# Dominating Role of Ionic Strength in the Sedimentation of Nano-TiO2 in Aquatic Environments

Authors: Guang’an He; Rui Chen; Shushen Lu; Chengchun Jiang; Hong Liu; Chuan Wang
Journal: Journal of Nanomaterials
 (2015)

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## Abstract

Various factors affect the sedimentation behavior of nanotitanium dioxide (n-TiO2) in water. Accordingly, this study aimed to select the dominating factor. An index of sedimentation efficiency related to n-TiO2 concentration was applied to precisely describe the n-TiO2 sedimentation behavior. Ionic strength (IS), natural organic matter (NOM) content, and pH were evaluated in sedimentation experiments. An orthogonal experimental design was used to sequence the affecting ability of these factors. Furthermore, simulative sedimentation experiments were performed. The n-TiO2 sedimentation behavior was only affected by pH and NOM content at low levels of IS. Moreover, divalent cations can efficiently influence the n-TiO2 sedimentation behavior compared with monovalent cations at fixed IS. Seven different environmental water samples were also used to investigate the n-TiO2 sedimentation behavior in aquatic environments. Results confirmed that IS, in which divalent cations may play an important role, was the dominating factor influencing the n-TiO2 sedimentation behavior in aquatic environments.


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## Body

## 1. Introduction

As nanotechnology rapidly progresses, nanotitanium dioxide (n-TiO2), a promising engineered nanomaterial, has been extensively used in different fields, such as manufacturing industries [1], environmental protection [2–5], and consumer products [6, 7]. The inevitable release of n-TiO2 in the environment may result in its easy suspension in air, transport through water, or settling in soil. Hence, acquiring n-TiO2 through dermal, ingestion, and inhalation routes may pose a high risk to humans and other organisms because of its potential harms [8–12].Environmental behavior, including dispersion, transportation, aggregation, and sedimentation, of n-TiO2 has been considerably investigated [13]. Most studies focus on determining the effect of pH [14, 15], ionic strength (IS) [16, 17], and natural organic matter (NOM) content [18–20] on the sedimentation behavior of n-TiO2. These factors are important water indexes in an actual aquatic environment and can be easily evaluated by using well-controlled synthetic water in the laboratory. Nevertheless, the dominating factor remains unclear.To determine the dominating factor, we included four important stages in our experimental strategy. The individual effect of each single factor on n-TiO2 sedimentation behavior must be first investigated. Then, an orthogonal experimental design, known as systematic method, which has been applied in different fields, such as physical science [21], chemical engineering [22], ecology, and biotechnology, is used to sequence the affecting ability of these factors and their interactions. After statistical analysis, further simulative sedimentation experiments should be performed to determine and confirm the dominating factor. Finally, several sedimentation experiments must be conducted using water samples from different representative aquatic environments to provide practical and intuitive evidence and thus confirm the important role of the dominating factor.In this study, we used concentration instead of particle size of n-TiO2 as the criterion to evaluate its sedimentation behavior. We also proposed the index of sedimentation efficiency (SE) with the following formula: (1)
S
E
=
c
0
-
c
t
c
0
×
100
%
,where c
0 is the initial concentration of n-TiO2 and c
t is the concentration of n-TiO2 after sedimentation. An orthogonal experimental design [L27(313)] of n-TiO2 sedimentation was applied. In this design, it contained twenty-seven tests, three levels, and thirteen factors. Among these thirteen factors, they consisted of three independent factors (pH, IS, and NOM), six relevant factors (two for interactions between pH and IS, two for interactions between pH and NOM, and two for interactions between IS and NOM), and four blank factors which were used to calibrate the orthogonal experimental system. This experimental strategy is a new attempt to study the sedimentation behavior of n-TiO2 and thus may provide an alternative method to evaluate the environmental behavior of other nanoparticles in the future.


## 2. Materials and Methods

### 2.1. Chemicals

The commercial n-TiO2 (99.8% metal basis, 25 nm, anatase, hydrophile, dry powders) was purchased from Aladdin Industrial Corporation (China). The transmission electron microscope (TEM) images (see Figure S1 in Supplementary Material available online at http://dx.doi.org/10.1155/2015/851928) and X-ray diffractometer (XRD) patterns (Figure S2) confirmed the product parameters got from the manufacturer that the original size of n-TiO2 was 25 nm and crystal form of n-TiO2 was anatase. All inorganic reagents were acquired from Guangzhou Chemical Reagent Factory (China). Fulvic acid (FA) was also obtained from Aladdin Industrial Corporation, and humic acid (HA) was acquired from Jufeng Chemical Science and Technology Corporation (China). All reagents used in this study were of analytical reagent grade. The double-distilled water used in all experiments was generated using an ultrapure water system (Milli-Q, USA).


### 2.2. Preparation of Inorganic Salt and NOM Solutions

Six common inorganic salts (NaCl, KCl, Na2SO4, K2SO4, MgCl2, and CaCl2) were utilized in this study. Stock solutions with 1.0 M IS were prepared for each inorganic salt and were filtered through a 0.45 μm syringe filter (Membrana, Germany). Two representative NOM (FA and HA) which were known to have high molecular weight and large molecular structure were employed in this study. Both FA and HA were dried at 105°C for 2 h and dissolved with 1 mol L−1 NaOH, and 1 mol L−1 HCl was subsequently added to adjust the pH to 7.0. The stock solutions of FA and HA with 50 mg L−1 total organic carbon (TOC) concentration were also filtered through a 0.45 μm syringe filter and stored in a refrigerator without light at 4°C.


### 2.3. Preparation of Environmental Water Samples

Seven environmental water samples were evaluated in this study: (a) tap water from our laboratory at the Sun Yat-sen University (Guangzhou, China), (b) lake water (LW) from Haizhu Lake (Guangzhou, China), (c) river water (RW) from Pearl River (Guangzhou, China), (d) phreatic water (PW) from Daya Bay (Huizhou, China), (e) sea water (SW) from Nansha Beach (Guangzhou, China), (f) reservoir water (RE) from Mutouchong Reservoir (Zhuhai, China), and (g) waste water (WW) from the Luogang Waste Water Treatment Plant (Guangzhou, China). In a typical procedure, 5 L of each environmental water sample was placed into a 5 L amber reagent bottle to avoid light and stored for 24 h to separate the insoluble substance. Each environmental water sample was filtered through a 0.45μm syringe filter. Subsequently, 500 mL of the phreatic water sample was diluted with 5 L of deionized water to decrease its high salinity.


