The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of an octahedral aqua complex…

The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of an octahedral aqua complex of a metal ion MZ+ are -0.8Δ0 and 3.87 BM, respectively. Identify MZ+:
  1. V3+
  2. Co2+
  3. Cr3+
  4. Mn4+

Solution

CFSE for octahedral complex =-0.4nt2 g+0.6negΔ0+n(P)

 As μ=3.87BM so number unpaired electron =3.

Metal ion configuration CFSE
27Co2+=3 d7 t2 g2,2,1,eg1,1 CFSE=-0.8Δo
25Mn4+=3 d3 t2g1,1,1,eg0,0 CFSE=-1.2Δ0
 V232+=3 d3 t2g1,1,1,eg0,0 CFSE=-1.2 Δ0
Cr243+=3 d3 t2g1,1,1,eg0,0 CFSE=-1.2Δo

 

Asked in: JEE Main 2021 (01 Sep Shift 2)

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