Gamma emission lowers a training energy ledger without changing A or Z. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Gamma emission keeps the nucleus identity

A gamma step keeps A 12 and Z 6 unchanged in this ledger.

A:12=12Z:6=6A:12=12\quad Z:6=6
Gamma identity ledgerA and Z stay fixed while energy changes.gammaparent A=12 Z=6 N=6daughter A=12 Z=6 N=6emit A=0 Z=0dE=3 J

The gamma photon carries the energy drop

The training energy ledger drops from 9 joules to 6 joules, so gamma carries 3 joules.

96=3 J9-6=3\ \mathrm{J}
Gamma energy ledgerNo spectrum is claimed; only the energy ledger closes.gammaparent A=12 Z=6 N=6daughter A=12 Z=6 N=6emit A=0 Z=0dE=3 J