S. Sen et Jf. Stebbins, PHASE-SEPARATION, CLUSTERING, AND FRACTAL CHARACTERISTICS IN GLASS - A MAGIC-ANGLE-SPINNING NMR SPIN-LATTICE RELAXATION STUDY, Physical review. B, Condensed matter, 50(2), 1994, pp. 822-830
A comparative study of the Si-29 spin-lattice relaxation behavior (ind
uced by trace amounts of paramagnetic dopants in the glass) in phase-s
eparated Li2Si4O9 and monophasic Li2Si2O5 and Na2Si2O5 glasses has bee
n made in order to understand the nature of clustering and the resulti
ng intermediate-range ordering. Optically clear tetrasilicate and disi
licate glasses were prepared with 500 to 2000 ppm of Gd2O3, a paramagn
etic dopant. The constituent structural units (Q3 and Q4 species) in a
ll tetrasilicate glasses show strong differential relaxation following
a power-law behavior. This is due to preferential partitioning of Gd3
+ into the lower silica (Q3-rich) regions of these glasses, indicating
the presence of Q species clusters too small to produce optical opale
scence (a few nm to perhaps tens of nm). Preliminary results on Li-6 s
pin-lattice relaxation in these glasses support this hypothesis. Diffe
rential relaxation becomes more pronounced on annealing due to growth
of such clusters. No such differential relaxation was observed in the
monophase disilicate glasses. For spin-lattice relaxation induced by d
irect dipolar coupling to paramagnetic ions, the recovery of magnetiza
tion is proportional to time as M(t) approximately t(alpha) where alph
a is a function of the dimensionality D of mass distribution of the co
nstituent Q species around the Gd3+ paramagnetic centers in the glass.
For tetrasilicate glasses D almost-equal-to 2.62+/-0.22 and the syste
m behaves as a mass fractal up to a length scale of 2 to 3 nm. D is th
us equal to, within error, the theoretical value of 2.6 for an infinit
e percolation cluster of one type of Q species in another. For disilic
ate glasses, D almost-equal-to 3.06+/-0.18 which indicates a three-dim
ensional (and thus nonfractal) mass distribution of the constituent Q
species over the same length scale.