Lithium cobalt oxides and methods of making same

Abstract
The present invention includes lithium cobalt oxides having hexagonal layered crystal structures and methods of making same. The lithium cobalt oxides of the invention have the formula LiwCo1−xAxO2+y wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants. The lithium cobalt oxides of the invention preferably have a position within the principal component space defined by the relationship axi+byi≦c, wherein xi={right arrow over (S)}i•{right arrow over (P)}c1; yi={right arrow over (S)}i•{right arrow over (P)}c2; the vector {right arrow over (S)}i is the x-ray spectrum for the LiwCo1−xAxO2+y compound; the vectors {right arrow over (P)}c1 and {right arrow over (P)}c2 defining the principal component space are determined by measuring the x-ray powder diffraction values {right arrow over (S)}i between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the regression of {right arrow over (S)}i of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles; and the values a, b and c are determined by using only the xi and yi values for LiwCo1−xAxO2+y compounds in the sample set that have a capacity fade after 50 cycles of less than or equal to 15%.
Description
FIELD OF THE INVENTION

The present invention relates to lithium cobalt oxides for use as positive electrode materials for rechargeable lithium and lithium-ion secondary batteries, and to methods of making lithium cobalt oxides.


BACKGROUND OF THE INVENTION

LiCoO2 is currently being used in over 95% of commercial lithium and lithium-ion secondary batteries as the active positive electrode material. The current production rate of lithium and lithium-ion batteries is about 30 million units per month with each unit containing about 10-15 g of LiCoO2 (i.e., 300-450 metric tons/month).


LiCoO2 can be made by a number of different methods by reacting a lithium salt and a cobalt salt. However, these methods often involve lengthy reaction times thereby reducing the rate of LiCoO2 production.


Therefore, there is a need in the art to provide a method of preparing LiCoO2 that demonstrates good performance in rechargeable lithium and lithium-ion secondary batteries and that can be produced with a relatively short reaction time.


SUMMARY OF THE INVENTION

The present invention includes lithium cobalt oxides having hexagonal layered crystal structures and methods of making same. The lithium cobalt oxides of the invention have the formula LiwCo1−xAxO2+y wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants. Preferably, 0.98≦w≦1.02 and 0≦x≦0.02.


The lithium cobalt oxides of the invention preferably have a position within the principal component space defined by the following relationship:

axi+byi≦c

wherein xi={right arrow over (S)}i•{right arrow over (P)}c1; yi={right arrow over (S)}i•{right arrow over (P)}c2; the vector {right arrow over (S)}i is the x-ray spectrum for the LiwCo1−xAxO2+y compound; the vectors {right arrow over (P)}c1 and {right arrow over (P)}c2 are determined by measuring the x-ray powder diffraction values {right arrow over (S)}i between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the regression of {right arrow over (S)}i of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles; and the values a, b and c are determined by using only the xi and yi values for LiwCo1−xAxO2+y compounds in the sample set that have a capacity fade after 50 cycles of less than or equal to 15%.


More preferably, the lithium cobalt oxides of the invention have a position within the principal component space defined by the following relationship:

xi+0.77yi≦−6

wherein xi={right arrow over (S)}i•{right arrow over (P)}c1; yi={right arrow over (S)}i•{right arrow over (P)}c2; {right arrow over (S)}i is the x-ray spectrum for the LiwCo1−xAxO2+y compound; and {right arrow over (P)}c1 and {right arrow over (P)}c2 are determined by measuring the x-ray powder diffraction values {right arrow over (S)}i between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the partial least squares regression (PLSR) of {right arrow over (S)}i of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles. For example, {right arrow over (P)}c1 and {right arrow over (P)}c2 can be defined by the coefficients provided in Table 1 (wherein 2θ is the scattering angle of x-ray powder diffraction measurements using CuKα rays).


The lithium cobalt oxides of the invention can be used in the positive electrode of a rechargeable lithium or lithium-ion secondary battery in accordance with the invention. For the lithium cobalt oxides of the invention, the capacity fade of a lithium coin cell having a lithium negative electrode and using the lithium cobalt oxide as the positive electrode material when cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles after 50 charge/discharge cycles is preferably less than or equal to 15%, more preferably less than or equal to 10%. Moreover, the initial specific discharge capacity is preferably greater than or equal to 154 mAh/g.


The lithium cobalt oxides of the invention are prepared by heating a lithium source compound, a cobalt source compound and optionally one or more source compounds that include dopants A at a temperature below about 850° C. to produce LiwCo1−xAxO2+y and heating the LiwCo1−xAxO2+y compound at a temperature from about 900° C. and 1000° C. to form and enhance the hexagonal layered crystal structure of the LiwCo1−xAxO2+y compound. The temperature in the first heating step is preferably from about 500° C. to about 850° C. and the temperature in the second heating step is preferably from about 950° C. to about 980° C. The source compounds in the first heating step can be heated at more than one temperature below about 850° C. In addition, the LiwCo1−xAxO2+y compound in the second heating step can be heated at more than one temperature from about 900° C. to about 1000° C. Preferably, the first heating step comprises heating the source compounds for a period of time of from about 30 minutes to about 3 hours and the second heating step comprises heating the source compounds for a period of time of from about 30 minutes to about 7 hours. The lithium source compound preferably used with the invention is selected from the group consisting of Li2CO3 and LiOH and the cobalt source compound is preferably selected from the group consisting of Co3O4 and Co(OH)2. The lithium cobalt oxide is preferably cooled after the heating steps at a rate of from 8° C./min to 140° C./min, more preferably from 10° C./min to 100° C./min.


The present invention further includes a method of analyzing a compound to determine if the compound is suitable for use as the active positive electrode material in a lithium or lithium-ion secondary battery. The method of the invention comprises determining a principal component space defined by the relationship axi+byi≦c, wherein xi={right arrow over (S)}i•{right arrow over (P)}c1; yi={right arrow over (S)}i•{right arrow over (P)}c2; the vector {right arrow over (S)}i is the x-ray spectrum for the compound; the vectors {right arrow over (P)}c1 and {right arrow over (P)}c2 are determined by measuring the x-ray powder diffraction values {right arrow over (S)}i for a predetermined range of 2θ values using a predetermined step size by sampling a plurality of samples of compounds having the same general formula as the compound and using the regression of {right arrow over (S)}i of the sample set against predetermined battery performance data for the samples by incorporating the samples as the positive electrode active material in a lithium or lithium-ion secondary battery. The xi and yi values for the compounds in the sample set that have the predetermined battery performance data are then used to determine a, b and c. The compound is analyzed by measuring the x-ray diffraction spectra for the compound to obtain x and y values and determining whether the x and y values meet the relationship axi+byi≦c and thus whether the compound possesses the battery performance and x-ray diffraction spectra suitable for use as the active positive electrode material.


The lithium cobalt oxides of the invention have good cycleability properties including good initial specific capacities and capacity fades and thus are desirable for use in rechargeable lithium and lithium-ion batteries. In addition, the lithium cobalt oxides of the present invention can be produced quickly in less than 10 hours and thus can be produced at a rate desired in the art.


These and other features and advantages of the present invention will become more readily apparent to those skilled in the art upon consideration of the following detailed description, which describes both the preferred and alternative embodiments of the present invention.





BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 illustrates the positions of several samples in a principal component space as defined by the axes {right arrow over (P)}c1 and {right arrow over (P)}c2 with the dotted line representing x+0.77y=−6 in accordance with a preferred embodiment of the invention.



FIG. 2 illustrates the capacity fade after 50 cycles versus x+0.77y with the dotted line defining the principal component space of the samples of the invention having the desired x-ray powder diffraction values and a fade of less than or equal to 15% in accordance with a preferred embodiment of the invention.





DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS OF THE INVENTION

In the following detailed description, preferred embodiments are described in detail to enable practice of the invention. Although the invention is described with reference to these specific preferred embodiments, it will be understood that the invention is not limited to these preferred embodiments. But to the contrary, the invention includes numerous alternatives, modifications and equivalents as will become apparent from consideration of the following detailed description and accompanying drawings.


The present invention is directed to lithium cobalt oxides having the formula LiwCo1−xAxO2+y wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants. Preferably, 0.98≦w≦1.02 and 0≦x≦0.02. The dopants A are elements other than Co including metals and non-metals such as Ni, Mn, Ti, Zr, V, Mo, Mg, Ca, Sr, Ba, Al, Ga, Si, Ge, Sn, and combinations thereof. Preferably, the dopants A are selected to produce an oxidation state N wherein +2.5≦N≦+3.5, and preferably N is about 3. The average oxidation state N is based on the molar amounts of the dopants used and the valences of the dopants used. For example, if the dopants are 40% Ti4+ and 60% Mg2+, on a molar basis, the average oxidation state N would be (0.4)(+4)+(0.6)(+2)=+2.8.


The lithium cobalt oxides of the invention have a hexagonal layered crystal structure that is substantially single-phase and substantially free of localized cubic spinel-like structural phases on the surface of the crystal or within the crystal. The substantially single-phase, hexagonal layered structures of the compounds of the invention can be characterized, for example, by their powder x-ray diffraction patterns.


The lithium cobalt oxides of the present invention preferably have an initial specific discharge capacity of greater than or equal to 154 mAh/g and a capacity fade after 50 cycles of less than or equal to 15%. Specifically, when the lithium cobalt oxides are used as the positive electrode material in a lithium coin cell having a lithium negative electrode and the cell is cycled between 3.0 and 4.3V at a constant current of C/3 (3 hours for complete charge or discharge) during both the charge and discharge cycles, the cells have a capacity fade of less than or equal to 15% after 50 charge/discharge cycles. In these coin cells, NRC 2325 coin cell hardware and Celgard 3501 separators can be used. The electrolyte is typically 1M LiPF6 in a 50:50 mixture of ethylene carbonate and dimethyl carbonate solvents. In addition, the positive electrode consists generally of 85% active material (by weight), 10% super S™ carbon black and 5% polyvinylidene fluoride (PVDF) as a binder polymer, coated on aluminum foil.


The lithium cobalt oxides of the invention have a capacity fade of less than or equal to 15% after 50 cycles and can also be characterized by their x-ray powder diffraction patterns, which describe the crystal properties of the lithium cobalt oxides. In particular, the lithium cobalt oxides of the invention can be characterized by their positions in a principal component space determined by conducting principal component analysis of x-ray powder diffraction spectra between 15° and 120° using a 0.02° step size and CuKα rays. In the principal component analysis, each x-ray spectrum is treated as a vector {right arrow over (S)}i.


It has been discovered using this principal component analysis that the crystal properties that are important to the rechargeable lithium battery performance can be described in the space defined generally by two vectors, namely, principal components {right arrow over (P)}c1 and {right arrow over (P)}c2. These two vectors are preferably determined by using the partial least squares regression of {right arrow over (S)}i of a large sample set against the battery performance of the sample. This sample set includes lithium cobalt oxides having a capacity fade of less than or equal to 15% and lithium cobalt oxides having a capacity fade of greater than 15%.


The principal component space that includes the compounds of the invention having a capacity fade of less than or equal to 15% can be defined by the following relationship:

axi+byi≦c

wherein xi={right arrow over (S)}i•{right arrow over (P)}c1 (i.e. the projection of {right arrow over (S)}i onto {right arrow over (P)}c1); yi={right arrow over (S)}i•{right arrow over (P)}c2 (i.e. the projection of {right arrow over (S)}i onto {right arrow over (P)}c2); the vector {right arrow over (S)}i is the x-ray spectrum for the LiwCo1−xAxO2+y compound. The vectors {right arrow over (P)}c1 and {right arrow over (P)}c2 defining the principal component space can be determined by measuring the x-ray powder diffraction values {right arrow over (S)}i between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the regression of {right arrow over (S)}iof the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles. The values a, b and c of the above relationship can then be determined by using the xi and yi values for LiwCo1−xAxO2+y compounds in the sample set that have a capacity fade after 50 cycles of less than equal to 15%, i.e., the LiwCo1−xAxO2+y compounds prepared according to the invention.


The vector {right arrow over (S)}i is the x-ray diffraction spectrum of the ith sample and can be written as
Si=(sij)

where the element sij is the jth data point in the x-ray diffraction spectrum. In a partial least squares regression, the vector {right arrow over (S)}i is autoscaled before the regression takes place. The autoscaling of {right arrow over (S)}i is defined by
Sias=(sijas)

where the autoscaled element
sijas=sij-s_j(1n-1in(sij-s_j)2)1/2

and {overscore (s)}j is the mean of sij.


In the preferred embodiment of the invention, the regression is carried out with the commercial software Pirouette 2.7 available from Infometrix Inc., and the details of the matrix bidiagonalization algorithm is described in R. Marine, “Analysis of two partial least squares algorithms for multivariate calibration”, Chemom. Intell. Lab. Syst. 2, 187-197 (1987).


In accordance with a preferred embodiment of the invention, by using principal component analysis, the lithium cobalt oxides of the invention have a position within the principal component space defined by the following relationship:

xi+0.77yi≦−6

wherein xi={right arrow over (S)}i•{right arrow over (P)}c1; yi={right arrow over (S)}i•{right arrow over (P)}c2; {right arrow over (S)}i is the x-ray spectrum for the LiwCo1−xAxO2+y compound; and {right arrow over (P)}c1 and {right arrow over (P)}c2 are determined by measuring the x-ray powder diffraction values {right arrow over (S)}i between 15° and 120° using a 0.02° step size and CuKα rays for a large sample set of lithium cobalt oxides and using the partial least squares regression (PLSR) of {right arrow over (S)}i of the sample set against the capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles. In particular, the vectors {right arrow over (P)}c1 and {right arrow over (P)}c2 can be defined by the coefficients provided in Table 1 below (wherein 2θ is the scattering angle for the x-ray powder diffraction measurements using CuKα rays). These measurements where obtained using a Rigaku RINT-2000 unit that includes a graphite monochrometer, a rotating anode x-ray source having a current of 150 mA and a voltage of 50 kV, anti-scattering slits set at 0.5°, and anti-divergence slits set at 0.5°. Alternative x-ray diffraction apparatus can also be used that produce comparable measurements to those produced with the above equipment and parameters.












