Abstract
The torsional mode frequency ωt in Cs1−xRbx-Vermiculite has been determined using an angular force constant model and a virtual crystal approximation. The sensitivity of ωt has been examined with respect to the force constants between the Kagome' oxygen frame and the interlayer cations. These force constants were used to calculate the longitudinal elastic constants, C11 and C33 and are consistent with the observed elastic anisotropy in related layer silicates. The observed nonlinear x-dependence of the torsional mode frequency in ternary systems can be related to the polarizability of the interlayer cations (Cs+,Rb+).
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References
Ashcroft NW, Mermin ND (1976) Solid state physics. Holt, Rinehart & Winston, New York, p 445
Kim H, Jin W, Lee S, Zhou P, Pinnavaia TJ, Mahanti SD, Solin SA (1988) Layer rigidity and collective effects in pillared lamel- lar solids. Phys Rev Lett 60, 2168 (1988)
Ishii M, Simanouchi T, Nakahira M (1967) Far infra-red absorption spectra of layer silicates. Inorgnica Chimica [1:3]: 387–392
Launey J de (1956) The theory of specific heats and lattice vibrations. In: Solid state physics, vol. 2, Seitz F, and Turnbull D (ed) Academic Press, New York, pp 219–303
Saxena BD (1961) Infra-red absorption studies of some silicate structures. Transactions of Faraday Society 57:242–255
Singh RK (1982) Many body interactions in binary ionic solids. Phys Reports 85:259
Solin SA (1984) Novel properties of intercalated layered solids. J Molecular Catalysis 27:293–303
Solin SA (1986) Unpublished
Vaughan MT, Guggenheim S (1986) Elasticity of muscovite and its relationship to crystal structure. J Geophysical Research 91:4657–4664
York BR, Solin SA, Wada N, Rayathatha RH, Johnson ID, Pinnavaia T (1985) Substrate rigidity effects in mixed layered solids. Solid State Commun 54:475–478
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Gupta, H.C., Mahanti, S.D. & Solin, S.A. Torsional mode frequency and elastic anisotropy in alkali vermiculites. Phys Chem Minerals 16, 291–294 (1988). https://doi.org/10.1007/BF00220697
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DOI: https://doi.org/10.1007/BF00220697