Cu–Ga–In thermodynamics: experimental study, modeling, and implications for photovoltaics
Source abstract
Abstract
Both experimental measurements and assessment of phase equilibria are reported in the Cu–Ga–In material system, which is an important constituent in growth of the thin film photovoltaic absorber Cu(In,Ga)Se2 (CIGS). Characterization of four different alloys using inductively coupled plasma atomic emission spectroscopy, X-ray diffraction, scanning electron microscopy, energy dispersive spectroscopy, differential thermal analysis, and differential scanning calorimetry has been conducted, and high-temperature equilibration studies have been performed on 2 of those. The new data are qualitatively consistent with the previous nonequilibrium thin film Cu–Ga–In observations. A thermodynamic assessment of the ternary system has also been performed using a CALPHAD approach after re-assessing the Cu–In constituent. The model fits the ternary data well in addition to the Cu–Ga, Cu–In, and Ga–In binary data. Practical applications of the model to metal precursors in a CIGS selenization process are discussed. Using the assessed parameters, the model predicts that at temperatures typically used in CIGS processes, Cu–Ga–In films should undergo equilibrium phase transformations. Slight changes in composition are found to determine whether or not these transitions occur, and at what temperature. Equilibrated precursor films are calculated to have high γ-Cu9(Ga,In)4 phase content, where reducing equilibration and γ-Cu9(Ga,In)4 formation have previously been found to improve photovoltaic performance.
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OpenAlex topics: Chalcogenide Semiconductor Thin Films · nanoparticles nucleation surface interactions · Chemical Thermodynamics and Molecular Structure
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References (89)
Show source-provided references
1. Chen G, Ma J, Geng Z (2005) Fabrication and properties of lead-free Sn–Ag–Cu–Ga solder alloy. Mater Sci Forum 475–479:1747–1750. doi: 10.4028/http://www.scientific.net/MSF.475-479.174710.4028/www.scientific.net/MSF.475-479.1747 ↗
2. Gierlotka W (2012) Thermodynamic description of the quaternary Ag–Cu–In–Sn system. J Electron Mater 41:86–108. doi: 10.1007/s11664-011-1757-z10.1007/s11664-011-1757-z ↗
3. Jackson P, Hariskos D, Wuerz R et al (2015) Properties of Cu(In,Ga)Se2 solar cells with new record efficiencies up to 21.7%. Phys Status Solidi (RRL) Rapid Res Lett 9:28–31. doi: 10.1002/pssr.20140952010.1002/pssr.201409520 ↗
4. Kim K, Hanket GM, Huynh T, Shafarman WN (2012) Three-step H2Se/Ar/H2S reaction of Cu–In–Ga precursors for controlled composition and adhesion of Cu(In, Ga)(Se, S)2 thin films. J Appl Phys 111:8371010.1063/1.4704390 ↗
5. Anderson TJ, Ansara I (1991) The Ga-In (gallium-indium) system. J Phase Equilib 12:64–7210.1007/BF02663677 ↗
6. Andrews KW, Hume-Rothery W (1941) On the a/b brass type of equilibrium. Proc Royal Soc Lond Ser A 178:464–47310.1098/rspa.1941.0068 ↗
7. Bahari Z, Dichi E, Legendre B (1999) Heat content and heat capacity of Cu0.7In0.3 from 298 to 1273 K. Z Metallkd 90:55–59
8. Bahari Z, Dichi E, Legendre B, Dugué J (2003) The equilibrium phase diagram of the copper–indium system: a new investigation. Thermochim Acta 401:131–13810.1016/S0040-6031(02)00500-2 ↗
9. Bhattacharya D, Masson B (1974) Thermodynamic properties of a Cu–In alloys by the method of atomic absorption. Metall Trans 5:1357–136110.1007/BF02646621 ↗
10. Bolcavage A, Chen SW, Kao CR, Chang YA, Romig AD (1993) Phase equilibria of the Cu–In system I: Experimental investigation. J Phase Equilib 14:14–21. doi: 10.1007/bf0265215710.1007/BF02652157 ↗
