Estimate the radii of C and Si atom using Slater rules r(C) approximatelyequalto

Question

Estimate the radii of C and Si atom using Slater rules r(C) approximatelyequalto 2.2 times r (H), r(Si) = 1.2 times r(H) r(C) approximatelyequalto 2.5 times r (H), r(Si) = 4.2 times r(H) r(C) approximatelyequalto 6.0 times r(H), r(Si) = 14.0 times r(H) r(C) approximatelyequalto 1.2 times r(H), r(Si) = 2.2 r(H) r(C) approximatelyequalto 3.25 times r(H), r(Si) = 4.15 times r(H) Place the following in order of decreasing magnitude of latt ergy: K_2O, Rb_2S, Li_2O Li_2O > K_2O > Rb_2S Li_2O > Rb_2S > K_2O

Explanation / Answer

For Carbon we have the electronic configuration,C=1s22s22p2

   =(1s)2(inner shell)((2s2p)4(n-1)th shell

Now S =(2x0.85)+(3x0.35) =1.70+1.05=2.75

Again,Z*=Z-S

=6-2.75=3.25 =3.25 x r(H), we know r(H)=1

For Silicon we have the electronic configuration, S=[Ne]3s23p2=1s22s22p63s23p2

  =(1s)2(inner shell) (2s2p)8(n-1)th shell(3s3p)4(nth shell)

Similarly, for Si we get S=9.85

Z*=Z-S=14-9.85=4.15 =4.15 x r(H),where r(H)=1

Therefore the correct answer will be option (e)

     

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