A computational study by C.J. Marsden (Chem. Phys. Lett. 245, 475 (1995)) of AMx

Chapter 12, Problem 12.12

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A computational study by C.J. Marsden (Chem. Phys. Lett. 245, 475 (1995)) of AMx compounds, where A is in Group 14 of the periodic table and M is an alkali metal, shows several deviations from the most symmetric structures for each formula. For example, most of the AM4 structures were not tetrahedral but had two distinct values for MAM bond angles. They could be NC CN CF3 CF3 Ag 26 1 0 0 1 1 0 0 1 0 0 i i 0 1 1 0 derived from a tetrahedron by a distortion shown in (27). (a) What is the point group of the distorted tetrahedron? (b) What is the symmetry species of the distortion considered as a vibration in the new, less symmetric group? Some AM6 structures are not octahedral, but could be derived from an octahedron by translating a C-M-C axis as in (28). (c) What is the point group of the distorted octahedron? (d) What is the symmetry species of the distortion considered as a vibration in the new, less symmetric group?

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