Question

The number of microstate for d3 configuration is____
a)60 b)120 c)240 d)45​

Answer 1

Answer:

Explanation:

240

Answer 2

Given:

$d^3$.

To find:

The number of microstates.

Solution:

The number of a microstate is given as-

n!/r!(n-r)!

Where n is the maximum number of electrons a d orbital have. Thus n is equal to 10.

r is the number of electrons present in the given orbital. Here r is 3.

Hence we can write-

$\frac{10!}{3! \times (10 - 3)!} \\ = \frac{10!}{3! \times 7!} \\ = \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1} \\ = 120$

The number of microstates for $d^3$ species is 120.

The number of microstates for the d3 configuration is 120.

Hence the correct option is b.