First and second stage turbine airfoil shapes

Information

  • Patent Application
  • 20060216144
  • Publication Number
    20060216144
  • Date Filed
    March 28, 2005
    19 years ago
  • Date Published
    September 28, 2006
    18 years ago
Abstract
The first stage nozzles and buckets have nominal airfoil profiles substantially in accordance with Cartesian coordinate values of X, Y and R set forth in Tables I and II, respectively, and second stage nozzles and buckets have nominal airfoil profiles substantially in accordance with Cartesian coordinate values set forth in Tables III and IV, respectively. The X, Y and R values are in millimeters. R represents distances along a radius from an axis of rotation of the turbine. For each airfoil, X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius at each distance R. The profile sections at the R distances for each airfoil are joined smoothly with one another to form the airfoil shape. The airfoil shapes given by the X, Y and R distances lie within envelopes of ±4.064 millimeters in a direction normal to any airfoil surface location therealong.
Description
BACKGROUND OF THE INVENTION

The present invention relates to airfoil shapes for a gas turbine and particularly relates to nozzle and bucket airfoil shapes for the first and second stages of the gas turbine.


There are many considerations in the design and construction of nozzle and bucket airfoils for turbines, including optimized aerodynamic efficiency, aerodynamic and mechanical blade loading and the interaction between various stages of a gas turbine. For example, and with respect to turbine nozzles, the airfoil shape of the nozzles provides guided turning of the hot gases for interactions along the hot gas path among the various stages of the turbine with substantial effect on the overall efficiency of the turbine. Accordingly, there is a need for airfoil shapes for each of the first and second stage nozzles and buckets for optimizing the efficiency of the gas turbine.


BRIEF DESCRIPTION OF THE INVENTION

In a preferred embodiment of the invention, there is provided a turbine nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.


In a further preferred embodiment of the present, there is provided invention a turbine bucket including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table II wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.


In another embodiment of the present invention, there is provided a turbine nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections in planes normal to the radius and at the R distances being joined smoothly with one another to form the airfoil shape.


In another preferred embodiment of the present invention, there is provided a turbine bucket including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.


In a still further preferred embodiment of the present invention, there is provided a first stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about the axis downstream of the nozzles, each the nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape, each the bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters Table II wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table II being joined smoothly with one another to form the bucket airfoil shape.


In another embodiment of the present invention, there is provided a second stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about the axis downstream of the nozzles, each the nozzle each the nozzle including an airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from the axis of rotation of the turbine and X and y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape, each the bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table IV being joined smoothly with one another to form the bucket airfoil shape.




BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 is a generalized schematic illustration of the hot gas path of a turbine having first and second stage nozzle and bucket airfoil shapes in accordance with a preferred aspect of the present invention;



FIGS. 2 and 3 constitute plots of the first stage nozzle and bucket airfoil shapes, respectively, at the near root, near pitch and near tip sections; and



FIGS. 4 and 5 constitute plots of the second stage nozzle and bucket airfoil shapes at the near root, near pitch and near tip sections.




DETAILED DESCRIPTION OF THE INVENTION

Referring now to FIG. 1, there is illustrated a portion of a turbine generally designated 10 and particularly the first and second stages 11 and 13, respectively of the turbine 10. Turbine 10 includes a rotor 12 and an outer casing 14. The first stage 11 of the gas turbine 10 includes a first stage nozzle having an array of circumferentially spaced nozzle airfoils 16 secured to casing 14 and an array of circumferentially spaced buckets 18 mounted on the rotor 12. The second stage 13 of the turbine includes an array of circumferentially spaced nozzle airfoils 20 secured to casing 14 and an array of circumferentially spaced buckets 22 mounted on the rotor 12. It will be appreciated that the turbine may include additional stages. Also, each of the nozzle and bucket airfoils have respective unique airfoil shapes for optimizing aerodynamic efficiency and aerodynamic and mechanical blade loading in the hot gas stream, generally indicated by the arrow 24, flowing in the annular hot gas flowpath.


A Cartesian coordinate system of X, Y and R values given in millimeters in Tables I-IV define the profile of the airfoils 16, 18, 20 and 22, respectively. The coordinate values for the X, Y and R coordinates are set forth in millimeters in these tables although other units of dimensions may be used. The Cartesian coordinate system has orthogonally related X, Y and R axes. The R axis is a linear distance in millimeters from an axis of rotation of the turbine and along a radius to a plane normal thereto containing the X and Y values which define airfoil profile sections at each distance R from the axis of rotation. The X axis extends in a direction parallel to the turbine rotor centerline, i.e. the axis of rotation, and the Y axis extends in a tangential direction


By defining X and Y coordinate values in planes perpendicular to and at selected distances in an R direction, the profile of each airfoil can be ascertained. By connecting the X and Y values in each plane with smooth continuing arcs, each profile section at each distance R given in the Tables is fixed. The surface profiles at the various surface locations between the profile section planes at distances R are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil shape.


The values set forth in Tables I-IV represent the airfoil profile sections at ambient non-operating or non-hot conditions. The values provided in Tables I-IV are generated and shown to three decimal places for determining the profiles of the airfoils. There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of each airfoil. Accordingly, the values for the profiles given in Tables I-IV are for nominal airfoils. It will therefore be appreciated that ± typical manufacturing tolerances, i.e., ± values, including any coating thicknesses, are additive to or subtractive from the X, Y values given in the tables below. Accordingly, a distance of ±4.064 mm in a direction normal to any surface location along each airfoil surface defines an airfoil profile envelope for the particular airfoil shape.


The coordinate values given in Table I below provide the preferred nominal profile shape excluding fillet regions for the first stage nozzle airfoil 16.

