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Question

A compound forms hexagonal close-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 tetrahedral voids in $$1$$ unit cell $$HCP=12$$
Number of octahedral voids in $$1$$ unit cell $$HCP=6$$
Total voids in $$1$$ unit cell $$HCP=18$$
Total voids in $$1$$ unit cell $$HCP=18$$
Total number of voids in $$0.5 \ mol \ HCP= 18 \times \cfrac 12 \times 6.02 \times 10^{23}= 5.4 \times 10^{24} \ voids$$
Total number of tetrahedral voids in $$0.5 \ mol \ HCP= 12 \times \cfrac 12 \times 6.02 \times 10^{23}= 3.612 \times 10^{24} \ voids$$

Chemistry

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