solid state vacancies

someone please help me with this Q:
The maximum radius of an atom which can occupy empty spaces (voids) in a body centred structure, of an element having atomic radius R, without causing any distortion, can be :

Ans, (√53-1)R

3 Answers

1
zzzzzzzzzzzz ·

As we know radius ratio for cubic void

i.e., r+/r-=0.732 (without distortion)- 0.999(with distortion)

if R is r-, then maximum radius of r+(which is the radius of cation occupying void) is 0.732 times of R

for metallic solids:

2R + (empty space) = √3a

empty space = √3a - 2R

1
cipher1729 ·

umm, the answer doesnt seem to match yaar

1
zzzzzzzzzzzz ·

hey, is it 0.155 times of R

initially i have calculated for cubic void.....

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