The described subject matter relates to anti-reflective nanoporous silicon for photoelectrodes for efficient production of solar fuels, such as hydrogen production by photoelectrolysis of water. In recent years, there has been a great deal of excitement about hydrogen, which is a potentially high-efficiency, environmentally clean fuel. Photoelectrochemical (PEC) production of H2 at a semiconductor/electrolyte interface has drawn much attention as a viable route to direct conversion of solar energy to a storable and clean fuel. Silicon is an earth-abundant element and a promising material for PEC water electrolysis half-reaction to produce hydrogen (H2), because of appropriate conduction band edge position relative to hydrogen evolution reaction (HER) potential, E0 (H2/H2O), and small band gap (Eg=1.12 eV) to absorb most of sunlight. The p-type silicon can be used as a photocathode in a PEC cell in conjunction with an n-type photoanode, i.e., so called photochemical diodes or Z-scheme, for direct photoelectrolysis of water. However, about 25% of incident photons are reflected away at the silicon-water interface. To further maximize conversion and storage of solar energy to H2, therefore, low reflectance silicon (Si) surface is used. Thin films of SiNx and indium tin oxide (ITO) have been adopted as anti-reflection (AR) coatings on Si surface for solid-state photovoltaic (PV) devices. For photoelectrochemical generation of H2, however, the conventional AR coatings used in solid-state PV devices are difficult to implement, since the AR coatings prevent charge transfer from Si to the AR coating/electrolyte interface to produce of H2, due to poor electrical properties of AR coatings (i.e., SiNx) and/or chemical instability associated with corrosion (i.e., ITO and WO3) in contact with the aggressive aqueous electrolytes. Furthermore, such AR coatings generally prevent reflection only in a narrow band of wavelengths and for a narrow range of incident light angles, while efficient photoelectrochemistry in sunlight uses a broadband antireflection that works at all solar angles. Therefore, it is desired to develop a robust and broadband anti-reflective Si structure without heterogeneous AR coatings for reliable and efficient production of H2 at the Si/electrolyte interface by photoelectrolysis of water.
The foregoing examples of the related art and limitations related therewith are intended to be illustrative and not exclusive. Other limitations of the related art will become apparent to those of skill in the art upon a reading of the specification and a study of the drawings.
Exemplary embodiments are illustrated in referenced figures of the drawings. It is intended that the embodiments and figures disclosed herein are to be considered illustrative rather than limiting.
a. Illustrates nanostructure and optical reflectance of Si photocathodes via a cross-sectional scanning electron microscopy (SEM) image of nanoporous Si fabricated by one-step metal-assisted etching process. Conical shape of pores with diameter about 20 nm and non-uniform distribution of pore tips present optical properties of a density-graded layer to suppress optical reflectance. Scale bar=500 nm.
b. Illustrates a graph of the measured total hemispherical optical reflectance of polished and nanoporous Si in air, and calculated reflectance of polished Si in water. Nanoporous Si shows broadband anti-reflection properties with optical reflectance <2% over whole solar spectrum. Polished Si reflects about 25% of sunlight at the Si-water interface.
The following embodiments and aspects thereof are described and illustrated in conjunction with systems, tools and methods that are meant to be exemplary and illustrative, not limiting in scope. In various embodiments, one or more of the above-described problems have been reduced or eliminated, while other embodiments are directed to other improvements.
A surface with nanoscale periodic or aperiodic features can suppress reflectance by creating an optical density gradient from the air (in case of PEC application, water) to bulk of the body. The nanostructured surface, called a density-graded layer, consists of arrays of 1-dimensional structures, such as nanopores or nanowires with diameters smaller than the wavelength of incident photons, λ. In the case of Si, when the feature size at the air-silicon interface is smaller than 50 nm and the length of pores or nanowires is longer than 500 nm, the reflection is suppressed less than 2% across the whole solar spectrum with λ<1.3 mm. As a result, the nanostructured Si becomes an ideal solar absorber and, therefore, can be readily applicable to enhance the generation rate of H2 by PEC water splitting. In addition, the enhanced surface area of the nanoporous, density-graded layer provides an extremely high surface reaction site for the photoelectrochemical H2 reaction, thereby reducing the current density used to produce the same amount of photoelectrochemical products on a given area of semiconductor exposed to light, which reduces the overpotential at the photoelectrode. Moreover, it is suggested that the excited e-h pairs by photons in the space charge region effectively separate in 1-dimensional semiconductor structures due to the confined geometry.
