The Influencing Mechanisms of Sodium Hexametaphosphate on Chalcopyrite Flotation in the Presence of MgCl 2 and CaCl 2

Sea water has been used in flotation plants, showing a promising way to save fresh water usage. Previous studies indicated that divalent salts in sea water played negative roles in chalcopyrite flotation, but not much work have been conducted to understand the eliminating mechanisms. This study systematically investigated the effects of divalent cations of Ca2+ and Mg2+ on natural flotability of chalcopyrite in the absence of collectors and frothers. The reduced recovery was mainly due to the adsorption of Mg and Ca hydroxyl complexes and precipitation on chalcopyrite surfaces, giving rise to a less hydrophobic surface. The addition of sodium hexametaphosphate (SHMP), however, significantly improved chalcopyrite recovery. Species calculation, contact angle, zeta potential, FTIR and XPS analyses were conducted to understand the influencing mechanisms of divalent ions and the beneficial effects of SHMP on chalcopyrite recovery. The primary mechanism was that SHMP prevented the adsorption of positively charged Mg and Ca compounds or precipitation with hydrophilic properties such as Mg(OH)2 on chalcopyrite surfaces, confirmed by the Derjguin-Landau-Verwey-Overbeek (DLVO) theory. Secondly, SHMP reacted with Mg2+ and Ca2+ to form dissolvable complexes, thereby declining the formation of insoluble Mg2+ and Ca2+ compounds or precipitation.


Introduction
Mineral flotation, as a water-intensive process, has been widely used to separate valuable minerals from gangue by utilizing differences in physicochemical surface properties [1,2].Fresh water is normally the most ideal flotation media and the water quality affects flotation efficiency considerably [3].Due to the continuous growing population and industrial development, the overall water quality is gradually decreasing around the world, resulting in a scarcity of high quality fresh water [4,5].In order to minimize fresh water consumption and meet the stringent environmental regulations, many concentrators, especially those sited in fresh water-deficient areas, have applied sea water or recycled water with a high concentration of electrolytes, as an alternative to fresh water in flotation process [2,6].Some typical flotation practices using saline or sea water are summarized in Table 1.
Table 1.Typical flotation practices using saline or sea water.

