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Using Bayesian Model Selection to Advise Neutron Reflectometry Analysis from Langmuir-Blodgett Monolayers

preprint
submitted on 23.10.2019 and posted on 25.10.2019 by Andrew McCluskey, Tom Arnold, Joshaniel F. K. Cooper, Tim Snow
The analysis of neutron and X-ray reflectometry data is important for the study of interfacial soft matter structures. However, there is still substantial discussion regarding the analytical models
that should be used to rationalise relflectometry data. In this work, we outline a robust and generic framework for the determination of the evidence for a particular model given experimental data, by
applying Bayesian logic. We apply this framework to the study of Langmuir-Blodgett monolayers by considering three possible analytical models from a recently published investigation [Campbell et al., J. Colloid Interface Sci, 2018, 531, 98]. From this, we can determine which model has the most evidence given the experimental data, and show the effect that different isotopic contrasts of neutron reflectometry will have on this. We believe that this general framework could become an important component of neutron and X-ray reflectometry data analysis, and hope others more regularly consider the relative evidence for their analytical models.

History

Email Address of Submitting Author

andrew.mccluskey@diamond.ac.uk

Institution

Diamond Light Source & University of Bath

Country

United Kingdom

ORCID For Submitting Author

0000-0003-3381-5911

Declaration of Conflict of Interest

No conflict to declare

Licence

Exports