### 2.4. Characterization and Measurement

Organic elemental analysis, infrared radiation (IR) spectrum, ultraviolet-visible (UV-Vis) spectrum, and carbon analysis of FA and HA were measured with an elemental analyzer (VARIO EL CUBE, Elementar Analysensysteme GmbH, Germany), Fourier transform infrared spectrometer (NICOLET AVATAR 330, Thermo Fisher, USA), UV-Vis spectrophotometer (TU-1810, Persee, China), and TOC analyzer (Multi N/C 3100 TOC/TN, Analytik Jena AG, Germany), respectively.Common inorganic ion analysis, carbon analysis, pH, and conductivity of the environmental water samples were measured using an ion chromatograph (ICS-900 and ICS-5000, Dionex Thermo, USA), TOC analyzer (TOC-VCPH, Shimadzu, Japan), pH meter (PHB-3/pH, Shanxin, China), and conductivity detector (DDS-11A, Yulong, China), respectively.TEM (TECNAI G2 SPIRIT, FEI, USA) images were obtained to observe the original size of n-TiO2 and XRD (D-MAX 2200 VPC, Rigaku, Japan) patterns were utilized to determine the crystal form of n-TiO2. Moreover, an autotitrator (BI-ZTU, Brookhaven, USA) was used to determine the isoelectric point of n-TiO2.The n-TiO2 suspension sampled in the sedimentation tube was placed into a 15 mL crucible and then vaporized on an 800 W electric stove (ES-0320, Triangle, China). The n-TiO2 can be digested when it is melted with potassium pyrosulfate and becomes titanium sulfate. A stable yellow complex that can be detected by UV-Vis spectrophotometer is generated when acidic hydrogen peroxide is added. According to this property of the complex, we had established a detection procedure of n-TiO2 concentration. In this procedure, 0.5 g (±0.1 g) of K2S2O7 was added into the crucible and melted on the electric stove for 2 min until the suspension was completely evaporated. Subsequently, 3.0 mL (±0.1 mL) of 10% H2SO4 (volume fraction) was added into the crucible and heated on the electric stove for 1 min after the molten mixture cooled down. The solution was then placed into a 10 mL colorimetric tube and immediately added with 1.0 mL (±0.1 mL) of 30% H2O2 (mass fraction). Deionized water was also added to dilute the solution into scale. After 5 min of coloration, the solution was subjected to a UV-Vis spectrophotometer at 400 nm. And a standard curve (Figure S3) was used as the quantitative criterion of n-TiO2 concentration because the linear correlation coefficient is close to 1 (R
2 = 0.9999).


### 2.5. Orthogonal Experimental Design

An orthogonal experiment design [L27(313)] was applied to determine the effect of three factors and their interactions on n-TiO2 sedimentation behavior. In this design, pH, IS of the mixed inorganic salt solution, and TOC concentration of the mixed NOM solution as three factors were evaluated. Three levels were set in each independent factor (Table 1).Table 1
Factors and levels of the orthogonal experiment.
Factors
Levels
1
2
3
pH
6.0
7.0
8.0
IS (mM)
0.5
2.5
25
NOM (mg L−1)
0.5
1.0
5.0


### 2.6. Sedimentation Experiments

Sedimentation experiments were conducted in sedimentation tubes (height: 30 cm, radius: 2 cm) for 4 h. Briefly, 0.0250 g (±0.0002 g) of n-TiO2 was weighed with an electronic balance (FA-1104, Hengping, China) and was added in each tube. Pretreated inorganic salt and NOM solutions or environmental water samples were subsequently added. The suspensions were immediately ultrasonicated in an ultrasonic generator (AS3120A, Autoscience, China) for 15 min, and the initial n-TiO2 concentration was 100 mg L−1.The following eight different sedimentation experiments were conducted: (A) single factor experiment with pH, (B) single factor experiment with IS, (C) single factor experiment with NOM content, (D) orthogonal experiment, (E) double factor experiment with IS of monovalent and divalent cations, (F) double factor experiment with pH and IS, (G) double factor experiment with NOM content and IS, and (H) environmental water sample experiment. Solution conditions in each experiment were shown in Table2.Table 2
The solutions conditions of the sedimentation experiments.
Sedimentation experiment
Solution conditions
A
pH from 1.0 to 13.0
B
Ionic strength of KCl from 0.01 mM to 100 mMIonic strength of CaCl2 from 0.01 mM to 15 mMpH = 7.0
C
TOC concentration of HA from 0.5 mg L−1 to 10 mg L−1 pH = 7.0
D
Ionic strength of mix inorganic salt solution (Na2SO4, K2SO4, MgCl2, CaCl2) from 0.5 mM to 25 mMTOC concentration of mix NOM solution (FA, HA) from 0.5 mg L−1 to 5 mg L−1 pH from 6.0 to 8.0
E
Ionic strength of mix inorganic salt solution (NaCl, KCl, MgCl2, CaCl2) from 0.12 mM to 120 mMpH = 7.0
F
Ionic strength of mix inorganic salt solution (Na2SO4, K2SO4, MgCl2, CaCl2) from 0.12 mM to 120 mMpH from 6.0 to 8.0
G
Ionic strength of mix inorganic salt solution (Na2SO4, K2SO4, MgCl2, CaCl2) from 0.12 mM to 120 mMTOC concentration of mix NOM solution (FA, HA) from 0.5 mg L−1 to 5 mg L−1 pH from 6.0 to 8.0
H
Pretreated environmental water samplesIn experiment A, the pH of the suspension was adjusted from 1.0 to 13.0 (±0.1) with 1.0 mol L−1 HCl and NaOH. In experiments B, F, and G, the pH was adjusted from 6.0 to 8.0 (±0.1) with 0.1 mol L−1 HCl and NaOH. In experiments C, D, and E, the pH was adjusted to 7.0 (±0.1) with 0.01 mol L−1 HCl and NaOH.In experiments D and G, the mixed NOM solution was prepared using FA and HA stock solutions with a mass ratio of 1 : 1. In experiments D, F, and G, the mixed inorganic salt solution with an IS ratio of 1 : 1 for monovalent cations and anions and for divalent cations and anions was prepared with Na2SO4, K2SO4, MgCl2, and CaCl2 stock solutions. In experiment E, the mixed inorganic salt solution with a 1 : 1 IS ratio of monovalent and divalent cations was prepared with NaCl, KCl, MgCl2, and CaCl2 stock solutions.We immediately sampled 1.00 mL (±0.01 mL) of each suspension with a pipette at 1/4 height of each sedimentation tube after 4 h of sedimentation. The concentration of n-TiO2 was detected using a UV-Vis spectrophotometer. All sedimentation tests were performed in triplicate, and data in average were presented.


## 2.1. Chemicals

The commercial n-TiO2 (99.8% metal basis, 25 nm, anatase, hydrophile, dry powders) was purchased from Aladdin Industrial Corporation (China). The transmission electron microscope (TEM) images (see Figure S1 in Supplementary Material available online at http://dx.doi.org/10.1155/2015/851928) and X-ray diffractometer (XRD) patterns (Figure S2) confirmed the product parameters got from the manufacturer that the original size of n-TiO2 was 25 nm and crystal form of n-TiO2 was anatase. All inorganic reagents were acquired from Guangzhou Chemical Reagent Factory (China). Fulvic acid (FA) was also obtained from Aladdin Industrial Corporation, and humic acid (HA) was acquired from Jufeng Chemical Science and Technology Corporation (China). All reagents used in this study were of analytical reagent grade. The double-distilled water used in all experiments was generated using an ultrapure water system (Milli-Q, USA).


## 2.2. Preparation of Inorganic Salt and NOM Solutions

Six common inorganic salts (NaCl, KCl, Na2SO4, K2SO4, MgCl2, and CaCl2) were utilized in this study. Stock solutions with 1.0 M IS were prepared for each inorganic salt and were filtered through a 0.45 μm syringe filter (Membrana, Germany). Two representative NOM (FA and HA) which were known to have high molecular weight and large molecular structure were employed in this study. Both FA and HA were dried at 105°C for 2 h and dissolved with 1 mol L−1 NaOH, and 1 mol L−1 HCl was subsequently added to adjust the pH to 7.0. The stock solutions of FA and HA with 50 mg L−1 total organic carbon (TOC) concentration were also filtered through a 0.45 μm syringe filter and stored in a refrigerator without light at 4°C.


