<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0872-1904</journal-id>
<journal-title><![CDATA[Portugaliae Electrochimica Acta]]></journal-title>
<abbrev-journal-title><![CDATA[Port. Electrochim. Acta]]></abbrev-journal-title>
<issn>0872-1904</issn>
<publisher>
<publisher-name><![CDATA[Sociedade Portuguesa de Electroquímica]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0872-19042012000300005</article-id>
<article-id pub-id-type="doi">10.4152/pea.201203203</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Corrosion Study of Electroless Ni-P-W Coatings Using Electrochemical Impedance Spectroscopy]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Roy]]></surname>
<given-names><![CDATA[Supriyo]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sahoo]]></surname>
<given-names><![CDATA[Prasanta]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Jadavpur University Department of Mechanical Engineering ]]></institution>
<addr-line><![CDATA[Kolkata ]]></addr-line>
<country>India</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>05</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>05</month>
<year>2012</year>
</pub-date>
<volume>30</volume>
<numero>3</numero>
<fpage>203</fpage>
<lpage>220</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_arttext&amp;pid=S0872-19042012000300005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_abstract&amp;pid=S0872-19042012000300005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_pdf&amp;pid=S0872-19042012000300005&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The present study investigates the significance of different coating process parameters on the corrosion behaviour of electrolessly deposited Ni-P-W coatings on mild steel substrate. The process parameters considered are concentration of nickel source, concentration of reducing agent, concentration of tungsten source and annealing temperature. The corrosion characteristic is evaluated by electrochemical impedance spectroscopy technique. The responses considered are charge transfer resistance and double layer capacitance. The Taguchi technique coupled with grey analysis is employed to find out the optimum combination of the process parameters for better corrosion resistance. Analysis of variance (ANOVA) reveals the contribution of the process parameters on the corrosion property of Ni-P-W coating. Finally a validation test is performed to justify the experimental result. The microstructure of the surface is studied by scanning electron microscopy (SEM); energy dispersive x-ray analysis (EDX) reveals the chemical composition and the x-ray diffraction analysis (XRD) is used to identify the phase transformation behaviour of the coating.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[electrochemical impedance spectroscopy]]></kwd>
<kwd lng="en"><![CDATA[corrosion]]></kwd>
<kwd lng="en"><![CDATA[Ni-P-W coating]]></kwd>
<kwd lng="en"><![CDATA[optimization]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ 

    <p><b>Corrosion Study of Electroless Ni-P-W Coatings Using Electrochemical Impedance Spectroscopy</b></p>

    <p><b>Supriyo Roy and Prasanta Sahoo<sup><a href="#0">*<a/></sup></b></p>

    <p><i> Department of Mechanical Engineering, Jadavpur University, Kolkata 700032, India</i></p>


<!--     <p>&nbsp;</p>
    <p>doi: 10.4152/pea.201203203</p> -->


    <p>&nbsp;</p>
    <p><b>Abstract</b></p>

    <p>The present study investigates the significance of different coating process parameters 
on the corrosion behaviour of electrolessly deposited Ni-P-W coatings on mild steel 
substrate. The process parameters considered are concentration of nickel source, 
concentration of reducing agent, concentration of tungsten source and annealing 
temperature. The corrosion characteristic is evaluated by electrochemical impedance 
spectroscopy technique. The responses considered are charge transfer resistance and 
double layer capacitance. The Taguchi technique coupled with grey analysis is 
employed to find out the optimum combination of the process parameters for better 
corrosion resistance. Analysis of variance (ANOVA) reveals the contribution of the 
process parameters on the corrosion property of Ni-P-W coating. Finally a validation 
test is performed to justify the experimental result. The microstructure of the surface is 
studied by scanning electron microscopy (SEM); energy dispersive x-ray analysis 
(EDX) reveals the chemical composition and the x-ray diffraction analysis (XRD) is 
used to identify the phase transformation behaviour of the coating.</p>

    <p><b><i>Keywords:</i></b> electrochemical impedance spectroscopy, corrosion, Ni-P-W coating, optimization.</p>


    ]]></body>
<body><![CDATA[<p>&nbsp;</p>
    <p><b>Introduction</b></p>

    <p>Different properties of the external surface of any engineering material, like 
corrosion resistance, hardness, etc., can be enhanced by coatings for a quite long 
period of time. The coating protects the substrate materials from the 
environmental hazards by creating a barrier between the material and the 
environment. Among all the coating processes, the electroless plating process is 
considered the most convenient one due to its simplicity and enhanced properties 
like improved friction, wear and anti-corrosion resistance. According to the 
classic corrosion theory, nanocrystalline materials should have very poor 
corrosion resistance because their huge quantity of grain boundaries, acting as 
the preferential corrosion paths, can accelerate corrosion by forming large 
number of micro electrochemical cells with the matrix. The basic hypophosphite 
reduced Ni-P and borohydride reduced Ni-B coatings have proved their 
supremacy in providing improved hardness, corrosion and wear resistance [1-5].</p>

