Electrodeposition of Ni-Co-Fe-Zn alloys was done in a chloride ion solution with the presence and absence of a Permanent Parallel Magnetic Field (PPMF). The PPMF was applied parallel to the cathode surface. The deposition profile was monitored chronoamperometrically. It was found that the electrodeposition current was enhanced in the presence of PPMF (9 T) compared to without PPMF. The percentage of current enhancement (Γ%) was increased in the presence of PPMF, with results of Γ% = 11.9%, 16.7% and 18.5% at -1.1, -1.2 and -1.3 V respectively for a 2400 sec duration. In chronoamperometry, the Composition Reference Line (CRL) for Ni was around 57%, although the nobler metals (i.e. Ni, Co) showed anomalous behaviour in the presence of Zn and Fe. The anomalous behaviour of the Ni-Co-Fe-Zn electrodeposition was shown by the Energy Dispersive X-Ray (EDX) results. From Atomic Force Microscopy (AFM) measurements, it was found that the surface roughness of the Ni-Co-Fe-Zn alloy films decreased in the presence of a PPMF.
Alloy electrodeposition of two or more metals has been investigated to examine properties such as grain size, hardness, and corrosion resistance in relation to the parent metals. For example, the electrodeposition of Zn with iron group elements (i.e. Fe, Ni, Co) is applied mostly as finishing layers.
Brenner  has classified the alloy electrodeposition of Zn with the iron group elements. The main problem with alloy electrodeposition is the anomalous behavior exhibited during the electrodeposition process. For instance, the Zn-iron group alloys face the problem of anomalous behavior where the less noble metal (i. e. Zn) is preferentially deposited compared to the more noble metals in the order Ni > Co > Fe. Several theories have been developed [2-4] to explain this anomalous behavior. Dahm and Caroll  attribute the anomalous behavior to the Hydroxide Suppression Mechanism (HSM). Their theory suggests that the more noble ions are hindered from electrodeposition by formation of hydroxides of the less noble ions. This theory is further based on the solubility constant (Ksp) of M (OH)2 that the Ksp of Zn < Fe < Co < Ni.
Some investigators [6,7] have found that the pH value in the vicinity of the cathode was increased during alloy electrodeposition, while others [8-10] have disagreed with those results. Several investigators [7,8,11,12] have examined and explored this anomalous behavior by studying the pH, current density, potential range and temperature and its relevance to the anion concentration in the electrolyte. According to some, the electrodeposition rate of the more noble ions rise with the increase of pH of the electrolyte [6,13]. This anomalous behavior during electrodeposition diminishes with rising temperature . In addition to the use HSM theory to explanation above, some authors [8-10,14,15] found that the Under Potential Deposition (UPD) of less noble ions can also lead to the above anomalous electrodeposition. At low potential, normal co-deposition takes place, whereas with increasing potential, anomalous co-deposition occurs . The anions present also affect the pattern of UPD. For instance increasing the concentration of Γ in the zinc electrolyte the peak of the Zn electrodeposition curve shifts to a more negative value in the voltammogram, whereas with increasing PO43- shifts the peak in the positive direction along the potential axis .
Mass transport in the electrodeposition of ions on the electrode surface can be controlled through diffusion, ionic migration and convection (natural and forced). When a Permanent Parallel Magnetic Field (PPMF) is applied parallel to the cathode surface, additional forces such as the Paramagnetic Force (), Field Gradient Force (), Lorentz Force (), Electrokinetic Force () and the Magnetic Damping Force () increase of rate of transport of ions to the electrode surface, thus increasing the mass transport current of the electrode reaction. This effect is also known as the Magneto-Hydrodynamic (MHD) which is largely the result of the Lorentz force .
The interaction of the magnetic field aligned parallel to the cathode surface with the current flow to the cathode surface results in the Lorentz Force (). According Hinds et. al., the Lorentz force (), has the largest contribution among all the of forces present in the MHD effect towards the mass transport increase. The influence of magnetic field on the motion of ions and the thickness reduction of the diffusion layer is schematically depicted in Fig. 1.