## 2.3. Preparation of Environmental Water Samples

Seven environmental water samples were evaluated in this study: (a) tap water from our laboratory at the Sun Yat-sen University (Guangzhou, China), (b) lake water (LW) from Haizhu Lake (Guangzhou, China), (c) river water (RW) from Pearl River (Guangzhou, China), (d) phreatic water (PW) from Daya Bay (Huizhou, China), (e) sea water (SW) from Nansha Beach (Guangzhou, China), (f) reservoir water (RE) from Mutouchong Reservoir (Zhuhai, China), and (g) waste water (WW) from the Luogang Waste Water Treatment Plant (Guangzhou, China). In a typical procedure, 5 L of each environmental water sample was placed into a 5 L amber reagent bottle to avoid light and stored for 24 h to separate the insoluble substance. Each environmental water sample was filtered through a 0.45μm syringe filter. Subsequently, 500 mL of the phreatic water sample was diluted with 5 L of deionized water to decrease its high salinity.


## 2.4. Characterization and Measurement

Organic elemental analysis, infrared radiation (IR) spectrum, ultraviolet-visible (UV-Vis) spectrum, and carbon analysis of FA and HA were measured with an elemental analyzer (VARIO EL CUBE, Elementar Analysensysteme GmbH, Germany), Fourier transform infrared spectrometer (NICOLET AVATAR 330, Thermo Fisher, USA), UV-Vis spectrophotometer (TU-1810, Persee, China), and TOC analyzer (Multi N/C 3100 TOC/TN, Analytik Jena AG, Germany), respectively.Common inorganic ion analysis, carbon analysis, pH, and conductivity of the environmental water samples were measured using an ion chromatograph (ICS-900 and ICS-5000, Dionex Thermo, USA), TOC analyzer (TOC-VCPH, Shimadzu, Japan), pH meter (PHB-3/pH, Shanxin, China), and conductivity detector (DDS-11A, Yulong, China), respectively.TEM (TECNAI G2 SPIRIT, FEI, USA) images were obtained to observe the original size of n-TiO2 and XRD (D-MAX 2200 VPC, Rigaku, Japan) patterns were utilized to determine the crystal form of n-TiO2. Moreover, an autotitrator (BI-ZTU, Brookhaven, USA) was used to determine the isoelectric point of n-TiO2.The n-TiO2 suspension sampled in the sedimentation tube was placed into a 15 mL crucible and then vaporized on an 800 W electric stove (ES-0320, Triangle, China). The n-TiO2 can be digested when it is melted with potassium pyrosulfate and becomes titanium sulfate. A stable yellow complex that can be detected by UV-Vis spectrophotometer is generated when acidic hydrogen peroxide is added. According to this property of the complex, we had established a detection procedure of n-TiO2 concentration. In this procedure, 0.5 g (±0.1 g) of K2S2O7 was added into the crucible and melted on the electric stove for 2 min until the suspension was completely evaporated. Subsequently, 3.0 mL (±0.1 mL) of 10% H2SO4 (volume fraction) was added into the crucible and heated on the electric stove for 1 min after the molten mixture cooled down. The solution was then placed into a 10 mL colorimetric tube and immediately added with 1.0 mL (±0.1 mL) of 30% H2O2 (mass fraction). Deionized water was also added to dilute the solution into scale. After 5 min of coloration, the solution was subjected to a UV-Vis spectrophotometer at 400 nm. And a standard curve (Figure S3) was used as the quantitative criterion of n-TiO2 concentration because the linear correlation coefficient is close to 1 (R
2 = 0.9999).


## 2.5. Orthogonal Experimental Design

An orthogonal experiment design [L27(313)] was applied to determine the effect of three factors and their interactions on n-TiO2 sedimentation behavior. In this design, pH, IS of the mixed inorganic salt solution, and TOC concentration of the mixed NOM solution as three factors were evaluated. Three levels were set in each independent factor (Table 1).Table 1
Factors and levels of the orthogonal experiment.
Factors
Levels
1
2
3
pH
6.0
7.0
8.0
IS (mM)
0.5
2.5
25
NOM (mg L−1)
0.5
1.0
5.0


## 2.6. Sedimentation Experiments

Sedimentation experiments were conducted in sedimentation tubes (height: 30 cm, radius: 2 cm) for 4 h. Briefly, 0.0250 g (±0.0002 g) of n-TiO2 was weighed with an electronic balance (FA-1104, Hengping, China) and was added in each tube. Pretreated inorganic salt and NOM solutions or environmental water samples were subsequently added. The suspensions were immediately ultrasonicated in an ultrasonic generator (AS3120A, Autoscience, China) for 15 min, and the initial n-TiO2 concentration was 100 mg L−1.The following eight different sedimentation experiments were conducted: (A) single factor experiment with pH, (B) single factor experiment with IS, (C) single factor experiment with NOM content, (D) orthogonal experiment, (E) double factor experiment with IS of monovalent and divalent cations, (F) double factor experiment with pH and IS, (G) double factor experiment with NOM content and IS, and (H) environmental water sample experiment. Solution conditions in each experiment were shown in Table2.Table 2
The solutions conditions of the sedimentation experiments.
Sedimentation experiment
Solution conditions
A
pH from 1.0 to 13.0
B
Ionic strength of KCl from 0.01 mM to 100 mMIonic strength of CaCl2 from 0.01 mM to 15 mMpH = 7.0
C
TOC concentration of HA from 0.5 mg L−1 to 10 mg L−1 pH = 7.0
D
Ionic strength of mix inorganic salt solution (Na2SO4, K2SO4, MgCl2, CaCl2) from 0.5 mM to 25 mMTOC concentration of mix NOM solution (FA, HA) from 0.5 mg L−1 to 5 mg L−1 pH from 6.0 to 8.0
E
Ionic strength of mix inorganic salt solution (NaCl, KCl, MgCl2, CaCl2) from 0.12 mM to 120 mMpH = 7.0
F
Ionic strength of mix inorganic salt solution (Na2SO4, K2SO4, MgCl2, CaCl2) from 0.12 mM to 120 mMpH from 6.0 to 8.0
G
Ionic strength of mix inorganic salt solution (Na2SO4, K2SO4, MgCl2, CaCl2) from 0.12 mM to 120 mMTOC concentration of mix NOM solution (FA, HA) from 0.5 mg L−1 to 5 mg L−1 pH from 6.0 to 8.0
H
Pretreated environmental water samplesIn experiment A, the pH of the suspension was adjusted from 1.0 to 13.0 (±0.1) with 1.0 mol L−1 HCl and NaOH. In experiments B, F, and G, the pH was adjusted from 6.0 to 8.0 (±0.1) with 0.1 mol L−1 HCl and NaOH. In experiments C, D, and E, the pH was adjusted to 7.0 (±0.1) with 0.01 mol L−1 HCl and NaOH.In experiments D and G, the mixed NOM solution was prepared using FA and HA stock solutions with a mass ratio of 1 : 1. In experiments D, F, and G, the mixed inorganic salt solution with an IS ratio of 1 : 1 for monovalent cations and anions and for divalent cations and anions was prepared with Na2SO4, K2SO4, MgCl2, and CaCl2 stock solutions. In experiment E, the mixed inorganic salt solution with a 1 : 1 IS ratio of monovalent and divalent cations was prepared with NaCl, KCl, MgCl2, and CaCl2 stock solutions.We immediately sampled 1.00 mL (±0.01 mL) of each suspension with a pipette at 1/4 height of each sedimentation tube after 4 h of sedimentation. The concentration of n-TiO2 was detected using a UV-Vis spectrophotometer. All sedimentation tests were performed in triplicate, and data in average were presented.


