141A_PS4_sp07 - a mass M This is a simple example of defect...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
PHYSICS 141A S. G. LOUIE SPRING 2007 Problem Set #4 Due: Friday, 02/16/07 Reading: Finish Chapter 5 of ISSP (25) 1. From Ibach and Luth: Calculate the eigenfrequency of a mass defect M " m in a linear chain at the position n = 0 by invoking the ansatz s n = s 0 e " k( # )|n| " i # t for the displacements. For which range of M do localized vibrations exist? [That is, consider an infinite monatomic chain consisting of particles of mass m connected to nearest neighbors with spring constant C, with the exception of one particle which has
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a mass M. This is a simple example of defect induced localized states in a crystal.] (25) 2. ISSP, Ch. 5, Problem 1 (25) 3. ISSP, Ch. 5, Problem 2 (The bulk modulus B is defined by the relation U = ½ B δ 2 , where U is the energy of a solid and " = # V $ V V = % V V is the dilation. See page 80 of ISSP.) Also, (c) Estimate the Debye-Waller factor for the first non-zero diffraction beam. (25) 4. ISSP, Ch. 5, Problem 3....
View Full Document

This note was uploaded on 08/01/2008 for the course PHYSICS 141A taught by Professor Souza during the Spring '08 term at Berkeley.

Ask a homework question - tutors are online