TABLE 1









Coefficients of




Principal



Components









2θ (°)
Pc1
Pc2












15
−0.01379
0.011723


15.02
−0.02049
0.005086


15.04
0.006858
0.020376


15.06
−0.00273
0.013492


15.08
−0.01666
0.000753


15.1
0.000904
0.016155


15.12
−0.02289
0.001471


15.14
0.018222
0.020191


15.16
−0.00612
0.017684


15.18
−0.01378
0.008202


15.2
−0.0095
0.014128


15.22
−0.00584
0.010502


15.24
−0.00241
0.014185


15.26
−0.0042
0.014822


15.28
−0.00359
0.010447


15.3
−0.01418
0.009492


15.32
−0.01268
0.006936


15.34
−0.01096
0.001104


15.36
−0.00484
0.013178


15.38
−0.02337
−0.00186


15.4
−0.0185
0.005159


15.42
−0.01369
0.007337


15.44
−0.00748
0.015817


15.46
−0.00627
0.009999


15.48
0.002923
0.016611


15.5
−0.0327
−0.00277


15.52
−0.00977
0.009888


15.54
−0.01803
0.005404


15.56
−0.0272
−0.00066


15.58
−0.01839
0.006056


15.6
−0.0327
0.000501


15.62
0.001235
0.010506


15.64
0.004628
0.021154


15.66
−0.01218
0.011076


15.68
−0.01306
0.005821


15.7
0.017059
0.026611


15.72
−0.00215
0.017464


15.74
−0.0196
0.00594


15.76
−0.00819
0.015374


15.78
−0.00688
0.011794


15.8
0.01031
0.017391


15.82
−0.01997
−0.00295


15.84
−0.01823
0.006279


15.86
−0.00796
0.011133


15.88
−0.02731
0.001556


15.9
0.008318
0.01921


15.92
−0.0037
0.014344


15.94
0.007567
0.02072


15.96
−0.02027
0.003245


15.98
−0.01705
0.007303


16
−0.01747
0.00762


16.02
−0.0059
0.013742


16.04
−0.02571
0.000434


16.06
0.00123
0.015174


16.08
−0.02673
0.00081


16.1
0.000934
0.018006


16.12
0.017173
0.026867


16.14
−0.0108
0.007938


16.16
−0.00499
0.020462


16.18
−0.00362
0.016295


16.2
−0.00302
0.013994


16.22
−0.01649
0.005174


16.24
0.002657
0.011788


16.26
−0.01986
−0.0036


16.28
−0.01192
0.004226


16.3
−0.0216
0.002932


16.32
−0.03076
0.000359


16.34
−0.01702
0.005958


16.36
−0.02097
0.004851


16.38
−0.01344
0.012995


16.4
−0.01126
0.013165


16.42
0.001416
0.0201


16.44
0.025535
0.029834


16.46
−0.01265
0.005022


16.48
−0.01707
0.005082


16.5
0.005849
0.023367


16.52
0.003071
0.01825


16.54
−0.03934
−0.00869


16.56
−0.01295
0.008321


16.58
−0.00574
0.015581


16.6
−0.02828
−0.00285


16.62
−0.01588
0.006001


16.64
−0.01989
−0.00238


16.66
−0.02108
0.008733


16.68
−0.01442
0.008242


16.7
−0.00424
0.017365


16.72
−0.01095
0.007871


16.74
−0.00145
0.015669


16.76
−0.01792
0.005363


16.78
0.009292
0.023795


16.8
−0.00379
0.015671


16.82
−0.01185
0.007864


16.84
−0.01481
0.001576


16.86
−0.00946
0.009989


16.88
−0.00497
0.015388


16.9
−0.00746
0.01278


16.92
−0.03313
−0.00509


16.94
−0.01766
0.002109


16.96
−0.00494
0.01206


16.98
−0.00709
0.017855


17
−0.01431
0.006401


17.02
−0.01241
0.00343


17.04
−0.02585
−0.00416


17.06
−0.00734
0.00579


17.08
−0.03602
−0.00662


17.1
−0.00885
0.012849


17.12
−0.02162
0.003466


17.14
−0.01382
0.007276


17.16
0.002953
0.018335


17.18
0.006901
0.019663


17.2
−0.00352
0.020061


17.22
−0.02859
0.0027


17.24
−0.01144
0.012464


17.26
−0.03014
−0.00211


17.28
−0.0056
0.008632


17.3
−0.02932
0.000458


17.32
−0.01885
0.006068


17.34
−0.01338
0.009713


17.36
−0.01327
0.004136


17.38
−0.00626
0.012486


17.4
0.002288
0.017792


17.42
−0.00633
0.012048


17.44
−0.02932
−0.00294


17.46
−0.00039
0.014183


17.48
−0.01081
0.008801


17.5
−0.02267
−0.00304


17.52
0.003663
0.017713


17.54
−0.02049
0.000378


17.56
0.0067
0.021219


17.58
−0.01785
0.002949


17.6
0.001532
0.017236


17.62
−0.01238
0.007066


17.64
0.003693
0.012661


17.66
−0.01064
0.009715


17.68
−0.0185
0.00766


17.7
−0.00282
0.013796


17.72
−0.01224
0.007896


17.74
−0.03033
0.001698


17.76
−0.00672
0.014106


17.78
−0.00992
0.012609


17.8
−0.02352
−0.0001


17.82
−0.01922
0.004327


17.84
−0.03537
−0.00201


17.86
−0.00691
0.014539


17.88
−0.00823
0.010325


17.9
−0.01341
0.01078


17.92
0
0.013573


17.94
−0.01114
0.009463


17.96
−0.00572
0.008522


17.98
−0.02047
0.006135


18
−0.01031
0.010396


18.02
−0.00853
0.011528


18.04
−0.00317
0.013069


18.06
−0.01715
0.00713


18.08
−0.00062
0.020628


18.1
−0.00577
0.02002


18.12
−0.02559
0.008019


18.14
−0.01586
0.015835


18.16
0.000448
0.021869


18.18
−0.00187
0.022937


18.2
−0.00621
0.022318


18.22
−0.01021
0.016616


18.24
0.001908
0.025647


18.26
−0.00583
0.022761


18.28
0.00156
0.024646


18.3
−0.00703
0.021783


18.32
−0.00067
0.027247


18.34
−0.01602
0.016852


18.36
−0.01335
0.020628


18.38
−0.01909
0.01856


18.4
−0.02006
0.015536


18.42
−0.02351
0.014997


18.44
−0.02153
0.017015


18.46
−0.0188
0.017999


18.48
−0.01399
0.020999


18.5
−0.01053
0.02539


18.52
−0.00807
0.025661


18.54
−0.01182
0.02357


18.56
−0.01555
0.022593


18.58
−0.01783
0.020098


18.6
−0.01662
0.02401


18.62
−0.01523
0.024262


18.64
−0.01423
0.026318


18.66
−0.01205
0.026828


18.68
−0.00672
0.029541


18.7
−0.00607
0.028658


18.72
−0.00782
0.027355


18.74
−0.00921
0.026907


18.76
−0.01379
0.023838


18.78
−0.01457
0.023663


18.8
−0.01132
0.025623


18.82
−0.00952
0.026797


18.84
−0.00795
0.026828


18.86
−0.00768
0.02646


18.88
−0.01061
0.024087


18.9
−0.01522
0.015187


18.92
−0.01149
−0.00123


18.94
−0.003
−0.01538


18.96
0.004311
−0.01926


18.98
0.005713
−0.02314


19
0.005803
−0.02582


19.02
0.004528
−0.02683


19.04
0.001276
−0.02729


19.06
−0.00563
−0.02604


19.08
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19.1
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19.12
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19.14
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19.16
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19.18
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19.2
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19.22
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19.24
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19.26
−0.00862
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19.28
0.001626
0.001747


19.3
0.002138
0.004458


19.32
0.009506
0.005949


19.34
−0.02337
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19.36
−0.00841
0.004954


19.38
−0.00834
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19.4
−0.01069
0.001743


19.42
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19.44
−0.00984
0.002493


19.46
0.001291
0.010088


19.48
−0.00713
0.004186


19.5
−0.01293
0.004569


19.52
−0.00902
0.005117


19.54
−0.02137
0.000343


19.56
−0.02552
0.000334


19.58
−0.00517
0.011511


19.6
−0.0205
0.00186


19.62
−0.0191
0.001679


19.64
−0.01089
0.005838


19.66
−0.0001
0.010501


19.68
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19.7
−0.01223
0.010851


19.72
−0.01543
0.005512


19.74
−0.01617
0.006606


19.76
−0.01698
0.005792


19.78
0.000875
0.010478


19.8
−0.0166
0.003613


19.82
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19.84
−0.01593
0.003634


19.86
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0.005582


19.88
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0.008353


19.9
−0.01143
0.012236


19.92
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0.009301


19.94
−0.01072
0.014167


19.96
−0.01646
0.007919


19.98
−0.00695
0.013766


20
0.006355
0.018345


20.02
−0.00883
0.009009


20.04
−0.00965
0.005404


20.06
0.000385
0.012962


20.08
−0.03577
−0.00701


20.1
−0.00795
0.012584


20.12
−0.01401
0.008024


20.14
−0.01207
0.003991


20.16
−0.01908
0.006955


20.18
−0.00427
0.012219


20.2
−0.00489
0.013939


20.22
−0.00836
0.007352


20.24
−0.00177
0.016009


20.26
−0.02499
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20.28
−0.02213
0.004903


20.3
0.010213
0.016127


20.32
−0.01616
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20.34
−0.00898
0.0129


20.36
−0.00825
0.012261


20.38
−0.01249
0.011253


20.4
0.018624
0.026772


20.42
−0.02392
0.002221


20.44
−0.00965
0.010164


20.46
−0.03013
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20.48
−0.02063
0.003867


20.5
−0.0043
0.008775


20.52
−0.00782
0.008298


20.54
−0.00894
0.011756


20.56
0.001089
0.009437


20.58
−0.00917
0.008298


20.6
−0.0232
0.001626


20.62
0.004427
0.014517


20.64
0.002383
0.017477


20.66
−0.00285
0.014939


20.68
0.00623
0.016666


20.7
−0.02066
0.001616


20.72
0.010311
0.021438


20.74
−0.00119
0.014322


20.76
−0.01471
0.010765


20.78
−0.02638
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20.8
0.006671
0.02015


20.82
−0.03128
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20.84
−0.02993
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20.86
−0.01388
0.00209


20.88
−0.0082
0.013714


20.9
−0.01175
0.006298


20.92
−0.02048
0.008478


20.94
−0.00671
0.009965


20.96
−0.00476
0.011583


20.98
0.005786
0.01745


21
−0.01335
0.008671


21.02
−0.02061
0.000548


21.04
0.001174
0.015385


21.06
−0.01389
0.010398


21.08
−0.00554
0.013933


21.1
0.015595
0.019572


21.12
−0.0099
0.006623


21.14
−0.02205
0.000077


21.16
−0.01727
0.007892


21.18
0.005269
0.017743


21.2
−0.00134
0.013589


21.22
−0.0025
0.011282


21.24
0.002829
0.022534


21.26
−0.0005
0.01618


21.28
−0.03348
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21.3
0.030437
0.029966


21.32
0.005396
0.016311


21.34
0.015538
0.026089


21.36
0.012517
0.019858


21.38
−0.0037
0.01472


21.4
0.004328
0.017924


21.42
−0.01284
0.006399


21.44
−0.00354
0.013166


21.46
−0.00175
0.015049


21.48
0.004041
0.016107


21.5
−0.02468
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21.52
0.005123
0.018735


21.54
−0.01918
0.010905


21.56
0.005962
0.021907


21.58
−0.02169
0.004094


21.6
−0.01453
0.004601


21.62
−0.01533
0.006452


21.64
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0.01121


21.66
−0.01616
0.009162


21.68
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0.008133


21.7
−0.00971
0.006333


21.72
−0.02006
0.000296


21.74
−0.02026
0.005953


21.76
−0.01312
0.001919


21.78
−0.01507
0.005368


21.8
0.014438
0.024978


21.82
−0.02003
0.005478


21.84
−0.00485
0.010235


21.86
−0.01712
0.0038


21.88
−0.02135
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21.9
−0.00265
0.013177


21.92
−0.00148
0.015218


21.94
−0.02628
0.002951


21.96
0.005492
0.025542


21.98
0.004907
0.018044


22
−0.01045
0.004247


22.02
−0.01846
0.005301


22.04
0.00628
0.016218


22.06
−0.01848
0.005893


22.08
−0.02252
0.005295


22.1
−0.03302
0.002246


22.12
−0.02128
−0.00092


22.14
−0.02499
0.001116


22.16
−0.02249
−0.00212


22.18
−0.02014
0.004931


22.2
−0.02813
0.001388


22.22
−0.00866
0.012586


22.24
−0.01909
0.001292


22.26
−0.01945
0.005159


22.28
−0.02593
−0.00321


22.3
−0.02255
0.000552


22.32
−0.0129
0.007749


22.34
−0.01307
0.00804


22.36
0.002625
0.015573


22.38
−0.0248
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22.4
−0.0077
0.013756


22.42
0.007884
0.017561


22.44
−0.02733
0.001639


22.46
−0.0238
0.000782


22.48
−0.02771
−0.00575


22.5
−0.00173
0.010043


22.52
−0.01257
0.007468


22.54
−0.01333
0.00685


22.56
0.000981
0.010458


22.58
0.006026
0.00766


22.6
−0.01638
0.010483


22.62
−0.00178
0.013553


22.64
−0.01872
0.003838


22.66
0.003747
0.014632


22.68
−0.00616
0.008485


22.7
−0.00303
0.013119


22.72
−0.02635
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22.74
−0.00408
0.013397


22.76
−0.02269
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22.78
−0.00538
0.010801


22.8
−0.00284
0.012983


22.82
−0.01679
0.003658


22.84
0.008846
0.021592


22.86
−0.00917
0.00799


22.88
−0.00562
0.013578


22.9
−0.01283
0.007419


22.92
−0.00626
0.013858


22.94
−0.00926
0.008358


22.96
−0.00892
0.014315


22.98
−0.02426
−0.00322


23
−0.01972
0.000328


23.02
0.01007
0.021245


23.04
−0.01403
0.005833


23.06
−0.01464
0.006461


23.08
0.005973
0.01552


23.1
−0.03429
−0.00267


23.12
−0.00755
0.013801


23.14
−0.04371
−0.0155


23.16
−0.01093
0.008438


23.18
−0.02827
−0.00564


23.2
−0.00088
0.011403


23.22
−0.01145
0.009453


23.24
−0.02506
0.00081


23.26
−0.01379
0.007395


23.28
−0.01692
0.000941


23.3
−0.01316
0.011169


23.32
0.00768
0.017913


23.34
−0.00399
0.008139


23.36
−0.00279
0.015257


23.38
0.00113
0.015766


23.4
−0.01746
0.000192


23.42
−0.00605
0.005438


23.44
0.017311
0.025726


23.46
−0.01267
0.007595


23.48
−0.02628
−0.00073


23.5
−0.0217
−0.00025


23.52
−0.01736
0.00098


23.54
−0.01547
0.003639


23.56
−0.00221
0.010407


23.58
−0.01061
0.010618


23.6
−0.01905
0.004317


23.62
−0.01225
0.006182


23.64
−0.021
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23.66
−0.02283
0.001196


23.68
−0.0178
0.007563


23.7
−0.01597
0.002931


23.72
−0.02643
0.002642


23.74
−0.00702
0.003834


23.76
0.001378
0.01575


23.78
−0.022
0.00328


23.8
−0.00388
0.017333


23.82
−0.02793
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23.84
−0.00887
0.002761


