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The regular three dimensional arrangemen...

The regular three dimensional arrangement of points in a crystal is known as crystal lattice and the smallest repeating pattern in the lattice is called unit cell. The unit cells are characterised by the edge lengths a, b, c and the angles between them `alpha, beta and gamma` respectively. Based on this, there are seven crystal systems. In a cubic unit cell:
`a=b=c and alpha = beta=gamma=90^(@)` The number of points in simple, body centred and face centred cubic cells are 1,2 and 4 respectively In both the hcp and ccp of spheres, the number of tetrahedral voids per sphere is two while the octahedral voids is one.
In a face centred cubic cell, an atom at the face contributes to the unit cell

A

1 part

B

`1//2` part

C

`1//4` part

D

`1//8` part

Text Solution

Verified by Experts

The correct Answer is:
B

In fcc unit cell, an atom at the face centre is in contact with two unit cells. It contribution to the unit cell `=1//2`
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Knowledge Check

  • The regular three dimensional arrangement of points in a crystal is known as crystal lattice and the smallest repeating pattern in the lattice is called unit cell. The unit cells are characterised by the edge lengths a, b, c and the angles between them alpha, beta and gamma respectively. Based on this, there are seven crystal systems. In a cubic unit cell: a=b=c and alpha = beta=gamma=90^(@) The number of points in simple, body centred and face centred cubic cells are 1,2 and 4 respectively In both the hcp and ccp of spheres, the number of tetrahedral voids per sphere is two while the octahedral voids is one. The C.N of cation occuppying an octahedral vois is:

    A
    4
    B
    6
    C
    8
    D
    12
  • The regular three dimensional arrangement of points in a crystal is known as crystal lattice and the smallest repeating pattern in the lattice is called unit cell. The unit cells are characterised by the edge lengths a, b, c and the angles between them alpha, beta and gamma respectively. Based on this, there are seven crystal systems. In a cubic unit cell: a=b=c and alpha = beta=gamma=90^(@) The number of points in simple, body centred and face centred cubic cells are 1,2 and 4 respectively In both the hcp and ccp of spheres, the number of tetrahedral voids per sphere is two while the octahedral voids is one. A double triangular void surrounded by three spheres above and three spheres below is called

    A
    triangular void
    B
    tetrahedral void
    C
    octahedral void
    D
    trigonal bipyramidal void
  • For a crystal system a=b=c and alpha=beta=gammane90^(@)

    A
    Tetragonal
    B
    Hexagonal
    C
    Rhombohedral
    D
    Monoclinic
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