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The number of atoms in a unit cell of a ...

The number of atoms in a unit cell of a cubic crystal system is 2, the arrangement of atoms is

A

body centred cubic

B

face centred cubic

C

end centred cubic

D

simple cubic

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To determine the arrangement of atoms in a cubic crystal system with 2 atoms per unit cell, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Unit Cell**: - A unit cell is the smallest repeating unit in a crystal lattice. In a cubic crystal system, the unit cell can be of different types: Simple Cubic (SC), Body-Centered Cubic (BCC), and Face-Centered Cubic (FCC). 2. **Identifying the Number of Atoms**: - The question states that there are 2 atoms in the unit cell. We need to identify which type of cubic arrangement corresponds to this number. 3. **Analyzing the Types of Cubic Structures**: - **Simple Cubic (SC)**: Contains 1 atom per unit cell (1 atom at each corner contributes 1/8 of an atom from each of the 8 corners: 8 * 1/8 = 1). - **Body-Centered Cubic (BCC)**: Contains 2 atoms per unit cell (1 atom at each of the 8 corners contributes 1/8 from each corner: 8 * 1/8 = 1, plus 1 atom at the body center). - **Face-Centered Cubic (FCC)**: Contains 4 atoms per unit cell (1 atom at each of the 8 corners contributes 1/8 from each corner: 8 * 1/8 = 1, plus 1 atom at each of the 6 faces contributing 1/2 from each face: 6 * 1/2 = 3, totaling 4). 4. **Conclusion**: - Since we have established that the BCC structure has 2 atoms per unit cell (1 from the corners and 1 from the body center), we conclude that the arrangement of atoms in this case is Body-Centered Cubic (BCC). ### Final Answer: The arrangement of atoms in a cubic crystal system with 2 atoms per unit cell is **Body-Centered Cubic (BCC)**.

To determine the arrangement of atoms in a cubic crystal system with 2 atoms per unit cell, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Unit Cell**: - A unit cell is the smallest repeating unit in a crystal lattice. In a cubic crystal system, the unit cell can be of different types: Simple Cubic (SC), Body-Centered Cubic (BCC), and Face-Centered Cubic (FCC). 2. **Identifying the Number of Atoms**: ...
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