Inhibition of Poly(ethylenediaminetetraacetic acid-diethanolamine) on Deposition of Calcium Sulfate Crystal in Simulated Industrial Water

: Calcium sulfate scale is a typical deposit on the equipment pieces or pipes of an industrial water system. Scale inhibitors could obviously reduce the precipitation of calcium sulfate crystal. The development and research of late-model environmentally friendly polymer inhibitors are often urgent problems to be addressed. A water-soluble poly(ethylenediaminetetraacetic acid-diethanolamine) (PEDTA-DEA) was successfully synthesized by thermal polycondensation of ethylenediaminetetraacetic acid (EDTA) with diethanolamine (DEA). The polymer product was characterized by Fourier infrared spectrum (FTIR) and the molecular weight was measured by gel chromatography, which conﬁrms the polymerization of the two monomers. The inhibition e ﬀ ect of the polymer against calcium sulfate deposition was studied by static scale inhibition tests. When the Ca 2 + concentration is 3000 mg / L, and the dosage of the polymer inhibitor is 10 mg / L, the inhibition e ﬀ ect exceeds 90%. The results show that PEDTA-DEA can inhibit the precipitation of calcium sulfate and reduce the deposition of calcium sulfate scale. The precipitate of calcium sulfate collected from the static scale inhibition test solution was analyzed by FTIR, scanning electron microscope (SEM) and X-ray di ﬀ raction (XRD). The results revealed that the addition of the polymer signiﬁcantly changes the calcium sulfate crystal’s growth shape. Therefore, PEDTA-DEA is a potential calcium sulfate precipitation inhibitor for the industrial water system.


Introduction
Water is often used as the heated fluid in the industrial water system because of its large specific heat capacity [1][2][3]. Due to the evaporation of water, scaling ions, such as calcium and magnesium ions, combine easily with carbonate or sulfate ions [4,5] and then form a low-soluble scale precipitating on the surface of equipment pieces and pipes. As a result, the equipment pieces and pipes become severely corroded and blocked by calcium scale and may even burst [6,7]. Calcium carbonate scale can be easily removed by acid treatment, but once calcium sulfate is formed, removal becomes difficult [8,9]. Therefore, it is necessary to reduce the deposition of calcium sulfate scale in the industrial water system. Using a scale inhibitor is one of the most effective and straightforward methods [10].
Environmentally friendly scale inhibitors have been widely researched and developed with the improvement of public environmental awareness and stricter environmental laws and regulations. The most commonly applied green scale inhibitors are poly(aspartic acid) and its derivatives [21][22][23], as well as polyepoxysuccinic acid and its derivatives [12,24,25]. They are not cost-effective, despite their environmental friendliness and good scale-inhibition effect. Zhao [26] has developed a kind of polymer inhibitor synthesized from citric acid as a monomer. The inhibition performance against CaSO 4 scale is excellent. When the dosage of scale inhibitor is 25 mg/L, the scale inhibition rate is as high as 98.8%. However, the scale inhibition performance for CaCO 3 scale is not good enough. Only when the usage of scale inhibitor reaches 100 mg/L, does the scale inhibition rate reach 87%. Therefore, the development of an up-to-date, environmentally friendly and cost-effective polymer scale inhibitor is currently a focus research.
Most of those polymer inhibitors contain the carboxylic acid (-COOH) group which plays an essential role in the scale inhibition of calcium carbonate and calcium sulfate. In order to obtain the new type of polymer containing suspended carboxylic groups, the selected monomer should also contain multiple carboxylic groups. Ethylenediaminetetraacetic acid (EDTA) contains four carboxylic groups in each of its molecules. It is a non-toxic and harmless compound used as a food additive [27,28], etc. But EDTA has little scale inhibition against CaSO 4 scale and it cannot be used as an inhibitor directly. According to the report [26], the scale inhibition of small molecules gets worse. However, it could be increased through polymerizing small molecules to generate a polymer. The carboxylic acid group can be chemically reacted with the hydroxyl group or amine group to form ester or amide bonds, respectively. Therefore, as a kind of multi-carboxyl molecule, EDTA could be subjected to condensation polymerization with diol or diamine to synthesize a high molecular polymer. Calcium sulfate is a kind of common scale, which often appears in circulating cooling water systems [29], seawater desalination systems [30][31][32] and oilfield water injection systems [13,33]. In order to solve this problem, scale inhibitor has come into being.
In this paper, a new polymer, poly(ethenediaminetetraacetic acid-diethanolamine) (PEDTA-DEA) was prepared by virtue of polycondensation with EDTA and diethanolamine (DEA) as monomers. The inhibition of the polymer against calcium sulfate crystal precipitation was further estimated by the static scale inhibition test and the inhibition performance in different test conditions was evaluated in simulated industrial water.

