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Thursday, 21 August 2025

Aufbau, Pauli's , Hund's Rule

Aufbau, Hund's Rule & Pauli Exclusion Principle

Aufbau Principle, Hund’s Rule & Pauli Exclusion Principle

Visualizing electron filling with spin arrows

Interactive Orbital Filling

Click Add Electron to see electrons fill orbitals with spins (↑ or ↓), following the Aufbau Principle, Hund’s Rule, and Pauli Exclusion Principle.

1s
2s
2p
3s
3p

1. Aufbau Principle

The Aufbau Principle says electrons occupy the lowest energy orbital first. Example: Oxygen (Z = 8) has configuration 1s² 2s² 2p⁴.

2. Hund’s Rule

Hund’s Rule: Electrons occupy orbitals singly with parallel spins before pairing. This minimizes repulsion and gives stability.

3. Pauli Exclusion Principle

Pauli Principle: No two electrons in the same atom have identical quantum numbers. Each orbital holds max 2 electrons with opposite spins (↑↓).

✨ Exceptions in Aufbau Principle: Chromium (Cr) and Copper (Cu)

Normally, electrons fill orbitals according to the Aufbau Principle — i.e., in increasing order of energy levels (1s → 2s → 2p → 3s → 3p → 4s → 3d...). But, Chromium (Z=24) and Copper (Z=29) are important exceptions.

🔹 Chromium (Cr)

Expected Configuration: [Ar] 3d4 4s2

Observed Configuration: [Ar] 3d5 4s1

✔ Reason: Half-filled 3d (d5) orbitals gain extra stability due to maximum exchange energy.

Expected (3d4 4s2)

3d:
4s:

Observed (3d5 4s1)

3d:
4s:

🔹 Copper (Cu)

Expected Configuration: [Ar] 3d9 4s2

Observed Configuration: [Ar] 3d10 4s1

✔ Reason: Completely filled 3d (d10) orbitals are highly stable due to symmetrical distribution.

Expected (3d9 4s2)

3d:
4s:

Observed (3d10 4s1)

3d:
4s:

✅ Conclusion

Chromium prefers half-filled 3d (d5) and Copper prefers completely filled 3d (d10), because such arrangements give extra stability due to exchange energy and symmetry. Hence, they deviate from the normal Aufbau filling order.

MCQs on Aufbau Principle

1. According to Aufbau principle, the orbital filled first is:
✅ Correct Answer: 1s
2. The order of filling orbitals is decided by:
✅ Correct Answer: (n + l) rule
3. Which of the following configurations is not allowed?
✅ Correct Answer: 1s² 2s² 2p⁶ 3s² 3p⁷ (p-orbital can’t have 7 electrons)
4. Which element shows deviation from Aufbau due to half-filled d-orbitals?
✅ Correct Answer: Chromium

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Aufbau, Pauli's , Hund's Rule

Aufbau, Hund's Rule & Pauli Exclusion Principle Aufbau Principle, Hund’s Rule & Pauli Exclusion Principle Visual...