Powder Technology 406 (2022) 117570 Contents lists available at ScienceDirect Powder Technology journal homepage: www.journals.elsevier.com/powder-technology Effect of TIPA/TEA combined grinding aid on the behavior of quartz flotation in DDA system Yong Mao , Zehong Wang *, Wengang Liu , Pengcheng Tian College of Resources and Civil Engineering, Northeastern University, Shenyang, Liaoning 110819, China H I G H L I G H T S G R A P H I C A L A B S T R A C T • TIPA/TEA can significantly improve grinding efficiency of quartz. • TIPA/TEA combined grinding aid can increase the recovery of quartz in DDA system. • Grinding aid and collector played a synergistic role instead of competitive adsorption. • TIPA/TEA can promote the adsorption of DDA. A R T I C L E I N F O A B S T R A C T Keywords: Combined grinding aid TIPA/TEA Quartz Flotation Adsorption In this paper, different dosages of TIPA, TEA and their combined grinding aid were added to the process of quartz grinding and their influence on the grinding efficiency and flotation recovery in DDA system was investigated. From the grinding and flotation experiments, It can be known that the effect of the combined grinding aid was better than that of a single reagent, which can not only significantly improve the grinding efficiency of quartz, but also increase the recovery of quartz from flotation. Based on the results of FT-IR spectroscopy, XPS analysis, quantum chemistry and solution chemistry calculations, it can be seen that the hydroxyl groups in the TIPA/TEA combined grinding aid formed hydrogen bonds with O on the (101) surface of quartz, while collector DDA was mainly electrostatically adsorbed on the surface of quartz with negative potential, and the introduction of combined grinding aid improved the adsorption of DDA, the grinding aid and collector played a synergistic role instead of competitive adsorption. The detection of contact angle and surface tension showed that the combined grinding aid can improve the hydrophobicity of quartz, reduce the surface tension and CMC value of DDA, and enhance the dispersibility of quartz, therefore, it can increase the recovery of quartz from flotation. * Corresponding author. E-mail address: wangzehong@mail.neu.edu.cn (Z. Wang). https://doi.org/10.1016/j.powtec.2022.117570 Received 16 March 2022; Received in revised form 17 May 2022; Accepted 25 May 2022 Available online 30 May 2022 0032-5910/© 2022 Elsevier B.V. All rights reserved. Y. Mao et al. Powder Technology 406 (2022) 117570 1. Introduction Without adding equipment or changing the existing production processes, grinding aids were used to improve grinding efficiency and reduce grinding energy consumption [1–3]. However, after the grinding aids were added to the process of grinding, it is necessary to consider their impact on subsequent sorting operations, especially flotation op­ erations [4]. As is well known, the flotation behavior of minerals was mainly determined by their crystal structure, surface properties and pulp properties, and these factors will be significantly affected by the grinding process before the flotation operation [5]. From the perspective of the grinding-flotation system, grinding was a complex physico­ chemical process, which will cause a series of changes in the surface properties, crystal structure, particle size of minerals, and the chemistry of the slurry solution, at the same time, it will also lead to a series of problems, such as sludge cover caused by fine grinding, accelerated oxidation of ground minerals, and a low grinding efficiency [6]. When chemical grinding aids were added in the process of grinding, they will definitely affect the surface properties of minerals and the properties of the slurry, thereby affecting the flotation behavior of minerals. How­ ever, the influence of grinding aids on flotation operations was rarely studied [7]. Therefore, further research on the influence of grinding aids on the behavior of minerals flotation and broadening the application of grinding aids in the field of mineral processing has important theoretical and practical significance for adjusting the separation process conditions and improving the separation efficiency and indicators. Whether quartz was discarded as a gangue mineral or purified as a raw material of non-metallic minerals, flotation was one of the effective methods to collect it [8–10]. The current flotation reagents of quartz can be divided into cationic collectors, anionic collectors and the anion/ cation mixed collectors [11]. DDA was used as a cation collector and had a wide range of applications in the flotation system of quartz [12]. TIPA and TEA, as common grinding aids, were widely used in the grinding of cement and bauxite [13], but their influence on the grinding efficiency and flotation behavior of quartz remains to be