Part of JPC-07 — Atomic Structure: Quantum Numbers & Electronic Config

Electronic Configuration Rules

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Three rules govern electron filling: (1) Aufbau: fill lowest energy first. Order by (n+l) rule — lower (n+l) fills first; if tied, lower n first. Sequence: 1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d < 5p < 6s < 4f < 5d. (2) Pauli: max 2 electrons per orbital with opposite spins. (3) Hund: in degenerate orbitals, fill singly with parallel spins before pairing. Maximises exchange energy = nn12\frac{n-1}{2} exchange pairs for n parallel-spin electrons. Extra stability: half-filled (d5d^5, p3p^3) and fully-filled (d10d^{10}, p6p^6) subshells. Key exceptions: Cr = [Ar]3d5d^5 4s1s^1, Cu = [Ar]3d10d^{10} 4s1s^1, Mo = [Kr]4d5d^5 5s1s^1, Ag = [Kr]4d10d^{10} 5s1s^1, Pd = [Kr]4d10d^{10}. Cation formation: 4s electrons removed BEFORE 3d (opposite of filling order). Fe2+Fe^{2+} = [Ar]3d6d^6, not [Ar]3d4d^4 4s2s^2. This happens because in cations, 3d is lower in energy than 4s due to changed shielding. Magnetic properties: unpaired electrons = paramagnetic. mu = sqrt(n(n+2)) BM.

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