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 the face-centered cubic (FCC) lattice for aluminum, we can follow these steps:

### Step 1: Understand the FCC Structure
In a face-centered cubic (FCC) lattice, there are atoms located at each of the corners of the cube and at the center of each face.

### Step 2: Relate the Edge Length and Atomic Radius
For an FCC lattice, the relationship between the edge length \( a \) and the atomic radius \( r \) can be derived from the geometry of the cube. The diagonal of the face of the cube can be expressed in terms of the atomic radius.

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