The anisotropic couplings obtained from the 1H nuclear magnetic resonance (NMR) spectra of partially oriented molecules with internal rotation are difficult to analyse because the order parameters for each conformer cannot be deduced without assumptions. The purpose of this paper is to show how a model for the anisotropic short-range potential can be useful in the interpretation of the high-resolution 1H NMR spectra of the flexible molecules furfural, 2-chlorobenzaldehyde, and 2,2′-dithiophene dissolved in a 55% Merck ZLI 1132-45% N-(p-ethoxybenzylidene)-2,6-dideutero-p'-n-butylaniline (w/w) mixture. In this nematic mixture there is no contribution to the anisotropic potential from the interaction between the solute molecular quadrupole moment and the average electric field gradient of the liquid crystal solvent; the dominant anisotropic intermolecular potential in this mixture is taken to result solely from short-range interactions. We find good agreement between experiment and the order parameters calcu...