The Effect of Copper Sulfide Stoichiometric Coefficient and Morphology on Electrochemical Performance

In this work, CuS, Cu7S4, Cu9S5, Cu7.2S4, and Cu2S with the same morphology were successfully synthesized by the hydrothermal method. According to the calculation, their galvanostatic charge-discharge (GCD) curves were 43.29 (CuS), 86.3 (Cu7S4), 154 (Cu9S5), 185.4 (Cu7.2S4), and 206.9 F/g (Cu2S) at the current density of 1 A/g. The results showed that the energy storage capacity of copper sulfide with the same morphology increased with the increase of the copper sulfide stoichiometric coefficient. At the second part of this work, the agglomerated cuprous sulfide and the microporous cuprous sulfide were successfully prepared, respectively. In addition, the porous spherical cuprous sulfide was annealed to get nano cuprous sulfide. It is found that the specific capacity of the agglomerated structure is the highest, which had reached 206.9 F/g at the current density of 1 A/g, and 547.9 F/g at the current density of 10 A/g after activation.


Introduction
With the rapid development of energy technology, electric energy has become the protagonist of the energy era [1]. To meet the needs of rapid development, more and more high-efficient and environmentally friendly new energy sources and energy-storage devices are needed. Supercapacitors with high-power density, a long cycle life, and a fast-charging capacity have attracted the attention of electrochemical researchers in recent years [2,3]. Element copper ranks in the fourth period and the IB group in the periodic table with atomic No. 29. One electron in the outermost layer makes copper have more valence commonly. Rich raw materials, low price, excellent conductivity and easy machining make copper metal play an important role in industrial production and application [4]. Due to the more complex valence state of the sulfide phase and the higher electrochemical performance, transition metal sulfides as electrode materials for supercapacitors have attracted more attention. A high theoretical capacitance, high power density, abundant valence state, REDOX sites, and a low price make copper metal sulfide a widely concerned energy storage [5,6]. As for copper metal sulfide as electrode materials for supercapacitors, many researchers have reported their work. Wang Xiang et al. [7] used Cu 2 O, synthesized by chemical precipitation, and Cu 2 O as the template via a hydrothermal ion-exchange method to prepare nano Cu 7 S 4 , which provided a specific capacitance of 275 F/g at a current density of 1 A/g. Zhou et al. [8] used an ion exchange reaction to regulate the morphologies of Cu 7.2 S 4 and synthesized submicron and micron porous spheres of Cu 7.2 S 4 . The material has a specific capacitance of 491.5 F/g at a current density of 1 A/g. Ravindra N prepared Cu 2 S of flower-like nanotubes and integrated nanotubes by a continuous ionadsorption reaction with a specific capacitance of 761 F/g and 470 F/g at a scanning rate of 5 mV/s [9]. Therefore, via different synthesis methods and a post-treatment of materials, adjusting the structure morphology of copper sulfide and so on contributed to the study of the structure with larger specific capacitance. Copper metal sulfide materials have a huge application potential in the field of supercapacitor materials.
In this work, to better explore the stoichiometric coefficient affect energy storage mechanism of different copper sulfides, CuS, Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S with the same morphology were synthesized by hydrothermal method and adjusting morphology variables. The electrochemical properties of different copper sulfides were compared, and the energy storage performance of copper sulfides was discussed. Cuprous sulfide has good thermal stability, which will not decompose into cuprous sulfide and sulfur at high temperatures. Therefore, cuprous sulfide with good thermal stability was also selected as the research object. In order to further explore the effect of morphology and structure on the energy storage capacity of copper sulfide, the morphology of cuprous sulfide was regulated by different synthesis methods so as to carry out an electrochemical test and an exploration on different morphology of cuprous sulfides.  , and (250) crystal faces of Cu 4 (SO 4 )(OH) 6, respectively. However, in addition to the diffraction peak of Cu 4 (SO 4 )(OH) 6 , the pattern has other diffraction peaks, indicating that the substance is a mixture. It may contain copper, sulfur, hydrogen, and oxygen based on the reactants. The diffraction peaks of the other 2θ of 16.  To analyze XRD figures of five kinds of samples, it is proved that CuS, Cu7S4, Cu9S5, Cu7.2S4, and Cu2S have been successfully prepared by controlling the conditions of hydrothermal synthesis with Cu(CH3COO)2·H2O and TAA as raw materials. Figure 2a,c,e,g,i are the scanning images of CuS, Cu7S4, Cu9S5, Cu7.2S4, and Cu2S. As shown in Figure 2, the morphology of all these five kinds of copper sulfide is agglomerated particles with particle diameters ranging from 10 to 55 μm. The purpose of adjusting the five samples to the same morphology is to avoid the influence of morphology on the following electrochemical test. When only the ratio of copper to sulfur atoms is univariate, the comparability of data from subsequent electrochemical tests can be better guaranteed. It can be seen from Figure 2b,d,f,h,j that the large granularity of copper sulfide is mainly due to the agglomeration of small particles. The main reason is that the viscosity of the solvent is small [10]. To analyze XRD figures of five kinds of samples, it is proved that CuS, Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S have been successfully prepared by controlling the conditions of hydrothermal synthesis with Cu(CH 3 COO) 2 ·H 2 O and TAA as raw materials. Figure 2a,c,e,g,i are the scanning images of CuS, Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S. As shown in Figure 2, the morphology of all these five kinds of copper sulfide is agglomerated particles with particle diameters ranging from 10 to 55 µm. The purpose of adjusting the five samples to the same morphology is to avoid the influence of morphology on the following electrochemical test. When only the ratio of copper to sulfur atoms is univariate, the comparability of data from subsequent electrochemical tests can be better guaranteed. It can be seen from Figure 2b,d,f,h,j that the large granularity of copper sulfide is mainly due to the agglomeration of small particles. The main reason is that the viscosity of the solvent is small [10]. At room temperature, TAA was hydrolyzed and combined with Cu 2+ to form flocculent precursor Cu4(SO4)(OH)6 and copper sulfate pentahydrate. As shown in Equation (2), with the rise of hydrothermal temperature, TAA continues to hydrolyze to form S 2− . Then S 2− reacts with Cu4(SO4)(OH)6 to produce a CuS precipitate. When the ratio of Cu 2+ to S 2− ion is 1:1, CuS is precipitated in the solution, and the reaction ends. When the ratio of Cu 2+ to S 2− is greater than 1:1 (Cu(CH3COO)2·H2O:TAA =1.75:1, 1.8:1, 2:1), S 2− in the solution will reduce Cu 2+ , according to the amount of Cu 2+, and will eventually produce different copper sulfides Cu7S4, Cu9S5, Cu7.2S4, and Cu2S. The specific equations (Equations (3-7)) are as follows:  At room temperature, TAA was hydrolyzed and combined with Cu 2+ to form flocculent precursor Cu 4 (SO 4 )(OH) 6 and copper sulfate pentahydrate. As shown in Equation (2), with the rise of hydrothermal temperature, TAA continues to hydrolyze to form S 2− . Then S 2− reacts with Cu 4 (SO 4 )(OH) 6 to produce a CuS precipitate. When the ratio of Cu 2+ to S 2− ion is 1:1, CuS is precipitated in the solution, and the reaction ends. When the ratio of Cu 2+ to S 2− is greater than 1:1 (Cu(CH 3 COO) 2 ·H 2 O:TAA = 1.75:1, 1.8:1, 2:1), S 2− in the solution will reduce Cu 2+ , according to the amount of Cu 2+, and will eventually produce different copper sulfides Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S. The specific equations (Equations (3-7)) are as follows:

