Hirshfeld Atom Refinement (HAR) is a quantum crystallographic method for analyzing single-crystal X-ray diffraction data, providing accurate and precise structural parameters. Despite its success in predicting hydrogen-atom parameters, the application of HAR is fundamentally limited to molecular crystals. Inspired by two recently developed HAR versions that employ periodic-boundary conditions, here we introduce a new variant of periodic HAR (pHAR) that is applicable to any periodic-network structure while remaining compatible with conventional HAR by using atom-centered Gaussian orbitals with a Bloch wave formalism. pHAR was tested against high-quality single-crystal diffraction data for boranes and borates comprising N-H and B-H bonds in different chemical environments. The results demonstrate a close agreement of X-H bond lengths with reference data from neutron-diffraction experiments with improved precision. Using pHAR, this study has nearly doubled the previously available body of reliable experimental structural data on B-H bonds.
Recent developments in molecular qubits have focused on transitions among electron spin states interfaced with optical electronic transitions for better sensing resolutions. However, molecular electronic states can also form pseudospins, and using them as qubits would bypass the additional step of spin-optical interfacing. In this work, we discuss whether precessions of molecular orbital pseudospins under environmental influence can allow for all-optical quantum sensing via optical pump-probe spectroscopy. We find that these oscillations can survive rotational averaging and can be detected in isotropic environments. Unfortunately, fast electronic decoherence is likely to constrain measurements to environmental quantities that strongly influence orbital pseudospins, which are uncommon. This pitfall may be mitigated by further molecular engineering, which can be faster than spin-based qubits, given the high ab initio predictability of molecular electronic states.

