Journal of Chemistry

Volume 2013 (2013), Article ID 947137, 9 pages

http://dx.doi.org/10.1155/2013/947137

Research Article

Optimization of Environmentally Benign Polymers Based on Thymine and Polyvinyl Sulfonate Using Plackett-Burman Design and Surface Response

Julieta Ledesma,¹ Santiago A. Bortolato,² Carlos E. Boschetti,¹ and Débora M. Martino2,3

¹Área Tecnología Química, Facultad de Ciencias Bioquímicas y Farmacéuticas, Universidad Nacional de Rosario, Suipacha 531, S2002LRK Rosario, Argentina

²Instituto de Desarrollo Tecnológico para la Industria Química (INTEC), Güemes 3450, S3000GLN Santa Fe, Argentina

³Facultad de Humanidades y Ciencias, Universidad Nacional del Litoral, Paraje El Pozo, S3080HOF Santa Fe, Argentina

Received 15 February 2013; Accepted 24 April 2013

Academic Editor: Sofia Trakhtenberg

Copyright © 2013 Julieta Ledesma et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract.

Traditional approaches to the development of integrated circuits involve the use and/or manufacture of toxic materials that have a potential environmental impact. An extensive research has been done to design environmentally benign synthetic polymers containing nucleic acid bases, which can be used to enhance the photoresistor technologies. Water soluble, environmentally benign photopolymers of 1-(4-vinylbenzyl) thymine (VBT) and vinylphenyl sufonate (VPS) undergo a photodimerization reaction when exposed to low levels of ultraviolet irradiation leading to an immobilization of the copolymer on a variety of substrates. Plackett-Burman design (PBD) and central composite design (CCD) were applied to identify the significant factors influencing the polymer crosslinking and dye adsorption processes, which are relevant in the fabrication of copolymer films for potential photoresist use. The PBD results assigned a maximum absorption signal of 0.67, while optimal conditions obtained in this experiment following the CCD method predictions provided a response of 0.83 ± 0.03, being a solid foundation for further use of this methodology in the production of potential photoresistors. The pH effect was relevant for low concentrations but not significant for higher concentrations. To the best of our knowledge, this was the first report applying statistical experimental designs to optimize the crosslinking of thymine-based polymers.

1. Introduction

The success of semiconductor technologies in recent decades has been based primarily on what is called the photolithography technique, often used to make integrated circuits [1]. Photolithography is the process by which optical methods are used to transfer the circuit patterns from master images (masks) to substrates, typically silicon wafers. The traditional approaches to the development of integrated circuits involve obtaining small pieces at low cost, without considering the toxicity of the materials used and/or manufactured, and their potential environmental impact. During the last decades, extensive research has been done to design environmentally benign synthetic polymers containing nucleic acid bases, which can be used to enhance the photoresistor technologies [2–5]. The need for an inexpensive, stable, and versatile system which incorporates thymine moieties in the polymer backbone leads to the design of a new synthetic monomer, the 1-(4-vinylbenzyl) thymine (VBT) [6], that has the ability to photocrosslink upon irradiation with short-wavelength ultraviolet (UV) component of sunlight [6–8]. This process was bioinspired on the photodimerization of thymine, one of the DNA bases, both in vivo and in vitro under irradiation with ultraviolet light, which disrupts the helical structure of DNA [4, 5].

The versatility of VBT makes it an attractive research platform, since the balance between photoreactivity, solubility, and noncovalent interactions can be fine-tuned for a variety of applications. Since the VBT homopolymer is water insoluble due to strong intermolecular interactions, the copolymerization of VBT with charged functional groups can improve its solubility. Among them, substituted styrenes either cationic such as vinylbenzyl triethylammonium chloride (VBA) and N-butyl-N,N-dimethyl-(4-vinylbenzyl)ammonium chloride (BDMQ), or anionic such as vinylphenyl sufonate (VPS), allow for obtaining a fully water-processable photoresist, eliminating the need of toxic solvents [9, 10]. The resulting photopolymers of VBT and VPS or VBA are water soluble, environmentally benign, and undergo a photodimerization reaction of the pendant thymine units when exposed to low levels of ultraviolet irradiation. This process leads to an immobilization of the copolymer on a variety of substrates in response to irradiation and allows the removal of unexposed regions by aqueous wash (photoresist), having potential applications in a variety of fields [9–19]. Trakhtenberg et al. introduced the photoresistive capacity of VBT-VPS copolymers and demonstrated that they can be used as a viable template for enzymatic synthesis of conductive polyaniline, allowing for surface photopatterning with a conductive polymer under mild conditions [15]. The same copolymer was also used in photoresist applications [9, 20]. In those works, the authors immobilized the copolymers to form thin films on polyethylene terephthalate (PET) substrate and demonstrated that the process is potentially useful for the advancement of photoresistors [20].