Morphological Analysis
In addition, as can be seen from the enlarged figure in Figure 2a, with the hydrothermal reaction, the crystal nuclei of copper sulfide grow into uniform nanoparticles. Then, due to the low viscosity of the solvent, the nanoparticles become close to agglomeration [11]. They come together, fuse at the boundary, and then eventually form aggregated particles of copper sulfide. Figure 3a shows cyclic voltammetry (CV) curves of CuS, Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S. (A three-electrode test method was adopted using a self-made electrode working electrode, a calomel electrode as a reference electrode, and a platinum electrode as a reverse electrode, a 2 mol/L KOH solution as an electrolyte solution, a scanning rate 5 mV/s, and a scanning potential range 0-0.6 V.) It can be seen from Figure 3a that the CV curves of the five copper sulfides all have obvious REDOX peaks, indicating that the electrochemical reaction of copper sulfides in circulation has a pseudocapacitive reaction. In addition, the oxidation and reduction peaks of the four copper sulfides are relatively symmetrical, indicating that the reaction reversibility of the four copper sulfides is good. However, the oxidation peak of cuprous sulfide is significantly higher than its reduction peak, indicating that the reversibility of cuprous sulfide is poor in the process of charge and discharge. By comparing the area enclosed by the CV curve, cuprous sulfide is significantly larger than other copper sulfides, which indicates that its energy storage performance is superior to other copper sulfides.

Electrochemical Test Analysis
In addition, as can be seen from the enlarged figure in Figure 2a, with the hydrothermal reaction, the crystal nuclei of copper sulfide grow into uniform nanoparticles. Then, due to the low viscosity of the solvent, the nanoparticles become close to agglomeration [11]. They come together, fuse at the boundary, and then eventually form aggregated particles of copper sulfide. Figure 3a shows cyclic voltammetry (CV) curves of CuS, Cu7S4, Cu9S5, Cu7.2S4, and Cu2S. (A three-electrode test method was adopted using a self-made electrode working electrode, a calomel electrode as a reference electrode, and a platinum electrode as a reverse electrode, a 2 mol/L KOH solution as an electrolyte solution, a scanning rate 5 mV/s, and a scanning potential range 0-0.6 V.) It can be seen from Figure 3a that the CV curves of the five copper sulfides all have obvious REDOX peaks, indicating that the electrochemical reaction of copper sulfides in circulation has a pseudocapacitive reaction. In addition, the oxidation and reduction peaks of the four copper sulfides are relatively symmetrical, indicating that the reaction reversibility of the four copper sulfides is good. However, the oxidation peak of cuprous sulfide is significantly higher than its reduction peak, indicating that the reversibility of cuprous sulfide is poor in the process of charge and discharge. By comparing the area enclosed by the CV curve, cuprous sulfide is significantly larger than other copper sulfides, which indicates that its energy storage performance is superior to other copper sulfides.   The material capacitance contribution rate b can be calculated by Equation (8) (b = 0.5, the electrode material behaves as battery property; b∈(0.5-1), and the electrode material shows the properties of battery and pseudocapacitance (b ≥ 1, and the electrode material exhibits pseudocapacitance properties). In Equation (8), where i is the peak current in the CV figure, v is the scanning rate, and a is a constant. Equations (8) and (9) is transformed by formula transformation. Then, a binary system of first order equations was established through multiple sets of data to eliminate the constant a; Equation (10) was then obtained. According to Equation (10), six different log(i 2 /i 1 ) and log(v 2 /v 1 ) groups were calculated by combining the data with the peak current i of scanning rate v of 5, 10, 20, and 50 mV/s, and b was obtained by fitting the data of six groups. According to the fitting data in Figure 3b, the capacitance contribution ratio b of CuS, Cu 7 S 4 , Cu 9 S 5, and Cu 2 S is 1.21, 1.08, 1.11, and 1.1, respectively. The values are all greater than 1, so copper sulfide as a supercapacitor material shows a pseudocapacitance property. This result corresponds to the CV curve in Figure 3a.

