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The sum of spins of all the electron is ...

The sum of spins of all the electron is the total spins(S) and `(2S+1)` is called spin multiplicity of the electronic configuration. Hund's rule defines the ground state configuration of electrons in degenerate orbitals i.e., orbitals within the same sub-shell which have the same values of n and l, states thta in degenerate orbitals pairing of electrons does not occur unless and until all such orbitals are filled singly with their parallel spin. A spinning electron behaves as though it were a tiny bar magnet with poles lying on the axis of spin. The magnetic moment of any atom, ion or molecule due to spin called spin-only magnetic moment `(m_(s))` is given by the formula.
`mu_(s) = sqrt(n(n+2))B.M`
where `n=` number of unpaired electron(s)
The spin-only magnetic moment of `Cr^(3+)`?

A

`sqrt(3)B.M`

B

`sqrt(8)B.M`

C

`sqrt(15)B.M`

D

Zero

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The correct Answer is:
C

`mu_(s) = sqrt(n(n+2))`
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The sum of spins of all the electron is the total spins(S) and (2S+1) is called spin multiplicity of the electronic configuration. Hund's rule defines the ground state configuration of electrons in degenerate orbitals i.e., orbitals within the same sub-shell which have the same values of n and l, states thta in degenerate orbitals pairing of electrons does not occur unless and until all such orbitals are filled singly with their parallel spin. A spinning electron behaves as though it were a tiny bar magnet with poles lying on the axis of spin. The magnetic moment of any atom, ion or molecule due to spin called spin-only magnetic moment (m_(s)) is given by the formula. mu_(s) = sqrt(n(n+2))B.M where n= number of unpaired electron(s) The spin-multiplicity of Fe^(3+) [Ec =[Ar] 3d^(5)) in its ground state

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