Question 14 If the radius of the octahedral void is r and radius of the atoms in closepacking is R, derive relation between r and R. Chapter 1: the Solid State Chemistry Class 12 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. If the radius of the octahedral void is r and radius of the atoms in closepacking is R, derive relation between r and R. is solved by our expert teachers. You can get ncert solutions and notes for class 12 chapter 1 absolutely free. NCERT Solutions for class 12 Chemistry Chapter 1: the Solid State is very essencial for getting good marks in CBSE Board examinations
Question 14 If the radius of the octahedral void is r and radius of the atoms in closepacking is R, derive relation between r and R.
AnswerLet 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
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