Electrochemical Test Analysis
According to the CV figure in Figure 3a, the CV curves of Cu 2 S has the largest area at the scanning rate of 5 mV/s, indicating that Cu 2 S has the best energy storage capacity. In order to better explore the electrochemical properties of the material, the constant current charge-discharge curve of the material was tested, and the specific capacitance of the material was calculated by Equation (11) [12]. (I is the discharge current; ∆t is the charging and discharging time; ∆v is put the potential range of filling; m is the quality of the active substance). Figure 4b is the GCD diagram of the material at a current density of 1 A/g. The specific capacitances of CuS, Cu 7 S 4 , Cu 7.2 S 4, and Cu 2 S were calculated as 43.2, 86.3, 185.4, and 206.9 F/g. In addition, Cu 9 S 5 has the same Cu-S content ratio as Cu 7.2 S 4 , both of which are 1.8:1. Like Cu 7.2 S 4 , Cu 9 S 5 has a specific capacitance of 154 F/g, which is between Cu 7 S 4 and Cu 2 S. It is found that with the increase of copper content in copper sulfide, the specific capacitance of the material increases, which also means that the energy storage capacity of the material is better. The results are in good agreement with the CV test. By observing the symmetry of GCD curves of five kinds of copper sulfides, different copper sulfides have excellent symmetry, which indicates that the coulomb efficiency of the materials is high. Equations (12) and (13) are the energy storage mechanisms of copper sulfide. According to the equations, the main reason for the energy storage mechanism of copper sulfide is the reversible pseudocapacitance reaction between copper sulfide and OH − in the electrolyte, which can be explained as the continuous increase of copper valence. From this, the energy storage mechanism of the other copper sulfide can be deduced, as shown in Equation (14). According to the equations, with the increase of Cu element in CuS, Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S, as well as the increase of x in Cu x S, more hydroxide can be reacted in the material, and the specific capacity of the material increases accordingly. In addition, according to the capacitance contribution rate b, copper sulfide exhibits pseudocapacitive properties when storing energy, which means that its ability to store charge completely comes from the reversible REDOX reaction of the electrode material. Therefore, with the increase of the Cu element in copper sulfide in Figure 4a, the REDOX pair provided by the material will increase accordingly, thus enabling the material to store more capacity, and its energy storage capacity will improve.  14) per sulfides. It can be seen from the figure that the high-frequency curves of the EIS dia-grams of the five materials are almost ignored, indicating that the internal resistance of copper sulfide is very small when it is used as the material of supercapacitor, which proved that it has good energy storage performance. The low-frequency EIS curves of CuS, Cu7S4, Cu9S5, Cu7.2S4, and Cu2S were analyzed. In this section, with the increase of the copper stoichiometry in the copper sulfide, the slope of the straight line in the low-frequency region gradually increases, indicating that the resistance of the interface charge transfer of the material is smaller and the diffusion resistance of the electrolyte of the material is lower. This also proves that its electrochemical ability is better. Figure 4. The schematic diagram of (a) energy storage of copper sulfide; the GCD diagrams of (b) different copper sulfides (CuS, Cu9S5, Cu7S4, Cu7.2S4, and Cu2S) at 1 A/g current density; the electrochemical impedance spectroscopy (EIS) diagrams and equivalent circuit of (c) different copper sulfides. Table 1 shows the specific capacitance and capacitance retention of different copper sulfides. According to the table, the retention rate of Cu9S5 reached 98.5%, which was higher than that of the other four materials. In addition, the capacitance retention of Cu7S4 and Cu2S is 96.3% and 93.7%, which also show excellent capacitance retention. The retention rate of Cu7.2S4 was lower than that of the first three copper sulfides, which maintained at 80.3%. However, the capacitance retention of CuS is the lowest, only 63.4%. This may be related to the stability of the material. According to the CRC Handbook of Chemistry . The schematic diagram of (a) energy storage of copper sulfide; the GCD diagrams of (b) different copper sulfides (CuS, Cu 9 S 5 , Cu 7 S 4 , Cu 7.2 S 4, and Cu 2 S) at 1 A/g current density; the electrochemical impedance spectroscopy (EIS) diagrams and equivalent circuit of (c) different copper sulfides.
The impedance of the material and strength of the charge-electron transport capacity can be analyzed by the AC impedance test. The test curve can be shown in the semi-circular diameter of the high-frequency region, which represents the charge-transfer resistance (Rct), and the low-frequency oblique line represents the diffusion resistance (Rw) of the electrode material, respectively. The electron transport speed in the reaction process is related with the Rct, and the slope of the oblique line is related with the Rw. The higher the slope of the oblique line, the lower the Rw. The ionic impedance of the electrolyte, the internal resistance of the electrode itself, and the interfacial impedance between the active material and the nickel foam collector can be shown as the intercept of the curve on the real axis, which represents the resistance (Rs). Figure 4c shows the electrochemical impedance spectroscopy (EIS) of different copper sulfides. It can be seen from the figure that the high-frequency curves of the EIS diagrams of the five materials are almost ignored, indicating that the internal resistance of copper sulfide is very small when it is used as the material of supercapacitor, which proved that it has good energy storage performance. The low-frequency EIS curves of CuS, Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S were analyzed. In this section, with the increase of the copper stoichiometry in the copper sulfide, the slope of the straight line in the low-frequency region gradually increases, indicating that the resistance of the interface charge transfer of the material is smaller and the diffusion resistance of the electrolyte of the material is lower. This also proves that its electrochemical ability is better. Table 1 shows the specific capacitance and capacitance retention of different copper sulfides. According to the table, the retention rate of Cu 9 S 5 reached 98.5%, which was higher than that of the other four materials. In addition, the capacitance retention of Cu 7 S 4 and Cu 2 S is 96.3% and 93.7%, which also show excellent capacitance retention. The retention rate of Cu 7.2 S 4 was lower than that of the first three copper sulfides, which maintained at 80.3%. However, the capacitance retention of CuS is the lowest, only 63.4%. This may be related to the stability of the material. According to the CRC Handbook of Chemistry and Physics of 2014-2015 edition, the standard molar entropy of copper sulfide is 66.5 J/mol K, and that of cuprous sulfide is 120.9 J/mol K. This indicates that the structural stability of Cu 2 S is better than CuS. Therefore, as a pseudocapacitive electrode, when the pseudocapacitive reaction occurs with the increase of current density, the resistance to a large current is stronger due to improved stability, so the capacitance retention rate is higher [13][14][15][16][17]. Table 1. The capacitance capability of different materials with the same morphology (CuS, Cu 9 S 5 , Cu 7 S 4 , Cu 7.2 S 4, and Cu 2 S) Cu-S ratio at 1 A/g and 10 A/g current density.  Figure 5 is the GCD cycle diagram of different copper sulfides at 10 A/g current density. It can be observed from Figure 5a-e that the cycle curve keeps an upward trend from 0 to 200 cycles. It shows that the specific capacitance of the material is increasing, and that the energy storage is increasing. The main reason is that the morphology of copper sulfide is agglomerate. With the continuous charge and discharge, the material continuously generates pseudocapacitive reactions. Then, the piles of copper sulfide spread out, increasing the specific surface area. Finally, the number of copper elements involved in the reaction continues to increase, thus increasing the charge stored in the material [18].

