Engineering
Chemistry
Voids or Interstitial Site and Radius Ratio
Question

KF has a NaCl structure. What is the distance (in pm) between K+ and F in KF if the density is 2.48 g cm–3 ?

220

135

540

269

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Solution
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As we know,
for such structure
2r+ +2r  = a
Also, as we know,
density = nM / VN0
here, n= 4
2.48 = 4 * 58 / (a)3 (N0)
distance between K+ in KF = a/2 = 269 pm

For NaCl : Distance between two nearest ions (r+ + r ) :

2r+ + 2r  = a

i.e.     r++r-=a2

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