Concentrator Location Processing Content References
Batu Hijau Indonesia Using sea water to process a gold-rich porphyry copper ore [7] Las luses Chile Grinding and flotation using mixed sea water and tailing dam water [6] Çayeli Bakır Is letmeleri A.S. Turkey Processing Cu-Zn sulfide ore using dissolved metal ions and sulfide ions (SO 4 2− and S 2 O 3 2− ) [8] Mt Keith Australia Processing nickel minerals using bore water with high ionic strength [9] Raglan Canada Flotation without frother using saline water with salt levels ranging 20,000~35,000 ppm [10] Inevitably, the application of those solutions with a very high salinity brought many challenges for mineral processing.One of the crucial issues is how to maintain the recovery and grade of valuable minerals as well as minimize the dosage of flotation reagents [3].In the flotation process, the presence of salt ions can increase the complexity of flotation pulp environment by changing pulp water structure, mineral particle properties (e.g., hydration and electrical double layer) and bubble properties (e.g., bubble coalescence and froth stability), which in turn influencing the mineral-bubble attachment and flotation efficiency [2,[11][12][13].For instance, some monovalent salts (i.e., NaCl and KCl) were found to enhance mineral flotability by compressing electrical double layers, reducing the energy bar for particle-bubble attachment and even changing bubble stability [14][15][16].In contrast, the presence of some divalent cations such as Ca 2+ and Mg 2+ might form metal hydroxyl-complexes and colloidal precipitation onto hydrophobic mineral surfaces under alkaline conditions, reducing mineral surface hydrophobicity and the adsorption of collectors [17][18][19].
As chalcopyrite is the most important Cu-bearing sulfide mineral [20], some attentions have been paid to investigate the effects of saline water on its flotation efficiency.For instance, Haga et al. [21] reported that the Cu grade was improved when conditioning Cu minerals (in which the main valuable mineral is chalcopyrite) into sea water.In a Cu-Au ore flotation with chalcopyrite as the major valuable Cu mineral in the presence of bentonite, Wang et al. [22] found that divalent cations of Mg 2+ and Ca 2+ had a more significant role than monovalent cations of Na + and K + in reducing bentonite viscosity due to stronger compression of electrical double layers of bentonite particles, thereby increasing flotation efficiency, similar to that found in Hirajima et al. [17].Recently, Li et al. [16] reported that at pH 10, the presence of Na + , K + , Ca 2+ increased chalcopyrite recovery due to lower energy barrier for bubble-particle attachments through compressing electrostatic double-layer while the addition of Mg 2+ decreased chalcopyrite flotation efficiency due to the adsorption of formed Mg(OH) 2 precipitation onto chalcopyrite surface to reduce its hydrophobicity.Although these studies focused on the effects of salts on chalcopyrite flotability through investigating the change of particle surface properties, the flotation results varied and even conflicted, keeping underlying mechanisms unclear.
Many researchers have attempted to relieve or even eliminate the negative effects due to sea water in the mineral flotation process.For instance, Nagaraj and Farinato [23] reported that reducing pH to a lower value can avoid the formation of precipitation, thereby increasing chalcopyrite flotation.However, the alkaline condition at pH 9~12 was used to depress pyrite that normally associated with chalcopyrite [24].Therefore, it is impractical to reduce the pulp pH to neutral or acidity when using sea water in chalcopyrite flotation.Other researchers have attempted to add some reagents to achieve the goal [19,[24][25][26][27].For instance, Jeldres et al. [24] reported that the addition of CaO-Na 2 CO 3 mixtures can remove cations before flotation.Hirajima et al. [17] and Suyantara et al. [28] found that emulsified kerosene was capable of reducing the adsorption of Mg(OH) 2 precipitation on chalcopyrite surface through forming kerosene and precipitation aggregates.Sodium hexametaphosphate (SHMP, (NaPO 3 ) 6 ), normally regarded as a common dispersant, was typically a polymeric metaphosphate in solution [29,30].In the flotation process, it was widely used to disperse slime that might attach on valuable mineral surfaces, through increasing the repulsive energy between particles [31][32][33][34].For instance, montmorillonite, one fine clay mineral, can inhibit coal flotation due to its adsorption on coal surfaces, decreasing interaction between collectors and coal particles.The addition of SHMP increased the absolute value of zeta potentials of both coal and montmorillonite to enhance electrostatic repulsion, thereby decreasing the adsorption of montmorillonite on coal surfaces [30,35].
In addition, some recently published papers [36,37] have indicated that SHMP can act as a water softener to eliminate the adverse effects of hydrolytic metallic ions in the flotation process.Moreover, Rebolledo et al. [26] reported that the addition of SHMP can remove Mg hydroxyl-complexes and hydroxide from molybdenite surface.However, it is not fully understood that if SHMP has similar positive effects on enhancing chalcopyrite recovery in the presence of divalent cations.
Therefore, a systematic study is necessary to better understand the effects of SHMP on chalcopyrite flotation in the solution containing divalent cations of Ca 2+ and Mg 2+ that normally playing a negative role on chalcopyrite flotation.As chalcopyrite is naturally floatable, the flotation experiment was conducted in the absence of collectors and frothers to avoid the influence from those flotation reagents.Various measurements such as contact angle, zeta potential, FTIR, and XPS were carried out to reveal the mechanisms that SHMP imparted on chalcopyrite flotation.

Samples and Reagents
A pure chalcopyrite sample was obtained from Australia GEO discoveries.The chalcopyrite chunks were firstly crushed and then ground in a three head grinding machine (RK/XPM, Wuhan Rock Grinding Equipment Manufacturing Co., Ltd, Wuhan, China), followed by a wet sieve and ultrasonic operation to remove fine particles in ethanol solution.Before storing in a freezer to minimize oxidation, the powders were dried in a vacuum oven and sealed in plastic tubes.The particles ranging from 38 to 74 µm were used for flotation tests, while the particles with a size <38 µm were further ground to −5 µm for zeta potential measurements.The XRD spectra (Figure 1) indicated a high purity of chalcopyrite.Analytical grade of reagents including SHMP, sodium hydroxide (NaOH), anhydrous calcium chloride (CaCl 2 ) and magnesium chloride hexahydrate (MgCl 2 •6H 2 O) were purchased from China Sinaopharm Chemical Reagent Co., Ltd, Shanghai, China.In addition, all aqueous solutions were prepared using Millipore ® ultrapure water (Billerica, MA, USA) with a resistivity of 18.2 MΩ•cm unless elsewise specified.

