TPPS₄—Sensitized Photooxidation of Micropollutants—Singlet Molecular Oxygen Kinetic Study

Abstract

Visible light-sensitized oxidation of micropollutants (MPs) in the presence of meso-tetrakis(4-sulfonatophenyl)porphyrin photosensitizers was studied. In order to explore the role of type I (ROS generation) or type II (singlet oxygen) photooxidation, radical scavengers were used to obtain insight into the mechanism of photodegradation. It was revealed that singlet oxygen is the main ROS taking part in TPPS₄- sensitized photooxidation of micropollutants. The interaction of MPs with ¹O₂ in deuterium oxide (D₂O) was investigated by measuring the phosphorescence lifetime of ¹O₂. The rate constant (kq) for the total (physical and chemical) quenching of ¹O₂ by MPs was determined in a D₂O buffer (pD 7, 9 and 10.8). The rate constants of singlet oxygen quenching and reaction with MPs were determined, and the rate constant of excited TPPS₄ quenching by MPs was also estimated.

1. Introduction

The importance of singlet oxygen reaction has been recognized in many areas, including medicine, biochemistry, organic chemistry, food chemistry, and environmental engineering. Molecular oxygen possesses two unpaired electrons with parallel-directed spins in its basic state (Figure S1). Due to spin, ground-state oxygen is a triplet molecule, denoted as ³O₂. The supply of energy greater than 94.2 kJ/mol to the oxygen molecule causes the rearrangement of electrons, which leads to their pairing, and the resultant spin of the molecule is zero. Changing the electronic configuration causes the singlet state ¹O₂ to be reached. Two different singlet oxygen forms are recognized (Figure S1), sigma singlet oxygen (¹Σg⁺O₂) (157 kJ/mol, 13,121 1/cm), and ¹ΔgO₂ delta singlet oxygen (94.2 kJ/mol, 7882 1/cm) [1]. However, ¹Σg⁺O₂ is a molecule that is quickly deactivated to the more stable form delta. Singlet oxygen is not a free radical; it reacts with non-reactive singlet molecules that have double bonds [2]. Chemical, enzymatic, and photochemical reactions can lead to singlet oxygen generation; however, photosensitization (photooxidation) is the most successful due to the applicability of readily available oxygen and visible light for the reaction. Several methods for identifying the type of photosensitized oxidation and, hence, singlet oxygen can be used. The first strategy is to study the effects of additives on light-initiated photochemical processes (e.g., adding sodium azide, ascorbic acid, or tryptophan to the reaction system should stop the reaction). The second method is based on the determination of known reaction products with ¹O₂ with selected compounds: tryptophan bleaching reactions [3]; the formation of nitroxyl radicals in reactions with sterically shielded amines—detection employing electronic paramagnetic resonance (EPR) [4]; the disappearance of disodium salt of 9,10-anthracenedipropionic acid (ADPA) measured spectrophotometrically at a wavelength equal to 400 nm [5]; and secondary RNO (p-nitro-NN-dimethylaniline) bleaching activated by reactions of singlet oxygen with histidine or imidazole [6]. A third approach is based on the direct detection of reactive species formed by the action of an excited sensitizer, e.g., direct detection of singlet oxygen. The deactivation of a single ¹O₂ molecule to the ground state is accompanied by the emission of electromagnetic radiation (Equation (1)), while two simultaneous electronic transitions (at 634 nm and 703 nm) can be detected during the collision of two ¹O₂ molecules (Equation (2)). The measurement of ¹O₂ phosphorescence (~1270 nm) is a specific method for its detection. Thus, the singlet oxygen emission band can be considered a kind of singlet oxygen “fingerprint,” since no other molecule shows luminescence in this range. This is probably because only a few molecules have such low values of energy states of excited molecules with transition energies similar to oxygen. The detection of singlet oxygen by phosphorescence can be carried out using time-resolved techniques or by the method of stationary emission measurement. In the time-resolved method, the photosensitizer is usually excited by a pulsed laser. The stationary method is generally used to determine the presence of singlet oxygen, while the time-resolved method can additionally determine the singlet oxygen lifetime (τ∆).

$${}_{}{}^{1}O{}_2\stackrel{}{\to }{}_{}{}^{3}O{}_2+h{v}_{1270 nm}$$

(1)

$$2{}_{}{}^{1}O{}_2\stackrel{}{\to }2{}_{}{}^{3}O{}_2+h{v}_{1_{634 nm}}+h{v}_{2_{703 nm}}$$

(2)