In photolithography technique, in order to create the patterns, the wafers are coated with a photosensitive material called photoresist, which changes its solubility upon exposure to light through an appropriate mask of UV opaque material. This allows the selective irradiation of only the desired areas of the photoresist-coated wafer, thus transferring the pattern from the mask onto the wafer. After being exposed to light the photoresist-coated wafer goes into a developing solution that selectively removes the resist layer from unexposed areas, resulting in a wafer with the semiconductor surface partially protected by the resist [21]. In subsequent steps, the unprotected areas are modified, for example, by chemical etching, while protected areas remain intact. Finally the remaining photoresist is stripped off the wafer, which now features the pattern identical to the one on the mask. This process can be repeated several times, using different masks [1]. Figure 1 schematically presents the photolithography process.

Figure 1: Description of photolitography process.

Taking into account that the photoimmobilized copolymer film is very thin (<1 μm) and translucent, the immobilized copolymer coatings are typically visualized by dipping the resulting patterned films into a solution of an oppositely charged dye. The dye chosen for VPS was methylene blue (MB) given that it has a net positive charge that favors the physisorption process on the polymer, as it was shown [9]. The dye selectively adsorbs on the charges of the photocrosslinked copolymer, providing clear contrast from the unreacted regions. The amount of adsorbed dye can be monitored by UV-VIS spectroscopy, measuring the absorbance at 610 nm (MB absorbance maximum), and therefore a correspondence among the measured absorbance and the amount of immobilized charged groups on the substrate surface can be made [9].

The technological applications of these polymers were seen earlier than the necessary basic studies, which could help to understand their behavior and improve their service. Therefore, more studies need to be done in order to optimize the proposed photocrosslinking method due to the large amount of variables that have effect on the processing and development of these copolymers. To begin with, thymine is a compound having acid-base behavior with a pKa 9, and it has been demonstrated that at pH greater than pKa thymine exists mostly in its anionic form, in an equilibrium between two tautomers (ratio 1 : 1), one of which cannot crosslink [22]. It was found experimentally that increasing the proportion of VPS in its VBT-VPS copolymer, the pH of the solution increases to values close to 11, which could produce a significant reduction in the efficiency of the crosslinking process. However, the efficiency and reproducibility of the method used to prepare VBT-VPS coatings may depend on other factors, including the coating thickness and the copolymer composition [20]. Although the works cited before [9, 20] are very helpful to screen important factors influencing film preparation, they are insufficient to establish a general rule for manufacturing certain photoresist polymers with reliable properties. In general, it is difficult to obtain the comprehensive effects of some factors through a reasonable number of experiments. Solving this problem in a rational way involves performing an experimental design [23]. This procedure can be summarized in three stages: (1) identification of factors that can influence the results of the experiments, (2) use of statistical analysis to separate and evaluate the effects of the various factors involved “screening phase”; and (3) with the significant factors, get the best response possible for the developed experiment “response surface phase” [23]. The primordial difference between the classical one-variable-at-a-time method and the experimental design is that, in the latter case, the values of all the factors are varied in each experiment in a programmed and rational way. Some of the studied factors will probably have no influence on the experiment, and only few will act upon the response; therefore, the essential factors can be detected while keeping the number of trials to a minimum.

Plackett-Burman design (PBD) is a method that can inspect up to factors in experiments and is commonly used in the screening phase of a wide range of processes [24–26]. It has been proven to be an efficient way of evaluating a large number of variables and identifying the significant ones from a statistical point of view [23–26]. Therefore, in this study, PBD method was applied to identify the significant factors influencing the polymer crosslinking and dye adsorption processes that are relevant in the fabrication of copolymer films for potential photoresist use. The effects of seven controllable factors on the process performances were studied. Selected operational variables were pH, concentration, dyeing time, solution stability, coating thickness, comonomer ratios, and film drying time. The absorbance corresponding to the methylene blue dye at 610 nm, as an indication of VBT-VPS crosslinking efficiency, was chosen as the response value of the PBD experiments.

