The Laue Equations describe the intensity of a diffracted peak from a single crystal 11sin(-so)Na sin(/s-s0)Nadz sin'(/As-so).N,a, sin2(π/)s-so)a1sin2(π/2-so)•a2sin2(π/2)s-so)a3 o N,,N2,and Na are the number of unit cells along the a,a2,and a3 directions When N is small,the diffraction peaks become broader 5000 400 4500 N=99 350 N=20 4000 N=20 300 N=10 3500 N=10 250 3000 N=5 N=5 2500 200 一N=2 N=2 2000 150 1500 100 1000 500 0 0 2.4 2.9 3.4 2.4 2.9 3.4The Laue Equations describe the intensity of a diffracted peak from a single crystal • N1, N 2, and N 3 are the number of unit cells along the a1, a 2, and a 3 directions • When N is small, the diffraction peaks become broader                      3 2 3 3 2 2 2 2 2 2 1 2 1 1 2 2 sin / sin / sin / sin / sin / sin / s s a s s N a s s a s s N a s s a s s N a I I F O O O O O O e                          0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 2.4 2.9 3.4 N=99 N=20 N=10 N=5 N=2 0 50 100 150 200 250 300 350 400 2.4 2.9 3.4 N=20 N=10 N=5 N=2