Chem! HELP!! :) :) :)?
Vanadium crystallizes in a body-centered cubic lattice (the V atoms occupy only the lattice points). How many V atoms are present in a unit cell?!
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Body-centred cubic lattice means the eight corners of a cube and the centre of the cube are occupied by vanadium atoms.
Each corner is shared by eight neighbouring cells. Hence, each corner contributes 1/8 atom.
So, there are
8 x 1/8 = 1 atom
The atom in the centre of the cube is totally belongs to the unit cell. So, it contributes one atom.
Overall, the number of V atoms in a unit cell is 1 + 1 = 2
Each corner is shared by eight neighbouring cells. Hence, each corner contributes 1/8 atom.
So, there are
8 x 1/8 = 1 atom
The atom in the centre of the cube is totally belongs to the unit cell. So, it contributes one atom.
Overall, the number of V atoms in a unit cell is 1 + 1 = 2
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