Reciprocal Spots Are Indexed Addresses

Reflection Ledger Cites the Spot

The Bragg row cites the reciprocal address that belongs to its family.

The Bragg row cites the reciprocal address that belongs to its family. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The reflection cites the same projected spot

The reflection ledger names spot 2,2 and spacing 5 m.

spot=2,2d=5 m\text{spot}=2,2\quad d=5\ \text{m}
X-ray reflection ledgerThe Miller spacing, Bragg path, and projected reciprocal spot share one source.spacingspacingplane familyhkl=2,2,1spot=2,2d=5 mlambda=6 mpath=6 maccepted=1planeplanepath: 6 m

The source chain rejects an equal-looking copy

A copied spot with the same numbers is not a source unless the map check is the one cited.

source slot matters, not only (2,2)\text{source slot matters, not only }(2,2)
X-ray reflection ledgerThe Miller spacing, Bragg path, and projected reciprocal spot share one source.spacingspacingplane familyhkl=2,2,1spot=2,2d=5 mlambda=6 mpath=6 maccepted=1planeplanepath: 6 m