Calibration And Resolution Make The Spectrum Visible

Close Lines Are Not Resolved

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=0lowerupper5lowerupper6

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=0lowerupper5lowerupper6