12th Class Chemistry The Solid State / ठोस प्रावस्था

  • question_answer 115)
                        Match the type of unit cell given in Column I with the features given in
    Column 1 Column 11
    A. Primitive cubic unit cell       B. Body centred  cubic unit cell C. Face centred cubic unit cell     D. End centred orthorhombic unit cell 1. Each of the three perpendicular edges compulsorily have the different edge length i.e., 2. Number of atoms per unit cell is one 3. Each of the three perpendicular edges compulsorily have the same edge length i.e., a = b = c 4.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

    Answer:

                          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 corner =1/ 8 x 8 =1 contribution due to atoms at body centre = 8 C. For face centred unit cell, a = b = c                                                Total constituent ions per unit cell present at corners =  x 8 = 1                          Total constituent ions per unit cell present at face centre =  x 6 = 3 D. For end centered orthorhombic unit cell, Total contribution of atoms present at corner =  x 8 = 1 Total contribution of atoms present at end centre =  x 2 = 1   Hence, other than corner it contain total one atom per unit cell.                        


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