  Nuclear magnetic resonance (NMR) diffusion experiments are widely employed as
they yield information about structures hindering the diffusion process, e.g.
about cell membranes. While it has been shown in recent articles, that these
experiments can be used to determine the exact shape of closed pores averaged
over a volume of interest, it is still an open question how much information
can be gained in open systems. In this theoretical work, we show that the full
structure information of periodic open systems is accessible. To this end, the
so-called 'SEquential Rephasing by Pulsed field-gradient Encoding N
Time-intervals' (SERPENT) sequence is used, which employs several diffusion
weighting gradient pulses with different amplitudes. The structural information
is obtained by an iterative technique relying on a Gaussian envelope model of
the diffusion propagator. Two solid matrices that are surrounded by an
NMR-visible medium are considered: a hexagonal lattice of cylinders and a cubic
lattice of triangles.
