# Terahertz Absorption Characteristics of the Sodium Carboxymethyl Cellulose Colloid Based on Microfluidic Technology

Authors: Chenxin Ding; Bo Su; Guoyang Wang; Qinghao Meng; Jiahui Wang; Cunlin Zhang
Journal: International Journal of Optics
 (2021)

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## Abstract

Sodium carboxymethyl cellulose is a type of macromolecular chemical substance that is widely used in the industry for food thickening. In this study, terahertz and microfluidic technologies were combined, and a microfluidic chip with a channel depth of 50μm was fabricated to carry samples. The terahertz characteristics of the sodium carboxymethyl cellulose colloid were studied at different concentrations and applied electric fields. The obtained results showed that different concentrations of sodium carboxymethyl cellulose have different time-domain spectra; with an increase in concentration, the terahertz transmittance of sodium carboxymethyl cellulose decreased. Under the applied electric field treatment, the longer the electric field acting time is, the higher the terahertz transmission intensity is. This approach is a safe and reliable new method for the determination of sodium carboxymethyl cellulose concentration, which provides technical support for the in-depth study of sodium carboxymethyl cellulose.


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## Body

## 1. Introduction

Terahertz (THz) is the electromagnetic radiation in the frequency range of 0.1–10 THz and the wavelength range of 30μm–3 mm. The THz region is between the infrared and microwave regions, and it has not been fully exploited. One advantage of THz technology arises from the low-energy photons of THz waves, which range from less than 1 meV to a few tens of meV [1]. Because the THz wavelength is long and the energy is low, it does not ionize the sample and can be used for nondestructive testing of materials; thus, the use of THz waves for material testing has the advantages of safety and reliability. The characteristic vibration modes of many chemical reagents and biological macromolecules (such as proteins or DNA) and sugars happen to be in the THz range [1–7]. This characteristic provides a reliable basis for the study of some macromolecules using THz technology. With the development of THz technology, its application field and scope are wider. Wu et al. [2] studied the characteristics of four electrolyte solutions (i.e., KCl, KBr, MgCl2, and CaCl2) in the range of 0.1–1.0 THz using THz technology. It is determined that different electrolytes can cause association and destruction of hydrogen bonds in water, which affects the THz absorption of water. Nishizawa et al. [3] measured the THz absorption spectra of 20 amino acids. Yu et al. [4] studied the temperature characteristics of four amino acids at room temperature and 250, 200, 150, 100, 70, 40, 10, and 4.5 K. The obtained results showed that the response of the THz spectra of aliphatic and aromatic amino acids to temperature was different. Fan et al. [5] studied different concentrations of potassium chloride and potassium iodide solutions and determined that the THz transmittance of potassium chloride solution decreased with an increase in concentration, whereas that of potassium iodide solution increased. Currently, some progress has been made in using THz technology to detect differences in the molecular structure, and quantitative studies have been made on the properties of different chemical reagents varying with temperature. However, the exploration of concentration is limited to solutions, and there are fewer studies on colloids.In production and life, many substances are liquid. Most detection methods of liquid samples use a labelling method or introduce another reagent; however, these methods have a major flaw; that is, they cause irreversible damage and contamination to the samples. Additionally, it is relatively difficult to study the THz transmission spectrum of liquid samples owing to the strong absorption of THz radiation by water. There are two main ways to solve this problem: either use high-power laser or reduce the amount of test samples. However, the cost of increasing the power is high, and the feasibility is low. Therefore, reducing the sample amount is the optimal solution. Microfluidic technology can make the depth of a microchannel reach the order of microns. Thus, the distance between THz wave and water becomes smaller, and the absorption of water to THz wave is reduced. Simultaneously, the practical sample amount is preserved [6]. Using quartz and polydimethylsiloxane (PDMS), Han et al. [7] developed a microfluidic chip to measure the THz transmittance of water. The obtained results showed that the absorption coefficient of water monotonically increases with an increase in frequency in the frequency range from 0.2 to 1 THz. Leclerc et al. [8] explored a direct and fast method to manufacture a microfluidic chip system using a polystyrene plate and computer micromachining technology. Alfihed et al. [9] used the THz technology to detect various copolymers (e.g., PDMS, polycarbonate, and polyethylene terephthalate) and obtained stable THz absorption coefficient of polyethylene at a certain THz frequency, which showed the viability of the development of microfluidic technology.Sodium carboxymethyl cellulose (CMC-Na) can be used as an adhesive in industrial production, a thickening agent in food, and a flocculant in sewage treatment. Control of concentration is essential in preparation and use. In the past, electrochemistry, osmotic pressure, and other methods were used to detect colloidal concentration. These methods not only destroyed samples but also required a relatively long time for detection. In this study, microfluidic and THz technologies were combined to explore different concentrations of the CMC-Na colloid, and the feasibility of the method was confirmed. Additionally, the THz absorption characteristics of CMC-Na were tested under the applied electric field treatment.


