Simultaneous metal determination in artisanal cachaça by using voltammetry and multivariate calibration

Simultaneous metal determination in artisanal cachaça by using voltammetry and multivariate calibration

Journal Pre-proofs Simultaneous metal determination in artisanal cachaça by using voltammetry and multivariate calibration Romário Junior Ferreira, Th...

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Journal Pre-proofs Simultaneous metal determination in artisanal cachaça by using voltammetry and multivariate calibration Romário Junior Ferreira, Thalles Ramon Rosa, Josimar Ribeiro, Rosângela Cristina Barthus PII: DOI: Reference:

S0308-8146(19)32278-2 https://doi.org/10.1016/j.foodchem.2019.126126 FOCH 126126

To appear in:

Food Chemistry

Received Date: Revised Date: Accepted Date:

4 February 2019 13 December 2019 24 December 2019

Please cite this article as: Ferreira, R.J., Rosa, T.R., Ribeiro, J., Barthus, R.C., Simultaneous metal determination in artisanal cachaça by using voltammetry and multivariate calibration, Food Chemistry (2019), doi: https://doi.org/ 10.1016/j.foodchem.2019.126126

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1

Simultaneous metal determination in artisanal cachaça by using voltammetry and

2

multivariate calibration.

3 4 5 6

Romário Junior Ferreiraa, Thalles Ramon Rosab, Josimar Ribeiroa, Rosângela

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Cristina Barthusa.

8

a

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Espírito Santo, Vitória-ES, Brazil.

Departamento de Química, Centro de Ciências Exatas, Universidade Federal do

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b

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Brazil.

Instituto Federal de Educação, Ciência e Tecnologia do Espírito Santo, Aracruz - ES,

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Corresponding Author:

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Rosângela Cristina Barthus

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Av. Fernando Ferrari, 514, Goiabeiras, Vitória, Espírito Santo, Brazil.

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29075-910, E-mail address: [email protected]

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Phone Number: (++55 27) 4009-2846

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Abstract

27 28

In this study, square wave anodic stripping voltammetry using two different types of

29

electrodes (carbon nanotube electrode and graphite electrode) was combined with

30

chemometric methods - partial least squares (PLS) and artificial neural networks (ANN)

31

for determining copper, zinc, cadmium and lead in cachaça. The objectives were

32

comparison of methods developed and the verification of the quality of artisanal

33

cachaças in terms of metal content. For the development of the methodology,

34

inductively coupled plasma optical emission spectrometry (ICP OES) was used as

35

reference technique. The performance of multivariate models obtained was evaluated by

36

the coefficient of determination (R2) and root mean square error of prediction (RMSEP).

37

F test was utilized for comparing methods at confidence level of 95%. Better results

38

were observed by using carbon nanotube electrode regardless of the multivariate

39

method proposed. The methodology is simple, fast, and inexpensive and it can be used

40

in quality control laboratories.

41 42

Keywords: Cachaça, partial least square, artificial neural network, carbon nanotube

43

electrode, square wave anodic stripping voltammetry, metals.

44 45 46 47 48 49 50

51

1. Introduction

52

Developing faster and more sensitive analytical methods for the determination of metals

53

is extremely important due to the increasing demand for analyses of these elements in

54

order to ensure part of the quality criteria of products such as foods and beverages. In

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this setting, this study aims to develop and compare metal determination methods in

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cachaça and, in this context, verify the quality of artisanal cachaças based on these

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contents. At first, copper, zinc, cadmium and lead were studied. Copper and zinc are

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metals essential to the body, in a very specific concentration range, but they can become

59

dangerous beyond these amounts. On the other hand, lead and cadmium metals have a

60

high toxicity potential. They are non-essential and should therefore be kept within the

61

tolerable limits. Several studies characterize the performance of these metals in terms of

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their interactions and/or toxicity. [Afridi et al., 2014; Simmons et al., 2003, Page et al.,

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2015, Duarte et al., 2000; Oliveira et al., 2015].

64

In this aspect, the determination of these metals in cachaça – a drink obtained by

65

distilling fermented sugarcane [Brazil, 2005] – can allow the consumer to have adequate

66

levels of these elements and thus a safe consumption [Aresta et al., 2001; Miranda et al.,

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2010; Fernandes et al., 2013]. Metal levels may vary depending on the mode of

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production: whether artisanal or industrial, and also on the preparation and planting of

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sugarcane. In another aspect, they have also influence in organoleptic criteria such as

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odor and taste of the beverage [Azevedo et al., 2003].