## 3. Results and Discussion

### 3.1. Characterization of NOM and Analysis of Environmental Water Samples

We determined the relative concentrations of C, N, H, and S in NOM, and C was proven as the major element (Table S1). The relative C concentrations of FA and HA were 41.28% and 61.19%, respectively. Total carbon, TOC, and inorganic carbon (IC) of NOM were further analyzed, and we found that the ratio of TOC/IC ranged from 12 : 1 to 15 : 1 (Table S2). Hence, TOC concentration, instead of the original concentration of NOM, was used in sequential n-TiO2 sedimentation experiments. The IR and UV-Vis spectra presented in Figures S4 and S5 further confirmed the presence of many aromatic organics containing carboxyl and hydroxyl groups in NOM.The results of analysis on common ions, pH, conductivity, and carbon of environmental water samples were shown in Tables S3, S4, S5, and S6, respectively. The pH of all samples was approximately neutral. Phreatic water, sea water, and waste water samples contained high amount of inorganic ions, and their conductivities were high because of their high salinity. Moreover, waste water samples presented higher TOC concentration than any other sample.


### 3.2. Sedimentation Experiments of n-TiO2 with Single Factor

Water composition is very complex in actual aquatic environments and is a crucial factor that governs the stability of nanoparticles and their mobility as colloidal suspension or their aggregation into larger particles and deposition [23–25]. The effects of pH, IS, and NOM content on n-TiO2 sedimentation behavior were evaluated in this study.Figure1(c) shows the SE of n-TiO2 in different pH values. The SE of n-TiO2 at pH 4.0 was about 35% after 4 h sedimentation and higher than that at other pH. This finding could be attributed to the nearness of the pH of the solution to the p
H
p
z
c of n-TiO2. Fang et al. had found out that the point of zero charge (p
H
p
z
c) of commercial n-TiO2 was 4.5 [26]. In this study, we had also measured the p
H
p
z
c of n-TiO2 and the result was 4.21 (Figure S6). At pH 7.0, the SE of n-TiO2 was about 20%, which was the lowest. The SE of n-TiO2 began to increase at pH < 7.0 or >7.0. The zeta potential of n-TiO2 also demonstrated a similar pattern (Figure S6). It can be revealed that a high zeta potential will confer stability; when the zeta potential is low, attraction exceeds repulsion, and the dispersion will break, and aggregation and sedimentation take place.Figure 1
SE of n-TiO2with KCl (a) and CaCl2 (b) in different IS values, SE of n-TiO2 in different pH values (c), and SE of n-TiO2 with HA in different TOC concentrations (d).
(a)
(b)
(c)
(d)The colloidal system of nanoparticles is generally least stable when nanoparticles are atp
H
p
z
c [27] in which the SE of n-TiO2 will be the highest. Nevertheless, the SE of n-TiO2 may be higher than that at p
H
p
z
c under extremely acidic (pH < 1.0) conditions (Figure 1(c)) because of the high level of IS. High concentration of H+ can efficiently compress the electric double-layer on the surface of n-TiO2, resulting in high SE of n-TiO2. Thus, the pH in the remaining n-TiO2 sedimentation experiments with KCl, CaCl2, and HA were adjusted to 7.0 (±0.1) by adding 0.01 mol L−1 NaOH to eliminate the effect of the high H+ concentration introduced by the initial pH of the solution.The SE values of n-TiO2 with KCl and CaCl2 in different IS values are shown in Figures 1(a) and 1(b). At 0.01 mM IS of KCl, the SE of n-TiO2 was about 20% after 4 h of sedimentation. This value approximated that in pH 7.0 with deionized water but without inorganic salt (Figure 1(c)) and increased to about 70% with 100 mM IS. It can be explicated that an increase in IS compresses the electric double-layer on the surface of n-TiO2 according to the Derjaguin-Landau-Verwey-Overbeek theory [28], thereby decreasing the electrostatic repulsion between two particles with the same charge. The energy barrier will then decrease, and the attachment probability becomes closer to unity.At lower than 0.1 mM IS of CaCl2, the SE of n-TiO2 ranged from 20% to 25% after 4 h of sedimentation; this finding was similar to that with KCl. Conversely, 10 times of the IS of KCl must be applied to obtain the same SE level of n-TiO2 at IS higher than 1.0 mM. It can be demonstrated that divalent ions may be more efficient in compressing the electric double-layer on the surface of n-TiO2 than monovalent ions on account of the Schulze-Hardy rule [29]. With respect to charge screening, compared with monovalent ions, divalent ions have a higher charge density and can induce aggregation and sedimentation of n-TiO2 at lower IS.The SE of n-TiO2 with HA in different TOC concentrations are shown in Figure 1(d). At 10 mg L−1 TOC, the SE of n-TiO2 was lower than 15% after 4 h of sedimentation; this value was lower than that in pH 7.0 with deionized water (Figure 1(c)). It can be indicated that NOM can be coated on the surface of n-TiO2 and reduce the aggregation of n-TiO2. It is attributed to the sterical repulsion due to the large molecular structure of NOM.


