Aluminium metal crystallises in a face centred cubic lattice. If crystal radius of aluminium is 144 pm, the edge length of a cube is ____________. pm

Explanation

To find the edge length of a cube for aluminum metal crystallizing in a face-centered cubic (FCC) lattice with a crystal radius of 144 pm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the FCC Structure**:
In a face-centered cubic lattice, the atoms are located at each of the corners and the centers of each face of the cube. Each unit cell contains 4 atoms (1/8 from each of the 8 corners and 1/2 from each of the 6 faces).

2. **Relation Between Radius and Edge Length**:
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