11. Cao S, Huang S, Chu M, Yue Q, Shen J (2007) Thermodynamic optimization of Cu–In system. Xiyou Jinshu 31:807
12. Chatterjee SC, Gupta MP (1975) Lattice parameters of some binary and ternary copper alloys. J Appl Crystallogr 8:492–49310.1107/S0021889875011041 ↗
13. Che GC, Ellner M (1992) Powder crystal data for the high-temperature phases Cu4In, Cu9In4(h) and Cu2In(h). Powder Diffr 7:107–10810.1017/S0885715600018340 ↗
14. Chen JS, Kolawa E, Nicolet MA, Ruiz RP (1991) Cu/In deposited at room temperature: morphology, phases and reactions. Solar Cells 30:451–45810.1016/0379-6787(91)90077-3 ↗
15. Corderoy DJH, Honeycombe RWK (1963–1964) Age-hardening in copper-base indium alloys. J Inst Met 92: 65–69
16. De M (1969) Thermal expansion of some Cu- and Ag-base alloys. Indian J Phys 43:367–376
17. Dichi E, Legendre B (2000) Enthalpy of formation of Cu0.70In0.30 and Cu0.64In0.36 phases by solution calorimetry. Z Metallkd 91:47–50
18. Elding-Pontén M, Stenberg L, Lidin S (1997) The h-phase field of the Cu–In system. J Alloys Compd 261:162–17110.1016/S0925-8388(97)00215-6 ↗
19. Fournelle RA, Clark JB (1972) The genesis of the cellular precipitation reaction. Metall Trans 3:2757–276710.1007/BF02652842 ↗
20. Hertz J, El Aissaoui K, Bouirden L (2002) A thermodynamic optimization of the Cu–In system. J Phase Equilib 23:473–47910.1361/105497102770331163 ↗
21. Hume-Rothery W, Raynor GV, Reynolds PW, Packer HK (1940) The constitution and structure of alloys of intermediate composition in the systems copper–indium, copper–aluminum, copper–germanium, silver–aluminum, and silver–germanium. J Inst Met 66:209–239
22. Jacob KT, Alcock CB (1973) Activity of indium in a-solid solutions of Cu + In, Au + In and Cu + Au + In alloys. Acta Metall 21:1011–101610.1016/0001-6160(73)90157-0 ↗
23. Jain KC, Ellner M, Schubert K (1972) Über die Phasen in der Nähe der Zusammensetzung Cu64In36. Zeitschrift für Metallkunde 63:456–461
24. Jones RO, Owen EA (1953–1954) X-ray determination of the alpha-phase boundary of the copper–indium alloy system. J Inst Met 82:445–448
25. Kang T, Castanet R (1977) Étude thermodynamique du systéme binaire cuivre-indium I. Étude calorimétrique. J Less Common Met 51(1):125–13510.1016/0022-5088(77)90180-1 ↗
26. Kang T, Kehiaian HV, Castanet R (1976) Étude thermodynamique du systéme binaire cuivre-indium I. Étude calorimétrique. J Calorim Anal Therm 7:1
27. Kao CR, Bolcavage A, Chen S-L, Chen SW, Chang YA, Romig AD (1993) Phase equilibria of the Cu–In system II: thermodynamic assessment and calculation of phase diagram. J Phase Equilib 14:22–30. doi: 10.1007/bf0265215810.1007/BF02652158 ↗
28. Keppner W, Klas T, Körner W, Wesche R, Schatz G (1985) Compound formation at Cu–In thin-film interfaces detected by perturbed g-g angular correlations. Phys Rev Lett 54:237110.1103/PhysRevLett.54.2371 ↗
29. Kirchner HOK, Mellor BG, Chadwick GA (1978) A calorimetric determination of the interfacial enthalpy of Cu–In and Cu–Al lamellar eutectoids. Acta Metall 26:1023–103110.1016/0001-6160(78)90052-4 ↗
30. Kleppa OJ (1956) Heat of formation of solid and liquid binary alloys of copper with cadmium, indium, tin and antimony at 450°. J Phys Chem 60:852–858. doi: 10.1021/j150541a00510.1021/j150541a005 ↗
31. Knott S, Mikula A (2006) Calorimetric investigation of the binary Cu–In system. Int J Mater Res 97:1098–110110.3139/146.101343 ↗
32. Koster AS, Wolff LR, Visser GJ (1980) Structure of copper–indium Cu7In3. Acta Crystallogr Sect B 36:3094–3096. doi: 10.1107/s056774088001088610.1107/S0567740880010886 ↗
