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Calculate the packing efficiency in simple cubic lattice. |
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Answer» Solution :Packing efficiency of metal crystal for simple CUBIC lattice. Let a be the edge length of the UNIT cell and r be radius of the sphere. Volume of the sphere `= (4)/(3) pi r^(3)`  As the spheres at the corners are touching each other, the edge length a = 2r Volume of the cube `= a^(3) = 8r^(3)` % of the SPACE occupied by spheres `= ("Volume of sphere")/("Volume of cube") xx 100` `= ((4)/(3) pi r^(3) xx 100)/(8r^(3)) = 52.4%` Packing efficiency of simple cubic lattice is 52.4% EXAMPLE : Silicon and GERMANIUM (Any one). |
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