Flotation Experiments
A mechanical agitation XFGII-type flotation machine (Wuhan Exploration Machinery Factory, Wuhan, China) was used for flotation experiments.1 g of chalcopyrite particle was placed into 25 mL of solution.After that, NaOH was added to maintain the pulp pH to the desired values within the first 6 mins prior to flotation.The collection of concentrate was conducted in the next 5 min of flotation with an air flow rate of 0.1 L/min at an agitation of 1200 rpm.Both the floated and unfloated fractions were collected and air dried at 70 • C for 2 h prior to weighing.It should be noted that 0.01 M CaCl 2 and 0.05 M MgCl 2 were selected for flotation as which were close to that in sea water [2,15].As the flotation reagents affected chalcopyrite flotability significantly, no reagents were added to investigate the effects of SHMP on the natural flotability in the presence of divalent cations in this study.

Contact Angle Measurements
The polished chalcopyrite slab was soaked in conditioned solution for 10 mins, followed by rinsing three times using ultrapure water and then air dried.Subsequently, a droplet of ultrapure water (0.25 µL) was placed onto the prepared chalcopyrite slab surface through micro-syringe, thereafter the profile of contact angle was imaged and measured by a sessile drop device (JC2000C1, Shanghai Zhongchen Digital Technology Company, Shanghai, China), with the operating procedures being the same to our previous studies [16].At least three different areas were selected on each chalcopyrite slab surface and the average value was reported herein.

Ion Concentration Analyses
In order to investigate the evolution of Ca 2+ and Mg 2+ during the flotation process, an inductively coupled plasma (ICP, Optima 4300DV, Perkin, Perkin Elmer Ltd., Waltham, MA, USA) was used to measure the ion concentration before and after flotation.

Zeta Potential Measurements
A Nano-ZS90 zeta potential analyzer (Malvern Co., Ltd, Malvern, UK) was used to determine the zeta potential of chalcopyrite in different aqueous solutions.Suspensions containing 0.05 g of finely ground samples below −5 µm were conditioned by a magnetic stirrer for 10 min so that the suspension was homogenized.During this period, the pulp pH was adjusted using NaOH solution.After that, the agitated suspension was sampled for zeta potential measurements.Temperature was maintained at 25 ± 1 • C throughout the measurements.The results presented herein were the average of at least three independent tests with a typical variation of ±5 mV.

FTIR Spectra
A total of 100 mg chalcopyrite particles (−5 µm) were added into 50 mL solution (pH 9.5) with 10 mg/L SHMP.After stirring pulp for 30 min, chalcopyrite particles were filtered and washed thrice using ultrapure water, dried in a vacuum oven over 24 h at room temperature.The dried sample was then mixed with KBr at a mass ratio of 1:100, prior to pressing as thin pellets.The Fourier transform infrared (FTIR) spectra were performed to characterize chalcopyrite surface treated in conditioned solutions at a 4 cm −1 resolution within 4000~400 cm −l using Nicolet IS-10 (Thermo Fisher Scientific Inc., Waltham, MA, USA).

XPS Measurements
The XPS spectra of untreated and treated chalcopyrite particles were determined by ESCALAB 250Xi (Thermo Fisher Scientific Inc., Waltham, MA, USA) equipped with an Al Kα monochromatic X-ray source.The survey (wide) spectra were collected from 1350 to 0 eV with a pass energy of 100 eV and a step size of 1.0 eV while the high resolution XPS spectra collected for each element were with a pass energy of 30 eV and a step size of 0.1 eV.The dwell time for both survey and high resolution spectra was 0.1 s while each spectrum was with 5 sweeps.The C 1s peak at 284.8 eV was used as an internal standard to calibrate all the spectra for charge compensation.All XPS spectra were fitted through XPS Peak4.1 software using Shirley methods for backgrounds corrections [38].More details regarding the analysis can be referred to that shown in Li et al. [16].

