S. Stapf et al., MICROSTRUCTURE OF POROUS-MEDIA AND FIELD-CYCLING NUCLEAR MAGNETIC-RELAXATION SPECTROSCOPY, Journal of applied physics, 75(1), 1994, pp. 529-537
As a special class of nuclear-magnetic-resonance (NMR) relaxation mech
anisms, reorientations mediated by translational displacements, is con
sidered. This particularly refers to systems in which molecules are co
nfined to disordered structures defining (a) local preferential orient
ations and permitting (b) translational degrees of freedom with a cert
ain reduced dimensionality. Examples are molecules adsorbed on surface
s of macromolecules, particle aggregates, and porous media. The dipola
r correlation function of molecules diffusing along such confining str
uctures therefore does not only reflect the molecular dynamics but als
o the structural properties of the confining system. Using field-cycli
ng and other NMR relaxation techniques the frequency dependence of the
spin-lattice relaxation times of several porous materials were measur
ed in a range 3 X 10(2)-3 X 10(8) Hz. The data were numerically analyz
ed using an ''orientational structure factor'' which was introduced ad
hoc and which renders the distribution of wave numbers of the surface
s forming the geometrical restrictions of molecular displacements. Thi
s distribution turned out to consist of a power-law and a single-peak
term. The results are discussed with respect to the microstructure. Ch
aracteristic length scales can be estimated by bringing in data of the
translational diffusion coefficient effective in short time intervals
.