Enhanced photoresponses of nanostructured Si photoelectrodes have been demonstrated using various redox couples for photoelectrochemical cells. For example, n-type nano-textured Si fabricated by photoelectrochemical etching showed improved photoelectrochemical conversion efficiency from reduced reflectance in concentrated HI, and n-type Si nanowire arrays by metal-assisted etching exhibited increased PEC efficiency from a large surface area in a solution containing Br2/Br− redox couple. Enhanced photoresponses of arrays of Si nanowires grown by a vapor-liquid-solid mechanism also were reported in non-aqueous solutions with redox couples, and attributed to a large surface area and effective charge separation in the space charge region from 1-dimensionally confined geometry. However, very few studies were reported on nanostructured Si photocathodes for use of efficient H2 production by photoelectrolysis of water by suppressing optical reflectance and increasing surface area.
Exemplary embodiments are disclosed of anti-reflective nanoporous silicon for efficient hydrogen production by photoelectrolysis of water. A nanoporous black Si is disclosed as an efficient photocathode for H2 production from water splitting half-reaction. The nanoporous Si was fabricated by a metal-assisted etching technique and showed optical properties of a density-graded surface that is able to suppress reflectance less than about 2% over the whole solar spectrum without application of any AR coatings. Photoelectrochemical water splitting tests under simulated 1 sun illumination revealed that production rate of H2 at the nanoporous Si photocathode increased about 20% due to enhanced photon absorption. In addition, the over-potential to create H2 was reduced more than about 70 mV, originated from a large surface area. The nanoporous Si may promote H2 gas evolution efficiently without sticking to the electrode surface and may reduce or eliminate the use of a surfactant.
Exemplary embodiments may be better understood with reference to the Figures and the following discussion.
The increase in effective surface area of an electrode over the projected area, Aeff, can reduce the overpotential, η, used to produce a photoelectrochemical reaction at the electrode, by
η=a+b log J−b log Aeff, Eq. (1)
when J, the current density over projected area, is much smaller than the limiting current. Here, a and b are photoelectrochemical constants that depend on physical properties of semiconductors and charge transfer kinetics at the semiconductor-water interface containing a redox couple. Typically, b can have various values larger than 60 mV, depending on the charge transfer mechanisms and physical and chemical states of the interface. According to Eq. (1), increased surface area of a nanostructured electrode leads to the reduction of the overpotential and the positive shift of j-V curves for the H2O splitting half-reaction to generate H2. For example, in
With increased limiting photocurrent from enhanced optical absorption of sunlight, anodic shift of photoreduction current from the increase in Aeff of the nanoporous Si leads to enhanced rate for photoelectrolysis of water half-reaction, i.e., hydrogen production, at a lower external bias. For instance, at E0 (H2/H2O), where water reduction half-reaction occurs thermodynamically, the nanoporous Si (about 2.2 mA/cm2) generates about 300 times more current density than the polished Si photoelectrode (about 7.46 μA/cm2). The nanoporous Si produced about 95% of the limiting photocurrent, equivalent to a H2 production rate of about 1.77 mmol/m2·s with the application of about −0.65 V vs. Ag/AgCl (3 M KCl), while a polished Si produces about 14.4 mA/cm2, or about 0.75 mmol/m2·s under similar circumstances. This indicates that the nanoporous Si uses only about 42% of area of a Si photoelectrode panel used to achieve the same H2 production by the polished Si at the given external bias. This reduction on the used electrode area of the photocathode decreases to 17% when the limiting current is achieved for the polished Si. However, the polished Si electrode still uses an additional 200 mV of external voltage.
While a large effective surface area of the nanoporous Si provides increased reaction sites for H2 production at reduced overpotential, it also implies increased the surface defect states that lead to loss of photo-excited charge carriers by surface recombination.
To maintain the maximum H2 production rate for prolonged periods during PEC water splitting reaction, produced hydrogen molecules may be removed at the Si-water interfaces at a rate equal to or faster than the production rate. Since the hydrogen product leaves the interface via forming H2 bubbles due to low solubility in water, an electrode to nucleate and release H2 bubbles effectively from the surface may be employed.
