• <tr id="yyy80"></tr>
  • <sup id="yyy80"></sup>
  • <tfoot id="yyy80"><noscript id="yyy80"></noscript></tfoot>
  • 99热精品在线国产_美女午夜性视频免费_国产精品国产高清国产av_av欧美777_自拍偷自拍亚洲精品老妇_亚洲熟女精品中文字幕_www日本黄色视频网_国产精品野战在线观看 ?

    Analysis of the interaction energies between and within graphite particles during mechanical exfoliation

    2018-11-01 05:21:50YINLiDENGChuanDENGFeiGEXiaoling
    新型炭材料 2018年5期

    YIN Li, DENG Chuan, DENG Fei, GE Xiao-ling

    (1. School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China;2. Department of Material Science and Engineering, Chongqing Jiaotong University, Chongqing 400047, China)

    Abstract: A method for calculating the interaction energies between and within graphite particles is established by analyzing their thickness and lateral size distribution from AFM and SEM images of 300 particles during mechanical exfoliation at different times. The energy for exfoliating graphite sheets by breaking van der Waals (vdW) bonds, the energy for fracturing graphite sheets by breaking covalent bonds, the potential energies for restacking graphite sheets and the lateral aggregation of graphite particles are analyzed. Results show that the vdW interaction between graphite sheets is the key factor that leads to their restacking. Restacking and lateral aggregation become more active than exfoliation as exfoliation progresses. The energy for exfoliating graphite sheets by breaking vdW bonds is 4 times less than that the potential energy for restacking graphite sheets, and 2 orders of magnitude less than that the energy for fracturing graphite sheets by breaking covalent bonds. The increased number of exfoliated and fractured graphite sheets leads to a considerable increase in the restacking and lateral aggregation by vdW interaction. The coulombic energy is weak and can be ignored. The model has implications for the fabrication of aggregation-free graphite sheets with high aspect ratios.

    Key words: Mechanical exfoliation; Interaction energy; van der Waals; Potential energy of aggregation

    1 Introduction

    Graphene has potential applications in many technological devices, such as supercapacitors[1], nano-electronics[2], transparent conductive films[3]and nano-electromechanical systems[4,5]. Graphene has outstanding physical, mechanical and chemical properties[5,6]. Hence, many researchers have studied its applications and preparation. To obtain the one atom thick carbon material discovered by Novoselov and Geim[7], both bottom-up and top-down methods were established and have continued to be developed[8-10]. Compared with the bottom-up methods such as epitaxial growth and chemical vapor deposition[11-14], the top-down methods such as mechanical exfoliation and liquid exfoliation, produce graphene at large scale[15-20]. Exfoliating graphite in stirred media milling is a popular and important method for producing graphene because of its high exfoliation efficiency[19-23]. However, the yields of graphene have been low in many studies. For examples, the yields achieved by Knieke et al were 5%-10%[19], and 4.3% by Damm et al[20]. Therefore, it is of great importance to investigate the mechanical performance of graphite particles in the exfoliation process to understand the basic structural transformations and energy transfers involved in mechanical exfoliation and fabrication of free-standing graphene sheets.

    In stirred media milling, the graphite particles are broken by stress input, which consists of shear, compression and torsion energy[21,24,25]. The lateral and frontal dimensions, the thickness and size of the graphite particles, decrease because of stress developed during milling. However, there has been a common problem for many materials besides graphite during stirred media milling. That is milling consumes more and more stress energy when the dimensions of the material become smaller and smaller by milling[21,25-27]. This is a general phenomenon for grinding[28], comminuting[29,30]and milling[22,27]of a material. Due to the unclear nature of the material, the efficiency of the process and the quality of the exfoliated graphite are limited.

    There are some methods used to analyze energy consumed in the fracture processes of particles. However, few can be used for graphite. Tavares and King studied the fracture process of a single particle using a method based on continuum damage mechanics to describe breakage by repeated low-energy stressing[26,31,32]. Their studies helped to describe a single particle’s fracture law. However, it is hard to use their works to directly explain the fracture process and energy consumption mechanism of the graphite particles that have a unique 3D structure and discrete size distribution in exfoliation. Furthermore, the modeling methods based on the functions of energy-size reduction such as population balance model[23,28]and energy-size reduction model[27,28], are popular for studying energy consumption in the fracture processes. However, their results can not be correlated to the fracture mechanism of the material itself, but to the empirical equations that are determined by fitting parameters.

    To elucidate the structural transformation mechanisms of graphite in mechanical exfoliation, there are two aspects that need to be studied, which are energy consumption during the structural transformations and the calculation of the energy terms. In this paper, the energy interactions of the graphite structure are investigated and a model based on the thickness distribution and lateral size distribution of graphite are developed to calculate the energy consumed in structure transformations.

    2 Analysis of structural transformations of graphite particles

    During the exfoliation process in the stirred media milling, there are two structural transformations of graphite particles[19,20,33]. The one is the exfoliation of graphite sheets and the other is the fracture of bulk. The milling process of graphite in the stirred media milling includes the exfoliation of graphite sheets, the fracture of graphite bulks and the aggregation which hindering the decrease of the size of graphite particles.

    The structural transformations of graphite particles are related to the breaking interaction force within particles. Between two parallel graphene sheets, there ia van der Waals (vdW) interaction[19,34]that hinders the exfoliation of the sheets. For one-layer graphene, the carbon atom within each layer covalently bonds with three neighbor atoms in the sp2hybrid orbital. In the rest of the p orbital, electrons are delocalized to form a π bond[35,36]. These bonds between carbon atoms hinder the fracturing of the graphite sheets[33,37]. In addition, the graphite in water behaves as charged particles. The potential energy of the particles acting as bonding energy leads to the restacking of exfoliated graphite sheets and the aggregation of fractured graphite bulks[38,39]. The structural transformations of graphite particles in the exfoliation are presented in the Fig. 1. And the energy interactions within the graphite structure are given in supporting information.