In the gas phase, the lifetime of singlet oxygen 1Δg oscillates within 65 min, while the lifetime of ¹Σg⁺ is only about 7 s [7]. In aqueous solutions (H₂O), singlet oxygen lifetime is even lower (¹Σg⁺ ~10–12 s, while ¹ΔgO₂ is 3.3 μs) [8]. Understanding the possibility of ¹O₂ quenching processes (Figure 1) allows for determining the reaction mechanism and processes competing with photochemical reactions. In the liquid phase, the dominant process of singlet oxygen deactivation is physical quenching related to the structure of the solvent (Table S1). As a result of specific interactions with solvent hydrogen atoms, ¹ΔgO₂ returns to the ground state in a non-radiative way. The solvent acts as an energy acceptor in collisions with singlet oxygen. Thus, the phenomenon of the physical quenching of ¹O₂ by the solvent is always present during the conducted reactions, and, therefore, the value of the rate constants of the physical quenching by the solvent (k_d) is always included in the kinetic calculations.

Singlet oxygen can also interact with other compounds in the reaction mixture undergoing many quenching processes, which affect the efficiency of ¹O₂ formation (Figure 1). The interaction of ¹O₂ with molecules by transferring the excitation energy resulted in returning to the ground triplet state. It is expected that ¹O₂ enters into chemical reactions with molecules, and the quencher reacts with singlet oxygen to give the reaction product (chemical quenching, Equation (3)). During physical quenching, only singlet oxygen is deactivated without the consumption of molecular oxygen and product formation (Equation (4)).

$$Q+{}_{}{}^{1}O{}_2\stackrel{k_r}{\to }P$$

(3)

$$A/Q+{}_{}{}^{1}O{}_2\stackrel{k_q}{\to }{}_{}{}^{3}O{}_2+A/Q$$

(4)

Singlet oxygen, as a strong electrophile, readily reacts with electron pairs held by heteroatom centers. Many physical singlet oxygen quenchers are acceptors, including amines, phenols, thiols, benzene derivatives, organic transition metal complexes, inorganic anions (azides, iodides, bromides), and 1,4-diazobicyclo [2.2.2] octane (DABCO). In biological systems, β-carotene and lycopene are most commonly used as physical quenchers for singlet oxygen [9,10]. As chemical quenchers, MPs are included. The singlet oxygen quench rate constants with physical and chemical quenchers are shown in Table S2.

One of the key factors of ¹O₂ reactivity with MPs is the effect of pH. The change in reaction pH will affect dissociation of the MPs, which is given by the dissociation constant (pKa). It is known that when pH < pKa, MPs are predominantly in their undissociated forms, while at pH > pKa, dissociated forms are dominating. Similarly, at pH below pKa, the phenols exist in protonated form, while at pH above pKa they predominantly dissociate to phenolate ions [11]. Moreover, ¹O₂ reacts most easily with compounds in an anionic form Miller, 2005 [12]. This is probably associated with a single electron transfer reaction on the dissociated OH functional group and at the same time ¹O₂ addition to the benzene ring [11,13,14]. While phenolic compounds undergo only ¹O₂ addition [13].

The present investigation deals with the kinetics of the oxidation reactions of three micropollutants (butylparaben, benzylparaben and 2-chlorophenol) photosensitized by TPPS₄ in aqueous solutions. The effect of ROS on reaction is discussed based on scavenger experiments with NaN₃, SOD and t-BuOH. The main role of singlet oxygen was established by the application of time-resolved spectroscopy. The rate constants for singlet oxygen quenching by MPs were determined.

2. Results

It is known that various reactive oxygen species can be produced during photosensitized oxidation reactions. According to the Type I mechanism, hydroxyl radicals (^●OH) or superoxide anion radicals (O₂^●−) can be generated. The Type II photosensitized oxidation mechanism produces singlet oxygen (¹O₂) [14]. To establish the reaction mechanism with the selected micropollutants, scavengers reacting with reactive oxygen species were applied. Firstly experiments with sodium azide (NaN₃), a physical singlet oxygen quencher, were performed. It is known that NaN₃ deactivates ¹O₂ according to reaction (5) and is characterized by a high ¹O₂ quenching constant [15].

$$N_3^{-}+{}_{}{}^{1}O{}_2 \stackrel{k_q=2.0\times {10}^{9}d{m}^3/mo{l}^{}{s}^{}}{\to }{N}_3^{•}+{}_{}{}^{3}O{}_2$$

(5)

Secondly, the involvement of ^●OH radical was investigated. For this purpose, the possibility of ^●OH scavenging by tert-butanol (t BuOH) according to reaction 6 was examined.

$${}_{}{}^{●}OH+C\left(C{H}_3\right)OH\stackrel{k_{}=6.0\times {10}^{8}d{m}^3/mo{l}^{}{s}^{}}{\to }{H}_{2}O+{}_{}{}^{●}C{H}_2{(C{H}_3)}_{2}COH$$

(6)

