A toy Bragg check is a path-difference equality. 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 first-order toy Bragg fit compares one wavelength with two spacings

The plane spacing is 3 meters and the wavelength is 6 meters.

d=3 m,λ=6 md=3\ \mathrm{m},\quad \lambda=6\ \mathrm{m}
First-order fitThis is the toy backscatter path ledger.d=3 mlambda=6 mn=1n*lambda=6 m2d=6 maccepted=1

The equality closes exactly

Order 1 gives the left side 6 meters and the right side 6 meters.

nλ=16=6 m=2d,accepted=1n\lambda=1\cdot 6=6\ \mathrm{m}=2d,\quad accepted=1
Accepted equalityNo angle-dependent diffraction is claimed.d=3 mlambda=6 mn=1n*lambda=6 m2d=6 maccepted=1