A metal crystallizes in a closed packed structure, theatoms stack together occupying maximum space and leaving minimum vacant space. Each sphere in the first layer is in contact with six neighbours. Now while arranging the second layer on the first layer, spheres are placed in depression of first layer. Spheres of third layer lie in the depression of second layer. This repeating arrangement of atoms produces a giant lattice. If sphere of third layer do not lie directly over the atoms of first layer, then density of unit cell is, (Given: atomic weight of metal is 197u and a=4.07Å)

A metal crystallizes in a closed packed structure, theatoms stack toge

1.	A metal crystallizes in a closed packed structure, theatoms stack together occupying maximum space and leaving minimum vacant space. Each sphere in the first layer is in contact with six neighbours. Now while arranging the second layer on the first layer, spheres are placed in depression of first layer. Spheres of third layer lie in the depression of second layer. This repeating arrangement of atoms produces a giant lattice. If sphere of third layer do not lie directly over the atoms of first layer, then density of unit cell is, (Given: atomic weight of metal is 197u and a=4.07Å)
Answer» `86.5 G//"cc"` `19.7 ` g/cc `56.2` g/cc `40.5` g/cc Solution :Above information REPRESENT cubic close packing `RHO=(197xx4)/((4.07)^(3)xx10^(-24)xx6.02xx10^(23))` `rho=19.41`g/cc