The one-dimensional monatomic harmonic crystal (Sect. 6.1.3) is in fact a particular case of the diatomic model
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The one-dimensional monatomic harmonic crystal (Sect. 6.1.3) is in fact a particular case of the diatomic model described in Sect. 6.1.4, for which the two atoms are identical. To prove this, show that the expression for the diatomic harmonic crystal can be transformed into an expression similar to the monatomic crystal. Solve Eq. (6.22) in the limit M1 = M2 = M. What considerations do you have to take into account to do this?
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The diatomic harmonic crystal is described by the following equation Ek 12 M1 12 a22 12 M2 ...View the full answer
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