2. Crystal Structure

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Miller indices for crystallographic planesMiller notation system (hkl)Miller index – the reciprocals of the fractionalintercepts that the plane makes with the x, y,and z axes of the three nonparallel edges ofthe cubic unit cellprocedure for determining Miller index:(1) choose a plane not pass through (0, 0, 0)(2) determine the intercepts of the plane withx, y, and z axes(3) form the reciprocals of these intercepts(4) find the smallest set of whole numbersthat are in the same ratio as the interceptsex.10
ex. draw the following crystallographic planesin cubic unit cell:(a) (101) (b) (110)(c) (221)planes of a family or form {hkl}ex. (100), (010), (001) are a family{100}an important relationship for cubic system,the direction indices of a direction perpendicularto a crystal plane are the same as the Millerindices of that plane11
Page 2: crystal systemonly 7 different type
Page 5 and 6: BCCFCCcoordination number = 8total
Page 7 and 8: the closest packingHCPa b a b a …
Page 9: directions are crystallographically
Page 13 and 14: hexagonal structureMiller-Bravais i
Page 15 and 16: volume, planar, linear densityvolum
Page 17 and 18: no. of atoms = ½ + 1 + ½ = 2 atom
Page 19 and 20: X-ray diffractionreflected wave pat
Page 21 and 22: diffraction pattern for cubic unit
Page 23: BCC {110) and {200}sin 2 θ A h 2 A

2. Crystal Structure

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