MSCE  Vol.8 No.8 , August 2020
Single Step Microwave Assisted Synthesis and Antimicrobial Activity of Silver, Copper and Silver-Copper Nanoparticles
Abstract: Copper and silver nanoparticles were synthesized and characterized in two minutes at 175°C in a one-step synthesis using a modified polyol (ethylene glycol) method and a microwave heating process. We successfully synthesized spherical Silver (Ag) and Copper nanoparticles (CuNP) with a crystallite size of less than 10 nm, as well as irregular silver-copper nanoparticles (AgCuNP) with a crystallite size of less than 15 nm, as confirmed by X-Ray Diffraction (XRD) and High-Resolution Transmission Electron Microscopy (HRTEM). The successful synthesis of AgCuNP with 1:1 molar ratio and constituted by 51.74% of copper and 48.26% of silver was corroborated using the Energy Dispersive X-ray (EDX) mapping technique. The AgNP and AgCuNP exhibited more stability in suspension, in comparison to CuNP, as observed by continuously monitoring the absorbance with UV-Vis spectroscopy for 12 days. Furthermore, the minimum inhibitory concentration (MIC) and minimum bactericidal concentration (MBC) of AgNP, CuNP, and AgCuNP were determined, against Gram-negative and Gram-positive bacteria, and yeast. The obtained MIC and MBC values indicate that AgCu nanoparticles exhibited bactericidal properties greater than its constituents. On the contrary, antifungal activity of AgCuNP against yeast was not observed.

1. Introduction

Bacterial infections are an increasing public health concern. Most illnesses caused by bacteria are associated with the consumption of infected fresh products. The U.S. Center for Disease Control and Prevention (CDC) estimates that forty-eight million people get sick from a foodborne illness each year [1], meaning, that microbial pathogens are responsible for one of the leading causes of life-threatening illnesses around the world. Consequently, food safety is a public health issue of great concern to individual consumers, industries, and regulatory authorities. Among the most common foodborne disease-causing bacteria, in the United States, are Salmonella, Escherichia coli (E. coli), and Staphylococcus aureus (S. aureus) [2]. The consumption of food contaminated with these pathogenic bacteria could cause diarrhea, abdominal cramps and nausea. However, it could also lead to chronic illnesses such as cancer, brain and neural disorders, kidney and liver failure [3]. The risk of human bacterial infections caused by these microorganisms remains a challenge as these often survive on surfaces as a biofilm and have generated an enhanced resistance over time to commonly used antimicrobial agents [4] [5] [6]. Various techniques are traditionally used to extend the shelf life of food products, such as pickling, drying and freezing, and thermal processing. However, most nutrients in food are denaturalized or destroyed as a result of these procedures [7]. Hence, research on non-thermal sterilization techniques has become the foundation of research in this field. In this context, the attention has been focused on the production of novel nanoparticle-based materials with enhanced antimicrobial properties [8] [9] [10] [11]. Nanomaterials have long been of interest in various fields of biomedical and agricultural research, as these exhibit unique characteristics compared to conventional macroscopic materials [12] [13]. It is well-known that Silver (Ag) is a potent antimicrobial agent whose properties have been exploited to inhibit bacterial growth and destroy the cellular structure of microorganisms [10] [14] [15] [16]. Likewise, Copper (Cu) is also recognized as a potent antibacterial agent [17]. In this paper, we present a two minutes single step microwave assisted synthesis of Ag, Cu, and AgCu nanoparticles (NPs) produced using a modified polyol method. This synthesis route provides an enhanced alternative to conventional synthesis method as it leads to the formation of smaller and monodisperse metallic nanoparticles in a shorter time, thus decreasing the use and quantity of toxic reagents. UV-Vis analyses were carried out to confirm the presence of Ag and Cu in the nanoparticles. The NPs were characterized in terms of crystallinity through XRD, and morphology and nanoparticle size distribution by HRTEM. The antibacterial activity of the nanoparticles was tested against E. coli, Salmonella and S. Aureus, all of which are well known to be responsible of the most common foodborne illnesses. The nanoparticles were also tested against C.albicans to evaluate the nanoparticles effects against yeast. Although, the antibacterial properties of silver and copper nanoparticles have been extensively documented, this work evidences that AgCu bimetallic nanoparticles show a greater antibacterial effect when compared to Ag and Cu NPs by itself.

