Write the formula to calculate spin only magnetic moment. (2024)

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Write the formula to calculate spin only magnetic moment.? ›

μ=√n(n+2) where n= Number of unpaired electrons. Was this answer helpful?

∴Spin only magnetic moment (μ)=√n(n+2) B.M. =√3(3+2)=√15 B.M. =3.87B.M.

Magnetic Moment unit

So, these two units are equivalent to each other and can be represented as 1 Ampere-meter square (A-m²) = 1 Joule per Tesla (J/T) or 1 J T^-1. The dimensional formula for a magnetic moment is given by M⁰L²T⁰A^-1.

The 'spin only' magnetic moment of Ni2+ in aqueous solution would be √n(n+2)=√2(2+2)=√8 BM.

The magnetic moment is =√n(n+2)Where, n= number of unpaired electrons=√4×(4+2)=√24=4.9 B.M.

In fact, all elementary particles have an intrinsic angular momentum, and the measure of this intrinsic angular momentum is called the spin quantum number. The spin quantum number is represented as , and for electrons, the electron spin is m s = + − 1 / 2 .

The formula for the calculation of spin only magnetic moment

μ s = n ( n + 2 ) Here, is the number of unpaired electrons. The unit for a spin-only magnetic moment is the Bohr magneton (BM).

The magnetic moment is the product of current and area. M a g n e t i c m o m e n t , M = c u r r e n t × A r e a = [ A m p e r e ] × [ m 2 ] The SI unit of magnetic moment is A m 2 .

Calculate the spin only magnetic moment of fe2+(aq)ion

Magnetic moment is given by, μ=√n(n+2) = n ( n + 2 ) B.M. = √24 B.M. =4.9B.M.

In quantum mechanics, angular momentum and spin angular momentum take discrete values proportional to the Planck constant. In practice, spin is usually given as a dimensionless spin quantum number by dividing the spin angular momentum by the reduced Planck constant ħ.

What is the magnetic moment of a spinning charge? ›

Magnetic moments are generated by spinning point charges or charges flowing in cirular paths. Now consider charges flowing in a ring of radius r and the ring rotatating about a distant point in an orbit of radius R from the center of the ring , where R>r.

The electron spin magnetic moment is important in the spin-orbit interaction which splits atomic energy levels and gives rise to fine structure in the spectra of atoms.

What is the formula to calculate the spin quantum number? The spin quantum number is given by the formula: S = n 2 .

The phenomenon of intrinsic magnetic moments is directly related to another fundamental property of these particles called spin, and one speaks of a "nuclear spin" or an "electron spin". This is intrinsic angular momentum possessed by all electrons, protons and neutrons.

Hence, the spin only magnetic moment of the Fe atom is 4.89 Bohr's Magneton. Additional Information: Pauli's Exclusion Principle – No two electrons in an atom can have the same value for all four quantum numbers. In other words, No more than two electrons can occupy the same orbital.

The spin only magnetic moment value of B2+ species is x × 10 2 B.M..

(2) μ=√n(n+2)=√5(5+2)=√35=5.92 B.M.