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What are the formula to calculate distance between nearest neighbor in different types of solids and what is the relationship between distance of nearest neighbor and radius of cation and anion ?
Asked by inbasri224 | 23 Feb, 2019, 23:53: PM
answered-by-expert Expert Answer
 
 
 
We will be trying to find out the distance between the atoms (edge length, a) and the radius of cation and anion for different crystal structures.
 
Basically 7 crystal structures are know but we will be referring to the 3 main structures as shown above-
 
a) Simple Cubic Crystal structure -
 
in this structure each atom is surrounded by 6 other atoms and thus is the coordination number. 
 
Here distance = Edge Length = a.
 
r space equals space a over 2 
 
b) Body Centered Cubic Cell -
 
Fig b represents a BCC Crystal system for this the relation between "r" and "a" is 
 
r space equals space fraction numerator square root of 3 over denominator 4 end fraction a
 
 
c) Face centered Cubic cell -
 
Fig c represents a FCC crystal lattice for this the relation is given as
 
r space equals space fraction numerator a over denominator 2 square root of 2 end fraction
 

Answered by Sumit Chakrapani | 24 Feb, 2019, 14:56: PM

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