160 week1 examples

# 160 week1 examples - C r y s ta llo g r a p h ic d ir e c...

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1 Crystallographic directions For (1) Move so that it starts at a convenient origin The vector is 0 i + 1 j + 0 k Direction is the [010] where A specific direction is given in [ ] A family of directions is given in < > a c b (3) (2) (1) Crystallographic directions are ALWAYS integers 2 Crystallographic directions For (2) The vector is 1 i + 0 j + 1 k [101] a c b (3) (2) (1)

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3 Crystallographic directions For (3) Move the vector so it starts at an origin The vector is -1 i - 1 / 2 j + 0 k Direction is the The bars over the numbers mean negative numbers a c b (3) (2) (1) [ 2 10] 4 Family of directions A specific direction is given in square brackets [ ] In one unit cell, there are many of the same type of direction as [ ] Example (2) 12 directions of the type [110] Family is <110> a c b The other 3 faces are in other unit cells [110], [101]. [011] [ 1 10], [ 1 01], [0 1 1] [1 1 0], [10 1 ], [01 1 ] [ 1 1 0], [ 1 0 1 ], [0 1 1 ]
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160 week1 examples - C r y s ta llo g r a p h ic d ir e c...

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