Calibration And Resolution Make The Spectrum Visible

Close Lines Are Not Resolved

Two channels below the threshold are unresolved.

Two channels below the threshold are unresolved. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Resolution compares calibrated channel spacing

The two channels are 11 and 13, so the separation is 2 channels.

∣13−11∣=2|13 - 11|=2
Close line pairBoth channel values cite calibrated line sources.channelA=11channelB=13separation=2 channelsresolution=3 channelsresolved=0

Below the threshold, the pair is unresolved

The declared resolution is 3 channels, so the resolved bit is 0.

2<3,resolved=02 < 3,\quad resolved=0
Unresolved pairThe rejected bit is exact threshold bookkeeping.channelA=11channelB=13separation=2 channelsresolution=3 channelsresolved=0