TABLE IStage 1 Nozzle AirfoilXYRXYR26.06645.234494.350−25.071−12.684494.35026.21833.453494.350−21.845−20.450494.35028.21750.428494.350−21.643−5.060494.35018.69331.651494.350−16.402−24.581494.35029.15348.638494.350−24.927−10.973494.35023.04239.061494.350−22.905−19.098494.35027.65640.176494.350−20.385−3.888494.35026.75146.810494.350−17.903−23.745494.35025.84331.775494.350−24.487−9.314494.35028.53550.650494.350−23.795−17.629494.35019.61333.103494.350−19.054−2.801494.35028.900494.350−19.321−22.775494.35023.83640.585494.350−23.753−7.762494.35027.30838.493494.350−24.480−16.054494.35027.40248.401494.350−17.677−1.773494.35025.46330.099494.350−20.642−21.677494.35028.92050.629494.350−6.404−26.515494.35020.50834.570494.350−14.832−25.280494.35028.62045.242494.3500.163−24.622494.35024.60642.122494.350−8.121−26.587494.35026.95136.812494.350−14.8440.174494.35029.22650.394494.350−1.404−25.327494.35021.37836.053494.350−9.837−26.494494.35028.31543.550494.350−13.4071.117494.35025.35043.671494.350−3.031−25.880494.35026.58735.132494.350−11.536−26.242494.35017.74730.215494.350−11.9682.058494.35029.33850.024494.350−4.702−26.278494.35022.22237.550494.350−13.206−25.835494.35027.99241.862494.3503.16613.359494.350−3.4867.921494.3509.26819.406494.350−9.1003.954494.3504.43314.520494.350−2.1188.962494.35010.41720.685494.350−7.6784.919494.3505.67715.706494.350−0.76810.025494.35011.54021.986494.350−6.2675.901494.3506.89816.916494.3500.56411.112494.35012.63823.308494.350−4.8706.901494.3501.87612.223494.350−10.5323.002494.3508.09518.149494.350−22.785−6.343494.35013.71124.651494.350−24.918−14.394494.35020.41810.101494.350−16.270−0.786494.35024.29025.078494.35022.22016.736494.35016.52729.543500.23014.75826.014494.35024.37328.905500.23019.9408.450494.35020.99836.953500.23023.88823.406494.35027.58444.153500.23021.78415.074494.35024.82444.717500.23015.78027.396494.35025.87135.667500.23019.4496.803494.35017.47330.992500.23023.48121.736494.35023.98727.217500.23021.33913.413494.35028.49451.317500.23016.77628.797494.35021.81438.480500.23025.07728.424494.35027.26642.451500.23018.9425.161494.35025.51046.307500.23023.06820.068494.35025.50433.975500.23020.88411.756494.35018.39432.459500.23024.68626.750494.35028.40049.283500.23018.4183.523494.35028.61050.942500.23022.64818.401494.35022.60440.021500.23011.797−12.309494.35026.93340.752500.2306.876−19.334494.35026.16547.910500.23010.930−13.794494.35025.13232.284500.2305.690−20.578494.35027.48051.333500.23010.010−15.245494.35019.28833.942500.2304.426−21.743494.35028.15747.569500.2309.031−16.658494.350−7.6795.069500.2303.082−22.814494.350−0.79310.314500.23012.617−10.799494.350−13.3981.163500.2307.988−18.024494.350−6.2716.078500.2301.660−23.779494.3500.53211.429500.23017.8761.892494.350−11.9612.129500.23014.826−6.140494.350−4.8787.106500.23017.3150.268494.350−10.5263.098500.23014.128−7.711494.350−3.4998.153500.23016.731−1.349494.350−9.0984.077500.23013.393−9.265494.350−2.1379.222500.23016.125−2.958494.350−14.8340.195500.23015.490−4.555494.350−16.360−24.862500.23027.79551.563500.230−24.926−11.112500.23028.18351.550500.230−22.878−19.293500.23015.55428.110500.230−20.373−3.956500.23023.37041.574500.230−17.862−24.002500.23026.58839.055500.230−24.483−9.440500.23026.78749.526500.230−23.776−17.813500.23024.75530.594500.230−25.071−12.835500.23020.15635.440500.230−19.042−2.848500.23027.88345.859500.230−19.282−23.012500.23024.10943.140500.230−23.747−7.875500.23026.23337.361500.230−24.470−16.229500.230−17.666−1.798500.23013.188−9.256500.230−20.605−21.897500.2309.025−16.835500.230−22.775−6.444500.2303.206−23.196500.230−24.916−14.557500.23012.453−10.823500.230−16.260−0.788500.2308.018−18.243500.230−21.812−20.656500.2301.791−24.193500.230−21.631−5.145500.23011.674−12.370500.230−1.280−25.782500.2306.938−19.597500.230−9.776−26.892500.23010.847−13.891500.230−2.918−26.342500.23016.8920.446500.230−11.484−26.610500.23013.884−7.670500.230−4.603−26.736500.23016.341−1.196500.230−13.159−26.172500.23015.769−2.831500.230−6.320−26.961500.23015.171−4.455500.230−14.788−25.588500.23014.544−6.069500.2300.293−25.061500.23027.74852.275506.110−8.050−27.012500.23028.06252.044506.11010.28921.241500.23027.96449.842506.1105.60616.141500.23027.04452.049506.11011.39522.573500.23028.17651.669506.1106.81517.381500.23026.42350.363506.11012.47523.927500.23027.35752.285506.1101.83512.569500.23016.47730.050506.1107.99918.644500.23013.53025.730506.11013.52825.302500.23014.54027.151506.1103.11613.735500.23015.52328.591506.1109.15719.931500.23024.03729.299506.1104.37314.925500.23020.83537.596506.11023.20223.844500.23027.17044.672506.11021.15315.432500.23024.53245.488506.11018.9147.069500.23025.50136.117506.11022.80322.159500.23017.40331.527506.11020.72413.755500.23023.66027.597506.11018.4335.406500.23021.62639.150506.11022.39920.475500.23026.86242.957506.11020.28612.080500.23025.19347.101506.11017.9363.747500.23025.14334.411506.11021.99018.793500.23018.30233.021506.11019.84010.407500.23023.27725.896506.11023.59625.530500.23022.39140.716506.11017.4232.094500.23026.53841.243506.1102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566517.8700.69211.965517.87026.49044.025517.870−11.9352.309517.87024.89448.369517.870−4.7857.498517.87027.59651.005517.8702.00813.144517.87027.40153.554517.870−10.4913.329517.87014.59627.888517.870−3.3888.581517.87010.44722.169517.8703.29814.351517.87015.55629.372517.870−9.0514.352517.87011.53223.564517.870−25.071−13.286517.87016.48530.875517.870−16.244−25.636517.87012.58524.983517.870−24.911−11.529517.87017.38532.396517.870−22.839−19.879517.87013.60626.425517.870−17.763−24.734517.87018.25533.933517.870−24.439−9.828517.8709.33020.800517.870−23.751−18.367517.87024.44533.622517.870−19.199−23.704517.87019.09735.487517.870−23.681−8.234517.870−24.458−16.749517.87027.87153.803523.750−12.999−27.022517.87023.67245.558523.750−20.537−22.552517.87026.93746.156523.750−24.912−15.043517.87027.97053.434523.750−14.652−26.401517.87024.35047.203523.750−21.759−21.276517.87026.83153.804523.750−7.794−27.924517.87026.63344.404523.750−0.922−26.530517.87025.00448.857523.750−9.556−27.796517.87027.73651.433523.750−2.573−27.158517.87027.15054.044523.750−11.296−27.491517.87022.25242.296523.7503.525−23.680517.87026.31542.653523.750−4.282−27.603517.87025.63450.520523.7502.135−24.770517.87027.49249.671523.750−6.029−27.861517.87027.55454.032523.7500.651−25.728517.87022.97343.922523.7504.56115.586517.87026.23752.194523.7505.79716.849517.87011.59923.845523.75016.077−0.698517.87016.52531.246523.7507.00418.140517.8707.09318.342523.75015.534−2.380517.87012.64625.283523.7508.18219.456517.87017.42232.783523.75014.967−4.053517.8708.26719.678523.75014.373−5.717517.87013.66126.744523.75018.9699.500517.87018.29134.335523.75016.6000.990517.8709.41021.041523.75020.65516.364517.87014.64628.226523.75018.5237.790517.87010.52122.430523.75020.24614.645517.87015.60029.727523.75018.0656.084517.87019.95037.482523.75019.83012.928517.87022.41623.479523.75017.5924.381517.87025.65039.158523.75019.40411.213517.87023.89730.439523.75017.1042.683517.87020.74139.075523.75021.05718.085517.87022.03421.741523.75010.868−13.821517.87025.30837.413523.7506.024−21.185517.87023.53328.697523.75013.747−7.370517.87021.50840.680523.75010.031−15.378517.87021.64620.005523.7504.821−22.479517.87024.96235.668523.75013.088−9.009517.87023.16526.957523.7509.135−16.900517.87021.25218.271523.75012.390−10.633517.87024.61133.924523.7508.174−18.383517.87019.13335.901523.75011.652−12.238517.87022.79325.217523.7507.139−19.815517.87025.98740.905523.75027.22547.912523.75024.25632.181523.750−13.3531.297523.75016.253−0.642523.750−19.000−3.029523.75013.237−9.007523.750−23.670−8.350523.75015.705−2.335523.750−17.628−1.896523.75015.133−4.019523.750−22.696−6.862523.75014.533−5.694523.750−16.224−0.804523.75016.7801.057523.750−21.566−5.489523.75013.902−7.357523.750−14.7960.256523.75020.44314.806523.750−20.322−4.219523.75018.2546.186523.750−6.1336.490523.75020.02613.077523.7500.78312.080523.75017.7794.471523.750−11.9042.329523.75019.60011.350523.750−4.7157.565523.75017.2882.762523.7502.10113.274523.75019.1639.625523.750−10.4533.358523.75020.85116.538523.750−3.3128.658523.75018.7157.904523.7503.39214.498523.7504.944−22.590523.750−9.0044.390523.7509.262−16.953523.750−1.9269.774523.75012.535−10.641523.7504.65515.751523.7508.298−18.448523.750−7.5635.433523.75011.791−12.257523.750−0.56110.914523.7507.262−19.894523.750−17.724−24.980523.75011.002−13.851523.750−24.430−9.956523.7506.147−21.280523.750−23.732−18.548523.75010.161−15.419523.750−25.072−13.436523.7504.77115.947529.630−19.163−23.936523.75028.23954.172529.630−24.446−16.921523.75024.64347.639529.630−12.937−27.304523.75021.70641.103529.630−20.505−22.769523.75026.97144.621529.630−24.909−15.205523.75028.33653.799529.630−14.600−26.674523.75025.32349.297529.630−21.730−21.480523.75028.07851.701529.630−16.199−25.896523.75027.19354.178529.630−24.908−11.667523.75022.47142.723529.630−22.814−20.071523.75026.65642.858529.630−2.449−27.381523.75025.97850.964529.630−11.223−27.777523.75027.83049.927529.6303.650−23.810523.75027.51454.418529.630−4.165−27.849523.75023.21544.353529.6302.263−24.922