Q.
Match the type of unit cell given in Column I with the features given in Column II.
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a
A - 1,2 ; B - 2,3 ; C - 3,4 ; D - 3,5
b
A - 2,3 ; B - 3,4 ; C - 3,5 ; D - 1,4
c
A -1,2,3 ; B - 2,3 ; C - 3,4,5 ; D - 3,5
d
A - 1,3 ; B - 1,3 ; C - 3,5 ; D - 1,4
answer is B.
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Detailed Solution
A. →(2,3) B. →(3,4) C. →(3,5) D. →(1,4)A. For primitive unit cell, a = b = c Total number of atoms per unit cell = 1/8 x 8 = 1 Here, 1/8 is due to contribution of each atom present at corner.B. For body centred cubic unit cell, a = b = c This lattice contain atoms at corner as well as body centre. Contribution due to atoms at corn€r = 1/ 8 x 8 = 1 Contribution Due to atoms at body centre = 1C. For face centred unit cell, a = b = c Total constituent ions per unit cell present at corners =18×8=1 Total constituent ions per unit cell present at face centre =12×6=3D.For end centered orthorhombic unit cell,a≠b≠c Total contribution of atoms present at corner =18×8=1 Total contribution of atoms present at end centre =12×2=1Hence, other than corner it contain total one atom per unit cell.
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