Additionally, it was also examined whether a superoxide anion radical was present in the solution. It is known that O₂^●− in the reaction of disproportionation catalyzed by superoxide dismutase (SOD) is reduced to hydrogen peroxide and oxidized to molecular oxygen according to reaction 7 [16,17]:

$$O_2^{● -}+O_2^{● -}+2H^{+}\stackrel{SOD, k_{}=2.0\times {10}^{9}d{m}^3/mo{l}^{}{s}^{}}{\to }{H}_2{O}_2+{}_{}{}^{3}O{}_2$$

(7)

As shown in Figure 2, it can be concluded that the application of NaN₃ inhibited the decay of the reaction in all cases. The addition of t-BuOH and SOD did not affect the degradation rate of BuP, BeP, and 2-CP. The experiments with t-BuOH and SOD excluded the radical mechanism, showing that the reaction solution lacked ^●OH and O₂^●−. On the other hand, the presence of NaN₃ in the solution confirmed the oxidizing effect of singlet oxygen in relation to the selected micropollutants. The NaN₃ presence inhibited the reaction to the level of direct photolysis of MPS (Figure 2). Based on the above experiments, it can be concluded that the decay of MPs concentration occurs as a result of the action of singlet oxygen (TYPE II) and, to a small extent (that can be neglected), photolysis.

2.1. Time Resolve Spectroscopy Measurements

Using the Stern–Volmer equation, the values of the rate constants of the physical and chemical quenching of ¹O₂ by MPs (k_t—Equation (8)), the rate constant of the physical quenching of the triplet state of the ³TPPS₄ by molecular oxygen (k_q^3O2—Equation (9)), and the rate constants of the physical quenching of the ³TPPS₄ by MPs (k_q^MPs Equation (10)) were determined.

$${\tau }_{{}_{}{}^{1}O{}_2}^{-1}={\tau }_{0{}_{}{}^{1}O{}_2}^{-1}+k_t^{MPs}{C}_{MPs}^0$$

(8)

$${\tau }_{{}_{}{}^{3}TPP{S}_4}^{-1}={\tau }_{0{}_{}{}^{3}TPPS4}^{-1}+k_q^{{}_{}{}^{3}O{}_2}{C}_{{}_{}{}^{3}O{}_2}^0$$

(9)

$${\tau }_{{}_{}{}^{3}TPP{S}_4}^{-1}={\tau }_{0{}_{}{}^{3}TPPS4}^{-1}+k_q^{MP{s}_{}}{C}_{{}_{}{}^{3}O{}_2}^0$$

(10)

where: τ—phosphorescence lifetime without quencher, τ₀—lifetime of phosphorescence with a quencher, and k_q—quenching constant.

As mentioned above, one of the most important quenchers of the triplet form of photosensitizer is molecular oxygen. To determine the k_q^3O2 constant quenching rate, experiments were carried out in D₂O under conditions of different oxygen concentrations. The concentration of dissolved oxygen in the water was respectively 1.4 mmol/dm³ in a solution saturated with oxygen, 0.28 mmol/dm³ in a solution saturated with air, and 0 mmol/dm³ in a solution saturated with argon. The quenching rate constant of the triplet form TPPS₄ by molecular oxygen was determined as k_q^3O2 = (1.77 ± 0.05) × 10⁹ dm³/mol s (Figure 3A). This value is consistent with that reported in the literature: 1.8 × 10⁹ dm³/mol s [18], (1.5 ± 0.1) × 10⁹ dm³/mol s [19] and (2.2 ± 0.1) × 10⁹ dm³/mol s [20].

The influence of BuP, BeP, and 2-CP on triplet TPPS₄ was also investigated. The experiments were conducted at pD 7 and 10.8. It was found that in a neutral environment, only the presence of BuP caused quenching of TPPS₄ triplet form with the reaction rate constant k_q^BuP(7) = (1.2 ± 0.5) × 10⁶ dm³/mol s, while, in the alkaline environment, no significant differences were observed in the presence of BuP, BeP, and 2-CP compared to the phosphorescence signal of the excited form of TPPS₄ without any quencher (Figure 3B). It can therefore be assumed that the impact of the quenching is negligible.

