Final answer:
The atomic radius of tungsten in a body-centered cubic unit cell with an edge length of 3.165 Å is 0.144 Å.
Step-by-step explanation:
The atomic radius of tungsten in a body-centered cubic unit cell can be calculated using the formula:
Atomic radius = (Edge length)/(4 * sqrt(3))
Given that the edge length is 3.165 Å, we can substitute this value into the formula to find the atomic radius of tungsten in this structure:
Atomic radius = (3.165 Å)/(4 * sqrt(3)) = 0.144 Å