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# Ch13d - Symmetry Symbols NCSU J D Martin Rotation Axis...

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NCSU J. D. Martin Symmetry’Symbols’ Rotation Axis 2-fold 3-fold 4-fold 6-fold 5-fold Reflection Plane C 2 1 C 3 1 C 3 2 C 3 3 C 2 2 C 4 1 C 4 2 C 4 3 C 4 4 C 5 1 C 6 1 180 o 360 o 120 o 360 o 240 o 180 o 360 o 270 o 90 o

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Symmetry’Determina0on’of’Unit’Cell’Geometry’ Unit cells: The fundamental repeat unit that represents the crystal lattice by only the operation of translation and inversion. The packing of unit cells must completely fill space. As a consequence, there will be inversion symmetry at the corner of each unit cell. NCSU J. D. Martin
Find’the’Unit’Cell’ NCSU J. D. Martin

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The’14’Bravis’La>ces’ triclinic a b c α β γ monoclinic a b c α = γ = 90 ° β orthorhombic a b c α = β = γ = 90 ° tetragonal a = b c α = β = γ = 90 ° hexagonal/trigonal a = b c α = β = 90 ° γ = 120 ° rhombohedral a = b = c α = β = γ 90 ° cubic a = b = c α = β = γ = 90 ° NCSU J. D. Martin
Distances from Diffraction Bragg’s Law n λ = 2d sin θ d = 2 (sin θ ) n λ NCSU J. D. Martin d θ θ θ n λ /2

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Ch13d - Symmetry Symbols NCSU J D Martin Rotation Axis...

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