Once the various factors affecting the results of an experiment have been identified through PBD, a separate method is needed to determine the combination of factor levels, which will provide the optimum response. First it is necessary to carefully define what is meant by “optimum response” in a given experimental procedure; in our case, the optimum outcome of the experiment would be the maximum signal-to-noise ratio in the absorbance measurements. With that in mind, the response surface methodology (RSM) is an efficient experimental tool with which the optimal conditions of a multivariable system may be determined. This strategy includes a large number of statistical techniques [23, 27], in particular the Central Composite Design (CCD) which was used to explore the relationships between several descriptive variables and one response variable.

In this work, the optimization of the main factors affecting the polymer photocrosslinking and subsequent dye adsortion processes was carried out by means of an experimental design. The goal of the present research is to quantitatively assess the effects of numerous variables over the photocrosslinking process and to propose the best experimental conditions for the improvement of photoresistors based on VBT and VPS copolymers in a rational way and at low cost of experiments.

2. Materials and Methods

2.1. Materials

All reagents were purchased in the purest available form and were used as received. Sodium hydroxide, isopropanol, and acetone were purchased from Cicarelli (Buenos Aires, Argentina). 4-Vinylbenzyl chloride, 2,2′-azobis-2-methylpropionitrile (AIBN), 2,6-di-tert-butyl-4-methylphenol, thymine, and methylene blue (MB) were purchased from Sigma-Aldrich (SA) (Buenos Aires, Argentina). VBT was synthesized from thymine and vinylbenzyl chloride as described previously [6]. VPS salt was purchased from Fluka (Buenos Aires, Argentina). Based on ¹H NMR spectra and melting point results, the monomeric products were deemed pure enough for the synthesis of the polymers.

Hydrophilic polyethylenterephthalate film (PET-X4C1, Dupont) was used as substrate without previous treatment. Coatings were done using wire-round milled coating rods purchased from RDS Corp. (Webster, NY, USA). Irradiations were performed using a UV hand lamp (Spectroline UL, Model ENF 260c, Spectronics Corporation Westbury, NY, USA). Absorbance measurements were taken with Spectronic Genesys spectrophotometer (Thermo Electron Corporation, USA), UV-VIS spectra were collected on Jasco V-630 UV-VIS spectrophotometer (Jasco Inc., USA), and ¹H NMR spectra were taken on Bruker 300 MHz NMR spectrometer.

2.2. Copolymer Synthesis and Characterization

To produce water-soluble polymers, VBT was copolymerized in a free radical process with the anionic monomer, VPS. The ratio of VBT : VPS comonomers influences the behavior of the VBT polymeric system and varies depending on the application. Therefore, have been synthesized with and 1, 4, 8, 16, 32.

VBT : VPS 1 : 1 copolymer: to a 300 mL, 3-neck, round-bottomed flask containing 250 mL of a 50% (v/v) aqueous solution of isopropanol, VBT (11.9 g, 0.049 mol) and VPS (10.1 g, 0.049 mol) were added. The solution was heated to 65°C while stirring and 0.22 g of AIBN was added. Stirring was continued for 16 h while the temperature was maintained at 65°C. The reaction mixture was cooled to room temperature and rotary evaporated to concentrate to 125 mL in vacuo. Adding the aqueous solution to 1 L of cold acetone precipitated the polymer. Subsequently, the white solid precipitate was filtered and then dried under vacuum for 2 days. To verify the absence of unreacted monomers, the precipitated polymer was analyzed by ¹H NMR spectroscopy and the typical vinyl group signal at chemical shifts between 5 and 6 ppm was not observed in the spectra. Additionally, elemental analysis was used to confirm copolymer ratios [9]. Scheme 1 presents the structure of the VBT-VPS copolymers.

Scheme 1: Structure of VBT-VPS copolymers ( and , 4, 8, 16, or 32).

VBT : VPS 1 : 4, 1 : 8, 1 : 16, and 1 : 32 copolymers were synthesized with identical procedures only varying the corresponding ratios of starting monomers.

2.3. Coating Preparation and Film Irradiation

Aqueous solutions of each ( 1, 4, 8, 16, 32) copolymers were distributed homogeneously on PET film using either a no. 3 or no. 6 wire-round milled coating rod. The films were dried at room temperature for one hour and in a vacuum oven (at 80°C ~20 torr) for another hour to give a uniform wet thickness of 6.8 μm or 13.6 μm according to the coating rod specifications [28]. Films were protected from the environmental light throughout the process.

