20920 J. Phys. Chem. B, Vol. 110, No. 42, 2006
Pal and Chakravorty
Figure 11. Schematic representation of proposed formation of the
micropine dendritic structure of zinc. (a) Fast growth along [101h0]
direction. (b) Subsequent side-branch growth alone [01h10] and [11h00]
directions. (c) Further growth of minibranches.
directions, for example, [101h0], initiates the growth along the
electric field direction and forms a needle in the direction of
[101h0]. Because of the electric field, growth of the dendrite in
this direction is much faster than along the other directions
(Figure 11a). Subsequent growth along the other two crystal-
lographically equivalent directions [011h0] and [11h00], leads to
the formation of symmetric branches on both sides (Figure 11b).
With further growth, all of the branches become thicker and
finally interconnected (Figure 11c) and form the micropine
dendrite structure as observed in Figure 1b.
Figure 9. X-ray diffractogram of specimen no. 2 with metal phase
grown at different voltages (a) 25 V, (b) 30 V, (c) 40 V.
Now the question is why the six 101h0 directions are the
directions of fastest growth? For electrochemical deposition, new
grains will grow if the size of the initial grain exceeds a critical
grain size (Nc). The critical dimension Nc for a 2D-like growth
is expressed as12
Figure 10. Schematic representation of the six crystallographically
equivalent directions of hcp Zinc.
bsꢀ2
(zeη)2
Nc )
(1)
branches are at 60° angles on both sides of the former. But in
the case of the stringy structure, the side branching totally
disappears. This implies that it does not get sufficient time for
the side branching due to very high growth rate and the growth
is confined only in the [101h0] direction.
where s, ꢀ, z, and b are the area occupied by one metallic atom
on the surface of the nucleus, the edge energy, the effective
electron number, and a constant, respectively.
η is the overpotential and is defined as
η ) E(I) - E0
(2)
This phenomenon was also observed during XRD investiga-
tion. The XRD patterns (Figure 9) show the phase structure
and crystal orientation of the Zn nanparticles. Parts a, b, and c
of Figure 9 are the XRD patterns of specimen no. 2 with growth
voltages 25, 30, and 40 V, respectively. Parts a and b of Figure
9 show that there are two Zn peaks in the XRD spectra, with
the highest at the (0002) crystal plane and another lower peak
at the (101h1). In Figure 9c there is only one peak, which
corresponds to the (0002) plane. By comparison of all these
figures, it is clear that the second peak is reduced with the
increase of growth voltage and completely disappears when the
growth rate is very high. This indicates that the (0002) planes
of zinc nanoparticles are highly oriented and parallel to the glass
substrate.10 From these results it can be concluded that there
exists a preferred growth direction,9 which is normal to the
(0002) crystal plane of the Zn nanoparticle arrays. By normal-
izing the peak areas to the peak intensities of a polycrystalline
bulk Zn standard,11 it is found that more than 95% of the Zn
nanoparticles in the arrays are oriented along a direction
perpendicular to the (0002) crystal plane.
where E(I) and E0 are the external current-induced potential
and the equilibrium potential of the electrode (potential in the
absence of the external current), respectively. From the equation
it is clear that in the present case for a particular growth voltage,
ꢀ is the only parameter, which can control the growth of a new
nucleus. This means the low-surface-energy grains grow faster
than do the high-energy grains. The rapid growth of the low-
surface-energy grains at the expense of the high-energy grains
results in an increase in grain size. So the low-surface-energy
facet appears more easily during the deposition. For Zn metal,
the {101h0} surfaces are the most densely packed, so the (101h0)
planes are the surfaces of lower energy than the (0002) planes.
Hence the (101h0) planes are the energetically most favorable
surfaces for hcp Zn and the formation of the {101h0} facets on
the Zn particle surface is expected more than the {0002} facets.
It is therefore believed that this anisotropy is the reason growth
takes place along the [101h0] direction. At the same time, the
formation of side branches dominated by the [011h0] and [11h00]
directions takes place. In case of a stringy pattern, the side
branching disappears due to very high growth in [101h0]
direction.
The formation of the dendrites could be explained by the
following representation. Metallic Zn has an hcp crystal
structure, which indicates that the (101h10) planes have six
equivalent directions (Figure 10). These directions are ([101h0],
( [11h00], and ( [011h0]. For spatial confinement, one of the
The above discussion indicates that the growth of zinc phase
is taking place in a two-dimensional space. To confirm this,