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The role of entropy in polytypism of SiC and ZnS

Published/Copyright: July 28, 2010
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Zeitschrift für Kristallographie - Crystalline Materials
From the journal Zeitschrift für Kristallographie - Crystalline Materials Volume 210 Issue 7

Abstract

The ANNNI model (Axial Next-Nearest-Neighbor Ising model), as developed for the explanation of polytypism in magnetic structures, was the first to introduce entropy contributions to free energies of magnetic polytypes. Phonon and other contributions to entropy have recently been included, in order to interpret some of the polytypes of SiC and ZnS as thermodynamically stable structures. It is shown in this paper that polytypism is strongly dependent on crystal size in these cases. Hence disorder has to be included into the discussion of equilibrium conditions. Phonon and vibrational entropy seem to play the predominant role in the ordering process during crystal growth. Consequently, kinetics is also an important factor in interpreting the distribution laws of polytypic structures. The existence of certain branches may be explained with the aid of size degeneracies and size instabilities as defined in this paper.

Published Online: 2010-7-28
Published in Print: 1995-7-1

© 2015 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München

Articles in the same Issue

  1. Ab-initio structure determination of zeolite RUB-10 from low resolution X-ray powder diffraction data
  2. The role of entropy in polytypism of SiC and ZnS
  3. On the structure of Na5Mn3F14
  4. Effect of hydrostatic pressures on the crystal structure of InS
  5. Al13−x(Co1−yNiy)4, a new approximant of the decagonal quasicrystal in the Al–Co–Ni system
  6. The structure of [(CH3)3(C6H5)N]2ZnCl4 at room temperature
  7. Color quasilattice in decagonal Al65Cu20Co15 phase
  8. Re-evaluation of the crystal structure of lithium zirconium nitride, Li2ZrN2, by neutron powder diffraction
  9. Structure of 8-methylene-oleandomycin-9-oxime dihydrate
  10. Structure of tetrakis(dimethylamino)ethene (TDAE) at low temperatures
  11. Crystal structure of lithium cobalt molybdate, Li2Co2(MoO4)3
  12. Crystal structure of tristrontium phosphide borate, Sr3P(BO3)
  13. Crystal structure of sodium potassium antimonide triantimonidoaluminate, Na3K6Sb(AlSb3)
  14. Crystal structure of dipotassium lithium diarsenidogallate, K2LiGaAs2
  15. Crystal structure of sodium tetrabarium dinitridoborate, NaBa4(BN2)3
  16. Crystal structure of calcium copper phyllo-decaoxotetrasilicate, CaCuSi4O10
  17. Crystal structure of pantolactonyl ester of 2-oxo-3-keto-7-endophenylthio-bicyclo-[2,2,2]-oct-5-en-4-carboxylic acid, C20H20O6S
  18. Crystal structure of 3α,17α,21-trihydroxy-5β-pregnane-11,20-dione hemihydrate (tetrahydrocortisone), C21H32O5(H2O)0.5
  19. Crystal structure of morpholinium β-octamolybdate tetrahydrate, (C4H10NO)4(Mo8O26)(H2O)4
  20. Crystal structure of phyllo-bis(pyrazine-N,N′-dioxide)diiodocadmium, (C4H4N2O2)2(CdI2)
  21. Crystal structure of μ-chloro-μ-t-butoxylato-μ-N-trimethylphosphanimine-bis(tris(t-butoxylato)-hafnium), (OC(CH3)3)3Hf(Cl)(OC(CH3)3)(NHP(CH3)3)Hf(OC(CH3)3)3
  22. Crystal structure of di-μ-chloro-bis(hydrogen-bis(diphenylphosphinito-P, P′)-palladium) ethylene chloride, (Pd2Cl2((C6H5)2POHOP(C6H5)2)2)CH2Cl2
  23. Crystal structure of tetra-μ-chloro-bis(1-ethyl-tetramethylcyclopentadienyl-tungsten) tetrahydrofuran solvate, (C11H17WCl2)2(C4H8O)2
  24. Crystal structure of di-chloro-bis(nitrato-(4,4′-dimethyl-2,2′-bipyridine)copper(II)), [CuCl(NO3)(C12H12N2)]2
  25. Crystal structure of N-methyl-anti-7-carboethoxy-2,3-diazabicyclo[2.2.1]hept-5-ene-2,3-carboximide, C12H15N3O4
  26. Crystal structure of bis[2-cyan-1-methoxy-2-(1-phenyl-1H-tetrazol-5-yl)-1-ethen-1-olato-O, N4′]copper(II), C22H16N10O4Cu
  27. Crystal structure of 4-benzoyl-[2.2]paracyclophane, C23H20O
  28. Crystal structure of 4-(2′-naphthoyl)-[2.2]paracyclophane, C27H22O
  29. Crystal structure of trichloro(2-phenylselenophenyl)tellurium, TeSeCl3C12H9
  30. Crystal structure of (2R,5R,2′R)-5-acetyloxy-2-(2′-acetyloxy-2′phenylethyl)-1-methyl-piperidine hydrochloride, C18H26ClNO4
  31. Crystal structure of phenyl 2,3-bis(O-diphenylphosphino)-β-D-glucopyranoside rhodium(I)-(Z,Z)-cycloocta-1,5-diene tetrafluoroborate, C44H46BF4O6P2Rh
  32. Feldspar and their reactions.
  33. Aufgabensammlung zur Festkörperphysik.
  34. Beyond the Crystalline State.
https://doi.org/10.1524/zkri.1995.210.7.481