71

Among the most commonly used techniques for determining metals in beverages are:

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Atomic absorption spectrometry, X-ray fluorescence spectrometry and Inductively

73

coupled plasma optical emission spectrometry (ICP-OES) [Bermejo-Barrera et al.,

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2007, Fernandes et al., 2013]. However, the disadvantages are the relatively expensive

75

cost of these techniques and generally the necessity of complex sample preparations

76

[Oliveira et al., 2015]. In this way, voltammetric techniques have been evaluated.

77

Among voltammetric techniques, anodic stripping voltammetry [Tyszczuk et al., 2007]

78

has been increasingly relevant mainly because, in many cases, it is not necessary to

79

pretreat the samples, it is a non-destructive technique, and it allows rapid analysis and

80

low detection limit. For metals, the mercury electrode has been widely employed for

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these determinations. Nowadays, however, alternatives have been studied, due to

82

environmental concerns with the use of mercury [Lee et al., 2016, Yue et al., 2012].

83

Therefore, the use of electrodes formed by nanomaterials represents an alternative.

84

[Merkoçi, 2007, Keyvanfard et al., 2013]. These materials have a large surface area,

85

which improves mass transport and electron transfer. Specifically, nanostructured

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carbon materials, such as those of nanotubes used here, associate these characteristics to

87

those of carbon that act as absorbing agents and pre-concentrators on the surface. The

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electrode formed by carbon nanomaterials has already been used for metal

89

determination in cachaça, which demonstrated its application potential [Tavares et al.,

90

2012]. However, a fact to be taken into account is that the simultaneous determination

91

of several metals is complex because in most cases, there is an overlap of some peaks

92

that undergo reduction or oxidation in near potentials [Alagic et al., 2017, Gonzalez-

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Calabui et al., 2016]. Then, despite the numerous advantages, the electrochemical

94

techniques suffer from lack of selectivity.

95

association of multivariate calibration methods and electrochemical techniques has

96

become important. This can be found in the recent literature where manuscripts report

97

this type of association while determining analytes in the most diverse types of

98

matrices, with emphasis on the pharmaceutical and environmental samples. [Melucci et

To overcome such difficulties, the

99

al., 2012; Alagic et al., 2017; Alves et al., 2011; Gonzales-Calabui et al., 2016,

100

Keyvanfard et al., 2013].

101

This study focuses on the development of a methodology for the determination of

102

metals in artisanal cachaça. The methods involve the association of chemometric

103

methods and square wave anodic stripping voltammetry for these determinations. This

104

study aims to compare the different types of electrodes (graphite and carbon nanotube

105

electrodes) used, as well as the proposed multivariate methods (partial least square –

106

PLS and artificial neural network - ANN). Ultimately, the study also aims to verify the

107

quality of the artisanal samples in terms of metal content.

108 109

2. Experimental procedures

110

2.1. Reagents and solutions

111

Nitric acid P.A was obtained from Neon® and distilled. All the other reagents used

112

were of analytical grade and used without prior purification. Diethyl alcohol, graphite

113

powder, carbon nanotube were purchased from Sigma Aldrich®. Sodium dihydrogen

114

phosphate or sodium phosphate and phosphoric acid obtained from Merck® were used

115

to prepare 1.00 mol L-1 buffer solution pH 4.0. Ultrapure water (resistivity of 18 mΩ -

116

cm 25°C), used in all experiments, was obtained from a reverse osmosis purification

117

system (Quimis®).

118

2.2. Samples

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For the accomplishment of the experiments, we employed samples of artisanal cachaça

120

coming from several municipalities in the State of Espírito Santo: Domingos Martins,

121

São Roque de Canaã, Aracruz, Afonso Cláudio, Linhares, Cachoeiro do Itapemirim,

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Alfredo Chaves, Anchieta, Cariacica, Santa Tereza, Vargem Alta, Serra, São Gabriel da

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Palha and Castelo. A total of 90 samples were analyzed. These samples were acquired

124

exclusively in commercial establishments and they come from different manufacturers.

