Thermodynamic model of hardness: Particular case of boron-rich solids

Journal of Superhard Materials

Volumn 32, Issue 3, 2010, Pages 167-176

  Mukhanov, V A ^a   Kurakevych, O O ^b   Solozhenko, V L ^a  

^a UNIVERSITÉ PARIS 13   (France)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

boron; Superhard materials; theory of hardness

Indexed keywords

BONDING ENERGIES; CALCULATED VALUES; CHEMICAL BONDINGS; COORDINATION NUMBER; ENERGY DENSITY; GIBBS ENERGY; PURE BORON; ROOM TEMPERATURE; STOICHIOMETRIC COMPOUND; STRUCTURAL DATA; SUPERHARD MATERIAL; THEORETICAL MODELS; THEORY OF HARDNESS; THERMODYNAMIC MODEL; THERMODYNAMIC PARAMETER;

BORON; BORON COMPOUNDS; CHEMICAL BONDS; THERMODYNAMIC PROPERTIES;

VICKERS HARDNESS;

EID: 77955582772     PISSN: 10634576     EISSN: 19349408     Source Type: Journal    
DOI: 10.3103/S1063457610030032     Document Type: Article

References (69)

1. O.O. Kurakevych 2009 Superhard Phases of Simple Substances and Binary Compounds of the B-C-N-O System: from Diamond to the Latest Results (a Review) J. Superhard Mater. 31 3 139 157 10.3103/S1063457609030010.
2. V.V. Brazhkin A.G. Lyapin R.J. Hemley 2002 Harder than Diamond: Dreams and Reality Philosoph. Mag. A 82 2 231 253 1:CAS:528:DC%2BD38Xht1Smsrk%3D.
3. F.M. Gao J.L. He E.D. Wu, et al. 2003 Hardness of Covalent Crystals Phys. Rev. Lett. 91 1 015502 1 015502 4 10.1103/PhysRevLett.91.015502.
4. A. Simunek J. Vackar 2006 Hardness of Covalent and Ionic Crystals: First-Principle Calculations Phys. Rev. Lett. 96 8 085501 1 085501 4 10.1103/PhysRevLett.96.085501. (Pubitemid 43334277)
5. D.M. Teter R.J. Hemley 1996 Low-Compressibility Carbon Nitrides Science 271 5245 53 55 10.1126/science.271.5245.53 1:CAS:528:DyaK28XisFWlsg%3D%3D.
6. S.-H. Jhi S.G. Louie M.L. Cohen, et al. 2001 Vacancy Hardening and Softening in Transition Metal Carbides and Nitrides Phys. Rev. Lett. 86 15 3348 10.1103/PhysRevLett.86.3348 1:CAS:528:DC%2BD3MXisV2mu7k%3D. (Pubitemid 32380632)
7. J.J. Gilman 1993 Why Silicon Is Hard Science 261 5127 1436 1439 10.1126/science.261.5127.1436 1:CAS:528:DyaK3sXlvVyqtLg%3D.
8. V.A. Mukhanov O.O. Kurakevych V.L. Solozhenko 2008 Thermodynamic Aspects of Materials' Hardness: Prediction of Novel Superhard High-Pressure Phases High Press. Res. 28 4 531 537 10.1080/08957950802429052 1:CAS:528:DC%2BD1cXhsV2ltLrK.
9. V.A. Mukhanov O.O. Kurakevych V.L. Solozhenko 2008 The Interrelation between Hardness and Compressibility of Substances and Their Structure and Thermodynamic Properties J. Superhard Mater. 30 6 368 378 10.3103/ S1063457608060026.
10. V.A. Mukhanov O.O. Kurakevych V.L. Solozhenko 2009 Hardness of Materials at High Temperature and High Pressure Phylosoph. Mag. 89 25 2117 2127 10.1080/14786430903032563 1:CAS:528:DC%2BD1MXht1amsLfE.
11. N. V. Novikov S.N. Dub 1991 Fracture Toughness of Diamond Single Crystals J. Hard Mater. 2 3 11 1:CAS:528:DyaK38XksFentg%3D%3D.
12. H. Sumiya N. Toda S. Satoh 1997 Mechanical Properties of Synthetic Type IIa Diamond Crystal Diamond Relat. Mater. 6 12 1841 1846 10.1016/S0925-9635(97) 00149-0 1:CAS:528:DyaK2sXns1Wgtbs%3D.