## 2. Experimental System and Devices

### 2.1. Light Path System

This experimental system uses a photoconductive antenna to generate and detect THz waves. The core component of the entire system is a femtosecond fibre laser with a central wavelength of 1550 nm, a pulse repetition frequency of 100 MHz, and an output power of 130 mW. The laser beam is divided into two beams after passing through the half-wave plate and PBS crystal. A beam of pump light is coupled into a fibre-optic photoconductive antenna (BPCA-100-05-10-1550-C-F) through a mechanical translation platform to generate THz waves. The other beam, as detection light, is coupled into a fibre-optic photoconductive antenna (Batop BPCA-180-05-10-1550-C-F) to detect THz waves. Samples of different concentrations were injected into the microfluidic chip and placed vertically between two off-axis parabolic mirrors with a diameter of 50 mm. The diameter of the THz spot on the microfluidic chip is 3 mm. After passing through the microfluidic chip, the THz wave generated by the photoconductive antenna carries the sample information, which is then detected by the detection antenna. Finally, the signal is amplified by the phase-locked amplifier, and the data are collected and processed by using the computer. The experimental optical path system is shown in Figure1.Figure 1
Experimental light path system diagram.


### 2.2. Fabrication of the Microfluidic Chip

The materials used for microfluidic chips usually include quartz crystal, polyethylene, and cycloolefin copolymer (COC). Polyethylene is opaque to visible light, so it is not easy to observe the amount of liquid in the chip. The terahertz transmittance of the quartz crystal is 90% [10, 11]. However, COC has a stable THz absorption and a high transmittance of more than 96% with frequency variation [12], which makes it the best material for the microfluidic chip.In this study, two COC plates (4 cm × 4 cm × 0.2 cm) were used as the substrate and cover of the microfluidic chip, and there were liquid inlet and outlet ports on the substrate and cover, respectively. A strong double-sided adhesive with a thickness of 50μm was used to bond the microfluidic chip. The middle of the double-sided adhesive tape is made into a hollow pattern according to the shape of the groove so that the hollow part in the bonding process forms the groove of the microfluidic chip, and the size of the groove is 3 cm × 1 cm × 50 μm. The fabrication of the microfluidic chip is shown in Figure 2.Figure 2
Schematic diagram of the microfluidic chip: (a) schematic diagram of the preparation process; (b) chip top view.
(a)(b)


### 2.3. Applied Electric Field Device

The schematic diagram of the applied electric field device used in this study is shown in Figure3. A high-voltage power supply (DW-P153-0.5C51) is used to generate a uniform electric field through two metal plates parallel to each other. The electric field size is about 8270 V/cm. The microfluidic chip is placed between two metal plates for different times of electric field processing, and then the two metal plates are removed, and the THz-TDS system is used for transmission detection of the microfluidic chip.Figure 3
Schematic diagram of the applied electric field device.


### 2.4. Preparation of the CMC-Na Colloid

To eliminate the interference of other ions in water, this experiment used deionized water to prepare the CMC-Na colloid. The CMC-Na powder was weighed with an electronic scale (0.01 g accuracy), and the appropriate proportion of deionized water was measured in a measuring cylinder. After mixing in a beaker, heating in a water bath at 50°C, and stirring with a glass rod, four types of the uniform CMC-Na colloid were prepared at concentrations of 0.5%, 1%, 1.5%, and 2%. Because CMC-Na has thermal stability below 80°C, the water bath will not destroy the characteristics of CMC-Na but will make the preparation of the colloid faster.