125 126

2.3. Procedure for the analysis of cachaça samples using the reference method

127

(ICP OES).

128

2.3.1. Preparation of the sample for analysis in ICP OES.

129

All the materials were washed with detergent and decontaminated in a vessel containing

130

5% nitric acid solution for 24 hours. For the determination of the metals in cachaça, the

131

volume of the cachaça samples was reduced by 50%. After that, 25.00 mL of the

132

sample obtained was acidified with 0.015 mol L-1 nitric acid solution, completing the

133

volume up to 50.00 mL solution with osmosis water.

134 135

2.3.2. ICP OES Instrumentation

136

The ICP OES experiments were performed on an optimum 7000 Perkin Elmer dual-

137

vision instrument equipped with shear gas, solid state detector (CCD) and pre-optical

138

system with purge. The parameters such as power, sample introduction flow and

139

nebulizing gas flow were optimized using response surface methodology. [Barros et al.,

140

2010]. For optimization purposes, the ratio generated by the intensities obtained from

141

the analysis of the magnesium element in lines II (280 nm) and I (285 nm) was used as

142

a response, aiming at the operation of the plasma under robust conditions. The value

143

found in the optimized condition is close to 10.0, which is considered ideal [Peixoto et

144

al., 2012]. The optimized conditions were power: 1257 W, sample introduction flow

145

1.57 mL min-1 and nebulization gas flow of 1.25 L min -1.

146

The emission lines utilized were 327.392 nm, 206.200 nm, 226.502 nm and 261.418 nm

147

for copper, zinc, cadmium and lead respectively, which demonstrated to be more

148

sensitive lines and without spectral interferences. The standard solutions of Cu2+, Zn2+,

149

Cd2+ and Pb2+ (1000 mg L

150

calibration curves.

-1)

(Qhemis High Purity ®) were used to construct the

151 152

2.3.3. Analytical quality verification of the reference method (ICP OES).

153

Factors to verify the quality of the reference method proposed were also investigated,

154

such as: the linearity of the calibration curve (in specific working range for each metal)

155

and matrix effect; determination of the limit of detection, determination of the limit of

156

quantification; accuracy and precision. [Albano et al., 2009; Brito et al., 2003; Oliveira

157

et al., 2012].

158 159

2.4. Procedure for analysis of samples by square wave anodic stripping voltammetry

160

(SWASV).

161

The electrochemical square wave anodic stripping experiments were performed using a

162

computer controlled Metrohm® 797 Computrace Voltammetric Analyzer by means of

163

the software 797 VA computrace version 1.2 for controlling the experiment and for data

164

acquisition.

165

The analysis employed a conventional 25-mL electrochemical cell consisting of an

166

auxiliary platinum wire electrode with a geometric area of 1 cm2, an Ag/AgCl reference

167

electrode (KCl 3.0 mol L-1) and, as working electrodes, two different types: commercial

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graphite electrode (Metrohm®) and the carbon nanotube homemade electrode,

169

manufactured as described in the literature by Keyvanfard et al. Briefly, the carbon

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nanotube paste was obtained by mixing carbon nanotubes and graphite powder in the

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ratio of 10:1. The mixture was homogenized and dispersed in diethyl alcohol.

172

Subsequently, the organic solvent was evaporated and the paste obtained was placed in

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a pipette tip which served as a carrier and the electric contact was made using copper

174

wire.

175

For the analysis of square wave anodic stripping voltammetry, an electrodeposition time

176

of 50s, electrodeposition potential of -0.90 V, amplitude of 0.05 V, scan rate of 0.1 V s-

177

1

178

1.0 V. Samples were inserted in the electrochemical cell of about 20.00 mL containing

179

phosphate solution of 1.00 mol L-1. All measurements were performed at room

180

temperature (25oC). After previous studies, these were the best conditions found for

181

metal analysis by using this technique.

and frequency of 100 Hz were used. The potential range showed was from -1.4 V to

182 183

2.5. Chemometric Treatment

184 185

For the simultaneous determination of metals in cachaça, the chemometric models were

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constructed based on partial least squares - PLS [Martens and Naes, 1989] and artificial

187

neural networks - ANN [Jang et al., 1997; Zampronio et al., 2002; Barthus et al., 2005].