studied [14]. In this study, the influence of TIPA, TEA and their combined grinding aids on the grinding efficiency of quartz was discussed. On this basis, DDA was selected as a collector to study the effect of grinding aids on the flotation behavior of quartz. A variety of detection and calculation methods (FT-IR spectroscopy, XPS detection, quantum chemistry calculation, solution chemistry calculation, contact angle and surface tension detection) were used to reveal the influence mechanism of the combined grinding aids on the flotation behavior of quartz. The research results of this paper provide strong proof of the synergistic effect be­ tween grinding aids and flotation collectors, and lay the foundation for the selection and application of grinding aids. Fig. 1. Characteristic curve of particle size of material. Fig. 2. X-ray diffraction of sample. Table 1 X-ray fluorescence spectroscopy of sample. 2. Materials and methods Element SiO2 CaO Al2O3 K2O Na2O MgO TFe Loss Content /% 98.37 0.01 0.09 0.11 0.03 0.03 0.42 0.04 acid, HCl; Sodium hydroxide, NaOH, the reagents were all analytical and were used without further purification. 2.1. Materials 2.1.1. Mineral samples The raw quartz, tested in this research, was taken from Guangxi Province, China. The sample with the size of less than 1.6 mm was ob­ tained after being crushed, hand-selected, ground, and sieved. The particle size characteristic curve of the product was shown in Fig. 1. The crystal phase structure of quartz and its chemical element components were studied by using X-ray diffraction (XRD) and X-ray fluorescence spectroscopy (XRF), the corresponding analysis results of the test ore samples were shown in Fig. 2 and Table 1. It can be seen that the content of SiO2 was 98.37% in the sample, indicating the high purity of quartz, which can meet the requirements of the subsequent experiments. 2.2. Methods 2.2.1. Grinding test A laboratory conical ball mill with a diameter of 150 × 50 mm and a volume of 1 L produced in Hubei Province, China, was used for the grinding test. The optimal grinding parameters of quartz without adding grinding aids were conducted with a series of exploratory experiments, in which, the grinding method was wet grinding, steel balls were adopted as the grinding medium, aiming to reduce the grinding time and maximize the effect of the grinding aids. The medium filling ratio (Ф) was 50% (Volume ratio); the size of medium and the mass ratio was m (Ф30 mm): m (Ф20 mm): m (Ф15 mm) = 30: 25: 45; the material-ball ratio (Фm) was 0.8 (Volume ratio); the grinding concentration pulp was 60% (Mass ratio); and the grinding time was 30 min. The supply of quartz fed into the ball mill each time in the test was calculated by Eq. 2.1.2. Reagents Triisopropanolamine (TIPA), [CH3CH(OH)CH2]3N; Triethanolamine (TEA), C6H15NO3; Dodecylamine (DDA), CH3(CH2)11NH2; hydrochloric 2 Y. Mao et al. Powder Technology 406 (2022) 117570 (1) [15]. The mineral sample with 243.20 g was added to the ball mill, then 162.13 mL water was added, and finally an appropriate amount of grinding aid solution was added (The mass of grinding aid accounts for the percentage of the mass of quartz). After the grinding, the particle size of the grinding products was analyzed by the standard inspection sieve and vibrating sieve machine produced in Zhejiang Province, China, and the grinding effect of the grinding aid was evaluated with the content of − 0.043 mm particle size. W = μVΦΦm Sm 2.2.5. Quantum chemistry calculation Through the molecular dynamics simulation of the interaction be­ tween the mineral surface and the reagent, the nature of the reagent’s effect on the mineral was explored, and the interaction between reagents and minerals was provided at the molecular micro level, which could deepen the understanding of the interaction between the reagents and minerals and provide a theoretical basis for flotation. In this study, the CASTEP module based on quantum mechanics calculations in the Ma­ terial studio 7.0 (MS) software was used to calculate the energy and properties of the interaction system of minerals and reagents, and was used to explore the effects of grinding aid molecules on the surface properties of quartz, and the influence mechanism on the flotation behavior [19]. (1) Where W is the mass of the materials, g; μ is the ratio of the void volume in the medium to the medium volume,when the grinding medium was steel balls, the μ was calculated to be 0.38 (Volume ratio); V is the effective volume of the mill, cm3; Ф is the ratio of the loose volume of the grinding medium in the stationary state to the effective volume of the mill, % (Volume ratio); Фm is the ratio of the loose volume of the materials to the pore volume of the medium (Volume ratio); Sw is the bulk density of the material, g/cm3. 