We have determined the crystal structure of manganese(II) diacetate tetrahy
drate at 300 and 14 K by single-crystal neutron diffraction. Proton density
distributions for each of the three crystallographically distinct methyl g
roups have been calculated by Fourier difference. At room temperature the o
bserved densities are those of quasi-free rotors. At low temperature rather
well localized protons are observed. Inelastic neutron scattering measurem
ents performed with single crystals allow us to assign each of the three tu
nnelling lines to a particular crystal site. Classical molecular dynamics s
imulations give density distributions in qualitative agreement with the obs
ervations. With quantum mechanics proton distributions can be represented w
ith rotational wavefunctions convoluted with static distributions of librat
ional coordinates. The effective rotational potentials are temperature depe
ndent.