Consider a one-dimensional chain of alternating

Chapter 43, Problem 26

(choose chapter or problem)

Consider a one-dimensional chain of alternating singly-ionized positive and negative ions. Show that the potential energy associated with one of the ions and its interactions with the rest of this hypothetical crystal is U 1r2 5 2ake e 2 r where the Madelung constant is a 5 2 ln 2 and r is the distance between ions. Suggestion: Use the series expansion for ln (1 1 x)

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