Calculator – Bragg-Brentano Sample Displacement Peak Shift
About the calculator
The calculator calculates the diffraction peak shifts caused by the sample displacement for Bragg-Brentano geometry.
How to use it
- Set the range and step size for the diffraction angle 2θ
- Enter the goniometer radius
- Enter the sample displacement amounts to simulate
Theory
Variables
| Symbol | Meaning | Units |
|---|---|---|
| 2θ | Diffraction angle | degrees |
| R | Goniometer radius | mm |
| D1, D2, D3, D4 | Sample displacement amounts | μm |
The peak shift Δ2θ is calculated as follows:
\[
\Delta 2\theta \;=\; -\frac{2h}{R}\,\cos\theta
\]
Disclaimer
This calculator only calculates the effect of the sample displacement and neglects all other factors, such as sample curvature or roughness, transparency, and defocusing. Always confirm critical parameters through experimental calibration or full instrument modelling. Neither Rigaku nor the authors accepts liability for decisions made solely on these calculated results.
Input parameters
[deg]
[deg]
[deg]
[mm]
Sample displacement
[μm]
[μm]
[μm]
[μm]
Peak shift chart
Systematic peak position error
Export CSV
| 2θ [deg] | Δ2θ1 [deg] | Δ2θ2 [deg] | Δ2θ3 [deg] | Δ2θ4 [deg] |
|---|