523.75026.33241.096529.630−5.921−28.126523.75026.60652.642529.6300.780−25.904523.75027.56148.156529.630−7.697−28.201523.75027.92154.405529.630−0.795−26.730523.75023.93945.992529.630−9.471−28.080523.75026.00139.335529.6305.88917.032523.75020.91939.493529.63027.27346.387529.630−8.8754.375529.63012.74025.615529.630−1.7929.857529.63017.54233.174529.630−7.4315.435529.6308.36919.939529.630−0.42911.019529.63013.75727.090529.630−5.9986.511529.63018.42334.734529.6300.91212.207529.6309.50821.322529.630−24.444−17.096529.63014.74428.585529.630−12.902−27.607529.63019.27836.308529.630−20.502−23.006529.63010.61622.730529.630−24.908−15.368529.63015.70430.098529.630−14.575−26.969529.6306.00017.251529.630−21.727−21.700529.63011.69324.161529.630−16.183−26.180529.63016.63631.628529.630−22.811−20.275529.6307.19918.582529.630−25.072−13.586529.63025.66437.575529.630−17.714−25.250529.63023.91028.791529.630−23.729−18.738529.63022.03020.032529.630−19.158−24.190529.63025.32235.816529.630−4.067−28.137529.63023.54427.037529.6302.396−25.166529.63021.63518.284529.630−5.835−28.423529.63024.97634.059529.6300.905−26.157529.63023.17425.284529.630−7.624−28.505529.63021.23316.539529.630−0.679−26.994529.63024.62632.302529.630−9.411−28.388529.63020.11037.895529.6305.097−22.817529.63022.79923.532529.630−2.342−27.657529.63020.82214.795529.630−11.176−28.084529.63024.27030.546529.6303.794−24.045529.63022.41821.781529.63012.791−10.812529.630−23.643−8.470529.63015.438−4.154529.630−17.541−1.983529.63017.6322.667529.630−22.655−6.976529.63014.827−5.839529.630−16.127−0.883529.63017.1150.952529.630−21.513−5.597529.63014.185−7.511529.630−14.6910.188529.63016.579−0.758529.630−24.904−11.805529.63013.507−9.169529.630−20.256−4.320529.63016.021−2.460529.630−13.2411.240529.63020.40213.053529.630−24.416−10.084529.63018.1304.388529.630−18.923−3.124529.63019.97311.314529.630−11.7852.284529.63019.5329.577529.630−4.5797.605529.63019.0797.844529.6302.22713.425529.63018.6126.114529.630−10.3283.327529.6308.487−18.655529.630−3.1778.719529.63012.034−12.436529.6303.51314.671529.6307.438−20.107529.63011.232−14.037529.63025.52334.054535.5106.311−21.499529.63023.73125.206535.51010.377−15.612529.63021.78416.390535.5109.464−17.153529.63025.17532.282535.5103.69214.835535.51023.35623.440535.5104.94616.134535.51021.36914.633535.5106.17217.460535.51024.82230.511535.5102.41013.564535.51022.97421.675535.51019.58636.655535.51020.94512.878535.51020.44238.245535.51024.46428.742535.51028.61751.841535.51022.58519.911535.51022.88343.080535.51025.86635.827535.51027.18342.928535.510−15.961−1.011535.51028.90654.065535.510−21.425−5.721535.51026.53751.334535.510−14.5120.066535.51028.36250.053535.510−24.901−11.942535.51027.76054.453535.510−20.145−4.448535.51023.65644.712535.510−13.0521.129535.51026.86241.151535.510−24.400−10.210535.51027.19053.017535.510−18.790−3.255535.51028.08748.269535.510−11.5892.186535.51028.08554.694535.510−23.605−8.591535.51024.41046.353535.510−17.390−2.115535.51026.53539.375535.510−25.072−13.737535.51021.27639.846535.510−22.593−7.097535.51027.79746.487535.510−8.6704.313535.51028.49554.678535.510−1.5959.917535.51025.14448.002535.510−7.2245.394535.51026.20337.601535.510−0.23611.106535.51022.09041.458535.510−5.7926.494535.51027.49544.707535.5101.10012.321535.51028.81454.442535.510−4.3757.613535.51025.85449.662535.510−10.1273.246535.51018.70735.078535.510−2.9758.753535.5109.67921.586535.510−14.557−27.277535.51014.95728.907535.510−21.738−21.933535.51010.79123.009535.510−16.175−26.477535.51015.93230.427535.510−22.821−20.490535.51011.87424.454535.510−17.714−25.534535.51016.88131.963535.510−23.736−18.934535.5107.37018.811535.510−11.132−28.405535.51012.92925.919535.510−19.164−24.458535.51017.80633.513535.510−24.448−17.276535.5108.53920.187535.510−12.872−27.923535.51013.95727.404535.510−20.511−23.257535.51024.10026.973535.510−24.909−15.533535.51022.18918.150535.5101.052−26.493535.510−7.553−28.831535.51028.53554.627541.390−0.549−27.327535.51027.97053.247541.390−9.354−28.712535.51028.81648.316541.3905.306−23.162535.51025.08646.561541.390−2.228−27.987535.51027.26139.345541.3903.980−24.388535.51021.84840.037541.390−3.968−28.466535.51028.52246.519541.3902.563−25.505535.51026.93037.555541.390−5.750−28.750535.51028.86354.869541.39018.1302.418535.51025.84748.215541.39015.261−6.140535.51026.59435.765541.39011.574−14.375535.51022.68741.654541.39017.6030.691535.51028.21844.723541.39014.602−7.821535.51029.27554.849541.39017.055−1.030535.51026.58349.880541.39013.907−9.488535.51026.25233.977541.39016.484−2.743535.51029.36551.916541.39013.173−11.137535.51010.01921.705541.39015.887−4.447535.51015.37429.064541.39012.397−12.768535.51011.14323.137541.39020.0649.376535.51016.36830.590541.39019.6047.630535.51012.24024.590541.39019.1305.888535.51017.33732.131541.39018.6394.150535.5107.68818.907541.39020.51111.125535.51013.31126.063541.3907.692−20.455535.51021.21610.851541.3906.542−21.846535.51018.28433.687541.39010.698−15.954535.5108.86720.295541.3909.763−17.498535.51014.35527.555541.3908.764−19.002535.51020.7639.087541.3905.24816.204541.39022.50416.159541.3900.04211.113541.39025.90632.189541.3906.48217.543541.39024.08623.268541.3901.38312.345541.39022.08514.387541.3902.69813.604541.39025.55430.403541.3903.98714.891541.39023.70321.488541.39020.10936.838541.39021.65612.617541.39020.98938.432541.39025.19628.617541.39019.20735.256541.39023.31219.710541.39023.50543.280541.39024.83226.833541.39027.90642.929541.39022.91317.933541.39029.59354.607541.39024.46225.050541.39029.67954.223541.390−21.343−5.838541.39027.29151.558541.390−14.325−0.056541.39029.09850.115541.390−24.899−12.077541.39024.30544.916541.390−20.038−4.569541.39027.58641.137541.390−25.073−13.887541.390−12.8501.011541.39018.7922.076541.390−24.390−10.332541.39015.850−6.538541.390−24.446−17.457541.39012.054−14.806541.390−18.660−3.378541.39018.2530.337541.390−11.3732.076541.39020.2957.327541.390−23.577−8.705541.39019.8125.572541.390−24.909−15.698541.39010.189−17.933541.390−17.240−2.239541.3909.160−19.435541.390−9.8993.145541.3908.058−20.884541.390−22.539−7.210541.3906.95017.471547.270−15.792−1.136541.3903.10513.522547.270−8.4334.225541.3900.41011.024547.270−1.3239.908541.3905.69516.129547.270−6.9785.320541.3904.41414.812547.270−5.5386.434541.3901.77012.259547.270−4.1147.569541.390−0.9739.815547.270−2.7098.727541.390−2.3788.630547.270−22.814−20.702541.39019.93935.239547.270−17.677−25.802541.39021.76638.427547.270−23.732−19.131541.39020.86336.827547.270−11.044−28.707541.39018.99333.664547.270−19.137−24.714541.39018.02432.102547.270−12.797−28.218541.39030.28454.910547.270−20.493−23.500541.39028.84142.872547.270−14.496−27.564541.39025.17444.938547.270−21.726−22.161541.39024.35143.295547.270−16.126−26.755541.39026.82732.033547.270−0.357−27.688541.39027.85637.448547.270−9.251−29.020541.39029.86854.932547.2705.609−23.577541.39022.64840.039547.270−2.058−28.335541.39028.25451.610547.2704.253−24.791541.39028.51841.063547.270−3.818−28.801541.39029.15844.682547.2702.806−25.895541.39029.76848.306547.270−5.617−29.075541.39030.34151.935547.2701.268−26.869541.39029.53854.687547.270−7.435−29.147541.39030.60054.658547.2706.876−22.269541.39028.95753.308547.27015.172−8.228541.39023.50941.662547.27011.152−16.388541.39027.52349.925547.27017.692−1.396541.39026.76348.252547.27014.457−9.902541.39025.97846.590547.27017.106−3.120541.39027.17533.837547.27013.702−11.559541.39027.51835.642547.27019.3113.821541.39029.46746.493547.27016.493−4.835541.39030.05950.120547.27012.902−13.195541.39030.65854.047547.27028.19039.255547.270−8.1774.117547.27011.69723.080547.270−3.8027.469547.2709.37720.230547.270−6.7035.214547.27021.6348.722547.270−19.061−24.951547.27017.03230.556547.270−16.021−27.006547.27014.97527.511547.270−12.662−28.484547.27021.1586.947547.270−10.893−28.981547.27010.55121.644547.270−22.779−20.908547.2708.17718.839547.270−9.085−29.304547.27022.09410.500547.270−20.431−23.727547.27012.81624.537547.270−17.586−26.046547.27016.01629.025547.270−14.375−27.822547.27013.90826.015547.270−21.678−22.378547.27024.99723.030547.270−1.817−28.691547.27022.54212.283547.2701.567−27.274547.27023.40015.856547.2706.021−24.051547.27025.37624.828547.270−3.600−29.134547.27026.11428.428547.270−7.254−29.444547.27022.97714.068547.270−0.089−28.068547.27023.81317.646547.2703.140−26.326547.27024.21719.439547.2704.625−25.245547.27024.61121.233547.2707.328−22.760547.27025.74826.627547.270−5.418−29.388547.27026.47330.230547.27016.603−7.021547.270−9.6633.036547.27010.754−18.449547.270−23.709−19.325547.27013.561−13.709547.270−25.073−14.037547.27017.895−3.581547.270−21.284−5.936547.27019.071−0.100547.270−12.6550.902547.27020.1543.412547.270−14.152−0.163547.27015.905−8.721547.270−17.113−2.340547.2709.689−19.946547.270−19.955−4.668547.27011.751−16.906547.270−24.387−10.449547.27012.684−15.323547.270−23.563−8.809547.27014.387−12.067547.270−24.434−17.638547.27015.167−10.404547.270−22.506−7.308547.27017.265−5.308547.270−24.899−12.210547.27018.496−1.845547.270−24.905−15.864547.27019.6231.653547.270−11.1571.966547.27020.6655.177547.270−15.641−1.239547.2708.549−21.387547.270−18.556−3.478547.270−5.2446.331547.270


