Instrumentation parameters
In XRF, each element's fluorescent X-rays are diffracted at a specific 2-theta angle by the analyzing crystal (Bragg's Law), separating them physically before detection.
Step 1: Apply Bragg's Law to Understand Peak Positions
nλ = 2θ
| Parameter | Value for LiF1 |
|---|---|
| Crystal | LiF1 |
| D-spacing (2d for 200) | 4.028 Å |
| Detectable range (2-theta) | ~15° to 90° |
Each peak position (2-theta) corresponds to a unique wavelength corresponding to unique element
Step 2: From the spectrum, label all unique peaks
In given example the following peaks are clearly labeled:
| 2-Theta | Peak Label | Element |
|---|---|---|
| ~15–16° | Rh-KA-Compton, Rh-KB-Compton | Rhodium |
| ~22° | Zr-KA, Sr-KB1 | Zirconium, Strontium |
| ~25° | Sr-KA | Strontium |
| ~51° | Fe-KB1 | Iron |
| ~57° | Fe-KA | Iron |
| ~58° | Mn-KB1 | Manganese |
| ~62–63° | Mn-KA, Cr-KB1 | Manganese, Chromium |
| ~69° | Cr-KA | Chromium |
| ~76° | Ti-KB1 | Titanium |
| ~85° | Ti-KA | Titanium |
Step 3: Remove the instrument artifact peaks (NOT from sample)
| Peak | Reason to Exclude |
|---|---|
| Rh-KB1 | From the Rhodium X-ray tube anode |
| Rh-KA-Compton / Rh-KB-Compton | Compton scattering of Rh tube radiation off sample |
Step 4: The quantification of elements
The relative peak intensity of elements determined in step 3 provide the amount of respective elements present in the sample.
In given example the following intensity of peaks observed
| Element | Peak Intensity (kcps) |
Relative Abundance |
|---|---|---|
| Fe | ~1050 kcps | Major element |
| Mn | ~200 kcps | Minor element |
| Cr | ~300 kcps | Minor element |
| Ti | ~100 kcps | Trace/minor |
| Zr, Sr | <100 kcps | Trace elements |
There are four samples: metal, alloy, ceramic, polymer and composite – the plot is the same for all four? Also, it would be nice for the users to know the composition of the sample rather than pattern only.
The elemental composition of the sample (metal, alloy, ceramic and composite) can be determined as discussed above from step 1 to 4.