Abstract: In a method and a magnetic resonance (MR) apparatus for diffusion-gradient MR imaging, vectors for the diffusion gradients are determined by generating a cuboid with edges that represent the maximum amplitudes that are achievable by the gradient system of the MR apparatus, and a spherical shell is also generated that represents limit values for effective gradient amplitudes. Areas of the spherical shell that are within the cuboid are used as end points of origin vectors that originate from the origin of the intersecting axes of the gradient system. Diffusion gradient vectors that are to be used for acquiring the diffusion-weighted MR data are then selected from these origin vectors dependent on fulfillment of a condition for producing a trace-weighted image with low artifacts.