188

PLS is a powerful method of multivariate calibration that is applied for the treatment of

189

complex data. To construct the PLS model, the independent variables (variable x - data

190

from voltammograms) and the dependent variables (variable y - concentration data)

191

were used to establish a linear regression model for each metal. For this, the data are

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placed in matrix form: matrix X and y and then these matrices are decomposed in

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scores and loading matrices according to equations 1 and 2.

X  TP t  E   t h p ht  E

194

y  UQ t  f   u h q ht  f

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(1) (2)

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T and U are the matrices scores; P and Q are the loadings matrices and E and f are the

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residual matrices. The superscript t indicates transposed matrix. The linear relationship

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between the two blocks is performed by correlating scores for each component. The

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regression vector b is determined by the following relation: uh  bhth

200

(3)

201

This model is not the best one possible. The reason is that the principal components are

202

calculated for both blocks separately so that they have a weak relation to each other. It

203

would be better to give them information about each other so that slightly rotated

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component results which lie closer to the regression line. Due to rotation, the term

205

principal component is replaced by latent variable. A mixed relation is produced and a

206

final model obtained.

207

The other multivariate method, ANN [Zampronio et al., 2002; Barthus et al., 2005. Jang

208

et al., 1997], was used for comparison. ANN is a system of several simple units

209

(artificial neurons), which are properly linked. This represents an iterative model that

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mimics the system of biological neurons. Here, the neural architecture was composed of

211

three layers: input layer (data from voltammograms), hidden layer and output layer

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(metal concentration data). For multilayer networks, the output of one layer becomes

213

the input to the following layer, and the output in the last layer is considered the

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network output. In order to train a neural network, the data input for each layer

215

multiplied by weights are integrated in an artificial neuron and the output is obtained by

216

applying mathematical function to these data. The data flows with adjusted form from

217

the first and the last layer in order to achieve the desired goal. The network outputs

218

(estimated values) are compared to the expected values, resulting in the mean square

219

error . The next step is to correct the weights of all layers until the error is minimized

220

and the network is considered fully trained when an error considered to be satisfactory

221

is obtained. The algorithm utilized to correct the weights was the Marquardt-Levenberg,

222

which is robust and faster in convergence. This can be represented by equation 4. w = (JTJ +I)-1 JT e

223

(4)

224

where J is a Jacobian error matrix for each weight  is a positive scalar, I is the identity

225

matrix and e is an error vector. When the artificial neural network is completely trained

226

and it is possible to evaluate the generalization properties by adopting another group of

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data: a validation set where the metal concentration for another group of samples can

228

be predicted.

229

To evaluate the performance of the multivariate methods proposed, the root mean

230

squared error of prediction – RMSEP (equation 5), and coefficient of determination –

231

R2, (equation 6) were utilized. ^

 (yi  yi ) 2

RMSEP 

232

(5)

n

233 ^

R

234

2

 (y  y )   ( y  y) i

i



i

235

2

i

2

i

(6)

236 237

Where

238

estimated concentration of the analyte in the sample i; y is the average value; and n is

239

the total number of samples used in the prediction sets.

240

is the true concentration of the analyte in the sample i; 

represents the

241 242

3. Results and Discussion

243

3.1. Evaluation of method quality based on ICP OES - The reference method.

244

The contents of the copper, zinc, cadmium and lead metals in the cachaça were

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determined by ICP OES, under optimized conditions already described in the

246

methodology, and served as the reference data for the development of the chemometric

247

methods. For this purpose, the evaluation of method quality based on this technique was

248

also realized and it is presented below.

249

Linearity: The calibration curves obtained for the elements were linear throughout the

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working range, with copper range of 0.1 to 10.0 mg L-1; for zinc the range of 0.05 to 1.5

251

mg L-1; for cadmium 0.005 to 0.5 mg L-1 and the range of 0.005 to 0.5 mg L-1 for lead.

252

The coefficients of determination (R2), used as verification criterion, found for the

253

analyzed metals were around 0.999, except for lead, which was 0.997. It was verified

254

that the residues of the calibration curves show the absence of trends where a random

255

behavior is observed (results not shown).