Hydrogen evolution on the nanoporous Si photocathode by PEC water splitting may be further enhanced by adding a hydrogen evolving catalyst (HEC) to the nanostructured surface. HECs may include, but are not limited to, Pt, Ni, Mo, Zn, Cu, Pd, Au, Fe, S, and alloys of these elements. HECs may be formed using various fabrication techniques including, but not limited to, chemical synthesis, electrodeposition, electroless deposition, physical vapor deposition, chemical vapor deposition, and atomic layer deposition. For example,
Additionally, a buried pn junction may be formed on the nanoporous Si in order to enhance hydrogen evolution by PEC water splitting. These buried pn junctions may be formed by doping n-type dopants on p-type nanoporous Si for the water reduction half-reaction. The n-type dopants may include, but are not limited to, P, As, Sb, and similar n-type dopants. The doping process may include, but is not limited to, high temperature diffusion process, spin-on-dopant, high temperature drive-in, amorphous Si containing n-type dopant, and similar methods. For example,
In summary, efficient photoelectrochemical production of H2 by water reduction half-reaction has been demonstrated using nanoporous Si photocathodes in direct contact with water. The nanoporous Si produced by a one-step metal-assisted etching technique provides broadband anti-reflection in water and a high density of surface reaction sites for H2 production reaction. The nanoporous Si layer exhibits about a 20% increase in photocurrent density from suppressed reflection. The nanoporous Si layer also exhibits a reduction in the overpotential for H2 generation of more than 70 mV, largely from a highly effective surface area. Furthermore, the nanoporous Si also promotes H2 gas evolution efficiently without sticking to the electrode surface and reduces the use of surfactant. The H2 evolution may be further improved by adding an HEC and a buried pn junction to the nanoporous Si. Finally, nanostructures with a density-graded layer may generally be applicable to other semiconductor materials, such as III-Vs, to enhance optical absorption and maximize, the photoelectrochemical reaction rate in contact with an electrolyte.
For example, fabrication of a nanoporous Si: 300 μm thick p-type (100) float-zone Si wafers with 2.5 Ω·cm may be used as a photocathode. After RCA cleaning, an ohmic contact may be formed at the back of the Si by applying commercial Al paste (by way of example, but not limitation, Ferro® FX 053-038) and firing at approximately 800° C. During the high temperature Al alloying process, an approximately 5-10 μm thick heavily-Al doped layer may also form in the Si, which may serve as a back surface field to improve the minority carrier lifetime. A paraffin film may be applied to the backside ohmic contact in order to protect it from the metal-assisted etching solutions. The nanoporous Si may be formed on the exposed front surface by immersing it in 0.4 mM HAuCl4 and then adding an approximately equal volume of 1:5:2 HF:H2O2:H2O solution for approximately 3 minutes. The remaining Au nanoparticles at the bottom of the pores after the etch procedure may be removed by means of an I2/KI solution. Finally, the paraffin film may be removed with trichloroethylene and rinsed with ethanol and isopropanol. After fabrication, the total reflectance spectra of the nanoporous Si in air was measured using a Varian Cary 6000i spectrometer with an integrated sphere. The porous structures were observed with a SEM.
For Photoelectrochemical characterization (PEC) measurement, the backside Al layer of the Si was contacted with silver paint and Cu wires encapsulated in a glass tube. The edge and the exposed backside of the electrodes were sealed with an industrial epoxy (Rocktite 9462), and only the front Si surface was exposed to an electrolyte. Prior to the PEC measurement, native oxide on Si photocathodes was removed by 10% HF solution. A custom-built Pyrex glass with flat windows was used for a PEC cell. A tungsten-halogen lamp (250 W, Oriel®) with an IR cutoff filter was employed as a light source and the light intensity was calibrated with a photodiode (Solarex, Serial No. 147) to simulate 1 sun illumination. 0.5 M sulfuric acid was used as an electrolyte. A small amount (2 g/L) of Zonyl®-FSN 100 (DuPont™) was added as a surfactant to promote H2 bubble evolution. Ag/AgCl (3M KCl) and Pt foil were used as a reference electrode and a counter electrode, respectively. Electrochemical measurements were carried out utilizing a potentiostat (Solartron 1287) interfaced with a personal computer. Before each measurement shown in
It is noted that the example discussed above is provided for purposes of illustration and is not intended to be limiting. Still other embodiments and modifications are also contemplated. While a number of exemplary aspects and embodiments have been discussed above, those of skill in the art will recognize certain modifications, permutations, additions and sub combinations thereof. It is therefore intended that the following appended claims and claims hereafter introduced are interpreted to include all such modifications, permutations, additions and sub-combinations as are within their true spirit and scope.
