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CHEM1011 · Chemistry 1a

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Chapter 3 of 12 · CHEM1011

Atomic Structure and Periodic Trends

Week 2 builds the electronic structure of atoms — the four quantum numbers, orbital shapes and ground-state electron configurations written with the Aufbau principle, Hund's rule and the Pauli exclusion principle — then uses effective nuclear charge and shielding to rationalise periodic trends. Configurations, ion configurations and trend-ranking questions are staple Threshold-quiz and in-term-test items, while the deeper 'explain the trend from Z_eff' reasoning extends into the final exam.

In this chapter

What this chapter covers

  • 01The four quantum numbers: n (size/energy), ℓ (shape, 0…n−1 = s/p/d/f), mₗ (orientation, −ℓ…+ℓ), mₛ (spin ±½)
  • 02Orbitals per level = n², maximum electrons = 2n²; number of orbitals in a subshell = 2ℓ + 1
  • 03Orbital shapes: s spherical, p dumbbell (three), d cloverleaf (five); nodal surfaces increase with n
  • 04Electron configurations by Aufbau order (1s 2s 2p 3s 3p 4s 3d 4p…); Hund's rule and Pauli in arrows-in-boxes
  • 05Ion configurations: remove the highest-n (4s before 3d) electrons first for cations; the Cr and Cu anomalies
  • 06Effective nuclear charge Z_eff = Z − S and shielding as the engine behind every trend
  • 07Atomic and ionic radius, ionisation energy, electron affinity and electronegativity across periods and down groups
  • 08Trend anomalies: the Mg→Al and P→S ionisation-energy dips, from subshell energy and pairing
Worked example · free

Electron configuration of an ion and its magnetism

Q [4 marks]. Iron has atomic number Z = 26. Write the ground-state electron configuration of a neutral iron atom and of the Fe³⁺ ion using noble-gas shorthand, then state how many unpaired electrons Fe³⁺ has and whether it is paramagnetic. (4 marks)
  • +1Neutral Fe (Z = 26) by the Aufbau order, filling 4s before 3d: [Ar]4s²3d⁶ (the [Ar] core accounts for 18 electrons, leaving 8 in 4s and 3d).
  • +1Form Fe³⁺ by removing 3 electrons. For cations, remove the highest principal-quantum-number electrons first: take both 4s electrons, then one 3d electron.
  • +1That leaves [Ar]3d⁵ for Fe³⁺ (18 + 5 = 23 electrons, correct for a 26 − 3 = 23-electron ion).
  • +1The five 3d electrons occupy the five degenerate d orbitals singly with parallel spins (Hund's rule), giving 5 unpaired electrons — so Fe³⁺ is paramagnetic.
Fe = [Ar]4s²3d⁶; Fe³⁺ = [Ar]3d⁵ (remove 4s before 3d). The half-filled 3d⁵ set has 5 unpaired electrons, so Fe³⁺ is paramagnetic.
Sia tip — The classic trap is removing 3d before 4s when you ionise — always strip the highest-n (4s) electrons first, even though 3d filled last. Hund's rule then spreads the 3d⁵ electrons out singly, which is why the half-filled set has the maximum unpaired count. Ask Sia to do Fe²⁺ so you see the [Ar]3d⁶ configuration and one paired d orbital.
Glossary

Key terms

Quantum numbers (n, ℓ, mₗ, mₛ)
The four indices that label an electron: n (principal, size/energy), ℓ (angular, shape; 0…n−1 for s/p/d/f), mₗ (magnetic, orientation; −ℓ…+ℓ) and mₛ (spin, +½ or −½). No two electrons in an atom share all four (Pauli).
Aufbau principle
Fill orbitals from lowest energy upward (1s 2s 2p 3s 3p 4s 3d 4p…), placing electrons in the lowest available orbital first.
Hund's rule
Within a set of degenerate orbitals, place one electron in each with parallel spins before any pairing, maximising the number of unpaired electrons.
Effective nuclear charge (Z_eff)
The net positive charge felt by a valence electron, Z_eff = Z − S, where S is the shielding by inner electrons. Rising Z_eff across a period pulls electrons in and drives the periodic trends.
Ionisation energy
The energy to remove an electron from a gas-phase atom or ion; it rises across a period and falls down a group, with dips at Mg→Al (3p vs 3s) and P→S (pairing in 3p⁴).
Paramagnetic / diamagnetic
Paramagnetic species have unpaired electrons and are drawn into a magnetic field; diamagnetic species have all electrons paired and are weakly repelled.
FAQ

Atomic Structure and Periodic Trends FAQ

Why do I remove 4s electrons before 3d when making a cation, even though 4s filled first?

Once the 3d orbitals are occupied, they drop below 4s in energy, so the 4s electrons become the outermost and highest-energy ones — and those leave first when the atom ionises. That is why Fe = [Ar]4s²3d⁶ becomes Fe²⁺ = [Ar]3d⁶ and Fe³⁺ = [Ar]3d⁵. Filling order and removal order are genuinely different; mixing them up is a common in-term-test slip.

What causes the dips in ionisation energy at aluminium and sulfur?

Both come from subshell structure. Mg→Al: aluminium's outer electron is in a higher-energy 3p orbital (vs magnesium's 3s), so it is easier to remove and IE dips. P→S: phosphorus has a stable half-filled 3p³, whereas sulfur's 3p⁴ has one paired electron whose electron–electron repulsion makes it easier to remove — so IE dips again. These are the standard 'anomalies' the exam asks you to explain from Z_eff and orbital occupancy.

How do effective nuclear charge and shielding explain the trends?

Valence electrons are shielded from the full nuclear charge by the core, so they feel Z_eff = Z − S. Across a period Z rises but shielding barely changes, so Z_eff climbs — atoms shrink and ionisation energy, electron affinity and electronegativity rise. Down a group a new shell is added, the valence electrons sit further out and are better shielded, so atoms grow and ionisation energy falls. Almost every trend question reduces to a Z_eff argument.

Can Sia help me with electron configurations and periodic trends?

Yes. Sia can write a configuration step by step, handle the Cr and Cu half/full-d anomalies, form the correct ion by removing the right electrons, and count unpaired electrons for a magnetism call. It can also walk a trend-ranking question through the Z_eff and shielding logic. It explains the method and checks your reasoning; it does not do graded assessment, and UNSW academic-integrity rules apply.

Study strategy

Exam move

Get configurations automatic first: learn the Aufbau fill order, write neutral atoms in noble-gas shorthand, and practise the two habits the exam tests — removing 4s before 3d for cations and handling the Cr ([Ar]4s¹3d⁵) and Cu ([Ar]4s¹3d¹⁰) anomalies. Pair every configuration with an arrows-in-boxes sketch so Hund's rule and unpaired-electron counts (and therefore paramagnetism) are second nature. For periodic trends, do not memorise the arrows — derive them each time from Z_eff = Z − S and shielding, because the same reasoning answers radius, ionisation energy, electron affinity and electronegativity, and it is what earns the marks in the 'explain' questions. Keep the two ionisation-energy dips (Mg→Al, P→S) ready with their one-line explanations. Rehearse a few 'which element am I?' clue chains, since these bundle several trends into one item. When a configuration or trend won't click, ask Sia to re-derive it a different way.

Working through Atomic Structure and Periodic Trends in CHEM1011? Sia is AskSia’s AI Chemistry tutor — ask any CHEM1011 Atomic Structure and Periodic Trends question and get a clear, step-by-step explanation grounded in how CHEM1011 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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