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20111ee123B_1_EE123B_HW1_Solutions

20111ee123B_1_EE123B_HW1_Solutions - CHAPTER 1 1 The...

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C HAPTER 1 1. The vectors ˆ ˆ ˆ + + x y z and ˆ ˆ ˆ + x y z are in the directions of two body diagonals of a cube. If θ is the angle between them, their scalar product gives cos θ = –1/3, whence . 1 cos 1/3 90 19 28' 109 28' θ = = °+ ° = ° 2. The plane (100) is normal to the x axis. It intercepts the a' axis at and the c' axis at ; therefore the indices referred to the primitive axes are (101). Similarly, the plane (001) will have indices (011) when referred to primitive axes.
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