This application claims the benefit of U.S. Provisional Application No. 61/407,822, filed Oct. 28, 2010; and is a continuation in part of co-pending U.S. patent application Ser. No. 12/053,372, entitled “Nanoparticle based Etching of Silicon Surfaces,” filed Mar. 21, 2008, and U.S. patent application Ser. No. 12/053,445, entitled “Anti-Reflection Etching of Silicon Surfaces Catalyzed with Ionic Metal Solutions,” filed Mar. 21, 2008, which are incorporated herein by reference in their entirety.
The United States Government has rights in this invention under Contract No. DE-AC36-08GO28308 between the United States Department of Energy and the Alliance for Sustainable Energy, LLC, the manager and operator of the National Renewable Energy Laboratory.
Number | Name | Date | Kind |
---|---|---|---|
4111762 | Wade et al. | Sep 1978 | A |
5196088 | Soda | Mar 1993 | A |
5264375 | Bang et al. | Nov 1993 | A |
6093941 | Russell et al. | Jul 2000 | A |
6178033 | Ford et al. | Jan 2001 | B1 |
6284317 | Laibinis et al. | Sep 2001 | B1 |
6329296 | Ruby et al. | Dec 2001 | B1 |
6538801 | Jacobson et al. | Mar 2003 | B2 |
6721083 | Jacobson et al. | Apr 2004 | B2 |
6759313 | Yamakazi et al. | Jul 2004 | B2 |
6762134 | Bohn et al. | Jul 2004 | B2 |
6790785 | Li et al. | Sep 2004 | B1 |
6899816 | Padhi et al. | May 2005 | B2 |
6905622 | Padhi et al. | Jun 2005 | B2 |
7052587 | Gibson et al. | May 2006 | B2 |
7090783 | Cui et al. | Aug 2006 | B1 |
7135414 | Matsumura et al. | Nov 2006 | B2 |
7141490 | Yamakazi et al. | Nov 2006 | B2 |
7476573 | Cohen | Jan 2009 | B2 |
7585786 | Goo et al. | Sep 2009 | B2 |
7718254 | Matsumura et al. | May 2010 | B2 |
8053270 | Dimitrov et al. | Nov 2011 | B2 |
8053328 | Cohen | Nov 2011 | B2 |
8075792 | Branz et al. | Dec 2011 | B1 |
8119438 | Nishimoto | Feb 2012 | B2 |
8124535 | Lin et al. | Feb 2012 | B2 |
8193095 | Lin et al. | Jun 2012 | B2 |
8334216 | Lin et al. | Dec 2012 | B2 |
8486843 | Li et al. | Jul 2013 | B2 |
20020068421 | Yamakazi et al. | Jun 2002 | A1 |
20020104552 | Bay | Aug 2002 | A1 |
20020123227 | Winningham et al. | Sep 2002 | A1 |
20020145792 | Jacobson et al. | Oct 2002 | A1 |
20030096113 | Jacobson et al. | May 2003 | A1 |
20030119332 | Kuebelbeck et al. | Jun 2003 | A1 |
20030190812 | Padhi et al. | Oct 2003 | A1 |
20040100594 | Huibers et al. | May 2004 | A1 |
20040100677 | Huibers et al. | May 2004 | A1 |
20040241967 | Yamakazi et al. | Dec 2004 | A1 |
20050056118 | Xia et al. | Mar 2005 | A1 |
20050101153 | Matsumura et al. | May 2005 | A1 |
20050130439 | Goo et al. | Jun 2005 | A1 |
20050137531 | Prausnitz et al. | Jun 2005 | A1 |
20050271805 | Kambe et al. | Dec 2005 | A1 |
20060281333 | Shin et al. | Dec 2006 | A1 |
20060281334 | Shin et al. | Dec 2006 | A1 |
20070121205 | Miles | May 2007 | A1 |
20070148922 | Yamakazi et al. | Jun 2007 | A1 |
20070152234 | Yamamoto et al. | Jul 2007 | A1 |
20070155021 | Zhang et al. | Jul 2007 | A1 |
20070155022 | Yamakawa et al. | Jul 2007 | A1 |
20070184576 | Chang et al. | Aug 2007 | A1 |
20070190326 | Perry et al. | Aug 2007 | A1 |
20070206267 | Tung et al. | Sep 2007 | A1 |
20070247620 | Koo | Oct 2007 | A1 |
20070281249 | Tutt et al. | Dec 2007 | A1 |
20090026070 | Fan et al. | Jan 2009 | A1 |
20090183776 | Kwag et al. | Jul 2009 | A1 |
20090236317 | Yost et al. | Sep 2009 | A1 |