Cu-S Ratio C(1 A/g) C(10 A/g) Retention
It can be seen from the analysis of Figure 5 that Cu 2 S has the best cycle stability, and its capacity increases the most. It increased by 255.8% to 547.9 F/g. Secondly, the cyclic stability of Cu 9 S 5 was excellent and remained stable until 2000 cycles, and the specific capacity increased by 130.3%. The cyclic stability of Cu 7 S 4 is general. After rising, it stabilizes for a period of time, and then decreases with a small increase. The cycle stability of CuS is poor, and it begins to decline after 200 cycles without stable interval.
Finally, the cycle stability of Cu 7.2 S 4 is the worst, with no rising period and no stable region. After 1000 cycles, the specific capacity is only 44.5%. The cyclic stability of materials is related to the structural stability of materials. As the material is recycled, the original structure will continue to collapse. As a result, the number of materials involved in the reaction will continue to decrease, resulting in a decrease in the specific capacity of the material. With a high and non-integral Cu-S ratio, the crystal structure of Cu 7.2 S 4 may be more unstable, which resulted it in being infected the deepest and collapsing the most easily while the material was recycled. erates pseudocapacitive reactions. Then, the piles of copper sulfide spread out, increasing the specific surface area. Finally, the number of copper elements involved in the reaction continues to increase, thus increasing the charge stored in the material [18].
It can be seen from the analysis of Figure 5 that Cu2S has the best cycle stability, and its capacity increases the most. It increased by 255.8% to 547.9 F/g. Secondly, the cyclic stability of Cu9S5 was excellent and remained stable until 2000 cycles, and the specific capacity increased by 130.3%. The cyclic stability of Cu7S4 is general. After rising, it stabilizes for a period of time, and then decreases with a small increase. The cycle stability of CuS is poor, and it begins to decline after 200 cycles without stable interval. Finally, the cycle stability of Cu7.2S4 is the worst, with no rising period and no stab region. After 1000 cycles, the specific capacity is only 44.5%. The cyclic stability of mater als is related to the structural stability of materials. As the material is recycled, the origin structure will continue to collapse. As a result, the number of materials involved in th reaction will continue to decrease, resulting in a decrease in the specific capacity of th material. With a high and non-integral Cu-S ratio, the crystal structure of Cu7.2S4 may b more unstable, which resulted it in being infected the deepest and collapsing the mo easily while the material was recycled.   Figure 7 shows the SEM images of Cu2S(I), Cu2S(II), and Cu2S(III). Through SEM im ages, we can observe that the cuprous sulfide prepared by the three synthetic method has different morphologies. The materials shown in Figure 7a,b are also prepared by hy  Figure 7 shows the SEM images of Cu 2 S(I), Cu 2 S(II), and Cu 2 S(III). Through SEM images, we can observe that the cuprous sulfide prepared by the three synthetic methods has different morphologies. The materials shown in Figure 7a,b are also prepared by hydrothermal synthesis. The aggregate size of the synthesized large particles of cuprous sulfide is concentrated between 20 µm and 55 µm. Cuprous sulfide with a porous spherical structure, as shown in Figure 7c,d, were successfully prepared by changing the reaction solvent to 99% purity ethanol solution. The main reason is that the ethanol is weak acidic, which makes the S 2− and H + generated by the decomposition of thioacetamide generate H 2 S, thus reducing the nucleation rate of cuprous sulfide and affecting the final morphology. In addition, compared with distilled water, ethanol as a solvent has lower viscosity and lower surface tension. Therefore, cuprous sulfide crystals are subjected to less external force during the growth process so that the crystals can expand more outwardly. In turn, the agglomeration is reduced and larger pores are formed, resulting in a porous morphology.

