EN =- 2) r in which r is the interionic separation and C, D, and p are constants whose values depend on the specific material. + Dexp Equation 7.1. (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. 3. Determine the expression for Eo by substitution for C in the given the Equation 7.1. (b) Derive another expression for Eo in terms of ro, C, and p using a procedure analogous to the one outlined in part (a).

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EN
C
+ Dexp
Equation 7.1.
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.
3. Determine the expression for Eo by substitution for C in the given the Equation 7.1.
(b) Derive another expression for Éo in terms of ro, C, and p using a procedure analogous to the one
outlined in part (a).
Transcribed Image Text:EN C + Dexp Equation 7.1. 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. 3. Determine the expression for Eo by substitution for C in the given the Equation 7.1. (b) Derive another expression for Éo in terms of ro, C, and p using a procedure analogous to the one outlined in part (a).
7. The net potential energy En between two adjacent ions is sometimes represented by the expression
Transcribed Image Text:7. The net potential energy En between two adjacent ions is sometimes represented by the expression
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