write the sort note on cubic closed packing in 3 dimensional?
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Close packing:- The packing of spheres in such away such that they occupy maximum available space and left minimum empty space it is called close packing.
Close packing in one dimension:– In one dimension the spheres can be arranged in a row touching each other called packing in one dimension each sphere touch two of its neighbors so its coordination no. is 6
Close – packing in two dimensions:- When the rows are stacked over each other a two dimensional close packed structure [called crystal plane] is formed. This stacking can be done in two ways.
AAA type:-The sphere in second row may be placed in the way such that they are touching each sphere of first row and exactly above sphere of first row in this type coordination no. is 4
ABA type:- The sphere in second row may be placed in depression of first row. This produces a different raw from 1st type in this coordination no. is 6.
Close packing in three dimensions:- Three dimensional close packing from two dimensional (AAA) square close packed structure:-
Starting from square close packed layer:- The second layer and all further layers are build up such that they are horizontally as well as vertically aligned on each other. Thus their lattice is of AAA type. It unit cell is primitive unit cell.
Three dimensional close packing from two dimensional hexagonal close packed layer:-
Let in hexagonal close packing the sphere are marked as A and voids between spheres are marked as a, b alternatively.
When the second layer is placed in such a way that its spheres. Find place in a voids of first layer the b void left in occupied since in this arrangement no sphere can be placed in them.
Now come to have the two types of voids c and d.
Close packing in one dimension:– In one dimension the spheres can be arranged in a row touching each other called packing in one dimension each sphere touch two of its neighbors so its coordination no. is 6
Close – packing in two dimensions:- When the rows are stacked over each other a two dimensional close packed structure [called crystal plane] is formed. This stacking can be done in two ways.
AAA type:-The sphere in second row may be placed in the way such that they are touching each sphere of first row and exactly above sphere of first row in this type coordination no. is 4
ABA type:- The sphere in second row may be placed in depression of first row. This produces a different raw from 1st type in this coordination no. is 6.
Close packing in three dimensions:- Three dimensional close packing from two dimensional (AAA) square close packed structure:-
Starting from square close packed layer:- The second layer and all further layers are build up such that they are horizontally as well as vertically aligned on each other. Thus their lattice is of AAA type. It unit cell is primitive unit cell.
Three dimensional close packing from two dimensional hexagonal close packed layer:-
Let in hexagonal close packing the sphere are marked as A and voids between spheres are marked as a, b alternatively.
When the second layer is placed in such a way that its spheres. Find place in a voids of first layer the b void left in occupied since in this arrangement no sphere can be placed in them.
Now come to have the two types of voids c and d.
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