2.2.6. Contact angle measurement The XG-CMAB contact angle measuring instrument was used to detect the contact angle of quartz under the environment of different reagents. In the optimal conditions, the quartz was mixed with TIPA, TEA, TIPA/TEA, DDA and TIPA/TEA + DDA. After being fully reacted, it was baked at a low temperature for later use. The change of contact angle was used to analyze the influence of grinding aids and collectors on the wettability of the quartz surface [20]. 2.2.2. Flotation test In order to avoid the influence of impurity ions on the flotation test, the flotation materials were prepared by grinding with ceramic ball media. After adding different types and amounts of grinding aids, flotation materials with the quartz content of 90% -0.074 mm and 65% -0.043 mm were obtained by controlling the grinding time. The grinding aids and quartz were fully ground by the ceramic medium, and after natural air drying, the flotation materials were obtained. The flotation test was carried out by using an XFGII5–35 flotation machine equipped with a 40 mL flotation tank at room temperature (20 ◦ C). Each time 2.0 g of flotation materials were weighed, placed in a 40 mL flotation tank, and distilled water was added. Subsequently, HCl and NaOH were used to adjust the pH value of the slurry for 2 min, then the collector DDA was added to the tank with the stirring of 3 min. After that, the pulp was stirred for another 2 min. Scraping the foam with a scraper until all froth products were collected. The foam products andthe products in the tank were dried and weighed separately, and the flotation recovery was calculated. The change of flotation recovery was used to analyze the influence of grinding aids on the flotation behavior of quartz [16]. 2.2.7. Surface tension test The Pendant drop (PD) method in KRUSS surface tensiometer was used to measure the surface tension of different reagents at different concentrations. A certain amount of medicament was added to a 100 mL beaker containing 50 mL of distilled water, and after being stirred by a magnetic stirrer at a speed of 1800 r/min for 5 min, the surface tension of the reagents solution under this amount was measured. Each sample was tested 4 times and the average value was taken [21]. 3. Results and discussion 3.1. Grinding efficiency test 3.1.1. Grinding experiment of a single grinding aid Before exploring the influence of grinding aids on subsequent flota­ tion operations, the influence of grinding aids on quartz grinding effi­ ciency was worthy of priority research. Relevant studies had shown that the finer the particle size of minerals was ground, the more significant effect of using grinding aids [22]. In production practice, the grinding efficiency can be expressed either as the mass of materials processed per 1 kWh of energy consumed, or as the content of new qualified grades per 1 kWh of energy consumed, so under the same grinding conditions, the grinding efficiency is proportional to the content of qualified grade [5]. In this study, the content of − 0.043 mm was used to evaluate the index of grinding efficiency. When the mill feed was the same, the content of − 0.043 mm in the grinding products were directly proportional to the grinding efficiency [23]. The molecular structure of the selected grinding aids TIPA and TEA was shown in Fig. 3. The amount of TIPA or TEA at 0.01%, 0.03%, 0.05%, 0.07%, and 0.09% was added to the grinding process of quartz, the − 0.043 mm content of the resulting grinding product was shown in Fig. 4(a). It can be seen that the content of − 0.043 mm particle size in the grinding product first increased and then decreased with the increase of TIPA dosage, and reached the maximum value of 67.62% when the TIPA usage was 0.07%, which increased by 7.62 percentage points in comparison of no grinding aid in the process of grinding. As for the grinding aid TEA, its influence trend on the content of − 0.043 mm particle size was consistent with TIPA, The content of − 0.043 mm reached the maximum value of 65.61% when the addition amount was 0.03%, which increased by 5.61 percentage points in comparison of no grinding aid. Obviously, both TIPA and TEA can improve the grinding efficiency of quartz, and the effect of grinding aid TIPA was better than that of TEA. 2.2.3. FT-IR spectroscopy A Nicolet 740 FT-IR spectrometer was used to obtain the FT-IR spectra of quartz adsorbed with TIPA/TEA, DDA and TIPA/TEA + DDA at room temperature (20 ◦ C). Mineral (10 g) was added to distilled water (30 mL) to prepare a suspension, and different concentrations of TIPA/TEA, DDA, or TIPA/TEA + DDA were added to the suspension at pH = 6.2. After the suspension was stirred for 30 min, the quartz samples adsorbed with TIPA/TEA, DDA and TIPA/TEA + DDA were dehydrated and then washed with distilled water 3 times. The sample was dried at 40 ◦ C for 72 h, and 1 mg of the sample was mixed with 100 mg of spectral pure KBr to measure FT-IR. The scanning range was from 400 to 4000 cm− 1, the resolution was 2 cm− 1, and the number of scans was 20 [17]. 