    <p>The corrosion resistance of electroless Ni-P coatings is very much dependent on 
the phosphorous content of the coating. Electroless Ni-high P coating is effective 
in offering an excellent protection, whereas electroless Ni-low P and Ni-medium 
P coatings are not recommended for severe environments [6]. It is obvious that 
increase in coating porosity decreases the corrosion resistance of the coating. The 
important factor that affects the coating porosity and ultimates resistance to 
corrosion attack is surface roughness which is influenced by mechanical 
preparation of the surface and electroless nickel coating process procedure [7]. 
Advances in the chemical tailorability of composite coatings have lead to create 
long-lived, corrosion-resistant, composite coatings. Recently, much attention is 
being paid towards composite electroless nickel plating. The properties of 
composite electroless nickel coatings are often superior to those of basic Ni-P 
and Ni-B [2]. The functional composite coatings with specific characteristics 
such as wear, corrosion resistances and/or high hardness can be produced easily 
by choosing suitable particulate materials. The traditional electroless composite 
coatings have been prepared by adding micro-meter particles to an electroless 
bath such as SiC, BN, PTFE, diamond [8]. Bigdeli and Allahkaram [6] even 
found the corrosion resistance of Ni-P-SiC coating better than that of plain Ni-P 
coating. This effect they ascribed to a reduction in the effective metallic area 
available for corrosion in Ni-P-nano SiC coating. They also observed that heat-
treatment at 400 &deg;C for 1 h significantly improved the coating density and 
structure, giving rise to an enhanced corrosion resistance for the applied binary 
electroless nickel and electroless nickel composite coatings. Newly developed 
Ni-P alloy coatings have been recently reported by the introduction of a third 
element such as tungsten to form ternary Ni-P-W [9-12]. Published data showed 
that inclusion of tungsten in binary Ni-P deposit positively affects the deposition 
rate, composition and deposit properties such as hardness, thermal stability, wear, 
corrosion resistance and melting point [11]. Compared to electroless Ni-P 
coatings, incorporation of a third element into Ni-P based coating, for instance, 
electroless Ni-W-P coatings, significantly influence the thermal stability and 
crystallization behavior of the coatings by suppression of Ni3P nucleation [12]. 
Ni-W-P coatings also exhibit higher wear resistance [13]. However, the 
influence of addition of W on corrosion resistance has been reported by various 
researchers. Palaniappa and Seshadri [14] reported that improved corrosion 
resistance (non-deaerated condition) was found with increasing the W content in 
electroless Ni-P matrix. It was also reported that the corrosion behavior of the 
electroless Ni-P plating in 0.5 M H2SO4 solution was improved by addition of 
W, due to the formation of protective films of W oxides [15]. In addition, Gao et 
al. [16] reported a comparative study for electroless Ni-P and Ni-W-P coatings, 
when the coatings were heat-treated at 300 &deg;C and 350 &deg;C, respectively, to form a 
single-Ni nanocrystalline structure, the coatings presented different corrosion 
performances. The binary Ni-P nanostructure itself was harmful to the corrosion 
resistance. However, the addition of a third passivation element, W, significantly 
improved the corrosion resistance of the alloys due to the huge amount of grain 
boundary diffusion paths provided by the nanostructure, which favored the 
formation of the dense tungsten oxide film on the surface. It was found that the 
annealed ternary Ni-W-P alloys had corrosion resistance higher than their 
amorphous counterpart. Corrosion resistance of an electroless Ni-P-W coating is 
a function of its chemical composition and post deposition heat treatment. As 
corrosion is a deteriorating phenomenon so it is needed to optimize the chemical 
composition to have a better corrosive property.</p>

    <p>The studies of the corrosion behaviour of electroless nickel coating are mainly 
conducted through electrochemical tests viz. potentiodynamic polarization 
studies and electrochemical impedance spectroscopy. The resistance of the 
coatings towards corrosion is evaluated on the basis of the corrosion parameters 
obtained from these studies viz. corrosion potential, corrosion current density, 
charge transfer resistance, double layer capacitance, corrosion rate, etc. [17-19]. 
The electrochemical impedance spectroscopy (EIS) technique has proven to be a 
valuable test method for the electrochemical characterization of the protective 
coating on metals. This method provides very detailed data on the effectiveness 
of a coating over a relatively small area. The EIS technique can indicate the 
presence and rate of corrosion, and the moisture content of the coating prior to 
corrosion [20]. Thus, the EIS technique is chosen to characterize the corrosion 
behavior of the coatings in the present study. Taguchi method together with Grey 
relational analysis is employed to optimize the process parameters in order to 
identify the combination of parameters that induce the maximum corrosion 
resistant properties in the coating. Analysis of variance is employed to observe 
the contribution of the main design factors and their interactions. Finally, 
validation of the result obtained through the analysis is done with the help of 
confirmation test. The microstructure, chemical composition and phase 
transformation behaviour of Ni-P-W coatings are studied with the help of 
scanning electron microscopy, energy dispersed X-ray analysis and X-ray 
diffraction analysis, respectively.</p>


    <p><b><i>Taguchi design methodology</i></b></p>

    <p>Most of the engineering problems deal with the optimization of the design 
parameters to achieve the desired performance characteristics. The Taguchi 
technique is the most convenient method used by engineers to optimize any 
engineering problem. The Taguchi design technique consists of three consecutive 
stages such as system design, parameter design, and tolerance design. System 
design is the usage of scientific and engineering information required for 
producing a part. Parameter design is used to obtain the optimum levels of 
process parameters for developing the quality characteristics and to determine the 
product parameter values depending on the optimum process parameter values. 
Tolerance design is the stage to determine and to analyze tolerances about the 
optimum combinations suggested by parameter design. The aim of this study is 
to optimize the corrosion behaviour of chemically deposited Ni-P-W coating 
using grey based Taguchi method [21]. The concept of the Taguchi method is to 
optimize process parameters to achieve high quality with low cost. This 
technique is widely used in the engineering domain to get the desired 
performance characteristics by optimizing the design parameters. Taguchi 
recommends the use of the loss function to measure the quality characteristic. 
The value of the loss function is further transformed into a statistical measure 
called signal-to-noise (S/N) ratio. S/N ratio, being the ratio of mean to standard 
deviation, can effectively consider the variation encountered in a set of trials. A 
larger S/N ratio represents minimization of noise factor, thus a better quality 
characteristic and the corresponding process parameters are incentive to the 
variation of environmental conditions and other noise factors. Due to the 
increasing number of process parameters, a special design of orthogonal arrays 
(OA) is used in the Taguchi method to reduce large number of experiments that 
need to be carried out. Based on the objective of the experiment, S/N ratio 
characteristics can be divided on the basis of three criteria: lower-the-better (LB), 
higher-the better (HB) and nominal-the best (NB).</p>


