1.3.3—Main energy levels

Syllabus
First assessment 2025
Objective
1.3.3
Level
SL

Main Energy-Level Capacity

A main energy level, or shell, is identified by the principal quantum number n = 1, 2, 3, and so on.

maximumelectrons=2n2maximum electrons = 2n²

n Maximum electrons
1 2
2 8
3 18
4 32

Substitute the stated n value into 2n²; do not confuse the shell number with the capacity.

For n = 3, the theoretical capacity is 2(3²) = 18 electrons. This is a capacity, not a claim that every third shell is full: the actual occupancy depends on the atom and the relative energies of available sublevels.

Calculating Shell Capacity

[ 1 ]

What is the maximum number of electrons that can occupy the n=3 main energy level?

Electron Configurations Summary

Retrieve the chain: emission lines reveal discrete levels; capacities, sublevels, orbitals, and spin rules build configurations; first and successive ionization energies then reveal how electrons are held and arranged.

When checking an answer, ask: Did I link a line to a transition? Did I use 2n² and the filling rules? Did I explain an ionization trend or count electrons before a successive-IE jump?