PHYS_545_PS2 - Ii“ fl Physics 545 Due Problem Set 2 Prove...

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Unformatted text preview: Ii“ , fl Physics 545 Due: Problem Set 2 . Prove that the reciprocal lattice of the reciprocal lattice is the direct lattice. . Show that the reciprocal lattice of the body centered cubic lattice is the face centered cubic lattice. . Let ahag, and a; be the primitive translations of a crystal lattice and bhbg and b3 the primitive translations of its reciprocal lattice. Show (27?? [813283] 11 [b1 bzlg] = . For a bee lattice calculate the number of atoms per cm2 in the planes {100}, {110}, and {111}. . Prove that the body centered and face centered ‘rhombohedral lattice are simple rhombohedral. . The opposite faces of some crystals become electrically charged simply as a result of a change in temperature; this phenomenon is called pyroelectricity. Show that such a phenomenon can occur only in crystals which lack center of inversion. ...
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