    <p><b><i>Grey relational analysis</i></b></p>

    <p>The present study aims to evaluate the electrochemical characteristics of 
electroless Ni-P-W coating with the help of electrochemical impedance 
spectroscopy (EIS) considering two main response parameters viz. charge 
transfer resistance and double layer capacitance. The objective is to maximize the 
corrosion resistance. Thus it becomes a multi-response objective function 
optimization, which differs from the single response optimization. Grey 
relational analysis is one of the efficient tools, which can be employed for the 
overall evaluation of the S/N ratio to optimize the multiple response 
characteristics. Any system in nature is neither full of precise information (white) 
nor completely lack of information (black); mostly they consist of partial 
information (mixture of white and black called grey). The main objective of the 
grey theory is to supply sufficient information so that one can whiten the 
greyness. Grey relational analysis is based on the grey system theory and 
compares and computes the dynamic casualities of the subsystems of a given 
system. The first step in performing the grey relational generation is to 
normalized results of the experiments in the range between 0 and 1. Then the 
second step is to calculate the grey relational coefficient from the normalized 
data to represent the correlation between the desired and actual experimental 
data. Finally, the overall grey relational grade is computed by averaging the grey 
relational coefficient corresponding to each performance characteristics. 
Considering this grey relational grade the overall evaluation of the multiple 
response characteristics is done. A statistical analysis of variance (ANOVA) is 
performed to find the statistically significant parameters of the experiment. With 
the grey relational analysis and statistical analysis of variance, the optimal 
combination of the process parameters can be predicted. Finally, a confirmation 
experiment is conducted to verify the optimal process parameters obtained from 
the analysis.</p>


    <p>&nbsp;</p>
    ]]></body>
<body><![CDATA[<p><b>Experimental details</b></p>

    <p><b><i>Materials and coating method</i></b></p>

    <p>The Ni-P-W coating is deposited on mild steel (AISI 1040) specimen of size 20 
mm &times; 20 mm &times; 8 mm. Shaping, parting, milling processes are used accordingly 
for the preparation of the sample. The sample is then subjected to surface 
grinding process. The sample is mechanically cleaned from foreign matters and 
corrosion products. After that the MS sample is cleaned using distilled water 
followed by a pickling treatment with dilute (50%) hydrochloric acid for one 
minute to remove any surface layer formed like rust. Then the sample is rinsed in 
distilled water and methanol cleaning. A large number of trial experiments are 
performed before deciding the bath composition.</p>

    <p><a href="#t1">Table 1</a> indicates the bath composition and the operating conditions for 
successful coating of Ni-P-W on the mild steel substrate.</p>

    <p>&nbsp;</p>
<a name="t1">
<img src="/img/revistas/pea/v30n3/30n3a05t1.jpg">
    
<p>&nbsp;</p>

    <p>Nickel sulphate is used 
as the source of nickel, while sodium hypophosphite is the reducing agent which 
reduces the nickel into its elemental form while itself getting oxidized. Sodium 
tungstate solution is used as the source of tungsten ion. The bath is prepared by 
adding the constituents in appropriate sequence. The pH of the solution is 
maintained around 7-8 by continuous monitoring with a pH meter. The steps for 
obtaining the Ni-P-W deposit are as follows:</p>

    <p>&bull; the samples are cleaned using acetone followed by a pickling treatment using 
50% dilute hydrochloric acid;</p>

    <p>&bull; the substrates are then activated in palladium chloride solution at a 
temperature of 55 &deg;C;</p>

    <p>&bull; activated samples are then submerged into the chemical bath which is 
maintained at a temperature between 90-92 &deg;C with the help of a hot plate cum 
stirrer, attached with a temperature sensor which is also submerged in the solution;</p>

    ]]></body>
<body><![CDATA[<p>&bull; the deposition is carried out for a period of 3 hours;</p>

    <p>&bull; the range of coating thickness is found to lie around 25-30 microns;</p>

    <p>&bull; after deposition, the samples are taken out of the bath and cleaned using distilled water;</p>

    <p>&bull; after the coating the samples are heat treated at different temperatures (400 &deg;C, 
500 &deg;C and 600 &deg;C) according to the design of experiment.</p>


    <p><b><i>Selection of design parameters</i></b></p>

    <p>The design parameters are those factors which are varied within a specific range 
to obtain an optimum combination for desired result of the responses. The 
corrosion characteristics of electroless coating depend on various coating 
parameters like, nickel source concentration, reducing agent concentration, 
tungsten concentration, complexing agent, bath temperature, pH of the solution, 
substrate, etc. Considering all these parameters for the optimization of the 
corrosion characteristics make the design of the experiment and analysis more 
complicated. However, recent literature review revealed that there are three main 
coating parameters which can affect the corrosion resistance significantly; those 
are concentration of nickel source (A), concentration of reducing agent (B) and 
concentration of tungsten source (C). These three coating parameters are 
considered as main design parameters along with their interactions. Along with 
these three parameters, the annealing temperature (D) is considered as the fourth 
design parameter because the phase of the compound deposited depends on the 
post deposition heat treatment temperature. <a href="#t2">Table 2</a> shows the design factors 
along with their levels.</p>

    <p>&nbsp;</p>
<a name="t2">
<img src="/img/revistas/pea/v30n3/30n3a05t2.jpg">
    
<p>&nbsp;</p>

    <p>Three levels, having equal spacing, within the operating 
range of the parameters were selected for each of the factors. By selecting the 
three levels, the curvature or non-linearity effects could be studied.</p>


    <p><b><i>Response variables</i></b></p>

    ]]></body>
<body><![CDATA[<p>In the present article, corrosion behaviour of electroless Ni-P-W coatings is 
studied with the help of electrochemical impedance spectroscopy. Hence, the two 
popularly evaluated parameters, i.e., charge transfer resistance (R<sub>ct</sub>) and double 
layer capacitance (C<sub>dl</sub>), are considered as the response variables. A higher value 
of R<sub>ct</sub> and a lower value of C<sub>dl</sub> indicate that the material under test has a higher 
resistance against corrosion.</p>


    <p><b><i>Design of experiments</i></b></p>

    <p>The design of experiment of the present study includes an OA based on Taguchi 
method to reduce the number of experiments for the optimization of the coating 
process parameters for corrosion characteristics. An OA is the shortest possible 
matrix of combination of process parameters which includes the individual effect 
as well as the interactions simultaneously. The selection of OA plays a vital role 
to complete the experiment successfully. According to Taguchi philosophy the 
choice of the OA should be such that the total DOF of the OA must be greater 
than the total DOF of the experiment. For any 'p' level experiment the DOF of 
each factor is (p-1). For this three level experiment the DOF of all the four 
individual factors is 8 [4 &times; (3 - 1)], and for the three interactions the DOF is 12 
[3 &times; (3-1) &times; (3-1)]. So the total DOF required for this experiment is 20. Hence for 
the present investigation, an L<sub>27</sub> OA is chosen which has 27 rows corresponding 
to the number of tests and 26 degrees of freedom (DOFs) with 13 columns. The 
assignment of the factors and interactions to the columns of the array is done on 
the basis of the Triangular Table for 3-level OA [21] as suggested by Taguchi. 
The L<sub>27</sub> OA together with the column assignments are shown in <a href="#t3">Table 3</a>.</p>

