Why Are Cr and Cu Exceptions? Half-Filled and Fully-Filled Stability

Chemistry · Structure Of Atom · NEET

Chromium (Cr) and Copper (Cu) do not follow the normal filling order. One electron jumps from the 4s orbital into the 3d orbital, because a half-filled (3d5) or fully-filled (3d10) subshell is extra stable. So Cr is [Ar]3d5 4s1 (not 3d4 4s2) and Cu is [Ar]3d10 4s1 (not 3d9 4s2). Memory hook: "5 and 10 are happy numbers" — a d-subshell loves to be exactly half-full (5) or completely full (10).
Cr and Cu: one 4s electron shifts into 3dChromium (Z=24)Expected: [Ar]3d⁴ 4s²3d⁵ (half-filled)4s¹Real: [Ar]3d⁵ 4s¹↑ ↑ ↑ ↑ ↑Copper (Z=29)Expected: [Ar]3d⁹ 4s²⇅⇅⇅⇅⇅3d¹⁰ (fully-filled)4s¹Real: [Ar]3d¹⁰ 4s¹Half-filled (d⁵) and fully-filled (d¹⁰) are extra stable:more symmetry + more exchange energy = lower energy
In Cr and Cu one electron moves from 4s to 3d so the d subshell becomes exactly half-filled (d5) or fully-filled (d10). These arrangements have lower energy because of greater symmetry and greater exchange energy.

Your doubts, answered

Why is chromium [Ar]3d5 4s1 and not [Ar]3d4 4s2?

The 4s and 3d subshells are very close in energy in chromium. If we filled normally we would get 3d4 4s2. But if one electron moves from 4s to 3d, we get 3d5 4s1 — now BOTH the 3d subshell (half-filled, 5 electrons) and the 4s subshell (half-filled, 1 electron) are half-filled. Half-filled subshells are extra stable, so this arrangement has lower energy. Nature always chooses the lowest-energy (most stable) ground state, so Cr = [Ar]3d5 4s1.

Why does copper have [Ar]3d10 4s1 and not [Ar]3d9 4s2?

Same idea as chromium. Normal filling gives 3d9 4s2. But shifting one 4s electron into 3d gives 3d10 4s1 — a completely filled 3d subshell (10 electrons) plus a half-filled 4s. A fully-filled subshell is very stable, so this lower-energy arrangement is the real ground state. So Cu = [Ar]3d10 4s1.

Why are half-filled and fully-filled subshells extra stable?

NCERT gives two reasons. (1) Symmetry: when a subshell is exactly half-filled or fully-filled, the electrons are spread out evenly (symmetrically). Symmetry means the electrons shield each other less, so the nucleus pulls them more strongly — this lowers energy. (2) Exchange energy: electrons with the SAME spin in different orbitals of the same subshell can 'exchange' places. More possible exchanges means more stability. Half-filled and fully-filled subshells allow the maximum number of exchanges.

What is exchange energy in simple words?

Inside one subshell, electrons that have the same spin (same arrow direction) and sit in different orbitals can swap positions with each other. Each possible swap releases a little energy and makes the atom more stable — this released energy is the exchange energy. A half-filled subshell (like 3d5, all 5 electrons same spin) gives the largest number of possible swaps, so it is very stable. You do NOT need to calculate it for NEET; just know 'more parallel same-spin electrons = more exchange energy = more stable'.

Do only Cr and Cu break the rule, or are there other exceptions?

Cr and Cu are the two you must remember for NEET from the 3d series. The same half-filled stability also explains other exam favourites: nitrogen (2p3), phosphorus (3p3), and the extra ionisation-enthalpy stability of half-filled shells. In the f-block, europium (Eu = [Xe]4f7 6s2) and gadolinium (Gd = [Xe]4f7 5d1 6s2) keep a half-filled 4f7. So the SAME principle appears in many chapters.

Is 4s or 3d filled first, and why does the electron then move?

Filling order (Aufbau) fills 4s before 3d because 4s is slightly lower in energy when empty. But once electrons are present, 4s and 3d energies become almost equal in Cr and Cu. So an electron shifts from 4s to 3d only when that shift creates a half-filled or fully-filled d subshell. This shift happens only for Cr and Cu in the 3d series — do not apply it to every element.

