9. (12 points) In real metals, the effective forces are of quite long range. In other words, considering only the intera

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9 12 Points In Real Metals The Effective Forces Are Of Quite Long Range In Other Words Considering Only The Intera 1 (70.62 KiB) Viewed 34 times

9. (12 points) In real metals, the effective forces are of quite long range. In other words, considering only the interaction between nearest neighbor atoms is too simple, i.e., it is just an ideal case. Show that the generalization of the dispersion relation to s nearest atoms in a one- dimensional monatomic chain is w2 = ()Σ %) { «s[1 – cos(ska)] – m s> where Ks is the spring constant corresponding to the force between s nearest atoms. Other variables are trivial or already defined in the above.