2. Materials and Methods

2.1. Optimum Temperature Co-Reduction Synthesis of Silver and Copper Nanoparticles

A modified polyol method was used to determine the optimum temperature of reduction (i.e. single Cu and AgNPs). Using ethylene glycol (anhydrous, 99.8%, Sigma-Aldrich) as solvent. The reaction mixture was prepared with Sodium Chloride 0.6 µM (ACS, ≥99%, Sigma-Aldrich), polyvinylpyrrolidone 0.005 µM (average mol wt 40,000, Sigma-Aldrich), Sodium Hydroxide 0.8 M (ACS Reagent, Sigma-Aldrich) and Silver Nitrate 1.6 µM (ACS, ≥99%, Sigma-Aldrich) to synthesize AgNP. Alternatively, for the CuNP synthesis, Copper Acetate 1.6 µM (99.99%, Sigma-Aldrich) was added to the mixture, instead of Silver Nitrate. The solutions were heated for 2 min at 155˚C, 160˚C, 165˚C, 170˚C, 175˚C, and 180˚C in a Teflon vessel using a laboratory microwave furnace Mars6 Xtraction, CEM with a power of 1000 W. The nanoparticles were coagulated using 2-propanol (Certified ACS; ≥99.5 Fisher Scientific) and dried for subsequent characterization.

2.2. Synthesis of Silver-Copper Nanoparticles

The co-reduction of Silver-Copper (so-called AgCu) were synthesized preparing a mixture of Sodium Chloride 1.2 µM (ACS, ≥99%, Sigma-Aldrich), polyvinylpyrrolidone 0.01 µM (average mol wt 40,000, Sigma-Aldrich), Sodium Hydroxide 1.6 M (ACS Reagent, Sigma-Aldrich), Silver Nitrate 1.6 µM (ACS, ≥99%, Sigma-Aldrich), and Copper Acetate 1.6 µM (99.99%, Sigma-Aldrich), using ethylene glycol (anhydrous, 99.8%, Sigma-Aldrich) as the solvent, resulting in an Ag:Cu = 1:1 molar ratio solution. The synthesis was performed in a laboratory microwave furnace Mars6 Xtraction, CEM with a power of 1000 W for 2 min at 175˚C. The obtained nanoparticles were coagulated using 2-propanol (Certified ACS; ≥99.5 Fisher Scientific).

2.3. Characterization Techniques

The crystal structure properties of the synthesized Ag, Cu, and AgCu nanoparticles were determined using powder X-ray diffraction (XRD, SIEMENS D 500 diffractometer with Cu-Kα radiation). For the AgCuNP, the crystalline structure was corroborated using a Rigaku XtalLab Supernova single-crystal X-ray Diffraction system with single micro-focus Cu source and Hypix Hybrid Array detection. The optical properties were analyzed performed UV-Vis absorption measurements using a Beckman DU 800 Spectrophotometer. The particle morphology and size distribution were determined by HRTEM (JEOL-2011 and JEM-ARM200F units). Elemental composition analysis of the AgCuNP was conducted using Energy Dispersive Spectroscopy (EDS) with an EDAX Si(Li) 30 mm2 energy dispersive X-ray spectroscopy detector.

2.4. Stability Test of Silver, Copper Nanoparticles and Copper-Silver Nanoalloy

To evaluate the stability of nanoparticles in suspension through time, the UV-Vis absorption properties of Ag, Cu, and AgCu nanoparticles, synthesized at 175˚C, in ethylene glycol were monitored every 24 hours for a period of 12 days. For AgNP, a characteristic plasmon peak was expected to be observed around 400 nm, and for Cu nanoparticles around 650 nm. Measurements were performed using a Beckman DU 800 Spectrophotometer.

2.5. Antimicrobial Assays

The antimicrobial capability of Ag, Cu and AgCu nanoparticles was evaluated against Gram-negative bacteria, Escherichia coli (ATCC 25922) and Salmonella typhimurium (ATCC 14020), Gram-positive bacteria Staphylococcus aureus (ATCC 25923), and a yeast, Candida albicans (ATCC 10211) using a broth microdilution method to determine the minimum inhibitory concentration (MIC) [18]. For this assay, nanoparticle suspensions at different concentrations (20 to 2200 µg/mL) were evaluated in 96-well microplates with a bacterial suspension of about 106 CFU/mL, incubated under agitation at 37˚C for 24 h. After the incubation period, a resazurin dye solution was added to the well plates and incubated at 37˚C for an additional 2 h. The MIC was qualitatively determined by the smallest concentration of nanoparticle at which the blue colored solution remained unchanged [19] [20].

