Abstract
Recently, we succeeded in synthesizing three osmium borides, i.e., OsB1.1, Os2B3 and OsB2. Up to date, almost nothing is known about the physical properties of these materials. Microhardness measurements show that OsB2 is extremely hard. Ab initio calculations show that it is due to formation of covalent bonds between boron atoms. OsB2 is also a low compressibility material. It can be used for hard coatings. The β-rhombohedral polymorph of boron is the second hardest elemental crystal (H ≈ 33 GPa). It is also very light and a p-type semiconductor. In early 1970s, it has been shown that the doping of boron with 3d transition elements enhances its hardness by about 25%. We predict that, in general, heavily doped samples MBx, with x ≤ 31 or equivalently a dopant concentration larger than 3.2 at.%, should be ultrahard, i.e., H > 43 GPa. The relevant dopants M are Al, Cu, Sc, Mn, Mg and Li. In addition to these properties, boron-rich materials have a very low volatility, a high chemical inertness and high melting point. They are suitable for applications under extreme conditions and thermoelectric equipment.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Holcombe CE, Smith DD, Lore JD, Duerksen WK, Carpenter DA (1973) Physical-Chemical Properties Of Beta-Rhombohedral Boron. High Temp Sci 5:349–357
Werheit H (1998) Numerical Data and Fundamental Relationships in Science and Technology, edited by Madelung O, Vol Group III 41C. Landolt-Bornstein, Springer, Berlin.
Haasen P (1983) Physical Metallurgy, edited by Cahn RW and Haasen P. North-Holland Physics, Amsterdam
Cynn H, Klepeis JE, Yoo CS, Young DA (2002) Osmium has the lowest experimentally determined compressibility. Phys Rev Lett 88:135701
Holleck H (1986) Material selection for hard coatings. J Vac Sci Technol A 4:2661–2669
Stuparevic L, Živković D (2004) Phase diagram investigation and thermodynamic study of Os-B system. J Therm Analys Calor 76:975–983
Hebbache M, Stuparevic L, Živković D (2006) A new superhard material : Osmium diboride OsB2. Solid State Comm 139:227–231
Kohn W, Sham LJ (1965) Self-Consistent equations including exchange and correlation effects. Phys Rev 140 A:1133–1138
Blaha P, Schwarz S, Madsen GKH, Kvasnicka D, Luitz J (2001) Computer Code WIEN2k. VUT, Vienna
Aronsson B (1963) The crystal structure of RuB2, OsB2, and IrB1.35 and some general comments on the crystal chemistry of borides in the composition range MeB-MeB3. Acta Chem Scand 17:2036–2050
Kaner RB, Gilman JJ (2002) US Patent UCLA No. 2002-244; Kaner RB, Gilman JJ, Tolbert SH (2005) Designing Superhard Materials. Science 308:1268–1269
Grimsditch M, Zouboulis ES, Polian A (1994) Elastic constants of boron nitride. J Appl Phys 76:832–834
Grimsditch M, Ramdas AK (1975) Brillouin scattering in diamond. Phys Rev B 11:3139–3148
Hebbache (2009) The Fermi surface of a superconductor : OsB2. Phys Stat Sol (RRL) 3 :163–165
M. Hebbache M (2000) Shear modulus and hardness of crystals: Density-functional calculations. Solid State Commun 113:427–432
Donohue J (1974) The Structures of The Elements. Krieger Publishing Compagny, Florida
Carlsson JO, Lundstrom T (1970) The Solution hardening of ?-Rhombohedral boron, J Less Common Met 22:317–320
Brodhag, C, Thevenot F, Viala JC (1978) Hardness Study Of β-Rhombohedral Boron. Ann Chim Fr 3:23–26; Thevenot F, Viala JC (1979) Obtention de bore pur sous forme massive ou en couches minces. Caractérisation physique du bore. Les couches minces 195:35–45 (in french); Golikova OA, Amandzhanov N, Kazanin MM, Klimashin GM, Kutasov VV (1990) Electrical activity of impurities in ?-Rhombohedral boron. Phys Stat Sol a, 121:579–586
King HW (1966) Quantitative size-factors for metallic solid solutions. J Mater Sci 1:79–90; King HW (1971) Quantitative size-factors for interstitial solid solutions. J. Mater Sci 6:1157–1167
Hebbache M (2009). The search for superhard materials : doped boron. Euro Phys Lett 87:16001
Gao M, He JL, Wu ED, Liu SM, Yu DL, Li DC, Zhang SY, Tian YJ (2003) Hardness of covalent crystals. Phys Rev Lett 91:015502
Callmer B (1977) An accurate refinement of the ?-rhombohedral boron structure. Acta Crystallogr B33:1951–1954
He J, Wu E, Wang H, Liu R, Tian Y (2005) Ionicities of boron-boron bonds in B12 icosahedra. Phys Rev Lett 94:015504
Levine BF (1973) Bond susceptibilities and ionicities in complex crystal structures. J. Chem. Phys., 59:1463–1486
Šimunek A, Vackár J (2006) Hardness of covalent and ionic crystals: first-principle calculations. Phys Rev Lett 96:085501
Gilman JJ (1974) Theory of solution strengthening of alkali halide crystals. J Appl Phys 45:508–509
Garbauskas MF, Kasper JS, Slack GA (1986). The incorporation of vanadium in β-rhombohedral boron as determined by single-crystal diffractometry. J Solid State Chem 63:424–430
Lundstrom T, Tergenius LE (1984) A single-crystal investigation of the solid solution NiB48.5 of β-rhombohedral boron type structure. Z. Kristallogr., 167:235–246
Callmer B, Lundstrom T (1976) A single-crystal diffractometry investigation of iron in β-rhombohedral boron. J Solid State Chem 17:165–170
Andersson S, Lundstrom T (1970) The solubility of chromium in β-rhombohedral boron as determined in CrB41 by single-crystal diffractometry. J Solid State Chem 2:603–611
Higashi I, Iwasaki H (1989) Single-crystal X-ray diffraction study of AlB31 of the β-rhombohedral boron structure. Solid State Chem 82:230–238
Andersson S, Callmer B (1974) The solubilities of copper and manganese in β-rhombohedral boron as determined in CuB28 and MnB23 by single-crystal diffractometry. J Solid State Chem 10:219–230
Callmer B (1978) A single-crystal diffractometry investigation of scandium in β-rhombohedral boron. J Solid State Chem 23:391–398
Brutti S, Colapietro M, Balducci G, Barba L, Manfrineti P, Palenzona A (2002) Synchrotron powder diffraction Rietveld refinement of MgB20 crystal structure. Intermetallics 1:811–817
Kobayashi M, Higashi I, Matsuda H, Kimura K (1995) Rietveld analysis of LiB13 with β-rhombohedral boron structure. J Alloys Comp 221:120–124
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
Hebbache, M., Živković, D. (2010). Investigation of Hard Boron Rich Solids: Osmium Diboride and β-Rhombohedral Boron. In: Orlovskaya, N., Lugovy, M. (eds) Boron Rich Solids. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9818-4_8
Download citation
DOI: https://doi.org/10.1007/978-90-481-9818-4_8
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9817-7
Online ISBN: 978-90-481-9818-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)