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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![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25fce74d-50ce-4010-8593-c528dce466b9%2F723c7e50-0e29-4087-bee0-4a555e3cab69%2F1tgwtga_processed.png&w=3840&q=75)
Transcribed Image Text: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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25fce74d-50ce-4010-8593-c528dce466b9%2F723c7e50-0e29-4087-bee0-4a555e3cab69%2Fspctfg_processed.png&w=3840&q=75)
Transcribed Image Text: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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