23.86
−0.00579
0.003391


23.88
−0.01355
0.003078


23.9
−0.00188
0.018546


23.92
−0.01913
0.006185


23.94
−0.01102
0.005518


23.96
0.001974
0.018893


23.98
−0.00378
0.015227


24
−0.02221
0.004986


24.02
−0.00979
0.009019


24.04
−0.00435
0.012153


24.06
−0.02615
−0.00314


24.08
−0.03816
−0.00862


24.1
−0.02701
−0.00365


24.12
−0.03088
−0.00252


24.14
−0.00316
0.016163


24.16
−0.01106
0.003245


24.18
−0.02806
0.002902


24.2
−0.01107
0.010105


24.22
0.019514
0.023807


24.24
−0.00982
0.00959


24.26
−0.00739
0.006958


24.28
0.002216
0.01775


24.3
−0.017
0.003388


24.32
−0.01556
0.008514


24.34
−0.00748
0.00848


24.36
−0.00119
0.013486


24.38
−0.00266
0.015186


24.4
−0.02027
0.004786


24.42
−0.01667
0.006745


24.44
0.001616
0.012179


24.46
−0.01296
0.00123


24.48
−0.00333
0.009445


24.5
−0.01842
0.006243


24.52
0.009181
0.018398


24.54
0.003746
0.021953


24.56
0.001696
0.01495


24.58
−0.00925
0.008476


24.6
−0.00571
0.005147


24.62
−0.0149
0.003534


24.64
−0.00299
0.00898


24.66
0.005065
0.022226


24.68
−0.01245
0.007777


24.7
−0.01131
0.006099


24.72
−0.02172
−0.00368


24.74
−0.00289
0.010099


24.76
−0.00537
0.014523


24.78
−0.0095
0.010551


24.8
0.004244
0.013158


24.82
0.010712
0.018241


24.84
−0.00266
0.01372


24.86
−0.00677
0.012735


24.88
0.008761
0.022008


24.9
−0.00877
0.008737


24.92
−0.01968
0.00111


24.94
−0.00769
0.009958


24.96
−0.0031
0.010029


24.98
−0.02668
0.002323


25
−0.02494
−0.00192


25.02
−0.00857
0.010629


25.04
0.005546
0.016396


25.06
−0.00861
0.009162


25.08
−0.0262
0.000995


25.1
0.01366
0.023398


25.12
−0.0207
0.004447


25.14
−0.00097
0.014718


25.16
−0.02573
−0.00067


25.18
0.016504
0.027773


25.2
−0.00614
0.012067


25.22
−0.01746
0.009058


25.24
−0.03137
−0.00611


25.26
−0.02764
−0.0012


25.28
−0.01941
−0.00035


25.3
−0.02536
−0.00115


25.32
0.000333
0.010809


25.34
−0.01943
0.004198


25.36
−0.00413
0.012231


25.38
0.010904
0.019596


25.4
−0.00541
0.010338


25.42
−0.00498
0.01344


25.44
0.010043
0.019668


25.46
−0.01958
0.004682


25.48
−0.00628
0.013664


25.5
−0.01061
0.005871


25.52
−0.01913
0.004674


25.54
−0.01005
0.005347


25.56
−0.00419
0.010477


25.58
0.006916
0.014649


25.6
−0.00421
0.009707


25.62
−0.0081
0.005725


25.64
−0.01058
0.009645


25.66
−0.01522
0.007334


25.68
0.001527
0.014434


25.7
−0.0156
0.002469


25.72
0.001809
0.019528


25.74
−0.01565
0.008041


25.76
0.003336
0.01205


25.78
−0.0195
0.003922


25.8
−0.02285
0.002954


25.82
−0.015
0.009071


25.84
−0.01763
0.006081


25.86
−0.01897
−0.00537


25.88
0.002924
0.020215


25.9
−0.00287
0.011928


25.92
−0.01082
0.006704


25.94
−0.02791
−0.00291


25.96
0.005312
0.018242


25.98
−0.00511
0.013375


26
−0.0063
0.008874


26.02
0.007818
0.019922


26.04
−0.00214
0.01381


26.06
−0.02051
0.00237


26.08
−0.00228
0.012601


26.1
−0.00705
0.012003


26.12
−0.00996
0.010882


26.14
−0.0035
0.009221


26.16
−0.00914
0.005963


26.18
0.001914
0.019194


26.2
−0.00113
0.016394


26.22
−0.01984
0.004266


26.24
0.001612
0.017278


26.26
−0.00935
0.009986


26.28
−0.02268
0.000401


26.3
−0.00619
0.016747


26.32
−0.00725
0.006242


26.34
−0.01642
0.00659


26.36
−0.01089
0.006929


26.38
−0.00655
0.010025


26.4
−0.01423
0.006714


26.42
−0.00283
0.012455


26.44
−0.02344
0.00249


26.46
−0.01011
0.007331


26.48
0.002232
0.015685


26.5
−0.00471
0.009122


26.52
−0.02278
−0.00364


26.54
0.004199
0.019241


26.56
0.006031
0.016366


26.58
0.010566
0.017672


26.6
−0.02507
−0.0015


26.62
−0.01361
0.006748


26.64
−0.00867
0.009691


26.66
0.000598
0.008458


26.68
−0.00552
0.006225


26.7
−0.02224
0.002346


26.72
−0.01919
0.009327


26.74
−0.00769
0.006493


26.76
−0.01344
0.003947


26.78
−0.01288
0.003467


26.8
−0.00408
0.015847


26.82
−0.00521
0.01052


26.84
−0.00882
0.011913


26.86
−0.0129
0.006647


26.88
−0.01534
0.005824


26.9
−0.00805
0.014269


26.92
−0.00724
0.012557


26.94
0.015431
0.025878


26.96
−0.02073
0.001578


26.98
−0.00252
0.012251


27
−0.00817
0.012676


27.02
0.001597
0.013862


27.04
0.00347
0.020194


27.06
−0.02059
0.004236


27.08
−0.01943
0.004017


27.1
−0.00831
0.005192


27.12
−0.01406
0.008634


27.14
−0.01065
0.010937


27.16
−0.00515
0.011742


27.18
−0.01706
0.008871


27.2
−0.01483
0.001105


27.22
0.000447
0.012124


27.24
−0.02892
−0.00354


27.26
−0.02499
−0.00131


27.28
−0.02738
0.000582


27.3
0.005241
0.016228


27.32
−0.00391
0.013754


27.34
0.006421
0.021533


27.36
0.018528
0.026911


27.38
−0.02242
0.000776


27.4
0.005498
0.020277


27.42
−0.02724
−0.00294


27.44
0.009616
0.022676


27.46
−0.01744
0.00182


27.48
−0.00197
0.012919


27.5
0.009618
0.021362


27.52
−0.01545
0.002465


27.54
−0.03167
−0.00342


27.56
−0.0113
0.010606


27.58
−0.01945
0.004069


27.6
−0.00328
0.018147


27.62
−0.0171
0.004307


27.64
0.019697
0.021622


27.66
0.005681
0.019413


27.68
−0.02397
−0.0018


27.7
−0.02382
−0.00131


27.72
−0.00553
0.011185


27.74
−0.00847
0.012727


27.76
−0.02934
−0.00074


27.78
0.008647
0.022804


27.8
−0.01179
0.00403


27.82
−0.02378
−0.00068


27.84
−0.02046
0.001727


27.86
0.004824
0.016327


27.88
0.000938
0.008806


27.9
−0.01373
0.00965


27.92
−0.0005
0.016272


27.94
0.015177
0.025458


27.96
−0.01802
0.004884


27.98
−0.01153
0.006331


28
−0.03042
−0.0038


28.02
−0.01288
0.005578


28.04
−0.00379
0.013031


28.06
−0.02369
0.002368


28.08
−0.00065
0.01811


28.1
−0.01723
0.003797


28.12
−0.00192
0.015775


28.14
−0.00858
0.010935


28.16
−0.00669
0.01034


28.18
−0.01836
0.00244


28.2
0.010516
0.02167


28.22
−0.01699
0.00467


28.24
−0.00627
0.010137


28.26
−0.01977
0.00091


28.28
−0.01469
0.007629


28.3
−0.02661
0.000891


28.32
−0.01882
0.000967


28.34
−0.03158
−0.00224


28.36
−0.00515
0.010517


28.38
−0.00941
0.006748


28.4
−0.00756
0.009714


28.42
0.011084
0.022394


28.44
−0.00903
0.009018


28.46
0.004864
0.01783


28.48
−0.0079
0.009449


28.5
−0.01737
0.001732


28.52
−0.00364
0.007808


28.54
0.0059
0.018044


28.56
−0.0045
0.009878


28.58
−0.00975
0.008744


28.6
0.002862
0.016739


28.62
0.000083
0.014813


28.64
−0.00755
0.013734


28.66
−0.01132
0.012193


28.68
0.00133
0.016989


28.7
0.001462
0.01183


28.72
−0.02764
−0.00481


28.74
−0.02128
0.000332


28.76
−0.0063
0.01102


28.78
−0.02916
−0.00221


28.8
−0.02015
0.008284


28.82
−0.00019
0.014773


28.84
−0.01723
0.002924


28.86
−0.01419
0.001156


28.88
−0.00704
0.007962


28.9
0.010196
0.018418


28.92
−0.01382
0.008248


28.94
−0.0163
0.008812


28.96
−0.016
0.007167


28.98
0.002357
0.01828


29
−0.01221
0.007695


29.02
−0.0251
0.006927


29.04
−0.02535
0.000098


29.06
−0.00397
0.013823


29.08
−0.01404
0.008431


29.1
0.010195
0.022636


29.12
0.005695
0.016538


29.14
0.002258
0.018115


29.16
−0.01772
0.004794


29.18
0.001159
0.014385


29.2
−0.0092
0.007467


29.22
−0.01346
0.002319


29.24
−0.01994
0.006583


29.26
−0.00745
0.016102


29.28
0.014976
0.025483


29.3
−0.00281
0.014665


29.32
0.014037
0.022003


29.34
−0.01992
0.00479


29.36
0.002896
0.018062


29.38
−0.0073
0.0105


29.4
0.020844
0.024903


29.42
−0.02062
−0.0016


29.44
0.016068
0.028389


29.46
−0.00989
0.013432


29.48
−0.00538
0.010562


29.5
0.01339
0.022942


29.52
−0.01491
0.002251


29.54
0.0187
0.02469


29.56
−0.00622
0.01071


29.58
−0.01788
0.004856


29.6
−0.00868
0.003539


29.62
−8.1E−05
0.009763


29.64
0.003099
0.018182


29.66
−0.01044
0.006948


29.68
−0.01319
0.004393


29.7
−0.01604
0.002141


29.72
−0.0227
−0.00027


29.74
−0.02718
−0.00377


29.76
−0.01385
0.001537


29.78
−0.02563
0.000812


29.8
0.013076
0.02172


29.82
−0.01258
0.007628


29.84
0.000264
0.014495


29.86
−0.00824
0.008593


29.88
−0.00551
0.014503


29.9
−0.00649
0.008497


29.92
−0.01026
0.009555


29.94
−0.00609
0.008309


29.96
0.008504
0.02317


29.98
−0.01651
−9.8E−05


30
−0.0032
0.016386


30.02
−0.00223
0.012625


30.04
−0.00942
0.00727


30.06
−0.01206
0.010086


30.08
−0.00652
0.009938


30.1
0.001475
0.01733


30.12
−0.00949
0.009564


30.14
0.001704
0.013136


30.16
−0.00656
0.009109


30.18
−0.02383
0.002381


30.2
0.002981
0.015583


30.22
−0.01309
0.005521


30.24
−0.00388
0.01764


30.26
0.00401
0.016784


30.28
−0.00331
0.011388


30.3
−0.01989
0.006512


30.32
0.001651
0.016746


30.34
0.004464
0.015515


30.36
−0.00731
0.016502


30.38
−0.00776
0.010328


30.4
0.023111
0.028897


30.42
−0.00235
0.018385


30.44
0.01111
0.021558


30.46
0.006027
0.026659


30.48
0.017769
0.023064


30.5
0.026135
0.033952


30.52
0.018123
0.025153


30.54
−0.00103
0.01352


30.56
0.013664
0.020386


30.58
0.011993
0.020279


30.6
0.002853
0.015146


30.62
0.024847
0.027579


30.64
−0.00832
0.008861


30.66
−0.0036
0.018022


30.68
0.032136
0.031088


30.7
0.013275
0.022551


30.72
−0.01891
0.002249


30.74
−0.01116
0.002116


30.76
−0.02445
0.004766


30.78
0.004683
0.018027


30.8
−0.02769
−0.00355


30.82
0.01378
0.021965


30.84
−0.02251
0.000829


30.86
−0.01897
0.000111


30.88
−0.00984
0.001934


30.9
0.001901
0.014832


30.92
−0.02704
−0.00171


30.94
0.014571
0.016324


30.96
−0.00113
0.010285


30.98
−0.00741
0.012472


31
−0.00665
0.013505


31.02
−0.01032
0.006826


31.04
−0.01092
0.00532


31.06
−0.00616
0.012151


31.08
−0.01764
0.004348


31.1
0.000624
0.017634


31.12
0.005639
0.023065


31.14
−0.01207
0.007302


31.16
0.000254
0.014257


31.18
−0.02295
−0.00033


31.2
−0.01528
0.002097


31.22
−0.00267
0.008824


31.24
−0.01234
0.008548


31.26
−0.01836
−0.00163


31.28
0.007313
0.021627


31.3
0.002849
0.016382


31.32
−0.00709
0.01347


31.34
−0.00308
0.011328


31.36
−0.01354
0.007043


31.38
−0.00502
0.010034


31.4
−0.03349
−0.00523


31.42
−0.01144
0.003559


31.44
−0.01968
−0.00161


31.46
−0.00152
0.013478


31.48
−0.00555
0.00926


31.5
0.030193
0.033035


31.52
−7.3E−05
0.01216


31.54
0.006864
0.017784


31.56
−0.01044
0.012269


31.58
0.030593
0.033164


31.6
−0.01115
0.009799


31.62
0.003676
0.016094


31.64
0.001955
0.015344


31.66
0.016509
0.028698


31.68
0.000465
0.017275


31.7
0.025884
0.03104


31.72
0.008125
0.019226


31.74
0.013191
0.023575


31.76
0.014479
0.02358


31.78
0.018473
0.029406


31.8
0.004989
0.016899


31.82
0.031748
0.031703


31.84
0.020072
0.028479


31.86
0.013073
0.02574


31.88
0.000985
0.015379


31.9
−0.01767
0.003861


31.92
0.01701
0.027537


31.94
0.019866
0.029487


31.96
−0.01266
0.005426


31.98
0.005567
0.02107


32
−0.01995
0.005691


32.02
−0.02459
−0.00245


32.04
−0.01932
0.003482


32.06
0.005429
0.020827


32.08
−0.01778
0.00395


32.1
−0.01029
0.005051


32.12
−0.00443
0.011386


32.14
0.003423
0.019453


32.16
−0.00569
0.013532


32.18
−0.00778
0.00714


32.2
−0.02025
0.001867


32.22
0.004379
0.017767


32.24
−0.02923
−0.00157


32.26
−0.01327
0.004046


32.28
−0.01906
0.002395


32.3
−0.00892
0.004087


32.32
0.005644
0.015182


32.34
−0.02007
0.004015


32.36
0.005043
0.015201


32.38
0.004733
0.019663


32.4
−0.01404
0.012699


32.42
0.032235
0.035912


32.44
−0.00028
0.015281


32.46
0.009437
0.02088


32.48
0.003368
0.018178


32.5
−0.01152
0.006845


32.52
−0.0292
0.00523


32.54
−0.00375
0.019224


32.56
−0.01017
0.009151


32.58
0.002898
0.011601


32.6
0.008722
0.019379


32.62
0.002746
0.011536


32.64
0.005034
0.015214


32.66
0.002667
0.020189


32.68
−0.00588
0.010532


32.7
−0.00463
0.0126


32.72
−0.0017
0.01345


32.74
−0.00694
0.007963


32.76
0.011784
0.019523


32.78
−0.00829
0.008339


32.8
0.003194
0.015366


32.82
−0.02057
0.004601


32.84
−0.02376
−0.00071


32.86
−0.00409
0.011251


32.88
−0.00469
0.014445


32.9
0.001594
0.017117


32.92
−0.01193
0.006187


32.94
−0.02586
0.003907


32.96
−0.01315
0.001155


32.98
−0.02658
−0.00299


33
0.006225
0.019847


33.02
−0.01973
0.006251


33.04
−0.02017
0.002713


33.06
0.01257
0.021751


33.08
−0.00871
0.010671


33.1
−0.01366
0.002939


33.12
−0.00459
0.010636


33.14
−0.00593
0.010916


33.16
0.001156
0.010902


33.18
−0.00892
0.003827


33.2
−0.00791
0.006356


33.22
−0.00919
0.013444


33.24
−0.02161
−3.7E−05


33.26
0.00199
0.013131


33.28
−0.00336
0.014706


33.3
−0.02591
0.000538


33.32
−0.00835
0.010279


33.34
0.006869
0.021395


33.36
−0.01945
0.002014


33.38
−0.01373
0.004159


33.4
−0.00412
0.006637


33.42
−0.01256
0.003792


33.44
0.004991
0.01703


33.46
−0.00026
0.012747


33.48
0.003139
0.015999


33.5
−0.00821
0.008497


33.52
−0.01395
0.007341


33.54
−0.01824
0.006169


33.56
−0.00705
0.01106


33.58
−0.00558
0.011178


33.6
0.002844
0.015366


33.62
−0.00182
0.016945


33.64
−0.01399
0.007736


33.66
0.006651
0.021143


33.68
−0.00741
0.009405


33.7
−0.01939
0.006642


33.72
−0.02219
−0.00053


33.74
0.00065
0.015869


33.76
0.013841
0.017178


33.78
0.011878
0.020543


33.8
−0.02161
−0.00179


33.82
−0.01516
0.006838


33.84
−0.0337
−0.00773


33.86
−0.00553
0.006652


33.88
−0.00346
0.010502


33.9
0.014919
0.02145


33.92
−0.00221
0.008853


33.94
0.017466
0.023787


33.96
−0.01672
0.001938


33.98
−0.03564
−0.00356


34
0.002283
0.016591


34.02
−0.00945
0.010918


34.04
−0.00947
0.011189


34.06
−0.00062
0.010941


34.08
−0.00222
0.013839


34.1
0.013336
0.020261


34.12
−0.00086
0.01424


34.14
−0.00297
0.013978


34.16
−0.004
0.011465


34.18
−0.0015
0.013011


34.2
0.016505
0.019066


34.22
−0.01874
−0.0022


34.24
−0.0228
−0.00229


34.26
−0.01549
0.004474


34.28
−0.02362
−0.00225


34.3
−0.01827
0.003237


34.32
0.008803
0.015433


34.34
−0.03694
−0.00986


34.36
−0.04722
−0.01675


34.38
−0.01057
0.005552


34.4
−0.01565
0.00636


34.42
−0.01861
0.000058


34.44
−0.01317
0.008012


34.46
0.004923
0.024582


34.48
0.007405
0.021616


34.5
−0.00471
0.015837


34.52
0.004011
0.009376


34.54
−0.00482
0.009305


34.56
0.01
0.015938


34.58
−0.01041
0.011472


34.6
−0.02353
0.000591


34.62
−0.01552
0.005716


34.64
−0.00242
0.009526


34.66
−0.00696
0.01039


34.68
0.002172
0.016381


34.7
−0.00084
0.01396


34.72
−0.0246
−0.00442


34.74
−0.01037
0.012368


34.76
−0.02537
0.006835


34.78
−0.00422
0.011447


34.8
0.011139
0.019368


34.82
−0.0106
0.006716


34.84
−0.04202
−0.00794


34.86
0.002865
0.016437


34.88
−0.03471
−0.01058


34.9
0.003278
0.014302


34.92
0.016522
0.019532


34.94
−0.00693
0.011526


34.96
−0.00439
0.007038


34.98
−0.00628
0.009208


35
−0.01262
0.005114


35.02
−0.01982
0.003502


35.04
0.005737
0.015192


35.06
−0.00214
0.018302


35.08
−0.00771
0.012526


35.1
0.009119
0.019586


35.12
−0.01811
0.001313


35.14
−0.0268
−0.00464


35.16
−0.00267
0.013068


35.18
−0.00951
0.004513


35.2
−0.02567
−0.00167


35.22
−0.02181
0.000775


35.24
−0.01087
0.007925


35.26
−0.01362
0.005992


35.28
−0.00517
0.011224


35.3
−0.00474
0.00729


35.32
−0.01081
0.008576


35.34
−0.01815
0.008631


35.36
0.009374
0.019001


35.38
−0.00678
0.008848


35.4
−0.03153
−0.00685


35.42
−0.02454
0.003717


35.44
0.007427
0.021312


35.46
0.020196
0.018474


35.48
−0.00155
0.007739


35.5
0.008345
0.020513


35.52
−0.00127
0.015958


35.54
−0.00113
0.009531


35.56
−0.01507
0.004768


35.58
0.010779
0.01968


35.6
−0.01315
0.006617


35.62
−0.00569
0.011114


35.64
−0.00159
0.018301


35.66
−0.00158
0.006585


35.68
−0.01076
0.010447


35.7
−0.02272
0.000283


35.72
−0.00648
0.010068


35.74
−0.01876
0.004051


35.76
−0.02052
0.004838


35.78
−0.01165
0.006354


35.8
−0.03664
−0.00645


35.82
−0.0062
0.016039


35.84
−0.0083
0.014194


35.86
−0.00858
0.005058


35.88
0.007249
0.019764


35.9
−0.0031
0.013031


35.92
−0.01974
0.002045


35.94
−0.01097
0.010728


35.96
−0.00183
0.008395


35.98
−0.00467
0.010105


36
0.004798
0.016298


36.02
−0.00114
0.008773


36.04
−0.01459
0.003437


36.06
0.016053
0.02293


36.08
0.01472
0.020758


36.1
−0.01364
0.007037


36.12
−0.02592
−0.00082


36.14
−0.00101
0.018409


36.16
0.001831
0.017042


36.18
−0.00765
0.005269


36.2
−0.00059
0.009734


36.22
−0.00929
0.008077


36.24
−0.02806
−0.001


36.26
−0.01306
0.008169


36.28
0.008648
0.019446


36.3
−0.01763
0.000977


36.32
0.01989
0.023905


36.34
−0.02686
0.000448


36.36
−0.00988
0.008583


36.38
−0.00441
0.010648


36.4
−0.00747
0.008667


36.42
−0.01358
0.003272


36.44
−0.00526
0.007282


36.46
0.008331
0.021593


36.48
0.006504
0.018276


36.5
−0.00687
0.009015


36.52
−0.00557
0.010854


36.54
−0.00313
0.008928


36.56
−0.00035
0.015287


36.58
−0.0152
−0.00251


36.6
−0.01613
0.008349


36.62
−0.00332
0.010132


36.64
−0.01691
0.005944


36.66
0.00509
0.015287


36.68
−0.00347
0.007346


36.7
0.002245
0.015181


36.72
−0.02243
−0.00367


36.74
−0.00027
0.00669


36.76
−0.01887
−0.00211


36.78
−0.00733
0.0075


36.8
−0.00839
0.00454


36.82
0.005324
0.007557


36.84
−0.00702
0.004762


36.86
0.013369
0.01396


36.88
−0.00469
−0.00057


36.9
−0.01001
−0.00115


36.92
0.008325
0.010895


36.94
−0.0079
0.006352


36.96
−0.00982
0.005495


36.98
−0.00329
0.008544


37
−0.01053
0.010457


37.02
−0.00882
0.015864


37.04
0.009285
0.027611


37.06
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37.08
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37.1
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37.12
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37.14
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37.16
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37.18
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37.2
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37.22
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37.24
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37.26
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37.28
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37.3
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37.32
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37.34
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37.36
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37.38
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37.4
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37.42
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37.44
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37.46
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37.48
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37.5
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37.52
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37.54
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37.56
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37.58
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37.6
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37.62
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37.64
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37.66
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37.68
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37.7
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37.72
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37.74
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37.76
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37.78
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37.8
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37.82
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37.84
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37.86
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37.88
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37.9
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37.92
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37.94
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37.96
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37.98
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38
−0.00196
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38.02
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38.04
0.005849
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38.06
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38.08
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38.1
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38.12
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38.14
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38.16
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38.18
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38.2
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38.22
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38.24
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38.26
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38.28
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38.3
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38.32
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38.34
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38.36
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38.38
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38.4
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38.42
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38.44
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38.46
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38.48
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38.5
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38.52
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38.54
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38.56
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38.58
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38.6
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38.62
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38.64
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38.66
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38.68
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38.7
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38.72
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38.74
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38.76
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38.78
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38.8
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38.82
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38.84
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38.86
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38.88
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38.9
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38.92
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38.94
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38.96
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38.98
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39
−0.01134
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39.02
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39.04
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39.06
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39.08
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39.1
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39.12
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39.14
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39.16
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39.18
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39.2
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39.22
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39.24
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39.26
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39.28
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39.3
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39.32
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39.34
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39.36
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39.38
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39.4
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39.42
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39.44
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39.46
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39.48
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39.5
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39.52
0.009228
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39.54
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39.56
0.012552
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39.58
0.00452
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39.6
0.00228
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39.62
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39.64
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39.66
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39.68
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39.7
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39.72
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39.74
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39.76
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39.78
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39.8
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39.82
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39.84
0.035291
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39.86
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39.88
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39.9
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39.92
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39.94
0.005641
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39.96
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39.98
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40
−0.00364
0.017301