All copolymer-coated films were irradiated with a UV hand lamp at 254 nm from a distance of 1 cm at different times (from 10 to 60 seconds) for the preliminary studies and one minute for the experimental design. This process leads to the immobilization of the polymer in response to the irradiation (photoresist material). The curing reaction due to radiation was achieved at room temperature; thus these coatings can be prepared on heat sensitive materials.

The samples were then immersed into an aqueous solution of MB dye ( M) for 30 or 120 s. Next, they were dried by hot air or at room temperature and visually examined for uniform coloring. The photocrosslinking was monitored indirectly by UV-VIS spectroscopy measuring the efficiency of dye adsorption.

2.4. Plackett-Burman Design

Plackett-Burman design (PBD) [29] was used in the present study to screen the essential variables that significantly influence the photocrosslinking process. In this study, a 12-run PBD, including a replicated one to analyze the model lack of fit, was applied to evaluate seven factors: five numerical and two categorical. Each variable was examined at two levels, according to the guidelines of PBD [29]. Table 1 illustrates the seven variables and their corresponding levels (low/high for numerical variables and one/two for categorical variables) used in the experimental design. The values of the levels were set according to our preliminary experimental results.

Table 1: Experimental variables used in the Plackett-Burman design.

Variable
Type
Units
Symbol
Low level
High level

pH
Numerical
a
A
6
12

Concentration
Numerical
% g L⁻¹
B
2
10

Dyeing time
Numerical
Sec
C
30
120

Stability
Numerical
Day
D
1
30

Coating thickness
Numerical
μm
E
6.8
13.6

Level one
Level two

Drying filmb
Categorical
a
F
Yes
No

Comonomer ratioc
Categorical
a
G
1 : 1
1 : 4

aNot applicable. bDrying as explained in Section 2.3. c1 : 1 = VBT : VPS₁, 1 : 4 = VBT : VPS₄.

The PBD and the response values of absorbance corresponding to MB dye adsorption on photocrosslinked copolymer, both the observed and predicted by the PBD model, are shown in Table 2.

Table 2: Twelve-trial PBD matrix for seven variables (A to G): experimental input values, and observed and predicted absorbancea.

Run order
Experimental values
Absorbanceb

A
B
C
D
E
F
G
Observed
Predicted

1
12.0
2
30
1
13.6
Yes
1 : 4
0.18
0.17

2
6.00
10
30
30
13.6
No
1 : 4
0.54
0.52

3
12.0
10
120
1
13.6
No
1 : 1
0.58
0.61

4
12.0
2
120
30
13.6
Yes
1 : 4
0.10
0.11

5
12.0
2
30
30
6.8
No
1 : 1
0.44
0.37

6
6.00
2
30
1
6.8
Yes
1 : 1
0.39
0.43

7
6.00
10
30
30
13.6
Yes
1 : 1
0.67
0.70

8
6.00
2
120
1
13.6
No
1 : 1
0.61
0.58

9
6.00
2
120
30
6.8
No
1 : 4
0.15
0.19

10
12.0
10
30
1
6.8
No
1 : 4
0.24
0.28

11
6.00
10
120
1
6.8
Yes
1 : 4
0.36
0.29

12
6.00
2
120
30
6.8
No
1 : 4
0.17
0.19

aA–G are symbols shown in Table 1. bAbsorbance measured at 610 nm.

2.5. Response Surface Methodology

The optimal levels of the significant factors and the interactions of these variables in a photocrosslinking process were analyzed by Central Composite Design (CCD). In this study, a two-factor, five-level CCD with 10 runs was employed. The tested variables (pH and polymer concentration) were denoted as and , respectively. The numerical variables were assessed at five different levels, combining factorial, axial, and central points, according to the guidelines of CCD [27]. The values for the three tested variables are shown in Table 3.

Table 3: Levels of the variables tested in the CCD.

Variable
Type
Symbol
Factorial levels
Axial levels
Central level

pH
Numerical

7.50
10.50
6.00
12.00
9.00

Concentration
Numerical

4.00
8.00
2.00
10.00
6.00

2.6. Statistical Analysis and Software

The analysis of variance (ANOVA) was conducted to determine the importance of the models and the regression coefficients, both in PBD and CCD assays. The statistical significance of the employed models, their terms, and their lack of fits were checked by Fisher’s F-test [30]. This test is used for comparing the model variance with the residual (error) variance: if the variances are close to the same value, their ratio will be close to unity, and it is less likely that any of the factors, terms, or lack of fits will have a significant effect on the response.

