MATS 3011 Lecture Notes - Electronvolt, Mater Lectionis

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15 Jul 2014
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Planes distance between planes (for cubic system): dhkl = a/sqrt[h2 + k2 + l2] Angle between planes: the angle between their normals. Recall that dot product between 2 vectors if normals are [u,v,w] & [u2,v2,w2] cos(theta) = ([u1,v1,w1]. Similarly, you can also calculate the angle between 2 given directions. Diffraction light source interference pattern due to constructive and destructive interference. *don"t use visible light for it b/c wavelength is too big. With double slit experiment, you get bright (constructive interference) marks on wall and dark ones (destructive) if dsin(theta) = n for constructive interference if dsin(theta) = n /2 for destructive interference dsin(theta) Destructivethe waves cancel out dsin(theta) = n where n is an integer (for constructive interference) If /d << 1, say, /d = 0. 1for n = 1,2,3,4, theta = 5,11. 5,17. 5 What if have atoms in crystal and pass some light thought it each electron acts as scatterer. If have elastic scattering, it will release energy in waves.

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