Question

lf the value of n=3 , then find the number of electrons is an orbitals​

Answer 1

Answer:

There will be two Electrons in an orbital

Explanation:

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We know that an orbital can accommodate two electrons of opposite spin.

The no. of electrons accommodated in an orbital is constant i.e. two .

It doesn't depends on the Principle Quantum number (n) , Azimuthal quantum number (l) & Magnetic Quantum number (m).

A typical orbital is shown by a square structure.

The two electrons accommodated are of opposite spins. and are represented as $\large\boxed{\uparrow\;\downarrow}$

The electrons are represented as arrows and they are pointing in opposite direction, this indicates that they are of opposite spins (Clockwise and Anti-clockwise).

For Example

Take an example of Hydrogen.

$\text{Electronic configuration is }\sf{1s^1} \\\\ \longrightarrow\large \qquad\qquad \boxed{\uparrow}\:\:\:\sf{or} \:\:\: \boxed{ \downarrow}$

As the hydrogen has 1 electron, a electron occupies the orbital.The spin can be clockwise (or) anti clockwise as there is one electron. (Both possibilities are there)

$\rule{300}{1.5}$

$\rule{300}{1.5}$

Extra Information:

No. of orbitals in specific sub-shell:

$\large\begin{tabular}{|c|c|c|}\cline{1-3}l & Sub\;Shell & No.\;Orbitals\\\cline{1-3} 0&s&1\\\cline{1-3}1&p&3\\\cline{1-3}2&d&5\\\cline{1-3}3&f&7\\\cline{1-3}4&g&9\\\cline{1-3}\end{tabular}$

Note:

• The 1st column is of Different values of Azimuthal quantum number (l).
• The 2nd column is of different sub shells.
• The 3rd column is of Number of orbitals in an specific sub shell.

Maximum no of electrons in Different shells:

$\large\begin{tabular}{|c|c|c|}\cline{1-3}n & Shell & No.\;Electrons\\\cline{1-3}1&K&2\\\cline{1-3}2&L&8\\\cline{1-3}3&M&18\\\cline{1-3}4&N&32\\\cline{1-3}\end{tabular}$

Note:

• The 1st column is of Different values of Principle quantum number (n).
• The 2nd column is of different Shells.
• The 3rd column is of different No. of electrons in Shells.

Shapes of Different orbitals:

$\large\begin{tabular}{|c|c|c|}\cline{1-3}l & Sub\;Shell & Shape\\\cline{1-3} 0&s&Spherical\\\cline{1-3}1&p&D-bell\\\cline{1-3}2&d&D. D-bell\\\cline{1-3}3&f&complex\\\cline{1-3}\end{tabular}$

Note:

• The 1st column is of Different values of Azimuthal quantum number (l).
• The 2nd column is of different sub shells.
• The 3rd column is of Shapes of specific sub shell.
• D- bell represents Dùmb bell.
• and, D. D - bell denotes Double Dùmb bell.

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Answer 2

There will be two Electrons in an orbital