To determine the minimum bactericidal concentration (MBC) [21], from each nanoparticle concentration for which absolute inhibition was observed, 1 µL of suspension was used to inoculate selective agar plates and incubate at 37˚C for 24 h. The MBC was determined as the nanoparticle concentration at which no bacterial growth was observed on the agar plate. The selective agars used were MacConkey Agar for Escherichia coli (E. Coli), SS Agar for Salmonella typhimurium (Salmonella), Baird Parker Agar for Staphylococcus aureus (S. aureus), and Sabdex Agar for Candida albicans (C. albicans).

3. Results and Discussion

3.1. Determination of Optimum AgCu Nanoalloys Synthesis Temperature

In order to establish the optimal temperature parameters, Cu, Ag and AgCu nanoparticles were synthesized at different temperatures ranging from 155˚C to 180˚C. Following the synthesis of the nanoparticles, UV-Vis analyses were carried out to confirm the presence of Ag and Cu metals in the nanoparticles. The UV-Vis absorption spectrum recorded for the silver nanoparticles (shown in Figure 1(b)), synthesized at temperatures 155˚ to 180˚ exhibited a maximum absorption peak at 406 nm attributed to the plasmon resonance characteristic of silver nanoparticles. UV-Vis analyses showed broader and red-shifted peaks at higher synthesis temperatures suggesting particle agglomeration and greater size distributions [22] [23]. The XRD patterns shown in Figure 1(a) demonstrated the formation of the face-centered cubic (FCC) silver crystalline structure in accordance with PDF No. 98-000-0398. The crystallite size of the AgNP, for each synthesis temperature, was calculated using the Debye-Scherrer relationship at the most intense peak by MDI/JADE software, which corresponds to the (111) plane (Table 1) [24] [25] [26] [27]. The obtained values demonstrated an increment in the nanoparticle’s crystallite size as synthesis temperatures increased.

CuNPs were also synthesized at temperatures ranging from 155˚C to 180˚C. However, only the syntheses performed at temperatures above 175˚C were successful at reducing Cu2+, evidenced by a change of color in the solution from blue to the red-wine [22] [28]. Since the copper standard potential reduction from Cu2+ to Cu0 is +0.34 V, whereas for silver reduction from Ag+ to Ag0 is +0.80 V, more energy is required to reduce copper nanoparticles [29]. UV-Vis absorption spectra, presented in Figure 2(b), shows a characteristic maximum absorption peak at 653 nm attributed to copper nanoparticle’s plasmon resonance [30]. The X-ray diffraction patterns of Figure 2(a) confirmed that the synthesized nanoparticles exhibited a copper FCC crystalline structure corresponding to PDF No 98-000-0172. The average crystallite size for CuNP was estimated at 14 nm for nanoparticles synthesized at both temperatures, as is shown in Table 2.

(a) (b)

Figure 1. (a) XRD patterns of AgNP synthesis from 155˚C to 180˚C. (b) UV-Vis absorption spectra of AgNP synthesis from 155˚C to 180˚C at two minutes heating time.

(a) (b)

Figure 2. (a) XRD patterns of CuNP synthesis from 175˚C to 180˚C. (b) UV-vis absorption spectra of CuNP synthesis from 175˚C to 180˚C.

Table 1. Unit-cell parameters and crystallite size of Ag NP for each synthesis temperature evaluated.

† These values were obtained using the Debye-Scherrer relationship by MDI/JADE software.

Table 2. Crystallite Size of CuNP determined using Scherrer Equation.

† These values were obtained using the Debye-Scherrer relationship by MDI/Jade software.

The previously discussed results from the synthesis of AgNP and CuNP indicate that the smallest nanoparticle size is obtained at a temperature of 175˚C. Consequently, the synthesis of AgCu bimetallic nanoparticles was performed at 175˚C in a single 2-minute step. The crystalline structure of the nanoparticles was confirmed by XRD measurements which evidences the presence of both Ag and Cu structures (Figure 3(a)). In the UV-Vis absorption spectrum (Figure 3(b)) a redshift in the absorption peak at 443 nm can be observed, which suggests the formation of an AgCu bimetallic type nanoparticle [31]. The average crystallite size was estimated at 12.89 ± 2.00 nm considering the peak at 2θ = 38.521 of Ag and 2θ = 44.761 of Cu, as it is shown in Table 3.

