PMID- 38230684 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20240207 IS - 1463-9084 (Electronic) IS - 1463-9076 (Linking) VI - 26 IP - 6 DP - 2024 Feb 7 TI - Machine learning-based correction for spin-orbit coupling effects in NMR chemical shift calculations. PG - 4870-4884 LID - 10.1039/d3cp05556f [doi] AB - As one of the most powerful analytical methods for molecular and solid-state structure elucidation, NMR spectroscopy is an integral part of chemical laboratories associated with a great research interest in its computational simulation. Particularly when heavy atoms are present, a relativistic treatment is essential in the calculations as these influence also the nearby light atoms. In this work, we present a Delta-machine learning method that approximates the contribution to (13)C and (1)H NMR chemical shifts that stems from spin-orbit (SO) coupling effects. It is built on computed reference data at the spin-orbit zeroth-order regular approximation (ZORA) DFT level for a set of 6388 structures with 38 740 (13)C and 64 436 (1)H NMR chemical shifts. The scope of the methods covers the 17 most important heavy p-block elements that exhibit heavy atom on the light atom (HALA) effects to covalently bound carbon or hydrogen atoms. Evaluated on the test data set, the approach is able to recover roughly 85% of the SO contribution for (13)C and 70% for (1)H from a scalar-relativistic PBE0/ZORA-def2-TZVP calculation at virtually no extra computational costs. Moreover, the method is transferable to other baseline DFT methods even without retraining the model and performs well for realistic organotin and -lead compounds. Finally, we show that using a combination of the new approach with our previous Delta-ML method for correlation contributions to NMR chemical shifts, the mean absolute NMR shift deviations from non-relativistic DFT calculations to experimental values can be halved. FAU - Kleine Buning, Julius B AU - Kleine Buning JB AUID- ORCID: 0000-0001-7232-4897 AD - Mulliken Center for Theoretical Chemistry, Clausius Institute for Physical and Theoretical Chemistry, University of Bonn, Beringstr. 4, 53115 Bonn, Germany. grimme@thch.uni-bonn.de. FAU - Grimme, Stefan AU - Grimme S AUID- ORCID: 0000-0002-5844-4371 AD - Mulliken Center for Theoretical Chemistry, Clausius Institute for Physical and Theoretical Chemistry, University of Bonn, Beringstr. 4, 53115 Bonn, Germany. grimme@thch.uni-bonn.de. FAU - Bursch, Markus AU - Bursch M AUID- ORCID: 0000-0001-6711-5804 AD - Max-Planck-Institut fur Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mulheim an der Ruhr, Germany. bursch@kofo.mpg.de. LA - eng PT - Journal Article DEP - 20240207 PL - England TA - Phys Chem Chem Phys JT - Physical chemistry chemical physics : PCCP JID - 100888160 SB - IM EDAT- 2024/01/17 12:43 MHDA- 2024/01/17 12:44 CRDT- 2024/01/17 07:59 PHST- 2024/01/17 12:44 [medline] PHST- 2024/01/17 12:43 [pubmed] PHST- 2024/01/17 07:59 [entrez] AID - 10.1039/d3cp05556f [doi] PST - epublish SO - Phys Chem Chem Phys. 2024 Feb 7;26(6):4870-4884. doi: 10.1039/d3cp05556f.