1.38 If the radius of the octahedral void is r and radius of the atoms in close packing is R, derive relation between r and R.
1.38 If the radius of the octahedral void is r and radius of the atoms in close packing is R, derive relation between r and R.
1.38 We apply pythagoras theorem AC2= AB2+ BC2
(2R)2= (R+r)2 +(R+r)2 = 2(R+r)2
4R2 = 2(R+r)2
(2R)2= (R+r)2
√2(R)2= √(R+r)2 = √2r = R+r
r = √2 R – R
r = (√2-1) R
r = (1.4114-1)R
r= 0.414 R
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