As an example, the profile sections of the first stage nozzle airfoils 16 at each of near root, near pitch and near tip distances R are illustrated in FIG. 2.


The coordinate values given in Table II below provide the preferred nominal profile shape excluding the fillet region for the first stage bucket airfoil 18.

TABLE IIStage 1 Bucket 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5418.045−26.830523.734395.15020.218531.155409.966−12.527523.734406.9129.747531.155413.675−5.984523.734396.6273.111531.155418.619−21.654523.734381.2851.692531.155415.327−21.628523.734385.81916.342531.155406.703−7.650523.734400.41617.893531.155409.8643.866523.734390.9883.863531.155415.539−11.549523.734380.7757.279531.155420.097−27.333523.734390.57719.627531.155412.419−16.531523.734404.40513.672531.155412.076−1.570523.734400.3170.291531.155417.299−17.148523.734385.6561.547531.155394.4523.927531.155383.01012.637531.155380.4393.816531.155396.29319.997531.155387.55517.894531.155407.4718.725531.155395.5663.592531.155409.5004.530531.155380.6862.680531.155415.116−10.777531.155386.65917.150531.155419.681−26.434531.155401.31017.146531.155412.932−17.832531.155403.402−3.198531.155404.115−4.120531.155389.8743.522531.155411.696−0.865531.155381.0928.400531.155416.856−16.337531.155391.68419.987531.155417.896−27.067531.155405.07812.722531.155409.956−12.825531.155399.4661.087531.155413.655−6.351531.155384.5661.136531.155418.493−21.927531.155383.63113.622531.155415.210−21.898531.155397.40119.638531.155406.813−7.920531.155408.0077.690531.155409.9653.462531.155414.650−20.876531.155415.471−11.886531.155406.157−6.956531.155419.948−27.568531.155410.4162.387531.155412.348−16.824531.155415.823−12.997531.155412.103−1.957531.155411.759−15.819531.155417.194−17.452531.155412.502−3.051531.155417.375−26.025531.155417.527−18.568531.155409.342−11.834531.155416.846−24.987531.155414.027−7.455531.155408.722−10.847531.155418.802−23.051531.155414.395−8.561531.155403.208−2.367538.576419.105−24.176531.155390.0564.623538.576414.084−19.858531.155382.09210.297538.576405.490−6.001531.155393.59920.294538.576410.8541.308531.155405.98911.280538.576416.170−14.109531.155399.4471.968538.576419.413−28.494531.155384.7352.483538.576411.163−14.817531.155384.91215.277538.576412.893−4.149531.155399.07018.835538.576417.855−19.686531.155408.6876.210538.576416.308−23.953531.155394.5814.902538.576408.095−9.866531.155381.1815.817538.576414.758−9.668531.155389.22419.018538.576419.399−25.303531.155403.34015.032538.576413.511−18.843531.155402.509−1.455538.576404.810−5.055531.155388.9824.215538.576411.2800.223531.155382.53211.359538.576416.515−15.223531.155394.74720.275538.576418.417−28.109531.155406.57510.291538.576410.562−13.819531.155398.5882.731538.576413.277−5.249531.155383.5922.434538.576418.177−20.806531.155385.65616.153538.576415.763−22.924531.155400.02918.202538.576407.458−8.890531.155409.1675.166538.576393.4485.086538.576415.768−13.209538.576381.2456.964538.576414.044−19.969538.576390.25819.519538.576405.843−6.133538.576404.05514.132538.576414.023−7.734538.576401.787−0.561538.576416.774−16.506538.576387.9333.745538.576419.266−28.498538.576383.03612.391538.576411.233−14.958538.576395.88320.108538.576414.380−8.827538.576407.1369.288538.576418.676−23.134538.576397.6773.431538.576416.205−24.026538.576382.5132.808538.576408.305−10.014538.576386.45916.975538.576417.428−18.710538.576400.93317.493538.576419.540−26.471538.576392.3005.092538.576413.491−18.962538.576381.4358.097538.576405.204−5.177538.576391.33919.907538.576412.921−4.468538.576404.73213.204538.576417.103−17.607538.576401.0400.312538.576418.277−28.129538.576386.8933.257538.576410.658−13.963538.576383.60213.391538.576410.0813.057538.576396.99119.804538.576415.673−23.007538.576407.6738.273538.576407.701−9.036538.576396.7064.045538.576409.6314.115538.576381.7033.605538.576411.760−1.222538.576387.32217.733538.576416.106−14.307538.576401.78316.721538.576419.804−27.589538.576391.1634.927538.576412.933−17.957538.576381.7239.209538.576404.553−4.230538.576392.45720.169538.576413.294−5.555538.576405.37612.252538.576417.749−19.813538.576400.2611.158538.576417.761−27.102538.576385.8362.807538.576410.078−12.971538.576384.22814.355538.576410.5181.994538.576398.05619.375538.576414.733−9.920538.576408.1907.246538.576418.973−24.244538.576395.6734.546538.576415.136−21.991538.576381.3014.676538.576407.090−8.063538.576388.24518.418538.576412.155−2.301538.576402.58415.897538.576412.371−16.955538.576412.542−3.383538.576403.889−3.293538.576416.441−15.406538.576413.661−6.644538.576411.804−15.955538.576418.063−20.918538.576415.081−11.015538.576417.249−26.073538.576418.372−22.025538.576409.492−11.982538.576416.730−25.048538.576410.9430.926538.576408.901−10.996538.576415.426−12.112538.576411.357−0.146538.576419.263−25.356538.576414.593−20.979538.576410.6341.649545.997406.471−7.095538.576412.600−3.632545.997384.91415.272545.997411.0460.600545.997398.73919.015545.997412.968−4.697545.997408.3816.814545.997409.3254.767545.997396.9354.976545.997411.448−0.453545.997389.06019.029545.997409.7743.733545.997403.01915.392545.997411.840−1.509545.997391.5636.256545.997410.2102.694545.997382.75311.332545.997412.224−2.569545.997394.46420.322545.997387.2634.946545.997406.26410.793545.997382.3205.834545.997385.61916.151545.997401.7870.312545.997399.69718.422545.997386.1984.577545.997408.8615.794545.997382.0386.922545.997395.9485.520545.997390.4556.054545.997390.06819.533545.997403.797−2.407545.997403.73614.522545.997385.0964.347545.997400.3292.030545.997382.0068.047545.997383.18812.371545.997389.3735.738545.997395.58120.182545.997383.9774.423545.997406.8269.816545.997403.146−1.487545.997386.38616.976545.997382.1429.165545.997400.60217.750545.997402.477−0.580545.997401.0731.183545.997388.3145.353545.997394.9025.938545.997382.9834.936545.997391.12419.925545.997382.39910.262545.997404.41613.623545.997412.440−16.929545.997383.69613.377545.997405.664−5.226545.997396.67419.909545.997414.038−7.905545.997407.3658.826545.997418.552−23.024545.997398.7303.618545.997404.432−3.338545.997387.21717.738545.997410.262−12.982545.997401.45617.014545.997415.729−13.281545.997393.8096.207545.997414.563−20.906545.997392.21920.192545.997407.439−8.104545.997405.06112.699545.997417.337−18.682545.997399.5512.845545.997418.149−27.934545.997384.27214.345545.997411.901−15.939545.997397.73019.515545.997414.384−8.978545.997407.8837.825545.997418.843−24.113545.997397.8614.335545.997416.118−23.909545.997388.10918.426545.997409.707−12.000545.997402.26016.225545.997416.057−14.359545.997392.6876.313545.997414.037−19.910545.997393.33720.326545.997406.856−7.140545.997405.67711.755545.997417.648−19.766545.997417.637−26.930545.997383.88113.603553.418414.726−10.052545.997396.45820.102553.418419.129−25.203545.997407.0519.406553.418419.126−28.283545.997400.4132.916553.418415.604−22.906545.997386.7016.749553.418409.148−11.022545.997387.23217.925553.418416.381−15.439545.997401.16017.320553.418413.508−18.914545.997396.2786.517553.418406.265−6.180545.997382.8369.369553.418413.330−5.765545.997392.10420.356553.418417.954−20.850545.997404.74813.159553.418417.136−25.921545.997403.111−0.563553.418411.358−14.951545.997390.9987.698553.418415.064−11.127545.997384.40714.570553.418419.403−26.296545.997397.49219.724553.418408.584−10.046545.997407.5698.434553.418416.703−16.519545.997399.6703.730553.418405.054−4.278545.997385.6096.616553.418412.975−17.921545.997388.09918.603553.418413.687−6.834545.997401.95816.561553.418418.255−21.936545.997395.2997.020553.418416.629−24.914545.997382.88310.468553.418410.812−13.965545.997393.19620.493553.418415.398−12.203545.997405.36312.245553.418419.662−27.393545.997402.4690.332553.418415.085−21.905545.997389.9107.531553.418408.015−9.073545.997385.01115.491553.418417.022−17.600545.997398.48219.242553.418398.0705.242553.418408.0677.452553.418383.6027.358553.418398.8914.508553.418390.00719.696553.418384.5256.773553.418403.42614.920553.418389.02619.197553.418393.1947.648553.418402.71215.759553.418383.44012.594553.418394.2677.404553.418395.38920.363553.418383.09911.547553.418406.51210.366553.418394.29620.496553.418401.1242.076553.418405.95011.313553.418387.7727.003553.418401.8081.213553.418386.42617.175553.418388.8377.284553.418400.31618.027553.418385.68516.361553.418409.0135.463553.418399.42418.672553.418397.2015.917553.418408.5486.462553.418383.0348.290553.418414.531−20.656553.418391.03720.087553.418407.219−7.083553.418404.10414.052553.418410.7341.409553.418403.735−1.471553.418415.689−13.187553.418392.0987.744553.418411.990−15.771553.418404.344−2.388553.418404.940−3.314553.418412.649−3.754553.418412.283−2.715553.418417.243−18.470553.418416.938−17.411553.418416.531−24.581553.418417.027−25.564553.418409.383−10.920553.418409.911−11.887553.418414.386−8.979553.418414.049−7.930553.418418.710−23.777553.418418.425−22.713553.418414.027−19.677553.418404.45213.543560.839406.663−6.133553.418392.06220.315560.839411.1350.383553.418384.3519.840560.839416.006−14.242553.418398.2526.034560.839418.992−27.849553.418400.91117.529560.839411.475−14.797553.418387.27618.060560.839413.008−4.795553.418389.5049.232560.839417.544−19.529553.418401.7852.036560.839416.034−23.598553.418406.7319.929560.839408.850−9.957553.418396.29520.134560.839409.4634.458553.418384.05813.865560.839414.717−10.029553.418394.7318.426560.839418.991−24.842553.418403.81414.401560.839413.520−18.699553.418391.02420.061560.839406.098−5.188553.418385.2579.291560.839411.527−0.646553.418399.0225.293560.839416.320−15.297553.418408.6806.125560.839418.028−27.525553.418400.08118.202560.839410.957−13.825553.418386.47417.354560.839413.361−5.838553.418390.5729.266560.839417.842−20.589553.418402.4141.172560.839415.535−22.616553.418406.19710.855560.839408.312−8.996553.418395.25220.362560.839409.8993.447553.418383.74212.846560.839415.045−11.081553.418395.6837.943560.839419.264−25.909553.418403.14515.234560.839413.012−17.722553.418390.01919.700560.839405.524−4.248553.418386.3049.091560.839411.909−1.679553.418399.7564.517560.839416.630−16.354553.418408.2187.089560.839417.520−26.549553.418399.20418.812560.839410.436−12.855553.418385.74016.578560.839413.708−6.883553.418391.6409.221560.839418.135−21.651553.418403.0250.295560.839415.034−21.635553.418405.64011.767560.839407.769−8.038553.418394.18920.471560.839410.3222.430553.418383.62011.786560.839415.369−12.133553.418396.5877.372560.839419.518−26.980553.418402.44016.037560.839412.502−16.746553.418389.05519.240560.839387.3729.087560.839410.3942.209560.839400.4593.712560.839407.987−7.941560.839407.7418.045560.839414.964−21.177560.839398.27819.346560.839418.005−21.150560.839385.08315.736560.839413.695−6.823560.839392.6979.070560.839410.523−12.645560.839403.620−0.593560.839417.411−25.927560.839405.05912.664560.839416.542−16.011560.839393.12120.454560.839411.938−1.777560.839383.78410.735560.839405.873−4.226560.839397.4426.731560.839412.999−17.381560.839401.69616.805560.839419.121−25.277560.839388.13818.691560.839415.000−10.894560.839388.4389.158560.839409.9843.196560.839401.1342.884560.839408.502−8.878560.839407.2458.992560.839415.454−22.127560.839397.30719.792560.839417.718−20.121560.839384.51614.830560.839413.356−5.810560.839393.7328.806560.839411.021−13.590560.839404.200−1.490560.839417.917−26.868560.839415.935−13.961560.839416.240−14.985560.839411.1840.223560.839411.565−0.775560.839406.943−6.076560.839406.411−5.149560.839413.982−19.278560.839413.491−18.329560.839418.570−23.212560.839418.848−24.244560.839414.357−8.856560.839414.680−9.874560.839409.1285.155560.839409.5624.178560.839409.519−10.758560.839409.012−9.817560.839416.433−24.027560.839415.944−23.077560.839417.136−18.064560.839417.429−19.092560.839412.661−3.789560.839413.012−4.798560.839404.768−2.396560.839411.517−14.537560.839412.012−15.484560.839418.862−27.161560.839415.627−12.938560.839408.6935.959568.260410.7941.218560.839400.41117.694568.260407.468−7.007560.839386.92511.445568.260414.473−20.228560.839399.6395.309568.260418.289−22.181560.839406.30610.551568.260414.028−7.839560.839392.72220.289568.260410.022−11.701560.839391.98810.375568.260416.923−24.977560.839402.7521.177568.260416.840−17.037560.839390.67220.021568.260412.303−2.781560.839403.36914.807568.260405.325−3.308560.839384.22614.133568.260412.506−16.432560.839396.6218.134568.260419.371−26.315560.839391.69120.203568.260415.315−11.915560.839408.2486.894568.260394.78720.173568.260407.504−6.836568.260387.93311.209568.260414.366−19.605568.260400.3094.519568.260416.815−24.166568.260388.70819.374568.260416.704−16.446568.260405.77211.438568.260412.221−2.663568.260397.75619.293568.260409.971−11.388568.260392.97610.067568.260419.221−25.417568.260403.3180.310568.260415.198−11.493568.260384.80916.097568.260410.3532.165568.260402.68815.587568.260405.470−3.229568.260384.43213.127568.260412.411−15.954568.260397.4337.491568.260417.854−20.425568.260407.7887.821568.260413.594−6.571568.260399.56818.295568.260408.002−7.744568.260388.95011.017568.260414.856−20.518568.260400.9523.708568.260416.409−15.454568.260386.10917.699568.260411.862−1.692568.260405.21412.310568.260410.459−12.301568.260396.79419.676568.260418.969−24.414568.260393.9419.690568.260414.886−10.506568.260403.872−0.565568.260409.9543.120568.260384.39215.151568.260405.986−4.126568.260401.97016.333568.260412.899−16.867568.260385.06312.317568.260418.736−26.242568.260398.2056.801568.260417.570−19.429568.260407.3128.741568.260413.259−5.591568.260393.75720.279568.260408.497−8.654568.260389.96910.832568.260416.112−14.462568.260401.5722.878568.260411.497−0.723568.260385.39816.947568.260416.326−23.254568.260404.62913.165568.260410.948−13.214568.260395.80219.971568.260418.692−23.416568.260394.8739.241568.260414.570−9.520568.260387.78318.911568.260409.5454.071568.260401.21117.038568.260406.497−5.027568.260385.94711.784568.260413.387−17.780568.260398.9396.071568.260417.811−25.981568.260406.8189.651568.260417.284−18.434568.260398.68218.830568.260412.919−4.613568.260390.98310.625568.260408.990−9.564568.260402.1712.034568.260415.811−13.471568.260389.67419.744568.260411.1230.243568.260404.01513.998568.260415.836−22.342568.260395.7688.720568.260404.414−1.447568.260386.91118.352568.260411.435−14.127568.260418.135−21.422568.260418.414−22.419568.260413.924−7.552568.260414.249−8.535568.260409.1255.018568.260409.481−10.476568.260407.003−5.930568.260415.506−12.481568.260413.876−18.693568.260410.7421.206568.260417.305−25.079568.260415.346−21.430568.260416.995−17.440568.260404.946−2.336568.260412.573−3.637568.260411.923−15.041568.260