SEM Analysis
28, x FOR PEER REVIEW 10 of 16 and lower surface tension. Therefore, cuprous sulfide crystals are subjected to less external force during the growth process so that the crystals can expand more outwardly. In turn, the agglomeration is reduced and larger pores are formed, resulting in a porous morphology. Figure 7e,f are the scanning images of Cu2S(III) prepared by annealing at 600 °C for 3 h with micropore structure cuprous sulfide. As can be seen from Figure 7d, the porous cuprous sulfide is formed by the fusion and combination of many nanoparticles. Since the subsequent annealing temperature of 600 °C is higher than the recrystallization temperature of cuprous sulfide, the junction of porous structure grains gradually melts under the action of high temperature, and the cuprous sulfide nanoparticles are separated. As the temperature increases, the particles gradually homogenize and eventually form nanoparticles cuprous sulfide. As can be seen from Figure 7f, the size of cuprous sulfide nanoparticles is concentrated at 500 nm. Figure 7. SEM images of cuprous sulfide with different morphologies: the scanning images of (a,b) Cu2S(I); the scanning images of (c,d) Cu2S(II); the scanning images of (e,f) Cu2S(III).

Electrochemical Test Analysis
It can be seen from Figure 8 that cuprous sulfide with three morphologies all have obvious REDOX peaks. According to the calculation of the capacitance contribution rate in the last work, there is no double electric layer effect in cuprous sulfide energy storage, indicating that the Faraday reaction occurs in the process of energy storage. In addition, by comparing the symmetry of the REDOX peak of the three materials, it can be seen that the oxidation peak height of cuprous sulfide with the three morphologies is obviously higher than its reduction peak height. It shows that the reversibility of materials is related to the properties of materials and has nothing to do with the morphology of materials. By comparing the areas enclosed by the CV curves of cuprous sulfide in a different morphology, it can be seen that the area enclosed by the agglomerated cuprous sulfide is the largest, followed by the CV area in the microporous condition, and the smallest is the nanoparticle. It is proved that when the morphology is agglomerate, cuprous sulfide has more excellent energy storage capacity, while nanoparticles have the worst energy storage capacity. In addition, the agglomerated cuprous sulfide has a higher current intensity, indicating that it has a faster REDOX kinetics during charge and discharge [19,20]. Figure 7e,f are the scanning images of Cu 2 S(III) prepared by annealing at 600 • C for 3 h with micropore structure cuprous sulfide. As can be seen from Figure 7d, the porous cuprous sulfide is formed by the fusion and combination of many nanoparticles. Since the subsequent annealing temperature of 600 • C is higher than the recrystallization temperature of cuprous sulfide, the junction of porous structure grains gradually melts under the action of high temperature, and the cuprous sulfide nanoparticles are separated. As the temperature increases, the particles gradually homogenize and eventually form nanoparticles cuprous sulfide. As can be seen from Figure 7f, the size of cuprous sulfide nanoparticles is concentrated at 500 nm.