3.2. Stability Test of AgNP, CuNP and AgCuNP

The UV-Vis spectroscopy technique has been widely used to characterize metallic nanoparticles due to the surface plasmon resonance produced by the collective oscillations of the free conductive electrons at the nanoparticle’s surface. The electron’s vibration mode is related to the size distribution and shape of nanoparticles that produce an optical absorption in the UV-Vis region characteristic of the metal [32] [33] [34] [35] [36] As a result, the stability in the suspension of AgNP, CuNP, and AgCuNP over time, was evaluated by collecting their UV-Vis spectra for 12 days (aging time). UV-Vis measurements of the synthesized nanoparticle solution were done before the washing step (BW), in which nanoparticles are coagulated using 2-propanol. Also, after the washing step (AW), when the previously washed nanoparticles are resuspended in ethylene glycol, and every 24 hours for the following 12 days. Figure 4(a) shows the overlaid UV-Vis spectra of AgNP for the evaluated period, the absorbance peak intensity at 410 nm stays constant while its width becomes slightly wider over time, as shown in Figure 4(b). The absorbance peak wavelength redshifts from 410 to 432 nm suggests an increase in nanoparticle size distribution. In the case of CuNP, the UV-Vis spectra exhibit a characteristic peak at 583 nm (Figure 5(a)), this peak red-shifts to 628 nm at the end of the 12 days and its plasmon peak intensity decreases (Figure 5(b)). This suggests the decrease of the NP size and the amount of Cu0 by the Ostwald Ripening effect. It also suggests NP surface oxidation, and aggregation-precipitation of CuNP with aging time [37] [38]. The UV-Vis spectral overlay for AgCuNP (Figure 6(a)) shows peaks at 391 nm and 573 nm characteristics of the plasmon resonance of AgNP and CuNP, respectively. There were no changes observed in the shape of the spectra and wavelength peaks positions through time, evidencing the stability of the nanoparticles in suspension over these 12 days period (Figure 6(b)).

Table 3. Crystallite Size of AgCuNP determined using Scherrer Equation.

† These values were obtained using the Debye-Scherrer relationship by MDI/Jade software.

(a) (b)

Figure 3. (a) XRD patterns of AgCuNP synthesis at 175˚C. (b) UV-vis absorption spectra of AgCuNP synthesis at 175˚C.

(a) (b)

Figure 4. UV-Vis absorption spectral overlay for AgNP suspension over a period of 12 days. (a) shows a slight red-shift in wavelength through time, while the waterfall plot in (b) shows no changes in the shape of the spectra.

(a) (b)

Figure 5. UV-Vis absorption spectra of CuNP suspension through a period of 12 days. (a) Spectral overlay showing changes in peak height and peak wavelength. (b) Waterfall plot shows changes in spectral shape.

(a) (b)

Figure 6. UV-Vis absorption spectra of AgCuNP suspension through a period of 12 days. (a) Overlaid spectra showing changes in peak height and peak wavelength. (b) Waterfall plot showing changes in spectral shape.

3.3. HRTEM Analysis

HRTEM images of the synthesized AgNP are shown in Figure 7 and Figure 8, at 20 nm and 10 nm scale bar, respectively. The images reveal the spherical shape of the nanoparticles with an average diameter of 9.7 ± 4.5 nm and a narrow particle size distribution as evidenced by the histogram presented in Figure 7(b). The particle size distribution analyses were done using ImageJ software. The ED pattern in Figure 8(b) exhibits the FCC crystalline structure corresponding to Ag, indexed to the (111), (200), (220) and (222) planes. These results confirm the XRD pattern results obtained from the synthesized AgNP. Figure 9(a) and Figure 10(a) correspond to HRTEM images showing spherical crystalline CuNP with an average 7.3 ± 2.2 nm diameter. The size distribution analysis, shown in Figure 9(b), reveals that synthesized CuNP were smaller than the synthesized AgNP. The formation of CuNP was demonstrated by the corresponding ED pattern indexed to (111), (200), (220), and (311) planes related to the FCC crystalline structure of Cu, consistent with the XRD analysis. Comparatively, AgCuNP consisted of irregular-shaped nanoparticles (Figure 11(a) and Figure 12(a)) with an average size of 11.7 ± 3.8 nm (Figure 11(b)). Figure 12(b) shows the ED pattern results obtained after a mapping control using only carbon film. The measurements of the ring’s diameter were 0.238 nm corresponding to miller index (111) from 2θ = 38.114 degree for Ag, and 0.203 nm corresponding to miller index (111) from 2θ = 43.317 degree for Cu. The above results fully confirm the successful synthesis of nanoparticles with Ag and Cu metal composition.

