3. Show that in an ideal hexagonal-close-packed (hcp) structure, where the atomic spheres touch each other, the ratio cļa is given by : -(G)" 8 \1/2 = 1.633.
3. Show that in an ideal hexagonal-close-packed (hcp) structure, where the atomic spheres touch each other, the ratio cļa is given by : -(G)" 8 \1/2 = 1.633.
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Transcribed Image Text:3. Show that in an ideal hexagonal-close-packed (hcp) structure, where the atomic
spheres touch each other, the ratio c/a is given by
:-()*
( 8 \ 1/2
= 1.633.
(The hep structure is discussed in Section 7.)
4 The packing ratio is defined as the fraction of the total volume of the cell that is
filled by atoms. Determine the maximum values of this ratio for equal spheres
located at the points of simple-cubic, body-centered-cubic, and face-centered-cubic
crystals.
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