⚠️ The NEET trap
Writing chromium as [Ar]3d4 4s2 and copper as [Ar]3d9 4s2 by blindly following the Aufbau order.
Cr = [Ar]3d5 4s1 and Cu = [Ar]3d10 4s1. One 4s electron shifts into 3d to make the d subshell half-filled (Cr) or fully-filled (Cu).
🧠 Whenever a config would end in d4 or d9, STOP — steal one electron from 4s to make it d5 or d10.

Real NEET questions

NEET 2017 · 2018

Which one is the wrong statement?

A · de Broglie's wavelength is given by λ = h/mv, where m = mass of the particle and v = group velocity of the particle
B · The uncertainty principle is ΔE·Δt ≥ h/4π
C · Half-filled and fully filled orbitals have greater stability due to greater exchange energy, greater symmetry and more balanced arrangement
D · The energy of the 2s orbital is less than the energy of the 2p orbital in case of hydrogen-like atoms
Solution: Option C is a CORRECT statement and directly states this concept: half-filled and fully-filled subshells are more stable because of greater exchange energy, greater symmetry and a more balanced arrangement. The wrong statement is D — in hydrogen-like (single-electron) atoms, orbital energy depends only on n, so 2s and 2p are equal in energy (degenerate), not 2s lower than 2p.
NEET 2016 Phase 1

The electronic configurations of Eu (Z=63), Gd (Z=64) and Tb (Z=65), respectively, are:

A · [Xe]4f7 6s2, [Xe]4f8 6s2 and [Xe]4f8 5d1 6s2
B · [Xe]4f6 5d1 6s2, [Xe]4f7 5d1 6s2 and [Xe]4f9 6s2
C · [Xe]4f6 5d1 6s2, [Xe]4f7 5d1 6s2 and [Xe]4f8 5d1 6s2
D · [Xe]4f7 6s2, [Xe]4f7 5d1 6s2 and [Xe]4f9 6s2
Solution: Europium keeps a stable half-filled 4f7: Eu = [Xe]4f7 6s2. For gadolinium the half-filled 4f7 is so stable that the extra electron enters 5d instead of pairing in 4f: Gd = [Xe]4f7 5d1 6s2. Terbium then has Tb = [Xe]4f9 6s2. This is the same half-filled stability rule that makes Cr an exception, applied to the f-block. Answer D.
NEET 2025

Which among the following electronic configurations belong to main-group elements? A. [Ne]3s1 B. [Ar]3d3 4s2 C. [Kr]4d10 5s2 5p5 D. [Ar]3d10 4s1 E. [Rn]5f0 6d2 7s2

A · D and E only
B · A, C and D only
C · B and E only
D · A and C only
Solution: Note config D, [Ar]3d10 4s1, is copper — a d-block exception where 3d is fully-filled (d10) and 4s holds only one electron, exactly the fully-filled stability case. As per the official key the main-group answer is (C) B and E only, so option D (Cu) is a transition/d-block element, not main-group.

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Frequently asked

What is the electronic configuration of Cr and Cu?

Chromium (Z=24) = [Ar]3d5 4s1 and Copper (Z=29) = [Ar]3d10 4s1. Both differ from the plain Aufbau prediction because one 4s electron moves into 3d to make a half-filled or fully-filled d subshell.

Are half-filled and fully-filled subshells more stable? Why?

Yes. NCERT gives two reasons: (1) symmetrical (even) distribution of electrons, which lowers shielding and increases nuclear attraction, and (2) larger exchange energy from more same-spin electrons that can swap places. Both make the atom's energy lower and so more stable.

Does nitrogen show this stability too?

Yes. Nitrogen is 2p3, a half-filled p subshell, which is why nitrogen has a higher first ionisation enthalpy than oxygen (2p4). The same half-filled stability idea appears across many NEET chapters.

Do I need to calculate exchange energy for NEET?

No. You only need the concept: more parallel (same-spin) electrons in a subshell means more exchange energy and more stability. Half-filled (d5, f7, p3) and fully-filled (d10, f14, p6) subshells give the most stability.

How does this connect to magnetic moment?

Half-filled subshells like 3d5 have the maximum number of unpaired electrons, which gives the highest spin-only magnetic moment. The next topic, spin-only magnetic moment, uses the number of unpaired electrons you get from these configurations.