The Displacement Correlation Tensor from Double Wave Vector Diffusion Experiments Encodes Information About Pore Microstructure & Ensemble Properties

Sune Nrhj Jespersen¹, Niels Buhl^1,2

Pulsed field gradient diffusion sequences with multiple diffusion encoding blocks have recently gained renewed interest in the magnetic resonance community. Some of the properties that appear most promising are the ability to measure pore sizes, detect anisotropic pores in macroscopically isotropic media, and the enhancement of diffraction peaks. Here we introduce the displacement correlation tensor Q, and discuss some of its properties. In particular, we derive a new result revealing the nature of the interplay between ensemble and microscopic anisotropy. We also note that Q is sensitive to pore surface-to-volume ratio, and can be used to measure curvature of fibers.