### 3.3. Statistical Analysis of n-TiO2 Sedimentation Behavior

A set of designed orthogonal experiment [L27(313)] with twenty-seven sedimentation tests was conducted. The experimental design consisted of three independent factors and their interactions. Each independent factor included three levels that were set to simulate the water composition of actual aquatic environments. This experiment was performed to investigate the sedimentation behavior of n-TiO2 with multiple factors and determine the most predominant factor. The results of the tests are shown in Table 3.Table 3
SE of n-TiO2 based on the orthogonal experiment under different experimental conditions.
Number
Experimental conditions
SE (%)
pH
IS (mM)
NOM (mg L−1)
01
6.0
0.5
0.5
25.56
02
6.0
0.5
1.0
12.22
03
6.0
0.5
5.0
5.56
04
6.0
2.5
0.5
32.22
05
6.0
2.5
1.0
18.89
06
6.0
2.5
5.0
15.56
07
6.0
25
0.5
57.78
08
6.0
25
1.0
55.56
09
6.0
25
5.0
51.11
10
7.0
0.5
0.5
22.22
11
7.0
0.5
1.0
7.78
12
7.0
0.5
5.0
3.33
13
7.0
2.5
0.5
26.67
14
7.0
2.5
1.0
16.67
15
7.0
2.5
5.0
11.11
16
7.0
25
0.5
48.89
17
7.0
25
1.0
44.44
18
7.0
25
5.0
37.78
19
8.0
0.5
0.5
30.00
20
8.0
0.5
1.0
21.11
21
8.0
0.5
5.0
12.22
22
8.0
2.5
0.5
42.22
23
8.0
2.5
1.0
31.11
24
8.0
2.5
5.0
24.44
25
8.0
25
0.5
65.56
26
8.0
25
1.0
61.11
27
8.0
25
5.0
58.89To sequence the affecting ability of the three independent factors and their interactions, we performed range analysis. Range analysis is a statistic method that finds out the differences between the maximum and minimum of the average value of target with each factor in different levels. By comparing the range difference of factors, we can directly understand which factor may affect the value of target most. The results (details in Table S7) are shown in Table4. The formula of the range analysis is(2)
R
=
max
⁡
K
¯
1
,
K
¯
2
,
K
¯
3
-
min
⁡
K
¯
1
,
K
¯
2
,
K
¯
3
,where R represents range difference and K
¯
1, K
¯
2, and K
¯
3 represent the average number of SE with each factor in levels 1, 2, and 3, respectively.Table 4
Results of range analysis.
Factor
R
pH
14.20
IS
37.90
NOM
14.57
pH × IS
5.31
pH × NOM
3.58
IS × NOM
6.42
Error
2.84
∗
R is range difference, and “×” represents the interactions between two factors.In this study, the value of target is n-TiO2 SE which relates to the sedimentation behavior of n-TiO2. The factor with the highest R could be considered as the main factor that affects the sedimentation behavior of n-TiO2. On the basis of the results of range analysis, we could arrange the factors based on their affecting ability and the interactions that affect the sedimentation behavior of n-TiO2 within the range of the orthogonal experiment and the observed trend was IS > NOM > pH > IS × NOM > pH × IS > pH × NOM.Among these three independent factors and their interactions, IS was the most effective factor that influences the sedimentation behavior of n-TiO2. Moreover, the effects of the three independent factors were stronger than those of their interactions. In the single factor sedimentation experiment of n-TiO2, the SE of n-TiO2 simultaneously increased with increasing IS of inorganic salt. By contrast, the SE of n-TiO2 decreased first and then increased with increasing pH and TOC concentration of NOM. Thus, the interactions between two factors may counterbalance their effects and present a weaker effect of n-TiO2 sedimentation behavior than single factor.The findings of range analysis were confirmed through variance analysis. Variance analysis is a statistic method that analyses the significance of factors influencing the value of target. The results (details in Table S8) are shown in Table5. The parameter ratio of degree of freedom (FR) was introduced with the following formula:(3)
F
R
=
S
f
/
F
f
S
e
/
F
e
,where S
f and S
e represent the sum of square of deviations of factors and errors, respectively, and F
f and F
e denote the degree of freedom of factors and errors, respectively.Table 5
Results of variance analysis.
Factor
S
F
FR
Significance
pH
101.40
2
107.42
∗
∗
∗
IS
787.43
2
795.38
∗
∗
∗
NOM
108.41
2
109.51
∗
∗
∗
pH × IS
8.73
4
4.41
∗
pH × NOM
3.73
4
1.88
—
IS × NOM
12.37
4
6.25
∗
∗
Error
5.94
12
∖
∖
∗
S is the sum of square of deviations, F is the degree of freedom, and “×” represents the interactions between two factors.By comparing the FR to theF distribution critical values (D
α
[
F
f
,
F
e
]) in different α values, we can elucidate the significance of each factor. The effect of a particular factor on n-TiO2 sedimentation behavior was evaluated based on the following criteria: F
R
>
D
.
001
[
F
f
,
F
e
], extremely significant (∗
∗
∗); F
R
>
D
.
01
[
F
f
,
F
e
], relatively significant (∗
∗); F
R
>
D
.
05
[
F
f
,
F
e
], significant (∗); and F
R
<
D
.
10
[
F
f
,
F
e
], not significant (—).With regard to this orthogonal experiment, the following degrees of freedom were applied: single factor, 2; interactions between two factors, 4; and error, 12. TheF distribution critical values used in this experiment are presented as follows [30]: (4)
D
.
001
2,12
=
12.97
,
D
.
01
2,12
=
6.93
,
D
.
05
2,12
=
3.89
,
D
.
10
2,12
=
2.81
,
D
.
001
4,12
=
9.63
,
D
.
01
4,12
=
5.41
,
D
.
05
4,12
=
3.26
,
D
.
10
4,12
=
2.48
.Within the range of the orthogonal experiment, the effects of pH, IS, and NOM content on n-TiO2 sedimentation behavior were extremely significant. The effect of the interactions between IS and NOM content was relatively significant and that of the interactions between IS and pH was significant. Only the interaction between pH and NOM content was not significant.Considering the results of variance analysis, we confirmed that the effect of independent factor on n-TiO2 sedimentation behavior was stronger than that of their interactions. In particular, the effect of IS on n-TiO2 sedimentation behavior was the highest. Moreover, the significance of each independent factor and their interactions was consistent with the order of the factors and the interactions influencing the sedimentation of n-TiO2.


### 3.4. Further Simulative Sedimentation Experiments of n-TiO2 with IS

In the orthogonal sedimentation experiment, we discovered that IS, NOM content, and pH were remarkable factors that influence n-TiO2 sedimentation behavior. Hence, we must elucidate the factor that dominatingly affects the sedimentation behavior of n-TiO2.The SE values of n-TiO2 with different pH values and NOM contents at different IS values are shown in Figure 2. At low IS level (0.12 mM), the effect of pH and NOM content on n-TiO2 sedimentation behavior was similar to the results of n-TiO2 sedimentation experiment with single factor. At high IS level (120 mM), the SE of n-TiO2 with different pH values and NOM contents was similar. Moreover, the effects of pH and NOM contents on n-TiO2 sedimentation behavior were almost replaced by those of IS.Figure 2
SE of n-TiO2 with different pH values at different IS values (a) and SE of n-TiO2 with different NOM contents at different ionic IS values (b).
(a)
(b)We concluded that pH and NOM content can affect the sedimentation behavior of n-TiO2 at low IS level because the electric double-layer on the surface of n-TiO2 was not compressed. As IS increased, the cations increased and the electric double-layer on the surface of n-TiO2 was completely compressed. Hence, the effects of pH and NOM content on n-TiO2 sedimentation behavior deteriorated. Consequently, IS governed the sedimentation behavior of n-TiO2 and gradually became the dominating factor.In n-TiO2 sedimentation experiment with single factor, divalent cations can efficiently settle n-TiO2 compared to monovalent cations. The IS of monovalent and divalent cations is a relevant part of the total IS of a solution. In the orthogonal sedimentation experiment, the ratio of monovalent and divalent cations was fixed at 1 : 1. Further studies must focus on the effect of different ratios of monovalent and divalent cations on n-TiO2 sedimentation behavior.Five different ratios of monovalent and divalent cations were selected in this study, and the results are shown in Figure3. At fixed total IS of the solution, the high percentage of divalent cations resulted in high SE of n-TiO2. As the total IS of the solution increased, divalent cations can efficiently influence the sedimentation behavior of n-TiO2. At 0.12 mM total IS, the SE of n-TiO2 with pure divalent cations was slightly higher than that with pure monovalent cations. As the total IS increased to 12 mM, the SE of n-TiO2 with pure divalent cations was twice higher than that with pure monovalent cations. This finding provided a piece of more convincible evidence that divalent ions might be more efficient in compressing the electric double-layer on the surface of n-TiO2 than monovalent ions.Figure 3
SE of n-TiO2 with different ratios of monovalent and divalent cations at different IS values.


