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1.2.2Physical Chemistry

Quantum Shells — Edexcel AS Chemistry Revision Notes & Topical Questions

5 min read 5 parts Lesson 6 of 42

📚 Edexcel AS Chemistry Hub / Topical Revision
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Part 1 of 5Shells and the Principal Quantum Number

The Bohr-style shell model is a simple but powerful description of where electrons are found.

Quantum shells
  • Quantum shells Electrons occupy fixed energy levels called shells, numbered by the principal quantum number n = 1, 2, 3, 4 outwards from the nucleus.
Energy
  • Energy Shells further from the nucleus have higher energy, and electrons fill the lowest available energy first.
Capacity
  • Capacity Shell n can hold up to 2n² electrons, giving 2, 8, 18 and 32 electrons for n = 1 to 4.
Evidence
  • Evidence Large jumps in successive ionisation energies show that electrons are grouped into shells.

Part 2 of 5Subshells

Subshells
Types
  • Types Each shell is divided into subshells named s, p, d and f, which differ slightly in energy.
Number per shell
  • Number per shell Shell n contains n subshells, so n = 1 has only 1s, n = 2 has 2s and 2p, n = 3 has 3s, 3p and 3d.
Capacity
  • Capacity The s, p, d and f subshells hold a maximum of 2, 6, 10 and 14 electrons respectively.
Order
  • Order Within a shell the energy order is s < p < d < f, but the 4s subshell fills before 3d.
Shell (n)SubshellsMax electrons
11s2
22s 2p8
33s 3p 3d18
44s 4p 4d 4f32

Part 3 of 5Using Ionisation Data

1
First ionisation energies across a period increase with nuclear charge but show small dips that point to subshell structure.
2
The drop from Be to B shows that the 2p electron is higher in energy than the 2s electrons.
3
The drop from N to O shows pairing of electrons in a p orbital, which adds repulsion.
4
Successive ionisation energies show shells as large jumps, while the smaller dips reveal subshells.

Part 4 of 5Worked Example

Question

  • How many subshells and how many electrons can the third shell hold?
  • Give the subshells in order of capacity.

  1. Shell n = 3 contains 3 subshells: 3s, 3p and 3d.
  2. Capacities are 2, 6 and 10 electrons respectively.
  3. Total = 2 + 6 + 10 = 18, which agrees with 2n² = 2 × 3² = 18.

Answer Three subshells (3s, 3p, 3d) holding up to 18 electrons.

Part 5 of 5Exam Checklist & Tips

1.2.2 – Key Points for the Exam

  • Principal quantum number The number n that identifies a shell and its relative energy.
  • Subshell A division of a shell, labelled s, p, d or f.
  • Shell capacity The maximum number of electrons in shell n, equal to 2n².
  • Energy level A fixed amount of energy that an electron in an atom can have.

Common Mistakes

  • Saying electrons orbit the nucleus in fixed circular paths; they occupy regions of space with fixed energies.
  • Stating that shell 3 holds only 8 electrons in all cases; its full capacity is 18.
  • Forgetting that 4s is filled before 3d.
  • Mixing up the number of subshells with the number of electrons in a shell.

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