    <p>&nbsp;</p>
<a name="t3">
<img src="/img/revistas/pea/v30n3/30n3a05t3.jpg">
    
<p>&nbsp;</p>

    <p>Each row in the table represents a specific combination of experimental run and each 
column represents a specific factor or interactions. The cell value indicates the 
level of the corresponding factor or interaction assigned to that column. 
However, the experimental run is controlled by the settings of the controllable 
design factors, i.e., A, B, C and D, and not by the interactions.</p>


    <p><b><i>Characterization and surface morphology</i></b></p>

    <p>Energy dispersive X-ray (EDX) analysis is done in conjunction with SEM to 
study the composition of the EN coatings in terms of the weight percentages of 
nickel, phosphorous and tungsten in the coatings before and after heat treatment 
at different temperatures. EDX is done in an EDX analyzer (EDAX Corporation). 
The surface morphology of the coating is observed through scanning electron 
microscope (SEM) (JEOL, JSM 6360) in order to analyze the effect of heat 
treatment on the microstructure of the deposits. The phase structures were 
studied by the X-ray diffractometer (Rigaku, Ultima III) both before and after 
heat treatment.</p>


    <p><b><i>Electrochemical impedance spectroscopy (EIS) test</i></b></p>

    <p>The EIS tests are performed with a potentiostat (Gill AC) of ACM Instruments, 
UK. A 3.5% sodium chloride solution is taken as the electrolyte and the tests are 
conducted at a constant ambient temperature of about 25 &deg;C. The electrochemical 
cell consists of three electrodes. The coated specimen forms the working 
electrode which is actually the sample being interrogated. A saturated calomel 
electrode (SCE) forms the reference electrode, which provides a stable reference 
against which the applied potential may be accurately measured. A platinum 
electrode serves as the counter electrode, which provides the path for the applied 
current into the solution. The design of the cell is such that only an area of 1 cm2 
of the coated surface is exposed to the electrolyte. A settling time of 15 min is 
assigned before every experiment in order to stabilize the open circuit potential 
(OCP). The potentiostat is controlled via a PC which also captures the EIS data. 
The applied frequency was varied from 10 KHz to 0.01 Hz and the Nyquist plots 
obtained from the tests in general exhibited a single semicircle in the high 
frequency region which is quite consistent to that observed by Sankara 
Narayanan et al. [18]. The electrical model that can be used to simulate this type 
of electrochemical behaviour is given in <a href="#f1">Fig. 1</a>.</p>


    ]]></body>
<body><![CDATA[<p>&nbsp;</p>
<a name="f1">
<img src="/img/revistas/pea/v30n3/30n3a05f1.jpg">
    
<p>&nbsp;</p>


    <p>The charge transfer resistance 
(R<sub>ct</sub>) is represented by the resistance of electron transfer during electrochemical 
reaction course. The double layer capacitance (C<sub>dl</sub>) can be correlated to the 
delamination of the coating. Solution resistance (Rs) is referred to the resistance 
between the work electrode and reference electrode. The values of charge 
transfer resistance (R<sub>ct</sub>) and double layer capacitance (C<sub>dl</sub>) were determined from 
the Nyquist plot by fitting a semicircle using the accompanying software.</p>


    <p>&nbsp;</p>
    <p><b>Results and discussion</b></p>

    <p><b><i>Characterization and morphology of the coating</i></b></p>

    <p>An X-ray diffraction (XRD) analyzer (Rigaku, Miniflex) is used for identification 
of compounds in the EN coatings both before and after heat treatment. <a href="#f2">Fig. 2</a> 
shows the XRD plots of as deposited and heat treated conditions.</p>


    <p>&nbsp;</p>
<a name="f2">
<img src="/img/revistas/pea/v30n3/30n3a05f2.jpg">
    
<p>&nbsp;</p>


    <p>From the figure it is evident that as deposited condition the phase is mostly amorphous but there 
exist a crystalline peak so it may be attributed that the coated surface has a 
mixture of amorphous and crystalline phase. After heat treatment, some of the 
peaks are broaden and produce crystalline phase. After heating at 500 &deg;C for 1 
hour the major peaks of Ni-W and Ni3P are obtained. Energy dispersive X-ray 
analysis (EDAX Corporation) is performed to determine the composition of the 
coating in terms of the weight percentages of nickel phosphorous and tungsten. 
<a href="#f3">Fig. 3</a> shows the EDX spectra of the coated surface.</p>


    ]]></body>
<body><![CDATA[<p>&nbsp;</p>
<a name="f3">
<img src="/img/revistas/pea/v30n3/30n3a05f3.jpg">
    
<p>&nbsp;</p>


    <p>The EDX analysis is done on 
the coatings developed from the bath consisting of different concentrations of 
sodium tungstate (tungsten ions) in order to capture the range of tungsten content 
in the coatings. It is found that the coating consists of 88% nickel, 8% 
phosphorous and 4% tungsten. <a href="#f4">Fig 4</a> shows the SEM micrograph of as deposited 
and heat treated (400 &deg;C, 500 &deg;C and 600 &deg;C) Ni-P-W coated surface.</p>


    <p>&nbsp;</p>
<a name="f4">
<img src="/img/revistas/pea/v30n3/30n3a05f4.jpg">
    
<p>&nbsp;</p>


    <p>It is clear that the deposit has globular like shape without any porosity in as deposited 
condition. When it is heat treated at 500 &deg;C the globules become more compact 
and produce a dense structure resulting harder deposit. With further heating at 
600 &deg;C the size of the globule increases and transforms into coarse grained 
structure.</p>


