Threshold Requirement Scan

Threshold Requirement Three-Row Scan

The same available energy passes or fails depending on what the reaction's own product particles actually cost. 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 lighter-product reaction clears the same available energy

Chapter six always fixed the requirement at 200 joules and varied the available energy. Here the available energy stays fixed at 200 joules and the requirement -- what the reaction actually costs to produce its output particles -- changes instead: 150 joules gives margin 50 and accepted bit 1.

200−150=50,a=1200 - 150=50,\quad a=1
Threshold requirement rowThe same available energy is compared against a different reaction's requirement.availableEnergy=200 JrequiredEnergy=150 Jaccepted

The book's usual reaction sits exactly at this available energy

Chapter six always fixed the requirement at 200 joules and varied the available energy. Here the available energy stays fixed at 200 joules and the requirement -- what the reaction actually costs to produce its output particles -- changes instead: 200 joules gives margin 0 and accepted bit 1.

200−200=0,a=1200 - 200=0,\quad a=1
Threshold requirement rowThe same available energy is compared against a different reaction's requirement.availableEnergy=200 JrequiredEnergy=200 Jaccepted

A heavier-product reaction rejects the same available energy

Chapter six always fixed the requirement at 200 joules and varied the available energy. Here the available energy stays fixed at 200 joules and the requirement -- what the reaction actually costs to produce its output particles -- changes instead: 250 joules gives margin -50 and accepted bit 0.

200−250=−50,a=0200 - 250=-50,\quad a=0
Threshold requirement rowThe same available energy is compared against a different reaction's requirement.availableEnergy=200 JrequiredEnergy=250 Jrejected