Materials
The EDTA, DEA, calcium chloride and sodium sulfate used in the experiment are all analytically pure and were purchased at Shanghai Lingfeng Chemical Reagent Co. Ltd., in China. Commercial scale inhibitors, hydroxyethylenediphosphonic acid (HEDP), 2-phosphonbutane-1,2,4-tricarboxylic acid (PBTCA) and polyaspartic acid (PASP, 4000 Da) were provided by the Shanghai Duojia Water Treatment Company in China and are all industrially pure. All of the reagents were used directly without further purification.

Synthesis of Polymer
The typical synthesis process is stated as follows. 2.92 g EDTA and 1.0 mL DEA were placed in a three-neck, round-bottom flask with a 1:1 molar ratio, with 10 mL of N,N-dimethylformamide as solvent, and 5 mL phosphoric acid as catalyst dropped into the round-bottom flask. The flask was kept at 200 • C for 2 h. Then the resulting reaction product was solved in deionized water. We adjusted the pH of the solution to neutral (between 6 and 8) with a 5 mol/L sodium hydroxide solution. At last, the solution was dialyzed by a dialysis membrane (retaining molecular weight >1000 macromolecules). The desired product polymer was obtained from the retained solution by rotary evaporation, which was subsequently dried in vacuum at 50 • C for 24 h.

Characterization of the Prepared Polymers
Fourier transformation infrared (FTIR) spectra were obtained by attenuated total reflection (ATR) method on a Spectrum Two spectrometer (FTIR-8400 S, Shimadzu Co. Ltd., Japan). Alongside, size exclusion chromatography (Agilent 1260, Agilent Ltd., Palo Alto, Santa Clara, CA, USA) was used to determine the molecular weight of the polymers by using polyethylene glycol as the standard and deionized water as the fluent phase.
The hydrogen nuclear magnetic resonance ( 1 HNMR) spectra were obtained at ambient temperature for the reagent solution in the 5-mm-diameter sample tubes on Bruker AVANCE spectrometer (Bruker Bio Spin GmbH., Baden-Wurttemberg, Germany). The reagent solution was DMSO-d 6 . The stability of the polymer was analyzed by thermogravimetric (TG) analysis (NETZSCH STA 449F3, NETZSCH-Gerätebau GmbH., Selb, Germany). The temperature range for testing was 25-600 • C, and the whole process was carried out in a nitrogen atmosphere. The heating rate was 10 • C/min.

Evaluation of Polymer Inhibition Performance of Precipitation
The scale inhibition performance was evaluated by a static scale inhibition test according to the Standards for Petroleum and Natural Gas Industry of the People's Republic of China Q/SY126-2014. The 50 mL test solution contained 3000 mg/L Ca 2+ (made by calcium chloride), 3000 mg/L SO 4 2− (made by sodium sulfate) and a certain amount of the prepared polymer inhibitor. The test solution was placed in a water bath at 80 • C for 10 h. Then the solution was filtered after being cooled to room temperature. We accurately measured 10.00 mL filtrate, and added two drops of chrome black T indicator and 1.0 mL ammonia-ammonium chloride buffer solution. The calcium in the solution was titrated with 0.1 mol/L of ethylenediaminetetraacetie disodium (EDTA-Na) standard solution. The inhibition ratio was calculated by the following Equation (1).
where V 0 is the consumption volume of the EDTA-Na standard solution to titrate the blank solution without inhibitor. V 1 is the consumption volume of the EDTA-Na standard solution to titrate the mixed solution without inhibitor, kept at 80 • C for 10 h. V 2 is the consumption volume of the EDTA standard solution to titrate the mixed solution with inhibitor, kept at 80 • C for 10 h. Similarly, the scale inhibition performance was evaluated according to the national standard of China numbered GB/T 16632-2008 (named "Determination of Scale-Inhibition Performance of Water Treatment Agents-Calcium Carbonate Precipitation Method"). There was 240 mg/L Ca 2+ (made by calcium chloride), 732 mg/L HCO 3 − (made by sodium bicarbonate) and a certain amount of the prepared polymer inhibitor contained in the solution. The test solution was placed in a water bath at 80 • C for 10 h, and we maintained the initial pH of the solution at 9.0 under borax buffer. Then the solution was filtered after it was cooled to room temperature. 10.00 mL filtrate was accurately measured, followed by adding two drops of chrome black T indicator as well as 1.0 mL of ammonia-ammonium chloride buffer solution. The calcium in the solution was titrated with 0.01 mol/L of ethylenediaminetetraacetie disodium (EDTA-Na) standard solution. The inhibition ratio was calculated by the Equation (2) as follows.
where V 0 is the consumption volume of the EDTA-Na standard solution to titrate the blank solution without inhibitor. V 1 is the consumption volume of the EDTA-Na standard solution to titrate the combined solution without inhibitor, kept at 80 • C for 10 h. V 2 is the consumption volume of the EDTA standard solution to titrate the mixed solution including inhibitor, kept at 80 • C for 10 h.