### 3.5. Sedimentation Behavior of n-TiO2 in Actual Aquatic Environments

To evaluate the sedimentation behavior of n-TiO2 in actual aquatic environments, we obtained seven different representative environmental water samples. Four factors were analyzed to determine the relationship between these factors and the SE of n-TiO2 (Figure 4). The IS of the environmental water samples was estimated using seven common ions (Na+, K+, Mg2+, Ca2+, Cl−, N
O
3
-, and S
O
4
2
-), and the results were shown in Table S9. In actual aquatic environments, numerous factors and their interactions may affect the sedimentation behavior of n-TiO2. Nevertheless, a single factor can be inferred as the dominating factor if its effect on the sedimentation behavior of n-TiO2 is approximately similar to that in actual aquatic environments.Figure 4
Relationship between SE of n-TiO2 and pH (a), conductivity (b), NOM content (c), and IS (d) of environmental water samples.
(a)
(b)
(c)
(d)On the basis of the expounded theory above and the results of n-TiO2 sedimentation experiments with pH, IS, and NOM content, we considered that the factor exhibiting good correlation with SE of n-TiO2 could be the dominating factor that influences the sedimentation behavior of n-TiO2 in actual aquatic environments.NOM content and pH of the environmental water samples did not demonstrate good correlations with SE of n-TiO2 (Figures 4(c) and 4(a)), and their linear correlation coefficients (R
2) were only 0.024 and 0.199, respectively. In n-TiO2 sedimentation experiment with single factor, the SE of n-TiO2 was lowest at pH of approximately 7.0 and highest with increasing TOC concentration of NOM. The pH of river water sample was 7.1, which was almost equal to 7.0; hence, the SE of n-TiO2 in the river water sample was higher than that in reservoir water sample (pH = 6.8) and tap water sample (pH = 7.4). The TOC concentration of waste water sample was the highest (5.696 mg L−1), but the SE of n-TiO2 in this sample was higher than those in the other environmental water samples. Hence, pH and TOC concentrations were not crucial in the sedimentation of n-TiO2 in actual aquatic environments.Conductivity exhibited a positive correlation with IS. The IS of environment water samples presented an excellent linearity with SE of n-TiO2 (Figures 4(b) and 4(d)). The linear correlation coefficients (R
2) were 0.601 and 0.849, respectively. In n-TiO2 sedimentation experiment with single factor, the SE of n-TiO2 simultaneously increased as the IS of inorganic salt increased. This phenomenon was also observed when n-TiO2 settled in environmental water samples. The IS of phreatic water sample was the highest (59.29 mM), and the SE of n-TiO2 in this sample was also the highest. Conversely, the IS of reservoir water sample was the lowest (0.3740 mM) and the SE of n-TiO2 in this sample was the lowest. Thus, we concluded that IS was the most vital factor that affects the sedimentation behavior of n-TiO2 in actual aquatic environments.In n-TiO2 sedimentation experiment with single factor and multiple factors, we revealed that divalent cations can efficiently influence the sedimentation behavior of n-TiO2. The relationship between SE of TiO2 and IS of monovalent and divalent cations in environmental water samples was shown in Figures 5(a) and 5(b). The linear correlation coefficient of the IS of divalent cations with the SE of TiO2 was higher (R
2 = 0.812) than that of the IS of monovalent cations (R
2 = 0.713). Accordingly, divalent cations significantly contributed to IS in its dominating role in affecting the sedimentation of n-TiO2 in actual aquatic environments.Figure 5
Relationship between SE of n-TiO2 and IS of monovalent (a) and divalent (b) cations of environmental water samples.
(a)
(b)


## 3.1. Characterization of NOM and Analysis of Environmental Water Samples

We determined the relative concentrations of C, N, H, and S in NOM, and C was proven as the major element (Table S1). The relative C concentrations of FA and HA were 41.28% and 61.19%, respectively. Total carbon, TOC, and inorganic carbon (IC) of NOM were further analyzed, and we found that the ratio of TOC/IC ranged from 12 : 1 to 15 : 1 (Table S2). Hence, TOC concentration, instead of the original concentration of NOM, was used in sequential n-TiO2 sedimentation experiments. The IR and UV-Vis spectra presented in Figures S4 and S5 further confirmed the presence of many aromatic organics containing carboxyl and hydroxyl groups in NOM.The results of analysis on common ions, pH, conductivity, and carbon of environmental water samples were shown in Tables S3, S4, S5, and S6, respectively. The pH of all samples was approximately neutral. Phreatic water, sea water, and waste water samples contained high amount of inorganic ions, and their conductivities were high because of their high salinity. Moreover, waste water samples presented higher TOC concentration than any other sample.


## 3.2. Sedimentation Experiments of n-TiO2 with Single Factor

Water composition is very complex in actual aquatic environments and is a crucial factor that governs the stability of nanoparticles and their mobility as colloidal suspension or their aggregation into larger particles and deposition [23–25]. The effects of pH, IS, and NOM content on n-TiO2 sedimentation behavior were evaluated in this study.Figure1(c) shows the SE of n-TiO2 in different pH values. The SE of n-TiO2 at pH 4.0 was about 35% after 4 h sedimentation and higher than that at other pH. This finding could be attributed to the nearness of the pH of the solution to the p
H
p
z
c of n-TiO2. Fang et al. had found out that the point of zero charge (p
H
p
z
c) of commercial n-TiO2 was 4.5 [26]. In this study, we had also measured the p
H
p
z
c of n-TiO2 and the result was 4.21 (Figure S6). At pH 7.0, the SE of n-TiO2 was about 20%, which was the lowest. The SE of n-TiO2 began to increase at pH < 7.0 or >7.0. The zeta potential of n-TiO2 also demonstrated a similar pattern (Figure S6). It can be revealed that a high zeta potential will confer stability; when the zeta potential is low, attraction exceeds repulsion, and the dispersion will break, and aggregation and sedimentation take place.Figure 1
SE of n-TiO2with KCl (a) and CaCl2 (b) in different IS values, SE of n-TiO2 in different pH values (c), and SE of n-TiO2 with HA in different TOC concentrations (d).
(a)
(b)
(c)
(d)The colloidal system of nanoparticles is generally least stable when nanoparticles are atp
H
p
z
c [27] in which the SE of n-TiO2 will be the highest. Nevertheless, the SE of n-TiO2 may be higher than that at p
H
p
z
c under extremely acidic (pH < 1.0) conditions (Figure 1(c)) because of the high level of IS. High concentration of H+ can efficiently compress the electric double-layer on the surface of n-TiO2, resulting in high SE of n-TiO2. Thus, the pH in the remaining n-TiO2 sedimentation experiments with KCl, CaCl2, and HA were adjusted to 7.0 (±0.1) by adding 0.01 mol L−1 NaOH to eliminate the effect of the high H+ concentration introduced by the initial pH of the solution.The SE values of n-TiO2 with KCl and CaCl2 in different IS values are shown in Figures 1(a) and 1(b). At 0.01 mM IS of KCl, the SE of n-TiO2 was about 20% after 4 h of sedimentation. This value approximated that in pH 7.0 with deionized water but without inorganic salt (Figure 1(c)) and increased to about 70% with 100 mM IS. It can be explicated that an increase in IS compresses the electric double-layer on the surface of n-TiO2 according to the Derjaguin-Landau-Verwey-Overbeek theory [28], thereby decreasing the electrostatic repulsion between two particles with the same charge. The energy barrier will then decrease, and the attachment probability becomes closer to unity.At lower than 0.1 mM IS of CaCl2, the SE of n-TiO2 ranged from 20% to 25% after 4 h of sedimentation; this finding was similar to that with KCl. Conversely, 10 times of the IS of KCl must be applied to obtain the same SE level of n-TiO2 at IS higher than 1.0 mM. It can be demonstrated that divalent ions may be more efficient in compressing the electric double-layer on the surface of n-TiO2 than monovalent ions on account of the Schulze-Hardy rule [29]. With respect to charge screening, compared with monovalent ions, divalent ions have a higher charge density and can induce aggregation and sedimentation of n-TiO2 at lower IS.The SE of n-TiO2 with HA in different TOC concentrations are shown in Figure 1(d). At 10 mg L−1 TOC, the SE of n-TiO2 was lower than 15% after 4 h of sedimentation; this value was lower than that in pH 7.0 with deionized water (Figure 1(c)). It can be indicated that NOM can be coated on the surface of n-TiO2 and reduce the aggregation of n-TiO2. It is attributed to the sterical repulsion due to the large molecular structure of NOM.