13. 2N, a New Superhard Phase Diamond Relat. Mater. 10 12 2228 2231 10.1016/S0925-9635(01)00513-1 1:CAS:528:DC%2BD3MXot1Kntbs%3D. (Pubitemid 33112441)
14. Sintez sverkhtverdykh materialov (Synthesis of Superhard Materials), 3 vol., vol. 1. Synthetic Superhard Materials, Novikov, N.V., Bondarev, E.K., Vishnevskii A.S., et al., Eds., Kiev: Naukova Dumka, 1986.
15. Emsley, J., The Elements, Oxford: Clarendon press, 1991.
16. Q. Liang C.-S. Yan Y. Meng, et al. 2009 Enhancing the Mechanical Properties of Single-Crystal CVD Diamond J. Phys.: Cond. Matter. 21 36 364215 10.1088/0953-8984/21/36/364215.
17. V.A. Mukhanov O.O. Kurakevich V.L. Solozhenko 2008 On the Hardness of Boron (III) Oxide J. Superhard Mater. 30 1 71 72.
18. 5 Phys. Rev. Lett. 102 6 015506 10.1103/PhysRevLett.102.015506.
19. V.L. Solozhenko O.O. Kurakevych A.R. Oganov 2008 On Hardness of Gamma Boron J. Superhard Mater. 30 6 428 429 10.3103/S1063457608060117.
20. J. Haines J. M. Leger 1998 The Search for Superhard Materials: A New Approach J. Superhard Mater. 20 2 3 10.
21. 6O J. Electrochem. Soc. 109 11 1079 1082 10.1149/1.2425241.
22. J.E. Lowther 2005 Potential Superhard Phases and the Stability of Diamond-Like Boron-Carbon Structures J. Phys.: Cond. Matter. 17 21 3221 3229 10.1088/0953-8984/17/21/016 1:CAS:528:DC%2BD2MXlslGjsLw%3D. (Pubitemid 40666637)
23. 5 Phys. Rev. Lett. 102 17 179901 10.1103/PhysRevLett. 102.179901.
24. Trim, D.L., Design of Industrial Catalysts, Chemical Engineering Monographs, Amsterdam: Elsevier, 1980.
25. Gusarov, V.V., Statika i dinamika polikristallicheskikh system na osnove tugoplavkikh oksidov (Statics and Dynamics of Polycrystalline Systems Based on Refractory Oxides), St. Petersbourg: St. Petersbourg State University, 1996, p. 44.
26. W.J. Nellis 2008 Systematics of Compression of Hard Materials J. Phys.: Conf. Ser. 121 6 062005 10.1088/1742-6596/121/6/062005.
27. W.L. Mao H.K. Mao P.J. Eng, et al. 2003 Bonding Changes in Compressed Superhard Graphite Science 302 5644 425 427 10.1126/science.1089713 1:CAS:528:DC%2BD3sXotV2isb0%3D. (Pubitemid 37296263)
28. Q. Li Y. Ma A.R. Oganov, et al. 2009 Superhard Monoclinic Polymorph of Carbon Phys. Rev. Lett. 102 17 175506 10.1103/PhysRevLett.102.175506.
29. Y. Meng H.-K. Mao P.J. Eng, et al. 2004 The Formation of sp3 Bonding in Compressed BN Nature Mater. 3 2 111 114 10.1038/nmat1060 1:CAS:528: DC%2BD2cXoslWqug%3D%3D.
30. M. Ueno K. Hasegawa R. Oshima, et al. 1992 Room-Temperature Transition of Rhombohedral Type Boron-Nitride under High Static Pressure Phys. Rev. B 45 18 10226 10230 10.1103/PhysRevB.45.10226 1:CAS:528:DyaK38XktFOksLs%3D.
31. T. Yagi W. Utsumi M. Yamakata, et al. 1992 High-Pressure in situ X-ray-Diffraction Study of the Phase Transformation from Graphite to Hexagonal Diamond at Room Temperature Phys. Rev. B 46 10 6031 6039 10.1103/PhysRevB.46. 6031 1:CAS:528:DyaK38Xmt1entL4%3D.
