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Zn has HCP structure. The nearest neighbor distance is 0.27nm. The atomic weight of Zn is 65.37. Calculate the volume of unit cell, density and atomic packing fraction of Zn.

Mumbai University > First Year Engineering > Sem 1 > Applied Physics 1

Marks: 7M

Year: May 2016

1 Answer
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Given:

Nearest neighbor distance, $a = 2r=0.27 nm=0.27 \times 10^{-9} m$

Atomic weight of zinc=65.37

The height of the unit cell, h= 0.494 nm

Find:

(i) Volume of unit cell

(ii) Density

(iii) Atomic Packing fraction

Solution:

  1. The volume of the unit cell, V:

    The volume of the HCP unit …

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