## 3.3. Statistical Analysis of n-TiO2 Sedimentation Behavior

A set of designed orthogonal experiment [L27(313)] with twenty-seven sedimentation tests was conducted. The experimental design consisted of three independent factors and their interactions. Each independent factor included three levels that were set to simulate the water composition of actual aquatic environments. This experiment was performed to investigate the sedimentation behavior of n-TiO2 with multiple factors and determine the most predominant factor. The results of the tests are shown in Table 3.Table 3
SE of n-TiO2 based on the orthogonal experiment under different experimental conditions.
Number
Experimental conditions
SE (%)
pH
IS (mM)
NOM (mg L−1)
01
6.0
0.5
0.5
25.56
02
6.0
0.5
1.0
12.22
03
6.0
0.5
5.0
5.56
04
6.0
2.5
0.5
32.22
05
6.0
2.5
1.0
18.89
06
6.0
2.5
5.0
15.56
07
6.0
25
0.5
57.78
08
6.0
25
1.0
55.56
09
6.0
25
5.0
51.11
10
7.0
0.5
0.5
22.22
11
7.0
0.5
1.0
7.78
12
7.0
0.5
5.0
3.33
13
7.0
2.5
0.5
26.67
14
7.0
2.5
1.0
16.67
15
7.0
2.5
5.0
11.11
16
7.0
25
0.5
48.89
17
7.0
25
1.0
44.44
18
7.0
25
5.0
37.78
19
8.0
0.5
0.5
30.00
20
8.0
0.5
1.0
21.11
21
8.0
0.5
5.0
12.22
22
8.0
2.5
0.5
42.22
23
8.0
2.5
1.0
31.11
24
8.0
2.5
5.0
24.44
25
8.0
25
0.5
65.56
26
8.0
25
1.0
61.11
27
8.0
25
5.0
58.89To sequence the affecting ability of the three independent factors and their interactions, we performed range analysis. Range analysis is a statistic method that finds out the differences between the maximum and minimum of the average value of target with each factor in different levels. By comparing the range difference of factors, we can directly understand which factor may affect the value of target most. The results (details in Table S7) are shown in Table4. The formula of the range analysis is(2)
R
=
max
⁡
K
¯
1
,
K
¯
2
,
K
¯
3
-
min
⁡
K
¯
1
,
K
¯
2
,
K
¯
3
,where R represents range difference and K
¯
1, K
¯
2, and K
¯
3 represent the average number of SE with each factor in levels 1, 2, and 3, respectively.Table 4
Results of range analysis.
Factor
R
pH
14.20
IS
37.90
NOM
14.57
pH × IS
5.31
pH × NOM
3.58
IS × NOM
6.42
Error
2.84
∗
R is range difference, and “×” represents the interactions between two factors.In this study, the value of target is n-TiO2 SE which relates to the sedimentation behavior of n-TiO2. The factor with the highest R could be considered as the main factor that affects the sedimentation behavior of n-TiO2. On the basis of the results of range analysis, we could arrange the factors based on their affecting ability and the interactions that affect the sedimentation behavior of n-TiO2 within the range of the orthogonal experiment and the observed trend was IS > NOM > pH > IS × NOM > pH × IS > pH × NOM.Among these three independent factors and their interactions, IS was the most effective factor that influences the sedimentation behavior of n-TiO2. Moreover, the effects of the three independent factors were stronger than those of their interactions. In the single factor sedimentation experiment of n-TiO2, the SE of n-TiO2 simultaneously increased with increasing IS of inorganic salt. By contrast, the SE of n-TiO2 decreased first and then increased with increasing pH and TOC concentration of NOM. Thus, the interactions between two factors may counterbalance their effects and present a weaker effect of n-TiO2 sedimentation behavior than single factor.The findings of range analysis were confirmed through variance analysis. Variance analysis is a statistic method that analyses the significance of factors influencing the value of target. The results (details in Table S8) are shown in Table5. The parameter ratio of degree of freedom (FR) was introduced with the following formula:(3)
F
R
=
S
f
/
F
f
S
e
/
F
e
,where S
f and S
e represent the sum of square of deviations of factors and errors, respectively, and F
f and F
e denote the degree of freedom of factors and errors, respectively.Table 5
Results of variance analysis.
Factor
S
F
FR
Significance
pH
101.40
2
107.42
∗
∗
∗
IS
787.43
2
795.38
∗
∗
∗
NOM
108.41
2
109.51
∗
∗
∗
pH × IS
8.73
4
4.41
∗
pH × NOM
3.73
4
1.88
—
IS × NOM
12.37
4
6.25
∗
∗
Error
5.94
12
∖
∖
∗
S is the sum of square of deviations, F is the degree of freedom, and “×” represents the interactions between two factors.By comparing the FR to theF distribution critical values (D
α
[
F
f
,
F
e
]) in different α values, we can elucidate the significance of each factor. The effect of a particular factor on n-TiO2 sedimentation behavior was evaluated based on the following criteria: F
R
>
D
.
001
[
F
f
,
F
e
], extremely significant (∗
∗
∗); F
R
>
D
.
01
[
F
f
,
F
e
], relatively significant (∗
∗); F
R
>
D
.
05
[
F
f
,
F
e
], significant (∗); and F
R
<
D
.
10
[
F
f
,
F
e
], not significant (—).With regard to this orthogonal experiment, the following degrees of freedom were applied: single factor, 2; interactions between two factors, 4; and error, 12. TheF distribution critical values used in this experiment are presented as follows [30]: (4)
D
.
001
2,12
=
12.97
,
D
.
01
2,12
=
6.93
,
D
.
05
2,12
=
3.89
,
D
.
10
2,12
=
2.81
,
D
.
001
4,12
=
9.63
,
D
.
01
4,12
=
5.41
,
D
.
05
4,12
=
3.26
,
D
.
10
4,12
=
2.48
.Within the range of the orthogonal experiment, the effects of pH, IS, and NOM content on n-TiO2 sedimentation behavior were extremely significant. The effect of the interactions between IS and NOM content was relatively significant and that of the interactions between IS and pH was significant. Only the interaction between pH and NOM content was not significant.Considering the results of variance analysis, we confirmed that the effect of independent factor on n-TiO2 sedimentation behavior was stronger than that of their interactions. In particular, the effect of IS on n-TiO2 sedimentation behavior was the highest. Moreover, the significance of each independent factor and their interactions was consistent with the order of the factors and the interactions influencing the sedimentation of n-TiO2.