32. V.L. Solozhenko O.O. Kurakevych 2005 Reversible Pressure-Induced Structure Changes in Turbostratic BN-C Solid Solutions Acta Cryst. B 61 5 498 503 10.1107/S0108768105025085. (Pubitemid 43923837)
33. 4 under Pressure J. Appl. Phys. 102 6 063509 1 063509 6 10.1063/1.2781572. (Pubitemid 47508922)
34. V.L. Solozhenko O.O. Kurakevych E.G. Solozhenko, et al. 2006 Equation of State of Graphite-Like BC Solid State Comm. 137 5 268 271 10.1016/j.ssc.2005.11. 025 1:CAS:528:DC%2BD28XjvVarug%3D%3D. (Pubitemid 43061367)
35. A.V. Talyzin V.L. Solozhenko O.O. Kurakevych, et al. 2008 Colossal Pressure-Induced Lattice Expansion of Graphite Oxide in the Presence of Water Angewandte Chemie International Edition 47 43 8268 8271 10.1002/anie.200802860 1:CAS:528:DC%2BD1cXht12jsbrN.
36. O.O. Kurakevych 2007 Restricted Growth of Solid Phase from Solution Mater. Chem. Phys. 105 s.2-3 401 407 10.1016/j.matchemphys.2007.05.006 1:CAS:528:DC%2BD2sXhtVSqu7vL. (Pubitemid 47368770)
37. Q. Liang C.-S. Yan Y. Meng, et al. 2009 Recent Advances in High-Growth Rate Single-Crystal CVD Diamond Diamond Relat. Mater. 18 s.5-8 698 703 10.1016/j.diamond.2008.12.002 1:CAS:528:DC%2BD1MXmvFehur0%3D.
38. A.R. Oganov V.L. Solozhenko 2009 Boron: A Hunt for Superhard Polymorphs J. Superhard Mater. 31 5 285 291 10.3103/S1063457609050013.
39. Amberger, E. and Stumpf, W., Gmelin Handbook of Inorganic Chemistry, Berlin: Springer-Verlag, 1981, pp. 112-238.
40. 11B Isotopes J. Solid State Chem. 177 2 600 604 10.1016/j.jssc.2003.07.008 1:CAS:528:DC%2BD2cXhtVKgsrY%3D.
41. 11B and Natural β-Boron J. Solid State Chem. 179 9 2944 2948 10.1016/j.jssc.2006.05.024 1:CAS:528:DC%2BD28XotlCju7w%3D. (Pubitemid 44232805)
42. A.R. Oganov J. Chen C. Gatti, et al. 2009 Ionic High-Pressure Form of Elemental Boron Nature 457 7231 863 867 10.1038/nature07736 1:CAS:528: DC%2BD1MXht1ehs7Y%3D.
43. A.R. Oganov J. Chen C. Gatti, et al. 2009 Addendum: Ionic High-Pressure Form of Elemental boron Nature 460 7252 292 292 10.1038/nature08164 1:CAS:528:DC%2BD1MXotlSntbs%3D.
44. 28 Solid State Comm. 149 33-34 1356 1358 10.1016/j.ssc.2009.05.025.
45. 12 J. Solid State Chem. 28 3 289 301 10.1016/0022-4596(79)90080-X 1:CAS:528:DyaE1MXkvVWkur4%3D. (Pubitemid 9471692)
46. V. Domnich Y. Gogotsi M. Trenary 2001 Identification of Pressure-Induced Phase Transformations Using Nanoindentation Mater. Res. Soc. Symp. Proc. 649 Q8.9.1 Q8.9.6 1:CAS:528:DC%2BD3MXlt1aht7w%3D.
47. 2, by X-ray Powder Diffraction, Acta Cryst. C, 2007, vol. 63. pp. i80-i82.
48. V.L. Solozhenko O.O. Kurakevych 2009 Chemical Interaction in the B-BN System at High Pressures and Temperatures. Synthesis of Novel Boron Subnitrides J. Solid State Chem. 182 6 1359 1364 10.1016/j.jssc.2009.03.003 1:CAS:528:DC%2BD1MXms1WltLg%3D.
49. V.L. Solozhenko O.O. Kurakevych V.Z. Turkevich, et al. 2009 On the Problem of the Phase Relations in the B-BN System at High Pressures and Temperatures J. Superhard Mater. 31 1 1 6 10.3103/S1063457609010018.
