LAUSR

Ab initio nuclear magnetic resonance (NMR) chemical shift prediction plays an important role in the determination or validation of crystal structures. The ability to predict chemical shifts more accurately can translate to increased confidence in the resulting chemical shift or structural assignments. Standard electronic structure predictions for molecular crystal structures neglect thermal expansion, which can lead to an appreciable underestimation of the molar volumes. This study examines this volume error and its impact on 68 $^{13}$C and 28 $^{15}$N predicted chemical shifts taken from twenty molecular crystals. It assesses the ability to recover more realistic room-temperature crystal structures using the quasi-harmonic approximation and how refining the structures impacts the chemical shifts. Several pharmaceutical molecular crystals are also examined in more detail. On the whole, accounting for quasi-harmonic expansion changes the $^{13}$C and $^{15}$N chemical shifts by 0.5 and 1.0 ppm on average. This in turn reduces the root-mean-square errors relative to experiment by 0.3 ppm for $^{13}$C and 0.7 ppm for $^{15}$N. While the statistical impacts are modest, changes in individual chemical shifts can reach multiple ppm. Accounting for thermal expansion in molecular crystal chemical shift prediction may not be needed routinely, but the systematic trend toward improved accuracy with experiment could be useful in cases where discrimination between structural candidates is challenging, as in the pharmaceutical theophylline.