If radius of an octahedral void is r and atomic radius of atoms in ccp is R then relation between r and R is
Answers
Answered by
2
Let take r and R are the radii of the octahedral site and atoms respectively,
then use Pythagoras theorem we get
(2R)2 = (R+r)2 +(R+r)2
4R2 = 2(R+r)2
Divide by 2 we get
2R2 = (R+r)2
Take root both side we get
R√2 =R+r
R√2 – R = r
r = R(√2–1)
value of √2= 1.414
r = R(1.414–1)
r = 0.414 R
then use Pythagoras theorem we get
(2R)2 = (R+r)2 +(R+r)2
4R2 = 2(R+r)2
Divide by 2 we get
2R2 = (R+r)2
Take root both side we get
R√2 =R+r
R√2 – R = r
r = R(√2–1)
value of √2= 1.414
r = R(1.414–1)
r = 0.414 R
Similar questions