Flotation Results
Figure 2 shows chalcopyrite recovery as a function of pH from 4 to 12.With the increase of pH, chalcopyrite recoveries were decreased to various extents.For instance, a relatively stable chalcopyrite recovery remaining at approximately 88% was observed in ultrapure water up to pH 9.5, after which recovery was decreased apparently.But more significant declines with increased pH values were found in the presence of CaCl 2 and MgCl 2 , e.g., only around 60% and 28% chalcopyrite were recovered at pH 9.5, respectively, suggesting a negative role due to these two salts, with MgCl 2 being more significant than that of CaCl 2 .In addition, when pH was controlled at 12, only 1% of chalcopyrite was recovered in the MgCl 2 solution.A similar deteriorative chalcopyrite recovery in ultrapure water controlled at strong alkaline condition was found by Liu and Zhang [39] while detrimental effects of both salts on chalcopyrite recovery were reported in [17,28].Nagaraj and Farinato [23] reported that Ca 2+ had a negligible effect while Li et al. [16] reported a slightly beneficial effect on chalcopyrite flotation in the solution containing Ca 2+ .The differing flotation behaviors of chalcopyrite in salt solution may be attributed to various collectors (e.g., sodium diisobutyl dithiophosphate vs. sodium butyl xanthate) and pulp densities (35 wt % vs. 8 wt %) [40].
Figure 3 shows chalcopyrite recovery as a function of SHMP dosage from 0 to 10 mg/L at pH 9.5.In the absence of Ca 2+ or Mg 2+ (i.e., ultrapure water), chalcopyrite recovery was remained at a stable level within 10 mg/L SHMP, suggesting an insignificant role of SHMP in influencing chalcopyrite recovery.However, a gradual increase of chalcopyrite recovery was observed in 0.01 M CaCl 2 solution when SHMP dosage was increased to 10 mg/L.Much greater positive influence of SHMP on chalcopyrite recovery was observed in 0.05 M MgCl 2 solution, e.g., from 28% to approximately 80%.These indicated that the presence of SHMP improved chalcopyrite recovery by depressing the negative role due to CaCl 2 and MgCl 2 .

Species Calculation
Ca 2+ and Mg 2+ ions are typical inevitable metallic ions in sea water.However, complexation and precipitation occurred when solution pH was adjusted to alkaline conditions.Figure 4 shows the formation of calcium hydroxide (Ca(OH) 2(s) ) and magnesium hydroxide precipitation (Mg(OH) 2(s) ) at pH greater than 12.4 and 9.3 in 0.01 M CaCl 2 and 0.05 M MgCl 2 solution, respectively.Specifically, Figure 4a showed that both CaOH + and Ca(OH) 2(aq) were increased when solution pH was increased from 4 to 12.However, chalcopyrite recovery was gradually decreased within this pH region, indicating that CaOH + and Ca(OH) 2(aq) complexes might play a predominantly negative role on chalcopyrite flotation.Choi et al. [14] and Liu and Zhang [39] reported that hydrolyzed species had a strong affinity to a negatively charged solid surface, i.e., chalcopyrite surface in this study.The adsorption of these hydrolyzed species decreased natural hydrophobicity of chalcopyrite surface, thereby reducing its recovery.As indicated in Figure 2, chalcopyrite recovery in 0.05 M MgCl 2 solution was dramatically decreased when pH was increased, achieving a recovery lower than 5% at pH 10 and over.Figure 4b showed three increased Mg 2+ species including Mg 2+ , MgOH + and Mg(OH) 2(aq) in 0.05 M MgCl 2 solution, within pH from 4 to 9.3.Further increase in pH resulted in Mg precipitation, i.e., Mg(OH) 2(s) .Therefore, the decreased chalcopyrite recovery might be due to the adsorption of Mg 2+ , MgOH + and Mg(OH) 2(aq) on negatively charged chalcopyrite surfaces.Specifically, the lowest chalcopyrite recovery observed at pH 12 was highly likely due to the adsorption of Mg(OH) 2(s) precipitation [23,40].Therefore, the depressing effects due to divalent cations are normally attributed to the formation of metal complexes and precipitation adsorbed on chalcopyrite surfaces [19,25,39,40].
However, Figure 3 showed that chalcopyrite recovery was increased in both CaCl 2 and MgCl 2 solutions when SHMP was added to flotation pulp controlled at pH 9.5, demonstrating that the presence of SHMP can relieve the negative effects of two salts on chalcopyrite flotation.It should be noted that SHMP can not only act as a dispersant, but also can be used as a complexing agent or softener [26,39] to react with metal cations such as Ca 2+ and Mg 2+ , generating soluble complexes (Equations ( 1)-( 3)) [26,34,36,41].Therefore, the presence of SHMP possibly reduced the formation of Ca and Mg complexes and hydroxide, thereby relieving negative effects of divalent cations.(3)

