A new thermodynamic description of pure silicon from 0 K at 1 bar
Source abstract
Abstract
Third-generation Calphad models have been applied to describe the thermodynamic properties of pure crystalline and liquid/amorphous silicon. The extended Planck-Einstein model was used to evaluate the standard entropies at 298.15 K; the values for the amorphous phase were reported for the first time. A new approach was proposed for the evaluation of parameters for the two-state liquid model for pure silicon. In the majority of previous 3rd-generation CALPHAD assessments it was proposed to fix the enthalpy or entropy parameters of the ΔGdif equation, which could result in the inability of the model to describe the thermodynamics of the fusion of the pure elements. The alternative approach is to derive these parameters from the fixed fraction of translational (liquid-like) atoms at the fusion temperature and to compare the results with the heat capacity data. The new model representation of the liquid/amorphous phase allows us to obtain a better description of the experimental data for the isobaric heat capacity of the liquid phase.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Thermal properties of materials · Silicon and Solar Cell Technologies · Material Dynamics and Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (82)
Show source-provided references
1. Cox · 1989
2. NIST-JANAF thermochemical tables
3. Gurvich · 1991 · 2
4. Stull · 1956
5. Hultgren · 1973
6. Thermodynamic properties of iron and silicon” J10.1063/1.555761 ↗
7. Kelley · 1960159
8. Corruccini · 1960 · vol. 21
9. SGTE data for pure elements10.1016/0364-5916(91)90030-N ↗
10. Group 1: heat capacity models for crystalline phases from 0 K to 6000 K, Calphad
11. Group 2: extrapolation of the heat capacity in liquid and amorphous phases
12. Modeling of thermodynamic properties for Bcc, Fcc, liquid, and amorphous iron10.1007/s11669-001-0027-9 ↗
13. On the third-generation Calphad databases: an updated description of Mn10.1002/pssb.201552203 ↗
14. Thermodynamic evaluation of pure Co for the third generation of thermodynamic databases10.1002/pssb.201600231 ↗
15. A thermodynamic description of data for pure Pb from 0 K using the expanded Einstein model for the solid and the two state model for the liquid phase10.1016/j.calphad.2017.12.008 ↗
16. A new description of pure C in developing the third generation of Calphad databases10.1007/s11669-018-0679-3 ↗
17. Thermodynamic properties of Tin: Part I experimental investigation, Ab-Initio modelling of α-, β-phase and a thermodynamic description for pure metal in solid and liquid state from 0 K10.1016/j.calphad.2019.02.003 ↗
18. Description of thermodynamic properties of pure gold in the solid and liquid states from 0 K10.1016/j.calphad.2019.101724 ↗
19. An insight into using DFT data for Calphad modeling of solid phases in the third generation of Calphad databases, a case study for Al10.1016/j.calphad.2019.02.008 ↗
20. Implementation of the extended Einstein and two-state liquid model for thermodynamic description of pure SiO2 at 1 atm10.1016/j.calphad.2019.101716 ↗
21. Thermodynamic modelling of the Ca–O system including 3rd generation description of CaO and CaO210.1016/j.calphad.2020.101764 ↗
22. Third-generation CALPHAD assessment of pure GeO2 at 1 atm10.1016/j.calphad.2021.102299 ↗
23. CALPHAD modeling of the glass transition for a pure substance, coupling thermodynamics and relaxation kinetics10.1016/j.calphad.2020.102238 ↗
24. A thermodynamic assessment of the binary Fe-Mn system for the third generation of Calphad databases10.1016/j.calphad.2018.11.011 ↗
25. Use of third generation data for the elements to model the thermodynamics of binary alloy systems: Part 1–The critical assessment of data for the Al-Zn system10.1016/j.calphad.2019.101723 ↗
26. The heat capacity of pure silicon and germanium and properties of their vibrational frequency spectra10.1080/14786435908233340 ↗