33. Kutsenok IB, Geiderikh VA, Gerasimov YI, Yalkanen KK (1983) Study of the thermodynamic properties of indium–copper alloys by an instantaneous EMF recording method. Russ J Phys Chem 57:1639–1641
34. Li J-B, Ji L, Liang JK et al (2008) A thermodynamic assessment of the copper–gallium system. Calphad 32:447–453. doi: 10.1016/j.calphad.2008.03.00610.1016/j.calphad.2008.03.006 ↗
35. Lidin S, Larsson A-K (1995) A survey of superstructures in intermetallic NiAs-Ni2In-type phases. J Solid State Chem 118:313–32210.1006/jssc.1995.1350 ↗
36. Lidin S, Stenberg L, Elding-Pontén M (1997) The B8 type structure of Cu7In3. J Alloys Compd 255:221–22610.1016/S0925-8388(96)02878-2 ↗
37. Liu HS, Liu XJ, Cui Y et al (2002) Thermodynamic assessment of the Cu–In binary system. J Phase Equilib 23:409–41510.1361/105497102770331352 ↗
38. Liu X, Liu H, Ohnuma I et al (2001) Experimental determination and thermodynamic calculation of the phase equilibria in the Cu–In–Sn system. J Electron Mater 30:1093–110310.1007/s11664-001-0135-7 ↗
39. Masson DB, Bhattacharya D (1975) The effect of excess entropy on the activity coefficient of indium in a Cu–In alloys. Scripta Metall 9:207–21010.1016/0036-9748(75)90594-3 ↗
40. Mizutani U, Noritake T, Ohsuna T, Takeuchi T (2010) Hume-Rothery electron concentration rule across a whole solid solution range in a series of gamma-brasses in Cu–Zn, Cu–Cd, Cu–Al, Cu–Ga, Ni–Zn and Co–Zn alloy systems. Philos Mag 90:1985–2008. doi: 10.1080/1478643090324632010.1080/14786430903246320 ↗
41. Muschik T, Hehenkamp T (1987) Fest-flüssig-Gleichgewichte auf der Cu-Seite des Systems Cu–In. Metallkd 78:358–361
42. Orbey N, Birkmire R, Russell T, Jones G (2000) Copper–indium alloy transformations. J Phase Equilib 21:509–513. doi: 10.1007/s11669-000-0018-210.1007/s11669-000-0018-2 ↗
43. Owen EA, Morris DP (1949–1950) The application of X-ray methods to the determination of phase boundaries in metallurgical equilibrium diagrams. J Inst Met 76(2):145–168
44. Owen EA, O’Donnell Roberts EA (1952–1953) The solubility of indium in copper. J Inst Met 81:479–480
45. Owen EA, Roberts EW (1939) XXIX Factors affecting the limit of solubility of elements in copper and silver. Philos Mag Ser 7 27:294–327. doi: 10.1080/1478644390856223010.1080/14786443908562230 ↗
46. Piao S, Lidin S (2008) A new compound in the Cu–In system—the synthesis and structure of Cu10In7. Zeitschrift für anorganische und allgemeine Chemie 634:2589–2593. doi: 10.1002/zaac.20080027510.1002/zaac.200800275 ↗
47. Rajasekharan TP, Schubert K (1981) Kristallstruktur von Cu11In9. Z Metallkd 72:275–278
48. Ramos de Debiaggi S, Cabeza GF, Toro CD, Monti AM, Sommadossi S, Guillermet AF (2011) Ab initio study of the structural, thermodynamic and electronic properties of the Cu10In7 intermetallic phase. J Alloys Compd 509:3238–324510.1016/j.jallcom.2010.12.093 ↗
49. Ramos de Debiaggi S, Deluque Toro C, Cabeza GF, Fernández Guillermet A (2012) Ab initio comparative study of the Cu–In and Cu–Sn intermetallic phases in Cu–In–Sn alloys. J Alloys Compd 542:280–29210.1016/j.jallcom.2012.06.138 ↗
50. Reddy SR, Hajra JP (1993) Thermodynamics and phase equilibria in the system Ga-In using multi-parameter functions. Calphad 17:151–15610.1016/0364-5916(93)90015-4 ↗
51. Reynolds J, Wiseman WA, Hume-Rothery W (1951–1952) The equilibrium diagram of the system copper–indium in the region 25–35 at.% indium. J Inst Met 80:637–640
52. Stirling PH, Raynor GV (1955–1956) The copper-rich alloys of the system copper–aluminum–indium. J Inst Met 84:57–65
53. Straumanis ME, Yu LS (1969) Lattice parameters, densities, expansion coefficients and perfection of structure of Cu and of Cu–In a phase. Acta Crystallogr A 25:676–68210.1107/S0567739469001549 ↗
