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


9 years ago

## Answers : (3)

419 Points
							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  px, py, and pz.   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
01
2s2p
0-1 0 +1
13

3
012
3s3p3d
0-1 0 +1-2 -1 0 +1 +2
135

4
0123
4s4p4d4f
0-1 0 +1-2 -1 0 +1 +2-3 -2 -1 0 +1 +2+3
1357

All the best.
AKASH GOYAL

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9 years ago
SAGAR SINGH - IIT DELHI
879 Points
							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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Sagar Singh
B.Tech, IIT Delhi


9 years ago
Aakash Dutta
29 Points
							this is very simple

9 years ago
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