27. Standard heat capacities, entropies, and enthalpies of silicon, chromium, and chromium silicides
28. Specific heat of germanium and silicon at low temperatures10.1103/PhysRev.113.33 ↗
29. Dennison D. H., Institute for Atomic Research, Ames, Iowa -unpublished work, 1963.
30. Kantor · 1960 · 358
31. Measurements of the heat content of silicon between 1200° and 1550
32. Timofeev · 1999
33. Specific heat capacity measurement of single-crystalline silicon as new reference material10.1143/JJAP.50.11RG01 ↗
34. Development of low temperature specific heat capacity standard10.2221/jcsj.50.314 ↗
35. National standard and new reference material for specific heat capacity measurements10.2116/analsci.20SAR13 ↗
36. Untersuchungen über die spezifische Wärme bei tiefen Temperaturen
37. The heat capacity of silicon at low temperatures10.1021/ja01369a017 ↗
38. The atomic heat of silicon below 100° K10.1103/PhysRev.88.398 ↗
39. Atomic heat of silicon and germanium at very low temperatures
40. The specific heats of a number of semiconductors
41. Effect of plastic deformation on the specific heat of silicon10.1134/S0018151X19010139 ↗
42. Thermal conductivity of silicon from 300 to 1400 K10.1103/PhysRev.130.1743 ↗
43. Effect of impurity doping on a reaction-bonded silicon carbide
44. High‐temperature specific heats of Ge, Si, and Ge‐Si alloys10.1063/1.1713926 ↗
45. Molar heat capacity and heat of fusion of silicon tetraiodide10.2320/matertrans1960.6.229 ↗
46. The thermophysical properties (heat capacity and thermal expansion) of single-crystal silicon10.1023/A:1017562709942 ↗
47. Heat capacity of silicon in the range 350–770 K10.1034/j.1600-0692.2001.300606.x ↗
48. Calorimetric studies of the heat capacity and relaxation of amorphous Si prepared by electron beam evaporation10.1063/1.354329 ↗
49. A calorimetric study assisted with first principle calculations of specific heat for Si-Ge alloys within a broad temperature range10.1088/0256-307X/35/12/126501 ↗
50. Heat content and heat capacity of pure silicon at high temperatures
51. Measurement of high temperature heat content of silicon by drop calorimetry10.1023/A:1020609517891 ↗
52. Die spezifische wärme des kohlenstoffs, siliziums und siliziumkarbids bei hohen temperature10.1002/andp.19233750405 ↗
53. Messungen der spezifischen Wärme des Silbers und des Diamanten im Gebiete hoher Temperaturen10.1002/andp.19263851604 ↗
54. Heat capacity of diamond at high temperatures10.1063/1.1701288 ↗
55. Messungen von spezifischen Wärmen bei tiefen Temperaturen
56. Körber · KWI für Eisenforschung · 1937 · 19 · 131
57. The thermochemistry of the Zirconium-Silicon system
58. Specific heat of amorphous silicon at low temperatures10.1016/0038-1098(84)90589-1 ↗
59. Thermal conductivity and specific heat of thin-film amorphous silicon10.1103/PhysRevLett.96.055902 ↗
60. Excess specific heat in evaporated amorphous silicon10.1103/PhysRevLett.110.135901 ↗
61. Thermal properties of a− Si: H at low temperatures10.1103/PhysRevB.29.3744 ↗
62. Melting point of high-purity silicon10.1038/142478a0 ↗
63. Noncontact modulated laser calorimetry of liquid silicon in a static magnetic field10.1063/1.2966455 ↗
64. Noncontact modulated laser calorimetry in a dc magnetic field for stable and supercooled liquid silicon10.1088/0957-0233/21/2/025901 ↗
65. Measurements of thermophysical properties of molten silicon by a high-temperature electrostatic levitator10.1007/BF02575175 ↗
66. Thermophysical properties measurement of molten silicon by high-temperature electrostatic levitator: density, volume expansion, specific heat capacity, emissivity, surface tension and viscosity10.1016/S0022-0248(99)00437-6 ↗
67. Measurement of thermophysical properties of molten silicon using an upgraded electrostatic levitator10.1016/S0022-0248(03)01430-1 ↗
68. Specific heat capacity and hemispherical total emissivity of liquid Si measured in electrostatic levitation10.1063/1.1599623 ↗
69. Wetting behavior and reactivity of molten silicon with h-BN substrate at ultrahigh temperatures up to 1750 °C10.1007/s11665-017-3114-8 ↗
70. Thermophysical properties and atomic structure of liquid Si-Ge alloys10.1016/j.matchemphys.2018.09.043 ↗
71. Properties of crystalline silicon
72. Thermodynamics and phase stability in the Si–O system10.1016/j.jnoncrysol.2003.12.057 ↗
73. Measurements of temperature and heat of phase transformation of pure silicon by using differential scanning calorimetry10.1007/s10973-019-08716-5 ↗
74. Chimie Physique-Densite du Silicium, du Germanium, de Lantimoine et du Bismuth a l’etat Liquide
75. von Wartenberg · Z. Anorg. Allg. Chem. · 1956 · 283 · 37210.1002/zaac.19562830138 ↗
76. Universal method for approximating the standard thermodynamic functions of solids10.1021/je400316m ↗
77. CpFit program for approximation of heat capacities and enthalpies by Einstein-Planck functions sum10.1016/j.calphad.2018.02.001 ↗
78. A method for handling the extrapolation of solid crystalline phases to temperatures far above their melting point10.1016/j.calphad.2020.101737 ↗
79. Thermo-Calc & DICTRA, computational tools for materials science10.1016/S0364-5916(02)00037-8 ↗
80. Thermodynamics of supercooled liquids and their glass transition10.1080/00319108808078586 ↗
81. Thermodynamic modelling of liquids: CALPHAD approaches and contributions from statistical physics10.1002/pssb.201350149 ↗
82. Analysis of thermodynamic functions of silicon at high temperatures10.1007/BF02755921 ↗