Physical Chemistry> atomic structure...

how to calculate magnetic quantum number? explain clearly with an example

M.vs vivek vardhan , 15 Years ago

Grade 12

3 Answers

AKASH GOYAL AskiitiansExpert-IITD

Dear Student

The magnetic quantum number has values between -l and +l. When l =1, for example, m can have three values: -1, 0, and +1. Because you know that the subshell designation for l =1 is "p", you now know that the p orbital has three components p_x, p_y, and p_z. Notice how the subscripts are related to a three-dimensional coordinate system, x, y, and z. The chart below shows a summary of the quantum numbers:

Principal Quantum Number (n)	Azimuthal Quantum Number (l)	Subshell Designation	Magnetic Quantum Number (m)	Number of orbitals in subshell
1	0	1s	0	1
2	0 1	2s 2p	0 -1 0 +1	1 3
3	0 1 2	3s 3p 3d	0 -1 0 +1 -2 -1 0 +1 +2	1 3 5
4	0 1 2 3	4s 4p 4d 4f	0 -1 0 +1 -2 -1 0 +1 +2 -3 -2 -1 0 +1 +2+3	1 3 5 7

All the best.

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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Last Activity: 15 Years ago

SAGAR SINGH - IIT DELHI

Dear student,

To describe the magnetic quantum number m you begin with an atomic electron's angular momentum, L, which is related to its quantum number $l\,$ by the following equation:

$\mathbf{L} = \hbar\sqrt{l(l+1)}$

where $\hbar = h/2\pi$ is the reduced planck constant.

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

Last Activity: 15 Years ago