Levels Are Ordered Energy Ledgers - Atomic Spectra: Energy Levels and Line Series Step by Step

A spectral line starts from named, ordered training levels. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A toy atom starts as an ordered level ledger

The ledger has 4 named levels. Their energies are training joules, not real atomic data.

levels=4,\quad E_{ground}=0\ \mathrm{J}

The displayed order is the energy order

The middle level is at 4 joules, the upper level is at 9 joules, and the top level is at 15 joules.

E_m=4\ \mathrm{J},\quad E_u=9\ \mathrm{J},\quad E_t=15\ \mathrm{J}