    <p><b><i>Grey analysis</i></b></p>

    <p>Grey analysis is a method which converts the multivariate problem into a single 
response problem. As the present investigation deals with two responses, viz., 
charge transfer resistance and double layer capacitance, grey analysis is 
employed to make it a single response. The experimental values of charge 
transfer resistance (R<sub>ct</sub>) and double layer capacitance (C<sub>dl</sub>) obtained from the EIS 
tests are given in <a href="#t4">Table 4</a>.</p>

    <p>&nbsp;</p>
<a name="t4">
<img src="/img/revistas/pea/v30n3/30n3a05t4.jpg">
    
<p>&nbsp;</p>

    ]]></body>
<body><![CDATA[<p>To convert the multiple responses into a single 
performance index called grey relational grade, the following steps have been performed.</p>

    <p>Step 1: Normalization of responses</p>
    <p>The first step for generating the grey relational coefficient involves the linear 
normalization of the experimental results (R<sub>ct</sub> and C<sub>dl</sub>) in the range between 0 and 
1. A material will have lower tendency to corrode if the R<sub>ct</sub> value tends to higher 
with a lower value of C<sub>dl</sub>. So higher the better criterion for R<sub>ct</sub> and lower the 
better criterion for C<sub>dl</sub> are used for normalization.</p>

    <p>Expression for higher the better:</p>

    <p>&nbsp;</p>
<a name="e1">
<img src="/img/revistas/pea/v30n3/30n3a05e1.jpg">
    
<p>&nbsp;</p>

    <p>Expression for lower the better:</p>

    <p>&nbsp;</p>
<a name="e2">
<img src="/img/revistas/pea/v30n3/30n3a05e2.jpg">
    
<p>&nbsp;</p>

    <p>where, x<sub>i</sub>(k) is the value after grey relational generation, while min y<sub>i</sub>(k) 
and max y<sub>i</sub>(k) are respectively the smallest and largest values of y<sub>i</sub>(k) 
for the kth response. The data after grey relational generation are shown in <a href="#t5">Table 5</a>.</p>

    ]]></body>
<body><![CDATA[<p>&nbsp;</p>
<a name="t5">
<img src="/img/revistas/pea/v30n3/30n3a05t5.jpg">
    
<p>&nbsp;</p>

    <p>Step 2: Generation of grey relational coefficient</p>
    <p>From the normalized value the grey relational coefficient is calculated by 
applying the equation</p>

    <p>&nbsp;</p>
<a name="e3">
<img src="/img/revistas/pea/v30n3/30n3a05e3.jpg">
    
<p>&nbsp;</p>

    <p>where, &Delta; = || x<sub>0</sub>(k) - x<sub>i</sub>(k) || is the difference of the absolute value between x<sub>0</sub>(k) 
and x<sub>i</sub>(k), &Delta;<sub>min</sub> and &Delta;<sub>max</sub> are respectively the minimum and maximum values of 
the absolute differences (&Delta;<sub>0i</sub>) of all comparing sequences. The grey relational 
coefficients are calculated for the experimental data using &xi; = 0.5. The values are shown in <a href="#t5">Table 5</a>.</p>

    <p>Step 3: Generation of grey relational grade</p>
    <p>The overall multiple response characteristics evaluation is based on grey 
relational grade which is calculated as follows:</p>

    <p>&nbsp;</p>
<a name="e4">
<img src="/img/revistas/pea/v30n3/30n3a05e4.jpg">
    
]]></body>
<body><![CDATA[<p>&nbsp;</p>

    <p>where, n is the number of process responses. Finally, the grades are considered 
for the optimization of multi-response parameter design problem. The value of 
grey relational grade and its order is shown in <a href="#t6">Table 6</a>.</p>

    <p>&nbsp;</p>
<a name="t6">
<img src="/img/revistas/pea/v30n3/30n3a05t6.jpg">
    
<p>&nbsp;</p>


    <p><b><i>Analysis of signal to noise (S/N) ratio</i></b></p>

    <p>Taguchi method uses S/N ratio to convert the experimental results into a value 
for the evaluation characteristic in the optimum parameter analysis. Where signal 
means desirable value (mean) and the noise is the undesirable value (S.D.). A 
larger S/N ratio represents a better quality characteristic because of the 
minimization of noise and the corresponding process parameters are incentive to 
the variation of environmental conditions and other noise factors. The variability 
can be easily captured if S/N ratio is used to convert the experimental results into 
a value for the evaluation characteristic in the optimum parameter analysis, 
instead of the mean. The idea is to maximize the S/N ratio, thereby minimizing 
the effect of random noise factors, which have a significant impact on the process 
performance. As the grey relational grade has to be maximized so higher the 
better criterion is used to calculate the S/N ratio, expressed as:</p>

    <p>&nbsp;</p>
<a name="e5">
<img src="/img/revistas/pea/v30n3/30n3a05e5.jpg">
    
<p>&nbsp;</p>

    <p>where y is the observed data and n is the number of observations. Since the 
experimental design is orthogonal, it is then possible to separate out the effect of 
each coating parameter at different levels. As an example, the mean grey 
relational grade for factor A at each level (1, 2 and 3) can be calculated by 
averaging the grey relational grades of the experiments 1-9 for level 1, 
experiments 10-18 for level 2 and experiments 19-27 for level 3, respectively. 
The mean grey relational grade for each level of the other factors can be 
computed in the similar manner. The mean grey relational grade for each level of 
the factors A-D is summarized and called the response table for mean grey 
relational grade (<a href="#t7">Table 7</a>). In addition, the total mean S/N ratio for the 27 
experiments is also calculated and listed in <a href="#t7">Table 7</a>.</p>

    <p>&nbsp;</p>
<a name="t7">
<img src="/img/revistas/pea/v30n3/30n3a05t7.jpg">
    
]]></body>
<body><![CDATA[<p>&nbsp;</p>

    <p>All the calculations are performed using Minitab [25].</p>

    <p>The response table shows the average of the selected characteristic for each level 
of the factors. The response table includes ranks based on Delta statistics, which 
compare the relative magnitude of effects. The Delta statistic is the highest 
average for each factor minus the lowest average for the same. Ranks are 
assigned based on Delta values; rank 1 is assigned to the highest Delta value, 
rank 2 to the second highest Delta value, and so on.</p>

    <p><a href="#f5">Fig. 5</a> and <a href="#f6">6</a> show the corresponding main effects and interaction effects plots 
between the process parameters respectively.</p>