2.2.4. XPS measurements The XPS spectra of TIPA/TEA, DDA and TIPA/TEA + DDA were measured with Thermo VG ESCALAB250 spectrometer, the radioactive source was Al-Kα, the power was 150 W, and the XPS measurement was performed in an analysis chamber with a high vacuum of about 5.0 × 10− 7 Pa. In each test, sample (1 g) was added to 30 mL of distilled water, and then different reagents were added. After the solution was stirred for 0.5 h, the suspension of different samples was filtered, washed with distilled water 3 times, and dried in vacuum at about 40 ◦ C. The test result was calibrated using the value of C 1 s binding energy of 284.80 eV as a standard [18]. 3 Y. Mao et al. Powder Technology 406 (2022) 117570 Fig. 3. Molecular structure of grinding aid. (a) TIPA, (b) TEA. be observed that the changes in the content of − 0.043 mm particle size for the combined grinding aids with different mass ratios show the similar trend within the scope of the test and investigation, namely, the content of − 0.043 mm particle size increase first and then is reduced. As the increase of the proportion of TIPA in the combined grinding aid, the content of − 0.043 mm also increase. When TIPA:TEA = 2:1 and the dosage is 0.07%, the TIPA/TEA have the best grinding effect, and the content of − 0.043 mm increase by 9.81 percentage points than that of no grinding aid. The grinding efficiency of combined grinding aid is better than using TIPA or TEA individually. Relevant studies have proved that the molecular adsorption of grinding aids can reduce the hardness of minerals and adjust the rheological properties of the slurry, which can be used to explain the mechanism of the grinding aids [25]. The influence of grinding aids on subsequent flotation operations and the corrsponding mechanism are the main research focus in this article. 3.2. Flotation experiment 3.2.1. Flotation parameter optimization Given that the low solubility in aqueous solution, DDA was selected as the collector. It was dissolved in hydrochloric acid during the test for use in flotation tests [26]. The dosage of DDA is fixed at 60 mg/L. Under different pH conditions, the change in the recovery of quartz flotation is shown in Fig. 5(a). The results indicate that the floatability of quartz in the DDA system is significantly affected by the pH of the slurry. When the slurry pH is 6.2, the flotation recovery of quartz reaches the maximum value of 93.97%, thus 6.2 is as the optimal pH value and the pH of the slurry is 6.2 to further optimize the dosage of DDA. The relationship between the amounts of collector DDA and the recovery of quartz is displayed in Fig. 5(b). When the dosage of collector DDA is 45 mg/L, the recovery of quartz can reach the maximum value of 93.97%, so 45 mg/L is determined as the optimal dosage. 3.2.2. Flotation experiment with grinding aid Based on the optimal flotation parameters, the effects of the grinding aids TIPA and TEA on the recovery of quartz when they were added to the grinding and directly added to the flotation process were illustrated in Fig. 6(a). The results show that the recovery of quartz can reach the maximum value of 96.6% after the addition of grinding aid TIPA with the dosage of 0.03%. Compared to the condition of no grinding aid, the recovery increases by 2.63 percentage points. Under the same condi­ tions, when the grinding aid TEA was added to the grinding process, the recovery can reach the maximum value of 96.1% at a dosage of 0.05%. The recovery increases by 2.13 percentage points in comparison of the absence of grinding aid. However, when the two kinds of grinding aids are directly added to the process of flotation, separately, (added before the collector), the recovery of quartz has no substantial improvement. Moreover, the recovery will be suppressed when the dosages of TIPA and TEA are large (more than 0.09%). The main reason for the above results Fig. 4. Influence of grinding aids on quartz grinding. (a) Single grinding aid, (b) Combined grinding aid. 3.1.2. Grinding experiment of combined grinding aids TIPA and TEA with similar chemical properties were both alcohol amine organic reagents, and there was no chemical reaction between the two reagents at room temperature [24]. In order to further improve the grinding efficiency of quartz and the adaptability of grinding aids, TIPA and TEA were used in combination under optimal grinding conditions. The effect of TIPA and TEA on the grinding efficiency of quartz at three mass ratios (1:1, 1:2 and 2:1) and five dosages (0.01%, 0.03%, 0.05%, 0.07% and 0.09%) were studied, the result was shown in Fig. 4(b). It can 4 Y. Mao