Work

Uncertainties in Calibration of an Optical Spectrometer for Measuring Isotope Ratios in Methane

Year: 2026

Type: article

Abstract: High Resolution Image Download MS PowerPoint Slide The stable isotope ratios of carbon (δ 13 C(CH 4 )) and hydrogen (δ 2 H(CH 4 )) in methane (CH 4 ) from atmospheric air samples provide a tracer that can help distinguish the relative contribution of emission sources. These can be continuously measured at atmospheric monitoring stations by optical isotope ratio spectrometer (OIRS) instruments, providing data that is complementary to isotope ratio mass spectrometry (IRMS) measurements. OIRS instruments directly measure the amount fraction of the 12 CH 4, 13 CH 4, and 12 CH 3 2 H isotopologues, in contrast to the IRMS method of conversion to CO 2 and H 2, so they have different calibration needs related to reference materials (RMs) and analysis protocol. We use a single high-purity source of CH 4, which has been isotopically characterized by IRMS, to produce two calibration RMs that bracket the sample in amount fraction. The isotope ratio measurement is calibrated via the isotopologue amount fraction, which is used to derive analytical expressions for the combined uncertainty. We test this approach using a 550 μmol mol –1 sample (representative of the amount fraction produced from air sampled by the NPL preconcentrator) prepared from a separate CH 4 source. The combined standard uncertainty for the isotope ratio of this sample is 0.19 ‰ for δ 13 C(CH 4 ) and 1.1 ‰ for δ 2 H(CH 4 ), including uncertainty contributions from the isotopic assignment of the CH 4 used for the RMs, their gravimetric preparation, and the spectrometer noise. The dominant contribution to this is from the uncertainty in isotopic assignment of the CH 4 used in RM preparation. The next largest contribution to the uncertainty budget is the measurement noise, estimated from the Allan-Werle deviation, and the smallest contribution is from the preparation uncertainty in the total CH 4 amount fraction in the RMs. We demonstrate that preparing the bracketing RMs from a common CH 4 source results in correlations between isotopologue amount fractions and that neglecting this leads to an overestimation of the isotope ratio uncertainty.

Source: ACS Measurement Science Au

DOI: 10.1021/acsmeasuresciau.5c00094

Authors: Christopher Rennick, Emmal Safi, Aimee Hillier, Emily Hopkinson, Ruth E. Hill-Pearce, Tim Arnold

Institutions: National Physical Laboratory, Lund University, University of Edinburgh

Language: English

Topic: Scientific Measurement and Uncertainty Evaluation

Subfield: Statistics, Probability and Uncertainty

Field: Decision Sciences

Domain: Social Sciences

Open Access status: gold

Estimated APC paid: $3,500