    <p>&nbsp;</p>
<a name="f5">
<img src="/img/revistas/pea/v30n3/30n3a05f5.jpg">
    
<p>&nbsp;</p>
<a name="f6">
<img src="/img/revistas/pea/v30n3/30n3a05f6.jpg">
    
<p>&nbsp;</p>


    <p>In the main effects plot if the line 
for particular parameter is near horizontal, then the parameter has no significant 
effect. On the other hand, a parameter for which the line has the highest 
inclination will have the most significant effect. It is very much clear from the 
main effects plot that parameter C (concentration of tungsten source solution) is 
the most significant parameter, while parameter D (annealing temperature) also 
has some significant effect.</p>

    <p>So far as the interaction plots are concerned, estimating an interaction means 
determining the non-parallelism of parameter effects. Thus, if the lines on the 
interaction plots are non-parallel, interaction occurs, and if the lines cross, strong 
interactions occur between parameters. From <a href="#f6">Fig. 6</a> it can be seen that there is 
strong interaction between the parameters B and C. Thus, from the present 
analysis it is clear that the concentration of tungsten source solution (C) is the 
most significant parameter for corrosion characteristics of Ni-P-W coatings. The 
optimal process parameter combination that yields maximum mean S/N ratio is 
found to be A3B2C3D3.</p>


    <p><b><i>Analysis of variance (ANOVA)</i></b></p>

    ]]></body>
<body><![CDATA[<p>ANOVA is a statistical technique which can provide some important conclusions 
based on analysis of the experimental data. This method is very useful for 
revealing the level of significance of the influencing factor(s) or interaction of 
factors on a particular response. It separates the total variability of the response 
into contributions of each of the factors and the error. The Taguchi experimental 
method could not judge the effect of individual parameters on the entire process, 
thus the percentage of contribution using ANOVA is used to compensate for this 
effect. Results from ANOVA can determine very clearly the impact of each 
factor on the process results. Using Minitab [25] ANOVA is performed to 
determine which parameter and interaction significantly affect the performance 
characteristics. <a href="#t8">Table 8</a> shows the ANOVA result for electrochemical behaviour 
of EN coatings.</p>

    <p>&nbsp;</p>
<a name="t8">
<img src="/img/revistas/pea/v30n3/30n3a05t8.jpg">
    
<p>&nbsp;</p>

    <p>The ANOVA table shows the percentage contribution of each 
parameter. It is seen that parameter C, i.e., concentration of tungsten source 
solution and parameter D, i.e., annealing temperature, have the major 
contribution on electrochemical behaviour of Ni-P-W coating within the specific 
test range. Among the interactions, the interaction of parameters between B and 
C has significant contribution. This type of analysis is not available in the 
literature and will be useful for Ni-P-W coating deposition with an objective of 
optimum corrosion behaviour within the particular range of process parameters.</p>


    <p><b><i>Validation test</i></b></p>

    <p>After obtaining the optimal level of coating process parameters, the final step is 
to predict and verify the improvement of the performance characteristic using the 
optimal level of the process parameters. The estimated grey relational grade, &eta;&#770;,
using the optimal level of the process parameters can be calculated as:</p>

    <p>&nbsp;</p>
<a name="e6">
<img src="/img/revistas/pea/v30n3/30n3a05e6.jpg">
    
<p>&nbsp;</p>

    <p>where, &eta;<sub>m</sub> is the total mean grey relational grade, &eta;&#772; is the mean grey relational 
grade at the optimal process parameter level and o is the number of the main 
design process parameters that significantly affect the electrochemical 
characteristics of Ni-P-W coating. <a href="#t9">Table 9</a> shows the comparison of the 
estimated grey relational grade with the actual grey relational grade using the 
optimal parameters.</p>

    <p>&nbsp;</p>
<a name="t9">
<img src="/img/revistas/pea/v30n3/30n3a05t9.jpg">
    
]]></body>
<body><![CDATA[<p>&nbsp;</p>

    <p>The improvement of grey relational grade from initial to 
optimal condition is 0.318821, which is about 56% of the mean grey relational 
grade and is a significant improvement. The impedance plot for the coatings 
developed at initial condition and at optimal condition is shown in <a href="#f7">Fig. 7</a>.</p>


    <p>&nbsp;</p>
<a name="f7">
<img src="/img/revistas/pea/v30n3/30n3a05f7.jpg">
    
<p>&nbsp;</p>


    <p>It can be seen that both the plots exhibit a semicircular nature in the higher frequency 
region but the semicircles have different sizes. This indicates that the same 
corrosion phenomenon is occurring but over a larger area. Also their corrosion 
properties are different and enhanced with the annealing temperature above 500 
&deg;C for the optimum combination of coating parameters obtained from this 
analysis.</p>


    <p>&nbsp;</p>
    <p><b>Conclusion</b></p>

    <p>Ni-P-W alloy films are deposited on mild steel substrate from the electroless bath 
and the corrosion behaviour (electrochemical impedance spectroscopy) in 3.5% 
sodium chloride solution are studied. Here the Taguchi orthogonal array coupled 
with grey relational analysis is employed to optimize the coating process 
parameters for maximum corrosion resistance. The optimum parameter 
combination is found to be A3B2C3D3, i.e., nickel concentration 30 g/L, 
reducing agent concentration 17 g/L, tungsten concentration 25 g/L and 
annealing temperature 600 &deg;C. ANOVA result indicates that concentration of 
tungsten source (C) is the most important parameter that significantly affects the 
corrosion characteristics. Also, the interaction between the reducing agent and 
the tungsten source is significant. The improvement of the grey relational grade 
from the initial condition to the optimal condition is found to about 56%. From 
the EDX analysis it is clear that the coating is pure ternary and consists of nickel, 
phosphorous and tungsten. The XRD plots reveal that the coating is a mixture of 
amorphous and crystalline structure in the as deposited condition and produces 
Ni-W and Ni3P as major compounds after heat treatment at 500 &deg;C for 1 hour. 
From the surface morphology captured by SEM it is seen that there are many 
globular particles on the surface of the substrate with no surface damage.</p>


