If the length of the body diagonal of a cube | vedclass

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(A) In a cubic unit cell,the body diagonal length is given by $d = a\sqrt{3}$,where $a$ is the edge length. Given $d = x$,so $a = x/\sqrt{3}$.Tetrahed

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$x/4$

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(A) In a cubic unit cell,the body diagonal length is given by $d = a\sqrt{3}$,where $a$ is the edge length. Given $d = x$,so $a = x/\sqrt{3}$.Tetrahedral voids are located at a distance of $\frac{a\sqrt{3}}{4}$ from the corners of the cube.The distance of the body diagonal from the corner to the center is $\frac{d}{2} = \frac{x}{2}$.The distance of the tetrahedral void from the center of the cube is $\frac{d}{2} - \frac{d}{4} = \frac{d}{4}$.Substituting $d = x$,the distance is $x/4$.

If the length of the body diagonal of a cube is $x$,then the tetrahedral void will be at a distance of ....... from the center of the cube.

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