Contact Angle Analyses
Figure 5 presents the SHMP effects on contact angle of chalcopyrite conditioned at pH 9.5.In the absence of SHMP, the contact angles of chalcopyrite surface treated in both MgCl 2 and CaCl 2 solution were significantly lower than that in ultrapure water, showing 35 • and 56 • , respectively, similar to those reported in Li et al. [16] and Hirajima et al. [17].This suggests that the presence of CaCl 2 and MgCl 2 apparently reduced the chalcopyrite contact angle, possibly due to the adsorption of hydrophilic species formed on the chalcopyrite surface, consistent with the flotation results (Figure 3).Although the presence of SHMP did not change the contact angle of chalcopyrite treated in ultrapure water, e.g., almost remaining at 80 • , a slight increase was observed in CaCl 2 solutions when SHMP was added, within a relatively narrow range being from 56 • to 65 • .The above evidence indicated that SHMP reduced the adsorption of Ca complexes on chalcopyrite surfaces in 0.01 M CaCl 2 solution, by reacting with Ca 2+ to form soluble CaNa 4 P 6 O 18 (Equation ( 2)) [36,37,42].In contrast, a dramatic increase in contact angle was observed when chalcopyrite was treated in 0.05 M MgCl 2 solution with SHMP dosage being increased up to 10 mg/L, suggesting that SHMP was capable of removing Mg precipitation or preventing its adsorption on chalcopyrite surface.Therefore, the negative role due to 0.05 M Mg 2+ was eliminated.