Articles in the same Issue

  1. Ab-initio structure determination of zeolite RUB-10 from low resolution X-ray powder diffraction data
  2. The role of entropy in polytypism of SiC and ZnS
  3. On the structure of Na5Mn3F14
  4. Effect of hydrostatic pressures on the crystal structure of InS
  5. Al13−x(Co1−yNiy)4, a new approximant of the decagonal quasicrystal in the Al–Co–Ni system
  6. The structure of [(CH3)3(C6H5)N]2ZnCl4 at room temperature
  7. Color quasilattice in decagonal Al65Cu20Co15 phase
  8. Re-evaluation of the crystal structure of lithium zirconium nitride, Li2ZrN2, by neutron powder diffraction
  9. Structure of 8-methylene-oleandomycin-9-oxime dihydrate
  10. Structure of tetrakis(dimethylamino)ethene (TDAE) at low temperatures
  11. Crystal structure of lithium cobalt molybdate, Li2Co2(MoO4)3
  12. Crystal structure of tristrontium phosphide borate, Sr3P(BO3)
  13. Crystal structure of sodium potassium antimonide triantimonidoaluminate, Na3K6Sb(AlSb3)
  14. Crystal structure of dipotassium lithium diarsenidogallate, K2LiGaAs2
  15. Crystal structure of sodium tetrabarium dinitridoborate, NaBa4(BN2)3
  16. Crystal structure of calcium copper phyllo-decaoxotetrasilicate, CaCuSi4O10
  17. Crystal structure of pantolactonyl ester of 2-oxo-3-keto-7-endophenylthio-bicyclo-[2,2,2]-oct-5-en-4-carboxylic acid, C20H20O6S
  18. Crystal structure of 3α,17α,21-trihydroxy-5β-pregnane-11,20-dione hemihydrate (tetrahydrocortisone), C21H32O5(H2O)0.5
  19. Crystal structure of morpholinium β-octamolybdate tetrahydrate, (C4H10NO)4(Mo8O26)(H2O)4
  20. Crystal structure of phyllo-bis(pyrazine-N,N′-dioxide)diiodocadmium, (C4H4N2O2)2(CdI2)
  21. Crystal structure of μ-chloro-μ-t-butoxylato-μ-N-trimethylphosphanimine-bis(tris(t-butoxylato)-hafnium), (OC(CH3)3)3Hf(Cl)(OC(CH3)3)(NHP(CH3)3)Hf(OC(CH3)3)3
  22. Crystal structure of di-μ-chloro-bis(hydrogen-bis(diphenylphosphinito-P, P′)-palladium) ethylene chloride, (Pd2Cl2((C6H5)2POHOP(C6H5)2)2)CH2Cl2
  23. Crystal structure of tetra-μ-chloro-bis(1-ethyl-tetramethylcyclopentadienyl-tungsten) tetrahydrofuran solvate, (C11H17WCl2)2(C4H8O)2
  24. Crystal structure of di-chloro-bis(nitrato-(4,4′-dimethyl-2,2′-bipyridine)copper(II)), [CuCl(NO3)(C12H12N2)]2
  25. Crystal structure of N-methyl-anti-7-carboethoxy-2,3-diazabicyclo[2.2.1]hept-5-ene-2,3-carboximide, C12H15N3O4
  26. Crystal structure of bis[2-cyan-1-methoxy-2-(1-phenyl-1H-tetrazol-5-yl)-1-ethen-1-olato-O, N4′]copper(II), C22H16N10O4Cu
  27. Crystal structure of 4-benzoyl-[2.2]paracyclophane, C23H20O
  28. Crystal structure of 4-(2′-naphthoyl)-[2.2]paracyclophane, C27H22O
  29. Crystal structure of trichloro(2-phenylselenophenyl)tellurium, TeSeCl3C12H9
  30. Crystal structure of (2R,5R,2′R)-5-acetyloxy-2-(2′-acetyloxy-2′phenylethyl)-1-methyl-piperidine hydrochloride, C18H26ClNO4
  31. Crystal structure of phenyl 2,3-bis(O-diphenylphosphino)-β-D-glucopyranoside rhodium(I)-(Z,Z)-cycloocta-1,5-diene tetrafluoroborate, C44H46BF4O6P2Rh
  32. Feldspar and their reactions.
  33. Aufgabensammlung zur Festkörperphysik.
  34. Beyond the Crystalline State.
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