Basic Characteristics of Hemimorphite and Its Transformation Mechanism with Na 2 CO 3

The crystal of hemimorphite is a non-conductor. The Si–O bond in the crystal is strong, whereas the Zn–O bond is weak. These properties lead to the easy breakage of the Zn–O bond in the crushing process of hemimorphite. Thus, the interaction between minerals and polar water molecules is strong, and natural floatability of ores is poor. This study systematically investigated the characteristics of hemimorphite and its action mechanism with Na2CO3. Results of SEM-EDS showed that the surface of hemimorphite dissolved after interacting with Na2CO3, and the contents of Si and O decreased, whereas Zn and C increased. XPS analysis showed that the carbonate group was detected. The interaction between CO3 and hemimorphite was calculated using the first principles calculation based on density functional theory. The results indicate that an O atom in CO3 interacted with Zn2+ from the (100) plane of hemimorphite. The interaction between Zn and O atoms was not strong, and the Zn atoms were not completely displaced, which was proven by density of state analysis and the EDS and XPS results. The Mulliken population showed that the O–Zn bond was the atomic bonding of CO3 with Zn2+ and exhibited properties of ionic bonds. Thus, hemimorphite transformed to smithsonite-like mineral (ZnCO3) when acting with CO3.


Introduction
Zinc oxide ore is an important zinc mineral resource that is accompanied with technical problems during actual separation because of its various mineral resources, inlay complexity, and high soluble salt content [1,2].Minerals are easily slimed and lead to heavy metal loss.Mineral surfaces contaminated with other minerals are not easy to mineralize into monomers [3].In the application of zinc oxide ore flotation reagents, Dong et al. [4] from Hunan Research Institute of nonferrous metals used advanced xanthate and chelating collectors for the beneficiation of complex zinc oxide ore, and a good concentrate index was obtained.Zhou et al. [5] used sodium fluorosilicate and sodium silicate as inhibitors of gangue minerals which effectively promoted the recovery of zinc oxide ore.The recovery of oxidized zinc ores is usually carried out by flotation when fatty amines are used as collectors.This techniques characterized by the consumption of large amounts of reagents, and careful optimization of reagent proportion is needed [6].
To study hemimorphite activation, some researchers [7] conducted calculations of radical electronegativity and ultraviolet band spectrochemical analysis and used a series of analytical methods.They found that N and O atoms in α-nitroso-β-naphthol generate a corresponding chelate, which is a compound with Zn 2+ , on mineral surfaces upon the occurrence of bonding interactions.When α-nitroso-β-naphthol is used as an activating agent, the hydrophobicity of minerals is enhanced.Chen et al. [8] of Guangxi University found that OH − and HS − both exert an activation effect on hemimorphite.An obvious synergistic effect was observed in the pH range of 9-11.The "Na 2 S-Pb(II)-xanthate" process can be successfully used for the flotation of hemimorphite, increasing the recovery rate from 40% to 90%.PbS is generated when an ion exchange mechanism occurs between Pb(II) and ZnS, as proven by X-ray diffraction results [9].Similar effects of Pb(II) on hemimorphite were also observed in the sodium oleate flotation system [10].Besides, mechanical activation significantly influences the physicochemical properties of hemimorphite, such as morphologies, crystal structures, and particle size distributions [11].
The present study aimed to investigate the characteristics of hemimorphite and its transformation mechanism with Na 2 CO 3 .SEM-EDS and XPS were conducted to analyze the surface morphology, elemental changes and chemical states in minerals.We used computer simulation techniques to model the transformation of CO 3 2− on hemimorphite.The results can provide important insight into the transformation mechanism of CO 3 2− on hemimorphite.