256

Matrix effects: In order to confirm the absence of matrix effect, standard addition curves

257

and external calibration curve were used. It was observed by means of the F test that

258

there is no significant difference in the variance of the angular coefficients of these two

259

curves. The calculated F values were lower than the theoretical values for all the metals

260

analyzed, indicating that the external calibration curve can be used for the

261

determination, because there is no matrix effect.

262

Accuracy and Precision: The evaluation of methodology accuracy was carried out by

263

means of recovery tests in three levels of fortification, where standard solutions of the

264

metals were added to the samples. The exact values found were in the range of 84.2 to

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104.3% for copper; 80.0 to 109.3% for zinc; 82.7 to 100.5% for cadmium; and 86.4 to

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100.7% for lead, which correspond to adequate recovery values. The methodology

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precision evaluated by the relative standard deviation was between 1 and 4% for the

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metals analyzed.

269

Limit of detection and limit of quantification:

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0.010 mg L-1 for lead, 0.001 mg L-1 for cadmium, 0.014 mg L-1 for copper and 0.010

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mg L-1 for zinc. The limits of quantification were 0.040 mg L-1 for lead, 0.002 mg L-1

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for cadmium, 0.020 mg L-1 for copper and 0.011 mg L-1 for zinc.

The limits of detection were

273 274

3.2. Metal concentration values found in the artisanal cachaça samples.

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After verifying the method, it was used to obtain the concentrations of the metals in the

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samples of cachaça. Of the 90 samples analyzed, about 25% (23 samples) presented

277

levels of copper above the 5.0 mg L-1 allowed by Brazilian legislation, with total

278

variations between 0.10 mg L-1 and 9.80 mg L- 1. The presence of copper in artisanal

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cachaça comes from distillation processes that use copper stills. During production

280

processes, there may be the formation of copper salts, which can be dissolved by the

281

alcoholic acid vapors and transmitted to the drink [Souza et al., 2010]. Some studies

282

have already shown that similar copper content was found elsewhere in the country,

283

which evidences this as the main source of contamination [Bortolleto et al., 2015;

284

Fernandes at al., 2013]. Although the presence of copper still exists in the production of

285

many cachaças, there are, however, several studies found in the literature which shows

286

ways to minimize this contamination [Fernandes at al., 2013; Lima et al., 2006]. For

287

lead content, the Brazilian legislation permits concentrations of up to 0.2 mg L-1 for this

288

metal. No lead was detected in any of the study samples produced in this area of the

289

country. Or the Pb level is below the method detection limit. Either way, this metal is

290

not a serious contaminant to this area. Lead levels were found in studies by Tavares et

291

al. The zinc contents found in the present study were between 0.03 and 1.4 mg L-1. The

292

current literature [Titilawo et al., 2018] reports that the maximum concentration of zinc

293

recommended in drinking water is 5.0 mg L-1. There is no parameter for the

294

determination of zinc specifically for cachaça, as it is not a very common source of

295

contamination.

296

contamination of zinc present in the samples is due to contamination by components

297

that are part of the distillers, as well as by the containers used in the bulk storage of the

298

cachaças. The contents of cadmium, which can come from various sources, ranged

299

from 0.01 to 0.20 mg L-1. The maximum permitted cadmium content is 0.2 mg L-1. It is

300

thus within the limits. Cadmium levels were also found to be within the limits

301

established in studies by Fernandes et al.

302

The table 1 shows representative data of metals determination for the cachaças analyzed

303

and these data were employed in prediction phase for multivariate methods

304

development and presents in next section.

According to studies [Souza et al., 2010], the probable source of

Insert table 1 here

305 306

3.3 Analysis by Voltammetry.

307 308

Insert Figure 1 here

309 310

Figure 1 show the voltammograms recorded with graphite electrode and carbon

311

nanotube electrode in the potential of –1.4 to 1.0 V for the cachaça samples. By means

312

of these voltammograms, it is possible to observe different profiles for the samples, in

313

which the difference of sensitivity in the visualization of peaks of metals ( copper, zinc

314

and cadmium) in the voltammograms is accentuated depending on the electrode utilized,

315

whereas for the carbon nanotube we have better defined voltammograms. In addition to

316

this, it is clear the overlapping of peaks in the voltammograms for metals which

317

indicates the necessity of using multivariate methods for determination. The

318

voltammograms were obtained in optimized conditions after previous studies, shown in

319

the Experimental Procedures section.

