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Unformatted text preview: the visualization aids on the web page or the images in your text. 5) Given the 2demensional lattice shown below with unit cell vectors a 1 and b 1 , draw and show 4 different unit cells labeling which one/ones are the primitive unit cells. 6) Extend ONE unit cell into the 3 rd dimension to give one possible 3D unit cell (draw your unit cell answer). 7) Identify 2 crystalline directions in a cubic system which are perpendicular to the [111] direction. Note that the cosine of the angle T between two arbitrary directions [h 1 k 1 l 1 ] and [h 2 k 2 l 2 ] in a cubic crystal is: ( ) ( ) ( ) 2 2 2 2 2 2 2 1 2 1 2 1 2 1 2 1 2 1 cos l k h l k h l l k k h h + + + + + + = Resulting in the condition for two directions to be perpendicular (cos(T)=0) being: h 1 h 2 + k 1 k 2 + l 1 l 2 = 0...
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 Spring '08
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