Figure 1. Schematic illustration of the mechanism of enhanced mass transport of charged electroactive species under an applied magnetic field. where the Cel is the surface concentration of electroactive spesies, C' the bulk concentration, B the magnetic flux, J the direction of electrical curent, U0 the natral convection, δD and δ0 the boundry layer thickness in the presence and absence of a magnetic field, respectively.
It is observed that the normal diffusion layer thickness δ0 could be diminished to a narrow layer of δD, when the magnetic flux B was aligned parallel to the cathode surface.
Therefore the MHD effect, (largely caused by the Lorentz Force) reduces the diffusion layer thickness, thus increasing the mass transport to the electrode surface. This work examines and characterizes the electrodeposition of Ni-Co-Fe-Zn alloys with the presence and absence of a PPMF to the cathode surface.
All experiments were carried out in aqueous electrolyte. Copper plates (0.01 × 1 × 1 cm) were used as working electrodes. Each was electrochemically polished and activated by immersion into mixed acids (HCl 30% - H2SO4 10% - HNO3 5% - CrO3 3%) for a few seconds and then rinsed with double distilled water. The chloride plating solution for the Ni-Co-Fe-Zn alloys electrodeposition via chronoamperometry contained: NiCl2.6H2O 1 M, CoCl2.6H2O 0.25 M, FeCl2.4H2O 0.25 M, ZnCl2 0.25 M, and H3BO3 0.5 M in the Teflon (4 × 8 × 12 cm). The electrolyte was free from additives such as levellers and brighteners. The electrolyte was kept at room temperature and the pH was adjusted to 4 ± 0.1 with hydrochloric acid. In addition, solutions for cyclic-voltammetery experiments were prepared from 0.01 M each of Ni2+, Co2+, Fe2+, Zn2+ ions. The CV and electrodeposition via chronoamperometry was done using Princeton Applied Research (PAR) Versa-Stat3 instrument in the absence and presence of the Permanent Parallel Magnetic Field (PPMF) of 9 Tesla. All experiments were conducted at temperature 30-32°C. The Saturated Calomel Electrode (SCE) and platinum wire were the reference and counter electrodes respectively. The topography of the deposited layers was investigated via Atomic Force Microscopy (AFM PS 3000-NS3a). The mass of electrodeposition was determined by the mass difference of the bare and coated Cu plates. Scanning Electron Microscopy (SEM-FEI Quanta 200F) was used to capture images of the surface morphology of the electrodeposited samples and it included the Energy Dispersive X-Ray (EDX) analysis using Energy Dispersive System INCA energy 400.
Results and Discussion
Voltammetery and Chronoamperometry
Fig. 2 shows the voltammograms of the Ni, Co, Fe, Zn, Ni-Co, Ni-Co-Fe, Ni-Co-Zn and Ni-Co-Fe-Zn in the presence and the absence a PPMF (9 T). The concentration of each ions in the solutions was 0.01 M. Fig. 2A-2D shows that the potential of electro-reduction decrease in the order Co2+ > Ni2+ > Fe2+ > Zn2+ to more negative potentials, where the standard potentials are given as -0.28 V, -0.23 V, -0.44 V and -0.76 V respectively. The influence of a magnetic field applied parallel to the cathode surface is shown in Fig. 2A - 2H. The potential of the electro-reduction of the ions did not change with and without the PPMF, but the current increased a little with the application of PPMF. From the Navier-Stokes equation, it can be seen that :
where jl is limiting current, ν the viscosity of the solution, C the bulk concentration of electroactive species, B the strength of a magnetic field, D the diffusion constant, A the electrode surface area and n the number of electrons involved in the electron transfer step.
