Question

Write the relation between angular momentum quantum number and magnetic quantum number

Answer 1

Answer:-

Relation between Azimuthal quantum number (l) and Magnetic quantum number [m(l)] :

For a given value of "l" the total value of m(l) = (2l + 1)

=> m(l) = 2l + 1

Additional Information:-

Quantum numbers:- The measurement scale by which the orbitals are distinguished, can be represented by sets of numbers called as Quantum numbers.

There are four types of quantum numbers:-

Principal Quantum number(n):-

• It was proposed by Bohr and is denoted by "n".
• It determines the average distance between electron and nucleus, means it is denoted the size of the atom. It determines the energy of the electron in an orbit where the electron is present.
• The maximum number of an electron in an orbit is represented by this quantum number as 2n².

Azimuthal quantum number (or) Angular quantum number (l) :-

• It was proposed by Sommerfeld and denoted by "l".
• It determines the number of subshells or sublevels to which the electron belongs. It tells about the shape of subshells.
• The energy of any electron depends on the value of n & l because total energy = (n + l) . The electron enters in that sub-orbit whose (n + l) value or energy is less.

Magnetic Quantum number [m(l)] :-

• It was proposed by Linde and denoted by m(l).
• It gives the number of permitted orientation of subshells. The value of m(l) varies from - l to + l through zero.
• It tells about the splitting of spectral lines in the magnetic field i.e., This Quantum number proved the Zeeman Effect.

Spin Quantum number [m(s)] :-

• It was proposed by Goldschmidt and Uhlenbeck and denoted by m(s).
• The value of m(s) is +½ or -½ , which is signified the spin or rotation or direction of electron on its axis during the movement. The spin maybe Clockwise or AntiClockwise.
• Maximum spin of an Atom = ½ * Number of unpaired electrons.

Answer 2

Answer:

If Plthe two waves are of different energies, then there is a net angular momentum, and the electron has a net movement in one direction or the other. That gives rise to a magnetic moment, and the larger the difference in energies, the larger the magnetic moment, and the larger the magnetic moment quantum number.

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Explanation: