Reciprocal lattice Real space lattice.

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Presentation transcript:

Reciprocal lattice Real space lattice

Real space lattice - basis vectors Reciprocal lattice Real space lattice - basis vectors a a

Real space lattice - choose set of planes Reciprocal lattice Real space lattice - choose set of planes (100) planes n100

Real space lattice - interplanar spacing d Reciprocal lattice Real space lattice - interplanar spacing d (100) planes d100 1/d100 n100

Real space lattice ––> the (100) recip lattice pt Reciprocal lattice Real space lattice ––> the (100) recip lattice pt (100) planes d100 n100 (100)

Reciprocal lattice The (010) recip lattice pt n010 (100) planes d010

Reciprocal lattice The (020) recip lattice pt n020 (100) planes d020 (010) (020) (100)

Reciprocal lattice More recip lattice pts (100) planes (010) (020)

Reciprocal lattice The (110) recip lattice pt (100) planes n110 d110 (010) (020) (100) (110)

Still more recip lattice pts Reciprocal lattice Still more recip lattice pts (100) planes (010) (020) (100) the reciprocal lattice (230)

Reciprocal lattice Recip lattice notation

Reciprocal lattice Hexagonal real space lattice

Reciprocal lattice Hexagonal real space lattice

Reciprocal lattice Hexagonal real space lattice

Reciprocal lattice Hexagonal real space lattice

Reciprocal lattice