The Morphology of the Calcium Sulfate Crystal Precipitation
Calcium sulfate crystal obtained from the static scale inhibition experiment was sprayed with a sputter-thin, gold film onto the surface of the precipitation particles. Then the particles were observed by a scanning electron microscope (SEM) at an accelerating voltage of 15 kV. The X-ray diffraction (XRD) mode of the calcium sulfate powder was recorded with the aid of copper Kα radiation using a D8 advanced X-ray diffractometer (Bruker AXS GmbH, Karlsruhe, Germany).

Structure of Prepared Polymers
The condensation polymerization may occur between carboxyl groups of EDTA and the hydroxyl groups or amine groups of DEA (as shown in Figure 1). There are four carboxyl groups in each EDTA molecule (see Figure 1a), and two hydroxyl groups and one amine group in each DEA molecule (see Figure 1b). According to chemical principles, an esterification reaction occurs between a carboxyl group and a hydroxyl group or an amidation reaction occurs between a carboxyl group and an amine group, catalyzed by acid or base as a catalyst. Thus, EDTA and DEA can be thermally polycondensed to produce polymers. As mentioned above, the configuration of the polymer is not necessarily a mono-linear polymerization, but may be branched. The polymer presented in Figure 1 consists of a plurality of carboxyl groups, and can continue to react to form an ester bond or an amide bond. In short, there are many carboxyl, ester and amide groups in PEDTA-DEA.

The Morphology of the Calcium Sulfate Crystal Precipitation
Calcium sulfate crystal obtained from the static scale inhibition experiment was sprayed with a sputter-thin, gold film onto the surface of the precipitation particles. Then the particles were observed by a scanning electron microscope (SEM) at an accelerating voltage of 15 kV. The X-ray diffraction (XRD) mode of the calcium sulfate powder was recorded with the aid of copper Kα radiation using a D8 advanced X-ray diffractometer (Bruker AXS GmbH, Karlsruhe, Germany).