40.02
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40.04
−0.01738
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40.06
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40.08
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40.1
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40.12
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40.14
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40.16
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40.18
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40.2
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40.22
0.007827
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40.24
0.012368
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40.26
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40.28
−0.00717
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40.3
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40.32
0.004902
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40.34
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40.36
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40.38
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40.4
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40.42
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40.44
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40.46
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40.48
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40.5
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40.52
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40.54
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40.56
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40.58
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40.6
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40.62
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40.64
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40.66
0.001824
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40.68
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40.7
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40.72
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40.74
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40.76
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40.78
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40.8
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40.82
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40.84
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40.86
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40.88
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40.9
0.006809
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40.92
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40.94
0.001412
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40.96
0.008119
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40.98
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41
−0.00412
0.019327


41.02
0.000987
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41.04
0.001283
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41.06
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0.002774


41.08
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41.1
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41.12
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41.14
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41.16
0.000493
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41.18
−0.0027
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41.2
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41.22
−0.00069
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41.24
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41.26
0.005165
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41.28
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41.3
0.000341
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41.32
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41.34
0.009833
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41.36
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41.38
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41.4
0.038508
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41.42
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41.44
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41.46
0.003349
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41.48
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41.5
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41.52
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41.54
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41.56
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41.58
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41.6
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41.62
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41.64
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41.66
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41.68
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41.7
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41.72
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41.74
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41.76
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41.78
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41.8
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41.82
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41.84
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41.86
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41.88
0.016677
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41.9
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41.92
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41.94
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41.96
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41.98
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42
−0.0013
0.014195


42.02
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42.04
−0.00641
0.009857


42.06
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42.08
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42.1
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42.12
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42.14
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42.16
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42.18
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42.2
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42.22
−0.0121
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42.24
0.003193
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42.26
0.007657
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42.28
0.00035
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42.3
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42.32
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0.003055


42.34
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42.36
0.01101
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42.38
0.005154
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42.4
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42.42
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42.44
0.006059
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42.46
0.008619
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42.48
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42.5
0.015122
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42.52
0.009283
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42.54
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42.56
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42.58
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45.36
0.007573
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45.38
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45.4
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45.42
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45.44
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45.46
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45.48
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45.5
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45.52
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45.54
0.001748
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45.56
0.011254
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45.58
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45.6
0.002
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45.62
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45.64
0.008925
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45.66
0.005076
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45.68
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45.7
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45.72
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45.74
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45.76
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45.78
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45.8
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45.82
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45.84
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45.86
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45.88
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45.9
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45.92
0.001145
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45.94
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45.96
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45.98
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46
−0.01379
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46.02
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46.04
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46.06
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46.08
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46.1
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46.12
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46.14
0.014145
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46.16
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46.18
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46.2
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46.22
0.01379
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46.24
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46.26
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46.28
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46.3
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46.32
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46.34
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46.36
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46.38
0.011821
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46.4
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46.42
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46.44
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46.46
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46.48
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46.5
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46.52
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46.54
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46.56
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46.58
0.001202
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46.6
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46.62
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46.64
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46.66
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46.68
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46.7
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46.72
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46.74
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46.76
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46.78
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46.8
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46.82
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46.84
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46.86
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46.88
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46.9
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46.92
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46.94
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46.96
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46.98
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47
−0.00278
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47.02
0.006851
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47.04
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47.06
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47.08
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47.1
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47.12
0.003965
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47.14
0.026192
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47.16
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47.18
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47.2
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47.22
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47.24
0.002328
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47.26
0.000448
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47.28
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47.3
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47.32
0.004602
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47.34
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47.36
0.008756
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47.38
0.001633
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47.4
0.003902
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47.42
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47.44
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47.46
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47.48
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47.5
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47.52
0.000142
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47.54
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47.56
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47.58
0.00721
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47.6
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47.62
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47.64
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47.66
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47.68
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47.7
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47.72
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47.74
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47.76
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47.78
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47.8
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47.82
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47.84
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47.86
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47.88
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47.9
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47.92
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47.94
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47.96
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47.98
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48
−0.01291
0.006579


48.02
0.006953
0.02176


48.04
−0.02151
0.001396


48.06
0.004481
0.020214


48.08
0.006197
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48.1
0.000009
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48.12
−0.00719
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48.14
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48.16
−0.01763
0.004911


48.18
−0.00973
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48.2
−0.01276
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48.22
0.003461
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48.24
−0.00558
0.009064


48.26
−0.0179
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48.28
−0.00875
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48.3
0.005201
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48.32
−0.0324
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48.34
0.011856
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48.36
0.005825
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48.38
−0.00305
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48.4
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48.42
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48.44
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48.46
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48.48
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48.5
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48.52
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48.54
0.001591
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48.56
−0.0112
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48.58
−0.00783
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48.6
−0.00276
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48.62
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48.64
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48.66
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48.68
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48.7
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48.72
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48.74
−0.00989
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48.76
0.000456
0.016566


48.78
−0.01588
0.002643


48.8
0.029267
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48.82
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48.84
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48.86
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48.88
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48.9
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48.92
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48.94
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48.96
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48.98
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49
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49.02
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49.04
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49.06
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49.08
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49.1
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49.12
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49.14
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49.16
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49.18
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49.2
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49.22
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49.24
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49.26
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49.28
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49.3
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49.32
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49.34
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49.36
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49.38
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49.4
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49.42
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49.44
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49.46
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49.48
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49.5
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49.52
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49.54
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49.56
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49.58
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49.6
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49.62
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49.64
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49.66
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49.68
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49.7
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49.72
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49.74
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49.76
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49.78
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49.8
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49.82
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49.84
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49.86
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49.88
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49.9
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49.92
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49.94
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49.96
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49.98
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50
0.004645
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50.02
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50.04
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50.06
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50.08
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50.1
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50.12
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50.14
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50.16
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50.18
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50.2
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50.22
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50.24
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50.26
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50.28
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50.3
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50.32
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50.34
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50.36
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50.38
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50.4
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50.42
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50.44
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50.46
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50.48
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50.5
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50.52
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50.54
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50.56
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50.58
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50.6
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50.62
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50.64
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50.66
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50.68
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50.7
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50.72
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50.74
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50.76
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50.78
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50.8
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50.82
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50.84
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50.86
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50.88
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50.9
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50.92
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50.94
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50.96
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50.98
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51
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51.02
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51.04
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51.06
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51.08
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51.1
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51.12
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51.14
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51.16
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51.18
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51.2
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51.22
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51.24
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51.26
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51.28
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51.3
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51.32
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51.34
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51.36
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51.38
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51.4
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51.42
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51.44
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51.46
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51.48
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51.5
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51.52
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51.54
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51.56
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51.58
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51.6
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51.62
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51.64
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51.66
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51.68
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51.7
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51.72
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51.74
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51.76
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51.78
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51.8
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51.82
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51.84
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51.86
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51.88
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51.9
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51.92
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51.94
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51.96
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51.98
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52
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52.02
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52.04
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52.06
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52.08
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52.1
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52.12
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52.14
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52.16
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52.18
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52.2
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52.22
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52.24
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52.26
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52.28
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52.3
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52.32
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52.34
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52.36
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52.38
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52.4
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52.42
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52.44
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52.46
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52.48
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52.5
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52.52
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52.54
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52.56
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52.58
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52.6
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52.62
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52.64
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52.66
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52.68
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52.7
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52.72
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52.74
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52.76
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52.78
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52.8
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52.82
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52.84
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52.86
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52.88
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52.9
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52.92
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52.94
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52.96
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52.98
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53
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53.02
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53.04
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53.06
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53.08
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53.1
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53.12
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53.14
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53.16
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53.18
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53.2
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53.22
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53.24
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53.26
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53.28
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53.3
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53.32
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53.34
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53.36
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53.38
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53.4
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53.42
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53.44
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53.46
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53.48
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53.5
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53.52
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53.54
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53.56
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53.58
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53.6
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53.62
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53.64
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53.66
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53.68
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53.7
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53.72
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53.74
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53.76
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53.78
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53.8
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53.82
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53.84
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53.86
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53.88
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53.9
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53.92
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53.94
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53.96
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53.98
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54
0.000204
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54.02
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54.04
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54.06
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54.08
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54.1
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54.12
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54.14
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54.16
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54.18
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54.2
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54.22
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54.24
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54.26
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54.28
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54.3
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54.32
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54.34
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54.36
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54.38
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54.4
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54.42
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54.44
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54.46
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54.48
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54.5
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54.52
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54.54
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54.56
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54.58
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54.6
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54.62
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54.64
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54.66
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54.68
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54.7
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54.72
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54.74
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54.76
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54.78
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54.8
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54.82
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54.84
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54.86
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54.88
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54.9
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54.92
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54.94
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54.96
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54.98
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55
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55.02
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55.04
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55.06
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55.08
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55.1
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55.12
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55.14
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55.16
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55.18
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55.2
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55.22
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55.24
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55.26
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55.28
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55.3
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55.32
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55.34
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55.36
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55.38
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55.4
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55.42
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55.44
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55.46
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55.48
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55.5
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55.52
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55.54
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55.56
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55.58
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55.6
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55.62
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55.64
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55.66
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55.68
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55.7
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55.72
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55.74
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55.76
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55.78
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55.8
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55.82
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55.84
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55.86
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55.88
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55.9
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55.92
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55.94
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55.96
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55.98
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56
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56.02
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56.04
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56.06
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56.08
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56.1
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56.12
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56.14
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56.16
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56.18
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56.2
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56.22
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56.24
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56.26
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56.28
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56.3
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56.32
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56.34
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56.36
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56.38
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56.4
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56.42
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56.44
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56.46
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56.48
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56.5
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56.52
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56.54
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56.56
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56.58
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56.6
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56.62
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56.64
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56.66
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56.68
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56.7
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56.72
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56.74
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56.76
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56.78
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56.8
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56.82
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56.84
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56.86
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56.88
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56.9
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56.92
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56.94
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56.96
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56.98
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57
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57.02
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57.04
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57.06
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57.08
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57.1
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57.12
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57.14
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57.16
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57.18
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57.2
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57.22
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57.24
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57.26
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57.28
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57.3
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57.32
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57.34
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57.36
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57.38
0.003356
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57.4
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57.42
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57.44
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57.46
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57.48
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57.5
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57.52
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57.54
0.01308
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57.56
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57.58
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57.6
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57.62
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57.64
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57.66
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57.68
0.008017
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57.7
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57.72
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57.74
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57.76
0.011103
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57.78
0.009191
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57.8
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57.82
0.006254
0.017726