## 2.1. Light Path System

This experimental system uses a photoconductive antenna to generate and detect THz waves. The core component of the entire system is a femtosecond fibre laser with a central wavelength of 1550 nm, a pulse repetition frequency of 100 MHz, and an output power of 130 mW. The laser beam is divided into two beams after passing through the half-wave plate and PBS crystal. A beam of pump light is coupled into a fibre-optic photoconductive antenna (BPCA-100-05-10-1550-C-F) through a mechanical translation platform to generate THz waves. The other beam, as detection light, is coupled into a fibre-optic photoconductive antenna (Batop BPCA-180-05-10-1550-C-F) to detect THz waves. Samples of different concentrations were injected into the microfluidic chip and placed vertically between two off-axis parabolic mirrors with a diameter of 50 mm. The diameter of the THz spot on the microfluidic chip is 3 mm. After passing through the microfluidic chip, the THz wave generated by the photoconductive antenna carries the sample information, which is then detected by the detection antenna. Finally, the signal is amplified by the phase-locked amplifier, and the data are collected and processed by using the computer. The experimental optical path system is shown in Figure1.Figure 1
Experimental light path system diagram.


## 2.2. Fabrication of the Microfluidic Chip

The materials used for microfluidic chips usually include quartz crystal, polyethylene, and cycloolefin copolymer (COC). Polyethylene is opaque to visible light, so it is not easy to observe the amount of liquid in the chip. The terahertz transmittance of the quartz crystal is 90% [10, 11]. However, COC has a stable THz absorption and a high transmittance of more than 96% with frequency variation [12], which makes it the best material for the microfluidic chip.In this study, two COC plates (4 cm × 4 cm × 0.2 cm) were used as the substrate and cover of the microfluidic chip, and there were liquid inlet and outlet ports on the substrate and cover, respectively. A strong double-sided adhesive with a thickness of 50μm was used to bond the microfluidic chip. The middle of the double-sided adhesive tape is made into a hollow pattern according to the shape of the groove so that the hollow part in the bonding process forms the groove of the microfluidic chip, and the size of the groove is 3 cm × 1 cm × 50 μm. The fabrication of the microfluidic chip is shown in Figure 2.Figure 2
Schematic diagram of the microfluidic chip: (a) schematic diagram of the preparation process; (b) chip top view.
(a)(b)


## 2.3. Applied Electric Field Device

The schematic diagram of the applied electric field device used in this study is shown in Figure3. A high-voltage power supply (DW-P153-0.5C51) is used to generate a uniform electric field through two metal plates parallel to each other. The electric field size is about 8270 V/cm. The microfluidic chip is placed between two metal plates for different times of electric field processing, and then the two metal plates are removed, and the THz-TDS system is used for transmission detection of the microfluidic chip.Figure 3
Schematic diagram of the applied electric field device.


## 2.4. Preparation of the CMC-Na Colloid

To eliminate the interference of other ions in water, this experiment used deionized water to prepare the CMC-Na colloid. The CMC-Na powder was weighed with an electronic scale (0.01 g accuracy), and the appropriate proportion of deionized water was measured in a measuring cylinder. After mixing in a beaker, heating in a water bath at 50°C, and stirring with a glass rod, four types of the uniform CMC-Na colloid were prepared at concentrations of 0.5%, 1%, 1.5%, and 2%. Because CMC-Na has thermal stability below 80°C, the water bath will not destroy the characteristics of CMC-Na but will make the preparation of the colloid faster.


## 3. Experimental Procedures

### 3.1. THz Transmission Characteristics of the CMC-Na Colloid at Different Concentrations

The CMC-Na colloid was injected into the microfluidic chip with a syringe through the liquid inlet and placed vertically in the middle of the off-axis parabolic mirror of the THz time-domain spectroscopy (THz-TDS) system. To avoid differences caused by different microfluidic chips, in this experiment, the same microfluidic chip was used for the detection of colloid with different concentrations. After each detection was completed, another syringe was used to absorb distilled water and inject it through the liquid inlet to wash the microfluidic chip repeatedly. Air is then injected into the chip, distilled water is expelled, and the next sample to be tested is injected. The detection was carried out in the order of distilled water, 0.5%, 1%, 1.5%, and 2% concentrations. The path of the microfluidic chip in the beam was removed and repositioned, and each concentration was measured three times. Each concentration of the colloid is reinjected into the microfluidic chip, and the above procedure is repeated. Figure4 shows the THz time-domain spectra of CMC-Na colloids with different concentrations. It can be seen that the amplitudes of the THz time domain decrease with the increase of THz concentration. The error of this study is analyzed by taking the 0.5% concentration colloid as an example. As shown in Figure 5, the difference between colloids is greater than the standard deviation of repeated measurements (repeatability). As shown in Figure 6, the difference between repeated injections of the same sample is greater than the standard deviation of repeated injections (reproducibility). All the samples of concentration in this study satisfied the above rules, which indicated the validity of the data.Figure 4
THz time-domain spectra of the CMC-Na colloid at different concentrations.Figure 5
Repeatability error analysis.Figure 6
Error analysis of repeated injection of the same sample.