et al. Powder Technology 406 (2022) 117570 Fig. 6. Influence of grinding aids on quartz flotation. (a) Single grinding aid, (b) Combined grinding aid. Fig. 5. Flotation parameter optimization. (a) pH, (b) Collector dosage. combined grinding aid mass ratio 2:1, dosage 0.05%. The mechanism of the influence of grinding aids on the flotation behavior of quartz in the DDA flotation system is investigated by using a variety of detection methods and MS computer simulation technology. can be attributed to the addition of grinding aid in the process of grinding, which is beneficial to extend the time for the reagent to interact with the quartz, and there is a mechanochemical effect in the media grinding, which can increase the adsorption on the quartz surface and thus result in the enhancement of recovery. Since the chemical composition of the combined reagent is consistent with the two single reagents, this article will not discuss the influence of the location of the combined reagent on quartz flotation. From Fig. 6(b), it can be seen that the TIPA/TEA combined grinding aid is added to the process of grinding before flotation, in three mass ratios (TIPA:TEA =1:1, 1:2 and 2:1), with the increase in the amount of combined grinding aids, the flotation recovery exhibits the similar law, that is, increasing firstly and then decreased. Under the same dosage of com­ bined grinding aid, the recovery of quartz increased with the increase of the TIPA ratio in the combined grinding aid. When the mass ratio of TIPA to TEA is 2:1 and the dosage is 0.05%, the largest flotation recovery rate of 98.4% is obtained, increasing by 4.43 percentage points in comparison of no grinding aid. After TIPA and TEA are mixed, the number of effective groups on the surface of quartz will increase, which results in the improvement of recovery by the combined action of the two reagents. It should be pointed out that the synergy between the grinding aid and the collector plays a vital role in the increase of re­ covery. Since the TIPA/TEA combined grinding aid has better effect on quartz grinding efficiency and flotation recovery than a single grinding aid and the groups of the combined grinding aid are the same as that of a single grinding aid, the experiment is optimized under the flotation conditions as follows: DDA dosage 45 mg/L, pH = 6.2, TIPA/TEA 3.3. FT-IR spectroscopy analysis The functional groups of the combined grinding aid TIPA/PEA and the collector DDA were measured by FT-IR after fully interacting with quartz under optimal conditions, the results are shown in Fig. 7. The Fig. 7. FT-IR spectra of quartz in different systems. 5 Y. Mao et al. Powder Technology 406 (2022) 117570 absorption peak of quartz at 3142.18 cm− 1 is the characteristic ab­ sorption peak of -OH, and the absorption peak at 1404.24 cm− 1 is the stretching vibration peak of quartz adsorbing -OH in water [27]. Besides the absorption peak located at 775.12 cm− 1 can be ascribed to the stretching vibration of Si-O-Si bond, while the absorption peak posi­ tioned at 695.04 cm− 1 corresponds to the bending vibration Si–O bond [28]. After the reaction of quartz with the TIPA/PEA, the absorption peak situated at 695.04 cm− 1 shifts to 692.14 cm− 1 and the absorption peak at 775.12 cm− 1 shifts to 771.63 cm− 1. No new functional groups are generated, demonstrating that the interaction between the combined grinding aid and the surface of quartz belongs to physical adsorption. Furthermore, the absorption peak at 1404.24 cm− 1 shifts to 1400.19 cm− 1, and the absorption peak at 3142.18 cm− 1 shifts to 3140.25 cm− 1, indicating that TIPA/TEA has hydrogen bond adsorption on quartz [29]. After the reaction of quartz with DDA, the absorption peak at 695.04 cm− 1 shifts to 690.90 cm− 1, and the absorption peak at 775.12 cm− 1 shifts to 762.07 cm− 1, which reveals that DDA has physical attachment to the surface of quartz. Additionally, the shifting of absorption peak from 1404.24 cm− 1 shifts to 1390.73 cm− 1 and 3142.18 cm− 1 shifts to 3133.21 cm− 1 are derived from the hydrogen bond adsorption of DDA on the surface of quartz. Based on the above analysis, no new absorption peak produces on the surface of quartz and the corresponding peak in­ tensity is weakened, signifying that neither the grinding aid nor the collector has chemical adsorption on the surface of quartz [30]. After the combined grinding aid is introduced into the DDA flotation system, the peak offsets increas compared to the Quartz + DDA flotation system, which indicats that the combined grinding aid has a certain promotion effect on the adsorption of DAA on the surface of quartz. 