Electrochemical Test Analysis
It can be seen from Figure 8 that cuprous sulfide with three morphologies all have obvious REDOX peaks. According to the calculation of the capacitance contribution rate in the last work, there is no double electric layer effect in cuprous sulfide energy storage, indicating that the Faraday reaction occurs in the process of energy storage. In addition, by comparing the symmetry of the REDOX peak of the three materials, it can be seen that the oxidation peak height of cuprous sulfide with the three morphologies is obviously higher than its reduction peak height. It shows that the reversibility of materials is related to the properties of materials and has nothing to do with the morphology of materials. By comparing the areas enclosed by the CV curves of cuprous sulfide in a different morphology, it can be seen that the area enclosed by the agglomerated cuprous sulfide is the largest, followed by the CV area in the microporous condition, and the smallest is the nanoparticle. It is proved that when the morphology is agglomerate, cuprous sulfide has more excellent energy storage capacity, while nanoparticles have the worst energy storage capacity. In addition, the agglomerated cuprous sulfide has a higher current intensity, indicating that it has a faster REDOX kinetics during charge and discharge [19,20]. As shown in Figure 9, the influence of morphology on the energy storage mance of materials was explored by conducting a constant current charge and di at different current densities for cuprous sulfide with different morphologies . Fig  to b show the charge-discharge curves of agglomerated and microporous cuprous at the current density of 1, 3, 5, 10 A/g. It can be seen from the figure that the symm the curve is improved, indicating that the coulomb efficiency of both is improved 9c shows the charge-discharge curve of cuprous sulfide nanoparticles. It can be se the figure that at the current density of 1 A/g, the charging time of the material is cantly longer than the discharging time, indicating that the coulomb efficiency of terial is poor at this current density. The reason is that the surface of the nanopar flat, which makes it difficult for OH − to attach during pseudocapacitance reacti separation and embedding of OH − are affected, which makes the coulombic effic the material poor. However, by increasing the current density, the symmetry of th rial becomes better, indicating that increasing the current is conducive to the ox process of nano cuprous sulfide, thus obtaining excellent coulomb efficiency [21,2 As shown in Figure 9, the influence of morphology on the energy storage performance of materials was explored by conducting a constant current charge and discharge at different current densities for cuprous sulfide with different morphologies. Figure 9a,b show the charge-discharge curves of agglomerated and microporous cuprous sulfide at the current density of 1, 3, 5, 10 A/g. It can be seen from the figure that the symmetry of the curve is improved, indicating that the coulomb efficiency of both is improved. Figure 9c shows the charge-discharge curve of cuprous sulfide nanoparticles. It can be seen from the figure that at the current density of 1 A/g, the charging time of the material is significantly longer than the discharging time, indicating that the coulomb efficiency of the material is poor at this current density. The reason is that the surface of the nanoparticles is flat, which makes it difficult for OH − to attach during pseudocapacitance reaction. The separation and embedding of OH − are affected, which makes the coulombic efficiency of the material poor. However, by increasing the current density, the symmetry of the material becomes better, indicating that increasing the current is conducive to the oxidation process of nano cuprous sulfide, thus obtaining excellent coulomb efficiency [21,22]. , x FOR PEER REVIEW 12 of 16 Figure 9. The GCD curves of (a) to (c) intensive reunion, microporous and nanoparticles three morphologies of Cu2S; capacitance retention of (d) three different morphologies.
The specific capacitance of the material can be calculated by the GCD curve of the material. Table 2 shows that the specific capacitance of cuprous sulfide with agglomerated, microporous, and nanoparticle morphology at the current density of 1 A/g is 206.9, 169.2 and 147.2 F/g. The specific capacitance at the current density of 10 A/g is 193.8, 159.2, and 140.6 F/g, respectively. The capacitance retention rates of the three materials were 93.7%, 94.1%, and 97%, respectively, and the best capacitance retention rate was obtained under the morphology of nano particles. The important reason is that compared with the other two kinds of morphologies, the nanoparticle morphology has better structural stability and stronger resistance when facing large current, so the retention rate is the best.

Specific Surface Analysis
According to Figure 10, it can be known that intensive reunion Cu2S and nanoparticles Cu2S has no obvious hysteresis ring, indicating that there is basically no pore structure. The microporous structure has a hysteretic ring, but the ring is not regular, indicating that the pore size distribution is uneven. The specific surface area of the agglomerated cuprous sulfide was 11 cm 2 /g. The specific surface area of the microporous cuprous sulfide is 3.22 cm 2 /g. The cuprous sulfide of nanoparticles was only 0.11 cm 2 /g. It is found that the specific surface area corresponds to the specific capacitance of the material. It shows that the energy storage capacity of the material increases with the increase of the specific sur- Nanoparticles Cu2S Figure 9. The GCD curves of (a-c) intensive reunion, microporous and nanoparticles three morphologies of Cu 2 S; capacitance retention of (d) three different morphologies.
The specific capacitance of the material can be calculated by the GCD curve of the material. Table 2 shows that the specific capacitance of cuprous sulfide with agglomerated, microporous, and nanoparticle morphology at the current density of 1 A/g is 206.9, 169.2 and 147.2 F/g. The specific capacitance at the current density of 10 A/g is 193.8, 159.2, and 140.6 F/g, respectively. The capacitance retention rates of the three materials were 93.7%, 94.1%, and 97%, respectively, and the best capacitance retention rate was obtained under the morphology of nano particles. The important reason is that compared with the other two kinds of morphologies, the nanoparticle morphology has better structural stability and stronger resistance when facing large current, so the retention rate is the best. Table 2. Specific capacitance and capacitance capability of cuprous sulfide with different morphologies.