(a) (b)

Figure 7. (a) HRTEM image of AgNP at 20 nm scale and (b) histogram of nanoparticle size distribution.

(a) (b)

Figure 8. (a) HRTEM image at 10 nm scale and (b) ED pattern of AgNP.

(a) (b)

Figure 9. (a) HRTEM image of CuNP at 20 nm scale and (b) Histogram of nanoparticle size distribution.

(a) (b)

Figure 10. (a) HRTEM image of CuNP at 10 nm scale and (b) ED pattern.

(a) (b)

Figure 11. (a) HRTEM image of AgCuNP at 20 nm scale and (b) histogram of nanoparticle size distribution.

(a) (b)

Figure 12. (a) HRTEM image at 5 nm scale and (b) ED pattern of AgCuNP.

3.4. EDX Analysis

To corroborate the chemical composition and particle distribution of Ag and Cu in the synthesized nanoparticles, EDX analysis was performed. Figure 13 shows the elemental mapping of AgCuNP (Figure 13(b)), which revels the homogeneous distribution of Ag (Figure 13(a)) and Cu (Figure 13(c)). The EDX elemental analysis demonstrates the presence of Ag and Cu in a single particle with an atomic percent composition of 51.74% of Cu and 48.26% of Ag with an Ag:Cu atomic ratio around 1:1, which is consistent with the molar ratio used in the synthesis. These results reaffirm the successful formation of an AgCuNP structure through a microwave synthesis time as short as two minutes (Figure 14).

3.5. Antimicrobial Assay

The minimum inhibitory concentration (MIC) is the lowest concentration at which an antimicrobial agent is able to inhibit microbial population growth, and the minimum bactericidal concentration (MBC) is the lowest concentration of an antimicrobial agent required to reduce the population at ≥99.9% from the initial inoculum population. Both concentrations are complementary, that is, if a MIC shows inhibition, plating the bacteria onto agar might still result in organism proliferation because the antimicrobial did not cause death, unlike the MBC that it does cause death [20] [39]. The MIC and MBC of AgNP, CuNP and AgCuNP were determined against Gram negative bacteria E. coli and Salmonella, Gram positive S. aureus, and a yeast C. albicans. The AgCuNP showed greater activity against E. coli (Figure 15(a)) with a MIC = 60 µg/mL and MBC = 300 µg/mL. Salmonella (Figure 15(c)) showed more sensitivity in presence of AgCuNP (MIC = 100 µg/mL and MBC = 100 µg/mL) and AgNP (MIC = 200 µg/mL

(a) (b) (c)

Figure 13. EDX-mapping of AgCuNP. (a) Ag Lα1 distribution, (b) Particle analyzed and c) Cu Kα1 distribution.

Figure 14. EDX elemental analysis.

(a) (b) (c) (d)

Figure 15. MIC and MBC values of Ag, Cu and AgCu NP against (a) E. coli and (b) S. aureus (c) Salmonella and (d) ‎C. albicans strain.

