plotted in Fig. 3, in which it can be seen that the stiffness
increases from 1.5 GPa in the as-grown film up to 15 GPa after
4
CVD treatments, while the hardness changes from 0.01 GPa
to 0.8 GPa. Typical values of these parameters for dense silica
glass are 70 and 5.5 GPa, respectively. CVD necking has a
dramatic effect on the mechanical properties of the colloidal
crystal.
A measure of the fine tuning of pore size achievable by the
method herein presented can be obtained by analysing the
evolution of the optical properties of the colloidal crystals. It is
well known that the 3D ordering of sub-micrometer size
colloids gives rise to diffraction of visible and near infrared light
at wavelengths determined by the refractive index of the
particles and the geometry of the arrangement. These optical
properties are extremely sensitive to disorder or lack of
homogeneity. Therefore, the uniformity of the silica coating
should reflect in the quality of the optical spectra of the silica-
infiltrated crystals. In Fig. 4 we show three spectra correspond-
ing to a planarized crystal prior and after different degrees of
silica infiltration by CVD. The spectral maximum detected
corresponds to the diffraction coming from the (111) colloidal
crystal planes of the sample, while the side fringes are a
consequence of the finite crystal size of the sample. As we grow
Fig. 4 Optical reflectance spectra of a planarized colloidal crystal prior to
silica infiltration (solid line) and after two different silica infiltration
treatments (dotted and dashed line). From the optical analysis we can
estimate that 30 and 70% of the pore volume is infiltrated, respectively.
where d(111) is the interplanar distance along the [111] direction
and åeÅ is the volume averaged dielectric constant of the
composite:
åeÅ = ffSiO2
e
s
+ (1 2 ffSiO2)e
b
(2)
the
where ffSiO2 is the filling fraction of silica, and e
s
and e
b
dielectric constant of the micro-spheres and the background,
respectively. Thus we are gradually increasing the average
refractive index in the structure as we increase the filling
fraction of silica and close the air pores, keeping the lattice
constant of the system unaltered. Formulas (1) and (2)
combined explains the red shift in the position of the reflectance
maximum detected and allows us to estimate the infiltrated pore
volume (see Fig. 4). In addition, the fine structure, that is, the
secondary minima resulting from finite crystal size effects,
remains after the CVD infiltration. The good optical quality of
the infiltrated samples are proof of the uniformity of the silica
coating achieved by the CVD process proposed herein.
silica on the micro-spheres, a clear red-shift of the main peak is
observed, which can be explained by the formula:12
1
⁄
2
l
(111) = 2d(111)åeÅ
(1)
In conclusion, we report here a new method to control the
pore size and enhance the connectivity of silica colloidal
crystals. A chemical vapour deposition process performed at
room temperature allows the growth of a continuous silica layer
of controlled thickness interconnecting all the micro-spheres
while maintaining unaltered the order and unit cell dimensions
of the lattice. This method represents an alternative way to
increase the mechanical stability of a colloidal crystal when
sintering is not possible. Also, it is not limited to silica CVD on
silica micro-spheres and can be extended to micro-spheres and
CVD precursors of other compositions.
Fig. 2 SEM characterization of planarized colloidal crystals made of silica
micro-spheres after being infiltrated with silica using the coating process
described in the text. (a) and (b) show details of the external surface prior to
and after a few silica coating cycles, respectively. (c) Cleaved edge showing
that the treatment does not disturb the long range order of the planar
structure. (d) Detail of a cleaved edge corresponding to an internal {111}
plane of the structure. The closing of the external pores occurs when the
coating thickness reaches the value 1.155D, where D is the diameter of the
spheres. However, at this value the internal pores of the structure remain
open although not interconnected any more.
G. A. O. is Government of Canada Research Chair in
Materials Chemistry. The Natural Sciences and Engineering
Research Council of Canada and the University of Toronto
generously provided financial support for this work.
Notes and references
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