Write about the magnetic quantum number $(m_{l})$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The magnetic orbital quantum number,denoted as $m_{l}$,provides information about the spatial orientation of an orbital with respect to a standard set of coordinate axes.
Value of $m_{l}$: For any subshell defined by the azimuthal quantum number '$l$',there are $2l+1$ possible values of $m_{l}$,ranging from $-l$ to $+l$ including zero:
$m_{l} = -l, -(l-1), \ldots, 0, \ldots, +(l-1), +l$
Relation between $l$ and the number of orbitals:
$1$. For $l = 0$ ($s$-orbital): $m_{l} = 0$. Total values = $2(0)+1 = 1$. This indicates a single $s$-orbital.
$2$. For $l = 1$ ($p$-orbital): $m_{l} = -1, 0, +1$. Total values = $2(1)+1 = 3$. These correspond to $p_{x}, p_{y},$ and $p_{z}$ orbitals.
$3$. For $l = 2$ ($d$-orbital): $m_{l} = -2, -1, 0, +1, +2$. Total values = $2(2)+1 = 5$. These correspond to five $d$-orbitals.
$4$. For $l = 3$ ($f$-orbital): $m_{l} = -3, -2, -1, 0, +1, +2, +3$. Total values = $2(3)+1 = 7$. These correspond to seven $f$-orbitals.
Each orbital is defined by a set of values for $n, l,$ and $m_{l}$. The following table summarizes the relationship between the subshell and the number of orbitals:
Value for $l$ $0, 1, 2, 3, 4, 5$
Notation for subshell $s, p, d, f, g, h$
Number of orbitals $1, 3, 5, 7, 9, 11$

Explore More

Similar Questions

Which of the following set of quantum numbers represents the highest energy of an atom?

Identify the correct statements:
a) In an atom,the maximum number of electrons with $n=4$ and $m_s=+\frac{1}{2}$ is $16$.
b) There are $4$ subshells associated with $n=5$.
c) $n=2, l=1, m_l=0$ and $m_s=-\frac{1}{2}$ is a possible set of quantum numbers.
d) The number of radial nodes for $3s$ orbital is $2$.

The explanation for the presence of three unpaired electrons in the nitrogen atom can be given by

The magnetic quantum number for an electron when the value of principal quantum number is $2$ can have ............ values.

What is the maximum number of orbitals that can be identified with the following quantum numbers?
$n = 3, l = 1, m_l = 0$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo