The unit cell of tungsten is a face-centred cube having a volume of 31.699`( A^(∘))^ (3)` . The atom at the centre of each face just touches the atoms at the corners. Calculate the radius and atomic volume of tungsten.

Explanation

To solve the problem, we need to calculate the radius and atomic volume of tungsten given that it has a face-centered cubic (FCC) structure with a volume of 31.699 ų.

### Step-by-Step Solution:

**Step 1: Calculate the edge length (a) of the unit cell.**

The volume of the unit cell (V) is given by the formula:
\[ V = a^3 \]
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