The singlet oxygen quenching process by the MPs was performed in deuterium water at various pD values of 7, 9, and 10.8. It has been already discussed that the lifetime of singlet oxygen is highly solvent-dependent. In D₂O, ¹O₂ has a lifetime of about 12 to 20 times higher than in H₂O [15,21]. In this study, the lifetime of ¹O₂ in D₂O was equal to 52 ± 3 μs. The k_t values for each compound were determined using the Stern–Volmer Equation (8). The results are presented in Figure 4 and

Table 1. Bimolecular quenching rate constants (physical and chemical) k_q^t of quenching of ¹O₂ in different pD by MPs.

pH 7
kt, dm3/mol s	BuP	BEP	2-CP
	(5.06 ± 0.2) × 107	(8.86 ± 0.3) × 107	(2.92 ± 0.3) × 107
pH 9
kt, dm3/mol s	BuP	BEP	2-CP
	(8.45 ± 0.5) × 107	(1.02 ± 0.04) × 108	(1.66 ± 0.03) × 108
pH 10.8
kt, dm3/mol s	BuP	BEP	2-CP
	(1.15 ± 0.04) × 108	(1.21 ± 0.06) × 108	(2.03 ± 0.07) × 108

. As can be seen, the rate constant is dependent on the pD of the reaction medium. The highest values are observed in an alkaline environment and decrease with increasing acidity. This is in agreement with higher ¹O₂ reactivity toward phenolate rather than phenol. Electron transfer between ¹O₂ and the dissociated OH functional group requires much less energy than the transfer between the benzene ring and ¹O₂ [13], resulting in a faster reaction during photooxidation of phenolates.

2.2. Kinetic Models for Photooxidation

The following reactions take place in the photodegradation process of micropollutants with the use of TPPS₄ as. a photosensitizer. The reaction is initiated by the absorption of visible light by the photosensitizer, which transfers to the excited triplet state (³TPPS₄*) with a quite high quantum yield (Equation (11),

Table 2. The rate constants of the components of the reactions taking place during photooxidation of a solution containing TPPS₄ in the presence of oxygen.

Constant	φT	φΔ	kD 1/s	$$\begin{gathered} {\mathit{k}}_{\mathit{Q}}^{{\mathit{O}}_2} \\ {\mathbf{dm}}^3/\mathbf{mol}\mathbf{s} \end{gathered}$$	$$\begin{gathered} {\mathit{k}}_{\mathit{\Delta }}^{{}_{}{}^3\mathit{O}{}_2} \\ {\mathbf{dm}}^3/\mathbf{mol}\mathbf{s} \end{gathered}$$	kd 1/s	krTPPS4 dm3/mol s
Value	0.78 [23]	0.62 [18]	2.8 × 103 [22]	1.77 × 109 [this study]	1.46 × 109 a	2.4 × 105 [21]	<108 [14]

^a Calculated ${\varphi }_{\mathsf{\Delta }}={\varphi }_T\frac{k_{\mathsf{\Delta }}^{O_2}}{k_Q^{O_2}}$.

). ³TPPS₄* has a long enough lifetime to participate in many chemical processes, or may go back to the ground state as it undergoes phosphorescence. If oxygen is available in an aqueous solution, ³TPPS₄* can quench by either chemically producing ¹O₂ or physically dissipating energy. Similarly, the micropollutant can react with ³TPPS₄* via physical quenching. The excited form of porphyrin in the triplet state can react with TPPS₄ in the ground state (Equation (14)) or directly return to the ground state (Equation (15)). ³TPPS₄* can also be physically quenched by MPs to revert to its ground state (Equation (18)) or it can also be physically quenched by molecular oxygen (Equation (16)). The possible reaction pathway is presented below:

$$TPP{S}_4+h\upsilon \stackrel{ }{\to } {}_{}{}^{1}TPP{S}_4^{*}\stackrel{ {\varphi }_{T }{E}_{a }}{\to } {}_{}{}^{3}TPP{S}_4^{*}$$

(11)

$${}_{}{}^{3}TPP{S}_4^{*}+{}_{}{}^{3}O{}_2\stackrel{ k_{\mathsf{\Delta }}^{O_2} }{\to } {}_{}{}^{1}O{}_2+{}_{}{}^{}TPP{S}_4^{}$$

(12)

$$EDCs+{}_{}{}^{1}O{}_2\stackrel{ k_r^{EDCs }}{\to } photodegradation product$$

(13)

$${}_{}{}^{3}TPP{S}_4^{*}\stackrel{ k_{D }}{\to } {}_{}{}^{}TPP{S}_4^{}$$

(14)

$${}_{}{}^{3}TPP{S}_4^{*}+{}_{}{}^{}TPP{S}_4^{}\stackrel{ k_q^{TPP{S}_4} }{\to } {({}_{}{}^{}TPP{S}_4^{})}_{}^{•–}+{({}_{}{}^{}TPP{S}_4^{})}_{}^{•+}$$

(15)

$${}_{}{}^{3}TPP{S}_4^{*}+{}_{}{}^{3}O{}_2\stackrel{ k_q^{3O_2} }{\to } product$$

(16)

$${}_{}{}^{}TPP{S}_4^{}+{}_{}{}^{1}O{}_2\stackrel{ k_r^{TPP{S}_4} }{\to } photodegradation product$$

