Considering ideal XRD output for Dolomite and Calcite, there is an XRD peak at approximately 2.93 degrees 2-theta to the left (low angle) of each primary line (peak) when the primary line is very tall. Approximately 26.5° for Calcite, and 28.0° for Dolomite (CuKa1 beam).
I've done a little digging and have concluded that these peaks don't match any known minerals from RRUFF or Mindat databases. My thought is that these look strongly like escape peaks one might find in ED-XRF, which I've commonly encountered on a handheld model.
Some publications have identified the calcite-minus-2.93 peak as quartz, probably incorrectly. Other publications have claimed this peak in Dolomite and Calcite spectra are either Vaterite or Quartz. However, these peaks are not accompanied by other Quartz or Vaterite peaks, so I think those publications have made a mistake.
How would I go about mathematically finding the most common escape, pile-up, or multiple-refraction positions? I'd like to see if this offset is both common and predictable with a simple formula.
Stats:
Using CuKa1 beam. The data I am looking at was probably run with a collector of Silicon, but I don't know for certain.