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Compute the atomic packing factor for the diamond cubic crystal structure. Assume that bonding atoms touch one another, that the angle between adjacent bonds is , and that each atom internal to the unit cell is positioned a/4 of the distance away from the two nearest cell faces (a is the unit cell edge length).
To compute the atomic packing factor (APF) for the rock salt (NaCl) crystal structure in which the cation-to-anion radius ratio is 0.414, Equation 3.3 is used:
Where we first have to determine sphere (atom) volume () and unit cell volume ().
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