513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
of Elements

      

Fourier series

A two dimensional periodic function is defined such that it has a constant value c inside hexagons that are arranged on a hexagonal pattern and is zero outside the hexagons.

This periodic function can be written as a Fourier series,

(a) How are the reciprocal lattice vectors G determined?

(b) How are the structure factors fG determined?