the ratio of volume of tetragonal unit cell to that of hexagonal unit cell is
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Explanation:
The volume of the unit cell is given by the expression
V=abc[1−cos2α−cos2β−cos2γ+2cosαcosβcosγ]
For tetragonal lattice a=b=c and α=β=γ=900 and
cos900=0
The volume of tetragonal unit cell is given by the expression
V=abc[1−cos2900−cos2900−cos2900+2cos90ocos90ocos90o]
V=abc[1−0−0−0+2×0×0times0]
V=abc
For hexagonal unit cell a=b=c and α=β=90o and γ=1200 and cos90o=0, cos120o=−0.5
The volume of the hexagonal unit cell is
V=abc[1−cos290o−cos290o−cos21
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