Gallium crystallizes in a primitive cubic unit cell. The length of an edge of this cube is 362 pm. What is the radius of a gallium atom?

Question

Moshe Bradford

Chemistry

5 June, 06:37

Gallium crystallizes in a primitive cubic unit cell. The length of an edge of this cube is 362 pm. What is the radius of a gallium atom?

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Ainsley Alvarado · Answer 1

In a primitive cubic unit cell, there is one atom per unit cell. And 1/4 of the atom can be found in the corners of the cell. Therefore, one length of the cubic unit cell constitutes 2 radii. The radius of an atom of Gallium would be 362 pm / 2 = 181 pm.