Object:Clinical diffusion imaging is based on two assumptions of limited validity: that the radial projections of the diffusion propagator are Gaussian, and that a single directional diffusivity maximum exists in each voxel. The former can be removed using the biexponential and diffusional kurtosis models, the latter using generalised diffusion-tensor imaging. This study provides normative data for these three models.Materials and methods:Eighteen healthy subjects were imaged. Maps of the biexponential parameters Dfast, Dslow and fslow, of D and K from the diffusional kurtosis model, and of diffusivity D-were obtained. Maps of generalised anisotropy (GA) and scaled entropy(SE) were also generated, for second and fourth rank tensors. Normative values were obtained for 26 regions.Results:In grey versus white matter, Dslow and D-were higher and Dfast, fslow and K were lower. With respect to maps of D- anatomical contrast was stronger in maps of Dslow and K. Elevating tensor rank increased SE, generally more significantly than GA, in: anterior limb of internal capsule, corpus callosum, deep frontal and subcortical white matter, along superior longitudinal fasciculus and cingulum.Conclusion:The values reported herein can be used for reference in future studies and in clinical settings.