### 3.2. Effect of the Applied Electric Field on the THz Transmission Characteristics of the CMC-Na Colloid

The 1% CMC-Na colloid was injected into the microfluidic chip. Under the condition of continuous external electric field, after 10 minutes, the microfluidic chip was detected for the first time, and then after 20 minutes, the microfluidic chip was detected again. Figure7 shows the time-domain spectra. It is determined that, with an increase in the applied electric field action time, the intensity of the time-domain spectra increases, which indicates that the addition of electric field changes the transmission characteristics of the THz wave.Figure 7
Time-domain spectra of the THz transmission intensity of the CMC-Na colloid located in an electric field for different times.


## 3.1. THz Transmission Characteristics of the CMC-Na Colloid at Different Concentrations

The CMC-Na colloid was injected into the microfluidic chip with a syringe through the liquid inlet and placed vertically in the middle of the off-axis parabolic mirror of the THz time-domain spectroscopy (THz-TDS) system. To avoid differences caused by different microfluidic chips, in this experiment, the same microfluidic chip was used for the detection of colloid with different concentrations. After each detection was completed, another syringe was used to absorb distilled water and inject it through the liquid inlet to wash the microfluidic chip repeatedly. Air is then injected into the chip, distilled water is expelled, and the next sample to be tested is injected. The detection was carried out in the order of distilled water, 0.5%, 1%, 1.5%, and 2% concentrations. The path of the microfluidic chip in the beam was removed and repositioned, and each concentration was measured three times. Each concentration of the colloid is reinjected into the microfluidic chip, and the above procedure is repeated. Figure4 shows the THz time-domain spectra of CMC-Na colloids with different concentrations. It can be seen that the amplitudes of the THz time domain decrease with the increase of THz concentration. The error of this study is analyzed by taking the 0.5% concentration colloid as an example. As shown in Figure 5, the difference between colloids is greater than the standard deviation of repeated measurements (repeatability). As shown in Figure 6, the difference between repeated injections of the same sample is greater than the standard deviation of repeated injections (reproducibility). All the samples of concentration in this study satisfied the above rules, which indicated the validity of the data.Figure 4
THz time-domain spectra of the CMC-Na colloid at different concentrations.Figure 5
Repeatability error analysis.Figure 6
Error analysis of repeated injection of the same sample.


## 3.2. Effect of the Applied Electric Field on the THz Transmission Characteristics of the CMC-Na Colloid

The 1% CMC-Na colloid was injected into the microfluidic chip. Under the condition of continuous external electric field, after 10 minutes, the microfluidic chip was detected for the first time, and then after 20 minutes, the microfluidic chip was detected again. Figure7 shows the time-domain spectra. It is determined that, with an increase in the applied electric field action time, the intensity of the time-domain spectra increases, which indicates that the addition of electric field changes the transmission characteristics of the THz wave.Figure 7
Time-domain spectra of the THz transmission intensity of the CMC-Na colloid located in an electric field for different times.