320 321

3.4. Multivariate method (partial least square - PLS)

322 323

The multivariate methods allow the use of all the voltammograms to extract relevant

324

information related to each metal. By using PLS, three independent models were

325

constructed for zinc, cadmium and copper metals. Lead was not detected in the samples,

326

as mentioned before. These models were constructed with the data obtained in the

327

square wave anodic stripping voltammetry (current at different potentials, independent

328

variable - x) and with the metal concentration values obtained by ICP OES (dependent

329

variable - y). The variables x were obtained for each type of electrode (commercial

330

graphite and homemade carbon nanotube). The data were analyzed in different models.

331

The data obtained were arranged in matrix form: matrix X and matrix y corresponding

332

calibration models. Approximately 70% of samples were applied in the calibration

333

phase.

334

Pre-treatments of data are important factors for the construction of the PLS model and

335

necessary to increase the selectivity of the parameter of interest. Unsatisfactory results

336

were observed when there is no pre-treatment. The pre-treatments used for data from

337

independent variables were: smoothing and first derivative of the voltammogram

338

current values and mean centered of these data. The first pre-treatment was obtained by

339

using the Savitzky-Golay algorithm. In this case, it was also possible to minimize

340

baseline displacement influences. The mean centered was obtained by subtracting the

341

average value of the column, for each data point in this column. This pre-treatment

342

consists of a translation of the coordinate axis to the data centre. The data from

343

dependent variables were mean centered. These pre-treatments, which proved to be the

344

most suitable, were applied to the construction of all models for the determination of

345

metals.

346

The number of latent variables used to build the models for the various types of metals

347

was independent of the electrode used. The models used for metal determination

348

consisted of five latent variables corresponding to approximately 90% of the total

349

necessary information to construct the PLS model for copper and zinc; and six latent

350

variables that are responsible for 85% of the total information used for the construction

351

of the PLS model corresponding to cadmium in samples of cachaças. The number of

352

latent variables used in these models was chosen by complete leave-one-out cross-

353

validation, which is based on the determination of the minimum prediction error

354

performing the best number of latent variables necessary in this procedure.

355

The models constructed were also evaluated in terms of leverage and residual analysis

356

for the purpose of identifying anomalies that when present were removed and a new

357

model without the presence of these samples was constructed. The relative performance

358

of the models was evaluated in terms of root-mean square error in calibration (RMSEC)

359

and the coefficient of determination (R2) was also presented. These data are present in

360

table 2. Based on results found for R2 and RMSEC, adequate models were obtained for

361

both types of electrodes and used to determine the concentration of these metals in the

362

cachaças, using other samples which constitute the prediction phase ( table 1),

363

approximately 30% of samples were used here . The data utilized in the prediction were

364

submitted to the same pre-treatment used before in calibration phase. The root-mean

365

square error in prediction (RMSEP) and coefficient of determination (R2) for the various

366

models are also shown in table 2.

367

Insert table 2 here

368 369

Figure 2 illustrates the comparison graphs of predicted vs. expected concentrations for

370

the considered metal for testing subsets using PLS model.

371 372 373

Insert Figure 2 here

374 375

By analyzing the R2 value obtained in the prediction, it is possible to notice that the

376

coefficient of determination for all metals analyzed has value around of 0.9, which

377

shows that the predicted and expected values are consistent. The RMSEP value found

378

shows that the model constructed by using carbon nanotube electrode presents a better

379

performance than the model constructed by using graphite electrode.

380

It was noticed that RMSEC and RMSEP present similar values for models constructed

381

for both electrodes, which denotes no overfitting of the models constructed. In all the

382

cases, it was possible to observe that the association of chemometric methods with

383

voltammetric data produced good results for metal prediction in cachaças.

384

385 386

3.5. Multivariate method (artificial neural networks - ANN)

387

Artificial neural networks were also used for the prediction of copper, zinc and

388

cadmium metals in the cachaça samples. Three independent models were constructed.

