Explain about – (1) Magnetic quantum number (2) Spin quantum number

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(1) Magnetic quantum number

(2) Spin quantum number

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(1) Magnetic quantum number:

• It is denoted by the letter m1 It takes integral values ranging from –I to +I through 0. i.e. if l = 1; m = -1, 0 and +1.
• The Zeeman Effect (the splitting of spectral lines in a magnetic field) provides the experimental justification for this quantum number.
• The magnitude of the angular momentum is determined by the quantum number l while its direction is given by magnetic quantum number

(2) Spin quantum number:

• The spin quantum number represents the spin of the electron and is denoted by the letter ‘ms ‘.
• The electron in an atom revolves not only around the nucleus but also spins. It is usual to write this as electron spins about its own axis either in a clockwise direction or in anti – clockwise direction.
• Corresponding to the clockwise and anti – clockwise spinning of the electron, maximum two values are possible for this quantum number.
• The values of ‘ms ‘ is equal to $-\frac{1}{2}$ and $+\frac{1}{2}$.