Structure of Prepared Polymers
The condensation polymerization may occur between carboxyl groups of EDTA and the hydroxyl groups or amine groups of DEA (as shown in Figure 1). There are four carboxyl groups in each EDTA molecule (see Figure 1a), and two hydroxyl groups and one amine group in each DEA molecule (see Figure 1b). According to chemical principles, an esterification reaction occurs between a carboxyl group and a hydroxyl group or an amidation reaction occurs between a carboxyl group and an amine group, catalyzed by acid or base as a catalyst. Thus, EDTA and DEA can be thermally polycondensed to produce polymers. As mentioned above, the configuration of the polymer is not necessarily a mono-linear polymerization, but may be branched. The polymer presented in Figure 1 consists of a plurality of carboxyl groups, and can continue to react to form an ester bond or an amide bond. In short, there are many carboxyl, ester and amide groups in PEDTA-DEA. Infrared spectra of EDTA and DEA are obviously different from the polymer products. In the infrared spectrum of EDTA (curve a in Figure 2A), the stretching vibration peaks of -CH2-are 3017 cm −1 and 1439 cm −1 and the C=O bond in the carboxylic acid group is 1683 cm −1 . The peak at 1388 cm −1 is the C-N bond, 1310 cm −1 is the bending vibration of the C-C bond and 765 cm −1 is the stretching vibration peak of the C-O bond in C-OH. In the infrared spectrum of DEA (curve b in Figure 2A  Infrared spectra of EDTA and DEA are obviously different from the polymer products. In the infrared spectrum of EDTA (curve a in Figure 2A), the stretching vibration peaks of -CH 2 -are 3017 cm −1 and 1439 cm −1 and the C=O bond in the carboxylic acid group is 1683 cm −1 . The peak at 1388 cm −1 is the C-N bond, 1310 cm −1 is the bending vibration of the C-C bond and 765 cm −1 is the stretching vibration peak of the C-O bond in C-OH. In the infrared spectrum of DEA (curve b in Figure 2A), 3296 cm −1 is the stretching vibration peak of -OH while 2837 cm −1 is the stretching vibration peak of -CH 2 -. -NH-bond vibration peaks are at 1453 cm −1 (in-plane bending) and 861 cm −1 (out-of-plane vibration), respectively. The in-plane bending vibration peak of the O-H bond is 1361 cm −1 , 1122 cm −1 is the stretching vibration peak of the C-N bond and 1050 cm −1 is the stretching vibration peak of the C-O bond. In the infrared spectrum of the polymer (curve c in Figure 2A), the stretching vibration peak of -CH 2 -is at 2975 cm −1 and 1501 cm −1 . The peaks at 1654 cm −1 and 1648 cm −1 are the carbonyl groups in the suspension carboxylic -COOH, amide groups R-CO-NR 2 and ester groups -CO-O-. Moreover, the vibration peak of the C-O bond in the carbonyl group is at 1466 cm −1 .
Comparing the three infrared spectra in Figure 2A, the newly generated peak at 1397 cm −1 is the stretching vibration peak of the C-N-C bond and the peak at 1167 cm −1 is the stretching vibration peak of the C-N in the amide bond (curve c in Figure 2A). Simultaneously, the intensity of the peaks of -C-O-(H) and -NH-in curve c of Figure 2A are both weaker than that of the peaks in curve a and curve b of Figure 2A. It can be known these groups will reduce when the polymer is formed, all of which indicate that the two monomers have successfully transferred into the polymer.
The 1 H NMR was recorded on Bruker AVANCE spectrometer (as shown in Figure 2B-D). Chemical shifts (δ) were expressed in ppm relative to the residual of solvent (DMSO 2.5 ppm for 1 H NMR). Coupling constants (J) were recorded in hertz (Hz). Multiplicities explained by the following abbreviations: s, singlet; d, doublet; t, triplet; q, quartet. 1  Comparing the three infrared spectra in Figure 2A, the newly generated peak at 1397 cm −1 is the stretching vibration peak of the C-N-C bond and the peak at 1167 cm −1 is the stretching vibration peak of the C-N in the amide bond (curve c in Figure 2A). Simultaneously, the intensity of the peaks of -C-O-(H) and -NH-in curve c of Figure 2A are both weaker than that of the peaks in curve a and curve b of Figure 2A. It can be known these groups will reduce when the polymer is formed, all of which indicate that the two monomers have successfully transferred into the polymer. The stability of the polymer was determined by thermogravimetry and the results are shown in Figure 2E. When the test temperature of thermogravimetric analysis (TGA) is at the range of 100 • C-200 • C, the stability of the polymer is similar to that of the raw material. When the temperature is over 250 • C, the polymer is much more stable than EDTA and DEA. The highest temperature used in this experiment was 180 • C, so PEDTA-DEA has good stability.
The molecular weight of the polymer is measured by size exclusion chromatography. The number average molecular weight (Mn) of the PEDTA-DEA was 1.97 × 10 4 Da, and the polydispersity coefficient of the polymer was 1.4. All of these illustrate that the condensation polymerization was carried out efficaciously.

