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Ground state free ion term symbol for d3 electron config is 4f, determine number of microstates with this term symbol
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The ground state free ion term symbol for a d³ electron configuration is indeed ⁴F. Here's how to determine the number of microstates associated with this term symbol:
1. Term Symbol Components: The term symbol ⁴F tells us:
Multiplicity (2S+1): ⁴ indicates a spin multiplicity of 4, meaning S = 3/2 (since 2S+1 = 4). This means there are 3 unpaired electrons.
Orbital Angular Momentum (L): F corresponds to L = 3. This is the total orbital angular momentum of the three d electrons.
2. Microstates: The number of microstates associated with a given term symbol is calculated using the following formula:
(2L+1)
(2S+1)
3. Calculation: For ⁴F:
(2
3 + 1)
(2
3/2 + 1) = 7
4 = 28
Therefore, there are 28 microstates associated with the ⁴F term symbol for a d³ electron configuration.
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