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The Solid State

Question
CBSEENCH12005364

A compound forms hexagonal closed-packed structure. What is the total number of voids in 0.5 mol of it? How many of these are tetrahedral voids?

Solution
Number of closed packed particeles                          =0.5×6.022×1023=3.011×1023  
therefore number of octhahedral voids                    =   3.011×1023
and number oftetrahedral voids =2×3.011×1023=6.022×1023
therefore total number of voids=3.011×1023 +6.022×1023 =9.033×1023.