513.001 Molecular and Solid State Physics

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A two-dimensional crystal - Exam Dec 2013

A two dimensional crystal has a rectangular Bravais lattice (b = √2a) and a basis of two atoms which are located at 0 0 and 0.25 0.5. The electron densities of both atoms can be approximated by a gaussian function n(r) = 0.2 exp(-20(r/a)2). Explain how you could calculate the structure factors of S(1 0), S(0 1), S(1 1), and S(1 2) from this information.

How could you measure the structure factors?