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Atoms

Question
CBSEENPH12047749

Copper has face-centred cubic ( FCC ) lattice with interatomic spacing equal to 2.54 A. The value of lattice constant for this lattice is

  • 1.27 Ao

  • 5.08 Ao

  • 2.54 Ao

  • 3.59 Ao

Solution

D.

3.59 Ao

Denoting a crystal structure in which there is an atom at each vertex and at the centre of each face of the unit cell.

lnteratomic spacing for a FCC lattice

r = a22 + a22 + 0212    = a2a being lattice constanta = 2 r      =2 × 2.54 a  = 3.59 Ao

Note:- interatomic spacing is just the nearest neighbours distance.