(17)

$${}_{}{}^{3}TPP{S}_4^{*}+MPs \stackrel{ k_q^{MPs} }{\to } {}_{}{}^{}TPP{S}_4^{}+MPs$$

(18)

$${}_{}{}^{3}TPP{S}_4^{*}+MPs \stackrel{ k_{r_{TPP{S}_4}}^{MPs} }{\to } product$$

(19)

$${}_{}{}^{1}O{}_2\stackrel{ k_d^{} }{\to } {}_{}{}^{3}O{}_2$$

(20)

$$EDCs+{}_{}{}^{1}O{}_2\stackrel{ k_q^{MPs }}{\to } EDCs+{}_{}{}^{3}O{}_2$$

(21)

As a result of Equation (12), singlet oxygen is formed, which can be physically quenched by MPs (Equation (21)) or can be returned directly to the ground state (Equation (20)).

³TPPS₄* reacts with oxygen, initiating the photodegradation reaction of MPs. This photosensitizer in the excited state may also directly affect the disappearance of MPs according to Equations (18) and (19). However, in accordance with results obtained with NaN₃, the reaction described by Equation (19) does not occur, which is consistent with the literature [12]. Based on the performed experiments and considering photolysis, it can be assumed that the only pathway to decompose BuP, BeP, and 2-CP is a process based on the mechanism of energy transfer to oxygen.

According to the above-mentioned reaction mechanism, it can be assumed that photolysis has little effect on the decomposition of MPs, considering that there is only a physical reaction with the photosensitizer in the triplet state (Equation (18)). In addition, following the experimental results with ROS scavengers, the rate of decay of selected MPs can be determined from the equation:

$$r=-\frac{d{C}_{MPs}}{dt}=k_r^{MPs} C_{MP} C_{{}_{}{}^{1}O{}_2}+k_r^{\prime MP{s}^{-}} C_{M{P}^{-}} C_{{}_{}{}^{1}O{}_2}$$

(22)

where k_r is the reaction constant of the MP with singlet oxygen (chemical quenching) and k_r ‘ is the rate constant of the degradation reaction in the dissociated MPs form with singlet oxygen.

In a neutral environment (pH 7), when MPs are present practically only in undissociated form (α = 0.0544, α = 0.0568, and α = 0.0262 for BuP, BeP, and 2CP, respectively), the second part of the equation can be omitted. However, in an alkaline solution (pH 10.8), the ionic form of BuP, BeP, and 2-CP is predominantly (α > 99%), therefore the first part of the reaction can be neglected.

Applying an approximation of the steady-state concentrations of ¹O₂ and ³TPPS₄*, the following equation is presented:

$$C_{{}_{}{}^{1}O{}_2}=\frac{k_{\mathsf{\Delta }}^{O_2} C_{{}_{}{}^{3}TPP{S}_4^{*}} C_{{}_{}{}^{3}O{}_2}}{k_d+\left(k_q^{MP}+k_r^{MP}\right) C_{MP}+k_r^{TPP{S}_4} C_{{}_{}{}^{}TPP{S}_4^{}}}$$

(23)

$$C_{{}_{}{}^{3}TPP{S}_4^{*}}=\frac{E_a^{} {\varphi }_T}{k_D+k_q^{TPP{S}_4} C_{{}_{}{}^{}TPP{S}_4^{}}+k_q^{O_2} C_{{}_{}{}^{3}O{}_2^{}}+k_q^{MP} C_{MP}}$$

(24)

where E_a is the intensity of the absorbed radiation, i.e., the number of absorbed photons per unit of time.

Low values of k_D [22] and k_q^MP (which were determined experimentally) and the applied low concentration of TPPS₄ (2 × 10⁻⁵ mol/dm³) allow the omission of their values in Equations (23) and (24). The final equation for ¹O₂ concentration is equal to:

$$C_{{}_{}{}^{1}O{}_2}=\frac{k_{\mathsf{\Delta }}^{O_2} E_a^{} {\varphi }_T C_{{}_{}{}^{3}O{}_2}}{(k_d+k_t^{MP} C_{MP}) (k_Q^{O_2} C_{{}_{}{}^{3}O{}_2^{}}+k_Q^{MP} C_{MP})}$$

(25)

where $k_t^{MP}=k_q^{MP}+k_r^{MP}$.

Considering that Equation (25) is a part of Equation (22), the reaction rate of photosensitization of the undissociated (pH 7) MP form and the dissociated MP form (pH 10.8) is given by Equation (26).

$$r=-\frac{d{C}_{MP}}{dt}=\frac{k_r^{MP} C_{MP} E_a^{} {\varphi }_{\mathsf{\Delta }}}{(k_d+k_t^{MP} C_{MP})\left(1+\frac{k_Q^{MP} C_{MP}}{ k_Q^{O_2} C_{{}_{}{}^{3}O{}_2^{}}}\right)}$$

(26)

where ${\varphi }_{\mathsf{\Delta }}={\varphi }_T\frac{k_{\mathsf{\Delta }}^{O_2}}{k_Q^{O_2}}$.