Figure 2. Voltammograms of; A) Ni2+; B) Co2+; C) Fe2+; D) Zn2+; E) Ni2+, Co2+; F) Ni2+, Co2+, Fe2+; G) Ni2+, Co2+, Zn2+; H) Ni2+, Co2+, Fe2+, Zn2+; from aqueous solution, with scan rate of 10 mV s-1 with the presence (solid line) and absence (dash line) of PPMF (9 T). When SCE and platinum wire were chosen as a reference and counter electrodes respectively. Concentration of each ions in solutions was 0.01 M.
Figures 2C and 2F and Figures 2D and 2H confirms the theory of UPD where the electrodeposition of a less noble element shifts to more positive potentials for alloy electrodeposition compared to the electrodeposition of pure elements (i.e. Zn, Fe). Figure 2C shows the electro-reduction of Fe2+ occurring at a peak of -1.10 V, and Fig. 2F shows a peak at -1.00 V for the Ni-Co-Fe alloy electrodeposition. Fig. 2D also shows the peak for Zn2+ electro-reduction occurring at -1.30 V, while Fig. 2H shows a wave at -1.20 V for the Ni-Co-Fe-Zn electrodeposition. This confirms Eq. 1, where an increase of the electro-reduction current in the voltammograms for the Ni-Co-Fe-Zn alloy has taken place in the presence of a PPMF compared to without the PPMF.
Electrodeposition of Ni-Co-Fe-Zn alloy layers were perform at chronoamperometric at various potentials (-1.10, -1.20 and -1.30 V) with and without the PPMF (9 T). Fig. 3 shows that the value of the limiting current |jl| is enhanced when the PPMF was applied. The increase in the limiting current is because of the magnetic-hydrodynamic (MHD) effect during the electrodeposition process. The electrodeposition mass also increased with the presence of the PPMF. The chronoamperogram in Fig. 3 illustrates the difference in current value (ΔI) with and without the PPMF (9 T), where ΔI increases with the applied potential where: ΔI for -1.3 V > ΔI for -1.2 V > ΔI for -1.1 V. It is deduced that the Lorentz force () is larger with the increase of the current density due to the greater interaction between the electrical current and the magnetic flux (), and this increases the ΔI. The current increased from: 6.7 to 7.5, 18 to 20 and 27 to 32 mA at potentials -1.1 V, -1.2 V and -1.3 V respectively, for 2400 seconds duration, in the marked points (¤) in Fig. 3. The enhancement of the limiting current was calculated at the marked points as :
where ΔI is the current difference obtained with the presence and the absence of PPMF (9T) and Ii is the current in the absence of PPMF. The percentage enhancement current (Γ%) was calculated as (Γ% = 11.9%, 16.7% and 18.5%) at -1.1, -1.2 and -1.3 V respectively, for duration of 2400 seconds.
Figure 3. Chronoamperometry Ni-Co-Fe-Zn alloy electrodeposition potentials of -1.1 V, -1.2 V and -1.3 V/SCE in the presence and absence of a PPMF (9 T).
Figure 4 depicts the massogram of the Ni-Co-Fe-Zn alloy electrodeposited layers calculated from the mass difference between the bare and coated Cu plates. The mass of electrodeposition increases with the increase of potential from -1.10 to -1.30 V. This phenomenon can be explained from the increase of the limiting current due to the decrease of diffusion layer thickness in the presence of PPMF [20,21]. As mentioned previously, it was shown that the mass electrodeposition quantity can be increased with the presence of the PPMF and the difference between mass deposition of alloys with and without a PPMF increases with more negative potential. Leventis et. al.  and Aboubi et. al.  have proven that the limiting current (il) is proportional to the magnetic flux B1/3, as given in Eq. 1. Also, the relationship between the magnetic flux and mass increase due to decrease of the Nernst diffusion layer can be given as [22,23]:
where ρ is the solution density, ν the viscosity of solution, D the diffusion coefficient, n the number of electrons per molecule, C the bulk concentration of electroactive species, β the magnetic flux, R and F are the electrode radius and the Faraday constants respectively.
Figure 4. Mass of electrodeposition of Ni-Co-Fe-Zn alloys in the presence and absence of a PPMF when the SCE electrode was utilized.
