Fig. 3:

Diagram of species orientation vectors (red) in relation to the z-dimension vector (blue). For consistency, the angles are always measured on the right side of the intersection of the orientation and z-axis vectors. The geranic acid molecule and geranate ion vectors are defined from the carbonyl carbon to the alkyl chain carbon before the double bond. The choline ion vector begins at the nitrogen and ends at the oxygen atom. This analysis method gives rise to a diagonal symmetry observed in the probability distribution plots.