an example, the profile sections of the first stage bucket airfoils 18 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 3.


The coordinate values given in Table III below provide the preferred nominal profile shape excluding fillet regions for the second stage nozzle airfoils 20.

TABLE IIIStage 2 Nozzle AirfoilXYRXYR18.24827.890494.35027.43938.515494.35014.57222.815494.35023.36835.773494.35019.13329.183494.35024.91131.100494.35015.51224.068494.35028.37543.097494.35020.00530.485494.35022.22023.743494.35016.43825.332494.35026.94537.028494.35017.35026.607494.35024.18037.113494.35021.71133.113494.35024.38529.624494.35025.94234.060494.35028.03343.192494.35028.65542.470494.35020.86431.795494.35025.76839.814494.35026.44635.543494.35023.31326.680494.35024.98038.460494.35027.92240.006494.35023.85228.151494.35022.54534.439494.35027.70243.103494.35025.43032.579494.35028.36941.507494.35028.60942.826494.350−18.628−2.056494.35026.53841.178494.350−17.144−1.553494.35022.76925.211494.350−8.4171.916494.350−1.7586.026494.3505.35812.155494.350−14.179−0.538494.35010.65717.922494.350−7.0332.649494.3506.45813.271494.350−0.5066.968494.3501.9168.956494.350−12.7120.011494.3507.53714.407494.350−5.6743.429494.3503.0889.996494.3500.7187.946494.35018.24813.520494.350−11.2600.600494.35013.61721.573494.350−4.3424.254494.35015.2026.303494.350−9.8271.233494.35020.54719.351494.350−3.0365.120494.35017.65712.069494.350−15.659−1.054494.35014.5604.874494.350−27.296−8.215494.35019.98117.890494.350−26.634−15.701494.35017.05810.622494.350−21.556−3.169494.35019.41016.431494.350−22.116−19.953494.35011.66019.125494.350−27.786−9.701494.35016.4509.178494.350−26.526−6.854494.35021.66622.278494.350−27.344−14.306494.35018.83214.974494.350−20.102−2.586494.35012.64720.342494.350−23.427−19.097494.35015.8327.738494.350−25.508−5.665494.35021.10920.813494.350−27.804−12.811494.3508.753−6.224494.350−17.763−21.683494.3504.186−12.581494.350−24.637−18.103494.3507.911−7.546494.350−24.303−4.667494.3503.150−13.756494.350−27.960−11.255494.35011.098−2.152494.350−19.267−21.246494.3507.036−8.846494.350−25.718−16.970494.3502.065−14.887494.350−22.968−3.848494.35010.344−3.525494.350−20.723−20.670494.3506.126−10.121494.350−6.984−20.936494.3509.563−4.883494.350−14.667−22.140494.3505.177−11.367494.350−1.499−17.944494.35011.829−0.766494.350−8.471−21.428494.35013.9023.452494.350−16.225−21.981494.35013.2292.037494.350−2.793−18.826494.35012.5380.631494.350−9.992−21.801494.35029.09843.055501.440−4.140−19.626494.35029.06343.422501.440−11.539−22.048494.35028.82443.703501.4400.930−15.966494.35028.47543.801501.440−5.538−20.333494.35028.00543.581501.440−13.101−22.162494.35014.89522.842501.440−0.258−16.988494.35019.51929.429501.4408.59615.562494.35015.84924.138501.4404.23511.063494.35016.78725.446501.4409.63516.734494.35012.94020.283501.44017.71226.764501.440−28.746−13.358501.44013.92621.556501.440−18.457−22.605501.44018.62228.092501.440−28.750−10.166501.44027.01841.820501.440−25.450−18.780501.44023.09125.177501.440−25.127−5.033501.44027.82638.868501.440−28.927−11.762501.44023.80636.239501.440−19.989−22.112501.44025.26331.239501.440−26.557−17.612501.44022.53523.666501.440−21.469−21.481501.44020.40230.775501.440−28.238−8.642501.44027.32637.338501.440−27.503−16.311501.44024.62837.624501.440−22.883−20.714501.44024.72929.720501.440−27.441−7.246501.44021.97422.157501.440−28.250−14.887501.44021.27132.129501.440−3.020−20.099501.44026.82135.810501.440−10.481−22.983501.44025.43939.014501.440−4.418−20.897501.44024.18928.204501.440−12.077−23.188501.44028.77241.945501.440−5.868−21.595501.44021.41020.650501.440−13.685−23.252501.44022.12933.492501.440−0.392−18.243501.44026.30934.284501.440−7.367−22.180501.44026.23740.412501.440−15.293−23.176501.44023.64226.689501.440−1.678−19.211501.44028.31540.402501.440−8.908−22.645501.44022.97334.862501.4405.51611.816501.44025.79032.760501.44010.91717.779501.440−20.751−3.025501.4400.7657.473501.440−19.219−2.529501.4406.63912.969501.440−17.680−2.058501.4401.9948.513501.440−23.734−4.228501.4407.74014.143501.440−22.263−3.576501.4403.1949.585501.440−0.4926.467501.4408.81915.338501.440−13.088−0.567501.4404.36810.687501.440−5.8122.848501.4409.87816.550501.440−11.5850.010501.44014.7854.232501.440−4.4383.687501.44020.27017.639501.440−10.1020.637501.44017.31410.153501.440−3.0934.572501.44014.1192.766501.440−16.141−1.588501.44019.69216.137501.440−8.6451.320501.44011.93819.024501.440−1.7785.499501.44016.6998.665501.440−14.608−1.097501.44019.10814.636501.440−7.2142.058501.44016.0747.182501.440−16.887−22.961501.44018.51713.139501.440−24.217−19.813501.44015.4365.704501.440−26.384−6.036501.44020.84319.143501.44017.92011.644501.44023.45635.351508.5303.128−14.943501.44026.14032.841508.5307.123−9.901501.44023.40825.036508.5302.009−16.100501.44019.97629.725508.53010.502−4.422501.44028.19539.129508.5306.190−11.212501.44024.29536.776508.5300.836−17.203501.44025.60731.275508.5309.706−5.821501.44022.84523.481508.5305.215−12.493501.440−25.803−5.505508.5308.879−7.202501.440−18.043−2.719508.5304.196−13.739501.440−24.333−4.750508.5308.019−8.563501.440−22.794−4.145508.53011.270−3.008501.440−21.221−3.633508.53013.4361.309501.440−19.634−3.168508.53012.734−0.140501.440−11.755−0.672508.53012.014−1.580501.440−4.3993.079508.53029.51444.020508.530−10.228−0.037508.53029.15542.295508.530−3.0173.988508.53029.27144.312508.530−16.453−2.263508.53026.74941.089508.530−8.7260.657508.53028.91344.411508.530−1.6674.943508.53027.53942.542508.530−14.871−1.780508.53028.56644.295508.530−7.2541.410508.53029.55443.835508.530−0.3485.941508.53012.32118.939508.530−13.304−1.251508.53017.22225.597508.530−5.8112.219508.53013.33620.244508.530−26.384−19.500508.53018.15526.963508.530−29.906−12.263508.53014.33321.564508.530−20.838−23.036508.53019.07228.339508.530−27.508−18.289508.53015.31222.897508.530−22.342−22.349508.53016.27524.242508.530−29.147−9.070508.53020.86531.119508.530−28.470−16.945508.53027.69337.554508.530−23.778−21.529508.53025.12438.207508.530−28.287−7.661508.53025.06729.712508.530−29.231−15.478508.53022.27721.927508.530−17.678−23.999508.53021.74232.522508.530−25.131−20.579508.53027.18335.980508.530−27.146−6.468508.53025.94239.645508.530−29.702−10.626508.53024.52028.151508.530−29.733−13.904508.53021.70420.376508.530−19.279−23.587508.53022.60533.933508.530−4.817−22.252508.53026.66534.409508.530−12.746−24.387508.53023.96726.592508.530−6.323−22.936508.53028.68840.708508.530−14.399−24.401508.53021.12818.825508.530−0.640−19.590508.530−7.878−23.498508.53029.71644.922515.620−16.047−24.271508.53028.06643.283515.620−1.973−20.568508.53028.56739.367515.620−9.474−23.931508.53029.34845.019515.620−3.366−21.459508.53028.99744.893515.620−11.100−24.229508.53025.62938.807515.6206.93912.663508.53029.98544.231515.6202.1988.053508.53013.76720.196515.6208.06013.880508.53018.62227.164515.6203.4259.161508.53014.77321.565515.6209.15715.117508.53015.76022.947515.6204.62410.301508.53011.69517.503515.62010.23216.374508.53016.73124.342515.6205.79511.469508.53012.74118.842515.6200.9406.978508.53017.68425.748515.62019.95815.731508.53024.86028.068515.62016.9108.044508.53022.00420.068515.62013.5800.475508.53023.09534.385515.62019.36414.188508.53027.02834.508515.62016.2736.518508.53024.30026.464515.62018.76312.647508.53019.54528.591515.62015.6224.997508.53021.41718.474515.62018.15411.109508.53023.95035.853515.62014.9583.483508.53026.49732.894515.62020.54617.277508.53023.73424.862515.62011.28617.648508.53020.45330.027515.62017.5379.574508.53020.82416.882515.62014.2771.975508.53024.79437.327515.62010.580−5.420508.53025.95931.283515.6206.156−12.400508.53023.16323.262515.6200.632−18.533508.53021.34631.471515.6209.764−6.859508.53028.06337.745515.6205.153−13.715508.53025.41329.674515.6208.917−8.279508.53022.58621.664515.6204.103−14.993508.53022.22732.924515.6208.035−9.678508.53027.54936.125515.6203.001−16.226508.530−24.852−5.398515.6207.116−11.053508.530−23.245−4.849515.6201.845−17.409508.530−29.095−8.127515.62012.863−1.015508.530−21.614−4.375515.62012.126−2.496508.530−27.848−6.978515.62011.366−3.965508.530−19.973−3.933515.62026.45340.292515.620−26.406−6.084515.62029.53542.623515.620−18.332−3.495515.62029.96444.620515.620−2.8943.373515.62027.26641.784515.620−16.695−3.041515.62029.06240.992515.620−8.755−0.055515.620−1.5104.357515.62018.38110.541515.620−15.068−2.552515.62015.1062.704515.620−7.2430.719515.62017.7498.964515.620−0.1585.386515.62014.4081.155515.620−13.457−2.013515.62020.22415.293515.620−5.7611.551515.62017.1077.391515.620−11.865−1.420515.62013.693−0.386515.620−4.3122.437515.62019.61813.706515.620−10.296−0.768515.6205.039−14.961515.620−23.277−23.267515.6208.909−9.381515.620−30.039−9.534515.6203.957−16.271515.620−29.493−17.624515.6208.003−10.818515.620−24.736−22.397515.6202.820−17.533515.620−30.255−16.107515.6207.058−12.229515.620−18.527−25.072515.6201.626−18.742515.620−26.111−21.400515.6206.071−13.612515.620−30.746−14.483515.6200.372−19.887515.620−20.160−24.608515.6209.779−7.922515.620−27.382−20.274515.62012.203−3.439515.620−30.892−12.794515.62011.423−4.948515.620−21.748−24.005515.62010.616−6.443515.620−30.648−11.117515.62026.45340.292515.620−28.522−19.016515.62029.53542.623515.620−15.171−25.576515.62029.96444.620515.620−0.946−20.959515.62027.26641.784515.620−8.449−24.834515.62029.06240.992515.620−16.859−25.396515.62029.71644.922515.620−2.327−21.947515.62028.06643.283515.620−10.100−25.235515.62028.56739.367515.620−3.772−22.840515.62029.34845.019515.620−11.778−25.494515.62028.99744.893515.620−5.277−23.627515.62025.62938.807515.620−13.473−25.609515.62029.98544.231515.620−6.838−24.296515.62013.76720.196515.6203.7018.714515.62018.62227.164515.6209.53614.880515.62014.77321.565515.6204.9249.892515.62015.76022.947515.6206.11811.101515.62011.69517.503515.6201.1616.457515.62016.73124.342515.6207.28312.337515.62012.74118.842515.6202.4477.567515.62017.68425.748515.6208.42213.597515.62024.86028.068515.62016.4545.823515.62022.00420.068515.62012.958−1.918515.62023.09534.385515.62019.00312.122515.62027.02834.508515.62015.7874.260515.62024.30026.464515.62010.62716.182515.62019.54528.591515.62021.41718.474515.620−30.648−11.117515.62023.95035.853515.620−28.522−19.016515.62026.49732.894515.620−15.171−25.576515.62023.73424.862515.620−0.946−20.959515.62020.45330.027515.620−8.449−24.834515.62020.82416.882515.620−16.859−25.396515.62024.79437.327515.620−2.327−21.947515.62025.95931.283515.620−10.100−25.235515.62023.16323.262515.620−3.772−22.840515.62021.34631.471515.620−11.778−25.494515.62028.06337.745515.620−5.277−23.627515.62025.41329.674515.620−13.473−25.609515.62022.58621.664515.620−6.838−24.296515.62022.22732.924515.6203.7018.714515.62027.54936.125515.6209.53614.880515.620−24.852−5.398515.6204.9249.892515.620−23.245−4.849515.6206.11811.101515.620−29.095−8.127515.6201.1616.457515.620−21.614−4.375515.6207.28312.337515.620−27.848−6.978515.6202.4477.567515.620−19.973−3.933515.6208.42213.597515.620−26.406−6.084515.62016.4545.823515.620−18.332−3.495515.62012.958−1.918515.620−2.8943.373515.62019.00312.122515.620−16.695−3.041515.62015.7874.260515.620−8.755−0.055515.62010.62716.182515.620−1.5104.357515.62018.38110.541515.620−15.068−2.552515.62015.1062.704515.620−7.2430.719515.62017.7498.964515.620−0.1585.386515.62014.4081.155515.620−13.457−2.013515.62020.22415.293515.620−5.7611.551515.62017.1077.391515.620−11.865−1.420515.62013.693−0.386515.620−4.3122.437515.62019.61813.706515.620−10.296−0.768515.6205.039−14.961515.620−23.277−23.267515.6208.909−9.381515.620−30.039−9.534515.6203.957−16.271515.620−29.493−17.624515.6208.003−10.818515.620−24.736−22.397515.6202.820−17.533515.620−30.255−16.107515.6207.058−12.229515.620−18.527−25.072515.6201.626−18.742515.620−26.111−21.400515.6206.071−13.612515.620−30.746−14.483515.6200.372−19.887515.620−20.160−24.608515.