The electronic configurations that have orbital angular momentum contribution in octahedral environment are:

a)
d¹ and high spin d⁴

b)
d¹ and d²

c)
d² and high spin d⁵

d)
high spin d⁴ and high spin d⁶

Correct answer is option 'B'. Can you explain this answer?

Question

The electronic configurations that have orbital angular momentum contribution in octahedral environment are:

a)
d¹ and high spin d⁴
b)
d¹ and d²
c)
d² and high spin d⁵
d)
high spin d⁴ and high spin d⁶

Correct answer is option 'B'. Can you explain this answer?

Answer

Option - B.
Reason - t2g must be unsymmtetrically filled, which is possible only in case of option B.
In rest cases, with high spin configurations like d4,d6,d5.
The electrons is placed in 2 eg orbitals.

Answer

Comditioj for orbital contribution...symmetry should be matched..energy should be  comprable..and the most required thing is ...orbital shape should be interconvertible...as in eg orbital dx2-y2 and dz2 are not interconvertible so they dont make any contribution now for orbital contribution see unsymmetrical filling of t2g orbital only...as take case of td geometry d1 d2 d5 d6 d7  d10  will not make any contribution

Answer

Electronic Configurations with Orbital Angular Momentum in Octahedral Environment

Octahedral environment refers to a crystal field environment where six ligands surround a central metal atom or ion. In such an environment, the electronic configuration of the metal ion can give rise to orbital angular momentum contribution. The electronic configurations that have this property are:

Option B: d1 and d2

- In an octahedral environment, a d1 metal ion has only one electron occupying the d orbitals, which gives rise to orbital angular momentum.
- Similarly, a d2 metal ion has two electrons occupying the d orbitals, which also gives rise to orbital angular momentum.

Option A: d1 and high spin d4

- A high spin d4 metal ion has four electrons occupying the d orbitals in an octahedral environment. However, the electron configuration of a high spin d4 ion is t2g3eg1, which means that the electrons are paired up in the lower energy t2g orbitals, and only one electron occupies the higher energy eg orbital. This lone electron gives rise to orbital angular momentum.
- Therefore, both d1 and high spin d4 ions have orbital angular momentum in an octahedral environment.

Option C: d2 and high spin d5

- A high spin d5 metal ion has five electrons occupying the d orbitals in an octahedral environment. However, the electron configuration of a high spin d5 ion is t2g3eg2, which means that all the d electrons are paired up in the lower energy t2g orbitals. This configuration does not give rise to any orbital angular momentum.
- Therefore, only d2 ions have orbital angular momentum in an octahedral environment.

Option D: high spin d4 and high spin d6

- A high spin d6 metal ion has six electrons occupying the d orbitals in an octahedral environment. However, the electron configuration of a high spin d6 ion is t2g4eg2, which means that all the d electrons are paired up in the lower energy t2g orbitals. This configuration does not give rise to any orbital angular momentum.
- Therefore, only high spin d4 ions have orbital angular momentum in an octahedral environment.

Conclusion

In summary, the electronic configurations that have orbital angular momentum contribution in an octahedral environment are d1 and d2 ions. It is important to note that this property is specific to the octahedral crystal field environment and may not hold true for other crystal field environments.

Answer

For orbital contribution in octahedral compound t2g orbital should be unsymmetrically fiilled

Answer

D

Answer

Electronic Configurations with Orbital Angular Momentum Contribution in Octahedral Environment

In an octahedral environment, the d-orbitals split into two sets of different energies due to the crystal field effect. The lower energy set, called the t²g set, consists of three orbitals (dxy, dyz, and dxz), while the higher energy set, called the eg set, consists of two orbitals (dx²-y² and dz²).

The electronic configurations that have orbital angular momentum contribution in an octahedral environment are d¹ and d². Let's understand why:

A. d¹ and high spin d⁴:
- In an octahedral environment, a d¹ configuration means that only one electron occupies the t²g set.
- The electron occupies one of the three t²g orbitals (dxy, dyz, or dxz).
- Since there is only one electron, there is no orbital angular momentum contribution.

B. d¹ and d²:
- In an octahedral environment, a d² configuration means that two electrons occupy the t²g set.
- The two electrons can occupy any two of the three t²g orbitals (dxy, dyz, or dxz).
- The presence of two electrons in the t²g set introduces orbital angular momentum contribution.
- The two electrons have opposite spins, resulting in a net orbital angular momentum.

C. d² and high spin d⁵:
- In an octahedral environment, a d² configuration means that two electrons occupy the t²g set.
- The two electrons can occupy any two of the three t²g orbitals (dxy, dyz, or dxz).
- The presence of two electrons in the t²g set introduces orbital angular momentum contribution.
- The two electrons have opposite spins, resulting in a net orbital angular momentum.
- A d⁵ configuration means that five electrons occupy the t²g and eg sets.
- The five electrons can occupy any combination of the t²g and eg orbitals.
- However, the presence of five electrons in the d orbitals does not introduce additional orbital angular momentum contribution.

D. high spin d⁴ and high spin d⁶:
- A high spin d⁴configuration means that four electrons occupy the t²g and eg sets.
- The four electrons can occupy any combination of the t²g and eg orbitals.
- However, the presence of four electrons in the d orbitals does not introduce additional orbital angular momentum contribution.
- Similarly, a high spin d⁶configuration means that six electrons occupy the t²g and eg sets, but it also does not introduce additional orbital angular momentum contribution.

Therefore, the only electronic configurations that have orbital angular momentum contribution in an octahedral environment are d¹ and d², making option B the correct answer.

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