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Quantum Mechanical Model of the Atom - Stability of Completely Filled and Half Filled Subshells

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Estimated time: 3 minutes
CBSE: Class 12

Key Points: Stability of Completely Filled and Half-Filled Subshells

Completely filled (d¹⁰, f¹⁴) and half-filled (d⁵, f⁷) subshells are extra stable.
Electrons may rearrange to achieve this stability, leading to exceptions to Aufbau principle
e.g.,

  • Cr: 3d⁵ 4s¹
  • Cu: 3d¹⁰ 4s¹

Reasons for Extra Stability:

1. Symmetry: Half-filled and fully filled orbitals have symmetrical distribution → leads to greater stability

2. Exchange Energy: More parallel spins → more exchange interactions → higher exchange energy → more stability

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