Question #2205b

1 Answer
P dilip_k
Feb 2, 2017

elektroarsenal.net

The unit cell of face centered cubic lattice (FCC) has been shown in above figure. It is obvious from the figure that #4R# is the length of the diagonal of every square face of the cell having length of each side #a#,the edge length of unit cube.
So using Pythagorean theorem we can write

#a^2+a^2=(4R)^2#

#=>16R^2=2a^2#
#=>R=a/(2sqrt2)#

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