Precipitation Inhibition Performance of Prepared Polymers
The precipitation inhibition of the prepared polymers was evaluated by a static scale inhibition test. It can be observed that all of the polymers have distinct inhibition performance against calcium scale crystal precipitation. When the dosage of the polymer inhibitor is 20 mg/L, the inhibition rate can reach 93.2%, and the inhibition effect will not increase much as the dosage of polymer increases. Some of other inhibitors show similar performance to calcium sulfate [8,23,34] and all manifested threshold effects.
The precipitation inhibition properties of the polymers are related to the types and amounts of functional groups on the polymer. The main functional group that is capable of inhibiting calcium sulfate may be a carboxylic acid group (-COOH) [26]. The molecular structure of the polymer is shown in Figure 1, and the molecular structures of PBTCA, HEDP and PASP are presented individually in  The differences of molecular structure lead to different precipitation inhibition performances. According to the static scale inhibition tests, the inhibition rates of the synthesized polymer on calcium sulfate and calcium carbonate are better than those of EDTA, DEA, hydroxyethylenediphosphonic acid (HEDP), 2-phosphonbutane-1,2,4-tricarboxylic acid (PBTCA), polyaspartic acid (PASP) and the compound (the combination of two monomers) (as shown in Figure 4A). The little molecule compounds, EDTA, DEA or the combination of monomers, are not suitable inhibitors for calcium sulfate scale, because the scale inhibition rate is still less than 10 % even when the dosage is 25 mg/L. Although the inhibition rate of 25 mg/L PBTCA is up to 50 % on the calcium sulfate scale, it is not as functional an inhibitor as the polymer. This is due to the fact the The differences of molecular structure lead to different precipitation inhibition performances. According to the static scale inhibition tests, the inhibition rates of the synthesized polymer on calcium sulfate and calcium carbonate are better than those of EDTA, DEA, hydroxyethylenediphosphonic acid (HEDP), 2-phosphonbutane-1,2,4-tricarboxylic acid (PBTCA), polyaspartic acid (PASP) and the compound (the combination of two monomers) (as shown in Figure 4A). The little molecule compounds, EDTA, DEA or the combination of monomers, are not suitable inhibitors for calcium sulfate scale, because the scale inhibition rate is still less than 10% even when the dosage is 25 mg/L. Although the inhibition rate of 25 mg/L PBTCA is up to 50% on the calcium sulfate scale, it is not as functional an inhibitor as the polymer. This is due to the fact the carboxyl group, ester bond and amide bond have scale inhibition effects on calcium sulfate and can chelate with calcium ion, making it difficult to form scale. After adding a scale inhibitor, the scale inhibition performance has not been obviously improved. Although test conditions are different, similar test results [26,35,36] were obtained.
The differences of molecular structure lead to different precipitation inhibition performances. According to the static scale inhibition tests, the inhibition rates of the synthesized polymer on calcium sulfate and calcium carbonate are better than those of EDTA, DEA, hydroxyethylenediphosphonic acid (HEDP), 2-phosphonbutane-1,2,4-tricarboxylic acid (PBTCA), polyaspartic acid (PASP) and the compound (the combination of two monomers) (as shown in Figure 4A). The little molecule compounds, EDTA, DEA or the combination of monomers, are not suitable inhibitors for calcium sulfate scale, because the scale inhibition rate is still less than 10 % even when the dosage is 25 mg/L. Although the inhibition rate of 25 mg/L PBTCA is up to 50 % on the calcium sulfate scale, it is not as functional an inhibitor as the polymer. This is due to the fact the carboxyl group, ester bond and amide bond have scale inhibition effects on calcium sulfate and can chelate with calcium ion, making it difficult to form scale. After adding a scale inhibitor, the scale inhibition performance has not been obviously improved. Although test conditions are different, similar test results [26,35,36] were obtained.  Compared with other inhibitors, the scale inhibition effect of the synthesized polymer on calcium carbonate is inclined to be better (refer to Figure 4B). When the polymer concentration is 15 mg/L, the precipitation inhibition rate can reach about 70 %. Therefore, diethylenediamine tetraacetate diethanolamine is a kind of polymer with inhibition on calcium sulfate and calcium  Compared with other inhibitors, the scale inhibition effect of the synthesized polymer on calcium carbonate is inclined to be better (refer to Figure 4B). When the polymer concentration is 15 mg/L, the precipitation inhibition rate can reach about 70%. Therefore, diethylenediamine tetraacetate diethanolamine is a kind of polymer with inhibition on calcium sulfate and calcium carbonate precipitation.

