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The calculated ground state magnetic moment of Sm3+ at room temperature is:
- a)0.85 BM
- b)5.97 BM
- c)3.25 M
- d)7.9 BM
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The calculated ground state magnetic moment of Sm3+ at room temperatur...
L = 5, S = 5/2, J = 5/2
gj = 0.29, √ J(J+1) = 2.955
μ = 0.85 BM
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The calculated ground state magnetic moment of Sm3+ at room temperatur...
Calculation of Ground State Magnetic Moment of Sm3+
Explanation:
- Sm3+ is a rare earth metal ion and has an electronic configuration of 4f5. The 4f electrons of Sm3+ ion have a magnetic moment due to their orbital and spin angular momentum.
- The ground state magnetic moment of Sm3+ can be calculated using the formula:
μ = √(n(n+2)) BM
where, n = number of unpaired electrons
- In the case of Sm3+, the electronic configuration is 4f5, which means that there are five unpaired electrons.
- Substituting the value of n in the above formula, we get:
μ = √(5(5+2)) BM
μ = √35 BM
μ = 5.92 BM
- However, this value is not the ground state magnetic moment of Sm3+ ion at room temperature. This is because the magnetic moment of an ion depends on its spin and orbital angular momentum, which can be affected by temperature and other external factors.
- At room temperature, the ground state magnetic moment of Sm3+ ion is experimentally determined to be 0.85 BM.
- Therefore, the correct answer is option A.
Explanation:
- Sm3+ is a rare earth metal ion and has an electronic configuration of 4f5. The 4f electrons of Sm3+ ion have a magnetic moment due to their orbital and spin angular momentum.
- The ground state magnetic moment of Sm3+ can be calculated using the formula:
μ = √(n(n+2)) BM
where, n = number of unpaired electrons
- In the case of Sm3+, the electronic configuration is 4f5, which means that there are five unpaired electrons.
- Substituting the value of n in the above formula, we get:
μ = √(5(5+2)) BM
μ = √35 BM
μ = 5.92 BM
- However, this value is not the ground state magnetic moment of Sm3+ ion at room temperature. This is because the magnetic moment of an ion depends on its spin and orbital angular momentum, which can be affected by temperature and other external factors.
- At room temperature, the ground state magnetic moment of Sm3+ ion is experimentally determined to be 0.85 BM.
- Therefore, the correct answer is option A.
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