A cubical crystal is such that the comers atoms are occupied by P atoms, face centers are occupied by Q atoms, alternate tetrahedral voids are occupied by R atoms and edge centers are occupied by S atoms Based on this info identify the correct option.

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If all the atoms lying on one of the body diagonal are missing, then formula should be $P Q_{4} R_{8 / 3} S_{4}$

If all the atoms lying on a line passing through body center and connecting opposite face centers are missing, then formula will be $P Q_{2} R_{4} S_{3}$

If all the atoms lying on a line passing connecting edge centers are missing, then formula should be $P_{2} Q_{5} R_{8} S_{5}$

If there are no defects in the crystal. then the formula should be $P Q_{3} R_{4} S_{3}$

answer is A, C, D.

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Detailed Solution

Correct formulas for different cases are;

If there are no defects in the crystal. then the formula should be $P Q_{3} R_{4} S_{3}$

If all the atoms lying on a line passing through body center and connecting opposite face centers are missing, then formula will be $P Q_{2} R_{4} S_{3}$

If all the atoms lying on a line passing connecting edge centers are missing, then formula should be $P_{2} Q_{5} R_{8} S_{5}$

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