3.4. XPS analysis Fig. 8. XPS O 1 s scans of quartz. (a) Quartz + DDA, (b) Quartz + TIPA/TEA + DDA. In order to further explore the adsorption mechanism of the com­ bined grinding aid and collector on the surface of quartz, XPS analysis was performed on the sample after the action of the reagent, and the results are shown in Table 2. After the addition of TIPA/TEA to the grinding, the binding energy of Si on the surface of quartz did not change significantly compared to the combination of quartz and DDA, and the binding energy of O increases by 0.09 eV. The results suggest that TIPA/ PEA and DDA mainly interacted with O on the surface of quartz. Peak fitting was performed on O 1 s on the surface of quartz, and the results are shown in Fig. 8. From Fig. 8(a), it can be seen that in the O 1 s peak fitting between DDA and Quartz, the binding energies of 532.60 eV and 532.11 eV correspond to the peak positions of -OH and Si–O, respec­ tively [31], where -OH is mainly derived from quartz during the grinding process. The possible reason can be attributed to part of the Si–O on the surface breaks electrostatically reacted with the ionized H+ in the water to generate -OH or the fracture surface is -O-Si2+, which electrostatically reacted with the ionized OH− in the water to form -OH [32]. Fig. 8(b) shows that after adding grinding aids in grinding, both TIPA/TEA and DDA interacted with the surface of quartz. Besides, the position of -OH peak shifts from 532.60 eV to 532.71 eV with an increase of 0.11 eV, while the position of Si-O peak shifts from 532.11 eV to 532.20 eV with an increase of 0.09 eV, the results further prove that the addition of TIPA/TEA has a certain promotion effect on the adsorption of DDA on the surface of quartz instead of inhibition. 3.5. Quantum chemistry calculation The CASTEP module in Materials Studio was used to optimize the structure of the quartz unit cell, the energy cutoff was set as 460 eV, the functional was set as GGA-PBESOL, and the self-consistent iteration accuracy of the calculation was set as 1 × 10− 6 eV/atom, k-point was 3 × 3 × 4 [33]. Under the above conditions, the quartz cell parameters were simulated. The comparative results of the optimized quartz cell parameters and empirical values are shown in Table 3. It is obvious that the error between the optimized quartz cell parameters and the empir­ ical value is small, demonstrating that the optimized structure is correct and conforms to the actual situation. Fig. 9(a) is the optimized quartz cell. The quartz cell was cut along the (101) plane with the thickness of 1.5 layers, and the top atoms were adjusted to make the ratio of the number of exposed Si atoms and O atoms equal to 1:1. Since the CASTEP module can only optimize the three-dimensional unit cell, while the cut out (101) crystal plane is a two-dimensional planar structure [34], it is necessary to establish a vacuum layer and optimize the quartz (101) plane, where the thickness of the vacuum layer was set as 15 Å (Fig. 9 (b)). The unit cell is expanded into a 2 × 2 × 1 supercell (Fig. 9(c)), and the bottom atoms are fixed before relaxing the first layer atoms. As shown in Fig. 10(a), there is no obvious difference between the Table 3 The optimized quartz cell parameters are compared to the empirical values. Table 2 Binding energy of quartz surface in different reagents. Sample Si/eV C/eV O/eV Quartz + TIPA/TEA Quartz + DDA Quartz + TIPA/TEA +DDA 103.06 103.07 103.07 284.8 284.8 284.8 532.35 532.39 532.48 6 Parameter Experience Optimized Error/% a/Å b/Å c/Å Si-O bond length /Å Si-O-Si bond angle /◦ 4.914 4.914 5.405 1.608–1.610 143.700 5.030 5.030 5.509 1.615–1.618 149.471 2.360 2.360 1.920 0.440–0.500 4.020 Y. Mao et al. Powder Technology 406 (2022) 117570 Fig. 9. Quartz cells. (a) Optimized cells; (b) Cell after cutting the surface; (c) Expanded cell. energy band of quartz is divided into three parts in the range of − 20 eV to 15 eV, the valence band − 20 to − 15 eV and − 15 eV to − 2.5 eV is mainly contributed by O, while the valence band ranging from 5 eV to 15 eV is mainly contributed by Si, the valence band at the Fermi level is mainly contributed by O, only a small amount is Si [35]. Therefore, reagent molecules will mainly interact with O on the (101) surface of quartz, which is consistent with the analysis of XPS characterization . The adsorption energy of the reagent on the surface of quartz was calculated (by Eq. (2)) under the conditions of a universal force field and an accuracy of ultra-fine [36]. The smaller the adsorption energy be­ tween the reagent and the mineral, the stronger the adsorption effect of the reagent on the surface of mineral [37]. According to the simulation calculation results, the adsorption energy of each adsorbate (grinding aids, collector) on the surface of quartz is shown in Table 4. It can be obtained that in the wet grinding environment, the adsorption energy of H2O on the surface of quartz is − 0.05 eV, indicating that H2O can be adsorbed on the surface of quartz, but the adsorption