For experimental data obtained at pH 7 and 10.8, the application of Equation (26), during the beginning phase of the reaction, allowed for the estimation of the unknown kinetic parameters: ${\mathrm{k}}_{\mathrm{r}}^{\mathrm{MP}}$, ${\mathrm{k}}_{\mathrm{t}}^{\mathrm{MP}}$, and ${\mathrm{k}}_{\mathrm{q}}^{\mathrm{MP}}$. The other values were taken from the literature (Table 2). By differentiating the MP decay curve that matched experimental sites with a correlation factor greater than 0.97, the initial reaction rates were determined. In order to account for the rate of direct photolysis, the values of r₀ were modified.

It should be highlighted that when the excited photosensitizer is weakly quenched by the micropollutant in comparison to triplet oxygen quenching, or when the quotient in the denominator is significantly lower than 1, Equation (26) can be simplified (Equation (27)). This hypothesis was typically used to characterize the kinetics of sensitized oxidation [12,14,24,25].

$$r=-\frac{d{C}_{MP}}{dt}=\frac{k_r^{MP} C_{MP} E_a^{} {\varphi }_{\mathsf{\Delta }}}{(k_d+k_t^{MP} C_{MP})}$$

(27)

Two methods were adopted in the modelling process:

Method 1—consisted of determining the values of the constants $k_t^{MP}$ and $k_q^{MP}$ determined by time-resolved spectroscopy (TRS), while the constant $k_r^{MP}$ was determined by fitting the model to the experimental data,

Method 2—consisted of determining all three reaction rate constants from the fit, and the parameters determined by the TRS method were used as starting values.

It should be remembered that in the case of the approach using method 1, the constants $k_t^{MP}$ and $k_q^{MP}$ were determined by time-resolved spectroscopy using D₂O as a solvent. The application of method 1 is therefore only comparative and does not describe the kinetics of the process taking place in an aqueous solution, where the effect of ¹O₂ quenching by the solvent (H₂O (k_d = 2.4 × 10⁵ 1/s),) is much higher than in D₂O (k_d = 1.9 × 10⁴ 1/s). Therefore, the use of method 2 for models (simplified (Equation (27) and not simplified (Equation (26)) gives estimated values of the kinetic constants of the ongoing process. It should also be considered that the measurement with the TRS technique is performed within a very short period of time from the activation of the photosensitizer (μs), while experimental research was performed for 2 h. The first sample was collected within 5 or 15 min of the process, therefore the processes of quenching the triplet form of the photosensitizer or physical quenching of singlet oxygen by MP may be much more noticeable. The reason for the inhibition of the reaction rate of the photosensitized oxidation process may therefore be either the formation of photosensitizer-compound complexes or the formation of paraben aggregates at higher concentrations of compounds. In concentrations above 1 × 10⁻⁴ mol/dm³ at pH < 9, parabens tend to form aggregates [26], therefore a decrease in the reaction rate of the process is observed in a neutral environment.

These two approaches allowed for the application of a kinetic model for determining the reaction rate constants. The obtained results are presented in Figure 5, while the obtained values of the kinetic constants are presented in

Table 3. Determined kinetic rate constant of BuP reaction with singlet oxygen and excited ³TPPS₄* with the application of Equation (26) and Equation (27) with two approaches.

Rate constant, dm3/mol s
	pH = 7		pH = 10.8
	Equation (26)
	Method 1	Method 2	Method 1	Method 2
$k_r^{BuP}$	(1.25 ± 0.5) × 106	(1.9 ± 0.1) × 106	(5.1 ± 0.4) × 106	(5.3 ± 0.6) × 106
$k_t^{BuP}$	(5.1 ± 0.2) × 107	(2.5 ± 0.5) × 109	(1.1 ± 0.04) × 108	(2.0 ± 0.2) × 108
$k_q^{BuP}$	(1.2 ± 0.5) × 106	(2.12 ± 0.9) × 106	no quenching	(1.01 ± 0.7) × 106
Rate constant, dm3/mol s 1	Equation (27)
	pH = 7		pH = 10.8
	Method 1	Method 2	Method 1	Method 2
$k_r^{BuP}$	(8.96 ± 0.8) × 105	(2.14 ± 0.3) × 106	(5.1 ± 0.4) × 106	(5.1 ± 0.09) × 106
$k_t^{BuP}$	(5.1 ± 0.2) × 107	(2.95 ± 0.8) × 109	(1.1 ± 0.04) × 108	(7.2 ± 0.8) × 107

,

Table 4. Determined kinetic rate constant of BeP reaction with singlet oxygen and excited ³TPPS₄* with the application of Equation (26) and Equation (27) with two approaches.

