octahedral void

Asked by adilkhan | 13th Jul, 2010, 06:36: PM

Expert Answer:

As seen from the figure ABC is a right angled triangle. The centre of void is A.

 

Applying Pythagoras theorem we have

 BC2 = AB2 + AC2

(2R)2 = (R + r)2 + (R + r)2

4R2    = 2(R + r)2

(√2 R)2  =  (r + R)2

√2 R  =  r + R

r  =  √2 R - R 

r  =  R(√2 - 1)

r  = R(1.414 - 1)

r  = .414R

Answered by  | 20th Jul, 2010, 05:33: PM

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