Materials and Reagents
The hemimorphite sample used in these experiments was collected from Lanping in Yunnan Province, China.For transform experiments, the hemimorphite sample was crushed and dry ground in an agate mortar.Ground products were sieved to achieve a particle fraction of −74 µm accounts for 85%.Multi-elements analysis showed that the sample contained 53.81% Zn, which indicated high purity except for low levels of mineral impurities.X-ray diffraction (XRD) (Shimadzu, Kyoto, Japan) pattern of samples shown in Figure 1, hemimorphite crystal was observed, and the diffraction peak is consistent with the data presented in the JCPDS card.Analytical-grade Na 2 CO 3 and NaOH/H 2 SO 4 were employed as activator and regulator, respectively.Pure deionized water with a resistivity of 18 MΩ obtained from a Milli-Q5O system (Billerica, MA, USA) was used in these experiments.

SEM-EDS Analysis
Before and after acting with Na 2 CO 3 , the surface morphology and composition of the hemimorphite were examined by SEM-EDS under the Jeol JSM-6360 instrument (JEOL, Tokyo, Japan) at 20 kV.

XPS Analysis
The XPS measurements were performed using PHI5000 Versa Probe II (ULVAC-PHI, Chigasaki-shi, Japan) equipped with a monochromatic Al Kα X-ray source.The analyzed sample was first subjected to a survey scan to identify chemical components, followed by high-resolution scans on a certain element.Carbon is ubiquitous and is present on all surfaces for XPS analysis.Thus, all spectra were calibrated using the carbon 1s spectral peak at 284.8 eV.

Computational Methods
Calculations in this article were conducted using Cambridge Serial Total Energy Package developed by Payneet al. [12].This software package is the first-principle method based on density functional theory (DFT).Hemimorphite is a nesosilicate mineral and an orthorhombic system [13,14].It contains a 3D spatial skeleton formed by a connected vertex between Si-O double tetrahedra and Zn-O tetrahedra in its crystal structure.The three corners of the tetrahedron are bonded together and form a six-atomic ring (2Zn + Si + 3O), which is connected with each other on the (010) surface to form an unlimited extension of the layer.The electronic structure of the ore was calculated via DFT [15,16], and the optimized crystal cell model is shown in Figure 2.

Analysis of Energy Band Structure and Density of States of Hemimorphite
Energy band theory [17,18] can be used to qualitatively explain the motion characteristics of electrons in the crystal structure.The energy band structure of hemimorphite (Figure 3) mainly consists of three parts, conduction band (3.3 eV to 11.5 eV), valence band (−17.4 eV to −16.5 eV), and filled band (−8.5 eV to 0.68 eV).The conduction band is conductive, whereas the position in the filled band is full of electrons and does not show electrical conductivity.The valence band is occupied by the valence electron.The electronic movement as a whole is symmetrical when produced by the external force, and neither has electrical property.By contrast, electrical properties are exhibited when the motion of the electron is asymmetric.The energy band gap was analyzed, which demonstrated that the energy band gap of hemimorphite was 3.336 eV, differing greatly from another zinc oxide ore [19], but it was close to that of smithsonite (3.529 eV) [20].These properties indicate the weak electron mobility and poor conductivity of hemimorphite.Figure 4 presents the density of states of hemimorphite.The energy band was divided into four parts in the range of −19.7 eV to 11.0 eV.The valence band from −17.4 eV to 16.5 eV was mainly composed of the s orbitals and p orbitals, which also contributed to the density of states of hemimorphite.The valence band, which ranged from −8.5 eV to −7.1 eV, was mainly made up of p orbitals and s orbitals, and most of them were p orbitals.The valence band mainly consisted of d and p orbitals in the range of −7.1 eV to 0.68 eV, and the s orbitals contributed as well.In addition, the conduction band energy level was mainly composed of p and s orbitals, and the contributions of the two orbitals did not considerably differ.The density of states near the Fermi level was made up primarily of p and d orbitals, which indicated that this crystal was a non-conductor.These results were consistent with the findings of energy band analysis.

