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11 overheads bravais miller

# 11 overheads bravais miller - Primitivelatticevs...

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Cubic Bravais lattices are not all primitive cells P i iti ll t i b d fi iti l l tti i t Primitive lattice vs conventional lattice bcc Primitive cells contain, by definition only one lattice point conventional cell vs primitive Rhombohedron primitive cell Primitive translation vectors for bcc ) ˆ ˆ ˆ ( 1 ) ˆ ˆ ˆ ( 2 1 b z y x a a ) ˆ ˆ ˆ ( 2 1 2 z y x a c z y x a Solid State Physics, C. Kittel

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Primitive lattice vs conventional lattice fcc hcp fcc hcp conventional cell vs primitive Rhombohedral primitive cell Angles between axes are 60 o 1 ) ˆ ˆ ( 2 1 y x a a Primitive translation Solid State Physics, C. Kittel ) ˆ ˆ ( 2 1 ) ˆ ˆ ( 2 z x a c z y a b vectors
Lattice with a Basis Consider the following lattice b h Consider the following lattice: • Clearly it is not a Bravais lattice (in a Bravais lattice, the l i l k l h lattice must look exactly the same when viewed from any lattice point) c • It can be thought of as a Bravais lattice with a basis consisting of more than just one atom per lattice point – two atoms in this case. So associated with each point of the underlying Bravais lattice there are two atoms. Consequently, each primitive cell of

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11 overheads bravais miller - Primitivelatticevs...

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