Fig. 4 depicts the mass electrodeposition under various current densities in the presence and absence of the PPMF, which also can be confirmed by Eq. 3. The mass of the Ni-Co-Fe-Zn alloy electrodeposited layers were calculated from difference in mass before and after electrodeposition on the copper plates. Our previous results [24,25] have also shown that the mass of the electrodeposited layers was greater with the PPMF than without. Furthermore as given in a previous section, the difference between of mass of electrodeposition in the presence and absence of the PPMF increases with the increase in the current. As the current increases, the Magneto-Hydrodynamic (MHD) effect becomes more pronounced due to the increase of Lorentz Force, where Δ m = 0.03 to 0.107 mg cm min-1 from Fig. 4.
The surface morphology of the Ni-Co-Fe-Zn electrodeposited films obtained from the chloride bath was investigated via Scanning Electron Microscopy (SEM). The SEM images 5 (A, C) and 5 (B, D) are films obtained at -1.10 V and -1.30 V respectively (Fig. 5). The right images 5C and 5D are layers electrodeposited with the presence of PPMF (9 T) while 5A and 5B were obtained from electrodeposits without PPMF. Several researchers [26,27] have found that the magnetic field affects the morphology of the deposits. The morphology of the Ni-Co-Fe-Zn alloy shows nodular shape (with PPMF) for 5C compared to 5A with polyhedral grains where both of them were deposited at -1.10 V. The SEM micrographs are accompanied by EDX graphs which indicate that all of them contain Ni, Co, Fe and Zn elements. The elemental composition of the galvanostatically deposited alloys was determined by EDX, illustrated in Fig. 6. It was found that the content of Ni in the electrodeposited layers is always lower than the composition reference line (CRL) due to the anomalous behaviour already discussed. The CRL of Ni is defined as ;
where c is the concentration of each ion (e. g. c(Ni) is the concentration of Ni2+ in the electrolyte). According to the EDX results the %wt Zn decreases with the increase of the current density due to the increase in applied potential. As shown in Fig. 6, referring to CRL, the anomalous behaviour is confirmed, particularly in the less noble element Zn.
Figure 5. SEM micrographs (magnification 1000×) of Ni-Co-Fe-Zn alloy electrodeposited without PPMF: A) -1.1 V, B) -1.3 V, and with PPMF (9 T): C) -1.1 V, D) -1.3 V/SCE. Inset are the EDX spectrums.
Figure 6. EDX results of the percentages of elements in Ni-Co-Fe-Zn alloys electrodeposited at potentials of -1.1 V and -1.3 V/SCE with the absence and presence of PPMF, together with the total percentages of the elements in all four electrodeposited alloys. The CRL line of Ni is 57%.
Notably, the lowest elemental content of the alloys belonged to Fe, where the chemical oxidation of Fe2+ to the more stable Fe3+ takes place in the solution. Some authors reported  that the co-electrodeposition of alloys with Fe2+ can take place by using citric acid or iron powder in the solution to avoid the precipitation of Fe (OH)3. In this work, the solution was free of any chelating reagent to prevent the oxidation of Fe2+ to Fe3+ leading to the lowest elemental content being Fe for the deposited layers. It is also noteworthy that the %wt Co increases due to the increase of the applied potential and the applied PPMF compared to Ni because of the anomalous behaviour in Co electrodeposition.
