Question

The number of microstates for d5 configuration is ___

Answer 1

Answer:

Let us take a closer look at optical absorption spectra, also called electronic spectra of coordination components

Answer 2

Concept:

The total number of possible arrangements of a given number of electrons are the microstates of that electronic configuration.

Given:

d⁵ configuration.

Find:

The number of microstates for d⁵ configuration is?

Solution:

The number of microstates can be calculated as follows below.

                  The number of microstates = N! / [X! (N-X)!]

where N is the number of orbitals in the sub-shell.

X is the number of electrons in the given configuration.

N and X are the factorials of N and X respectively.

In the d⁵ configuration,

• Twice the number of orbitals in the sub-shell (N) = 5 x 2 = 10
• The number of electrons in the given configuration (X) = 5

By changing the values in the previous expression, we obtain,

                          The number of microstates = 10! / [5! (10-5)!]

                                                                         = 10! / [5! (5)!]

                                                                         = (10x9x8x7x6x5!)/ (5! x 5!)

                                                                         = (10x9x8x7x6) / (5x4x3x2x1)

                                                                         = 252

Hence, the number of microstates for d⁵ configuration is 252.

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