effect is weak. The adsorption effect of combined grinding aids TIPA/TEA on the surface of quartz is stronger than that of single TIPA or TEA. Compared with single grinding aid, the combined grinding aids have more polar groups, so the adsorption effect is enhanced. The adsorption energy after the interac­ tion of DDA with quartz is − 72.77 eV, which is relatively large in ab­ solute value, suggesting that it is easy to adsorb on the surface of quartz. Compared to the system of DDA, the absolute value of the DDA + TIPA/ TEA increases, showing that the grinding aid has no competitive adsorption with the collector DDA on the surface of quartz, and the adsorption of the collector DDA is promoted. ) ( ΔEads = Ecomplex − Ereagent + Emineral (2) Where ΔEads is the adsorption energy of the agent on the surface of mineral, Ecomplex is the energy after the agent interacts with the mineral, Ereagent is the energy of the reagent, Emineral is the energy of the mineral. Table 4 The adsorption energy of reagents on the (101) surface of quartz. Fig. 10. X-ray diffraction patterns and density of state of quartz. (a) XRD, (b) DOS. simulated quartz XRD spectrum of the experiment and the actual XRD, suggesting that the crystal structure of the optimized quartz is consistent with the actual one. After optimization, the density of states of quartz was calculated by the CASTEP in Fig. 10(b). It can be observed that the 7 Reagents Ecomplex/eV Ereagent/eV Emineral/eV ΔEads/eV H2O TIPA TEA TIPA/TEA DDA TIPA/TEA + DDA − 34,909.56 − 36,768.40 − 36,836.17 − 36,965.03 − 37,652.78 − 37,701.29 − 466.91 − 2316.37 − 2387.21 − 2507.89 − 3137.41 − 3178.84 − 34,442.60 − 34,442.60 − 34,442.60 − 34,442.60 − 34,442.60 − 34,442.60 − 0.05 − 9.43 − 6.36 − 14.54 − 72.77 − 79.85 Y. Mao et al. Powder Technology 406 (2022) 117570 3.6. Solution chemical analysis demonstrates that the grinding aids effectively adsorb on the surface of quartz. The order of the contact angle is TIPA/TEA > TIPA > TEA, which is mainly due to the larger number of non-polar carbon chains in the TIPA molecule was more than that of TEA under the same dosage. Similarly, the number of non-polar carbon chains in the TIPA/TEA is more than that of a single grinding aid. The hydrophobicity of quartz increases by the non-polar carbon chain. The contact angle of quartz and DDA is 78.7◦ , meaning excellent floatability. After the introduction of TIPA/TEA, the contact angle is 84.2◦ , indicating that the TIPA/TEA can increase the hydrophobicity of quartz under the DDA system and further improve the floatability of quartz, which is consistent with the conclu­ sion of the quartz flotation experiment under the action of the grinding aid. Obviously, DDA in the solution exists in different forms due to the change of pH . Under the optimal flotation environment of pH = 6.2, DDA mainly exists in the form of cationic groups such as RNH+ 3 or 2+ (RNH+ 3 )2 [38]. During the process of wet grinding, the fracture surface of the quartz mineral particles is -Si-O− , which electrostatically reacted with the ionized H+ in the water to generate hydroxyl groups, or the fracture surface is -O-Si2+, which electrostatically reacted with the ionized OH− in the water to form hydroxyl groups. The -OH was further ionized to make the surface of the quartz to produce Si-O- [32]. Mean­ while, the cationic group of DDA was adsorbed on the surface of quartz with negatively charged by electrostatic force. As we all know, both TIPA and TEA are easily miscible with water, there are lone electrons in the N atom, which adsorbed H+ in the solution and appeared weakly alkaline. However, in the flotation environment of weakly acidic with pH was 6.2, TIPA/TEA was mainly existed in the form of moleculars [39]. Since the electronegativity of O in its molecule is stronger than that of N, -OH is the polar group of TIPA/TEA [40]. Based on the FT-IR spectroscopy and XPS analysis as well as the reported simulation re­ sults [41], it can be found that the adsorption energy of TIPA and TEA on the surface of mineral particles is 20–50 Kcal/mol, which belongs to the adsorption range of hydrogen bonds. So, it demonstrates that the polar group -OH in the TIPA/TEA forms a hydrogen bond with O on the sur­ face of quartz. From the calculation results of the adsorption energy, we can know that the strength of the hydrogen bond adsorption is weaker than that of the electrostatic adsorption of DDA, while the adsorption of DDA is stronger than the grinding aid, Besides, according to the con­ servation of charge, it can be known that the hydrogen bond adsorption will not offset the negative potential on the surface of quartz, that is to say, the quartz surface after the adsorption of the TIPA/TEA is still charged with a negative potential, so TIPA/PEA will not compete with DDA for adsorption on its surface. 