Aluminum metal crystallizes in a face-centered cubic structure.The relationship between the radius of an Al atom (r)and the length of an edge of the unit cell (E)is:

Question

Quizplus · Accepted Answer

In a face-centered cubic structure, the atoms are located at the corners and in the center of each face of the cube. The length of the edge of the unit cell (E) can be described in terms of the radius of an atom (r) using the formula E = 4√2r/3. Rearranging this formula, we get r = E/(2√2/3), which simplifies to r = E/1.414. Therefore, choice B (11eaa8f0_6701_a673_93a6_65d09860b480_TB6423_11) is the correct answer as it gives the relationship between the radius of an Al atom and the length of an edge of the unit cell.

Aluminum Metal Crystallizes in a Face-Centered Cubic Structure