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Q.

Match the type of unit cell given in Column I with the features given in Column II.
 

 Column I Column I
A.Primitive cubic unit cell1.Each of the three perpendicular edges compulsorily have the different edge length,i.e abc
B.Body centred cubic unit cell2.Number of atoms per unit cell is one.
C.Face centred cubic unit cell3.Each of the three perpendicular edges compulsorily have the same edge length,i.e.a=b=c.
D.End centred orthorhombic unit cell4.In addition to the contribution from the corner atoms the number of atoms present in a unit cell is one.
  5.In addition to the contribution from the corner atoms the number of atoms present in a unit cell is three.

 

 

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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 = 1
C. 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=3
D.For end centered orthorhombic unit cell,abc
   Total contribution of atoms present at corner
                  =18×8=1
   Total contribution of atoms present at end centre
                  =12×2=1
Hence, other than corner it contain total one atom per unit cell.

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