3.8. Surface tension detection The surface tension of the flotation solution has an important effect on the flotation behavior, it can cause changes in properties such as the dissolution and foaming of the flotation reagent [44]. Therefore, under the respective optimal dosages, the effect of TIPA/TEA on the surface tension of the DDA solution was studied. The solution temperature during the test was about 26 ◦ C, and the surface tension of deionized water was measured as 71.96 mN/m, the test results are shown in Fig. 12. It can be found that as the concentration of the solution in­ creases, the surface tension of the solutions under the two medicament environments shows an overall downward trend, and after the addition of TIPA/TEA, the surface tension of DDA decreases significantly. When the concentration of DDA is 8.0 × 10− 3 mol/L and no any grinding aids in the solution, the surface tension declines to the lowest value and re­ mains almost unchanged. It is no longer affected by the concentration of the reagent, and gradually changing from a downward trend to level off. The concentration at the inflection point is the critical micelle concen­ tration of the solution at this temperature (CMC) [45], and the CMC value of DDA is 8.0 × 10− 3 mol/L, which is in good agreement with the conclusions of the relevant literature [46]. After the addition of TIPA/ TEA, the CMC value of DDA is 4.0 × 10− 3 mol/L, which shows that the introduction of grinding aids can reduce the CMC value of DDA solution, moreover, it can improve the water solubility and dispersibility of DDA, and thus increase the utilization rate of DDA. Therefore, the recovery of quartz can be improved by TIPA/TEA. 3.7. Contact angle analysis In practice, the contact angle was usually used to measure the wettability of a solid surface [42]. The changes in the contact angle of different reagents on the surface of quartz under optimal conditions were tested, and the results are shown in Fig. 11. Without adding re­ agent, the contact angle of quartz is small, indicating that the surface of quartz has strong hydrophilicity, which means that it has poor natural floatability [43]. After the reaction of quartz with TIPA, TEA and their combined grinding aids, the contact angle increases significantly, which 4. 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Based on quantum chemistry calculation and chemical analysis of the solution, it shows that the reagent mainly interacted with the O on the (101) surface of quartz. After the TIPA/PEA is intro­ duced into the quartz flotation system, the adsorption energy of DDA on the quartz surface increases. On the (101) surface of quartz, the collector DDA is mainly adsorbed on the negatively charged by electrostatic force, and the polar group -OH in the TIPA/PEA forms a hydrogen bond with O on it. The TIPA/PEA and collector play a synergistic effect on the surface of quartz instead of competitive adsorption. (3) The test results of contact angle and solution surface tension show that TIPA/PEA can increase the contact angle of quartz under DDA system and improve the hydrophobicity of quartz. Besides, TIPA/PEA can reduce the surface tension and CMC value of DDA solution and increase the water solubility and dispersibility of the DDA. It can also promote the adsorption of DDA on the surface of quartz, and thus can improve the recovery of quartz flotation. CRediT authorship contribution statement Yong Mao: Investigation, Conceptualization, Methodology, Data curation, Funding acquisition, Writing – original draft. Zehong Wang: Supervision, Conceptualization, Project administration. Wengang Liu: Visualization, Investigation. Pengcheng Tian: Software, Validation. Declaration of Competing Interest No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the manuscript that is enclosed. Acknowledgements This work was supported by the National Natural Science Foundation of China (51874073) and the Fundamental Research Funds for the Central Universities (N2101047). The authors would like to thank the testing service from Analytical and Testing Center, Northeastern Uni­ versity (Shenyang, China). References [1] P. Prziwara, S. Breitung-Faes, A. Kwade, Comparative study of the grinding aid effects for dry fine grinding of different materials, Miner. Eng. 144 (2019), 106030. [2] Y.H. Tan, L. Sha, J. Qu, J.Q. Jiang, J. Ren, C.J. Wu, et al., Oleic acid as grinding aid and surface antioxidant for ultrafine zirconium hydride particle preparation, Appl. Surf. Sci. 535 (2021), 147688. [3] M. Katsioti, P.E. Tsakiridis, P. Giannatos, Z. Tsibouki, J. Marinos, Characterization of various cement grinding aids and their impact on grindability and cement performance, Constr. Build. Mater. 23 (5) (2009) 1954–1959. [4] T.L. Zhang, J.M. Gao, J.C. 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