Rate constant, dm3/mol s
	pH = 7		pH = 10.8
	Equation (26)
	Method 1	Method 2	Method 1	Method 2
$k_r^{BeP}$	(1.31 ± 0.1) × 106	(2.2 ± 0.4) × 106	(6.2 ± 0.4) × 106	(6.3 ± 0.07) × 106
$k_t^{BeP}$	(8.8 ± 0.3) × 107	(1.9 ± 0.1) × 109	(1.4 ± 0.3) × 108	(1.5 ± 0.2) × 108
$k_Q^{BeP}$	no quenching	(5.5 ± 1.1) × 107	no quenching	(3.2 ± 0.4) × 106
Rate constant, dm3/mol s 1	Equation (27)
	pH = 7		pH = 10.8
	Method 1	Method 2	Method 1	Method 2
$k_r^{BeP}$	(1.31 ± 0.1) × 106	(2.6 ± 0.2) × 106	(6.20 ± 0.2) × 106	(6.21 ± 0.8) × 106
$k_t^{BeP}$	(8.8 ± 0.3) × 107	(2.4 ± 0.1) × 109	(1.4 ± 0.3) × 108	(7.9 ± 0.1) × 107

and

Table 5. Determined kinetic rate constant of 2CP reaction with singlet oxygen and excited ³TPPS₄* with the application of Equation (26) with two approaches.

Rate constant, dm3/mol s
	pH = 7		pH = 10.8
	Equation (26)
	Method 1	Method 2	Method 1	Method 2
$k_r^{2-CP}$	(2.5 ± 0.3) × 106	(3.4 ± 0.1) × 106	(1.22 ± 0.02) × 108	(1.15 ± 0.3) × 108
$k_t^{2-CP}$	(2.9 ± 0.4) × 107	(6.8 ± 0.2) × 107	(2.03 ± 0.2) × 108	(1.88 ± 0.02) × 108
$k_Q^{2-CP}$	no quenching	(3.0 ± 0.7) × 106	(2.4 ± 0.08) × 109	(2.22 ± 0.03) × 109

.

3. Discussion

As can be seen, the kinetic models described by Equations (26) and (27) describe the experimental data well for butylparaben and benzylparaben. The obtained kinetic constants determined for both models are similar. For 2-chlorophenol, the application of the simplified model (27) was impossible due to the decrease in the initial reaction rates at high concentrations of 2-CP, observed in both reaction media. The same effect of the initial concentration on the rate constant of the reaction of singlet oxygen with 4-chlorophenol was observed by Tratynyek and Holhne [11].

It is impossible to compare the determined values of the reaction rate constants because there are no published data on the kinetics of BuP and BeP degradation by singlet oxygen. However, other studies using substances with a similar structure have been examined under photosensitized oxidation (

Table 6. Kinetic constants for singlet oxygen with similar structure MP available in the literature (k_rArOH/k_tArOH—undissociated form, k_rArO⁻/k_tArO⁻—dissociated form).

Compound	krArOH dm3/mol s	krArO− dm3/mol s	ktArOH dm3/mol s	ktArO− dm3/mol s
phenol	(2.6 ± 4.0) × 106 (a)	(1.55 ± 0.05) × 108 (a)	-	-
4′-Hydroxy acetophenone	(1.5 ± 0.1) × 106 (a)	(2.36 ± 0.01) × 107 (a)	-	-
4-hydroxyphenol	(3.8 ± 5.5) × 107 (a)	-	-	-
2-benzylphenol	-	4.4 × 107 (b)	-	-
salicylic acid methyl ester	-	<2 × 106 (c)		1.2 × 108 (c)
4-chlorophenol	(6.0 ± 3.6) × 106 (a)	(1.93 ± 0.04) × 108 (a)	-	-
3-chlorophenol	(5.4 ± 1.0) × 106 (a)	(1.6 ± 0.02) × 108 (a)	-	-
2-chlorophenol	(9.2 ± 9.4) × 106 (d)	(1.92 ± 0.1) × 108 (d)	-	-
	-	1.7 × 107 (d)	-	2.3 × 108 (d)
	-	2.2 × 108 (e)	-	6.8 × 108 (e)
	3.8 × 105 (e)	2.05 × 108 (e)	1.33 × 106 (e)	2.36 × 109 (e)

^(a) [11], ^(b) [25] in H₂O, ^(c) [24] pH = 10, ^(d) [25] Palumbo i in., 1990, ^(e) [12].

). The kinetic constants for the photosensitized oxidation of 2-chlorophenol have already been thoroughly studied and are accessible in the literature (Table 6). The values of the rate constant of the dissociated and undissociated forms of 2-CP with singlet oxygen agree with those published for 2-CP, 3-CP, and 4-CP.

