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  • Springer  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 13 (1986), S. 69-78 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract Compressibilities and high-pressure crystal structures have been determined by X-ray methods at several pressures for phenakite and bertrandite. Phenakite (hexagonal, space group R $$\bar 3$$ ) has nearly isotropic compressibility with β=1.60±0.03×10−4 kbar−1 and β=1.45±0.07×10−4 kbar−1. The bulk modulus and its pressure derivative, based on a second-order Birch-Murnaghan equation of state, are 2.01±0.08 Mbar and 2±4, respectively. Bertrandite (orthorhombic, space group Cmc21) has anisotropic compression, with β a =3.61±0.08, β b =5.78±0.13 and β c =3.19±0.01 (all ×10−4 kbar−1). The bulk modulus and its pressure derivative are calculated to be 0.70±0.03 Mbar and 5.3±1.5, respectively. Both minerals are composed of frameworks of beryllium and silicon tetrahedra, all of which have tetrahedral bulk moduli of approximately 2 Mbar. The significant differences in linear compressibilities of the two structures are a consequence of different degrees of T-O-T bending.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 13 (1986), S. 360-370 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract A modified rigid-ion model is developed based on coordination polyhedra as the fundamental modelling units in a crystal structure. A crystal structure is represented by its constituent coordination polyhedra that are treated as three-dimensional elastic continua. Elastic moduli, experimentally determined or otherwise assumed, are ascribed to these coordination polyhedra. Finite element analysis is applied to retrieve the interatomic force information implicit in the elastic moduli of these polyhedra. The polyhedral approach provides a framework to model noncentral and many-body forces in a conventional lattice calculation because the elastic moduli contain much information on the nature of static interatomic forces within a crystal structure. The polyhedral model of the single-crystal elastic moduli of forsterite compares very well with the observed data; the average deviation of the calculated elastic moduli from the measured elastic moduli is within 6 percent.
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 1986-04-01
    Print ISSN: 0342-1791
    Electronic ISSN: 1432-2021
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Published by Springer
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