## 3.4. Further Simulative Sedimentation Experiments of n-TiO2 with IS

In the orthogonal sedimentation experiment, we discovered that IS, NOM content, and pH were remarkable factors that influence n-TiO2 sedimentation behavior. Hence, we must elucidate the factor that dominatingly affects the sedimentation behavior of n-TiO2.The SE values of n-TiO2 with different pH values and NOM contents at different IS values are shown in Figure 2. At low IS level (0.12 mM), the effect of pH and NOM content on n-TiO2 sedimentation behavior was similar to the results of n-TiO2 sedimentation experiment with single factor. At high IS level (120 mM), the SE of n-TiO2 with different pH values and NOM contents was similar. Moreover, the effects of pH and NOM contents on n-TiO2 sedimentation behavior were almost replaced by those of IS.Figure 2
SE of n-TiO2 with different pH values at different IS values (a) and SE of n-TiO2 with different NOM contents at different ionic IS values (b).
(a)
(b)We concluded that pH and NOM content can affect the sedimentation behavior of n-TiO2 at low IS level because the electric double-layer on the surface of n-TiO2 was not compressed. As IS increased, the cations increased and the electric double-layer on the surface of n-TiO2 was completely compressed. Hence, the effects of pH and NOM content on n-TiO2 sedimentation behavior deteriorated. Consequently, IS governed the sedimentation behavior of n-TiO2 and gradually became the dominating factor.In n-TiO2 sedimentation experiment with single factor, divalent cations can efficiently settle n-TiO2 compared to monovalent cations. The IS of monovalent and divalent cations is a relevant part of the total IS of a solution. In the orthogonal sedimentation experiment, the ratio of monovalent and divalent cations was fixed at 1 : 1. Further studies must focus on the effect of different ratios of monovalent and divalent cations on n-TiO2 sedimentation behavior.Five different ratios of monovalent and divalent cations were selected in this study, and the results are shown in Figure3. At fixed total IS of the solution, the high percentage of divalent cations resulted in high SE of n-TiO2. As the total IS of the solution increased, divalent cations can efficiently influence the sedimentation behavior of n-TiO2. At 0.12 mM total IS, the SE of n-TiO2 with pure divalent cations was slightly higher than that with pure monovalent cations. As the total IS increased to 12 mM, the SE of n-TiO2 with pure divalent cations was twice higher than that with pure monovalent cations. This finding provided a piece of more convincible evidence that divalent ions might be more efficient in compressing the electric double-layer on the surface of n-TiO2 than monovalent ions.Figure 3
SE of n-TiO2 with different ratios of monovalent and divalent cations at different IS values.


## 3.5. Sedimentation Behavior of n-TiO2 in Actual Aquatic Environments

To evaluate the sedimentation behavior of n-TiO2 in actual aquatic environments, we obtained seven different representative environmental water samples. Four factors were analyzed to determine the relationship between these factors and the SE of n-TiO2 (Figure 4). The IS of the environmental water samples was estimated using seven common ions (Na+, K+, Mg2+, Ca2+, Cl−, N
O
3
-, and S
O
4
2
-), and the results were shown in Table S9. In actual aquatic environments, numerous factors and their interactions may affect the sedimentation behavior of n-TiO2. Nevertheless, a single factor can be inferred as the dominating factor if its effect on the sedimentation behavior of n-TiO2 is approximately similar to that in actual aquatic environments.Figure 4
Relationship between SE of n-TiO2 and pH (a), conductivity (b), NOM content (c), and IS (d) of environmental water samples.
(a)
(b)
(c)
(d)On the basis of the expounded theory above and the results of n-TiO2 sedimentation experiments with pH, IS, and NOM content, we considered that the factor exhibiting good correlation with SE of n-TiO2 could be the dominating factor that influences the sedimentation behavior of n-TiO2 in actual aquatic environments.NOM content and pH of the environmental water samples did not demonstrate good correlations with SE of n-TiO2 (Figures 4(c) and 4(a)), and their linear correlation coefficients (R
2) were only 0.024 and 0.199, respectively. In n-TiO2 sedimentation experiment with single factor, the SE of n-TiO2 was lowest at pH of approximately 7.0 and highest with increasing TOC concentration of NOM. The pH of river water sample was 7.1, which was almost equal to 7.0; hence, the SE of n-TiO2 in the river water sample was higher than that in reservoir water sample (pH = 6.8) and tap water sample (pH = 7.4). The TOC concentration of waste water sample was the highest (5.696 mg L−1), but the SE of n-TiO2 in this sample was higher than those in the other environmental water samples. Hence, pH and TOC concentrations were not crucial in the sedimentation of n-TiO2 in actual aquatic environments.Conductivity exhibited a positive correlation with IS. The IS of environment water samples presented an excellent linearity with SE of n-TiO2 (Figures 4(b) and 4(d)). The linear correlation coefficients (R
2) were 0.601 and 0.849, respectively. In n-TiO2 sedimentation experiment with single factor, the SE of n-TiO2 simultaneously increased as the IS of inorganic salt increased. This phenomenon was also observed when n-TiO2 settled in environmental water samples. The IS of phreatic water sample was the highest (59.29 mM), and the SE of n-TiO2 in this sample was also the highest. Conversely, the IS of reservoir water sample was the lowest (0.3740 mM) and the SE of n-TiO2 in this sample was the lowest. Thus, we concluded that IS was the most vital factor that affects the sedimentation behavior of n-TiO2 in actual aquatic environments.In n-TiO2 sedimentation experiment with single factor and multiple factors, we revealed that divalent cations can efficiently influence the sedimentation behavior of n-TiO2. The relationship between SE of TiO2 and IS of monovalent and divalent cations in environmental water samples was shown in Figures 5(a) and 5(b). The linear correlation coefficient of the IS of divalent cations with the SE of TiO2 was higher (R
2 = 0.812) than that of the IS of monovalent cations (R
2 = 0.713). Accordingly, divalent cations significantly contributed to IS in its dominating role in affecting the sedimentation of n-TiO2 in actual aquatic environments.Figure 5
Relationship between SE of n-TiO2 and IS of monovalent (a) and divalent (b) cations of environmental water samples.
(a)
(b)


## 4. Conclusion

The main challenge in assessing the sedimentation behavior of nanoparticles is the complexity of actual aquatic environments. Many factors can influence the sedimentation behavior of nanoparticles in actual aquatic environments. Individual determination of the effect of every single factor and their interactions on the sedimentation behavior of nanoparticles in actual aquatic environments is unrealistic and impossible. Hence, the dominating factor must be identified because it is crucial in evaluating sedimentation behavior of nanoparticles in actual aquatic environments.In this study, an orthogonal experimental design was applied to evaluate the sedimentation behavior of n-TiO2. Through range and variance analyses, we statistically found that the IS of water where n-TiO2 settled played the dominating role in influencing the sedimentation behavior of n-TiO2. This finding was confirmed through sedimentation experiments using environmental water samples. Our findings may simplify assessment of n-TiO2 sedimentation behavior in actual aquatic environments and provide an opportunity to artificially govern the n-TiO2 sedimentation process. Thus, we can prevent the uncontrollable dispersion, movement, and transfer of n-TiO2 in actual aquatic environments and reduce the potential risks of n-TiO2 to humans and eco-system in the future. By determining the IS, we can easily compare and precisely estimate the sedimentation behavior of n-TiO2 in actual aquatic environments.



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*Source: 851928-2015-10-15.xml*