6209.779−7.922515.620−27.382−20.274515.62012.203−3.439515.620−30.892−12.794515.62011.423−4.948515.620−21.748−24.005515.62010.616−6.443515.62026.45340.292515.620−26.406−6.084515.62029.53542.623515.620−18.332−3.495515.62029.96444.620515.620−2.8943.373515.62027.26641.784515.620−16.695−3.041515.62029.06240.992515.620−8.755−0.055515.62029.71644.922515.620−1.5104.357515.62028.06643.283515.620−15.068−2.552515.62028.56739.367515.620−7.2430.719515.62029.34845.019515.620−0.1585.386515.62028.99744.893515.620−13.457−2.013515.62025.62938.807515.620−5.7611.551515.62029.98544.231515.620−11.865−1.420515.62013.76720.196515.620−4.3122.437515.62018.62227.164515.620−10.296−0.768515.62014.77321.565515.620−23.277−23.267515.62015.76022.947515.620−30.039−9.534515.62011.69517.503515.620−29.493−17.624515.62016.73124.342515.620−24.736−22.397515.62012.74118.842515.620−30.255−16.107515.62017.68425.748515.620−18.527−25.072515.62024.86028.068515.620−26.111−21.400515.62022.00420.068515.620−30.746−14.483515.62023.09534.385515.620−20.160−24.608515.62027.02834.508515.620−27.382−20.274515.62024.30026.464515.620−30.892−12.794515.62019.54528.591515.620−21.748−24.005515.62021.41718.474515.620−30.648−11.117515.62023.95035.853515.620−28.522−19.016515.62026.49732.894515.620−15.171−25.576515.62023.73424.862515.620−0.946−20.959515.62020.45330.027515.620−8.449−24.834515.62020.82416.882515.620−16.859−25.396515.62024.79437.327515.620−2.327−21.947515.62025.95931.283515.620−10.100−25.235515.62023.16323.262515.620−3.772−22.840515.62021.34631.471515.620−11.778−25.494515.62028.06337.745515.620−5.277−23.627515.62025.41329.674515.620−13.473−25.609515.62022.58621.664515.620−6.838−24.296515.62022.22732.924515.6203.7018.714515.62027.54936.125515.6209.53614.880515.620−24.852−5.398515.6204.9249.892515.620−23.245−4.849515.6206.11811.101515.620−29.095−8.127515.6201.1616.457515.620−21.614−4.375515.6207.28312.337515.620−27.848−6.978515.6202.4477.567515.620−19.973−3.933515.6208.42213.597515.62016.4545.823515.6209.79014.540522.71012.958−1.918515.62015.10021.446522.71019.00312.122515.62019.91528.707522.71015.7874.260515.62021.76418.312522.71010.62716.182515.62024.35336.206522.71018.38110.541515.62026.91233.127522.71015.1062.704515.62024.11824.874522.71017.7498.964515.62020.83030.191522.71014.4081.155515.62021.15916.678522.71020.22415.293515.62026.36931.471522.71017.1077.391515.62023.53923.230522.71013.693−0.386515.62021.73031.683522.71019.61813.706515.62020.54715.046522.7105.039−14.961515.62025.81829.818522.7108.909−9.381515.62022.95321.589522.7103.957−16.271515.62022.61733.183522.7108.003−10.818515.62027.97336.448522.7102.820−17.533515.62025.25828.167522.7107.058−12.229515.62018.98627.233522.7101.626−18.742515.62022.36119.949522.7106.071−13.612515.62023.49134.691522.7100.372−19.887515.62027.44734.786522.7109.779−7.922515.62024.69226.519522.71012.203−3.439515.620−29.966−8.767522.71011.423−4.948515.620−22.153−5.178522.71010.616−6.443515.620−28.637−7.645522.71029.49041.451522.710−20.465−4.745522.71030.41545.220522.710−27.118−6.794522.71028.50843.864522.710−18.778−4.308522.71028.99539.780522.710−25.500−6.151522.71030.16245.531522.710−30.973−10.183522.71025.20437.726522.710−23.836−5.633522.71028.48938.112522.710−15.427−3.352522.71029.78445.626522.710−7.393−0.010522.71026.04539.253522.710−13.773−2.803522.71029.42845.492522.710−5.8720.840522.71026.87640.785522.710−12.139−2.197522.71029.96643.127522.710−4.3831.746522.71030.45045.024522.710−10.528−1.531522.71027.69742.322522.710−2.9282.704522.71010.89815.885522.710−17.097−3.849522.71016.09822.874522.710−8.946−0.802522.71011.98317.249522.710−1.5063.712522.71017.07824.316522.710−25.564−23.367522.71013.04418.632522.710−31.234−16.918522.71018.04025.769522.710−19.210−26.152522.71014.08320.031522.710−26.972−22.341522.710−31.735−15.252522.7105.008−16.010522.710−20.881−25.658522.7108.971−10.280522.710−28.276−21.186522.7103.899−17.354522.710−31.875−13.518522.71011.543−5.729522.710−22.505−25.028522.71010.718−7.264522.710−29.448−19.897522.71025.50637.923529.800−24.070−24.263522.71028.98538.717529.800−30.450−18.473522.71030.61246.139529.800−31.616−11.799522.71026.35439.494529.800−2.561−23.160522.71028.46737.009529.800−10.568−26.446522.71030.22446.232529.800−4.050−24.065522.71027.19241.069529.800−12.293−26.686522.71030.46343.864529.800−5.601−24.858522.71023.77734.799529.800−14.033−26.777522.71027.93935.304529.800−7.210−25.527522.71029.86246.089529.800−15.774−26.716522.71028.02242.650529.800−1.138−22.154522.71029.98742.144529.800−8.869−26.059522.71030.90045.619529.800−17.504−26.507522.71024.64736.358529.8005.0869.398522.71028.84544.234529.800−0.1194.767522.71029.49240.429529.8006.30610.643522.71030.86845.821529.8001.2345.866522.71012.13516.841529.8007.49511.917522.71017.30324.115529.8002.5527.006522.71013.21418.263529.8008.65613.217522.71018.27625.611529.8003.8368.185522.7108.74212.698529.80012.341−4.180522.71014.26819.703529.80018.66410.169522.7109.90014.057529.80015.3132.126522.71015.30121.159529.80018.0188.550522.71011.03115.438529.80014.5980.536522.71016.31222.630529.80017.3616.936522.71026.85431.902529.80013.866−1.046522.71023.99323.448529.80019.92813.417522.71022.00131.702529.80016.6925.326522.71020.95215.057529.80013.114−2.618522.71026.29830.206529.80019.30011.791522.71023.39821.765529.80016.0103.723522.71022.89633.247529.8008.044−11.755522.71020.32113.388529.8002.733−18.649522.71025.73328.513529.8007.076−13.205522.71019.23127.119529.8001.507−19.887522.71022.79720.084529.8006.066−14.625522.71025.16026.822529.8000.217−21.059522.71020.17028.637529.8009.862−8.782522.71022.19018.406529.80027.40133.602529.800−4.141−25.075529.80024.58025.134529.8001.1335.177529.80021.09330.165529.8007.55611.365529.80021.57516.730529.8002.4876.340529.800−29.561−8.460529.8003.8057.544529.800−21.168−5.544529.8005.0898.785529.800−27.994−7.609529.800−0.2574.058529.800−19.439−5.100529.8006.33810.059529.800−26.330−6.965529.80018.3728.400529.800−31.975−11.037529.80014.8800.186529.800−24.623−6.444529.80017.7016.745529.800−30.937−9.591529.80014.133−1.435529.800−22.898−5.984529.80017.0185.096529.800−6.1800.081529.80013.366−3.046529.800−12.629−2.969529.80019.68011.721529.800−4.6470.995529.80016.3223.453529.800−10.974−2.300529.80012.577−4.648529.800−3.1481.964529.80019.03110.059529.800−17.716−4.635529.80015.6091.816529.800−9.345−1.569529.80011.763−6.237529.800−1.6852.986529.8007.212−13.908529.800−16.003−4.132529.8001.536−20.776529.800−7.747−0.774529.8006.182−15.366529.800−14.306−3.578529.8000.220−21.982529.800−32.684−16.236529.8005.105−16.790529.800−21.382−26.724529.8009.142−10.905529.800−29.018−22.239529.8003.975−18.171529.800−32.855−14.463529.8008.197−12.420529.800−23.050−26.092529.8002.786−19.503529.800−30.244−20.943529.80010.922−7.811529.800−32.618−12.698529.80010.049−9.368529.800−24.662−25.326529.80023.07133.128536.890−31.303−19.508529.80029.02337.797536.890−26.204−24.428529.80031.06446.748536.890−32.140−17.933529.80027.41341.157536.890−19.668−27.222529.80031.01644.822536.890−27.662−23.399529.80023.96234.721536.890−12.582−27.763529.80028.49336.049536.890−5.728−25.890529.80031.32246.421536.890−14.364−27.856529.80028.25242.778536.890−7.376−26.577529.80030.54343.059536.890−16.148−27.794529.80024.84036.322536.890−1.164−23.109529.80027.95334.305536.890−9.075−27.122529.80031.35146.215536.890−17.920−27.580529.80029.08544.403536.890−2.618−24.144529.80030.04941.301536.890−10.815−27.518529.80030.29846.683536.89025.70837.928536.890−16.790−4.893536.89029.54239.547536.890−8.303−1.562536.89030.66746.838536.890−15.050−4.340536.89026.56539.540536.890−6.686−0.713536.8908.67912.057536.890−13.328−3.734536.89014.32419.226536.890−5.1040.197536.8909.86513.445536.890−23.397−27.196536.89015.37520.720536.890−30.915−22.151536.89011.02214.858536.890−25.064−26.452536.89016.40222.229536.890−32.053−20.725536.89012.14916.294536.890−26.665−25.576536.89017.40923.752536.890−32.970−19.149536.8907.46210.696536.890−19.915−28.283536.89013.25017.750536.890−28.188−24.569536.89018.39525.288536.890−33.592−17.435536.89023.91322.181536.890−21.677−27.807536.89020.78713.605536.890−29.613−23.430536.89026.27429.092536.890−33.831−15.629536.89019.36326.836536.890−7.349−27.451536.89023.30420.460536.890−16.306−28.810536.89020.13511.899536.890−9.080−28.029536.89025.69627.360536.890−18.121−28.620536.89020.31428.395536.890−2.512−24.908536.89022.68718.742536.890−10.855−28.456536.89025.10925.631536.890−4.058−25.877536.89021.24829.964536.890−12.660−28.729536.89022.06217.026536.890−5.673−26.729536.89027.40332.565536.890−14.481−28.848536.89024.51523.905536.8902.2505.586536.89022.16631.542536.8903.6076.807536.89021.42915.314536.8904.9278.068536.89026.84330.827536.890−0.5773.276536.890−20.306−5.875536.8906.2129.366536.890−33.653−13.816536.8900.8564.408536.890−27.337−7.845536.89014.485−1.567536.890−18.544−5.400536.89017.4245.119536.890−33.042−12.101536.89013.704−3.217536.890−25.598−7.287536.89016.7143.437536.890−32.006−10.605536.89012.902−4.857536.890−23.840−6.798536.89019.47410.198536.890−30.617−9.427536.89015.9881.761536.890−22.073−6.335536.89012.075−6.484536.890−29.028−8.531536.89018.8028.500536.890−11.626−3.072536.89015.2460.093536.890−3.5571.168536.89011.219−8.098536.890−9.950−2.348536.89018.1196.807536.890−2.0482.195536.8900.368−22.667536.8905.319−17.313536.89023.23719.307543.980−1.036−23.834536.89019.97510.572543.9804.173−18.734536.89025.68926.353543.9808.454−12.824536.89021.28229.607543.9802.969−20.106536.89022.60417.553543.9807.454−14.352536.89019.2928.836543.9801.702−21.421536.89025.08824.587543.9806.411−15.850536.89021.96115.803543.98010.333−9.694536.89018.37924.825543.9809.412−11.270536.89024.47922.825543.98024.03934.476543.98021.30914.055543.98029.10037.010543.98026.86429.893543.98031.51747.357543.98019.36526.408543.98028.39142.723543.98023.86221.065543.98031.14544.184543.980−26.763−8.206543.98024.93136.114543.980−34.715−15.191543.98028.55735.226543.980−33.167−11.848543.98031.11047.447543.980−24.979−7.661543.98029.23544.386543.980−31.799−10.586543.98030.65542.385543.980−23.183−7.158543.98025.81137.758543.980−30.217−9.603543.98028.00233.445543.980−21.383−6.670543.98030.73547.275543.980−28.519−8.833543.98030.07646.050543.980−19.584−6.178543.98022.21631.222543.980−34.169−13.414543.98030.15140.589543.980−2.6311.372543.98031.80346.813543.980−17.792−5.663543.98026.68039.408543.980−9.082−2.361543.98027.43831.668543.980−16.011−5.108543.98023.13532.845543.980−7.416−1.522543.98029.63238.797543.980−14.246−4.507543.98031.77647.023543.980−5.784−0.619543.98027.54041.063543.980−12.500−3.852543.98015.29620.156543.980−4.1890.346543.98010.83714.177543.980−10.777−3.138543.98016.34621.697543.980−32.700−22.147543.9805.8918.596543.980−26.957−26.828543.98011.99415.640543.980−33.726−20.592543.98017.37323.254543.980−19.965−29.345543.9807.1789.946543.980−28.556−25.869543.98013.12217.125543.980−34.458−18.880543.9808.43111.328543.980−21.780−28.916543.98014.22218.631543.980−30.066−24.775543.9809.65012.739543.980−34.799−17.050543.98020.64712.312543.980−23.557−28.353543.98026.28128.121543.980−31.461−23.539543.98020.33328.002543.980−25.287−27.657543.980−8.904−28.792543.98012.461−6.489543.980−18.123−29.633543.98015.6780.241543.980−2.260−25.466543.98011.595−8.141543.980−10.706−29.271543.98018.5987.105543.980−3.822−26.485543.98014.906−1.457543.980−12.542−29.595543.98010.698−9.776543.980−5.453−27.388543.98017.8915.380543.980−14.399−29.764543.98014.113−3.145543.980−7.150−28.162543.9804.478−19.061543.980−16.264−29.775543.9808.798−12.985543.9804.5677.283543.9803.264−20.477543.980−1.1122.454543.9807.788−14.553543.9800.3673.590543.9801.987−21.836543.9801.8064.776543.9806.734−16.092543.9803.2066.008543.9800.643−23.129543.98017.1703.660543.9805.633−17.597543.98013.299−4.823543.980−0.772−24.343543.98016.4331.946543.9809.767−11.392543.980