4. Materials and Methods

Meso-tetrakis(4-sulfonatophenyl)porphyrin (TPPS₄, Fluka), n-butylparaben, benzylparaben, and 2-chlorophenol (>99%, BP and BeP; 2-CP 98% (purchased from Fluka, Steinheim, Germany) were used as received.

Experiments were performed in a series of five flat plate reactors made from optical glass symmetrically positioned around the lamp. The distance between the inner walls of the plate reactor was 0.3 cm, and the capacity of the reactor amounts to 0.01 dm³. The photon flux entering the reaction space was measured using Reinecke’s actinometer for wavelengths ranging from 310 to 770 nm [15,27,28]. The experiments were carried out in phosphate buffer solutions (NaH₂PO₄–K₂HPO₄; p.a. POCH S.A., Gliwice, Poland) for pH 5–8 and carbonate buffer (Na₂CO₃–NaHCO₃, p.a. POCH S.A., Gliwice, Poland) for pH 9–10.8. All solutions were prepared in distilled water and additionally treated in Millipore Milli-Q Plus system. The reaction solution was aerated by gas bubbling (air, oxygen, or nitrogen). The samples for analysis were taken regularly in time. When reaction underwent at pH above 8, the samples were acidified with 0.5 M sulfuric acid (p.a. POCH S.A., Gliwice, Poland). The MPs decay was monitored by HPLC apparatus (Waters Ltd., Watford, UK) with a UV diode array detector. The chromatograph was equipped with a Nova-Pak 150/C18 column (Waters Ltd., Watford, UK). A mixture MeOH-acidified water (0.1% H₃PO₄) was used as a mobile phase. The analytical procedure can be found in [15,27,28].

Time-resolved measurements were performed by an FL 3002 dye laser (λ_exc = 425 nm for TPPS₄, and output energy 0.1–3 mJ/pulse, pulse width ~28 ns) was pumped by a COMPEX102 XeCl excimer laser (both Lambda Physik, Fort Lauderdale, FL, USA). The time profiles of the triplet states of photosensitizer were probed using their absorption at 460 nm with a 150 W Xe lamp with a pulse unit on an LKS20 laser kinetic spectrometer (Applied Photophysics, Leatherhead, UK). Time-resolved near-infrared phosphorescence at 1270 nm was used to monitor the production of ¹O₂. After passing through a 1270 nm band-pass filter (Laser Components, Olching, Germany), the time-resolved phosphorescence was observed with a Ge diode (Judson J16-8SP-R05M-HS, Toledyne Judson Technologies, Montgomeryville, PA, USA). A 600 MHz oscilloscope (Agilent Infiniium, Colorado Springs, CO, USA) was used to gather the detector’s signal, and the data was then uploaded to a computer for further analysis. Individual traces were accumulated 200 times to improve the signal-to-noise statistics. The samples were exposed to air or oxygen as necessary, and argon purging was used to eliminate oxygen from the solution.

The initial reaction rates were calculated by differentiating the exponential curve that fitted experimental points (C, t) at a correlation factor higher than 0.97.

5. Conclusions

The course of the reaction was also observed in the presence of certain additives which act as scavengers of reactive oxygen species, allowing an explanation of the mechanism of the reactions taking place. The rate of photodegradation of parabens in alkaline and neutral environment increased with the increase of the initial substrate concentration, and a different relationship can be observed for 2-chlorophenol (2-CP). In a neutral environment, the increase in the photodegradation rate of butylparaben (BuP) and benzylparaben (BeP) is hyperbolic, while in an alkaline environment, it is directly proportional. There is a strong dependence on the initial substrate concentration during the degradation of 2-CP. In a neutral environment, a hyperbolic increase in the rate of the process can be observed with an increase in the initial concentration. On the other hand, in an alkaline environment, the dependence of the reaction rate on the initial concentration of 2-CP shows the existence of an optimal concentration of 2-CP (5.4 × 10⁻⁴ mole/dm³), at which the highest rate of photodegradation reaction is obtained.

The main purpose of the research was to determine the kinetic parameters of the reactions studied. Often, in works devoted to the removal of pollutants from the aquatic environment, a purely practical approach is used. As a result, the issues of reaction rate are presented marginally, and the main emphasis is on describing the efficiency of the process. Kinetic relationships are simplified and most often consist of fitting experimental data to first-order equations. The experiments presented in this paper made it possible to understand the process at the molecular level, which allowed for the determination of the reaction mechanism and the correct construction of the kinetic model. The kinetic quantities determined in this way have a specific physical meaning. Moreover, the kinetic equations derived from the reaction mechanism are valid over a wider range of variables as compared to the macrokinetic equations.