54. Subramanian PR, Laughlin DE (1989) The Cu–In (Copper–Indium) system. J Phase Equilib 10:554–568. doi: 10.1007/bf0288241510.1007/bf02882415 ↗
55. Vinokurova GA, Geiderikh VA (1976) Thermodynamic properties of indium–copper alloys. Russ J Phys Chem 50:1661
56. Wallbrecht PC, Blachnik R, Mills KC (1981) The heat capacity and enthalpy of some hume-rothery phases formed by copper, silver and gold. Part III. Cu + Ga, Ag + Ga, Au + Ga, Cu + In, Ag + In and Au + In systems. Thermochim Acta 48:69–8210.1016/0040-6031(81)87023-2 ↗
57. Weibke F, Eggers H (1934) Das Zustandsdiagramm des Systems Kupfer-Indium. Zeitschrift für anorganische und allgemeine Chemie 220:273–29210.1002/zaac.19342200308 ↗
58. Hanket GM, Shafarman WN, McCandless BE, Birkmire RW (2007) Incongruent reaction of Cu–(InGa) intermetallic precursors in H2Se and H2S. J Appl Phys 102(07):492210.1063/1.2787151 ↗
59. Kim WK, Shen J, Chu M, Jung JH, Anderson TJ (2012) Prediction of the Cu–Ga–In ternary phase diagram. J Nanoelectron Optoelectron 7:425–42910.1166/jno.2012.1366 ↗
60. Purwins M, Enderle R, Schmid M et al (2007) Phase relations in the ternary Cu–Ga–In system. Thin Solid Films 515:5895–589810.1016/j.tsf.2006.12.090 ↗
61. Dinsdale AT (1991) SGTE data for pure elements. Calphad 15:317–42510.1016/0364-5916(91)90030-N ↗
62. Schmid-Fetzer R, Andersson D, Chevalier PY et al (2007) Assessment techniques, database design and software facilities for thermodynamics and diffusion. Calphad 31:38–52. doi: 10.1016/j.calphad.2006.02.00710.1016/j.calphad.2006.02.007 ↗
63. Lukas HL, Fries SG, Sundman B (2007) Computational thermodynamics—the calphad method. Cambridge University Press, Cambridge10.1017/CBO9780511804137 ↗
64. Hillert M, Jansson B, Sundman B, Ågren J (1985) A two-sublattice model for molten solutions with different tendency for ionization. Metall Mater Trans A 16:261–266. doi: 10.1007/bf0281530710.1007/BF02816052 ↗
65. Redlich O, Kister AT (1948) Algebraic representation of thermodynamic properties and the classification of solutions. Ind Eng Chem 40:345–34810.1021/ie50458a036 ↗
66. Brummer A, Honkimäki V, Berwian P, Probst V, Palm J, Hock R (2003) Formation of CuInSe2 by the annealing of stacked elemental layers–analysis by in situ high-energy powder diffraction. Thin Solid Films 437:297–30710.1016/S0040-6090(03)00685-0 ↗
67. Gupta A, Isomura S (1998) Precursor modification for preparation of CIS films by selenization technique. Solar Energy Mater Solar Cells 53:385–40110.1016/S0927-0248(98)00039-7 ↗
68. Gupta A, Shirakata S, Isomura S (1994) Studies on CuIn precursor for the preparation of CuInSe2 thin films by the selenization technique. Solar Energy Mater Solar Cells 32:137–14910.1016/0927-0248(94)90299-2 ↗
69. Prepelita P, Medianu R, Iacomi F, Sandu I (2011) Physico-chemical properties of CuInGa-ZnS heterostructure deposited. Rev Chim 62:905–907
70. Alberts V (2007) A comparison of the material and device properties of homogeneous and compositional-graded Cu(In, Ga)(Se, S)2 chalcopyrite thin films. Semicond Sci Technol 22:58510.1088/0268-1242/22/6/001 ↗
71. Hanket GM, Kamada R, Kim WK, Shafarman WN (2008) Effect of reaction temperature on Cu(InGa)(SeS)2 formation by a sequential H2Se/H2S precursor reaction process. Photovoltaic Specialists Conference (PVSC), 33rd IEEE: 1. Doi: 10.1109/pvsc.2008.492247010.1109/pvsc.2008.4922470 ↗
72. Huynh T, Buchanan W, Kim K, McCandless B, Shafarman W, Birkmire R (2011) Cu–In–Ga metal precursors sputter deposited from a single ternary target for Cu(lnGa)(SeS)2 film formation. Photovoltaic Specialists Conference (PVSC), 37th IEEE: 382. Doi: 10.1109/pvsc.2011.618597410.1109/pvsc.2011.6185974 ↗
