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Although Cr^(3+) and Co^(2+) ions have s...

Although `Cr^(3+)` and `Co^(2+)` ions have same number of unpaired electrons but the magnetic moment of `Cr^(3+)` is 3.87 B.M. and that of `Co^(2+)` is 4.87 B.M. Why ?

Text Solution

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`Cr^(3+) = [Ar]3d^(3) ` and `Co^(2+) = [Ar] 3d^(7)` . Though both have same number of unpaired electrons but total number of electrons present in them are different . Total moment depends upon total spin quantum number (S) as well as the resultant orbital angular momentum of all the electrons (L) , .e.g. , `mu = sqrt( 4S ( S+1 ) + L ( L + 1))` . Orbital contribution is negligible in case of `Cr^(3+)` but not in case of `Co^(2+)`.
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Although Cr^(3+) and Co^(2+) ions have the same number of unpaired electrons but the magnetic moment of Cr^(3+) is 3.87 BM and that of Co^(2+) is 4.87 BM. Why?

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Knowledge Check

  • Although Cr^(3+) and Co^(2+) ions have same number of unpaired electrons but the magnetic moment of Cr^(3+) is 3.87 B.M . and that of Co^(2+) 4.87 B.M. because….

    A
    They have different no. of d electrons
    B
    They have same electronic but different orbital contribution
    C
    They have different electronic but same orbital contriguration
    D
    they are typical elements.
  • The number of unpaired electrons in Cr^(3+) ion is

    A
    3
    B
    5
    C
    4
    D
    1
  • Cr in [Cr(NH_3)_6] Br_3 has number of unpaired electron :

    A
    4
    B
    3
    C
    1
    D
    2
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