Consider a hexagonal close packed cell with cell constants c and a (see figures below). Each atom in the central layer forms equilateral tetrahedron structures with the 3 atoms directly below it (bottom, red tetrahedron in figure on the right).

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Consider a hexagonal close packed cell with cell constants c and a (see figures below). Each
atom in the central layer forms equilateral tetrahedron structures with the 3 atoms directly below
it (bottom, red tetrahedron in figure on the right).
a) Derive the ratio
b) How many tetrahedral and octahedral interstitial sites are there per hcp unit cell? Explain
your reasoning.
Transcribed Image Text:Consider a hexagonal close packed cell with cell constants c and a (see figures below). Each atom in the central layer forms equilateral tetrahedron structures with the 3 atoms directly below it (bottom, red tetrahedron in figure on the right). a) Derive the ratio b) How many tetrahedral and octahedral interstitial sites are there per hcp unit cell? Explain your reasoning.
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