(a) Interpretation: The number of atoms per FCC unit cell needs to be calculated. Concept Introduction: Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74. Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R .

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Answer 1

Question

Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

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Answer 2

Question

Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

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Answer 3

Question

Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

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Answer 4

Question

Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

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Answer 5

Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Answer 6

Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Answer 7

Chapter 3, Problem 3.83P

Interpretation Introduction

(a)

Interpretation:

The number of atoms per FCC unit cell needs to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The coordinates of smaller atoms with radius r per unit cell is to be determined.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Answer 10

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Answer 11

Interpretation Introduction

(c)

Interpretation:

The atomic packing fraction for FCC structure is to be calculated.

Concept Introduction:

Atoms in FCC structure have radius R. Atoms with R radius consume 74% of total volume of the unit cell and the remaining 26% is empty. Packing fraction of FCC structure is 0.74.

Assume that remaining space in the unit cell is required with smaller atoms of radius r = 0.414 R.

Answer 12

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Answer 23

Ch. 3 - Prob. 3.1P Ch. 3 - Prob. 3.2P Ch. 3 - Prob. 3.3P Ch. 3 - Prob. 3.4P Ch. 3 - Prob. 3.5P Ch. 3 - Prob. 3.6P Ch. 3 - Prob. 3.7P Ch. 3 - Prob. 3.8P Ch. 3 - Prob. 3.9P Ch. 3 - Prob. 3.10P

Solution Summary: The author calculates the number of atoms per FCC unit cell. Atoms with R radius consume 74% of total volume and the remaining 26% is empty.

Chapter 3 Solutions