Different Conditions of Inhibition Test
The initial Ca 2+ concentration in the solution also has influences on the precipitation inhibition performance of prepared polymers against calcium sulfate. As the calcium ion concentration increases, the inhibition rate decreases. Figure 5A reveals the inhibition of the polymer against calcium sulfate at different initial Ca 2+ concentrations. It can be found that when the Ca 2+ concentration is 2040 mg/L, the scale inhibition effect of the polymer achieves the best performance. When the polymer concentration is 3 mg/L, the scale inhibition rate reaches 89.58%. As the calcium ion concentration increases, the inhibitor effect of the polymer becomes worse. However, when the calcium ion concentration is 4000 mg/L and the amount of polymer is 25 mg/L, the scale inhibition rate can also reach 55.6%.
With the rise of the concentration of calcium ions, the probability of collision and recombination between calcium ions and sulfate ions increases, the precipitation is easier to appear, and the inhibition effect weakens.
The inhibition performance of polymers on calcium sulfate precipitation is affected by the heating time of the water bath, as shown in Figure 5B. The inhibition rates of the polymer were determined at 6 h, 10 h, 14 h, 24 h and 36 h, and did not change much at different water bath times. When the polymer concentration is 10 mg/L, its scale inhibition rate reaches 90%. It can be considered that the synthetic polymer scale inhibitor possesses a strong ability to chelate calcium ions. The calcium ions' precipitation from the solution was still delayed despite the increase of heating time. The results show that the effect of heating time in the water bath on the polymer is small, so that it can inhibit the precipitation of calcium sulfate for a long time.
Temperature is a significant factor affecting precipitation inhibition efficiency. Figure 5C demonstrates the inhibition performance of polymer precipitation inhibitor on calcium sulfate when the water bath temperature is differently set at 50 • C, 80 • C, 120 • C, 150 • C and 180 • C.
With the temperature of the water bath increasing, the precipitation inhibition performance of precipitation inhibitor against calcium sulfate is getting worse (according to Figure 5C). When the temperature of the water bath rises, the movement of the molecules will become more intense. The probability that calcium ions collide with the sulfate ions will also increase, so that the precipitation will be formed more easily. As a result, the effect of precipitation on calcium sulfate becomes worse and worse.

Characterization and Analysis of Calcium Sulfate Precipitate
The precipitation of CaSO 4 prepared by adding different doses of precipitation inhibitor is compared with that without precipitation inhibitor. The changes of crystal morphology are manifested in Figure 6.
With the temperature of the water bath increasing, the precipitation inhibition performance of precipitation inhibitor against calcium sulfate is getting worse (according to Figure 5C). When the temperature of the water bath rises, the movement of the molecules will become more intense. The probability that calcium ions collide with the sulfate ions will also increase, so that the precipitation will be formed more easily. As a result, the effect of precipitation on calcium sulfate becomes worse and worse.

