CondMat07PS5

# CondMat07PS5 - neighbors and second a spherical geometry...

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1 CONDENSED MATTER PHYSICS 171.405 / 171.621 Instructor: N.P. Armitage Grader: Paula Mellado Fall 2007 Problem Set 5 Due to Graders mail box by Monday Nov. 26th ============================= Q 1: Kittel 3.1 ============================= Q 2: Kittel 3.2 ============================= Q 3: Calculate the Madelung constant A for a linear ionic chain ============================= Q 4: Make an approximate numerical calculation of the Madelung constant for the NaCl lattice. Use two diﬀerent approaches: First, a cubic geometry where 2ma is the length of a side of the cube and a the separation of nearest

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Unformatted text preview: neighbors, and, second, a spherical geometry where ma is the radius of the sphere. In both cases, you should locate the reference ion at the center. Carry out the calculations for m values of 97,98, and 99. What is the cause of the diﬀerences? ============================= Q 5: Kittel 3.5 ============================= Q 6: Kittel 3.7 ============================= For students of 621 only Q 7: Ashcroft and Mermin 20.1 (next page) 2...
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CondMat07PS5 - neighbors and second a spherical geometry...

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