ELECRODEPOSITION OF LUSTROUS ZINC COATINGS
rent density are shown in Fig. 4. It can be seen that,
1319
as the cathode current density increases, the degree
of luster of the coatings passes through a maximum,
whereas the degree of filling decreases. At the current
densities studied, the degree of surface filling varies
from 24 to 10%. This shows that lustrous coatings are
formed at a well-defined degree of surface filling.
To elucidate the mechanism by which the fixer af-
fects the electrodeposition of zinc, we carried out
a quantum-chemical study of a system constituted by
hydrated ions present in the electrolyte and fixer mol-
ecules. To find the degree of polymerization, n, of
the fixer molecule, its molecular weight was deter-
mined by the cryoscopic method. The results of these
measurements demonstrated that n = 1. Consequently,
the electrolyte also contains a monomeric product of
phenol-formaldehyde (F) condensation.
Fig. 4. Degree of luster B (1) and degree of the surface
filling Q (2) vs. the current density i .
c
The quantum-chemical calculation was performed
by the semiempirical PM3 method [11, 12]. Compared
with other semiempirical methods and ab initio cal-
culations with different basis sets [13], this method
describes rather well the parameters of intermolecular
interactions. The energy of interaction between the par-
ticles constituting the system under consideration was
calculated as the difference between the total elec-
tronic energy of the system and the sum of the total
electronic energies of its constituents. For example,
2
+
we calculated for the system Zn49 [ZnF] , first,
the energy of interaction between a complex-forming
ion and the ligand in the complex [ZnF]2 ion
2+
Fig. 5. Structure of a Zn complex with a monomeric
product of phenol-formaldehyde (F) condensation and
a water molecule, according to the results of a quantum-
chemical calculation Formaldehyde molecule: hydrogen
atoms, white; carbon, gray; and oxygen, dark gray.
+
Ec = E[ZnF]2+
(EZn2+ + E ),
F
+
[
Zn(OH)F] species is most likely in the near-cathode
and then the energy of interaction of the complex ion
with the cluster
layer. Less probable is the formation of [Zn(OH) F]
2
species.
Ecl = EZn49
[ZnF]2+
(E[ZnF]2+ + EZn49 ).
In the next stage, we carried out a quantum-chem-
ical study of the structure of complexes with formal-
dehyde molecules at the electrode solution interface.
In doing so, we modeled the surface of the zinc elec-
trode with a cluster formed by 49 atoms arranged in
two layers having the hexagonal form. The clusters
were chosen as recommended in [15].
The results of the calculation show that, similarly
to the case of 2-butyne-1,4 diol [14], the interaction of
Zn ions with the formaldehyde molecules is more
energetically favorable than the formation of a hy-
drated shell of the ion. In a sulfate zinc-plating elec-
trolyte, complex ions of composition [Zn(H O) (F) ] ,
where x = 1 5, y = 1 3, are most likely to exist in
2
+
2
+
2
x
y
To simulate the reduction of Zn2+ on the surface of
2
+
the zinc electrode, the zinc cluster system Zn49 Zn
F
the electrolyte bulk.
was calculated. It was shown that the highest interaction
+
In the near-cathode layer, mixed aqua hydroxo com-
plexes of various compositions with formaldehyde mol-
ecules can be formed via alkalization. In view of
the fact that formaldehyde molecules displace water
energy with the Zn49 cluster is observed for Zn(OH)
species. The formaldehyde molecules in the complex
constitute, as they approach the cluster, a stable system
at a distance of 418 pm from the cluster. In this case,
2
+
1
molecules from the Zn aqua complexes (Fig. 5),
the interaction energy is 437 kJ mol , which consider-
+
2+
the formation of Zn(OH) , Zn(OH) , and [ZnF]
ably exceeds the value for interaction of the cluster with
2
RUSSIAN JOURNAL OF APPLIED CHEMISTRY Vol. 80 No. 8 2007