Estimation of K-O distance and tetrahedral rotation angle of K-micas from far-infrared absorption spectra data

H. Tateyama; S. Shimoda; T. Sudo

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Other| June 01, 1977

Estimation of K-O distance and tetrahedral rotation angle of K-micas from far-infrared absorption spectra data

H. Tateyama;

H. Tateyama

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S. Shimoda;

S. Shimoda

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GSW

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T. Sudo

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GSW

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Author and Article Information

H. Tateyama

S. Shimoda

T. Sudo

Publisher: Mineralogical Society of America

First Online: 03 Mar 2017

Online ISSN: 1945-3027

Print ISSN: 0003-004X

American Mineralogist (1977) 62 (5-6): 534–539.

Abstract

Far-infrared absorption spectra of K-micas were measured in the range from 200 to 40 cm⁻¹. The writers propose two equations to calculate the К–O bond length and the tetrahedral rotation angle of K-micas respectively, using the data for lattice parameters and frequencies of vibrations in far-infrared absorption spectra. The equations are as follows:

p = 3.676 - 0.0076 x

α = \arctan (\sqrt{3} - 6 \sqrt{p^{2} - 0.25 {(d_{001} - 6.642)}^{2}} / b)

where α, p, d₀₀₁, b, and x are the tetrahedral rotation angle, potassium-oxygen bond length, interplanar spacing,_b-lattice parameter, and observed frequency of the К–O stretching vibration in wave numbers respectively.

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