In CCD, the quality of the polynomial equation was judged from the determination coefficient (R ²), the predicted R ² (pred-R ²), which measures how good the model predicts a response value, the R ² adjusted for the number of parameters in the model relative to the number of points in the design (Adj-R ²), which estimates the amount of variation around the mean explained by the model, and its statistical significances were checked also by Fisher’s F-test [30]. The surface response and the contour plots of the predicted model responses were used to assess the interactive relationships between the significant variables.

Design-Expert software [27] was used for designing the experiments as well as for the regression and graphical analysis of the experimental data obtained.

3. Results and Discussion

3.1. Preliminary Step

The variables that could influence the polymer photocrosslinking and subsequent dye adsorption process were defined as follows. It was demonstrated that the irradiation time is positively related to the degree of photocrosslinking and how this relationship is modified when changing the VBT : VPS copolymer ratio up to a proportion 1 : 16 [9]. However, such analysis was carried out qualitatively, and therefore it is not possible to predict accurately the behavior of the photocrosslinking process.

Figure 2 shows the total intensity of MB absorption signal as function of irradiation time for polymer films at the same concentration (2%), with different VBT to VPS ratios (1 : 1 to 1 : 32). It can clearly be observed that the greater the proportion of VPS to VBT, the larger the irradiation time required to immobilize the polymer on the substrate surface and the lower the amount of dye adsorbed on the polymer after saturation. In general, these results are in good agreement with previous reported data [9]. However, from the potential technological-utility point of view, it is clear that mixtures with higher proportion of VPS (1 : 8, 1 : 16, and 1 : 32) are not convenient since the sensitivity of the absorption signal is poor at 60 seconds compared with the VBT : VPS (1 : 1). Based on these preliminary results, the analysis of the experiments was completed only with the polymers of the lowest ratio of VPS (1 : 1 and 1 : 4).

(a)

(b)

Figure 2: (a) Time evolution of MB absorption signal for polymer films at the same concentration (2%), with different VBT to VPS ratios (1 : 1 to 1 : 32). (b) UV-VIS absorption spectra of polymer film of VBT : VPS₁ at 2% and 60 seconds irradiation.

On the other hand, it is reasonable that the dyeing time significantly influences the observed signal as this process favors the physisorption, although previous studies did not explain in detail the effect of this factor [9]. Therefore, dyeing time is defined as a potential influential variable in the process.

Experimentally it was found that the pH value of the VBT₁ : VPS₃₂ solution increases to 11. Furthermore, the pH of the solution containing fewer amounts of VPS is around 6.5. On this basis, the pH influence on the photocrosslinking process was analyzed, since it can affect the acid-base behavior of thymine [22] and therefore reduce the efficiency of photocrosslinking process.

In addition, it was found experimentally that the pH of the solutions with greater VPS percentage (1 : 8 to 1 : 32) was modified over time, and after 30 days of preparation the pH stabilized in a value close to 6. While the explanation for this phenomenon is not completely clear, the stability of the solutions was considered as a potential influential variable in the process.

It has been shown that the film thickness controls the crosslinking process, being more effective as the thickness reduces [31]. Therefore two coating thicknesses were compared to see how this variable could influence the process. Similarly, it is likely that increasing the polymer concentration in the solution influences the process. Previous works used 10% aqueous solution of VBT-VPS [9, 20]. From an environmentally perspective, it seemed interesting to verify whether or not lower concentration values give good responses, as well.

Finally, it was reported that the retained water in the coated film could modify the process [31, 32]. Two alternative drying methods were compared to test the statistical significance of the drying method: (a) one hour at room temperature and (b) an additional hour in oven at 100°C.

In summary the seven experimental variables used in the PBD are shown in Table 1.

3.2. Screening Step

The data listed in Table 2 indicates a wide variation in the absorption signal corresponding to methylene blue dye adsorbed on the photocrosslinked polymer, from 0.10 to 0.67, in the 12 trials. This variation suggests that the optimization process is crucial for improving and controlling the dye adsorption after the photocrosslinking process. The analysis of the regression coefficients of the seven factors presented in Table 4 showed that factors B, C, and F had positive effects on dye adsortion, whereas factors A, D, E, and G had negative effects.

Table 4: Effects of the variables and statistical analysis of the PBD.