    <p>&nbsp;</p>
    <p><b>References</b></p>

    ]]></body>
<body><![CDATA[<!-- ref --><p>1. Narayanan TSNS, Krishnaveni K, Seshadri SK. Mater Chem Phys. 2003;82:771-779.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000133&pid=S0872-1904201200030000500001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>2. Sahoo P, Das SK. Mater Design. 2011;32:1760-1775.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000135&pid=S0872-1904201200030000500002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>3. Agarwala RC, Agarwala V, Sadhana. 2003;28:475-493.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000137&pid=S0872-1904201200030000500003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>4. Das SK, Sahoo P. Port Electrochim Acta. 2011;29:211-231.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000139&pid=S0872-1904201200030000500004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>5. Riedel W. Electroless nickel plating. Hertfordshire (UK): Stevenage, Finishing Publications Ltd; 1991.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000141&pid=S0872-1904201200030000500005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    ]]></body>
<body><![CDATA[<!-- ref --><p>6. Bigdeli F, Allahkaram SR. Mater Design. 2009;30:4450-4453.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000143&pid=S0872-1904201200030000500006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>7. Farzaneh A, Ehteshamzadeh M, Mohammadi M. J Appl Electrochem. 2011;41:19-27.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000145&pid=S0872-1904201200030000500007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>8. Hamdy AS, Shoeib MA, Hady H, Abdel Salam OF. Surf Coatings Tech. 2007;202:162-171.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000147&pid=S0872-1904201200030000500008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>9. Nash P. Phase diagrams of binary nickel alloys. ASM International; 1991.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000149&pid=S0872-1904201200030000500009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <p>10. Tsai Y, Wu FB, Chen Y, Peng P, Duh JG, Tsai S. Surf Coatings Tech. 2001;146-147:502-507.</p>
    <!-- ref --><p>11. Zhao Q, Liu Y, Muller-Steinhagen H, Liu G. Surf Coatings Tech. 2002;155:279-284.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000152&pid=S0872-1904201200030000500011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <p>12. Wu FB, Chen I, Peng P, Tsai Y, Duh JG. Surf Coatings Tech. 2002;150:232-238.</p>
    <!-- ref --><p>13. Palaniappa M, Seshadri SK. Wear. 2008;26:735-740.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000155&pid=S0872-1904201200030000500013&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <p>14. Liu H, Viejo F, Guo RX, Glenday S, Liu Z. Surf Coatings Tech. 2010;204:1549-1555.</p>
    <!-- ref --><p>15. Lu G, Zangari G. Electrochim Acta. 2002;47:2969-2979.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000158&pid=S0872-1904201200030000500015&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>16. Gao Y, Zheng ZJ, Zhu M, Luo CP. Mater Sci Eng A. 2004;381:98-103.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000160&pid=S0872-1904201200030000500016&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <p>17. Srinivasan KN, Meenakshi R, Santhi A, Thangavelu PR, John S. Surf Eng. 2010;26:153-158.</p>
    ]]></body>
<body><![CDATA[<!-- ref --><p>18. Narayanan TSNS, Seshadri SK. J Alloys Compounds. 2004;365:197-205.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000163&pid=S0872-1904201200030000500018&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>19. Dervos CT, Novakovic J, Vassiliou P. Mater Letters. 2004;58:619-623.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000165&pid=S0872-1904201200030000500019&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>20. Baskaran I, Narayanan TSNS, Stephen A. Trans Inst Metal Finishing. 2009;87:221-224.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000167&pid=S0872-1904201200030000500020&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>21. Roy RK. A primer on the Taguchi method. Dearborn: Mich, Society of Manufacturing Engineers; 1990.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000169&pid=S0872-1904201200030000500021&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref -->v
    <!-- ref --><p>22. Deng J. J Grey System. 1989;1:1-24.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000171&pid=S0872-1904201200030000500022&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    ]]></body>
<body><![CDATA[<!-- ref --><p>23. Mallory GO, Hadju JB. Electroless plating: fundamentals and applications. Orlando: AESF; 1991.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000173&pid=S0872-1904201200030000500023&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>24. Montgomery DC. Design and analysis of experiments. New York: Wiley; 2001.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000175&pid=S0872-1904201200030000500024&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>
    <!-- ref --><p>25. Minitab User Manual, Making data analysis easier. PA (USA): MINITAB Inc, State College; 2001.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000177&pid=S0872-1904201200030000500025&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></p>


    <p>&nbsp;</p>
    <p><a name=0><sup><a href="#top">*</sup></a>Corresponding author. E-mail address: <a href="mailto:psjume@gmail.com">psjume@gmail.com</a></p>