As an example, the profile sections of the second stage nozzle airfoils 20 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 4.


The coordinate values given in Table IV below provide the preferred nominal profile shape excluding the fillet region for the second stage bucket airfoils 22.

TABLE IVStage 2 Bucket AirfoilXYRXYR534.5217.749498.825569.543−1.940498.825535.0288.634498.825570.048−2.827498.825535.6359.456498.825570.542−3.721498.825536.31010.221498.825571.025−4.621498.825537.04010.935498.825571.499−5.525498.825537.81511.600498.825571.964−6.434498.825538.62912.216498.825572.421−7.347498.825539.47912.782498.825572.871−8.264498.825544.15314.786498.825573.313−9.185498.825545.15115.001498.825573.750−10.108498.825546.16115.148498.825574.180−11.034498.825547.17915.225498.825574.605−11.962498.825548.20015.232498.825575.026−12.893498.825549.21915.170498.825575.442−13.825498.825550.23215.039498.825559.701−2.634498.825551.23414.843498.825558.827−2.106498.825552.22114.585498.825557.939−1.602498.825553.19214.267498.825557.038−1.121498.825554.14213.895498.825556.124−0.666498.825555.07113.471498.825555.198−0.236498.825555.97713.000498.825554.2600.168498.825556.85912.486498.825553.3100.544498.825557.71711.932498.825552.3510.892498.825558.55111.342498.825551.3811.213498.825559.36010.719498.825550.4031.505498.825560.14510.066498.825549.4171.770498.825560.9079.386498.825548.4232.007498.825561.6468.681498.825547.4242.218498.825562.3627.954498.825546.4202.404498.825563.0587.206498.825545.4122.566498.825563.7336.440498.825544.4012.708498.825564.3885.657498.825543.3872.833498.825565.0254.859498.825542.3722.945498.825565.6444.046498.825541.3563.048498.825566.2453.221498.825540.3403.152498.825566.8312.385498.825539.3253.264498.825567.4011.538498.825538.3133.399498.825567.9570.681498.825537.3083.577498.825568.499−0.185498.825536.3213.836498.825569.027−1.058498.825535.3834.237498.825534.5924.874498.825539.94814.176508.157534.1395.777498.825540.82514.674508.157534.1766.790498.825559.943−1.951508.157540.36113.296498.825559.124−1.363508.157541.27213.757498.825558.291−0.794508.157542.21014.161498.825557.444−0.246508.157543.17114.505498.825556.5830.280508.157577.174−20.960498.825555.7080.782508.157576.615−20.106498.825554.8201.259508.157576.046−19.258498.825553.9171.709508.157575.469−18.415498.825553.0012.132508.157574.882−17.580498.825552.0722.525508.157574.284−16.752498.825551.1312.889508.157573.675−15.932498.825550.1793.222508.157573.056−15.121498.825549.2163.523508.157572.425−14.317498.825548.2453.794508.157571.783−13.523498.825547.2654.034508.157571.129−12.739498.825546.2784.244508.157570.463−11.965498.825545.2864.426508.157569.784−11.202498.825544.2904.582508.157569.092−10.452498.825543.2904.717508.157568.386−9.713498.825542.2884.834508.157567.667−8.988498.825541.2854.941508.157566.935−8.277498.825540.2815.045508.157566.188−7.581498.825539.2795.159508.157565.427−6.900498.825538.2815.303508.157564.652−6.235498.825537.2945.510508.157563.862−5.587498.825534.9297.204508.157563.058−4.957498.825534.8328.196508.157562.240−4.346498.825541.73315.113508.157561.408−3.755498.825542.66915.489508.157560.562−3.183498.825543.62915.798508.157575.854−14.760498.825544.60916.037508.157576.262−15.696498.825545.60416.202508.157576.667−16.633498.825546.60916.291508.157577.068−17.572498.825547.61716.305508.157577.465−18.513498.825548.62416.242508.157577.857−19.456498.825549.62316.105508.157578.245−20.401498.825550.61015.896508.157578.028−21.288498.825551.58015.621508.157535.1159.162508.157552.53015.283508.157535.58610.053508.157553.45814.888508.157536.16810.876508.157554.36214.441508.157536.82411.642508.157555.24113.946508.157537.53812.354508.157556.09513.408508.157538.30113.014508.157556.92312.833508.157539.10613.622508.157557.72612.222508.157558.50511.582508.157571.357−6.351508.157559.26110.914508.157571.818−7.248508.157559.99410.221508.157572.273−8.148508.157560.7069.506508.157572.723−9.051508.157561.3978.771508.157573.168−9.956508.157562.0698.019508.157573.608−10.864508.157562.7227.250508.157574.044−11.774508.157563.3586.467508.157574.476−12.685508.157563.9775.670508.157574.904−13.599508.157564.5814.862508.157575.329−14.514508.157565.1704.043508.157575.750−15.430508.157565.7453.214508.157576.167−16.349508.157576.722−20.611508.157576.580−17.269508.157576.161−19.773508.157576.988−18.192508.157575.593−18.939508.157577.390−19.117508.157575.018−18.110508.157577.785−20.045508.157574.435−17.287508.157577.571−20.922508.157573.843−16.471508.157536.3405.836508.157573.242−15.660508.157535.4956.379508.157572.633−14.856508.157541.28515.567517.489572.016−14.058508.157540.40815.105517.489571.389−13.267508.157539.56614.582517.489570.754−12.484508.157538.76413.999517.489570.109−11.708508.157538.00713.359517.489569.455−10.940508.157537.30312.662517.489568.790−10.181508.157536.66211.906517.489568.116−9.431508.157536.10911.084517.489567.431−8.691508.157535.69110.186517.489566.735−7.960508.157565.3293.094517.489566.028−7.240508.157564.7753.916517.489565.310−6.532508.157564.2104.731517.489564.581−5.835508.157563.6325.536517.489563.839−5.151508.157563.0406.332517.489563.086−4.481508.157562.4357.117517.489562.320−3.824508.157561.8147.890517.489561.541−3.183508.157561.1768.649517.489560.749−2.559508.157560.5219.393517.489566.3072.377508.157559.84810.121517.489566.8571.531508.1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0.189526.821551.5735.982536.153540.49615.819536.153552.3985.510536.153539.69415.309536.153553.2075.011536.153538.94214.727536.153554.0004.485536.153538.25414.072536.153554.7763.937536.153537.65313.337536.153555.5373.367536.153563.6294.335536.153556.2832.777536.153563.0895.117536.153557.0152.170536.153562.5385.892536.153557.7331.547536.153561.9756.658536.153558.4380.909536.153561.4007.415536.153559.1310.258536.153560.8118.162536.153559.812−0.406536.153560.2088.897536.153576.412−18.994536.153559.5899.619536.153576.007−18.134536.153558.95410.327536.153575.595−17.277536.153558.30211.018536.153575.176−16.423536.153557.63111.692536.153574.753−15.572536.153556.94012.345536.153574.328−14.721536.153556.22912.976536.153573.900−13.872536.153555.49513.580536.153573.470−13.024536.153554.73814.156536.153573.038−12.177536.153553.95714.698536.153572.604−11.331536.153553.15215.203536.153572.168−10.486536.153552.32215.667536.153571.729−9.643536.153571.289−8.800536.153538.8559.638536.153570.845−7.959536.153539.7719.388536.153570.399−7.119536.153540.7059.210536.153569.950−6.281536.153539.45015.240545.485569.497−5.445536.153538.77214.604545.485569.041−4.611536.153563.4154.157545.485568.580−3.780536.153562.8904.924545.485568.114−2.951536.153562.3555.685545.485567.643−2.125536.153561.8096.438545.485567.166−1.302536.153561.2527.182545.485566.683−0.483536.153560.6827.918545.485566.1930.332536.153560.1008.643545.485565.6971.143536.153559.5039.356545.485565.1931.949536.153558.89210.057545.485564.6812.750536.153558.26410.744545.485564.1603.546536.153557.62011.415545.485560.483−1.079536.153556.95812.067545.485561.144−1.763536.153556.27612.700545.485561.796−2.455536.153555.57413.311545.485562.439−3.155536.153554.85113.895545.485563.075−3.862536.153554.10614.451545.485563.703−4.576536.153553.33714.975545.485564.325−5.295536.153552.54415.461545.485564.940−6.020536.153551.72815.906545.485565.550−6.749536.153550.88816.305545.485566.155−7.483536.153550.02516.652545.485566.755−8.221536.153549.14116.941545.485567.351−8.961536.153548.23917.166545.485567.943−9.705536.153547.32217.323545.485568.532−10.452536.153546.39617.407545.485569.117−11.201536.153545.46717.415545.485569.700−11.953536.153544.54017.344545.485570.280−12.706536.153543.62217.193545.485570.857−13.461536.153542.72216.961545.485571.433−14.219536.153541.84516.650545.485572.005−14.978536.153541.00216.260545.485572.575−15.738536.153540.19915.791545.485573.143−16.501536.153538.19813.874545.485573.708−17.266536.153537.80313.036545.485574.270−18.033536.153537.80612.121545.485574.827−18.804536.153538.28711.334545.485575.379−19.578536.153539.05010.811545.485576.201−19.823536.153539.92210.491545.485537.18812.509536.153540.82610.273545.485536.99711.586536.153541.73910.096545.485537.32210.704536.153542.6549.928545.485537.99810.045536.153543.5689.753545.485544.4779.557545.485563.9323.383545.485545.3799.333545.485559.902−0.308545.485546.2749.078545.485560.536−0.988545.485547.1578.787545.485561.161−1.677545.485548.0288.462545.485561.779−2.372545.485548.8868.102545.485562.390−3.073545.485549.7287.708545.485562.994−3.780545.485550.5547.281545.485563.593−4.492545.485551.3646.823545.485564.186−5.208545.485552.1576.337545.485564.775−5.928545.485552.9335.825545.485565.359−6.652545.485553.6935.289545.485565.940−7.379545.485554.4374.731545.485566.516−8.108545.485555.1664.153545.485567.090−8.840545.485555.8803.557545.485567.661−9.574545.485556.5812.945545.485568.230−10.310545.485557.2682.318545.485568.797−11.047545.485557.9431.678545.485569.363−11.786545.485558.6061.027545.485569.927−12.525545.485559.2590.364545.485570.490−13.266545.485575.954−18.646545.485571.051−14.007545.485575.556−17.805545.485571.612−14.749545.485575.150−16.969545.485572.171−15.493545.485574.737−16.135545.485572.728−16.237545.485574.322−15.303545.485573.284−16.983545.485573.903−14.472545.485573.838−17.730545.485573.483−13.643545.485574.388−18.480545.485573.060−12.814545.485574.933−19.234545.485572.635−11.987545.485575.745−19.457545.485572.209−11.160545.485563.2524.006554.817571.780−10.335545.485562.7414.758554.817571.349−9.511545.485562.2215.504554.817570.916−8.688545.485561.6916.243554.817570.481−7.866545.485561.1506.975554.817570.042−7.046545.485560.5997.698554.817569.601−6.227545.485560.0358.412554.817569.156−5.410545.485559.4599.116554.817568.707−4.595545.485558.8699.808554.817568.255−3.783545.485558.26510.487554.817567.798−2.973545.485557.64511.153554.817567.336−2.166545.485557.00811.802554.817566.868−1.362545.485556.35412.434554.817566.395−0.561545.485555.68113.045554.817565.9160.237545.485554.98813.634554.817565.4311.030545.485554.27414.198554.817564.9391.819545.485553.53814.732554.817564.4392.604545.485552.78015.234554.817551.99815.698554.817575.112−17.475554.817551.19316.122554.817574.716−16.656554.817550.36616.498554.817574.315−15.840554.817549.51616.822554.817573.911−15.025554.817548.64717.089554.817573.505−14.211554.817547.76117.293554.817573.096−13.399554.817546.86217.428554.817572.685−12.588554.817545.95517.491554.817572.271−11.778554.817545.04517.478554.817571.855−10.969554.817544.14117.386554.817571.437−10.162554.817543.24917.213554.817571.016−9.356554.817542.37616.957554.817570.592−8.551554.817541.53416.616554.817570.165−7.748554.817540.73216.187554.817569.736−6.946554.817539.98615.668554.817569.303−6.146554.817539.32015.050554.817568.867−5.348554.817538.77914.321554.817568.427−4.552554.817538.47513.471554.817567.983−3.758554.817538.65012.592554.817567.535−2.967554.817539.25111.921554.817567.082−2.178554.817540.05811.508554.817566.624−1.392554.817540.92611.237554.817566.161−0.610554.817541.81111.028554.817565.6930.170554.817542.70010.836554.817565.2180.946554.817543.58810.640554.817564.7371.718554.817544.47210.426554.817564.2502.485554.817545.34910.185554.817563.7553.248554.817546.2179.913554.817559.941−0.257554.817547.0739.606554.817560.544−0.938554.817547.9169.265554.817561.139−1.625554.817548.7448.889554.817561.729−2.317554.817549.5568.480554.817562.313−3.015554.817550.3528.040554.817562.891−3.716554.817551.1317.570554.817563.465−4.422554.817551.8937.074554.817564.035−5.131554.817552.6386.553554.817564.601−5.843554.817553.3676.010554.817565.164−6.557554.817554.0815.446554.817565.723−7.274554.817554.7814.865554.817566.280−7.993554.817555.4664.267554.817566.835−8.714554.817556.1383.654554.817567.388−9.435554.817556.7983.028554.817567.940−10.159554.817557.4462.390554.817568.490−10.883554.817558.0831.742554.817569.039−11.607554.817558.7111.084554.817569.588−12.333554.817559.3300.417554.817570.136−13.058554.817575.499−18.298554.817570.684−13.785554.817571.231−14.511554.817554.4085.543564.149571.778−15.238554.817555.0664.944564.149572.323−15.966554.817555.7114.333564.149572.868−16.694554.817556.3453.709564.149573.411−17.424554.817556.9683.075564.149573.951−18.155554.817557.5822.431564.149574.488−18.889554.817558.1861.779564.149575.289−19.091554.817558.7831.120564.149562.6234.619564.149559.3720.454564.149562.1175.350564.149571.524−10.764564.149561.6026.075564.149571.118−9.973564.149561.0776.793564.149570.708−9.184564.149560.5427.503564.149570.295−8.397564.149559.9968.205564.149569.879−7.611564.149559.4388.897564.149569.459−6.827564.149558.8679.579564.149569.037−6.045564.149558.28410.250564.149568.610−5.264564.149557.68510.908564.149568.180−4.486564.149557.07211.551564.149567.745−3.710564.149556.44212.179564.149567.307−2.937564.149555.79412.788564.149566.863−2.166564.149555.12813.377564.149566.415−1.398564.149554.44313.944564.149565.962−0.633564.149553.73714.484564.149565.5040.129564.149553.01014.996564.149565.0400.888564.149552.26115.475564.149564.5701.643564.149551.48915.918564.149564.0942.394564.149550.69616.318564.149563.6113.141564.149549.88016.673564.149563.1213.883564.149549.04516.976564.149559.954−0.218564.149548.19017.222564.149560.530−0.896564.149547.32117.406564.149561.100−1.578564.149546.43917.522564.149540.53216.053564.149545.55117.565564.149539.87815.452564.149544.66317.531564.149539.37714.721564.149543.78217.416564.149539.19813.861564.149542.91617.215564.149539.52513.048564.149542.07616.925564.149540.22212.505564.149541.27516.539564.149541.04312.169564.149548.6139.636564.149541.89711.921564.149549.3959.213564.149542.76011.704564.149550.1608.760564.149543.62211.488564.149550.9088.279564.149544.48011.255564.149551.6397.773564.149545.33110.997564.149552.3547.244564.149546.17210.708564.149553.0536.695564.149547.00110.385564.149553.7386.127564.149547.81510.027564.149575.048−17.949564.149555.26613.185573.481574.672−17.143564.149554.60713.754573.481574.289−16.341564.149553.92914.300573.481573.902−15.540564.149553.23114.820573.481573.513−14.741564.149552.51315.311573.481573.121−13.943564.149551.77315.770573.481572.726−13.146564.149551.01216.191573.481572.328−12.350564.149550.22916.572573.481571.928−11.557564.149549.42616.906573.481561.665−2.265564.149548.60217.188573.481562.226−2.955564.149547.76217.413573.481562.782−3.649564.149546.90717.575573.481563.334−4.346564.149546.04217.669573.481563.883−5.045564.149545.17217.688573.481564.430−5.747564.149544.30417.627573.481564.973−6.451564.149543.44717.480573.481565.514−7.157564.149542.61017.242573.481566.053−7.864564.149541.80916.904573.481566.590−8.572564.149541.06516.454573.481567.126−9.282564.149540.42115.871573.481567.661−9.992564.149539.98215.126573.481568.196−10.703564.149539.97114.269573.481568.729−11.414564.149540.46613.570573.481569.263−12.126564.149541.22213.144573.481569.796−12.837564.149542.04312.856573.481570.328−13.549564.149542.88012.617573.481570.861−14.261564.149543.71812.385573.481571.393−14.974564.149544.55312.139573.481571.925−15.686564.149545.38011.866573.481572.457−16.399564.149546.19511.562573.481572.988−17.112564.149546.99711.225573.481573.516−17.827564.149547.78410.853573.481574.044−18.543564.149548.55510.449573.481574.833−18.724564.149549.30810.013573.481562.5104.531573.481550.0449.549573.481562.0185.249573.481550.7639.058573.481561.5185.962573.481551.4658.544573.481561.0096.668573.481552.1518.008573.481560.4917.367573.481552.8227.454573.481559.9628.058573.481553.4796.883573.481559.4228.741573.481554.1226.296573.481558.8709.414573.481554.7535.697573.481558.30610.077573.481555.3725.085573.481557.72910.728573.481555.9814.463573.481557.13711.365573.481556.5803.832573.481556.53011.989573.481557.1693.192573.481555.90612.596573.481557.7512.544573.481558.3251.890573.481567.927−10.483573.481558.8921.230573.481568.442−11.185573.481574.597−17.599573.481568.958−11.886573.481574.230−16.811573.481569.473−12.588573.481573.855−16.025573.481569.988−13.289573.481573.478−15.241573.481570.504−13.990573.481573.100−14.457573.481571.019−14.691573.481572.718−13.674573.481571.535−15.392573.481572.335−12.893573.481572.052−16.093573.481571.948−12.114573.481572.567−16.794573.481571.559−11.335573.481573.083−17.495573.481571.166−10.558573.481573.599−18.196573.481570.771−9.783573.481574.377−18.358573.481570.373−9.009573.481562.3874.506582.813569.971−8.237573.481561.9125.215582.813569.566−7.466573.481561.4295.919582.813569.159−6.698573.481560.9376.616582.813568.747−5.931573.481560.4367.307582.813568.332−5.166573.481559.9267.991582.813567.913−4.403573.481559.4048.666582.813567.491−3.642573.481558.8729.333582.813567.064−2.883573.481558.3289.990582.813566.632−2.127573.481557.77110.637582.813566.196−1.374573.481557.20011.271582.813565.756−0.624573.481556.61511.893582.813565.3100.124573.481556.01512.500582.813564.8590.868573.481555.39913.090582.813564.4021.609573.481554.76613.662582.813563.9392.346573.481554.11414.213582.813563.4693.079573.481553.44414.741582.813562.9933.807573.481552.75315.242582.813559.4530.564573.481552.04315.714582.813560.008−0.106573.481551.31116.153582.813560.558−0.781573.481550.55816.554582.813561.103−1.459573.481549.78416.913582.813561.644−2.141573.481548.98917.225582.813562.181−2.826573.481548.17617.483582.813562.714−3.514573.481547.34717.684582.813563.245−4.204573.481546.50517.821582.813563.772−4.896573.481545.65417.888582.813564.297−5.591573.481544.80117.880582.813564.820−6.286573.481543.95317.788582.813565.341−6.984573.481543.12017.607582.813565.860−7.682573.481542.31517.324582.813566.378−8.382573.481541.56716.917582.813566.895−9.082573.481540.94016.343582.813567.411−9.782573.481540.62915.561582.813540.82214.747582.813566.786−2.804582.813541.45914.192582.813566.369−2.060582.813542.24113.853582.813565.948−1.317582.813543.05413.595582.813565.522−0.578582.813543.87313.354582.813565.0920.159582.813544.68813.100582.813564.6560.893582.813545.49312.820582.813564.2151.623582.813546.28712.505582.813563.7682.350582.813547.06512.156582.813563.3143.073582.813547.82811.774582.813562.8543.792582.813548.57411.359582.813559.5910.777582.813549.30210.914582.813560.1190.107582.813550.01210.441582.813560.642−0.567582.813550.7059.943582.813561.161−1.245582.813551.3819.423582.813561.676−1.925582.813552.0428.882582.813562.188−2.608582.813552.6878.324582.813562.697−3.293582.813553.3187.749582.813563.203−3.980582.813553.9377.161582.813563.706−4.669582.813554.5436.561582.813564.207−5.360582.813555.1385.949582.813564.707−6.052582.813555.7235.328582.813565.205−6.745582.813556.2984.697582.813565.702−7.439582.813556.8654.059582.813566.198−8.133582.813557.4233.414582.813566.693−8.828582.813557.9742.762582.813567.188−9.524582.813558.5192.105582.813567.682−10.219582.813559.0581.444582.813568.176−10.915582.813574.147−17.248582.813568.671−11.610582.813573.783−16.477582.813569.165−12.306582.813573.411−15.709582.813569.660−13.001582.813573.037−14.942582.813570.156−13.695582.813572.662−14.175582.813570.653−14.389582.813572.285−13.409582.813571.151−15.082582.813571.908−12.644582.813571.650−15.775582.813571.528−11.879582.813572.149−16.467582.813571.147−11.116582.813572.650−17.158582.813570.763−10.354582.813573.154−17.846582.813570.378−9.592582.813573.920−17.991582.813569.990−8.832582.813569.600−8.073582.813569.207−7.316582.813568.812−6.559582.813568.413−5.805582.813568.012−5.052582.813567.607−4.301582.813567.198−3.551582.813


