The network potential energy EN in between two surrounding ions is occasionally represented by the expression

**in i m sorry r is the interionic separation and also C, D, and ρ room constants whose values count on the specific material.You are watching: The net potential energy en between two adjacent ions, is sometimes represented by the expression**

**(a) derive an expression for the bonding energy E0 in terms of the equilibrium interionic separation r0 and the constants D and ρ using the complying with procedure:**

**1. Distinguish EN through respect come r and collection the resulting expression equal to zero.**

**2. Resolve for C in terms of D, ρ, and r0.**

**3. Recognize the expression because that E0 by substitution because that C in Equation 2.12.**

**(b) Derive one more expression because that E0 in terms of r0, C, and also ρ making use of a procedure analogous to the one outlined in component (a).**

The

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The

**net**

**potential**

**energy**

**EN**

**between**

**two**

**adjacent**

**ions**

**is**

**sometimes**

**represented**

**by**

**the**expression...... ...

**D,**Ï,

**and**r0.

**3.**

**Determine**

**the**

**expression**

**for**E0

**by**

**substitution**

**for**

**C**

**in**

**Equation**

**2.12.**

**(b)**

**Derive**

**another**

**expression**

**for**E0

**in**

**terms**

**of**r0,

**C,**

**and**Ï

**using**

**a**

**procedure**

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**The**

**net**

**potential**

**energy**

**between**

**two**

**adjacent**ions, EN, might be

**represented**

**by**

**the**sum

**of**Equations...... ... Curve

**of**

**EN**matches

**r**

**is**

**a**minimum in ~ E0.

**2.**

**Solve**

**for**

**r**

**in**

**terms**

**of**A, B,

**and**n,

**which**returns r0,

**the**

**equilibrium**

**interionic**spacing.

**3.**

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## Questions connected to materials Science Engineering

Materials Science engineering Questions

EN (2.12) + P.

Materials Science engineering Questions

## Transcribed picture Text

EN (2.12) + P.

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