50. O.O. Kurakevych V.L. Solozhenko 2009 300-K Equation of State of Rhombohedral Boron Subnitride Solid State Comm. 149 s.47-48 2169 2171 10.1016/j.ssc.2009.09.019 1:CAS:528:DC%2BD1MXhtlagtbrE.
51. N. Koichi N. Atsushi H. Toshio 1984 The Effect of Stoichiometry on Mechanical Properties of Boron Carbide J. Amer. Ceram. Soc. 67 1 C-13 C-14.
52. Kurdyumov, A.V., Malogolovets, V.G., Novikov, N.V., et al.,Polimorfnye modifikatsii ugleroda i nitride bora (Polymorph Modifications of Carbon and Boron Nitride), Moscow: Metallurgiya, 1994.
53. N.V. Novikov Y.V. Sirota V.I. Mal'nev, et al. 1993 Mechanical Properties of Diamond and Cubic BN at Different Temperatures and Deformation Rates Diamond Relat. Mater. 2 9 1253 1256 10.1016/0925-9635(93)90004-L 1:CAS:528: DyaK2cXosVaktw%3D%3D.
54. 3-Base Ceramics Acra Metall. 34 7 1315 1319 10.1016/0001-6160(86)90018-0 1:CAS:528:DyaL28Xkt1ylsro%3D. (Pubitemid 16568943)
55. O'Connor, J.R., Smiltens, J., et al., A High Temperature Semiconductor, Oxford, London, New York, Paris: Pergamon Press, 1960.
56. Marinescu, I.D., Tonshoff, H.K., Inasaki, I., et al. Handbook of Ceramic Grinding and Polishing, Noyes Publications: Berkshire, 2000.
57. 2 Single Crystals J. Alloy. Comp. 477 s.1-2 L28 L29.
58. V.L. Solozhenko O.O. Kurakevych A.R. Oganov 2008 On the Hardness of a New Boron Phase, Orthorhombic γ-B28 J. Superhard Mater. 30 6 428 429 10.3103/S1063457608060117.
59. Y. Kumashiro Y. Okada S. Gonda 1984 Crystal Growth of Thick Wafers of Boron Phosphide J. Cryst. Growth 70 s.1-2 507 514 10.1016/0022-0248(84)90309-9 1:CAS:528:DyaL2MXitFensLg%3D.
60. P.F. McMillan H. Hubert A. Chizmeshya, et al. 1999 Nucleation and Growth of Icosahedral Boron Suboxide Clusters at High Pressure J. Solid State Chem. 147 1 281 290 10.1006/jssc.1999.8272 1:CAS:528:DyaK1MXmvVKntro%3D. (Pubitemid 129499210)
61. 4 J. Less Comm. Met. 67 2 455 459 10.1016/0022-5088(79)90027-4 1:CAS:528:DyaL3cXmslyrtg%3D%3D.
62. 25 Species Solid State Sci. 8 1202 1208 10.1016/j.solidstatesciences.2006.05.007 1:CAS:528:DC%2BD28XhtVOnur7E. (Pubitemid 44548430)
63. 20 Crystal Structure Intermetallics 10 811 817 10.1016/S0966-9795(02)00060-2 1:CAS:528: DC%2BD38XlslyltLg%3D. (Pubitemid 34862870)
64. 31 of the Beta-Rhombohedral Boron Structure J. Solid State Chem. 82 230 238 10.1016/0022-4596(89)90287-9 1:CAS:528:DyaK3cXovVKrsQ%3D%3D.
65. M. Vlasse J.C. Viala 1981 The Boron-Silicon Solid Solution: A Structural Study of the SiB-36 Composition J. Solid State Chem. 37 2 181 188 10.1016/0022-4596(81)90084-0 1:CAS:528:DyaL3MXitFyjs7s%3D. (Pubitemid 11515203)
66. 6 J. Solid State Chem. 63 1 31 45 10.1016/0022-4596(86)90149-0 1:CAS:528:DyaL28XksFamsrY%3D. (Pubitemid 16572830)
67. 4 J. Amer. Ceram. Soc. 43 10 550 552 10.1111/j.1151-2916.1960.tb13612.x 1:CAS:528:DyaF3MXkslCl.
68. 14 Scripta Materialia 42 6 597 602 10.1016/S1359-6462(99)00400-5 1:CAS:528:DC%2BD3cXhs1yrsr0%3D. (Pubitemid 30581496)
69. Q. Gu G. Krauss W. Steurer 2008 Transition Metal Borides: Superhard versus Ultra-Incompressible Advanced Mater. 20 19 3620 3626 10.1002/adma. 200703025 1:CAS:528:DC%2BD1cXht1Glsr3K