The net potential energy E_N between two adjacent ions is sometimes represented by the expression: E_N = -C/r + D times exp (-r/rho) in which r is the interionic separation and C, d, and rho are constants whose values depend on the specific material. Derive an expression for the bonding energy E_0 in terms of the equilibrium interionic separation r_0 and the constants D and rho. Derive another expression for E_0 in terms of r_0, C and rho.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter12: The Solid State
Section: Chapter Questions
Problem 12P
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The net potential energy E_N between two adjacent ions is sometimes represented by the expression: E_N = -C/r + D times exp (-r/rho) in which r is the interionic separation and C, d, and rho are constants whose values depend on the specific material. Derive an expression for the bonding energy E_0 in terms of the equilibrium interionic separation r_0 and the constants D and rho. Derive another expression for E_0 in terms of r_0, C and rho.
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