Mulliken Population Analysis
Mulliken population is a method used to describe the distribution of electric charge between the correlated atoms, and it can demonstrate the charge distribution, transfer, bonding, and other information in a simulated system [21][22][23][24].Professor Hu [25] proposed that bond energy E AB considers the population of overlapping atomic orbitals and different contributions caused by varying levels in the molecular orbital.The present study only analyzed the influence of the Mulliken population on bond energy intensity.The Mulliken population was successfully applied to the S N 2 reaction with resonance theory by Ikeda et al. [26].When the Mulliken population of bonds is large, the covalent bond between atoms is strong; if it is small, there is minimal overlap of electronic clouds and bond covalency is weak.The bond between atoms is ionic when the Mulliken population is low [27][28][29].The Mulliken population of hemimorphite is presented in Table 1, which shows that the bond length of Si-O was 1.6153 Å (average value).The population was 0.5975 (average value), and its covalency was strong.The bond length of Zn-O was 1.9529 Å (average value), and the population was 0.36 (average value).Therefore, ionicity for its covalency was weaker than that of the Si-O bond.Kaupp et al. [30] also reported further details in his research on bond length/bond strength.

Charge Density Difference of Hemimorphite
The analysis of the charge density difference of atoms revealed information on atomic bonding and gain and loss of electrons [31].As shown in the charge density difference map of hemimorphite in Figure 5, the blue region represents electron deficiency, the red area represents the electron concentration, and the white area shows minimal changes in electron density.The charge density difference of the Si-O bond is illustrated on the left side of Figure 4, whereas the right part illustrates the charge density difference of the Zn-O bond.The Si-O bond was covalent due to the large overlap of electron cloud between Si-O atoms in the internal structure of the crystal of hemimorphite.By contrast, the Zn-O bond showed iconicity because its degree of overlap was small with a low inter-atomic force.The floatability of minerals can be greatly influenced by their surface bond energy [32].Minerals with weak covalency and strong iconicity demonstrate strong hydrophilicity but good floatability.Given that the Si-O bond in hemimorphite was very strong, the Zn-O bond was often broken during crushing and grinding, resulting in the high presence of the Zn-O bond on the exposed mineral surface.The Zn-O bond exhibited strong ionicity and weak covalency, so minerals often showed a strong force with polar water molecules; this phenomenon was the reason for the poor flotability of hemimorphite.Ore is easily slimed during crushing and separating if the proportion of Si in the mineral composition is high, leading to minerals being hard to separate effectively [33,34].Thus, high-silicon hemimorphite was also difficult to separate.

Transformation Mechanism of CO 3 2− on Hemimorphite
The hemimorphite surface was analyzed by SEM-EDS before and after treatment with Na 2 CO 3 (Figure 6).Cao's research has proved that the floatability of hemimorphite behaves well when pH = 10.0 [35].Thus, transform experiment was carried out when Na 2 CO 3 (1 × 10 −3 mol/L) as activator, and the pulp pH was adjusted to pH = 10.0 by NaOH/H 2 SO 4 with 3 minutes treatment.Before the reaction, the dissociation surface of pure minerals was relatively flat with a pebble-like texture; the mineral surface turned concave and convex and exhibited breccias after the reaction.Thus, Na 2 CO 3 exerted significant dissolution to the surface of hemimorphite.EDS analysis revealed that the contents of O and Si on the surface of hemimorphite decreased, whereas Zn and C increased after the reaction with Na 2 CO 3 .Elemental Si and O in hemimorphite mainly existed in the form of Si 2 O 7 6− , so the decrease in the contents of O and Si was caused by the micro dissolution of Si 2 O 7 6− in solution.Simultaneously, the dissolution of Si 2 O 7 6− led to the increase in bare Zn 2+ on the surface of hemimorphite, which increased the Zn content.Furthermore, the significant increase in the C content was mainly due to the combination with bare Zn 2+ and then transformed smithsonite-like minerals that were not identical.As seen in the Table 2, the carbon content increased from 0.60% to 3.61% after acting, however, is still at a low level.

