Peak intensity follows a checked signed amplitude, so cancellation and growth are separate rows. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Same-sign terms add before intensity

Two same-sign training terms give amplitude 2 and intensity 4. The square happens after the signed sum is known.

F=1+1=2,I=F2=4F=1+1=2,\quad I=F^{2}=4
Structure factorSigned contributions add before intensity is squared.termtermsigned sum

Signed amplitude controls the peak intensity

The scan compares addition, cancellation, and a larger same-sign sum. Intensity follows the squared amplitude in every row.

termsFI+,+24+,00+,+,+39\begin{array}{c|c|c}\text{terms}&F&I\\+,+&2&4\\+,-&0&0\\+,+,+&3&9\\\end{array}
Structure factorSigned contributions add before intensity is squared.termtermsigned sum

More same-sign terms make a larger squared peak

The three-term row gives amplitude 3 and intensity 9. It is still a sign-only training model, not a full crystallographic form factor.

F=1+1+1=3,I=9F=1+1+1=3,\quad I=9
Structure factorSigned contributions add before intensity is squared.termtermtermsigned sum