Binding per nucleon is a budget check: subtract the nucleus energy from the free-nucleon total, then divide by the nucleon count. The rows show 8 joules across 4 nucleons, 18 joules across 6, and 16 joules across 8, giving per-nucleon values 2, 3, and 2. Real binding comparisons depend on measured masses, reference states, unit conversions, rounding, and uncertainty.

Free and bound energy budgets close per nucleon. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Four nucleons bind at two each

Free total 20 joules minus nucleus budget 12 joules gives binding 8 joules across 4 nucleons.

8÷4=28\div4=2
Binding scan rowFree, nucleus, binding, and per-nucleon values are checked.freebindingnucleons=4free each=5 Jfree total=20 Jnucleus=12 Jbinding=8 Jper nucleon=2 J

Six nucleons bind at three each

Free total 30 joules minus nucleus budget 12 joules gives binding 18 joules across 6 nucleons.

18÷6=318\div6=3
Binding scan rowFree, nucleus, binding, and per-nucleon values are checked.freebindingnucleons=6free each=5 Jfree total=30 Jnucleus=12 Jbinding=18 Jper nucleon=3 J

Eight nucleons return to two each

Free total 40 joules minus nucleus budget 24 joules gives binding 16 joules across 8 nucleons.

16÷8=216\div8=2
Binding scan rowFree, nucleus, binding, and per-nucleon values are checked.freebindingnucleons=8free each=5 Jfree total=40 Jnucleus=24 Jbinding=16 Jper nucleon=2 J