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Q4P

Expert-verifiedFound in: Page 1247

Book edition
10th Edition

Author(s)
David Halliday

Pages
1328 pages

ISBN
9781118230718

**How many electron states are there in the following shells: (a) n = 4 , (b) n = 1 , (c) n = 3 , (d) n = 2 ?**

- There are 32 electron states in shell of n =4.
- There are 2 electron states in shell of n = 1 .
- There are 18 electron states in shell of n = 3 .
- There are 8 electron states in shell of n = 2 .

The given quantum numbers are:

- n = 4
- n = 1
- n = 3
- n = 2

**The electronic state is defined by the configuration of the electron system, as well as the quantum numbers of each electron that contributes to that configuration.**

** **

**Using the concept of electron states for each given quantum number, define the required number of electron states by substituting the given value in the below formula.**

The number of electron states presents in the shell for each given value of n ,

$N=2{n}^{2}$ ….. (1)

Using the given value of quantum number n = 4 in equation (1), the number of electron states can be given as follows:

$\begin{array}{l}N=2(4{)}^{2}\\ =32\end{array}$

Hence, there are 32 electron states in the shell.

Using the given value n = 1 in equation (1), the number of electron states can be given as follows:

$N=2{\left(1\right)}^{2}\phantom{\rule{0ex}{0ex}}=2$

Hence, there are 2 electron states in the shell.

Using the given value n = 3 in equation (1), the number of electron states can be given as follows:

$N=2{\left(3\right)}^{2}\phantom{\rule{0ex}{0ex}}=18$

Hence, there are 18 electron states in the shell.

Using the given value n = 2 in equation (1), the number of electron states can be given as follows:

$N=2{\left(2\right)}^{2}\phantom{\rule{0ex}{0ex}}=8$

Hence, there are 8 electron states in the shell.

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