(a) Derive linear density expressions for FCC [100] and [111] directions in terms of the atomic radius R and (b) compute linear density values for these two directions for silver. (a) [100]: i [111]: i (b) [100]: i [111]: i atom/R atom/R 1/m 1/m

Elements Of Electromagnetics
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### Deriving Linear Density Expressions for FCC

**Objective:**  
Derive linear density expressions for face-centered cubic (FCC) crystal structures in the [100] and [111] directions in terms of the atomic radius \( R \). Additionally, compute linear density values for these directions specifically for silver.

---

**(a) Linear Density Expressions:**

1. **[100] Direction:**
   - Input box for calculation: \(\_\_\_\_\_\_\) atoms/R

2. **[111] Direction:**
   - Input box for calculation: \(\_\_\_\_\_\_\) atoms/R

---

**(b) Computation of Linear Density Values:**

1. **[100] Direction:**
   - Input box for calculation: \(\_\_\_\_\_\_\) 1/m

2. **[111] Direction:**
   - Input box for calculation: \(\_\_\_\_\_\_\) 1/m

---

These sections require filling in the calculations based on the formulas derived in the [100] and [111] directions using the atomic radius \( R \) for silver. The results will be expressed in terms of atoms per unit distance or reciprocal meters.
Transcribed Image Text:### Deriving Linear Density Expressions for FCC **Objective:** Derive linear density expressions for face-centered cubic (FCC) crystal structures in the [100] and [111] directions in terms of the atomic radius \( R \). Additionally, compute linear density values for these directions specifically for silver. --- **(a) Linear Density Expressions:** 1. **[100] Direction:** - Input box for calculation: \(\_\_\_\_\_\_\) atoms/R 2. **[111] Direction:** - Input box for calculation: \(\_\_\_\_\_\_\) atoms/R --- **(b) Computation of Linear Density Values:** 1. **[100] Direction:** - Input box for calculation: \(\_\_\_\_\_\_\) 1/m 2. **[111] Direction:** - Input box for calculation: \(\_\_\_\_\_\_\) 1/m --- These sections require filling in the calculations based on the formulas derived in the [100] and [111] directions using the atomic radius \( R \) for silver. The results will be expressed in terms of atoms per unit distance or reciprocal meters.
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