Aufbau: orbitals filled in order of increasing energy (1s<2s<2p<3s<3p<4s<3d<...). Pauli: no two electrons in same atom have identical 4 quantum numbers. Hund: orbitals of same energy first filled singly with parallel spins.
-- NCERT Class 11 Chemistry, Ch. 2, p. 36Electronic Configuration
Lesson
The configuration of Cr is not [Ar] 3d⁴ 4s². It is [Ar] 3d⁵ 4s¹. If you wrote the former in a NEET paper, you lost a mark and gained a negative — that is the trap this lesson exists to fix.
Electronic configuration is the distribution of electrons among available orbitals following three rules: Aufbau principle (fill lowest energy first), Pauli exclusion (no two electrons share all four quantum numbers), and Hund's rule (maximise spin multiplicity within a subshell). For most elements up to Z = 30, straightforward application of (n + l) ordering gives the correct ground-state configuration.
The exceptions that NEET tests repeatedly are chromium (Z = 24) and copper (Z = 29). The expected filling gives Cr: [Ar] 3d⁴ 4s² and Cu: [Ar] 3d⁹ 4s². The actual configurations are:
- Cr: [Ar] 3d⁵ 4s¹ — half-filled 3d achieves extra exchange-energy stability.
- Cu: [Ar] 3d¹⁰ 4s¹ — fully filled 3d achieves extra stability.
The underlying reason: exchange energy increases with the number of parallel-spin electron pairs. A half-filled or fully filled d-subshell maximises these pairs, and the energy gain from exchange exceeds the small 4s–3d gap for these specific elements.
NCERT Class 11 Chemistry Chapter 2, page 36, explicitly states this principle as part of the electronic configuration rules for transition elements.
Watch-out for ions: When forming Cr³⁺ or Cu²⁺, electrons are removed from 4s first (higher principal quantum number), then from 3d. Cr³⁺ is [Ar] 3d³, not [Ar] 3d¹ 4s². Cu²⁺ is [Ar] 3d⁹.
Practice MCQs
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
The ground-state electronic configuration of chromium (Z = 24) is:
The ground-state electronic configuration of Cu (Z = 29) is:
Which of the following explains why Cr and Cu deviate from expected Aufbau filling?
The electronic configuration of Cr³⁺ ion is:
The electronic configuration of Cu²⁺ ion is:
Among Fe (Z = 26), Co (Z = 27), Ni (Z = 28), and Cu (Z = 29), which has a ground-state configuration that deviates from simple Aufbau prediction?
The number of unpaired electrons in Cr (Z = 24) in its ground state is:
Which pair of elements in the first transition series (Z = 21 to Z = 30) shows anomalous electronic configuration due to d-subshell stability?
Worked Example
Pattern: Electronic configuration writing with Cr/Cu anomaly (P.CHE.U02.AUFBAU_ELECTRONIC_CONFIG, observed NEET 2024)
- 1
Given
- Cr: atomic number 24 - Cu⁺: atomic number 29, charge +1 (28 electrons)
- 2
Required
Ground-state electronic configuration and number of unpaired electrons for each species.
- 3
Concept
Electronic configuration follows Aufbau principle with exceptions for Cr and Cu due to extra exchange-energy stability of half-filled (d⁵) and fully filled (d¹⁰) subshells. For ions, electrons are removed from the highest principal quantum number (4s before 3d).
- 4
Formula/Rule
- Aufbau order: 1s < 2s < 2p < 3s < 3p < 4s < 3d... - Exception: Cr adopts 3d⁵ 4s¹; Cu adopts 3d¹⁰ 4s¹ - Ion formation: remove from highest n first (4s before 3d)
- 5
Substitution
**(a) Cr (24 electrons):** - Expected: [Ar] 3d⁴ 4s² (18 + 4 + 2 = 24) ✗ - Actual: [Ar] 3d⁵ 4s¹ (18 + 5 + 1 = 24) ✓ (half-filled d⁵ stability) **(b) Cu⁺ (28 electrons):** - Neutral Cu: [Ar] 3d¹⁰ 4s¹ (29 electrons) - Remove 1 electron from 4s (highest n): [Ar] 3d¹⁰ (28 electrons)
- 6
Calculation
**(a) Cr unpaired electrons:** - 3d⁵: 5 orbitals, each singly occupied → 5 unpaired - 4s¹: 1 orbital, singly occupied → 1 unpaired - Total: 6 unpaired electrons **(b) Cu⁺ unpaired electrons:** - 3d¹⁰: 5 orbitals, each doubly occupied → 0 unpaired - Total: 0 unpaired electrons
- 7
Final answer
| Species | Configuration | Unpaired e⁻ | |---------|--------------|-------------| | Cr | [Ar] 3d⁵ 4s¹ | 6 | | Cu⁺ | [Ar] 3d¹⁰ | 0 | Note: Z values (24, 29) are counting integers (exact) and do not affect any significant-figure consideration in this problem.