389

For comparative purposes, the same data from the previous model were used for the

390

construction of the model based on artificial neural networks, that is, the

391

voltammograms of the samples of cachaças (current value at different potential) and the

392

metal concentrations of previously known samples (obtained by using ICP OES

393

method). Different models were constructed for each electrode utilized. Once again, the

394

data underwent mathematical pre-treatments: smoothing and first derivative of the

395

voltammogram current values and mean centered of these data (data from independent

396

variables) and mean centered for data from dependent variables. For neural networks,

397

the data from independent variables were also reduced applying principal component

398

analysis. It is observed that six major components are responsible for more than 90% of

399

the explained variance for all metals analyzed in the different models using both

400

electrodes. All the ANN models were based on three-layered multi-layer perceptron

401

(MLP) architecture. The input data from the neural network is composed of scores of

402

the principal components, and then an input layer with six neurons was used. A hidden

403

layer with eleven neurons and an output layer with one neuron (metal concentrations)

404

make up the architecture of the neural network. In order to train the neural network, a

405

tan-sigmoidal function was utilized in the hidden layer as a transfer function. For the

406

output layer, a linear function was utilized. The neural network was trained by the

407

Marquardt–Levenberg algorithm, using a maximum number of iterations equal to one

408

thousand, and the error value employed as criterion for stopping was 1×10−2. Criteria

409

such as number of neurons in hidden layer, activation functions utilized, and iteration

410

number were chosen using a trial and error process that considered the nature of the data

411

to be modeled until their best combination was found. In order to evaluate the correct

412

fit of the neural model, the outputs were compared with the expected concentration

413

values. If there were significant differences, then the weights of the connections

414

between neurons would be modified according to the rules of the training algorithm.

415

Training is considered successfully completed when the mean square error expected is

416

found. And then, the neural network is trained.

417

Table 3 shows the results of the RMSEC and the coefficient of determination of the

418

calibration data for both electrodes after network training. It can be verified that the

419

coefficient of determination (R2) value is near 0.9, which means that there is a good

420

correlation between the data predicted by the ANN model and those expected and

421

provided by the reference method. The RMSEC values are also at appropriate levels.

422

After training, its accuracy was then evaluated towards samples of the external test

423

subset by employing the developed model to predict the concentrations of the metals of

424

those samples (external validation). The relative performance of the different models for

425

each sample was evaluated in terms of root-mean square error in the prediction

426

(RMSEP) and also by coefficient of determination (R2) for both cases. Table 3 also

427

shows the results of the RMSEP and the coefficient of determination (R2) of the

428

validation data for models constructed for both electrodes.

429 430

Insert table 3 here

431

Figure 3 illustrates the comparison graphs of predicted vs. expected concentrations for

432

the considered metal for testing subsets using ANN model.

433 434 435

Insert figure 3 here

436

In all cases, it was noticed that the association of chemometric methods with

437

voltammetric data produced good results for metal prediction in cachaças and the

438

model are not overlay adjusted.

439

In addition, Table S1 and S2 in the Supplementary Material shows the results of

440

repeated analyses of some samples using both methods, where again it is found that the

441

RMSEP values have adequate values.

442

3.6. Comparison of methods: PLS and ANN.

443

According to the results, it is possible to observe that the carbon nanotube electrode is

444

more sensitive for the determination of metals in the cachaças regardless of the method

445

used. For comparing the methods, the F test was performed considering RMSEP values.

446

By means of this test at the 95% confidence level F = 1.90 (27 samples), it is possible to

447

observe that for the metals determination, there is no statistical difference among

448

methods. The calculated F values were lower than the theoretical values for all the

449

metals analyzed. In general, both methods have good results.

450 451

4. Conclusion

452 453

According to the results, the simultaneous quantification of copper, zinc and cadmium

454

in artisanal cachaças using two types of electrodes (graphite and carbon nanotube) and

455

considering the combination of the square wave voltammetry and the chemometric

456

methods showed good results. Based on this, the proposed methodologies can be used

457

for the determination of metals in cachaças. As an advantage, these methods can

458

replace costly maintenance and performance methodologies such as ICP OES. In

459

addition, these methodologies are simple and fast and can be an effective tool for

460

routine analysis for the quality control of these products.

461 462

Conflict of interest

463 464

The authors declare that they have no conflicts of interest.

465 466

Acknowledgments

467 468

We are grateful to NCQP/UFES for supporting this study, and R. J. Ferreira would also

469

like to thank Capes for the scholarship.