Material C(1 A/g) C(10 A/g) Retention
Intensive

Specific Surface Analysis
According to Figure 10, it can be known that intensive reunion Cu 2 S and nanoparticles Cu 2 S has no obvious hysteresis ring, indicating that there is basically no pore structure. The microporous structure has a hysteretic ring, but the ring is not regular, indicating that the pore size distribution is uneven. The specific surface area of the agglomerated cuprous sulfide was 11 cm 2 /g. The specific surface area of the microporous cuprous sulfide is 3.22 cm 2 /g. The cuprous sulfide of nanoparticles was only 0.11 cm 2 /g. It is found that the specific surface area corresponds to the specific capacitance of the material. It shows that the energy storage capacity of the material increases with the increase of the specific surface area. The main reason is that in the process of pseudocapacitive reaction, a large specific surface area can provide more active sites so that more materials can participate in the reaction and, thus, more energy can be stored [23].  Figure 11a shows the AC impedance curves of agglomerated, microporous, and nanoparticular cuprous sulfide. It can be seen from the figure that the semicircular radius of the high-frequency zone curve of the agglomerated cuprous sulfide is the smallest, indicating that the electrical conductivity of the agglomerated cuprous sulfide is the best under this topography. The cuprous sulfide of nanoparticles has the largest radius, indicating that its electrical conductivity is worse than that of other morphology [24]. On the whole, although the electrical conductivity of materials with different morphologies is different, the curves in the high-frequency region of cuprous sulfide materials with three morphologies are almost ignored. It shows that the internal resistance of cuprous sulfide with different morphology is very small when used as supercapacitor materials. Figure 11. Different impedance curves of (a) three different morphologies of Cu2S; different cyclic stability of (b) three different morphologies of Cu2S.
The EIS curves of agglomerated, microporous, and nanoparticle Cu2S were analyzed at a low frequency, and it was found that the slope of the line in the microporous Cu2S low-frequency region was the highest. The results indicate that the resistance of interfacial charge transfer and the diffusion resistance of the electrolyte are lower when the material is used as the electrode. The reason is that the microporous Cu2S has larger pores inside, which makes the diffusion channel of electrolyte wider than the other two morphologies. As a result, the diffusion resistance of ions is smaller, which is more conducive to the diffusion of ions, resulting in a smaller interfacial charge transfer resistance and a lower diffusion resistance of the electrolyte [25]. Figure 11b shows the influence of morphology on the cyclic stability of cuprous sulfide materials. As shown in Figure 11, the specific capacitance of agglomerated particle morphology at the beginning of the cycle is 193.8 F/g. Then, the capacity continues to rise to the maximum capacity of 547.9 F/g to 2300 laps. By Lap 3000, the remaining specific  Figure 11a shows the AC impedance curves of agglomerated, microporous, and nanoparticular cuprous sulfide. It can be seen from the figure that the semicircular radius of the high-frequency zone curve of the agglomerated cuprous sulfide is the smallest, indicating that the electrical conductivity of the agglomerated cuprous sulfide is the best under this topography. The cuprous sulfide of nanoparticles has the largest radius, indicating that its electrical conductivity is worse than that of other morphology [24]. On the whole, although the electrical conductivity of materials with different morphologies is different, the curves in the high-frequency region of cuprous sulfide materials with three morphologies are almost ignored. It shows that the internal resistance of cuprous sulfide with different morphology is very small when used as supercapacitor materials.  Figure 11a shows the AC impedance curves of agglomerated, microporous, and nanoparticular cuprous sulfide. It can be seen from the figure that the semicircular radius of the high-frequency zone curve of the agglomerated cuprous sulfide is the smallest, indicating that the electrical conductivity of the agglomerated cuprous sulfide is the best under this topography. The cuprous sulfide of nanoparticles has the largest radius, indicating that its electrical conductivity is worse than that of other morphology [24]. On the whole, although the electrical conductivity of materials with different morphologies is different, the curves in the high-frequency region of cuprous sulfide materials with three morphologies are almost ignored. It shows that the internal resistance of cuprous sulfide with different morphology is very small when used as supercapacitor materials. Figure 11. Different impedance curves of (a) three different morphologies of Cu2S; different cyclic stability of (b) three different morphologies of Cu2S.
The EIS curves of agglomerated, microporous, and nanoparticle Cu2S were analyzed at a low frequency, and it was found that the slope of the line in the microporous Cu2S low-frequency region was the highest. The results indicate that the resistance of interfacial charge transfer and the diffusion resistance of the electrolyte are lower when the material is used as the electrode. The reason is that the microporous Cu2S has larger pores inside, which makes the diffusion channel of electrolyte wider than the other two morphologies. As a result, the diffusion resistance of ions is smaller, which is more conducive to the diffusion of ions, resulting in a smaller interfacial charge transfer resistance and a lower diffusion resistance of the electrolyte [25]. Figure 11b shows the influence of morphology on the cyclic stability of cuprous sulfide materials. As shown in Figure 11, the specific capacitance of agglomerated particle morphology at the beginning of the cycle is 193.8 F/g. Then, the capacity continues to rise to the maximum capacity of 547.9 F/g to 2300 laps. By Lap 3000, the remaining specific capacity was only 529.2 F/g. The square dot curve is the cycle graph of cuprous sulfide nanoparticles. As can be seen from the figure, the specific capacity of the material continues to rise from 140.6 F/g at the beginning to 227 F/g after 200 cycles during 0-3000 cycles.  Figure 11. Different impedance curves of (a) three different morphologies of Cu 2 S; different cyclic stability of (b) three different morphologies of Cu 2 S.
The EIS curves of agglomerated, microporous, and nanoparticle Cu 2 S were analyzed at a low frequency, and it was found that the slope of the line in the microporous Cu 2 S low-frequency region was the highest. The results indicate that the resistance of interfacial charge transfer and the diffusion resistance of the electrolyte are lower when the material is used as the electrode. The reason is that the microporous Cu 2 S has larger pores inside, which makes the diffusion channel of electrolyte wider than the other two morphologies. As a result, the diffusion resistance of ions is smaller, which is more conducive to the diffusion of ions, resulting in a smaller interfacial charge transfer resistance and a lower diffusion resistance of the electrolyte [25]. Figure 11b shows the influence of morphology on the cyclic stability of cuprous sulfide materials. As shown in Figure 11, the specific capacitance of agglomerated particle morphology at the beginning of the cycle is 193.8 F/g. Then, the capacity continues to rise to the maximum capacity of 547.9 F/g to 2300 laps. By Lap 3000, the remaining specific capacity was only 529.2 F/g. The square dot curve is the cycle graph of cuprous sulfide nanoparticles. As can be seen from the figure, the specific capacity of the material continues to rise from 140.6 F/g at the beginning to 227 F/g after 200 cycles during 0-3000 cycles. Then, it grows steadily to 3000 laps and stays steady. It briefly increases to a maximum of 340.2 F/g at 3400 laps. By 4000 cycles, the specific capacity was only 336.8 F/g. The triangulation curve shows the specific capacitance of the microporous cuprous sulfide during 3000 charge-discharge cycles. As shown in the figure, the microporous cuprous sulfide increases briefly from 159.2 F/g to 175.4 F/g. Then, it keeps going down. After 3000 cycles, only 129.6 F/g is left.
From the above analysis, it can be seen that both agglomerated cuprous sulfide and nanoparticle cuprous sulfide have good cycling stability, while the cycling stability of microporous cuprous sulfide is poor. The reason is that the stability of microporous cuprous sulfide is worse than the other structure. After repeated circulation, the microporous structure collapses, eventually forming a blockage. As a result, the specific surface area of the material decreases, and the active substances involved in the reaction decrease [26]. Finally, the specific capacity of the material continues to decline. The stability of cuprous sulfide particles is higher. Through a continuous reversible reaction, the active substances on the surface are constantly separated, thus making the specific surface area increase, making the specific capacity of the material increase. When the specific surface area increases to the limit, the specific capacity of the material begins to decline due to the cyclic loss of the material.

