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The frequency spectrum of a two-dimensional ionic lattice has been evaluated. A method is given for calculating the exact density of the spectrum at special points in phase space. Two logarithmic infinities, first found by Montroll using a quasielastic forces model, are confirmed for an ionic lattice. The bearing of these infinities on the interpretation of the second-order Raman spectra is discussed
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M Smollett (1952) studied this question.
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