Zeta Potential Analyses
Figure 6 shows the zeta potentials of chalcopyrite in the presence of SHMP in various solutions controlled at pH 9.5.It is observed that the chalcopyrite surface was negatively charged in ultrapure water, i.e., −43 mV which was increased to positive values of 5 mV and 17 mV in 0.01 M CaCl 2 and 0.05 M MgCl 2 solution in the absence of SHMP, respectively, probably due to the adsorption of positively charged Ca and Mg species [25,28].Compared to Ca complexes, Mg(OH) 2(s) played a more significant role in reversing chalcopyrite zeta potential to positive values.Choi et al. [14] also reported a similar zeta potential change of malachite from negative to positive when treated in CaCl 2 solution.Schott [43] found that the zero point of charge of Mg(OH) 2(s) was at pH 10.8, indicating that the zeta potential of Mg(OH) 2(s) was positive when pH was lower than 10.8.In other words, Mg(OH) 2(s) was positively charged at pH 9.5.Therefore, electrostatic interaction between negatively charged chalcopyrite surface and positively charged Mg precipitation was mainly responsible for chalcopyrite depression by Mg(OH) 2(s) .When SHMP was added, the zeta potential of chalcopyrite in ultrapure water was more negative with increased SHMP dosage [34].A significant decrease in zeta potential, i.e., from 5 mV to −15 mV was also observed when 2.5 mg/L SHMP was added into CaCl 2 solution.However, no further change in zeta potentials was observed when SHMP dosage was continued to increase.The decrease of zeta potential from a positive value to a negative value might be due to the reduced formation or adsorption of Ca complexes on chalcopyrite surface.Similar to that, in 0.01 M CaCl 2 solution, a gradually declined zeta potential was observed in 0.05 M MgCl 2 solution when SHMP was added.Although a more positive zeta potential (i.e., 17 mV) was found without SHMP, the reverse to a negative value occurred when SHMP was greater than 7.5 mg/L, indicating that more SHMP was required to reduce negative effects due to Mg(OH) 2(s) .
In order to further investigate the role of SHMP in the flotation process, the residual concentration of metallic ions in flotation pulp was examined.Figure 7 shows the residual concentration of Ca 2+ and Mg 2+ ions in different solutions controlled at pH 9.5.It was found that Ca 2+ and Mg 2+ concentrations were 0.01 M and 0.05 M, respectively, prior to flotation, which were decreased to 0.0067 M and 0.038 M, respectively, after flotation, indicating a loss of these two ions during the flotation process, possibly due to the adsorption or resultant precipitation on chalcopyrite surface.The addition of SHMP reduced cation loss during chalcopyrite flotation.Actually, Ca and Mg concentrations were increased from 0.0067 M to 0.0084 M and 0.038 M to 0.046 M, respectively.It should be noted that the increased Ca and Mg concentrations due to the addition of SHMP were 0.0017 M and 0.008 M, respectively, much greater than the added SHMP (10 mg/L equals to approximately 0.02 mM).According to Equations ( 1)-( 3), the added 0.02 mM SHMP was not capable of combining with so much Ca 2+ and Mg 2+ .Therefore, in addition to the complexation role, there should be another mechanism for SHMP in enhancing chalcopyrite flotation in CaCl 2 and MgCl 2 solution.
In addition to a complexation role, the dispersion role of SHMP in flotation should be paid more attention as a small amount of SHMP molecules covered in minerals can disperse slime from mineral surfaces [31][32][33][34].Therefore, the dispersion role of SHMP may predominate in enhancing chalcopyrite recovery.In other words, the presence of SHMP prevented Ca or Mg complex adsorption on chalcopyrite surfaces, thereby primarily improving chalcopyrite flotation.