20090293946 | Lin et al. | Dec 2009 | A1 |
20100187123 | Bocarsly et al. | Jul 2010 | A1 |
20100248449 | Hildreth et al. | Sep 2010 | A1 |
20100270263 | Li et al. | Oct 2010 | A1 |
20100270650 | Li et al. | Oct 2010 | A1 |
20110030610 | Kamian et al. | Feb 2011 | A1 |
20110143484 | Lin et al. | Jun 2011 | A1 |
20110303265 | Yuan et al. | Dec 2011 | A1 |
20120024365 | Branz et al. | Feb 2012 | A1 |
20120088372 | Chien et al. | Apr 2012 | A1 |
20120103825 | Oh et al. | May 2012 | A1 |
20120178204 | Toor et al. | Jul 2012 | A1 |
20120225517 | Zhang et al. | Sep 2012 | A1 |
20130052762 | Li et al. | Feb 2013 | A1 |
Number | Date | Country |
---|---|---|
2000261008 | Sep 2000 | JP |
2005183505 | Jul 2005 | JP |
2005277208 | Oct 2005 | JP |
2007305748 | Nov 2007 | JP |
2009209420 | Sep 2009 | JP |
03105209 | Dec 2003 | WO |
2005059985 | Jun 2005 | WO |
2006051727 | May 2006 | WO |
2007083152 | Jul 2007 | WO |
2007025536 | Aug 2007 | WO |
2009117642 | Mar 2009 | WO |
2011060193 | May 2011 | WO |
2011161479 | Dec 2011 | WO |
Entry |
---|
Kelly, N.A., et al. “Design and characterization of a robust photoelectrochemical device to generate hydrogen using solar water splitting,” Intl Journal of Hydrogen Energy, 31 (2006) 1658-1673 Elsevier. |
Koshida, N., et al. “Photoelectrochemical Behavior of n-Type Porous-Si Electrodes,” Japanese Journal of Applied Physics, vol. 25, No. 7, Jul. 1986 1069-1072. |
Li, Y., et al., “Hydrogen generation from photoelectrochemical water splitting based on nanomaterials,” Laser Photonics Rev. 4, No. 4, 517-528 (2010). |
Menna, P., et al., “Porous silicon in solar cells: A review and a description of its application as an AR coating,” Solar Energy Materials and Solar Cells 37 (1995) 13-24. |
Branz et al., “Nanostructured Black Silicon and the Optical Reflectance of Graded-Density Surfaces,” Applied Physics Letters vol. 94, Issue 23, Jun. 2009, pp. 231121 (1-3). |
Yuan,et al., “Efficient Black Sikocon Solar Cell With a Density-Graded Nanoporous Surface; Optical Properties, Performance Limitations, and Design Rules,” Applied Physics Letters vol. 95, Issue 12, Sep. 2009, pp. 123501 (1-3). |
Toor et al.,“Multi-Surface Texture to Improve Blue Response of Nanoporous Black Silicon Solar Cells,” Applied Physics Letters vol. 99, Issue 10, Sep. 2011, pp. 10103501 (1-3). |
Lee, et al., “Extremely Superhydrophobic Surfaces With Micro- and Nanostructures Fabricated by Copper Catalytice Etching,” Langmuir Article, vol. 27, Issue 2, Jan. 18, 2011, pp. 809-814. |
Huang et al., “Metal-Assited Electrochemical Etching of Silicon,” Nanotechnology, vol. 21, Nov. 19, 2010 pp. 465301 (1-6). |
Peng et al., “Fabrication of Single-Crystalline Silicon Nanowires y Scratching a Silicon Surface With Catalytic Metal Particles,” Advanced Functional Materials, vol. 16, Issue 3, Feb. 2006, pp. 387-394. |
Lee et al., “Patterning of Various Silicon Structures Via Polymer Lithography and Catalytic Chemical Etching,” Nanotechnology, vol. 22, Issue 27, Jul. 8, 2011, pp. 275305 (1-6). |
Liu et al., “Efficient SERS Substrates Made by Electroless Silver Deposition Into Patterned Silicon Structures,” Journal of Material Chemistry, vol. 14, Issue 10, Apr. 21, 2004 (1st published on line), pp. 1526-1532. |