Source
Coefficient estimatea
Sum of squares
dfb
Mean square
value
value

Prob >

Model

0.4215968
7
0.06022811
13.1201459
0.0128

A
−0.0630
0.03967072
1
0.03967072
8.64190442
0.0424

B
0.079
0.06239922
1
0.06239922
13.593102
0.0211

C
−0.02242
0.00503972
1
0.00503972
1.09785677
0.3539

D
−0.0058
0.00034116
1
0.00034116
0.07431762
0.7986

E
0.0600
0.03602371
1
0.03602371
7.84743665
0.0487

F
0.0368
0.01359198
1
0.01359198
2.96088871
0.1604

G
−0.1287
0.1657404
1
0.1657404
36.1050351
0.0039

Residual

0.01836203
4
0.00459051

    Lack of fit

0.01812003
3
0.00604001
24.9587134
0.1458

    Pure error

0.000242
1
0.000242

Cor Totalc

0.43995883
11

aIn terms of coded factors. For the intercept, the estimated coefficient is 0.39. bDegree of freedom. cSum of total squares corrected for the mean.

The significant factors (at 5% significance level) are shown in bold type.

A Model F value of 13.12 (see Table 4) indicates that the model is significant; there is only a 1.28% chance that a “Model F Value” this large could occur due to noise [30]. The variable with “Prob > F” value lower than 0.0500 points out that model terms are significant, while values greater than 0.1000 indicate that the model terms are insignificant [30]. It was clear that variables A, B, E, and G were the significant factors, while variables C, D, and F were considered insignificant and were not included in the next step of the CCD experiments (see Table 4).

Figure 3 shows the time evolution of the MB adsorption signal for copolymer films of VBT : VPS₁ and VBT : VPS₄ at 2% concentration. It can clearly be seen that the time evolution of 1 : 1 is faster than 1 : 4, reaching a similar maximum absorption value at 60 sec and 450 sec, respectively. Therefore, at the irradiation time used in the experiments (60 sec) the signal intensity of the MB dye adsorbed on the crosslinked polymers is about 65% lower for 1 : 4 than 1 : 1, being the former less energy efficient. These results are consistent with the fact that decreasing the amount of the crosslinkable monomer, VBT, also slows down the curing process and consequently the amount of dye adsorbed after washing. For that reason, the comonomer ratio 1 : 4 was not included in the CCD model. On the other hand, as it was shown in a reported work [31], films made using coating rods no. 6 give rise to thicker films (13.6 μm) that need longer irradiation times to crosslink and produce comparable signal intensities of the adsorbed dye. Therefore, the coating thickness was also excluded in the CCD model.

Figure 3: Time evolution of MB adsorption signal for the copolymers VBT : VPS1 (•) and VBT : VPS₄ (∆) at the same concentration (2%).

Finally, the inclusion of a duplicate as mentioned in the experimental section allowed the model fit determination. The “lack of fit F value” of 24.96 suggests that it is not significant relative to the pure error: there is a 14.58% chance that a “Lack of Fit F-value” this large could occur due to experimental noise [30].

3.3. Optimization Step

CCD was used to study the correlations between the significant factors and to determine their optimal levels. The central composite design matrix of tested variables and the experimental results are represented in Table 5.

Table 5: Central composite design matrix and the corresponding experimental and predicted responses for dye adsorption on crosslinked polymer process.

Run order
pH
Concentration
Absorbancea

Observed
Predicted

1
9.0
6
0.63
0.57

2
7.5
8
0.60
0.58

3
7.5
4
0.49
0.50

4
9.0
2
0.41
0.41

5
10.5
4
0.46
0.48

6
6.0
6
0.48
0.50

7
10.5
8
0.75
0.73

8
9.0
6
0.57
0.57

9
9.0
10
0.71
0.74

10
12.0
6
0.63
0.64

aAbsorbance measured at 610 nm.

The competence of the model was checked using ANOVA, as shown in Table 6. The “F value” of the model was 34.4, and the value of “Prob > F” was <0.05, suggesting that the model proposed for the raised CCD (two-factor interaction) was significant. Linear terms of , and interaction term of were significant for dye adsorption process.

Table 6: ANOVA for RSM two factor interaction model.