    <p>Received 23 July 2012; accepted 26 November 2012</p>

    <p><a href="http://www.peacta.org" target="_blank">www.peacta.org</a> </p>


    ]]></body>
<body><![CDATA[ ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Narayanan]]></surname>
<given-names><![CDATA[TSNS]]></given-names>
</name>
<name>
<surname><![CDATA[Krishnaveni]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
<name>
<surname><![CDATA[Seshadri]]></surname>
<given-names><![CDATA[SK]]></given-names>
</name>
</person-group>
<source><![CDATA[Mater Chem Phys]]></source>
<year>2003</year>
<volume>82</volume>
<page-range>771-779</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sahoo]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[Das]]></surname>
<given-names><![CDATA[SK]]></given-names>
</name>
</person-group>
<source><![CDATA[Mater Design]]></source>
<year>2011</year>
<volume>32</volume>
<page-range>1760-1775</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Agarwala]]></surname>
<given-names><![CDATA[RC]]></given-names>
</name>
<name>
<surname><![CDATA[Agarwala]]></surname>
<given-names><![CDATA[V]]></given-names>
</name>
</person-group>
<source><![CDATA[Sadhana]]></source>
<year>2003</year>
<volume>28</volume>
<page-range>475-493</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Das]]></surname>
<given-names><![CDATA[SK]]></given-names>
</name>
<name>
<surname><![CDATA[Sahoo]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<source><![CDATA[Port Electrochim Acta]]></source>
<year>2011</year>
<volume>29</volume>
<page-range>211-231</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Riedel]]></surname>
<given-names><![CDATA[W]]></given-names>
</name>
</person-group>
<source><![CDATA[Electroless nickel plating]]></source>
<year>1991</year>
<publisher-loc><![CDATA[Hertfordshire ]]></publisher-loc>
<publisher-name><![CDATA[Stevenage, Finishing Publications Ltd]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bigdeli]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
<name>
<surname><![CDATA[Allahkaram]]></surname>
<given-names><![CDATA[SR]]></given-names>
</name>
</person-group>
<source><![CDATA[Mater Design]]></source>
<year>2009</year>
<volume>30</volume>
<page-range>4450-4453</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Farzaneh]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Ehteshamzadeh]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Mohammadi]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<source><![CDATA[J Appl Electrochem]]></source>
<year>2011</year>
<volume>41</volume>
<page-range>19-27</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hamdy]]></surname>
<given-names><![CDATA[AS]]></given-names>
</name>
<name>
<surname><![CDATA[Shoeib]]></surname>
<given-names><![CDATA[MA]]></given-names>
</name>
<name>
<surname><![CDATA[Hady]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Abdel Salam]]></surname>
<given-names><![CDATA[OF]]></given-names>
</name>
</person-group>
<source><![CDATA[Surf Coatings Tech]]></source>
<year>2007</year>
<volume>202</volume>
<page-range>162-171</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nash]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<source><![CDATA[Phase diagrams of binary nickel alloys]]></source>
<year>1991</year>
<publisher-name><![CDATA[ASM International]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tsai]]></surname>
<given-names><![CDATA[Y]]></given-names>
</name>
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[FB]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[Y]]></given-names>
</name>
</person-group>
<source><![CDATA[Surf Coatings Tech]]></source>
<year>2001</year>
<volume>146-147</volume>
<page-range>502-507</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhao]]></surname>
<given-names><![CDATA[Q]]></given-names>
</name>
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[Y]]></given-names>
</name>
<name>
<surname><![CDATA[Muller-Steinhagen]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
</person-group>
<source><![CDATA[Surf Coatings Tech]]></source>
<year>2002</year>
<volume>155</volume>
<page-range>279-284</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[FB]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[I]]></given-names>
</name>
<name>
<surname><![CDATA[Peng]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<source><![CDATA[Surf Coatings Tech]]></source>
<year>2002</year>
<volume>150</volume>
<page-range>232-238</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Palaniappa]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Seshadri]]></surname>
<given-names><![CDATA[SK]]></given-names>
</name>
</person-group>
<source><![CDATA[Wear]]></source>
<year>2008</year>
<volume>26</volume>
<page-range>735-740</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
<name>
<surname><![CDATA[Viejo]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
<name>
<surname><![CDATA[Guo]]></surname>
<given-names><![CDATA[RX]]></given-names>
</name>
</person-group>
<source><![CDATA[Surf Coatings Tech]]></source>
<year>2010</year>
<volume>204</volume>
<page-range>1549-1555</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lu]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
<name>
<surname><![CDATA[Zangari]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
</person-group>
<source><![CDATA[Electrochim Acta]]></source>
<year>2002</year>
<volume>47</volume>
<page-range>2969-2979</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gao]]></surname>
<given-names><![CDATA[Y]]></given-names>
</name>
<name>
<surname><![CDATA[Zheng]]></surname>
<given-names><![CDATA[ZJ]]></given-names>
</name>
<name>
<surname><![CDATA[Zhu]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Luo]]></surname>
<given-names><![CDATA[CP]]></given-names>
</name>
</person-group>
<source><![CDATA[Mater Sci Eng A]]></source>
<year>2004</year>
<volume>381</volume>
<page-range>98-103</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Srinivasan]]></surname>
<given-names><![CDATA[KN]]></given-names>
</name>
<name>
<surname><![CDATA[Meenakshi]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
<name>
<surname><![CDATA[Santhi]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Surf Eng]]></source>
<year>2010</year>
<volume>26</volume>
<page-range>153-158</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Narayanan]]></surname>
<given-names><![CDATA[TSNS]]></given-names>
</name>
<name>
<surname><![CDATA[Seshadri]]></surname>
<given-names><![CDATA[SK]]></given-names>
</name>
</person-group>
<source><![CDATA[J Alloys Compounds]]></source>
<year>2004</year>
<volume>365</volume>
<page-range>197-205</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dervos]]></surname>
<given-names><![CDATA[CT]]></given-names>
</name>
<name>
<surname><![CDATA[Novakovic]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
<name>
<surname><![CDATA[Vassiliou]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<source><![CDATA[Mater Letters]]></source>
<year>2004</year>
<volume>58</volume>
<page-range>619-623</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Baskaran]]></surname>
<given-names><![CDATA[I]]></given-names>
</name>
<name>
<surname><![CDATA[Narayanan]]></surname>
<given-names><![CDATA[TSNS]]></given-names>
</name>
<name>
<surname><![CDATA[Stephen]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Trans Inst Metal Finishing]]></source>
<year>2009</year>
<volume>87</volume>
<page-range>221-224</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Roy]]></surname>
<given-names><![CDATA[RK]]></given-names>
</name>
</person-group>
<source><![CDATA[A primer on the Taguchi method]]></source>
<year>1990</year>
<publisher-loc><![CDATA[Dearborn^eMich Mich]]></publisher-loc>
<publisher-name><![CDATA[Society of Manufacturing Engineers]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Deng]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[J Grey System]]></source>
<year>1989</year>
<volume>1</volume>
<page-range>1-24</page-range></nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mallory]]></surname>
<given-names><![CDATA[GO]]></given-names>
</name>
<name>
<surname><![CDATA[Hadju]]></surname>
<given-names><![CDATA[JB]]></given-names>
</name>
</person-group>
<source><![CDATA[Electroless plating: fundamentals and applications]]></source>
<year>1991</year>
<publisher-loc><![CDATA[Orlando ]]></publisher-loc>
<publisher-name><![CDATA[AESF]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Montgomery]]></surname>
<given-names><![CDATA[DC]]></given-names>
</name>
</person-group>
<source><![CDATA[Design and analysis of experiments]]></source>
<year>2001</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="book">
<source><![CDATA[Minitab User Manual, Making data analysis easier]]></source>
<year>2001</year>
<publisher-loc><![CDATA[PA ]]></publisher-loc>
<publisher-name><![CDATA[State College]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
