I think I might have misspoke in my original comment. Density of elements only affects heavy elements on older XRF handheld model's because not all them had the ability to agitate Alpha, Beta and Gamma particles. Leading to misidentification of alloys.It is still not the density, but the exited electrons from the different shells and the energy they release in reaction to the incoming energy from the source.
One can say that there is a certain correlation between the density and the electron shells. But it still is not the density that are read.
Light elements such as Phosphorus or Silica also have trouble reading due to the bombardment reaction being so little the sensors/filters can’t read it.
Bench top models are way more accurate. If you are looking to invest I’d would tell anybody reading it. Handheld XRF’s are for convenience and spot checks.
Example: If you work in a machine shop, stainless steel bar stock all look the same. Handheld is great for verification. Especially because some alloys differ greatly in hardness due to elements composition. (I may have seen a CNC machine or two crash in my day)
Bench models are used for validation and verification. It will easily identify gold alloys for instance if you owned a cash for gold business.
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