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Twins in rotational spectroscopy: Does a rotational spectrum uniquely identify a molecule?
Marcus Schwarting1, Nathan A Seifert2, Michael J Davis3
1Department of Computer Science, University of Chicago, Chicago, Illinois 60637, USA.
Molecular twins, molecules with similar rotational spectra but different structures, exist. This challenges the uniqueness of rotational spectroscopy fingerprints, suggesting the inverse problem is ill-posed.
Area of Science:
- Physical Chemistry
- Spectroscopy
- Computational Chemistry
Background:
- Rotational spectroscopy is a precise technique for gas-phase molecular structure determination.
- It is widely assumed that a molecule's rotational spectrum serves as a unique identifier.
- Advancements in molecular databases and AI necessitate re-evaluating this assumption.
Purpose of the Study:
- To investigate if distinct molecules can exhibit similar rotational spectra.
- To frame molecular structure determination from rotational spectra as an inverse problem.
- To identify 'molecular twins' with similar spectra but different structures.
Main Methods:
- Formulated molecular structure determination as an inverse problem.
- Employed a funnel-based search strategy to identify molecular twins.
- Generated rotational constants for numerous molecules using computational methods and large databases.
Main Results:
- Demonstrated the existence of molecular twins within typical computational accuracy.
- Indicated that the inverse problem of determining molecular structure from rotational spectra is ill-posed.
- Showcased that some molecular twins can be differentiated with higher accuracy methods or additional experiments.
Conclusions:
- The assumption of unique rotational spectra fingerprints is challenged.
- The inverse problem is ill-posed, meaning a unique solution may not always exist.
- Higher accuracy computations and experimental data can help resolve ambiguities for some molecular twins.
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