## 4. Results and Discussion

Owing to the hydrogen bonds between water molecules, water strongly absorbs THz waves. The formation process of hydrogen bonds is as follows. A hydrogen atom is covalently bonded to the highly electronegative and small-radius atomX, and the electron cloud near the hydrogen atom is shifted toward the X atom, which causes the hydrogen atom to appear almost as a proton. In this case, there are no inner electrons, and the hydrogen atom with a partial positive charge forms an electrostatic force with a negative electron cloud surrounding the Y atom. This electrostatic force is called a hydrogen bond. There are many carboxyl groups (-COOH) and hydroxyl groups (-OH) in CMC-Na macromolecules [13], and carboxyl and hydroxyl groups can form hydrogen bonds with water molecules [14]. A new hydrogen bond was formed between the CMC-Na macromolecule and the water molecule, which reduced hydrogen bonding between water molecules. In addition to carboxyl and hydroxyl groups, there is also Na+ in the CMC-Na colloid. Wang et al. [15] studied the effect of ions on the structure of water, related the influence of ions on the structure of water to the viscosity coefficient, and analyzed the influence degree of different ions on the structure of water, among which Na+ had little influence on the structure of water. Therefore, in this study, the influence of Na+ can be excluded. Sun [14] studied the influence of hydrophobic and hydrophilic groups on the water structure by Raman spectroscopy, and the obtained results showed that adding hydrophilic groups affected hydrogen bonds in water. Wen et al. [16] determined that a hydrogen bond could be formed between CMC-Na and silk fibroin protein, which reduced hydrogen bonding between silk fibroin protein molecules. Liu et al. [17] determined that, in the blending process of CMC-Na and wool keratin, owing to the interaction of the hydrogen bond, the intramolecular hydrogen bond force of keratin was reduced. Therefore, it can be preliminarily recognised that, with an increase in colloid concentration, the number of newly formed hydrogen bonds between CMC-Na molecules in a colloid and water molecules increases, which results in the variation of the THz transmission spectrum with concentration.Several authors [18, 19] have calculated the refractive index and absorption coefficient of the sample using the THz-TDS system using the Kramers–Krönig relation:(1)n1ω=cφωdω+1,(2)nSω=1−cφωdω,(3)αs=2dlnnsn1+12ρω⋅n1+ns2.Equation (1) is used to calculate the refractive index of COC. Equation (2) is used to calculate the sample refractive index. Equation (3) is used to calculate the sample absorption coefficient. ns is the sample refractive index; c is the speed of light; φ(ω) and ρ(ω) are the phase ratio and amplitude ratio of the sample and reference signal given by the THz-TDS system, respectively; αs is the absorption coefficient of the sample; n1 is the COC refractive index in this study; and d is the sample thickness. The THz absorption coefficient of the CMC-Na colloid at different concentrations can be obtained using the aforementioned equation (3), as shown in Figure 8. The terahertz absorption coefficient of water in this study is basically consistent with that of Kindt and Schmuttenmaer [20] and Son et al. [21]. It can be seen that the absorption coefficient increases with an increase in colloid concentration, which is consistent with the result that the higher the colloid concentration, the lower the THz transmission in the aforementioned experiment.Figure 8
THz absorption coefficients of the CMC-Na colloid at different concentrations.In this study, the applied electric field has an effect on the THz transmission intensity. The longer the time of the applied electric field, the higher the THz transmission intensity of the CMC-Na colloid. The applied electric field can reduce hydrogen bonding and increase the diffusion coefficient of water molecules [22]. Therefore, it can be preliminarily concluded that the applied electric field reduces the effect of hydrogen bonding in the sample, and the THz absorption is weakened; thus, the THz transmission intensity increases with the increase of the applied electric field time.


## 5. Conclusions

In this study, the THz absorption characteristics of the CMC-Na colloid at different concentrations were explored by combining microfluidic technology with THz technology. Through the analysis of the quartz crystal, polyethylene, and COC, this study selected COC to make the microfluidic chip and detected the CMC-Na colloid of different concentrations. The obtained results show that the intensity of the THz time-domain spectrum decreases with an increase in the CMC-Na colloid concentration. It is preliminarily believed that CMC-Na molecules in the colloid form hydrogen bonds with water molecules, which reduce hydrogen bonding between water molecules. The applied electric field breaks hydrogen bonds in the aqueous solution and weakens the vibration of polar molecules, which weakens THz absorption and enhances sample transmission. The material of the microfluidic chip in this study has high terahertz transmittance, and the preparation method of the microfluidic chip is simple, which has a wide application prospect in the study of liquid biological samples. The introduction of an external electric field improves the transmission intensity of the terahertz wave, provides a reference method for improving the detection sensitivity of terahertz technology, and plays a positive role in expanding the application range of terahertz technology.



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*Source: 5555325-2021-09-06.xml*