If a stands for the edge length of the cubic | vedclass

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Question

(C) For a simple cubic unit cell,the relationship between radius $r$ and edge length $a$ is $r = \frac{a}{2}$.For a body-centered cubic $(BCC)$ unit c

Vedclass · Accepted Answer

$\frac{1}{2}a : \frac{\sqrt{3}}{4}a : \frac{1}{2\sqrt{2}}a$

Vedclass · Answer

(C) For a simple cubic unit cell,the relationship between radius $r$ and edge length $a$ is $r = \frac{a}{2}$.For a body-centered cubic $(BCC)$ unit cell,the relationship is $r = \frac{\sqrt{3}a}{4}$.For a face-centered cubic $(FCC)$ unit cell,the relationship is $r = \frac{a}{2\sqrt{2}}$.Therefore,the ratio of the radii of the spheres in these systems is $\frac{a}{2} : \frac{\sqrt{3}a}{4} : \frac{a}{2\sqrt{2}}$.

If $a$ stands for the edge length of the cubic systems: simple cubic,body-centered cubic,and face-centered cubic,then the ratio of radii of the spheres in these systems will be respectively:

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