Nuclear Relation Cross Scans

Binding per Nucleon Three-Row Scan

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