Atomic force microscopy (AFM) was used to examine the surface roughness (RMS) of the Ni-Co-Fe-Zn alloys. Fig. 7 shows the 3D AFM images of the Ni-Co-Fe-Zn layers performed with and without PPMF (9 T). The 3D AFM images were prepared from a scanning surface of 5 × 5 μm. The image layers 7A and 7C were obtained at -1.10 V potential from the electrodeposition bath. The image layers 7B and 7D were produced for the Ni-Co-Fe-Zn alloys at -1.30 V potential from mixed metal ions in the electrodeposition solution. The 3D AFM images of alloy electrodeposited layers in the presence of a PPMF are on the right column (7C and 7D), and the 3D images of layers belonging to films that are fabricated without the magnetic field are on the left (7A and 7B). These images show that the rough surfaces are reduced for the layers electrodeposited with the presence of PPMF at the same operating condition. At the applied voltage of -1.1 V, the roughness factor was reduced from 48.5 nm (7A; without PPMF) to 23 nm (7C; with PPMF). Furthermore, at the applied voltage of -1.30 V, the roughness factor was reduced from 112 nm (7B; without PPMF) to 39 nm (7D; with PPMF). Fahidy  has investigated the influence of a PPMF on the dendrites and branches of an electrodepositional surface, but the smoothness effect of an applied magnetic field on electrodeposition surface is still unclear.
Figure 7. AFM images of Ni-Co-Fe-Zn alloy surface electrodeposited in the absence of PPMF: A) -1.1 V/SCE, B) -1.3 V/SCE, and with PPMF (9 T): C) -1.1 V/SCE, D) -1.3 V/SCE. Layer obtained at: -1.1 V/SCE
Nikolic et. al.  suggested that an effective potential operates at dendrite formation causes a decrease of surface roughness with the presence of a magnetic field during electrodeposition. According to them, dendritic growth is suppressed with the increase in magnetic flux (B). They stated that the effective potential was reduced with application of a magnetic field at the end of the dendrites and effective potential Ueff is given by:
in the absence of the magnetic field and
in the presence of the magnetic field,
where Ueff and Uc are effective and applied cathodic potentials, respectively, I is the deposition current and R is the resistance of dendrites (filaments) with l height. Subsequently, effective potential at the end of the dendrites was reduced with increasing magnetic flux (B). Eventually, the valley space of the electrodepositing surface will be filled with the depositing charged particles, and therefore a smoother surface results from the magneto-electrodeposition process.
The influence of the magnetic field (9 T) oriented parallel to the cathode surface for the electrodeposition of Ni-Co-Fe-Zn alloys was studied at room temperature. The PPMF influence the electrochemical reaction by decreasing the double layer thickness and thus the current density and the mass deposition were increased. The increase of current was shown in the voltammograms in the presence of the PPMF (9T). The electrodeposition using chronoamperometry occurred at potentials -1.1, -1.2 and -1.3 V for duration 2400 sec with and without PPMF (9T). The increase in electrodeposition potential to more negative values correlated with the increase of the percentage of current enhancement (Γ%) with values 11.9%, 16.7% and 18.5% at -1.10, -1.20 and -1.30 V respectively, for 2400 sec, with the presence of PPMF. The surface roughness of the electrodeposited alloys was reduced with the presence of PPMF from 48.5 nm (Fig. 7A; without PPMF) to 23 nm (Fig. 7C; with PPMF) at -1.1 V depositional potential. Furthermore, for deposition at potential -1.3 V, the roughness factor was reduced from 112 nm (7B; without PPMF) to 39 nm (7D; with PPMF).
The abbreviations used in this paper are AFM: Atomic force microscopy; CRL: Composition Reference Line; EDX: Energy Dispersive X-Ray; HSM: Hydroxide Suppression Mechanism; Ksp: solubility constant; : Paramagnetic Force; : Field Gradient Force; : Lorentz Force; : Magnetic Damping Force; : Electrokinetic Force; MHD: Magneto-Hydrodynamic; PPMF: Permanent Parallel Magnetic Field; SEM: Scanning Electron Microscopy and UPD: Under Potential Deposition.
The authors declare that they have no competing interests.
ME completed the laboratory work, data treatment and drafted the manuscript. YA and MRM data analysis. WJB coordinated the study, data analysis and edited the text. All authors have read and approved the final manuscript.
We would like to thank the University of Malaya for the financial support provided by university research grant PS 388/2008C, UMCiL grant (TA009/2008A) and (TA007/2009A). One of the authors (M. Ebadi) acknowledges the University of Malaya for his fellowship. Discussion with C. G. Jesudason is also acknowledged.
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