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XRPD · Calibration procedure

Angle calibration with a silicon standard

Checks the 2θ angle scale of the diffractometer by measuring a certified silicon powder standard and comparing the observed peak positions with the certified values.

Photo of a XRPD
Photo: René Volfík, CC BY-SA 4.0 (cropped), via Wikimedia Commons
PURPOSE

Why this is checked

Polymorph identity is decided mainly by peak positions. A goniometer zero error or misalignment shifts every peak and can lead to a wrong conclusion about crystal form or a false failure against the reference pattern.

Frequency

Typically monthly or quarterly as a check, with formal calibration annually and after tube replacement, alignment or relocation, as defined in your SOP.

Learn how the XRPD works
YOU WILL NEED

Standards & tools

  • Certified silicon powder standard, e.g. NIST SRM 640 series (lattice parameter about 5.4311 Å), or a certified silicon block supplied by the manufacturer
  • Optionally a corundum (alumina) standard such as NIST SRM 1976 for intensity and resolution checks
BEFORE YOU START

Prerequisites

  • X-ray tube warmed up and stable at the operating power
  • Correct slits, filter and method loaded as for routine samples
  • Silicon standard packed flat and level with the holder reference plane
PROCEDURE

Step by step

  1. 1Load the silicon standard and run the calibration scan, e.g. 20–80° 2θ with a small step size.
  2. 2Fit or pick the Cu Kα1 peak positions of the silicon reflections (111), (220), (311), (400) and (331).
  3. 3Compare each observed 2θ with the certified (or calculated) value and record the difference.
  4. 4Optionally record the full width at half maximum (FWHM) and intensity of the (111) peak for trending.
RECORD

Example observation table

Reflection (hkl)Reference 2θ (°)Observed 2θ (°)Difference (°)Result
11128.44128.452+0.011Pass
22047.30147.309+0.008Pass
31156.12056.131+0.011Pass
40069.12769.140+0.013Pass
33176.37376.381+0.008Pass
CALCULATION

How to calculate the result

d = a ÷ √(h² + k² + l²); 2θ = 2 × sin⁻¹(λ ÷ 2d); Difference = Observed 2θ − Reference 2θ
  1. Silicon a = 5.43114 Å; Cu Kα1 λ = 1.540593 Å
  2. (111): d = 5.43114 ÷ √3 = 3.1357 Å
  3. 2θ = 2 × sin⁻¹(1.540593 ÷ (2 × 3.1357)) = 2 × 14.221° = 28.441°
  4. Observed 28.452°: difference = 28.452 − 28.441 = +0.011°, within a typical ±0.02–0.05° tolerance
ACCEPTANCE CRITERIA

Pass if

  • Each silicon peak within the tolerance in your SOP, typically about ±0.02° to ±0.05° 2θ of the certified value (the manufacturer's specification is often tighter). USP <941> and Ph. Eur. 2.9.33 describe the use of a certified standard but leave the limit to the user.
  • No systematic trend across the angle range that would indicate misalignment.
IF IT FAILS

What to do

  • Label the instrument 'Out of calibration' and stop polymorph testing.
  • Re-prepare the silicon standard (sample height error is the most common cause) and repeat once.
  • If it still fails, call service for goniometer alignment.
  • Assess XRPD results since the last passing calibration, especially close identity calls.
In LimsPulse · Calibration Management

LimsPulse schedules this calibration, records the result against limits, and blocks the instrument everywhere if it fails or goes overdue.

See how