Abstract
Thermal expansion and high-temperature crystal structures of phenakite and chrysoberyl have been determined by x-ray methods at several temperatures to 690° C. Phenakite (hexagonal, space groupR \(\bar 3\)) has slightly anisotropic thermal expansion; average expansions between 25 and 690° C perpendicular and parallel to thec axis are α⊥=5.2×10−6 °C−1 and α∥=6.4×10−6 °C−1, respectively. The unit cell volume of phenakite over this temperature range is given by the polynomial expression:V = 1102.9(2) + 0.010(2)T + 1.1(3) × 10-5 T 2.
Chrysoberyl (orthorhombic, space groupPbnm) has nearly isotropic thermal expansion, with maximum expansivity 8.5×10−6 °C−1 parallel to theb axis, and minimum expansivity 7.4×10−6 °C−1 parallel toa. Thec axis expansivity is 8.3×10−6 °C−1. Chrysoberyl volume between 25° and 690° C may be represented by:V = 227.1(2) + 0.003(1)T + 4(2) × 10-6 T 2.
The thermal expansion of beryllium, aluminum, and silicon cation coordination polyhedra in phenakite and chrysoberyl are similar to values found in previous studies of minerals in the BeO-Al2O3-SiO2 system. High-temperature structure studies of bromellite (BeO), beryl (Be3Al2Si6O18), phenakite and chrysoberyl all have beryllium tetrahedra that display the same near-zero expansion at room temperature, but increasing expansion at higher temperatures.
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References
Au AY, Hazen RM (1986) Polyhedral modeling of the elastic properties of corundum (α-Al2O3) and chrysoberyl (Al2BeSiO4). Geophys Res Lett 12:725–728
Barton MD (1986) Phase equilibria and thermodynamic properties of minerals in the BeO-Al2O3-SiO2-H2O (BASH) system, with petrologic applications. Am Mineral 71:277–300
Bragg WL, Brown GB (1926) Die Struktur des Olivins. Z Kristallogr 63:538–556
Brown GE Jr, Mills BA (1986) High-temperature structure and crystal chemistry of hydrous alkali-rich beryl from the Harding pegmatite, Taos County, New Mexico. Am Mineral 71:547–556
Downs JW (1983) An experimental examination of the electron distribution in bromellite, BeO, and phenacite, Be2SiO4. Ph.D. Thesis, Virginia Polytechnic Institute and State University, Blacksburg, Virginia
Farrell EF, Fang JH, Newnham RE (1963) Refinement of the chrysoberyl structure. Am Mineral 48:804–810
Finger LW, Hadidiacos CG, Ohashi Y (1973) A computer-automated, single-crystal, X-ray diffractometer. Carnegie Inst Washington, Yearh 72:694–699
Hamilton WC (1974) Angle settings for four-circle diffractometers. In: International Tables for x-ray Crystallography 4:273–284. Kynoch Press, Birmingham, England
Hazen RM (1985) Comparative crystal chemistry and the polyhedral approach. Rev Mineral 14:317–346
Hazen RM (1986) High-pressure crystal chemistry of chrysoberyl, Al2BeO4: Insights on the origin of olivine elastic anisotropy. Phys Chem Minerals 14:13–20
Hazen RM (1987) A useful fiction: polyhedral modeling of mineral properties. American Journal of Science, Wones volume, in review
Hazen RM, Au AY (1986) High-pressure crystal chemistry of phenakite (Be2SiO4) and bertrandite (Be4Si2O7(OH)2). Phys Chem Minerals 13:69–78
Hazen RM, Finger LW (1982) Comparative crystal chemistry. Willey, New York
Hazen RM, Finger LW (1986) High-pressure and high-temperature crystal chemistry of beryllium oxide. J Appl Phys 59:3728–3733
Hazen RM, Au AY, Finger LW (1986) High-pressure crystal chemistry of beryl (Be3Al2Si6O18) and euclase (BeAlSiO4OH). Am Mineral 71:977–984
Hazen RM, Prewitt CT (1977) Effects of temperature and pressure on interatomic distances in oxides and silicates. Am Mineral 62:309–315
King HE, Finger LW (1979) Diffracted beam crystal centering and its application to high-pressure crystallography. J Appl Crystallogr 12:374–378
Kogure T, Takeuchi Y (1986) Compressibility of the BeO4 tetrahedra in the crystal structure of phenacite. Mineral J 13:22–27
Morosin B (1972) Structure and thermal expansion of beryl. Acta Crystallogr B 28:1899–1903
Robinson K, Gibbs GV, Ribbe PH (1971) Quadratic elongation: a quantitative measure of distortion in coordination polyhedra. Science 172:567–570
Sharp ZD, Hazen RM, Finger LW (1986) Structural refinements of monticellite to 60 kbar. Geol Soc Am Abstracts with Progr 18:746
Zachariasen WH (1967) A general theory of x-ray diffraction in crystals. Acta Crystallogr 23:558–564
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Hazen, R.M., Finger, L.W. High-temperature crystal chemistry of phenakite (Be2SiO4) and chrysoberyl (BeAl2O4). Phys Chem Minerals 14, 426–434 (1987). https://doi.org/10.1007/BF00628819
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DOI: https://doi.org/10.1007/BF00628819