513.001 Molecular and Solid State Physics | |
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Rhombohedral unit cellConsider a rhombohedral lattice. All primitive lattice vectors have a length a and the angles between the primitive lattice vectors are all the same α = β = γ. Show that the primitive lattice vectors in real space can be chosen to have the form, Here a and b are constants. Find the primitive reciprocal lattice vectors and show that the reciprocal lattice is again of rhombohedral type. Additionally show that the angle α* between any pair of the primitive reciprocal lattice vectors is cosα* = -cosα/(1 + cosα). |