The net potential energy EN between two adjacent ions is sometimes represented by the expression C ; - - - + Dexp(-6) (2.18) r EN in which r is the interionic separation and C, D, and p are constants whose values depend on the specific material. (a) Derive an expression for the bonding energy Eo in terms of the equilibrium interionic separation ro and the constants D and p using the following procedure: 1. Differentiate EN with respect to r and set the resulting expression equal to zero. 2. Solve for C in terms of D, p, and ro.

The net potential energy EN between two adjacent ions is sometimes represented by the expression C ; - - - + Dexp(-6) (2.18) r EN in which r is the interionic separation and C, D, and p are constants whose values depend on the specific material. (a) Derive an expression for the bonding energy Eo in terms of the equilibrium interionic separation ro and the constants D and p using the following procedure: 1. Differentiate EN with respect to r and set the resulting expression equal to zero. 2. Solve for C in terms of D, p, and ro.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

3. Determine the expression for Eo by substitution for C in Equation 2.18.
(b) Derive another expression for Eo in terms of ro, C, and p using a procedure analogous
to the one outlined in part (a).

The net potential energy EN between two adjacent ions is sometimes represented by the expression
C
; - - - + Dexp(-6)
(2.18)
r
EN
in which r is the interionic separation and C, D, and p are constants whose values depend on the
specific material.
(a) Derive an expression for the bonding energy Eo in terms of the equilibrium interionic
separation ro and the constants D and p using the following procedure:
1. Differentiate EN with respect to r and set the resulting expression equal to zero.
2. Solve for C in terms of D, p, and ro.

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