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CH 5 + is a prototype of an extremely flexible molecule for which the quantum states have eluded an analytical description so far. Therefore, the reconstruction of its quantum states relies on methods as e.g. the search for accumulations of combination differences of rovibrational transitions. Using the available high resolution data of the Cologne laboratories [1] , this reconstruction has been improved by using the properties of kernel density estimators as well as new combinatorial approaches to evaluate the found accumulations. Two new symmetry sets have been discovered, and the known ones extended, with 1063 of the 2897 measured lines assigned, which is a significant improvement over the 65 assignments of the previous work. This allowed us not only to reconstruct more parts of the ground state levels, but also of the vibrationally excited states of CH 5 + . [ABSTRACT FROM AUTHOR]

The rotationally resolved infrared (IR) spectrum of the He-H 3 + complex has been measured in a cryogenic ion trap experiment at a nominal temperature of 4 K. Predissociation of the stored complex has been invoked by excitation of the degenerate ν 2 mode of the H 3 + sub-unit using a pulsed optical parametric oscillator system. An assignment of the experimental spectrum became possible through one-to-one correlations with bands of the spectrum theoretically predicted in Paper I [Harding et al., J. Chem. Phys. 156, 144307 (2022)]. 19 bands have been assigned and analyzed, and the energy term diagram of the lower states of this floppy molecular complex has been derived from combination differences (CDs) in the experimental spectrum. Ground state combination differences (GSCDs) reveal a large part of the energy term diagram for the He-H 3 + complex in its vibrational ground state, v = 0. Experimental and theoretical term energies agree within experimental accuracy for the rotational fine structure associated with the total angular momentum quantum number J and the parity e/f as well as for the coarse spacing of the lowest K states of the complex. This favorable comparison shows that the potential energy surface (PES) calculated in Paper I is accurate. The barriers between the three equivalent global minima in this PES are relatively low and the He-H 3 + complex is extremely floppy, with nearly unhindered internal rotation of the H 3 + sub-unit. The resulting Coriolis interactions couple the internal and end-over-end rotation of the complex and contribute significantly to the energy terms. They are observed both in experiment and theory and are, e.g., the origin of different rotational constants for states of e and f parity. Also in this respect, experiment and theory agree very well. Despite the assignment and analysis of many bands of the extremely rich IR spectrum of He-H 3 + , higher levels of excitation, including the complex stretching mode, need further attention.