Tsujino et al., “Texturization of Multicyrstalline Silicon Wafers for Solar Cells by Chemical Treatment Using Metallic Catalyst,” Solar Energy Materials & Solar Cells, vol. 90, Issue 1, Jan. 2006, pp. 100-110. |
Li et al., “Metal-Assisted Chemical Etching in HF/H2O2 Procedures Porous Silicon,” Applied Physics Letters vol. 77, Issue16, Oct. 2000, pp. 2573-2574. |
Nishioka et al., “Antireflection Subwavelength Structure of Silicon Surface Formed by•Wet Process Using Catalysis of Single Nano-sized Gold Particle,” Solar Energy Materials and Solar Cells, vol. 92, Issue 8, Aug. 2008, pp. 919-922. |
Putnam et al., “10um minority-carrier diffusion lengths in Si Wires snythesized by Cu-catalyzed vapor-liquid-solid growth,” Applied Physics Letters, vol. 95, Issue 16, Oct. 19, 2009, pp. 163116-1-163116-3. |
Kuzuma-Filipek et al., “>16% thin-film epitaxial silicon solar cells on 70-cm2 area with 30-us active layer, porous silicon back reflector, and Cu-based top-contact metallization,” Progress in Photovoltaics: research and applications, vol. 20, Issue 3, May 2012, pp. 350-355. |
Nishioka et al, “Nano-sized Taper Structure Formed by Wet Process Using Catalysis of God Nanoparticle,” School of Material Science, Japan Advanced Institute of Science and Technology, 2007. |
Koynov et al., “Black multi-crystalline silicon solar cells,” Rapid Research Letters, vol. 1, Issue 2, Mar. 2007, pp. R53-R55. |
Koynov et al, “Black nonreflecting silicon surfaces for solar cells,” Applied Physics Letter, vol. 88, Issue 30, May 2006, pp. 203107-1. |
PCT/US09/37776 International Search Report and Written Opinion dated Sep. 28, 2009. |
PCT/US09/37776 International Preliminary Report on Patentability dated Sep. 21, 2010. |
PCT/US13/30257 International Search Report and Written Opinion dated May 16, 2013. |
Japanese Application No. 500974/2011 Office Action dated Mar. 13, 2012 with English translation. |
Chinese Application No. 200980110274.3 Office Action dated Dec. 25, 2012 with English translation. |
Chinese Application No. 200980110274.3 Office Action dated Jun. 27, 2013 with English translation. |
Chinese Application No. 200980110274.3 Office Action dated Jul. 10, 2012 with English translation. |
Chinese Application No. 200980110274.3 Office Action dated Dec. 23, 2011 with English translation. |
Barton et al., “Selective Solar-Driven Reduction of CO2 to Methanol Using a Catalyzed p-GaP Based Photoelectrochemical Cell,” J. Am. Chem. Soc., vol. 130, Issue 20, May 21, 2008, pp. 6342-6344. |
Li et al., “Solution-Processable Graphene Oxide as an Efficient Hole Transport Layer in Polymer Solar Cells,” ACSNANO, vol. 4, Issue 6, Jun. 22, 2010, pp. 3169-3174. |
Roy et al., “Toward Solar Fuels: Photocatalytic Conversion of Carbon Dioxide to Hydrocarbons,” ACSNAMO vol. 4, Issue 3, Mar. 23, 2010, pp. 1259-1278. |
Yu et al., “Effective Utilization of Visible Light (Including λ > 600 nm) in Phenol Degradation with p-Silicon Nanowire/TiO2 Core/Shell Heterojunction Array Cathode,” Environmental Science & Technology vol. 43, Issue 20, Oct. 15, 2009, pp. 7849-7855. |
Number | Date | Country | |
---|---|---|---|
20120103825 A1 | May 2012 | US |
Number | Date | Country | |
---|---|---|---|
61407822 | Oct 2010 | US |
Number | Date | Country | |
---|---|---|---|
Parent | 12053372 | Mar 2008 | US |
Child | 13284861 | US | |
Parent | 12053445 | Mar 2008 | US |
Child | 12053372 | US |