57.84
−0.01739
−0.00024


57.86
−0.01221
0.007211


57.88
−0.01574
0.00489


57.9
−0.00829
0.007912


57.92
−0.00049
0.014045


57.94
−0.00176
0.014112


57.96
0.02715
0.026343


57.98
−0.01938
0.002146


58
0.027895
0.030962


58.02
0.002267
0.014469


58.04
−0.01237
0.010801


58.06
−0.00357
0.015143


58.08
−0.01001
0.003588


58.1
−0.0145
0.010505


58.12
−0.01971
0.000688


58.14
−0.0105
0.006341


58.16
−0.01117
0.008954


58.18
0.010102
0.014395


58.2
−0.02039
0.000224


58.22
−0.00347
0.015892


58.24
0.000691
0.016265


58.26
0.006383
0.020602


58.28
0.004654
0.0204


58.3
−0.00739
0.007334


58.32
0.000567
0.015619


58.34
−0.01826
0.00657


58.36
−0.01189
0.007979


58.38
0.024394
0.032529


58.4
0.013846
0.02559


58.42
0.000922
0.017065


58.44
0.005923
0.019814


58.46
0.00373
0.019715


58.48
0.002423
0.014282


58.5
−0.01297
0.003926


58.52
−0.01548
0.004026


58.54
0.011186
0.021228


58.56
0.024078
0.033072


58.58
−0.00263
0.017567


58.6
−0.0056
0.007133


58.62
0.004654
0.014806


58.64
−0.01142
0.006637


58.66
−0.00659
0.013005


58.68
−0.02472
−3.1E−05


58.7
−0.0094
0.001894


58.72
−0.02602
−0.00093


58.74
0.003168
0.020166


58.76
0.003598
0.01683


58.78
−0.0003
0.016168


58.8
−0.01104
0.00316


58.82
−0.02356
−0.00054


58.84
0.009979
0.021628


58.86
−0.00324
0.018895


58.88
0.001801
0.01898


58.9
−0.0004
0.026087


58.92
0.003251
0.024932


58.94
−0.02366
0.008968


58.96
−0.00157
0.024025


58.98
−0.00883
0.021501


59
−0.01804
0.019064


59.02
−0.01512
0.021411


59.04
−0.01312
0.023857


59.06
−0.01656
0.019808


59.08
−0.01199
0.020058


59.1
−0.01453
0.006979


59.12
0.000565
−0.00587


59.14
0.015913
−0.01057


59.16
0.015962
−0.01565


59.18
0.021858
−0.01082


59.2
−0.00275
−0.01514


59.22
−0.00415
0.009809


59.24
−0.01517
0.011037


59.26
−0.01734
0.006079


59.28
0.003083
0.003451


59.3
0.01737
−0.00397


59.32
0.023493
−0.00589


59.34
0.010561
−0.00831


59.36
0.008795
0.003546


59.38
−0.01092
0.009695


59.4
−0.01061
0.019574


59.42
−0.00963
0.023933


59.44
−0.01101
0.023725


59.46
−0.01546
0.023662


59.48
−0.01362
0.025266


59.5
−0.01206
0.026721


59.52
−0.01062
0.027278


59.54
−0.01805
0.02302


59.56
−0.0212
0.018922


59.58
−0.01599
0.01386


59.6
−0.00608
−0.00305


59.62
0.012343
−0.01618


59.64
0.018483
−0.01954


59.66
0.017454
−0.01932


59.68
0.007503
−0.01491


59.7
−0.01571
−0.0014


59.72
−0.02045
0.015092


59.74
−0.02608
0.009426


59.76
0.000069
0.002626


59.78
0.006765
−0.01802


59.8
0.021973
−0.0173


59.82
0.013796
−0.0244


59.84
0.01441
−0.02155


59.86
0.01095
−0.01754


59.88
0.000274
−0.02117


59.9
0.00884
−0.01179


59.92
−0.00375
−0.01504


59.94
−0.01546
−0.01464


59.96
−0.0123
−0.01728


59.98
0.000019
0.002719


60
0.0169
0.012863


60.02
−0.02586
−0.01045


60.04
0.002003
0.006494


60.06
0.00626
0.009675


60.08
0.003681
0.012213


60.1
0.003586
0.01766


60.12
−0.01618
0.001184


60.14
−0.00028
0.008218


60.16
0.022239
0.033722


60.18
0.014763
0.018566


60.2
−0.01156
0.010403


60.22
−0.01777
−0.00162


60.24
0.008616
0.015016


60.26
−0.00422
0.01066


60.28
−0.00974
0.007239


60.3
−0.00728
0.013121


60.32
−0.01157
0.009975


60.34
0.00634
0.015139


60.36
−0.01087
0.003203


60.38
−0.00844
0.010978


60.4
0.002304
0.019422


60.42
−0.007
0.010567


60.44
−0.02109
0.002851


60.46
−0.00177
0.016491


60.48
−0.00751
0.010778


60.5
−0.00495
0.008166


60.52
0.000573
0.016355


60.54
−0.00844
0.00577


60.56
−0.00105
0.015468


60.58
−0.03367
−0.00827


60.6
−0.02833
0.000896


60.62
−0.03015
−0.00327


60.64
0.006151
0.020829


60.66
−0.01727
0.009789


60.68
−0.01392
0.005714


60.7
−0.00734
0.012921


60.72
−0.02074
0.002866


60.74
0.001811
0.012879


60.76
−0.02273
0.004544


60.78
−0.00438
0.013377


60.8
−0.02833
−0.00476


60.82
−0.01201
0.004231


60.84
−0.01601
0.005426


60.86
0.025466
0.032875


60.88
−0.00567
0.01152


60.9
−0.00932
0.004512


60.92
0.013744
0.021137


60.94
−0.00305
0.014791


60.96
−0.00588
0.017786


60.98
−0.01598
0.008431


61
0.010935
0.02127


61.02
0.002248
0.013452


61.04
0.008326
0.019159


61.06
0.014493
0.023346


61.08
−0.00927
0.010404


61.1
−0.00186
0.013974


61.12
−0.01615
0.003998


61.14
−0.01428
0.006595


61.16
−0.00643
0.012442


61.18
−0.01323
0.002553


61.2
−0.00565
0.008747


61.22
−0.01996
0.00121


61.24
0.014123
0.024712


61.26
0.001266
0.01223


61.28
−0.00318
0.01554


61.3
−0.00329
0.017508


61.32
−0.01501
0.004136


61.34
−0.00886
0.009186


61.36
−0.00854
0.011395


61.38
0.002415
0.016395


61.4
0.007198
0.013189


61.42
−0.00363
0.011491


61.44
0.011445
0.025148


61.46
−0.00277
0.013991


61.48
−0.01627
−0.00154


61.5
−0.00705
0.00283


61.52
−0.00215
0.01261


61.54
−0.00645
0.010743


61.56
0.003449
0.015448


61.58
−0.00316
0.011099


61.6
0.004842
0.017444


61.62
0.004949
0.018385


61.64
−0.02389
−0.00012


61.66
−0.00148
0.008217


61.68
0.012354
0.019851


61.7
−0.0015
0.011262


61.72
−0.03246
−0.00203


61.74
0.008914
0.017853


61.76
−0.01233
0.007282


61.78
−0.01144
0.007804


61.8
−0.0147
0.006057


61.82
0.005209
0.021859


61.84
0.013914
0.02448


61.86
−0.00764
0.007253


61.88
0.021901
0.027662


61.9
−0.00027
0.014089


61.92
−0.03702
−0.00628


61.94
−0.00154
0.014545


61.96
−0.01101
0.0089


61.98
0.002174
0.013508


62
0.00207
0.013963


62.02
0.02564
0.031638


62.04
0.01032
0.018291


62.06
−0.02039
0.001017


62.08
−0.00677
0.007626


62.1
−0.01373
0.005504


62.12
0.000282
0.015833


62.14
−0.01663
0.001696


62.16
−0.00499
0.015741


62.18
0.025716
0.028582


62.2
−0.00803
0.012763


62.22
−0.01521
0.007406


62.24
−0.02358
0.001717


62.26
−0.02858
−0.00096


62.28
0.012188
0.022437


62.3
−0.00086
0.012238


62.32
0.009732
0.019586


62.34
−0.00421
0.013949


62.36
0.001907
0.019421


62.38
−0.00721
0.012831


62.4
−0.02235
0.001753


62.42
−0.00828
0.011083


62.44
0.020621
0.027042


62.46
0.004834
0.020279


62.48
−0.00832
0.01155


62.5
−0.00778
0.007385


62.52
0.030767
0.028864


62.54
−0.01651
0.001941


62.56
0.000314
0.014558


62.58
−0.00894
0.011278


62.6
−0.02905
−0.00652


62.62
−0.01559
0.001637


62.64
−0.00923
0.010789


62.66
−0.00701
0.010623


62.68
0.034636
0.030672


62.7
−0.01594
0.002488


62.72
0.010807
0.021564


62.74
0.0062
0.014238


62.76
0.004319
0.014395


62.78
−0.02453
−0.0012


62.8
0.004087
0.017609


62.82
0.002593
0.012223


62.84
0.006462
0.025534


62.86
0.019587
0.025675


62.88
−0.00428
0.004919


62.9
−0.00689
0.003587


62.92
0.020156
0.023848


62.94
−0.01012
0.010305


62.96
−0.01883
−0.00443


62.98
0.006674
0.015884


63
−0.02079
0.006183


63.02
−0.0128
0.003578


63.04
−0.00031
0.015328


63.06
−0.01922
0.004119


63.08
−0.00204
0.013878


63.1
0.000992
0.014996


63.12
0.030637
0.029326


63.14
−0.00061
0.015297


63.16
−0.00379
0.015885


63.18
−0.00725
0.005162


63.2
−0.01624
0.006375


63.22
−0.00103
0.018569


63.24
0.005798
0.020726


63.26
0.003658
0.015261


63.28
0.003847
0.017328


63.3
−0.021
−0.00373


63.32
0.003128
0.015608


63.34
−0.00148
0.012731


63.36
−0.01122
0.007242


63.38
−0.00654
0.008314


63.4
−0.00461
0.01125


63.42
0.000193
0.01638


63.44
−0.01314
0.002084


63.46
−0.01282
0.012267


63.48
0.015168
0.027305


63.5
−0.02366
0.003161


63.52
−0.01414
0.006139


63.54
−0.01012
0.00575


63.56
−0.0136
0.006203


63.58
0.000007
0.010688


63.6
0.019995
0.027301


63.62
−0.00451
0.013964


63.64
−0.00956
0.010486


63.66
−0.02425
0.001904


63.68
−0.01339
0.005909


63.7
−0.01386
0.001977


63.72
0.011416
0.026609


63.74
−0.00844
0.007653


63.76
−0.00468
0.008722


63.78
−0.01396
0.006371


63.8
0.006471
0.016748


63.82
−0.01453
−0.00153


63.84
0.015301
0.021849


63.86
−0.01951
0.001212


63.88
−0.00407
0.012369


63.9
0.006023
0.016845


63.92
−0.00345
0.009416


63.94
0.007054
0.020912


63.96
−0.0082
0.003415


63.98
−0.02431
−0.00364


64
−0.01781
0.00536


64.02
−0.03023
−0.00701


64.04
−0.01368
0.005304


64.06
−0.00459
0.014432


64.08
0.0039
0.018818


64.1
−0.00216
0.012226


64.12
−0.00216
0.014183


64.14
−0.01336
0.009749


64.16
−0.03045
−0.01094


64.18
−0.01973
0.003458


64.2
−0.01586
0.005682


64.22
−0.00346
0.01247


64.24
−0.00476
0.010972


64.26
0.015917
0.022256


64.28
0.002906
0.015343


64.3
0.005067
0.017523


64.32
0.003986
0.019308


64.34
−0.02232
−0.00407


64.36
−0.01404
0.007916


64.38
0.001525
0.015904


64.4
−0.00626
0.003569


64.42
−1.2E−05
0.012571


64.44
0.000781
0.008328


64.46
0.016502
0.023736


64.48
−0.00977
0.005516


64.5
0.010132
0.022211


64.52
−0.0164
0.002803


64.54
0.012748
0.027626


64.56
−0.0074
0.01236


64.58
−0.00231
0.016093


64.6
0.021028
0.031251


64.62
−0.03053
−0.01124


64.64
−0.01197
0.004527


64.66
−0.02668
−0.00636


89.52
0.006655
0.015242


89.54
−0.0019
0.010947


89.56
−0.02067
0.001522


89.58
−0.01371
0.00795


89.6
−0.03057
−0.0022


89.62
0.01032
0.018621


89.64
−0.02588
0.000776


89.66
−0.00164
0.013302


89.68
0.005274
0.02168


89.7
−0.00254
0.009249


89.72
−0.01147
0.010923


89.74
0.012789
0.022655


89.76
0.014879
0.017936


89.78
−0.0072
0.009961


89.8
0.00814
0.02357


89.82
−0.00707
0.006861


89.84
−0.00661
0.012538


89.86
0.001584
0.017567


89.88
−0.00699
0.011558


89.9
−0.01167
0.006483


89.92
0.023649
0.026408


89.94
−0.01065
0.003718


89.96
−0.00437
0.011189


89.98
−0.00617
0.007667


90
−0.02426
−0.00405


90.02
−7E−06
0.010775


90.04
−0.01148
0.006576


90.06
0.005918
0.014726


90.08
−0.00431
0.00769


90.1
−0.02011
−0.00036


90.12
−0.00448
0.011677


90.14
−0.0104
0.005563


90.16
0.020222
0.023218


90.18
−0.00443
0.00521


90.2
0.011742
0.019435


90.22
−0.00238
0.016925


90.24
−0.00433
0.015195


90.26
−0.00734
0.0131


90.28
−0.02347
−0.00121


90.3
−0.0017
0.010209


90.32
−0.00446
0.006142


90.34
−0.01142
0.011989


90.36
0.002501
0.017676


90.38
−0.02856
−0.00186


90.4
−0.00632
0.007122


90.42
−0.00759
0.007806


90.44
−0.00036
0.013945


90.46
−0.03349
−0.00595


90.48
−0.00656
0.011259


90.5
−0.02447
−0.00076


90.52
0.010318
0.020981


90.54
−0.01001
0.010745


90.56
0.010035
0.025269


90.58
0.007286
0.015892


90.6
−0.00807
0.009989


90.62
0.008209
0.018393


90.64
−0.00978
0.004064


90.66
−0.00567
0.015367


90.68
−0.00814
0.013789


90.7
−0.00991
0.009934


90.72
−0.01475
0.001774


90.74
−0.01172
0.016758


90.76
−0.00877
0.006296


90.78
0.007077
0.021212


90.8
−0.00283
0.010971


90.82
−0.00243
0.015305


90.84
0.00041
0.019241


90.86
0.004265
0.016742


90.88
−0.00747
0.007768


90.9
−0.00321
0.013472


90.92
0.016085
0.027818


90.94
−0.02508
−0.00086


90.96
−0.00377
0.013107


90.98
−0.0208
0.005208


91
0.037425
0.035216


91.02
−0.00155
0.012794


91.04
−0.00261
0.013818


91.06
0.001771
0.013968


91.08
−0.0096
0.005273


91.1
−0.00865
0.008971


91.12
0.004783
0.017934


91.14
−0.00908
0.01095


91.16
0.014322
0.023846


91.18
−0.00733
0.008356


91.2
0.018566
0.028553


91.22
−0.00252
0.014053


91.24
−0.00188
0.016565


91.26
0.004981
0.017588


91.28
−0.00501
0.009944


91.3
−0.01001
0.008749


91.32
−0.00037
0.017141


91.34
−0.01181
0.005604


91.36
−0.0218
−0.00031


91.38
−0.0119
0.005317


91.4
0.005446
0.02133


91.42
−0.01182
0.007892


91.44
−0.016
0.005633


91.46
−0.00144
0.016674


91.48
−0.00834
0.00876


91.5
0.001963
0.011171


91.52
−0.01012
0.013185


91.54
0.016591
0.025673


91.56
−0.00033
0.018007


91.58
0.008808
0.018747


91.6
−0.00108
0.017486


91.62
−0.00371
0.018634


91.64
−0.00855
0.01203


91.66
−0.00836
0.005923


91.68
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0.005394


91.7
−0.0023
0.01442


91.72
0.002803
0.016435


91.74
−0.00626
0.013165


91.76
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0.009757


91.78
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0.007977


91.8
0.000091
0.013402


91.82
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0.015388


91.84
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0.003168


91.86
0.005365
0.014744


91.88
−0.02528
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91.9
0.006403
0.016455


91.92
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0.008905


91.94
−0.01645
0.005791


91.96
−0.00824
0.014027


91.98
0.007091
0.022271


92
−0.0056
0.009453


92.02
0.002611
0.00924


92.04
−0.00458
0.016519


92.06
−0.01167
0.005253


92.08
0.002284
0.008293


92.1
−0.03021
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92.12
0.002725
0.013863


92.14
−0.01464
0.002114


92.16
−0.02234
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92.18
−0.00393
0.007137


92.2
−0.00976
0.005943


92.22
−0.00158
0.010607


92.24
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0.007923


92.26
0.003957
0.013401


92.28
−0.00878
0.005291


92.3
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0.012994


92.32
−0.02434
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92.34
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0.006006


92.36
−0.00718
0.012062


92.38
−0.01509
0.0045


92.4
0.009706
0.017495


92.42
0.014932
0.024001


92.44
0.001383
0.011733


92.46
−0.00754
0.00814


92.48
0.03364
0.026474


92.5
−0.00431
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92.52
0.004286
0.01299


92.54
−0.00799
0.009992


92.56
0.012932
0.022878


92.58
−0.0148
0.004956


92.6
−0.01048
0.006947


92.62
−0.0194
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92.64
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0.010232


92.66
−0.01524
0.00535


92.68
0.002246
0.013341


92.7
0.0038
0.019411


92.72
−0.00469
0.014537


92.74
0.016175
0.016743


92.76
0.005706
0.019522


92.78
0.00874
0.019941


92.8
−0.0342
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92.82
0.006438
0.013341


92.84
0.013342
0.02232


92.86
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0.013501


92.88
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92.9
0.001541
0.012047


92.92
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0.006972


92.94
0.010173
0.015722


92.96
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0.00751


92.98
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0.013476


93
−0.00977
0.003812


93.02
−0.02728
0.000927


93.04
0.017043
0.02111


93.06
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0.002594


93.08
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93.1
−0.01872
0.004065


93.12
0.009653
0.021291


93.14
−0.00602
0.012844


93.16
−0.0093
0.014221


93.18
0.009397
0.02152


93.2
−0.02351
0.003003


93.22
−0.01243
0.005577


93.24
0.001363
0.013466


93.26
−0.01968
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93.28
−0.03013
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93.3
0.002845
0.011472


93.32
0.018995
0.020201


93.34
0.010549
0.022875


93.36
0.004251
0.014681


93.38
−0.01883
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93.4
0.001557
0.011899


93.42
0.020871
0.026288


93.44
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0.010946


93.46
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0.012089


93.48
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0.010638


93.5
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0.010535


93.52
0.003931
0.015278


93.54
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0.010639


93.56
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0.010695


93.58
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0.015074


93.6
0.001499
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93.62
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0.002472


93.64
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93.66
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93.68
0.000159
0.016635


93.7
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93.72
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0.011179


93.74
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93.76
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0.012206


93.78
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0.001919


93.8
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0.002208


93.82
0.000788
0.014145


93.84
0.009397
0.017396


93.86
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0.009651


93.88
0.002365
0.016807


93.9
0.011285
0.01862


93.92
0.000441
0.01608


93.94
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0.005954


93.96
−8.7E−05
0.011549


93.98
−0.01413
0.007593


94
−0.00143
0.01382


94.02
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0.013175


94.04
0.00817
0.021327


94.06
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94.08
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0.008285


94.1
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94.12
−0.00514
0.010048


94.14
−0.00397
0.006079


94.16
0.008634
0.019766


94.18
0.003734
0.0138


94.2
−0.01603
0.000736


94.22
−0.00472
0.011402


94.24
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0.013639


94.26
−0.01888
0.001362


94.28
0.003616
0.01581


94.3
−0.01929
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94.32
0.014444
0.014736


94.34
0.003362
0.021684


94.36
0.01309
0.018782


94.38
−0.01333
0.007945


94.4
0.009827
0.016593


94.42
0.000857
0.017108


94.44
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0.00536


94.46
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0.009009


94.48
−0.00751
0.010624


94.5
−0.01899
0.002567


94.52
0.019313
0.034425


94.54
0.008119
0.021532


94.56
−0.03181
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94.58
−0.02795
0.000512


94.6
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0.014726


94.62
0.012935
0.028182


94.64
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0.012211


94.66
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0.020238


94.68
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0.012787


94.7
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94.72
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0.008367


94.74
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0.015768


94.76
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94.78
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0.019365


94.8
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0.00861


94.82
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94.84
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0.01289


94.86
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94.88
−0.0076
0.005931


94.9
0.017245
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94.92
0.026285
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94.94
0.0145
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94.96
0.0222
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94.98
0.01716
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95
−0.00508
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95.02
0.002951
0.002351


95.04
−0.01787
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95.06
−0.01439
0.00858


95.08
−0.01065
0.012479


95.1
−0.00713
0.021446


95.12
−0.02316
0.013925


95.14
−0.02625
0.015742


95.16
−0.02713
0.014925


95.18
−0.03333
0.006785


95.2
−0.0137
0.017007


95.22
−0.00692
0.011962


95.24
−0.01582
0.008026


95.26
−0.0235
0.001787


95.28
−0.01053
0.00372


95.3
0.00483
−4.5E−05


95.32
0.010134
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95.34
0.020663
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95.36
0.022731
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95.38
0.011812
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95.4
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95.42
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95.44
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95.46
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0.005015


95.48
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0.005041


95.5
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0.00303


95.52
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0.007259


95.54
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0.017559


95.56
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0.011751


95.58
−0.0169
0.017071


95.6
−0.01135
0.013272


95.62
0.008339
0.011926


95.64
0.014559
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95.66
0.010931
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95.68
0.025076
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95.7
0.010887
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95.72
0.000276
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95.74
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95.76
−0.01359
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95.78
−0.00375
0.004032


95.8
0.020589
0.021199


95.82
0.001056
0.009056


95.84
−0.01457
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95.86
−0.01092
0.002145