XPS Measurements for the Transformation of CO 3 2− on Hemimorphite
The C element content on the surface of hemimorphite is still at a low level after acting with Na 2 CO 3 analyzed by EDS.Thus, XPS was employed in this study for further explaining the existence of CO 3 2− on hemimorphite surfaces treated with the Na 2 CO 3 concentration of 1 × 10 −3 mol/L because XPS is a useful tool for directly detecting the elemental compositions and chemical states of interaction products [36][37][38].
The C1s spectra of the treated and untreated hemimorphite sample with Na 2 CO 3 are plotted in Figure 7.As shown in Figure 7a, the C1s peaks located at the binding energy values of 284.8 eV, 286.45 eV and 289.05 eV were attributed to the hydrocarbon and carbon-oxygen contaminants.The C1s peak in Figure 7b has a certain change due to the instrument deviation, corresponding to the 284.8 eV, 286.28 eV and 288.73 eV.As a result, the substantial contribution of C1s peaks to the transformed hemimorphite samples may be represented by the binding energy values of 289.59-289.26eV [36,37], corresponding to the 289.75 eV in Figure 7b, which is associated with the carbonate group.Some effects has occurred between CO 3 2− and hemimorphite, while the intensity of carbonate group in 289.75 eV is relatively low.To further prove the possibility of the existence of the above mentioned smithsonite-like minerals, the relationship between CO 3 2− and hemimorphite was calculated based on the first principles of DFT [39].The bond length formed by the transformation of CO 3 2− on hemimorphite was 2.159 Å after calculation (see Figure 11).Compared with the Mulliken population of hemimorphite after reaction whose bond length of O 029-Zn 011 was 2.15893 Å (Table 3, red box), both values were very close.The Zn-O bond was formed by CO 3 2− and Zn 2+ , whose Mulliken population value was 0.21.We observed an overlap of electronic cloud between atoms, which demonstrated the bonding states.Its value was relatively small, and the covalent bond was weak compared with the other O-Zn bond.Therefore, the property of the ionic bond was exhibited, which was consistent with the results of the analysis of density of states.

Conclusions
The crystal of hemimorphite is a non-conductor because the density of states near the Fermi level is composed of p and d orbitals.Hemimorphite exhibits a large band gap between the valence band and conduction band.Poor abilities of electron transport and conductivity of hemimorphite were proven by unit cell modeling and band structure analysis.The Mulliken population value of the Si-O bond was larger than that of the Zn-O bond, indicating strong covalency.Therefore, the Zn-O bond was mostly broken during rushing, and Zn-O and Zn 2+ were exposed on the mineral surface.The interaction between hemimorphite and polar water molecules was strong due to the strong ionicity and weak covalency of the Zn-O bond, which demonstrated good hydrophilicity.This interaction was one of the reasons why hemimorphite was difficult to separate.
The EDS analysis showed that the carbon content on hemimorphite increased from 0.60% to 3.61%, and XPS result revealed the carbonate group was detected at the binding energy values of 289.75 eV after acting.
One oxygen in CO 3 2− interacted with Zn 2+ from the (1 0 0) plane of hemimorphite, as indicated by the transformation model and its new peak of density of states of the d orbital.The bonding reaction was observed through the analysis of density of states.The position of the Zn-O bond should be in O 029-Zn 011, corresponding to the population of 0.21, which suggested the ionic bonds.Furthermore, the reaction between CO 3 2− and Zn 2+ was considered to transform a smithsonite-like mineral (ZnCO 3 ).

Figure 6 .
Figure 6.Energy dispersive spectroscopy of hemimorphite before (a) and after (b) reaction with Na 2 CO 3 .
Figure 8 illustrates the transformation model before and after the reaction of hemimorphite.Calculations demonstrated carbon and oxygen atoms in CO 3 2− tethered through a C-O single bond, in which one oxygen (red part) interacted with Zn 2+ (grey section) from the (100) plane of hemimorphite.The results of the analysis of density of states of Zn and CO 3 2− are depicted in Figures 9 and 10 before and after the interaction.

Figure 8 .
Figure 8. Transformation of initial (a) and final (b) states of CO 3 2− on the surface of the hemimorphite.

Table 1 .
Mulliken population value of partial bonds of hemimorphite.

Table 2 .
EDS analysis of selected particles of hemimorphite in a and b.

Table 3 .
Mulliken population value of partial bonds of hemimorphite after acting.