Source
Coefficient estimatea
Sum of squares
dfb
Mean square
value
value

Prob >

Model

0.10592423
3
0.03530808
34.3997072
0.0004

-pH
−0.069
0.01380408
1
0.01380408
13.4489461
0.0105

-Conc.
−0.095
0.08377837
1
0.08377837
81.6230066
0.0001

0.015
0.00834178
1
0.00834178
8.12716909
0.0292

Residual

0.00615844
6
0.00102641

    Lack of Fit

0.00441794
5
0.00088359
0.50766308
0.7806

    Pure Error

0.0017405
1
0.0017405
34.3997072
0.0004

Cor Totalc

0.11208267
9

aIn terms of actual factors. For the intercept, the coefficient estimate is 0.9406. bDegree of freedom. cSum of total squares corrected for the mean.

From ANOVA, the experimental results of RSM fitted via the response surface regression procedure is a polynomial equation with the following expression:

in which is the predicted response, are the independent variables with and 2, is the offset term, is the th linear coefficient, and is the and interaction coefficient.

The coefficient of determination (R ²) was calculated as 0.9451 for dye adsortion according to (1), indicating a good agreement between the experimental and the predicted values. The pred-R ² of 0.8627 was in reasonable agreement with adj-R ² of 0.9176. The value of “adequate precision,” which measures the signal-to-noise ratio, resulted in a value of 16.5 suggesting an adequate signal [27]. The “lack of fit F value” of 0.51 implied that the “lack of fit” was not significantly relative to the pure error. The model was found to be adequate for prediction within the range of variables employed.

The graphical representations of the regression model (see (1)) and their corresponding contour plot were obtained using Design-Expert software and are presented in Figure 4 for comonomer ratio 1 : 1. The surface response plot represents the effect of two independent numerical variables, that is, pH and polymer concentration. The shape of the corresponding contour plot indicates whether or not the mutual interaction between the independent variables is significant. As shown in Figure 4, the surface response of absorbance indicates the presence of two regions of maximum response, one at high concentration and pH and the other at low pH. The optimum value found for the numerical variables for this copolymer composition using the CCD model equation is 9% for concentration and 10.7% for pH.

Figure 4: Three-dimensional response surface plots and two-dimensional contour plots for dye adsorption process on photocrosslinking polymer showing the interactions between pH and concentration variables for VBT : VPS₁.

A decrease in absorbance happens when the pH value is increased from 6 to 12, for concentrations up to 6%, giving rise to a relative maximum in the surface. The observed decrease of the absorbance at low concentration suggested that at high pH value the thymine moiety is present in the anionic form producing a strong reduction of the crosslinking process, as it was mentioned above.

At concentrations higher than 6% the tendency is inverse, so that the absorbance enlarges when pH varies from 6 to 12, showing an absolute maximum at 10% concentration. Therefore, at higher concentrations that effect of pH is diminished, and the absorbance turns out to be in direct relation to the polymer concentration.

The nature of the contour plot indicates that the mutual interaction between the two independent variables (, ) was significant, which means that the effect of pH on the response was dependent on the level of concentration used, being negligible at concentrations larger than 6%.

3.4. Validation of the RSM Model

The validation of the statistical model and the regression equation were conducted by taking into account the values of the variables corresponding to maximum response calculated from (1). Under these optimized conditions, the predicted response for dye adsortion was 0.82, and the observed experimental value was , an average of triplicate measurements. These results confirmed the validity of the model, and the experimental values were regarded to be quite close to the predicted values.

4. Conclusions

Results suggested that statistical strategy is an effective and important tool for the optimization of experimental parameters involved in dye adsorption on crosslinked polymer processes. In addition, to the best of our knowledge, this was the first report applying statistical experimental designs to optimize the crosslinking of thymine-based polymers. The PBD results assigned a maximum absorption signal of 0.67, while following the CCD method predictions, a response of 0.83 was obtained. The pH effect was relevant for low concentrations (less than 6%) but, as it was shown, not important for higher concentrations. Optimal conditions obtained in this experiment lead to a solid foundation for further use of this methodology in the production of potential photoresistors.

Conflict of Interests

The authors do not have any direct financial relation with any commercial identity mentioned in the paper and have declared that there is no conflict of interests.

Acknowledgments

Débora M. Martino, Carlos E. Boschetti, and Santiago A. Bortolato are members of the Research Council of CONICET. The authors would like to thank Universidad Nacional del Litoral (CAI+D Tipo II PI 11-57), CONICET (PIP 112-200801-01079 and D-1280/2011), and the NSF OISE (Grant no. 1031394) for the financial support.

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