- 8
Common trap
Writing Cr as [Ar] 3d⁴ 4s² (forgetting the anomaly) loses the mark AND earns a negative marking penalty. For Cu⁺, the trap is removing the 3d electron instead of 4s — always remove from highest n first in ions.
- 9
Similar NEET-style question
"The number of unpaired electrons in Cu²⁺ (Z = 29) is ___." [Answer: 1. Configuration: [Ar] 3d⁹. Nine d-electrons fill four orbitals doubly and one singly.]
Before solving, remember these
Formulas
Bohr energy (hydrogen-like)
Energy of nth orbit. Negative (bound). Ground state H: -13.6 eV.
| Symbol | Quantity | SI Unit |
|---|---|---|
| E_n | orbit energy | eV |
| Z | nuclear charge | - |
| n | principal | - |
Valid when
- Hydrogen-like atom
- Non-relativistic
Bohr radius (hydrogen-like)
Radius of nth Bohr orbit for hydrogen-like atom of nuclear charge Z.
| Symbol | Quantity | SI Unit |
|---|---|---|
| n | principal quantum number | - |
| Z | nuclear charge | - |
| r_n | orbit radius | Å |
Valid when
- Hydrogen-like (one-electron) atom
- Non-relativistic
de Broglie wavelength
Wavelength associated with moving particle of momentum mv.
| Symbol | Quantity | SI Unit |
|---|---|---|
| h | Planck 6.626e-34 | J*s |
| m | mass | kg |
| v | velocity | m/s |
Valid when
- Non-relativistic
Heisenberg uncertainty
Position and momentum cannot both be known with arbitrary precision.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Δx | position uncertainty | m |
| Δp | momentum uncertainty | kg*m/s |
Valid when
- Quantum scale; meaningful only when Δx, Δp comparable to atomic dimensions
Rydberg formula (H spectrum)
Spectral wavelengths of hydrogen-like atoms. Lyman (n1=1, UV), Balmer (n1=2, visible), Paschen (n1=3, IR).
| Symbol | Quantity | SI Unit |
|---|---|---|
| lambda | wavelength | m |
| R_H | Rydberg 1.097e7 | 1/m |
| Z | nuclear charge | - |
| n1, n2 | integers, n2>n1 | - |
Valid when
- One-electron atom
Exam Traps & Common Mistakes
These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.
Category: Inorganic Exception
Student writes Cr as [Ar]3d⁴4s² (expected) instead of actual [Ar]3d⁵4s¹. Same for Cu: actual [Ar]3d¹⁰4s¹ (one e⁻ promoted from 4s to 3d).
When it triggers
Question asks for ground-state electronic configuration of Cr (Z=24) or Cu (Z=29).
How to avoid
Half-filled (d⁵) and fully filled (d¹⁰) configurations have extra stability from exchange energy and symmetry. Cr and Cu adopt these configurations by promoting one 4s electron.
Category: Similar Terms
Student forgets Z² scaling when applying Bohr formulas to He⁺ (Z=2) or Li²⁺ (Z=3).
When it triggers
Question involves hydrogen-like ion (He+, Li2+, etc.).
How to avoid
E_n = -13.6 × Z²/n² eV. r_n = (0.529/Z) × n² Å. He+: 4× more bound than H. Li²⁺: 9× more bound. Always include Z².
Root cause: concept gap
Correction
Half-filled (d⁵) and full-filled (d¹⁰) configurations have extra exchange-energy stability. Cr and Cu adopt these by promoting one 4s electron.
Root cause: formula misuse
Correction
Always include Z². E_n = -13.6 × Z²/n². For He+: 4× more energetic than H. For Li²⁺: 9×.
Past Year Questions
9 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.
From the following pairs of ions which one is not an iso-electronic pair? Fe2+, Mn2+
How NEET usually asks this
Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.
Write electronic configuration, especially handling Cr/Cu anomalies and ions.
Common distractors
misses cr cu anomaly
Writes 3d⁴4s² instead of 3d⁵4s¹
Bohr energy difference between two levels; compute photon energy/wavelength using Rydberg or E_n formulas.
Common distractors
forgets z squared
Drops Z² for hydrogen-like
Apply Δx·Δp ≥ h/(4π) to find minimum uncertainty given the other.
Common distractors
uses h instead of h over 4pi
Drops 4π factor
Given orbital (e.g. 3p_z) or electron, identify n, l, m_l, m_s. Or check forbidden quantum number combinations.
Common distractors
uses wrong l range
Uses l ≤ n instead of l < n
Sources
Test yourself on this topic with real past-paper questions:
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