Characterization and Analysis of Calcium Sulfate Precipitate
The precipitation of CaSO4 prepared by adding different doses of precipitation inhibitor is compared with that without precipitation inhibitor. The changes of crystal morphology are manifested in Figure 6. Most of the CaSO 4 precipitation particles without polymer inhibitor are slim and tenuous. The surface of the needle-like precipitation is flat and smooth. With the addition of the polymer inhibitor, the originally smooth surface becomes irregular and needle-like precipitation becomes wide and thick. When the dosage of precipitation inhibitor increases, the surface of the CaSO 4 precipitation particles becomes uneven and many defects appear. The crystal also changes from a regular, long strip to a short, irregular crystal. These changes illustrate that adding precipitation inhibitor has a great influence on the growth process and morphology of CaSO 4 crystal [36]. Calcium precipitation added with precipitation inhibitor is more likely to flow with water rather than adhere to the pipeline. There are inevitably solid impurities in the water [37] which will become the nucleation center of gypsum. After adding scale inhibitor, the scale inhibitor will be adsorbed on the surface of solid impurities in the form of calcium salt, thus blocking the nucleation of calcium sulfate and preventing the formation of scale [37,38].
In order to further investigate the calcium sulfate crystal, the precipitation obtained from the static scale inhibition experiment was subjected to XRD testing. The diffraction patterns of calcium sulfate crystals with and without the inhibitor are shown in Figure 7.
center of gypsum. After adding scale inhibitor, the scale inhibitor will be adsorbed on the surface of solid impurities in the form of calcium salt, thus blocking the nucleation of calcium sulfate and preventing the formation of scale [38,39].
In order to further investigate the calcium sulfate crystal, the precipitation obtained from the static scale inhibition experiment was subjected to XRD testing. The diffraction patterns of calcium sulfate crystals with and without the inhibitor are shown in Figure 7. In the absence of precipitation inhibitor, the diffraction peaks are mainly distributed at 14.7°, 25.6° and 29.7°, which are the diffraction peaks of calcium sulfate crystals lattice planes of (100), (110) and (200), respectively. After adding polymer inhibitor, the main diffraction peaks appear at 11.6 °, 20.7°, 23.4°, 29.1° and 31.1°, corresponding to lattice faces of (020), (021), (040) (041) and (−221) of gypsum (syn) [40,41]. What is mentioned above indicates that the polymer has altered the crystal type of calcium sulfate precipitation.
The calcium sulfate precipitation is characterized by infrared spectroscopy (shown in Figure 8).  The infrared absorption peak of calcium sulfate precipitation mainly appearing at 3487 cm −1 , 3396 cm −1 and the peak at 1681 cm −1 are the stretching vibration peaks of the hydroxyl group, the peaks at 666 cm −1 and 597 cm −1 represent the stretching and bending vibration of sulfate, the peak at 1096 cm −1 is the stretching vibration of S-O and the peak at 1619 cm −1 is the stretching vibration of S=O [42,43]. If we choose the intensity of absorption peaks at 1096 cm −1 (I1096) as standard, the intensities of absorption peaks at 1681 cm −1 , 666 cm −1 and 597 cm −1 will obviously become weaker, while the intensities of absorption peaks at 3487 cm −1 , 3396 cm −1 and 1619 cm −1 will be stronger. Compared with the hydroxyl vibration peak of calcium sulfate, the tendency of hydroxylation is strong, which indicates that the crystal form of calcium sulfate has changed [44]. This is also consistent with the results of the XRD.
As mentioned above, the crystal structure of the calcium sulfate precipitation can be significantly changed by adding the polymer inhibitor. That is the lattice distortion caused by the The infrared absorption peak of calcium sulfate precipitation mainly appearing at 3487 cm −1 , 3396 cm −1 and the peak at 1681 cm −1 are the stretching vibration peaks of the hydroxyl group, the peaks at 666 cm −1 and 597 cm −1 represent the stretching and bending vibration of sulfate, the peak at 1096 cm −1 is the stretching vibration of S-O and the peak at 1619 cm −1 is the stretching vibration of S=O [41,42]. If we choose the intensity of absorption peaks at 1096 cm −1 (I1096) as standard, the intensities of absorption peaks at 1681 cm −1 , 666 cm −1 and 597 cm −1 will obviously become weaker, while the intensities of absorption peaks at 3487 cm −1 , 3396 cm −1 and 1619 cm −1 will be stronger. Compared with the hydroxyl vibration peak of calcium sulfate, the tendency of hydroxylation is strong, which indicates that the crystal form of calcium sulfate has changed [43]. This is also consistent with the results of the XRD.
As mentioned above, the crystal structure of the calcium sulfate precipitation can be significantly changed by adding the polymer inhibitor. That is the lattice distortion caused by the polymer inhibitor in the precipitation formation process. The polymer molecules adsorbing to the surface of the CaSO 4 crystals not only hinder the growth of CaSO 4 crystals but also make the crystal structure unstable and distorted, causing the formed CaSO 4 precipitation to be easily washed away.

Conclusions
PEDTA-DEA was successfully synthesized by a thermal polycondensation reaction with EDTA and DEA as monomers. The synthesis conditions for PEDTA-DEA are 1:1 monomer molar ratio of EDTA to DEA, 200 • C polymerization temperature and 2 h for a reaction. The polymer produces excellent inhibition effect on calcium sulfate precipitation. According to the static test, when Ca 2+ concentration is 3000 mg/L, and the amount of the polymer inhibitor is 10 mg/L, the inhibition rate exceeds 90%. Considering that the scale inhibition rate increases with the growth of polymer concentration, and that the polymer inhibitor can apparently distort the precipitation crystal structure and impact on it, based on the results of SEM, XRD and FTIR. Consequently, the polymer PEDTA-DEA is prepared as a kind of potential precipitation inhibitor against calcium sulfate crystal.