The primitive translation vector of the face centre cubic (FCC) crystal structure may be as: 1 1 a₁ a; = — a(8 + 9); a¿ = ²a( + 2); az = = a(8 + 2) - Calculate: 1. The volume of the primitive unit cell. 2. The reciprocal translation vectors: ai, az, a3, of the primitive lattice. 3. The volume of the reciprocal unit cell. 4. Determine the crystal structure of the reciprocal lattice.
The primitive translation vector of the face centre cubic (FCC) crystal structure may be as: 1 1 a₁ a; = — a(8 + 9); a¿ = ²a( + 2); az = = a(8 + 2) - Calculate: 1. The volume of the primitive unit cell. 2. The reciprocal translation vectors: ai, az, a3, of the primitive lattice. 3. The volume of the reciprocal unit cell. 4. Determine the crystal structure of the reciprocal lattice.
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Hi, please answer all these questions for me. Most importantly number 4, please don't skip steps on that one.
![Question 1: (23%)
The primitive translation vector of the face centre cubic (FCC) crystal structure may be taken
as:
1
1
2)
āî = ¾a(8 + 9); ā¿ =
· + 9); āį = = a(9 + 2); ā3 = = a (x + ²
Calculate:
1. The volume of the primitive unit cell.
2. The reciprocal translation vectors: ai, a2, a3, of the primitive lattice.
3. The volume of the reciprocal unit cell.
4. Determine the crystal structure of the reciprocal lattice.
[3]
[9]
[5]
[6]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F185e29ec-82f4-4745-b139-214350fea761%2F6b0a83e2-8a91-4e36-9f59-46ec45ebefa5%2Fjbyx6wj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1: (23%)
The primitive translation vector of the face centre cubic (FCC) crystal structure may be taken
as:
1
1
2)
āî = ¾a(8 + 9); ā¿ =
· + 9); āį = = a(9 + 2); ā3 = = a (x + ²
Calculate:
1. The volume of the primitive unit cell.
2. The reciprocal translation vectors: ai, a2, a3, of the primitive lattice.
3. The volume of the reciprocal unit cell.
4. Determine the crystal structure of the reciprocal lattice.
[3]
[9]
[5]
[6]
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