73. Krishnan R (2012) Rapid routes for synthesis of CIGS absorbers. Dissertation, University of Florida
74. Chen GS, Yang JC, Chan YC, Yang LC, Huang W (2009) Another route to fabricate single-phase chalcogenides by post-selenization of Cu–In–Ga precursors sputter deposited from a single ternary target. Solar Energy Mater Solar Cells 93:1351–135510.1016/j.solmat.2009.02.014 ↗
75. Haug V, Klugius I, Friedlmeier TM, Quintilla A, Ahlswede E (2011) Cu(In, Ga)Se2 thin-film solar cells based on a simple sputtered alloy precursor and a low-cost selenization step. J Photon Energy 1:01800210.1117/1.3659500 ↗
76. Su C-Y, Ho W-H, Lin H-C, Nieh C-Y, Liang S-C (2011) The effects of the morphology on the CIGS thin films prepared by CuInGa single precursor. Solar Energy Mater Solar Cells 95:261–26310.1016/j.solmat.2010.04.072 ↗
77. Song HK, Jeong JK, Kim HJ, Kim SK, Yoon KH (2003) Fabrication of CuIn1−xGaxSe2 thin film solar cells by sputtering and selenization process. Thin Solid Films 435:186–19210.1016/S0040-6090(03)00350-X ↗
78. Keene BJ (1993) Review of data for the surface tension of pure metals. Int Mater Rev 38:157–19210.1179/imr.1993.38.4.157 ↗
79. Muzzillo CP, Mansfield LM, DeHart C, et al (2015) Differences between CuGa/In and Cu/Ga/In films for selenization. Photovoltaic Specialist Conference (PVSC), 2015 IEEE 42nd: in press10.1109/PVSC.2015.7356374 ↗
80. Muzzillo CP, Mansfield LM, Dehart C, et al (2014) The effect of Ga content on the selenization of co-evaporated CuGa/In films and their photovoltaic performance. Photovoltaic Specialist Conference (PVSC), 2014 IEEE 40th: 1649. Doi: 10.1109/PVSC.2014.692523610.1109/PVSC.2014.6925236 ↗
81. Mainz R, Weber A, Rodriguez-Alvarez H, et al (2014) Time-resolved investigation of Cu(In,Ga)Se2 growth and Ga gradient formation during fast selenisation of metallic precursors. Progress in Photovoltaics: Research and Applications in press. Doi: 10.1002/pip.253110.1002/pip.2531 ↗
82. Kim WK, Hanket GM, Shafarman WN (2011) Ga homogenization by simultaneous H2Se/H2S reaction of Cu–Ga–In precursor. Solar Energy Mater Solar Cells 95:235–23810.1016/j.solmat.2010.04.050 ↗
83. Kushiya K, Shimizu A, Yamada A, Konagai M (1995) Development of high-efficiency CuInxGa1−xSe2 thin-film solar cells by selenization with elemental Se vapor in vacuum. Jpn J Appl Phys 34:54–6010.1143/JJAP.34.54 ↗
84. Klenk M, Schenker O, Alberts V, Bucher E (2001) Control of two-step growth processes of chalcopyrite thin films by X-ray fluorescence spectroscopy. Appl Surf Sci 173:62. doi: 10.1016/S0169-4332(00)00876-X10.1016/S0169-4332(00)00876-X ↗
85. Berger LI, Strel’chenko SS, Bondar SA, Molodyk AD, Balanevskaya AE, Levedev VV (1969) дaвлeниe диccoциaции двoйныx пoлyпpoвoдникoвыx coeдинeний типa BIII2CVI3. Izvestiya Akademii nauk SSSR. Neorg Mater 5:872
86. Brebrick RF, Su C-H (2002) Partial pressures for several In-Se compositions from optical absorbance of the vapor. J Phase Equilib 23:397–408. doi: 10.1361/10549710277033134310.1361/105497102770331343 ↗
87. Colin R, Drowart J (1968) Mass spectrometric determination of dissociation energies of gaseous indium sulphides, selenides and tellurides. Trans Faraday Soc 64:2611–2621. doi: 10.1039/tf968640261110.1039/tf9686402611 ↗
88. Greenberg JH, Borjakova VA, Shevelkov VF (1973) Thermodynamic properties of In2Se. J Chem Thermodyn 5:233–237. doi: 10.1016/S0021-9614(73)80083-710.1016/S0021-9614(73)80083-7 ↗
89. Piacente V, Bardi G, Di Paolo V, Ferro D (1976) The vapour pressure over Ga2S2 and Ga2Se2. J Chem Thermodyn 8:391–401. doi: 10.1016/0021-9614(76)90080-X10.1016/0021-9614(76)90080-X ↗