470 471 472

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597 598 599 600 601 602 603 604

605 606 607

Figure Captions

608 609

Fig 1. Square wave voltammograms of cachaça samples by using graphite carbon

610

electrode and carbon nanotube electrode.

611

Fig 2. Prediction versus reference values of validation samples, commercial graphite

612

electrode (a), (b),(c); nanotube electrode (d), (e) and (f) by using PLS model.

613

Fig 3. Prediction versus reference values of validation samples, commercial graphite

614

electrode (g), (h),(i); nanotube electrode (j), (l) and (m) by using ANN model.

615

616

617

618 619

620

Table 1. Concentrations values of metals (mg L-1) obtained by ICP OES and utilized in prediction phase. Sample

Cu (mg L-1)

S.D

Zn (mg L-1)

S.D

Cd (mg L-1)

S.D

1

7.97

0.06

0.568

0.003

0.087

0.002

2

0.94

0.02

0.073

0.004

0.123

0.002

3

1.52

0.03

0.779

0.003

0.173

0.008

4

3.27

0.05

0.236

0.002

0.175

0.003

5

0.32

0.02

0.826

0.006

0.173

0.005

6

1.65

0.02

0.629

0.003

0.024

0.002

7

4.37

0.03

0.397

0.006

0.014

0.008

8

6.87

0.07

0.826

0.004

0.131

0.007

9

2.56

0.08

0.088

0.003

0.004

0.001

10

6.07

0.02

0.389

0.010

0.050

0.005

11

2.58

0.05

0.583

0.004

0.173

0.008

12

4.81

0.03

0.251

0.003

0.021

0.007

13

1.27

0.07

0.706

0.006

0.014

0.001

14

9.78

0.40

0.479

0.005

0.131

0.002

15

0.45

0.05

0.863

0.006

0.004

0.001

16

2.40

0.10

0.408

0.005

0.045

0.002

17

6.28

0.10

0.159

0.005

0.173

0.008

18

0.88

0.09

0.245

0.006

0.021

0.006

19

4.34

0.05

0.585

0.004

0.141

0.002

20

3.22

0.08

0.330

0.002

0.096

0.003

21

8.06

0.09

0.451

0.008

0.044

0.001

22

3.37

0.06

0.513

0.004

0.137

0.007

23

0.91

0.04

0.546

0.003

0.078

0.002

24

0.90

0.05

0.560

0.003

0.024

0.001

25

2.68

0.03

0.234

0.005

0.045

0.002

26

5.16

0.07

0.775

0.006

0.070

0.003

27

7.50

0.10

0.544

0.004

0.090

0.007

S.D- Standard deviation

621

Table 2. Parameters of the PLS model (calibration and validation) using two different

622

electrodes. PLS

623

(a)Cu

(a)Zn

R2calibration

0.986

0.962

0.981

0.997

0.989

0.991

RMSEC

0.186

0.108

0.0042

0.086

0.013

0.0020

R2 prediction

0.987

0.968

0.980

0.997

0.985

0.990

RMSEP

0.170

0.104

0.0039

0.078

0.010

0.0017

(a) graphite electrode.

(a)Cd

(b)

Cu

(b)Zn

(b)

Cd

(b) carbon nanotube electrode

624 625 626 627 628

Table 3. Parameters of the ANN model (calibration and validation) using two different electrodes ANN (a)Cu

629 630 631 632 633 634 635

(a)Zn

( a)Cd

R2calibration 0.993

0.995

0.989

0.994

0.991

0.981

RMSEC

0.165

0.196

0.0054

0.100

0.018

0.0018

R2prediction

0.990

0.987

0.978

0.998

0.992

0.991

RMSEP

0.157

0.194

0.0046

0.090

0.016

0.0016

(a) graphite electrode.

(b)

(b) carbon nanotube electrode

Cu

(b)Zn

(b)

Cd

636

Highlights

637 638 639 640

 New methods based on association of multivariate calibration and voltammetric technique were developed.

641

 Different methods for metals determination were compared.

642

 Electrodes comparisons were performed.

643

 Samples were analyzed without any previous pretreatment.

644

 Artisanal cachaça quality was verified in terms of metal content.

645 646 647