95.88
0.041194
0.029969


95.9
−0.00246
0.012876


95.92
0.023196
0.029119


95.94
−0.00226
0.014568


95.96
−0.01742
0.002935


95.98
−0.00261
0.016495


96
0.010967
0.02195


96.02
−0.01425
0.004313


96.04
0.003763
0.017739


96.06
−0.00756
0.007731


96.08
0.004358
0.01798


96.1
−0.03493
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96.12
0.01099
0.017964


96.14
0.004917
0.016056


96.16
−0.00975
0.008076


96.18
−0.01499
0.00945


96.2
−0.00982
0.009573


96.22
−0.0023
0.013396


96.24
0.005115
0.021117


96.26
−0.01047
0.008427


96.28
−0.0097
0.002165


96.3
−0.0105
0.005453


96.32
−0.02268
0.001266


96.34
−0.01802
0.005726


96.36
0.000488
0.015398


96.38
0.014841
0.021034


96.4
−0.03167
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96.42
−0.01662
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96.44
−0.00136
0.01427


96.46
−0.00838
0.012509


96.48
−0.02336
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96.5
0.022216
0.027028


96.52
−0.00397
0.013703


96.54
−0.00997
0.005578


96.56
−0.00457
0.010438


96.58
0.018634
0.021874


96.6
0.03265
0.034483


96.62
0.002709
0.01983


96.64
−0.02497
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96.66
−0.01527
0.000748


96.68
−0.00809
0.011409


96.7
−0.01255
0.010797


96.72
−8.8E−05
0.018356


96.74
0.002456
0.007942


96.76
0.018321
0.024654


96.78
−0.00737
0.003998


96.8
0.011062
0.01954


96.82
−0.00984
0.014959


96.84
−0.00144
0.01588


96.86
0.006184
0.018104


96.88
0.006517
0.016941


96.9
−0.02209
0.006125


96.92
−0.00848
0.006556


96.94
0.009841
0.028004


96.96
0.010933
0.017222


96.98
−0.0009
0.016624


97
−0.01845
0.004593


97.02
−0.02132
−0.0041


97.04
−0.00024
0.014172


97.06
−0.00608
0.006352


97.08
−0.00465
0.011451


97.1
0.020227
0.024024


97.12
0.008369
0.0187


97.14
−0.02794
−0.00043


97.16
−0.0202
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97.18
0.022306
0.028938


97.2
−0.00398
0.009137


97.22
−0.00222
0.011986


97.24
−0.00632
0.00794


97.26
0.014781
0.024531


97.28
−0.01371
0.00717


97.3
0.000306
0.015452


97.32
0.002514
0.016285


97.34
−0.00643
0.013339


97.36
0.008754
0.015845


97.38
−0.01948
0.002572


97.4
−0.00784
0.004465


97.42
0.026494
0.030718


97.44
0.020896
0.030357


97.46
0.002699
0.015392


97.48
−0.0204
0.003685


97.5
0.004597
0.010975


97.52
−0.00133
0.013252


97.54
−0.02556
−0.00515


97.56
0.005127
0.017028


97.58
−0.02744
−0.00038


97.6
−0.01024
0.005713


97.62
−0.00321
0.012341


97.64
0.002554
0.019916


97.66
0.00091
0.013798


97.68
−0.01281
0.007732


97.7
−0.02171
0.00281


97.72
−0.00531
0.015187


97.74
0.022015
0.020397


97.76
−0.03186
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97.78
0.001821
0.018245


97.8
0.008969
0.021012


97.82
−0.00593
0.010264


97.84
0.000766
0.015041


97.86
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0.005704


97.88
−0.01707
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97.9
−0.00737
0.001703


97.92
−0.01126
0.011801


97.94
0.011739
0.021738


97.96
0.02248
0.024454


97.98
−0.00437
0.014903


98
−0.02344
−0.00077


98.02
−0.0236
0.001717


98.04
0.002901
0.013718


98.06
−0.01196
0.00793


98.08
0.004469
0.017296


98.1
−0.01177
0.0069


98.12
0.000196
0.01108


98.14
−0.02324
0.001754


98.16
−0.00746
0.013496


98.18
−0.00919
0.005154


98.2
−0.03344
−0.00703


98.22
−0.00339
0.009853


98.24
−0.02052
−0.0021


98.26
−0.03006
−0.00746


98.28
0.00164
0.012673


98.3
0.014273
0.020776


98.32
0.006998
0.016568


98.34
0.003262
0.017708


98.36
−0.00383
0.013683


98.38
0.002925
0.017607


98.4
−0.00118
0.016687


98.42
−0.00222
0.013767


98.44
−0.02168
0.006042


98.46
−0.00231
0.021138


98.48
−0.00923
0.008992


98.5
0.000614
0.011492


98.52
0.010107
0.026301


98.54
0.00421
0.016297


98.56
−0.01181
0.005763


98.58
−0.00916
0.010457


98.6
0.015388
0.022566


98.62
−0.00934
0.008565


98.64
0.001192
0.01252


98.66
0.000053
0.015886


98.68
−0.02442
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98.7
−0.03062
−0.00825


98.72
0.007347
0.022286


98.74
−0.00738
0.010671


98.76
−0.00501
0.01438


98.78
0.012455
0.022171


98.8
−0.0312
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98.82
−0.01639
0.008919


