Abstract
Objects with icosahedral symmetry (Ih) bear a special fascination; natural examples are rare, but include radiolaria1 and virus particles (virions)2. The discovery3 of C60, a molecule in the shape of a truncated icosahedron with Ih symmetry, has aroused widespread interest. In 1962, Mackay4 described a radiating packing of spheres in Ih symmetry, in which the centres of successive shells of spheres lie on the surfaces of icosahedra. There has been extensive investigation of the conditions under which such packing might be realized in assemblies of atoms or of molecules such as C60 (ref. 5). Here we report the preparation, at high temperatures and pressures, of boron suboxide (B6O) in which the preferred form of the material is as macroscopic, near-perfect, regular icosahedra, similar to the multiply-twinned particles observed in some cubic materials. A major difference is that B6O has a rhombohedral structure that nearly exactly fits the geometrical requirements needed to obtain icosahedral twins. These icosahedral particles have a structure that can be described as a Mackay packing of icosahedral B12 units, and thus has long-ranged order without translational symmetry.
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References
Thompson, D. A. W. On Growth and Form (Cambridge Univ. Press, 1961).
Madeley, C. R. & Field, A. M. Virus Morphology 2nd edn (Churchill Livingston, Edinburgh, 1988).
Kroto, H. W., Heath, J. R., O'Brien, S. C., Curl, R. F. & Smalley, R. E. C60: Buckminsterfullerene. Nature 318, 162–163 (1985).
Mackay, A. L. Adense non-crystallographic packing of equal spheres. Acta Crystallogr. 15, 916–918 (1962).
Wales, D. J. Structure, dynamics, and thermodynamics of clusters: tales from topographic potential surfaces. Science 271, 925–929 (1996).
Devouard, B. & Baronnet, A. Axial diffraction of curved lattices: geometrical and numerical modeling. Application to chrysotile. Eur. J. Mineral. 7, 835–846 (1995).
Baronnet, A., Mellini, M. & Devouard, B. Sectors in polygonal serpentine. A model based on dislocations. Phys. Chem. Mineral. 21, 330–343 (1994).
Evans, H. T. The crystal structures of cavansite and pentagonite. Am. Miner. 58, 412–424 (1973).
Narayan, J., Srivatsa, A. R., Peters, M., Yokota, S. & Ravi, K. V. On epitaxial growth of diamond films on (100) silicon substrates. Appl. Phys. Lett. 53, 1823–1825 (1988).
Williams, B. E., Kong, H. S. & Glass, J. T. Electron microscopy of vapor phase deposited diamond. J. Mater. Research. 5, 801–806 (1990).
Doraiswamy, N. & Marks, L. D. Preferred structures in small particles. Phil. Mag. B 71, 291–310 (1995).
Gammons, C. H. Hydrothermal synthesis of gold grains with apparent five-fold symmetry. Can. Mineral. 34, 1–8 (1996).
Uyeda, R. in Morphology of Crystals (ed. Sunagawa, I.) (Reidel, Dordrecht, 1987).
Bachmann, P. K. & Wiechert, D. U. in Diamond and Diamond-like Films and Coatings 677–713 (NATO ASI Ser. B266, Plenum, New York, 1991).
Ohashi, W. & Spaepen, F. Stable Ga–Mg–Zn quasiperiodic crystals with pentagonal dodecahedral solidification morphology. Nature 330, 555–556 (1987).
Dubost, B., Lang, J. M., Tanaka, M., Sainfort, P. & Audier, M. Large AlCuLi single quasicrystals with triacontahedral solidification morphology. Nature 324, 48–50 (1986).
O'Keeffe, M. & Hyde, B. G. Crystal Structures I: Patterns and Symmetry (Mineralogical Soc. of America, Washington DC, 1996).
Lundström, T. in Boron-Rich Solids (eds Emin, D., Aselage, T., Beckel, C. L., Howard, I. A. & Wood, C.) 186–192 (AIP Conf. Proc. 231, Am. Inst. Phys., New York, (1991).
Vast, N.et al. Lattice Dynamics of Icosahedral α-Broon under Pressure. Phys. Rev. Lett. 78, 693–696 (1997).
Hubert, H.et al. High-pressure, high-temperature synthesis and characterization of boron suboxide (B6O). Chem. Mater.(submitted).
Hubert, H., Garvie, L. A. J., Buseck, P. R., Petuskey, W. T. & McMillian, P. F. High-pressure, high-temperature syntheses in the B–C–N–O system. Part I. Synthesis and characterization. J. Solid State Chem.(in the press).
Lundström, T. & Bolmgren, H. in Proc. 11th Int. Symp. Boron, Borides and Related Compounds (eds Uno, R. & Higashi, I.) 10, 1–4 (JJAP Series, Tsukuba, 1994).
Kobayashi, M., Higashi, I., Brodhag, C. & Thévenot, F. Structure of B6O boron-suboxide by Rietveld refinement. J. Mater. Sci. 28, 2129–2134 (1993).
Lundström, T. & Andreev, Y. G. Superhard boron-rich borides and studies of the B–C–N system. Mat. Sci. Eng. A209, 16–22 (1996).
Bolmgren, H., Lundström, T. & Okada, S. in Boron-Rich Solids (eds Emin, D., Aselage, T., Beckel, C. L., Howard, I. A. & Wood, C.) 197–200 (AIP Conf. Proc. 231, Am. Inst. Phys., New York, (1991).
Donohue, J. The Structures of the Elements (Wiley, New York, 1974).
Naslain, R. in Boron and Refractory Borides (ed. Matkovitch, V. I.) 139–202 (Springer, Berlin, Heidelberg, 1977).
Hoard, J. L., Sullenger, D. B., Kennard, C. H. L. & Hughes, R. E. The structure analysis of beta-rhombohedral boron. J. Solid State Chem. 1, 268–277 (1970).
Rizzo, H. F., Simmons, W. C. & Bielstein, H. O. The existence and formation of the solid B6O. J. Electrochem. Soc. 109, 1079 (1962).
Ellison Hayashi, C., Emond, G. T. & Kuo, S. Y. Abrasion of surfaces with boron suboxide. US Patent No. 920357 (1994).
Bagley, B. G. Five-fold pseudosymmetry. Nature 225, 1040–1041 (1970).
Lee, S., Kim, S. W., Bylander, D. M. & Kleinman, L. Crystal structure, formation enthalpy, and energy bands of B6O. Phys. Rev. B 44, 3550–3554 (1991).
Acknowledgements
We thank K. Leinenweber for helpful discussions. This work was supported by the US National Science Foundation.
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Hubert, H., Devouard, B., Garvie, L. et al. Icosahedral packing of B12 icosahedra in boron suboxide (B6O). Nature 391, 376–378 (1998). https://doi.org/10.1038/34885
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DOI: https://doi.org/10.1038/34885
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