FTIR Analyses
In order to further verify the role of SHMP on chalcopyrite surface properties, the FTIR spectra of chalcopyrite treated with SHMP were conducted and shown in Figure 8. Figure 8a shows the spectrum of SHMP, where the peaks at 1274.7 and 881.8.52 cm −1 corresponded to the characteristic adsorption peak of P=O and P-O-P, respectively, while the peaks located at 1093.3 and 1019.3 cm −1 were assigned to P-O stretching vibration [31,34,44,45].No significant difference was observed in Figure 8b-d, indicating that SHMP was not chemisorbed on chalcopyrite surface [32,45].3.6.XPS Analyses 3.6.1.Survey Spectra XPS analyses were conducted to further investigate the effects of SHMP on Ca and Mg complexes on chalcopyrite surfaces conditioned in different solutions.Figure 9a showed that no Ca was detected on untreated chalcopyrite surfaces.An apparent Ca 2p peak was found when chalcopyrite was treated in 0.01 M CaCl 2 solution (Figure 9b), suggesting the adsorption of Ca species on chalcopyrite surface [39].However, Figure 9c showed that the Ca 2p peak disappeared when 10 mg/L SHMP was added, indicating that SHMP prevented the attachments of Ca species on chalcopyrite.Compared to untreated chalcopyrite (Figure 9a), the peak intensity of Mg 1s on a chalcopyrite surface treated in 0.05 M MgCl 2 solution (Figure 9d) was increased significantly, indicating the adsorption of Mg precipitation on a chalcopyrite surface.However, the presence of 10 mg/L SHMP decreased Mg 1s peak intensity (Figure 9e), suggesting that SHMP prevented Mg precipitation on chalcopyrite surface significantly, consistent with contact angle and zeta potential measurements.The detailed atomic percentage of C 1s, S 2p, O 1s, Fe 2p, Cu 2p, Ca 2p and Mg 1s on chalcopyrite surfaces treated under different conditions were shown in Table 2.It is observed that the atomic concentrations of O 1s and Ca 2p on chalcopyrite surfaces were increased after CaCl 2 treatment, confirming the adsorption of Ca complexes on chalcopyrite surfaces.However, the addition of SHMP decreased O 1s and Ca 2p, indicating that SHMP prevented the adsorption of Ca complexes on chalcopyrite, consistent with zeta potential and contact angle measurements.
Similarly, Mg 1s and O 1s were increased from 1 at % to 3 at % and from 19 at % to 23 at %, respectively when the chalcopyrite surface was treated in 0.05 M MgCl 2 solution.The simultaneous and stoichiometric increment in Mg and O highly supported the adsorption of Mg(OH) 2 on chalcopyrite surfaces.In addition, when 10 mg/L SHMP was added, Mg 1s was decreased from 3 at % to 2 at % while O 1s was decreased from 23 at % to 21 at %, further indicating the removal of Mg(OH) 2 from chalcopyrite surface when SHMP was present.In other words, SHMP reduced the formation and adsorption of Mg(OH) 2 on chalcopyrite, thereby improving chalcopyrite recovery.
On the untreated chalcopyrite surface, the concentrations of S 2− , S 2 2− , S n 2− and SO 4 2− were 58%, 15%, 17% and 5%, respectively (Table 3).The presence of a small portion of SO 4 2− indicated that chalcopyrite surface was weekly oxidized by air during grinding or drying process.However, it was reduced to 2 % S and 3 % S when chalcopyrite was treated in 0.01 M CaCl 2 and 0.05 M MgCl 2 solutions, respectively, due possibly to the dissolution of sulfate from chalcopyrite surface into solution [48].
In addition, further decrease was observed when 10 mg/L SHMP was added, indicating that the addition of SHMP was beneficial to SO 4 2− dissolution.Noted: All BE with a typical variation of ± 0.1 eV.It should be noted that the hydroxide and sulfate were fitted at 531.3 ± 0.1 eV due to overlapping of the binding energy of these two O species [52].The presence of oxide on chalcopyrite surface was consistent with the S 2p analysis discussed above.solution (Table 3), the increase of OH − /SO 4 2− confirmed the adsorption of more OH − on chalcopyrite.
However, a significant decrease was observed when 10 mg/L SHMP was added, e.g., from 16 % O to 11% O and from 20% O to 13% O, respectively, further suggesting that the addition of SHMP decreased the adsorption of Ca and Mg complexes onto chalcopyrite due primarily to its dispersion effects.[51,[53][54][55][56], with the tail at higher binding energy being also possible due to the Cu 2+ species [57].As shown in Figure 12, no significant difference in Cu species (detailed values not shown herein) was observed when the chalcopyrite surface was treated under various conditions.