As an example, the profile sections of the second stage bucket airfoils 22 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 4.


It will also be appreciated that the airfoils disclosed in the above Tables I-IV may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Tables I-IV may be scaled upwardly or downwardly such the airfoil shapes remain unchanged. A scaled version of the coordinates values in Tables I-IV would be represented by X, Y and R coordinate values multiplied or divided by the same constant or number.


While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.

Claims
  • 1. A turbine nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape.
  • 2. A turbine nozzle according to claim 1 forming part of a first stage of a turbine.
  • 3. A turbine nozzle according to claim 1 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
  • 4. A turbine bucket including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table II wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape.
  • 5. A turbine bucket according to claim 4 forming part of a first stage of a turbine.
  • 6. A turbine bucket according to claim 4 wherein said airfoil shape lies in an envelope within 4.064 millimeters in a direction normal to any airfoil surface location.
  • 7. A turbine nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections in planes normal to the radius and at the R distances being joined smoothly with one another to form said airfoil shape.
  • 8. A turbine nozzle according to claim 7 forming part of a second stage of the turbine.
  • 9. A turbine nozzle according to claim 7 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
  • 10. A turbine bucket including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.
  • 11. A turbine bucket according to claim 10 forming part of a second stage of the turbine.
  • 12. A turbine bucket according to claim 10 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
  • 13. A first stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about said axis downstream of said nozzles, each said nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape, each said bucket including a bucket airfoil having an airfoil shape, said bucket airfoil having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters Table II wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table II being joined smoothly with one another to form said bucket airfoil shape.
  • 14. A second turbine stage according to claim 13 wherein each said airfoil shape of each of said nozzle and said bucket lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location therealong.
  • 15. A second stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about said axis downstream of said nozzles, each said nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from the axis of rotation of the turbine and X and y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape, each said bucket including a bucket airfoil having an airfoil shape, said bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table IV being joined smoothly with one another to form said bucket airfoil shape
  • 16. A second stage of a turbine according to claim 15 wherein each said airfoil shape of each of said nozzles and said buckets lie in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location therealong.