98.84
−0.01257
0.007097


98.86
−0.00595
0.008072


98.88
−0.00597
0.008454


98.9
0.007109
0.01434


98.92
0.00929
0.016896


98.94
0.007131
0.015473


98.96
0.011004
0.015958


98.98
−0.01444
0.004022


99
0.010033
0.02323


99.02
0.004684
0.019776


99.04
−0.01486
0.004631


99.06
−0.00768
0.00999


99.08
−0.02031
0.009953


99.1
−0.00162
0.010631


99.12
−0.0386
−0.00557


99.14
−0.01507
0.005062


99.16
−0.00175
0.012583


99.18
−0.02435
−0.00527


99.2
−0.00527
0.009045


99.22
0.007757
0.015674


99.24
0.006267
0.020987


99.26
−0.00152
0.007254


99.28
−0.00143
0.010325


99.3
0.000817
0.018159


99.32
−0.01391
0.004613


99.34
0.003704
0.015594


99.36
0.01366
0.020613


99.38
0.029762
0.030156


99.4
0.008411
0.020473


99.42
−0.00893
0.008739


99.44
−0.00248
0.007544


99.46
−0.01309
0.004822


99.48
0.014431
0.020727


99.5
−0.00117
0.01058


99.52
−0.03031
0.00101


99.54
−0.00732
0.010904


99.56
−0.01143
0.002656


99.58
0.006772
0.018867


99.6
0.010089
0.023518


99.62
−0.01458
0.011218


99.64
0.006115
0.014539


99.66
−0.01602
0.007622


99.68
0.010039
0.017619


99.7
−0.00936
0.012649


99.72
−0.00741
0.006961


99.74
−0.01896
0.006195


99.76
0.00114
0.013893


99.78
−0.00037
0.01289


99.8
0.005217
0.015818


99.82
−0.00179
0.015437


99.84
−0.02013
−0.00224


99.86
−0.00088
0.016458


99.88
−0.00454
0.009234


99.9
−0.02808
−0.00418


99.92
−0.01925
0.001305


99.94
0.010311
0.017051


99.96
0.007433
0.022128


99.98
−0.01056
0.01018


100
−0.01744
−0.00014


100.02
−0.00825
0.00988


100.04
−0.01019
0.005338


100.06
−0.00381
0.010007


100.08
−0.02345
−0.0068


100.1
−0.00909
0.001209


100.12
0.006211
0.017113


100.14
0.004318
0.023212


100.16
−0.00193
0.021418


100.18
−0.01934
0.005104


100.2
−0.00788
0.013122


100.22
−0.01541
0.002889


100.24
−0.01637
0.011143


100.26
−0.01762
0.011124


100.28
−0.00891
0.018841


100.3
−0.01413
0.01281


100.32
−0.01579
0.01492


100.34
−0.02201
0.014733


100.36
−0.02077
0.014601


100.38
−0.01568
0.01562


100.4
−0.03081
0.012078


100.42
−0.02337
0.016766


100.44
−0.02411
0.015681


100.46
−0.03084
0.008382


100.48
−0.02927
0.006706


100.5
−0.01335
0.004202


100.52
−0.01337
−0.01113


100.54
0.00845
−0.011


100.56
0.020217
−0.01445


100.58
0.021811
−0.01344


100.6
0.009572
−0.01855


100.62
0.00829
−0.01411


100.64
0.004338
−0.00956


100.66
0.006413
0.006565


100.68
−0.00806
−0.00156


100.7
−0.01107
−5.4E−05


100.72
−0.01101
0.005605


100.74
−0.00956
0.017976


100.76
−0.02108
0.012889


100.78
−0.01394
0.021431


100.8
−0.0345
0.00599


100.82
−0.02887
0.008155


100.84
−0.0225
0.00445


100.86
0.003469
0.006826


100.88
−0.00075
−0.0099


100.9
0.016538
−0.00915


100.92
0.013925
−0.01513


100.94
0.0208
−0.01078


100.96
0.006313
−0.0148


100.98
0.022736
0.002303


101
0.018185
0.009012


101.02
−0.00369
−0.0035


101.04
−0.00557
0.003374


101.06
0.002134
0.003779


101.08
0.013142
0.011529


101.1
−0.00095
0.005538


101.12
−0.01496
−0.00043


101.14
−0.02177
−0.00263


101.16
0.010296
0.016799


101.18
−0.02214
−0.00823


101.2
−0.00109
0.013985


101.22
−0.01383
0.004048


101.24
−0.00574
0.012326


101.26
−0.01744
0.004786


101.28
−0.00199
0.012136


101.3
−0.02616
−0.00055


101.32
−0.00112
0.014359


101.34
−0.00844
0.007451


101.36
−0.00182
0.006139


101.38
0.007273
0.01573


101.4
0.00279
0.009523


101.42
0.01701
0.025821


101.44
−0.00091
0.015598


101.46
0.0084
0.021568


101.48
0.009606
0.020732


101.5
−0.01853
0.001749


101.52
0.00385
0.0194


101.54
−0.0189
0.002082


101.56
−0.01289
0.004995


101.58
−0.0004
0.010492


101.6
0.008676
0.016839


101.62
0.007057
0.019061


101.64
−0.00287
0.010566


101.66
−0.01312
0.002488


101.68
−0.02369
−0.00073


101.7
0.005753
0.01568


101.72
−0.03254
−0.00466


101.74
0.001242
0.014457


101.76
−0.00255
0.013074


101.78
0.000222
0.017784


101.8
0.014923
0.025401


101.82
−0.00914
0.01277


101.84
−0.00271
0.007155


101.86
0.000434
0.018112


101.88
−0.01803
−0.00078


101.9
−0.01303
0.002261


101.92
−0.0082
0.01252


101.94
−0.01191
0.011698


101.96
−0.0139
0.007765


101.98
0.000233
0.013011


102
−0.02164
0.001753


102.02
−0.01144
0.010082


102.04
0.024934
0.033074


102.06
0.02058
0.028719


102.08
−0.00217
0.015068


102.1
−0.02279
−0.00178


102.12
0.01071
0.023104


102.14
−0.00659
0.014765


102.16
0.006528
0.019852


102.18
0.005214
0.021984


102.2
−0.00252
0.01579


102.22
0.011032
0.026308


102.24
−0.02418
0.005189


102.26
−0.01481
0.009586


102.28
−0.01232
0.011661


102.3
−0.00444
0.019197


102.32
−0.01985
0.011859


102.34
0.003785
0.027349


102.36
−0.00722
0.016842


102.38
−0.01821
0.008098


102.4
−0.0154
−0.0035


102.42
−0.00231
−0.00672


102.44
0.008561
−0.00995


102.46
0.023654
−0.00916


102.48
0.027756
−0.00688


102.5
−0.0056
−0.0234


102.52
0.020007
−0.0035


102.54
−0.00377
−0.00563


102.56
−0.00052
0.00088


102.58
−0.02149
−0.01682


102.6
−0.01192
0.009421


102.62
−0.00688
0.011326


102.64
−0.01577
0.004302


102.66
−0.0065
0.016879


102.68
−0.01563
0.005697


102.7
−0.00986
0.019887


102.72
−0.00648
0.014725


102.74
−0.0127
0.009003


102.76
−0.01673
−0.00292


102.78
−0.0091
−0.00829


102.8
0.010995
−0.0035


102.82
0.023401
−0.00055


102.84
0.016137
−0.00224


102.86
0.014258
−0.0055


102.88
0.020214
0.008698


102.9
0.002262
−0.00348


102.92
−0.00734
0.00147


102.94
−0.01204
0.001567


102.96
0.013766
0.024248


102.98
0.011548
0.010935


103
−0.00767
0.00947


103.02
0.002277
0.010909


103.04
−0.00268
0.01495


103.06
0.014563
0.02282


103.08
−0.00228
0.009512


103.1
−0.00848
0.005677


103.12
0.001457
0.01729


103.14
−0.02928
−0.00741


103.16
−0.00146
0.016224


103.18
0.000894
0.013234


103.2
0.010043
0.020246


103.22
0.017581
0.025632


103.24
0.005112
0.015947


103.26
−0.01533
0.006001


103.28
−0.00774
0.011085


103.3
0.002547
0.016729


103.32
−0.01757
−0.00266


103.34
0.004797
0.017696


103.36
−0.01248
0.005828


103.38
−0.02259
0.002359


103.4
−0.01627
0.00564


103.42
−0.014
0.005837


103.44
−0.01025
0.009629


103.46
0.020612
0.028264


103.48
−0.00651
0.013675


103.5
−0.01017
0.005929


103.52
0.022165
0.025516


103.54
−0.00054
0.01383


103.56
0.010574
0.01805


103.58
−0.015
0.003993


103.6
−0.00505
0.009703


103.62
−0.00791
0.007963


103.64
0.011568
0.022634


103.66
−0.00451
0.010203


103.68
−0.02726
−0.00169


103.7
0.002432
0.019483


103.72
−0.01933
0.006833


103.74
−0.01712
0.006514


103.76
−0.00327
0.008674


103.78
0.007754
0.02298


103.8
−0.00105
0.017256


103.82
−0.00204
0.015462


103.84
−0.01779
0.003513


103.86
−0.00126
0.016448


103.88
−0.0042
0.012736


103.9
0.024912
0.02706


103.92
−0.00162
0.016839


103.94
−0.0044
0.010535


103.96
−0.00904
0.012639


103.98
0.019292
0.026893


104
0.006823
0.016577


104.02
0.024846
0.027809


104.04
−0.00274
0.016858


104.06
−0.00606
0.016738


104.08
−0.01725
0.002008


104.1
−0.00271
0.00665


104.12
−0.01218
0.009649


104.14
−0.01267
0.004647


104.16
−0.01189
0.006343


104.18
0.006122
0.01759


104.2
0.001244
0.009688


104.22
−0.01046
0.006411


104.24
0.007301
0.017835


104.26
−0.00894
0.006875


104.28
−0.00219
0.014347


104.3
−0.01257
0.00906


104.32
−0.00129
0.013932


104.34
0.002277
0.014457


104.36
−0.02173
0.004884


104.38
−0.01135
0.002577


104.4
−0.00307
0.014301


104.42
0.013413
0.02538


104.44
0.017534
0.020664


104.46
−0.00498
0.012675


104.48
0.002742
0.012835


104.5
0.016579
0.025526


104.52
0.0163
0.025226


104.54
−0.01483
0.00426


104.56
−0.00117
0.014857


104.58
−0.00726
0.011542


104.6
0.019657
0.020512


104.62
0.005145
0.012631


104.64
0.010252
0.015038


104.66
−0.00437
0.010066


104.68
−0.00664
0.009872


104.7
−0.00302
0.01514


104.72
−0.00881
0.009691


104.74
0.013643
0.02061


104.76
−0.01097
0.004048


104.78
−0.01734
−0.00487


104.8
0.005059
0.020893


104.82
−0.02719
−0.00382


104.84
0.027941
0.027377


104.86
−0.02168
−0.00202


104.88
−0.00789
0.008775


104.9
−0.01106
0.007207


104.92
−0.01271
0.005004


104.94
−0.02582
−0.00081


104.96
−0.0091
0.008136


104.98
−0.01127
0.004315


105
−0.00952
0.009554


105.02
0.014727
0.026915


105.04
−0.01203
0.004252


105.06
−0.00101
0.015911


105.08
−0.01147
0.006287


105.1
0.008048
0.016688


105.12
−0.00259
0.012667


105.14
−0.01152
0.005486


105.16
−0.00556
0.014273


105.18
−0.02094
0.001476


105.2
−0.00773
0.003711


105.22
−0.00493
0.015045


105.24
0.01473
0.023606


105.26
−0.02534
−0.00441


105.28
0.009817
0.018103


105.3
0.002523
0.01538


105.32
−0.01831
0.002874


105.34
−0.00515
0.01166


105.36
−0.00583
0.01013


105.38
−0.00556
0.013808


105.4
0.022348
0.02419


105.42
0.000701
0.018064


105.44
−0.00345
0.007818


105.46
−0.01037
0.007088


105.48
−0.0088
0.0088


105.5
0.016801
0.021943


105.52
−0.00726
0.006799


105.54
−0.01662
0.000558


105.56
−0.00888
0.008363


105.58
−0.02103
0.004491


105.6
−0.00695
0.004723


105.62
−0.01978
0.002071


105.64
−0.01433
0.002527


105.66
−0.00086
0.013849


105.68
−0.01724
0.002792


105.7
−0.00682
0.009814


105.72
0.01154
0.024135


105.74
0.006792
0.01505


105.76
−0.00051
0.016171


105.78
−0.00798
0.015024


105.8
−0.01467
0.005263


105.82
−0.00021
0.013471


105.84
−0.01281
0.007098


105.86
−0.00287
0.012804


105.88
−0.01304
0.009589


105.9
−0.0194
0.001311


105.92
−0.01548
0.00271


105.94
0.003044
0.011975


105.96
−0.00311
0.008514


105.98
0.01027
0.018259


106
−0.02273
−0.00077


106.02
−0.00541
0.010651


106.04
−0.00448
0.014334


106.06
−0.00705
0.008191


106.08
−0.00778
0.008699


106.1
−0.00543
0.010619


106.12
−0.00708
0.002089


106.14
0.0171
0.024275


106.16
0.006664
0.013506


106.18
−0.01212
0.008006


106.2
0.013315
0.023662


106.22
0.001964
0.015711


106.24
0.001313
0.015264


106.26
−0.00615
0.012186


106.28
0.006127
0.01508


106.3
0.013736
0.023342


106.32
−0.02336
−0.00762


106.34
−0.01143
0.006585


106.36
−0.02982
−0.00649


106.38
−0.00669
0.01116


106.4
0.006944
0.018564


106.42
0.025858
0.032099


106.44
−0.01025
0.005792


106.46
0.015935
0.023187


106.48
−0.00641
0.008815


106.5
−0.00926
0.010544


106.52
0.00235
0.01222


106.54
0.000722
0.015544


106.56
−0.02454
0.000277


106.58
−0.01313
0.00806


106.6
−0.01159
0.007252


106.62
−0.007
0.009798


106.64
−0.01539
0.006324


106.66
−0.00161
0.010584


106.68
0.007559
0.019995


106.7
0.019713
0.019549


106.72
0.005422
0.020739


106.74
0.012828
0.020598


106.76
−0.00224
0.018031


106.78
0.000332
0.008492


106.8
0.019824
0.022045


106.82
−0.01073
0.001944


106.84
0.002943
0.016006


106.86
−0.00795
0.011769


106.88
0.019316
0.023791


106.9
−0.00512
0.008858


106.92
0.003515
0.015493


106.94
−0.00798
0.012767


106.96
−0.00589
0.011593


106.98
0.015292
0.017064


107
−0.02189
−0.00096


107.02
0.001306
0.018677


107.04
−0.02379
−9.9E−05


107.06
0.015543
0.021567


107.08
0.016741
0.0219


107.1
−0.01182
0.009646


107.12
0.007324
0.015652


107.14
−0.01597
0.002459


107.16
−0.01302
0.001835


107.18
−0.01422
−0.00119


107.2
−0.00784
0.013004


107.22
0.00469
0.01752


107.24
0.008393
0.017361


107.26
0.001263
0.006118


107.28
0.000093
0.01587


107.3
0.001317
0.013097


107.32
−0.00214
0.00954


107.34
0.004762
0.013939


107.36
−0.00895
0.006936


107.38
0.002873
0.018754


107.4
−0.0231
0.002322


107.42
−0.01749
0.003518


107.44
0.007306
0.015903


107.46
−0.00648
0.010782


107.48
0.009974
0.022881


107.5
−0.00434
0.012366


107.52
−0.01813
0.00077


107.54
−0.00476
0.011603


107.56
0.008645
0.015635


107.58
−0.01116
0.01196


107.6
−0.01174
0.004426


107.62
−0.01181
0.010725


107.64
−0.00267
0.015647


107.66
−0.00396
0.005611


107.68
0.013904
0.023095


107.7
0.015494
0.025259


107.72
−0.00875
0.011387


107.74
0.000734
0.013469


107.76
−0.00516
0.007431


107.78
0.006383
0.016171


107.8
0.001612
0.01599


107.82
−0.00656
0.004029


107.84
0.004053
0.013097


107.86
−0.00683
0.009138


107.88
−0.00353
0.00799


107.9
−0.009
0.002188


107.92
−0.00434
0.014196


107.94
0.013879
0.017398


107.96
−0.00471
0.008151


107.98
−0.0053
0.011018


108
−0.00028
0.014324


108.02
−0.0225
0.0024


108.04
0.013148
0.01979


108.06
−0.00057
0.013129


108.08
−0.01603
0.007563


108.1
0.017029
0.021085


108.12
−0.02203
−0.00374


108.14
−0.02152
0.001365


108.16
0.009679
0.014384


108.18
0.01137
0.018989


108.2
0.0147
0.022243


108.22
−0.00767
0.009788


108.24
0.007415
0.015997


108.26
−0.00933
0.014438


108.28
−0.02639
−0.00322


108.3
0.009964
0.02262


108.32
0.012484
0.023717


108.34
−0.0006
0.012025


108.36
0.016505
0.015613


108.38
−0.00459
0.006864


108.4
0.005136
0.018213


108.42
0.004779
0.015407


108.44
−0.00664
0.006897


108.46
0.010687
0.014099


108.48
−0.01282
0.008643


108.5
0.00435
0.01688


108.52
−0.0068
0.008414


108.54
−0.00787
0.005601


108.56
−7.3E−05
0.013434


108.58
0.004902
0.013033


108.6
0.005983
0.019497


108.62
0.000281
0.012543


108.64
0.015066
0.015597


108.66
0.011898
0.020802


108.68
−0.03065
−0.00958


108.7
−0.02216
−0.00055


108.72
−0.00305
0.012811


108.74
−0.01067
0.002516


108.76
−0.0094
0.009585


108.78
−0.00223
0.012391


108.8
−0.00184
0.009704


108.82
0.000667
0.013547


108.84
−0.00081
0.014426


108.86
−0.00124
0.012673


108.88
−0.01167
0.012171


108.9
−0.00651
0.005464


108.92
−0.0072
0.005285


108.94
0.000861
0.014206


108.96
−0.00153
0.011107


108.98
0.001541
0.013965


109
0.010388
0.019182


109.02
−0.00213
0.012545


109.04
−0.02775
−0.01038


109.06
−0.00837
0.003427


109.08
−0.01041
0.006098


109.1
0.011133
0.017993


109.12
−0.01195
0.00976


109.14
0.002812
0.013271


109.16
0.016881
0.026923


109.18
0.027616
0.026246


109.2
0.003956
0.016516


109.22
−0.00622
0.010415


109.24
−0.02133
−0.00122


109.26
−0.00439
0.008423


109.28
0.006537
0.022502


109.3
−0.01852
0.000284


109.32
−0.01076
0.006959


109.34
0.000146
0.014272


109.36
0.008017
0.020842


109.38
0.01654
0.022687


109.4
−0.01611
0.010173


109.42
−0.03907
−0.00938


109.44
−0.0107
0.007298


109.46
0.000642
0.015886


109.48
0.001855
0.016886


109.5
0.001051
0.009562


109.52
0.006437
0.018612


109.54
−0.01005
0.010844


109.56
0.000861
0.011649


109.58
0.002925
0.016154


109.6
−0.0064
0.012997


109.62
0.0001
0.015759


109.64
0.004502
0.016945


109.66
−0.02
−0.00016


109.68
0.043661
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109.7
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109.72
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109.74
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109.76
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109.78
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109.8
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109.82
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109.84
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109.86
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109.88
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109.9
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109.92
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109.94
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109.96
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109.98
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110
0.004511
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110.02
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110.04
0.006491
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110.06
0.004947
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110.08
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110.1
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110.12
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110.14
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110.16
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110.18
0.001689
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110.2
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110.22
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110.24
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110.26
0.004992
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110.28
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110.3
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110.32
0.006331
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110.34
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110.36
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110.38
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110.4
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110.42
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110.44
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110.46
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110.48
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110.5
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110.52
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110.54
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110.56
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110.58
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110.6
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110.62
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110.64
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110.66
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110.68
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110.7
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110.72
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110.74
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110.76
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110.78
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110.8
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110.82
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110.84
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110.86
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110.88
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110.9
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110.92
0.014183
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110.94
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110.96
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110.98
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111
0.002718
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111.02
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111.04
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111.06
0.008828
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111.08
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111.1
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111.12
0.001154
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111.14
0.000201
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111.16
0.040682
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111.18
0.003197
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111.2
0.014866
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111.22
0.010559
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111.24
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111.26
0.031436
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111.28
0.001321
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111.3
0.004311
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111.32
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111.34
0.002336
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111.36
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111.38
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111.4
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111.42
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111.44
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111.46
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111.48
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111.5
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111.52
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111.54
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111.56
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111.58
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111.6
0.000128
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111.62
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111.64
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111.66
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111.68
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111.7
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111.72
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111.74
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111.76
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111.78
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111.8
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111.82
0.002997
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111.84
0.004185
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111.86
0.016719
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111.88
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111.9
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111.92
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111.94
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111.96
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111.98
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112
0.003265
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112.02
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112.04
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112.06
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112.08
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112.1
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112.12
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112.14
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112.16
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112.18
0.006828
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112.2
0.009259
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112.22
0.0092
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112.24
0.020594
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112.26
0.002946
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112.28
0.0159
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112.3
0.01301
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112.32
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112.34
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112.36
0.021828
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112.38
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112.4
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112.42
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112.44
0.017433
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112.46
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112.48
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112.5
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112.52
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112.54
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112.56
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112.58
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112.6
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112.62
0.016701
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112.64
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112.66
0.00975
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112.68
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112.7
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112.72
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112.74
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112.76
0.001857
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112.78
0.019464
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112.8
0.004835
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112.82
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112.84
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112.86
0.001913
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112.88
0.014956
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112.9
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112.92
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112.94
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112.96
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112.98
0.000442
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113
0.015333
0.014285


113.02
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113.04
0.002976
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113.06
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0.006044


113.08
0.028104
0.034773


113.1
0.008071
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113.12
0.000704
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113.14
0.018846
0.026526


113.16
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0.009554


113.18
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0.007152


113.2
0.000825
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113.22
0.000695
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113.24
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113.26
0.023904
0.029794


113.28
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113.3
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113.32
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113.34
0.000781
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113.36
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113.38
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113.4
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113.42
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113.44
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113.46
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113.48
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113.5
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113.52
0.006851
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113.54
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113.56
0.005681
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113.58
0.012402
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113.6
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113.62
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113.64
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113.66
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113.68
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113.7
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113.72
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113.74
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113.76
0.007295
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113.78
0.009193
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113.8
0.007872
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113.82
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113.84
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113.86
0.012074
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113.88
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113.9
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113.92
−9.5E−05
0.005905


113.94
0.020134
0.024864


113.96
0.023386
0.016142


113.98
0.007707
0.005338


114
0.015248
0.009513


114.02
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0.003426


114.04
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0.009008


114.06
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0.002053


114.08
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114.1
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114.12
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114.14
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114.16
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114.18
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114.2
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114.22
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114.24
0.014161
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114.26
0.022701
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114.28
0.00234
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114.3
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114.32
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114.34
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114.36
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114.38
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114.4
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114.42
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114.44
0.000866
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114.46
0.011709
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114.48
0.000493
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114.5
0.010365
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114.52
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114.54
0.006943
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114.56
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114.58
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114.6
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114.62
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114.64
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114.66
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114.68
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114.7
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114.72
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114.74
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114.76
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114.78
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114.8
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114.82
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114.84
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114.86
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114.88
0.00142
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114.9
0.005365
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114.92
0.007525
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114.94
0.013741
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114.96
0.00303
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114.98
0.005568
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115
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115.02
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115.04
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115.06
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115.08
0.002793
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115.1
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115.12
0.029091
0.030351


115.14
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115.16
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0.004536


115.18
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0.013757


115.2
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115.22
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115.24
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115.26
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115.28
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115.3
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115.32
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115.34
0.001505
0.00687


115.36
0.029066
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115.38
0.022405
0.007828


115.4
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115.42
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115.44
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115.46
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115.48
0.01286
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115.5
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115.52
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115.54
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115.56
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115.58
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115.6
0.00733
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115.62
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115.64
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115.66
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115.68
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115.7
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115.72
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115.74
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115.76
0.009835
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115.78
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115.8
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115.82
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115.84
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115.86
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115.88
0.007301
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115.9
0.009503
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115.92
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115.94
0.018627
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115.96
0.0089
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115.98
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116
0.002824
0.010493


116.02
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0.000912


116.04
0.007664
0.017786


116.06
0.010643
0.015276


116.08
0.008188
0.018606


116.1
0.015788
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116.12
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116.14
0.000722
0.013726


116.16
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0.012667


116.18
0.013398
0.019907


116.2
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116.22
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0.003935


116.24
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116.26
0.00473
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116.28
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116.3
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116.32
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116.34
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116.36
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116.38
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116.4
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116.42
0.00003
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116.44
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116.46
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116.48
0.005112
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116.5
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116.52
0.000129
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116.54
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116.56
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116.58
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116.6
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116.62
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116.64
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116.66
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116.68
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116.7
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116.72
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116.74
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116.76
0.003101
0.016547


116.78
0.014171
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116.8
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116.82
0.007129
0.013013


116.84
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116.86
0.014072
0.019135


116.88
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0.005092


116.9
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116.92
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116.94
0.001255
0.013821


116.96
0.007116
0.016323


116.98
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117
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0.003213


117.02
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117.04
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0.011505


117.06
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0.010725


117.08
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117.1
0.015583
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117.12
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117.14
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0.006537


117.16
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117.18
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117.2
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117.22
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117.24
0.000083
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117.26
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117.28
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117.3
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117.32
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117.34
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117.36
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117.38
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117.4
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117.42
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117.44
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117.46
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117.48
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117.5
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117.52
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117.54
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117.56
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117.58
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117.6
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117.62
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117.64
0.000098
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117.66
0.012757
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117.68
0.014287
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117.7
0.013474
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117.72
0.002099
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117.74
0.002039
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117.76
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117.78
0.010354
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117.8
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117.82
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117.84
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117.86
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117.88
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117.9
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117.92
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117.94
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117.96
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117.98
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0.013697


118
−0.02792
0.007176


118.02
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0.005481


118.04
−0.03761
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118.06
−0.02366
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118.08
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118.1
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118.12
−0.00316
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118.14
0.012606
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118.16
0.002479
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118.18
0.011127
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118.2
−0.00254
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118.22
−9.9E−05
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118.24
0.00157
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118.26
0.006153
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118.28
0.022332
0.011982


118.3
−0.01499
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118.32
0.003481
0.007818


118.34
−0.02536
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118.36
−0.00987
0.005366


118.38
0.007152
0.008617


118.4
−0.02708
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118.42
0.01761
0.020169


118.44
0.008643
0.020609


118.46
0.003394
0.011489


118.48
−0.00694
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118.5
0.013065
0.019702


118.52
−0.00151
0.006542


118.54
−0.009
0.008803


118.56
0.002038
0.013202


118.58
0.011616
0.020439


118.6
−0.00241
0.013868


118.62
0.013087
0.020164


118.64
0.005878
0.014292


118.66
−0.00471
0.006552


118.68
0.000833
0.014114


118.7
−0.00358
0.00867


118.72
−0.00164
0.005902


118.74
0.009686
0.011759


118.76
0.002378
0.007294


118.78
−0.00507
0.00754


118.8
−0.00858
0.004964


118.82
−0.01092
0.003122


118.84
0.005075
0.013621


118.86
−0.0195
−0.00649


118.88
0.023209
0.02222


118.9
0.015314
0.023298


118.92
−0.00688
0.004848


118.94
−0.01062
0.006513


118.96
0.006225
0.014126


118.98
−0.01323
0.006357


119
−0.01464
0.005723


119.02
−0.01396
0.004828


119.04
0.009927
0.020719


119.06
−0.00086
0.010196


119.08
−0.01956
0.003068


119.1
−0.01526
0.006848


119.12
−0.00488
0.01893


119.14
0.000693
0.020902


119.16
0.003719
0.014355


119.18
−0.02016
−0.00035


119.2
−0.01557
0.008493


119.22
−0.01252
0.011614


119.24
−0.03059
0.001387


119.26
−0.01591
0.009152


119.28
−0.00636
0.015349


119.3
−0.01812
0.011047


119.32
−0.02775
0.009686


119.34
−0.03205
0.004938


119.36
−0.02416
0.012604


119.38
−0.03136
0.008209


119.4
−0.02603
0.01094


119.42
−0.02574
0.011938


119.44
−0.02573
0.010883


119.46
−0.02278
0.00714


119.48
−0.02336
−0.00179


119.5
−0.00678
−0.00024


119.52
−0.00097
−0.00812


119.54
0.015825
−0.00462


119.56
0.018466
−0.00822


119.58
0.018802
−0.00995


119.6
0.014315
−0.00994


119.62
0.00665
−0.00816


119.64
−0.00584
−0.01002


119.66
0.008738
0.001698


119.68
0.000506
−0.00251


119.7
−0.0047
0.001826


119.72
−0.00332
0.004063


119.74
−0.00352
0.002677


119.76
−0.00102
0.011956


119.78
−0.00734
0.011878


119.8
−0.00711
0.008634


119.82
−0.00715
0.012202


119.84
−0.01411
0.007991


119.86
−0.02427
0.007381


119.88
−0.01962
0.013027


119.9
−0.02421
0.011376


119.92
−0.02752
0.01389


119.94
−0.02228
0.015415


119.96
−0.01885
0.008414


119.98
−0.00649
0.009735


120
0.001124
0.008883









The lithium cobalt oxides of the present invention are prepared by first mixing together one or more lithium source compounds, one or more cobalt source compounds, and one or more source compounds that include the dopants A in the desired stoichiometric amounts to produce lithium cobalt oxides having the formula LiwCo1−xAxO2+y wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02. The source compounds (raw materials) can be the pure elements but are typically compounds containing the elements such as oxides or salts thereof. For example, the source compounds are typically hydrated or anhydrous oxides, hydroxides, carbonates, nitrates, sulfates, chlorides or fluorides, but can be any other suitable source compound that will not cause elemental defects in the resulting lithium cobalt oxide compound. The elements for the lithium cobalt oxide compound can each be supplied from separate source compounds or at least two of the elements can be supplied from the same source compounds. In addition, the source compounds can be mixed in any desirable order.