and MBC = 200 µg/mL), where AgCuNP was the best. As same as in the case of Gram-negative bacteria, AgCuNP exhibited the best antibacterial performance against S Aureus (Figure 15(b)), with MIC = 200 µg/mL and MBC = 200 µg/mL. In the case of C. albicans, CuNP showed the best results with MIC = 100 µg/mL and MBC = 1900 µg/mL. Whereas, for Ag and AgCu NP the MBC values could not be determined as bacterial growth was observed even at the maximum evaluated nanoparticle concentration (2200 µg/mL). The above results indicate that AgCuNP are more effective in inhibiting the growth of most of the studied microorganisms. It was evident that Salmonella showed an enhanced vulnerability to these nanoparticles. Differences in the composition and structure of the cell wall of bacteria and yeasts could explain the resistance of the yeast to the effect of nanoparticles. The bacterial cell wall structure is formed by lipopolysaccharides and peptidoglycan layer mainly, the Gram-positive bacteria has a thicker peptidoglycan layer than the Gram negative [40]. In a different way, the yeast cell wall is formed by an inner wall of β, 1-6 glucan, β, 1-3 glucan and chitin and an outer protein wall [41]. It has been reported that metallic nanoparticles are able to attach more easily to DNA and proteins [8] [13], which explains why the evaluated yeast was more resistant to the effect of AgNP and AgCuNP, which are more stable than CuNP, hence it would be easier for them to cross the yeast cell wall in an ionic state rather than its metallic state [42]. The MBC/MIC ratio has been denominated Tolerance by May, et al. 2006 [43] and Das, et al. 2017 [5]. When a tolerance value for bacteria is ≥16, the antimicrobial agent is considered bacteriostatic, and when the tolerance value is ≤4 the agent is considered bactericidal. Accordingly, a bacteriostatic agent just causes an inhibition of bacterial growth while a bactericidal agent kills bacteria [44] [45]. The tolerance values for AgNP, CuNP and AgCuNP were calculated and are shown at the right scale of Figures 15(a)-(c). From the calculated values, AgNP and AgCuNP demonstrated a bactericidal effect against all bacteria, whereas CuNP demonstrated a bactericidal effect against E. coli and S. aureus and a bacteriostatic effect against Salmonella. The bacteriostatic effect of CuNP can be explained by its antimicrobial mechanism, which has been previously reported in different studies [46]. Cu NP’s antibacterial effect is mainly triggered by the release of copper ions in aqueous solution which lead to the disruption of the bacteria’s cell membrane causing cell death.

4. Conclusion

This study presents the successful synthesis of Ag, Cu, and AgCu nanoparticles via two-minute single-step synthesis using a microwave-assisted heating route at 175˚C. Since silver and copper have different standard reduction potential energy values, several syntheses of Ag and Cu nanoparticles at temperatures ranging from 155˚C to 180˚C allowed the determination of the optimal synthesis temperature of AgCu nanoparticles. The synthesized nanoparticles were characterized, and results revealed the spherical shape of Ag and Cu nanoparticles with a crystallite size lower than 10 nm. AgCu nanoparticles exhibited an irregular shape and a crystallite size of 12 nm. The atomic percent composition was determined to be 51.74% of Cu and 48.26% of Ag, which correspond to a molar ratio of 2:1.5 of Ag:Cu, respectively. Further analyses indicated that AgCu nanoparticles have greater stability and a higher antibacterial effect against E. coli, S. aureus, and Salmonella typhimurium, generating a bactericidal effect at much lower concentrations than Ag and Cu nanoparticles. C. albicans exhibited greater susceptibility to Cu nanoparticles than Ag and AgCu nanoparticles due to rapid oxidation of Cu0 in aqueous environments. These results show the potential of AgCu nanoparticles to be used in a wide range of applications, from food packaging to wound care technologies. Further investigation that focuses on broadening the antimicrobial spectrum of AgCu nanoparticles is required to expand its range of possibilities for practical applications.


This work was financially supported by IFN Academic Fellowship of National Science Foundation under Grant No. 01002410. A portion of this work was performed at the National High Magnetic Field Laboratory, which is supported by the National Science Foundation Cooperative Agreement No. DMR-1644779 and the state of Florida. The single crystal X-ray micro-diffractometer was acquired through the support of the National Science Foundation under the Major Research Instrumentation Award Number CHE-1626103. The authors would like to acknowledge the support of Mr. Daniel Narvaez and the Center for Nanostructure Characterization at the University of Puerto Rico at Mayaguez.

Cite this paper: Reyes-Blas, M. , Maldonado-Luna, N. , Rivera-Quiñones, C. , Vega-Avila, A. , Roman-Velázquez, F. and Perales-Perez, O. (2020) Single Step Microwave Assisted Synthesis and Antimicrobial Activity of Silver, Copper and Silver-Copper Nanoparticles. Journal of Materials Science and Chemical Engineering, 8, 13-29. doi: 10.4236/msce.2020.88002.

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