In which pair most efficient packing is present?

(a) hcp and bcc (b) hcp and ccp

(c) bcc and ccp (d) bcc and simple cubic cell

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Solution

Answer: (b) hcp and ccp

Packing efficiency is the percentage of total filled space by particles and it can be calculated as packing efficiency.

$T h e p a c k i n g e f f i c i e n y = \frac{V o l u m e o c c u p i e d b y f o u r s p h e r e s i n t h e u n i t c e l l}{T o t a l v o l u m e o f u n i t c e l l} \times 100$
The packing efficiency of the lattices are given below:
hcp = 74%
ccp = 74%
bcc = 68%
Simple cubic = 52.4%.

Since packing efficiency for hcp or ccp is calculated to be 74% which is the maximum among all types of crystals.

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The correct order of the packing efficiency in different types of nuit cells is ............

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