Mechanisms
The above flotation experiments and measurements indicated that Mg(OH) 2 colloids adversely affected chalcopyrite flotation recovery most significantly, due to its precipitation on chalcopyrite surfaces.Many previous studies demonstrated that the slime coating on the mineral surface was dominated by electrostatic forces [34,35,44,45].The heterocoagulation phenomenon can be explained by the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory [61,62], in which the total energy V T between chalcopyrite particles and Mg(OH) 2 colloids equals Van der Waals interaction energy V W and electrostatic double-layer interaction energy V E , according to Equation (4) [61,63].
V W can be calculated based on Equation (5).
where A refers to the Hamaker constant for chalcopyrite/water/ Mg(OH) Therefore, the radius of chalcopyrite particle (R 1 ) was set as 35 µm while the radius of Mg(OH) 2 colloid (R 2 ) was 3.8 µm.H (nm) refers to the distance between particles.The dispersive role of SHMP was achieved through increasing the absolute value of mineral surface potential, further increasing electrostatic repulsive energy between particles.Therefore, V E between chalcopyrite particles and Mg(OH) 2 colloid was calculated according to Equation (7) [62,63].
where ε 0 and ε r represent the vacuum dielectric constant and absolute dielectric constant of the continuous phase, with a given value of 6.95 × 10 −10 C 2 /(J•m) [66].ψ 1 and ψ 2 (mV) stand for the surface potentials of chalcopyrite and Mg(OH) 2 particles, respectively.In the absence of SHMP, the surface potentials (zeta potentials) of chalcopyrite and Mg(OH) 2 were 11.2 mV and 15.3 mV, respectively, which were reduced to −21.3 mV and −8.0 mV, respectively in the presence of 10 mg/L SHMP.κ −1 is the thickness of electric double-layer, κ = 0.180 nm −1 [34].Usually, a more negative V T between particles indicates a more stronger attraction force while a more positive V T reveals a more stronger repulsive force [61,62].Figure 14 shows V T between chalcopyrite and Mg(OH) 2 colloids with and without SHMP.In the absence of SHMP, V T between chalcopyrite and Mg(OH) 2 colloids was negative within all particle distances examined, indicated that Mg(OH) 2 colloids can be easily attached to chalcopyrite particles, forming aggregation.In contrast, in the presence of SHMP, the V T between chalcopyrite and Mg(OH) 2 colloids was reversed from negative to positive values, indicating that the attraction force was significantly reduced and the repulsion force was dominated.This is the primary mechanism that SHMP contributed to better chalcopyrite recovery in the presence of Mg 2+ , e.g., preventing the adsorption of Mg(OH) 2 colloids on chalcopyrite surface.

Conclusions
Chalcopyrite recovery was significantly reduced in both 0.01 M CaCl 2 and 0.05 M MgCl 2 solution under alkaline conditions, mainly due to the formation of metallic cations complexes and precipitation onto chalcopyrite surface, giving rise to a less hydrophobic surface.It was found that SHMP played an insignificant role on chalcopyrite recovery in ultrapure water, but apparently relieved the inhibition effects of Ca 2+ and Mg 2+ on chalcopyrite flotation.Various measurements indicated that the addition of SHMP decreased zeta potential of chalcopyrite particles and prevented the adsorption of positively charged Ca and Mg species which were hydrophilic, thereby increasing chalcopyrite recovery in the presence of Ca 2+ and Mg 2+ under alkaline conditions.This is the primary mechanism that SHMP contributed to better chalcopyrite flotation.In addition, a portion of SHMP reacted with Ca 2+ and Mg 2+ to form dissolvable complexes, reducing the formation of precipitation.Further theory calculation indicated that the predominantly beneficial effect of SHMP was assigned to the reverse of interaction force between chalcopyrite and magnesium hydroxide colloids, i.e., from attraction force to repulsion force, thereby preventing the adsorption of hydrophilic magnesium hydroxide on chalcopyrite surface.This study, for the first time, clearly and qualitatively presents two mechanisms of SHMP in improving chalcopyrite recovery in the presence of 0.01 M CaCl 2 and 0.05M MgCl 2 .

Figure 2 .
Figure 2. Chalcopyrite recovery as a function of pH.

Figure 3 .
Figure 3. Effects of SHMP dosage on chalcopyrite recovery at pH 9.5.

Figure 5 .
Figure 5. Contact angle of chalcopyrite in the presence of SHMP at pH 9.5.

Figure 6 .
Figure 6.Zeta potential of chalcopyrite in the presence of SHMP at pH 9.5.

Figure 7 .
Figure 7. Concentrations of dissolvable Ca and Mg species in the flotation cell, (a) before flotation, (b) after flotation, (c) after flotation with SHMP.

Figure 14 .
Figure 14.Electrostatic interaction energy between chalcopyrite and magnesium hydroxide colloids.

Table 3 .
S species (% S) on chalcopyrite surfaces treated under different conditions.

Table 4
showed that of OH − /SO 4 2− concentration was increased from 10 % O to 16 % O and 20 % O when chalcopyrite was treated in CaCl 2 and MgCl 2 solution, respectively.As survey spectra indicated that SO 4 2− was decreased when the chalcopyrite surface was treated in a CaCl 2 and MgCl 2