Although the lithium cobalt oxide compounds are preferably prepared by solid state reactions (i.e. dry mixing), it can be advantageous to react the raw materials using wet chemistry such as sol-gel type reactions or spray drying techniques, alone or in combination with solid state reactions. For example, the cobalt and dopant source compounds can be prepared as a solution in a solvent such as water and the cobalt and dopants precipitated out of solution as an intimately mixed compound such as a hydroxide. The mixed compound can then be blended with a lithium source compound. The reaction mixture can also be prepared by suspending source compounds in a solution of other source compounds and spray drying the resulting slurry to obtain an intimate mixture. Typically, the selection of reaction methods will vary depending on the raw materials used and the desired end product. Preferably, in accordance with the present invention, the lithium source compound is selected from the group consisting of Li2CO3 and LiOH and the cobalt source compound is selected from the group consisting of Co3O4 and Co(OH)2.


The mixture of source compounds once prepared can be reacted to form the lithium metal oxide. The source compounds are reacted by heating (i.e. firing) the source compounds in a first heating step at a temperature below about 850° C., preferably from about 500° C. to about 850° C., to produce the LiwCo1−xAxO2+y compound. The source compounds are heated for a period of time sufficient to react the source compounds to produce a LiwCo1−xAxO2+y compound that is substantially free of lithium and cobalt phases. Preferably, the source compounds are heated for a period of time of from about 30 minutes to about 3 hours to produce the LiwCo1−xAxO2+y compound. The source compounds can also be heated in the first heating step at more than one temperature within the above temperature range and time period. For example, the source compounds can be heated for 1 hour at 600° C. and for 1 hour at 700° C. to produce the lithium cobalt oxides. Typically, the temperature and time period used in the first heating step is dependent on the raw material used and the desired grain size for the resulting lithium cobalt oxide compound. In particular, larger grain sizes (e.g. 10 microns) can require longer heating times.


Once the LiwCo1−xAxO2+y compounds are produced, these compounds are heated in a second heating step at a temperature from about 900° C. and 1000° C., preferably from about 950° C. to about 980° C., to form and enhance the hexagonal layered crystal structure of these compounds. The LiwCo1−xAxO2+y compound is preferably heated in the second heating step for a period of time of from about 30 minutes to about 7 hours. The LiwCo1−xAxO2+y compound can also be heated in the second heating step at more than one temperature within the above range and time period. Typically, the temperature and time period used for the second heating step is dependent on the grain size of the lithium cobalt oxide compound.


Any suitable apparatus can be used for heating or firing the mixture, such as a rotary calciner, a stationary furnace or a tunnel furnace, that uniformly heats the source compounds (first heating step) or the lithium cobalt oxide (second heating step) to produce the lithium cobalt oxides. Preferably, a rotary calciner is used in accordance with the invention. In addition, any suitable atmosphere such as air and other oxygen-containing atmospheres can be used in accordance with the invention as long as the atmosphere provides the desired oxygen content to form the lithium cobalt oxides.


Once the lithium cobalt oxide is at its final preparation temperature, the lithium cobalt oxide is preferably cooled at a rate of from about 8° C./min to about 140° C./min, more preferably from about 110° C./min to 100° C./min. Cooling at a rate of greater than 140° C./min undesirably produces a structure with high crystalline stress and strain that does not have the strength of lithium cobalt oxides cooled at a rate of between 8° C./min and 140° C./min. Moreover, cooling at a rate of less than 8° C./min undesirably results in the formation of localized cubic spinel-like structural phases on the surface of the crystal or within the crystal and thus decreased electrochemical performance. With the lithium cobalt oxides of the invention, the lack of localized hetero-structural phases, e.g., cubic spinel-like phases, within the crystal and on the crystal surface does not induce further phase transformation that impedes the diffusion of the Li+ ions during the charge and discharge cycles. Thus, the hexagonal layered compounds of the invention have better and more consistent electrochemical performance than prior art compounds that are cooled at slower rates.


The lithium cobalt oxide is preferably uniformly cooled (i.e. quenched) in accordance with the invention. In particular, the lithium cobalt oxide material is preferably cooled at approximately the same rate. For example, the variation between the mean cooling rate and the cooling rate for any specific portion of the material should be less than about 10 percent. In a preferred embodiment of the invention, uniform cooling can be accomplished using a rotary calciner, or a stationary furnace or tunnel furnace with smaller bed depths. The uniformly cooled material prepared according to the invention has greater homogeneity and less variance in its material properties than material that is not uniformly cooled.


The present invention further includes rechargeable lithium and lithium ion secondary batteries that include a positive electrode comprising the lithium cobalt oxides of the invention. Typically, the lithium cobalt oxide compound of the invention is combined with a carbonaceous material and a binder polymer to form a cathode. The negative electrode of the lithium battery can be lithium metal or alloys, or any material capable of reversibly lithiating and delithiating at an electrochemical potential relative to lithium metal between about 0.0 V and 0.7 V. Examples of negative electrode materials include carbonaceous materials containing H, B, Si and Sn; tin oxides; tin-silicon oxides; and composite tin alloys. The negative electrode is separated from the positive electrode material in the cell using an electronic insulating separator. The electrochemical cell further includes an electrolyte. The electrolyte can be non-aqueous liquid, gel or solid and preferably comprises a lithium salt, e.g., LiPF6. Electrochemical cells using the lithium cobalt oxide compounds of the invention as positive electrode material can be combined for use in portable electronics such as cellular phones, camcorders, and laptop computers, and in large power applications such as for electric vehicles and hybrid electric vehicles.


The lithium cobalt oxide compounds of the invention allow lithium ions to readily diffuse during both the charge and discharge cycles of the battery. In particular, in the charge cycle for these lithium cobalt oxides wherein z Li per formula unit are electrochemically removed per formula unit, the lithium cobalt oxide takes the formula Liw-zCo1−xAxO2+y, wherein 0≦z≦w.


The present invention further includes a method of analyzing a compound to determine if the compound is suitable for use as the active positive electrode material in a lithium or lithium-ion secondary battery. The method of the invention comprises determining a principal component space defined by the relationship axi+byi≦c, wherein xi={right arrow over (S)}i•{right arrow over (P)}c1; yi={right arrow over (S)}i•{right arrow over (P)}c2; the vector {right arrow over (S)}i is the x-ray spectrum for the compound; the vectors {right arrow over (P)}c1 and {right arrow over (P)}c2 are determined by measuring the x-ray powder diffraction values {right arrow over (S)}i for a predetermined range of 2θ values using a predetermined step size by sampling a plurality of samples of compounds having the same general formula as the compound and using the regression of {right arrow over (S)}i of the sample set against predetermined battery performance data for the samples by incorporating the samples as the positive electrode active material in a lithium or lithium-ion secondary battery. The xi and yi values for the compounds in the sample set that have the predetermined battery performance data are then used to determine a, b and c. The compound is analyzed by measuring the x-ray diffraction spectra for the compound to obtain x and y values and determining whether the x and y values meet the relationship axi+byi≦c. If the x and y values meet this relationship, the compound will possess the battery performance and x-ray diffraction spectra suitable for use as the active positive electrode material (as defined by the predetermined battery performance values).


In accordance with the method of analysis described in accordance with the invention, it is important that the compounds in the sample set have the same general formula as the compound being tested. In addition, it is important that the compounds be tested using the same conditions to provide consistent and reliable results. The positive electrode active materials tested using the method of the invention can be any of those known in the art and are preferably lithiated. Preferably, the compound is a compound selected from the group consisting of doped and undoped lithium nickel oxides, lithium cobalt oxides and lithium manganese oxides, and more preferably it is lithium cobalt oxide as discussed above. Different battery performance properties (e.g. fade, specific capacity, and the like), and different thresholds for these properties can be used to determine the principal component space. Preferably, the samples that are used to determine the principal component space are selected based on meeting a threshold predetermined capacity fade after a predetermined number of cycles under predetermined cycling conditions. For example, as discussed above, the predetermined range of 2θ values can be between 15° and 120° using CuKα rays, the predetermined step size can be 0.02°, and the predetermined capacity fade after 50 cycles of a lithium coin cell that includes a lithium negative electrode and the lithium cobalt oxide as the positive electrode material and that is cycled between 3.0 and 4.3V at a constant current of C/3 during both charge and discharge cycles can be less than or equal to 15%. More preferably, the principal component space is defined by the relationship xi+0.77 yi≦−6. Although different methods can be used to determine the regression of {right arrow over (S)}i of the sample set, the regression is preferably determined using a partial least squares regression method as discussed above.


The present invention will now be further demonstrated by the following non-limiting examples.


EXAMPLES

Sample Preparation:


Stoichiometric amounts of Li2CO3 and Co3O4 with about 2 molar percent in lithium excess were thoroughly mixed and then fired in air as follows:


Sample S1 was heated at a rate of about 18° C./min from room temperature to 750° C., held at 750° C. for 1 hour, then heated to 950° C. in about 10 minutes, and held at 950° C. for 4 hours, followed by a rapid cooling to room temperature in about 10 minutes.


Sample S2 was heated at a rate of about 18° C./min from room temperature to 800° C., held at 800° C. for 1 hour, then heated to 975° C. in about 10 minutes, and held at 975° C. for 4 hours, followed by a rapid cooling to room temperature in about 10 minutes.


Sample S3 was heated at a rate of about 5° C./min from room temperature to 800° C., held at 800° C. for 3 hour, then heated to 975° C. in about 1 hour, and held at 975° C. for 9 hours, followed by a cooling to room temperature at a rate of about 5° C./min.


Sample S4 was heated at a rate of about 25° C./min from room temperature to 800° C., held at 800° C. for 30 min, then heated to 975° C. in about 10 min, and held at 975° C. for 2 hours, followed by a rapid cooling to room temperature in about 30 minutes.


Comparative sample CS1 was heated at a rate of 3.75° C./min from room temperature to 950° C., held at 950° C. for 5 hours, followed by a cooling to room temperature at a rate of 3.75° C./min.


Coin Cell Testing:


NRC 2325 coin cell hardware and Celgard 3501 separators were used. The electrolyte was 1M LiPF6 in a 50:50 mixture of ethylene carbonate and dimethyl carbonate solvents. The positive electrode consisted of about 85% active material (by weight), 10% Super S™ carbon black and 5% polyvinylidene fluoride (PVDF) as a binder polymer, coated on aluminum foil. The negative electrode was metallic lithium foil. The cell was cycled between 3.0 and 4.3V at a constant current of C/3 (3 hours for complete charge or discharge) during both the charge and discharge cycles.


X-Ray Diffraction:


A Rigaku RINT-2000 unit that included a graphite monochrometer and a rotating copper anode x-ray source was used. The current and the voltage of the x-ray source were 150 mA and 50 kV, respectively, during operation. The anti-scattering slits and the anti-divergence slits were both set at 0.5°. The x-ray diffraction scan was carried out between 15° and 120° 2θ at a step size of 0.02° and the counting time per step was 0.6 seconds.


Samples S1, S2, S3 and S4, and Comparative Sample CS1, were tested in the Li coin cells described above, and the capacity fade after 50 cycles is provided in Table 2. The x-ray diffraction spectra were also obtained as described above. Their x and y values were calculated as described above with respect to the preferred embodiment of the invention and are also provided in Table 2.


In addition to the above samples, commercial samples C1, C2, C3 and C4 were also tested in the Li coin cells described above and their x-ray diffraction spectra were obtained the same way as samples S1, S2, S3, S4 and CS1. The capacity fade values after 50 cycles, as well as the x and y values are also provided for these commercial samples in Table 2.














TABLE 2










Capacity fade after



samples
x
y
50 cycles





















S1
−3.22
−11.05
 4%



S2
−18.27
10.74
 7%



S3
14.55
−27.76
15%



S4
−1.14
−14.71
 4%



CS1
21.53
−18.42
41%



C1
14.46
−21.94
20%



C2
8.86
−16.41
15%



C3
11.91
−17.90
24%



C4
28.51
−31.23
32%











FIG. 1 illustrates the positions of samples S1, S2, S3, and S4; comparative sample CS 1; and commercial samples C 1, C2, C3 and C4, in a principal component space as defined by the axes {right arrow over (P)}c1 and {right arrow over (P)}c2. The dotted line in FIG. 1 represents the equation x+0.77y=−6 in accordance with the preferred embodiment of the invention described above. As illustrated in FIG. 1, the samples prepared in accordance with the invention are on the left of the dotted line and the comparative and commercial samples are on the right of the dotted line.



FIG. 2 illustrates the capacity fade after 50 cycles versus x+0.77y. The dotted line in FIG. 2 defines the principal component space of the samples of the invention having the desired x-ray powder diffraction values and a fade of less than or equal to 15% in accordance with the preferred embodiment of the invention discussed above. In particular, the samples according to the invention S1, S2, S3 and S4 fall within in the principal component space (the box in the lower left portion of the graph) while the comparative sample and commercial examples do not. This demonstrates that the samples according to the invention have the capacity fade and the x-ray diffraction spectra that meet the equation xi+0.77 yi≦−6.


As shown above, the lithium cobalt oxides of the invention have good cycleability properties including good initial specific capacities and capacity fades and thus are desirable for use in rechargeable lithium and lithium-ion batteries. In addition, the lithium cobalt oxides of the present invention can be produced quickly in less than 10 hours and thus can be produced at a rate desired in the art.


It is understood that upon reading the above description of the present invention and studying the accompanying drawings, one skilled in the art could make changes and variations therefrom. These changes and variations are included in the spirit and scope of the following appended claims.

Claims
  • 1. A method of preparing a lithium cobalt oxide LiwCo1−xAxO2+y having a hexagonal layered crystal structure wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants, comprising the steps of: heating a lithium source compound, a cobalt source compound, and optionally one or more source compounds containing dopants A in a rotary calciner at a temperature below about 850° C. to produce LiwCo1−xAxO2+y ; heating the LiwCo1−xAxO2+y compound in a rotary calciner at a temperature from about 900° C. to 1000° C. to refine the hexagonal layered crystal structure; and cooling the LiwCo1−xAxO2+y compound to room temperature at a rate from 31.7° C./min to 140° C./min.
  • 2. The method according to claim 1, wherein said first heating step comprises heating the source compounds at a temperature of from about 500° C. to about 850° C.
  • 3. The method according to claim 1, wherein said second heating step comprises heating the LiwCo1−xAxO2+y compound at a temperature from about 950° C. to about 980° C.
  • 4. The method according to claim 1, wherein said first heating step comprises heating the source compounds at more than one firing temperature from about 500° C. to about 850° C.
  • 5. The method according to claim 1, wherein said second heating step comprises heating the LiwCo1−xAxO2+y at more than one firing temperature from about 900° C. to about 1000° C.
  • 6. The method according to claim 1, wherein said first heating step comprises heating the source compounds for a period of time of from about 30 minutes to about 3 hours.
  • 7. The method according to claim 1, wherein said second heating step comprises heating the LiwCo1−xAxO2+y compound for a period of time of from about 30 minutes to about 7 hours.
  • 8. The method according to claim 1, wherein 0.98≦w≦1.02.
  • 9. The method according to claim 1, wherein 0≦x≦0.02.
  • 10. The method according to claim 1, wherein the lithium source compound is selected from the group consisting of Li2CO3 and LiOH and a cobalt source compound selected from the group consisting of Co3O4 and Co(OH)2.
  • 11. The method according to claim 1, wherein said method further comprises the step of cooling the LiwCo1−xAxO2+y compound at a rate from 31.7° C./min to 100° C./min after said heating steps.
  • 12. The method according to claim 1, wherein the dopants A are one or more elements other than Co selected from the group consisting of Ni, Mn, Ti, Zr, V, Mo, Mg, Ca, Sr, Ba, Al, Ga, Si, Ge, Sn, and combinations thereof.
  • 13. A method of preparing a lithium cobalt oxide LiwCo1−xAxO2+y having a hexagonal layered crystal structure wherein 0.96≦w≦1.05, 0≦x≦0.05, −0.02≦y≦0.02 and A is one or more dopants other than Co selected from the group consisting of Ni, Mn, Ti, Zr, V, Mo, Mg, Ca, Sr, Ba, Al, Ga, Si, Ge, Sn, and combinations thereof, comprising the steps of: heating a lithium source compound, a cobalt source compound, and optionally one or more source compounds containing dopants A in a rotary calciner at a temperature from about 500° C. to about 850° C. for a period of time of from about 30 minutes to about 3 hours to produce LiwCo1−xAxO2+y; heating the LiwCo1−xAxO2+y compound in a rotary calciner at a temperature from about 900° C. to 1000° C. for a period of time of from about 30 minutes to about 7 hours to refine the hexagonal layered crystal structure; and cooling the LiwCo1−xAxO2+y compound to room temperature at a rate from 31.7° C./min to 140° C./min after said heating steps.
CROSS REFERENCE TO RELATED APPLICATIONS

This application is a divisional of U.S. patent application Ser. No. 09/731,949, filed Dec. 7, 2000, now U.S. Pat. No. 6,579,475, which claims priority to U.S. Provisional Patent Application No. 60/170,221, filed Dec. 10, 1999, the disclosures of which are incorporated by reference herein in their entireties.

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Related Publications (1)
Number Date Country
20030205700 A1 Nov 2003 US
Provisional Applications (1)
Number Date Country
60170221 Dec 1999 US
Divisions (1)
Number Date Country
Parent 09731949 Dec 2000 US
Child 10424056 US