MatSE 405: Microstructure Determination |

Problem set #8; due Thursday, March 13, in class.

- Make a drawing of the surface (2D) lattice for the (110) plane of Fe (bcc structure) and draw the corresponding reciprocal lattice. The cubic lattice constant of Fe is 0.29 nm. Note that the conventional unit cell for this plane of atoms is built on the centered rectangular lattice.
- Make a drawing of the surface (2D) lattice for the (0001) plane of Be (hcp structure) and draw the corresponding reciprocal lattice. The hexagonal lattice constants of Be are a=0.23 nm and c=0.36 nm.
- Make a drawing of the surface (2D) lattice for the (110) plane of Fe (bcc structure) as you did in in part 1 but this time outline the primitive unit cell and construct the corresponding primitive reciprocal lattice.
- For Cu(110), make a drawing of the Ewald-sphere construction for a low-energy-electron diffraction experiment with l = 0.06 nm electrons at normal incidence. Draw projections of both high symmetry directions.
- For a square array of apertures with lattice constant 50 mm, draw the projection of the Ewald-sphere construction for an optical diffraction experiment in transmission. Use l = 0.5 mm. Show only the central 5 diffraction conditions.

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On 06 Mar 2008, 11:20.