Synthesis of Different Copper Sulfides
By hydrothermal synthesis [27,28], 70 mL of distilled water was added into the reactor. Then, 1 mmol of copper acetate monohydrate was added and stirred until it was completely dissolved. In addition, 1 mmol of TAA was added, and the solution immediately generated flocculent precipitation. Then, the pH value of the solution was adjusted to alkaline by adding 3.5 mmol of sodium hydroxide. Then, the solution was transferred to a drying oven and kept at 180 • C for 24 h to get black precipitation. Finally, Cu x S y (I, CuS) was obtained by freeze-drying after cleaning it to neutral. Under the same method, Cu x S y (III, Cu 9 S 5 ) and Cu x S y (V, Cu 2 S) were obtained by adjusting the amount of monohydrate copper acetate to 1.8 mmol and 2 mmol. Cu x S y (IV, Cu 7.2 S 4 ) was obtained by changing the pH value of 1.8 mol solution with potassium hydroxide. The ratio of copper acetate monohydrate to TAA was 1.75:1, and other reaction conditions remained the same, so Cu x S y (II, Cu 7 S 4 ) was obtained.

Morphology Control of Cuprous Sulfide
Repeat 2.2 to obtain Cu 2 S (I). We changed 70 mL of distilled water in the reactor into 70 mL of alcohol, while 2 mmol of monohydrate copper acetate and 1 mmol of TAA were successively added. Then, Cu 2 S (II) was prepared by vacuum drying oven with 180 • C of heat preservation for 24 h. The Cu 2 S (II) was transferred to the sintering furnace and annealed in argon atmosphere at 600 • C for 3 h to obtain Cu 2 S (III).

Preparation of Test Electrodes
Common electrochemical workstation was used for electrode test and electrochemical test. The reference electrode was calomel electrode, the reverse electrode was platinum electrode, and the electrolyte solution was 2 mol/L of KOH in the test. We added 2 mg of PVDF and an appropriate amount of NMP into a 5 mL flask and electromagnetically stirred for 1.5 h. Then, 2 mg of acetylene black was added and stirred for 0.5 h. Active substances (Cu x S y (I, II, III, IV and V) and Cu 2 S (I, II and III)) were added for 16 mg, sealed, and stirred for 12 h to get the solution. We evenly dropped 0.3 mL of solution on the round sheet nickel foam wafer with a diameter of 10 mm, and then ventilated and dried it for 8 h. It was then vacuum dried for 12 h. Finally, the small wafer was connected with the pole ear at a pressure of 10 Mpa, and the test electrode was prepared by vacuum drying for 12 h.

Conclusions
Different stoichiometric coefficient copper sulfides, such as CuS, Cu 7 S 4 , Cu 9 S 5 , Cu 7.2 S 4, and Cu 2 S with uniform morphology, were prepared by a hydrothermal method. Electrochemical tests show that different copper sulfides exhibit pseudocapacitance properties when used as electrode materials for supercapacitors. In addition, the specific capacitance of copper sulfide increases with the increase of copper stoichiometric coefficient to sulfur. The main reason is that the increase of active sites makes more OH − participate in the pseudocapacitive reaction. It can be seen from the cyclic test at the current density of 10 A/g that cuprous sulfide has the best circulability. After activation, the specific capacitance can reach 547.9 F/g. Cu 9 S 5 was followed by Cu 7 S 4 , CuS was average, and Cu 7.2 S 4 was the worst. The agglomerated cuprous sulfide was successfully synthesized by the hydrothermal method. The microporous cuprous sulfide was successfully prepared by changing the reaction solvent. The nanometer cuprous sulfide was obtained by annealing microporous cuprous sulfide. Electrochemical tests show that the morphology has little effect on the pseudocapacity and impedance of cuprous sulfide. However, the specific capacitance is proportional to the specific surface area of different morphologies. In addition, the circulation of microporous cuprous sulfide is the worst. The reason is that its structure stability is poor; with the progress of the cycle, the structure of the material is destroyed, resulting in the constant decline of specific capacitance.

Data Availability Statement:
The data that support the findings of this work are available from the corresponding author upon reasonable request.