    Fig. 1 The structural transformations of graphite particles during exfoliation. Breaking the vdW interactions leads to the exfoliation of graphite sheets; breaking the covalent bonds leads to the fracturing of the graphite bulk; the exfoliated sheets and fractured bulks are restacked and aggregated by potential energy, respectively.

    3 Energy interactions within the graphite structure and their correlation to the lateral size and thickness distributions of graphite particles during stirred media milling

    To analyze the mechanism of structural transformations of graphite, the vdW energy of exfoliating graphite sheetsEV, the covalent energy of fracturing bulksEc, the potential energy of restacking graphite sheetsEL, and the potential energy of aggregating graphite bulkEBshould be studied in depth. In this section, a model is proposed based on the size and thickness distributions of graphite particles to calculateEV,ELandEB, and stress energy input (the energy stressed on graphite particles only)ENis measured to determineEc.

    The two structural transformations, the exfoliation of graphite sheets and the fracturing of graphite bulk, can be characterized by the thickness and lateral size distributions, respectively. The thickness distribution characterizes the competing result of exfoliating and restacking of sheets. Accordingly, the lateral size distribution characterizes the compromising result of fracturing and aggregating the bulk. The exfoliation and restacking have an opposite effect on the thickness of graphite sheets, and the fracture and aggregation of graphite bulks have an opposite effect on the lateral size of graphite sheet. These four processes lead to changes of structural change of graphite particles during the stirred media milling. The relationship between the structural change and the total energy consumed in the stirred media milling is obtained as follows, the derivation process is given in Supporting information:

    (1)

    Eq. (1) reveals the relationship between the structural change of graphite particles and the energy consumed in a structural transformation. The tenability of the hypothesis is discussed in Supporting Information.

    3.1 Van der Waals energy in exfoliating graphite sheets EV

    The van der Waals interaction energy in exfoliating graphite sheetsEVis obtained based on Eq. (1):

    (2)

    (3)

    wheredis the interlayer separation of graphite (0.335 nm),hiis the thickness of leveli,Dis the thickness of a graphene sheet (0.35 nm).

    3.2 The potential energy of restacking graphite sheets EL

    The process of restacking graphite sheets is opposite to exfoliating graphite sheets. According to Eq. (1), the potential energy of restacking graphite sheetsELis given by

    (4)

    where the surface area for a thickness ofxiisSLiwith a mass fraction ofVLi.SLiis equal toSVibecause exfoliation is opposite to restacking.eLiis the aggregation potential energy of changing thickness fromxi+1toxi. According to the hypothesis for restacking graphite sheets, the energy required for changing the thickness of graphite fromxitoxjis equal to the energy required for changing fromxitoxk, then toxj(where i>k>j).eLican be obtained as

    eLi=δLi·(4Aεrε0kξ2e-kD-Aπρ2C/2D4)

    (5)

    where δLiis the layer difference between the thicknessxi+1andxi.

    3.3 The potential energy of aggregating bulks EB

    The process of aggregating graphite bulk is similar to that of restacking graphite sheets. The potential energy for aggregating bulkEBis obtained as

    (6)

    whereδBiis the layer difference betweenxiandxi+1. The size of the two aggregated bulks is the disc-equivalent diameter, which is obtained by combining the two sizes of the two bulks.eBiis the energy of aggregating graphite bulks to increase sizeRi+1toRi. According to the hypothesis for aggregating bulks, the

    energy of aggregating graphite bulks to increase lateral size fromRktoRk+nis equal to the total energy for aggregating graphite bulks to increase lateral size fromRktoRk+m, then toRk+n, where m

    eBi=rBieBm

    (7)

    whererBiis ratio of the surface area difference (Ri+1-Ri).eBmis the mean value of energy consumed in aggregating graphite bulk having arbitrary lateral size (in size distribution), which is given as

    (8)

    In the following sections, the structural transformations of graphite during mechanical exfoliation is described by the thickness and size distributions, and the energy discussed above is calculated to gain insight into the energy interactions and the mechanisms of the structural transformations of graphite involved in mechanical exfoliation and fabrication of free-standing graphene.

    4 Experimental

    4.1 Materials

    Natural flake graphite (Qingdao Chenyang Graphite Co. Ltd., Qingdao, China) with a mean particle size of 4 μm and a purity >99.5% was used in the milling experiments.

    4.2 Mechanical exfoliation in milling

    The milling experiment was carried out in a lab-scale stirred media mill (model SFJ-400, Shanghai XianDai Environmental Engineering Technique Co. Ltd., Shanghai, China). In this mill, the volume of the ceramic chamber is 600 mL. The stirrer is three wear resistant helical blades whose length is 60 cm. The experimental set-up is operated in batch mode. Yttria-stabilized zirconia milling beads (Tosoh Corporation, Tokyo, Japan) with an average diameter of 100 μm are used as the milling media. These beads have a density of 6 050 kg/m3and a chemical composition of 95% ZrO2and 5% Y2O3, according to the manufacturer. For a typical exfoliation experiment using the stirred media mill, the chamber of the mill (volume 600 mL) is loaded with 180 mL of de-ionized water, 0.2 g of graphite and 500 g of ZrO2beads[19,20]. The graphite in device is continuously milled for 15 h, and the thickness and size distribution are tested every 3 h. Changes in the thickness and lateral size distribution in the five 3h-time points are recorded and used in Eq. (2), (4) and (6).

    4.3 Preparation and characterization

    The thickness and the lateral size of graphite particles are characterized by Atomic Force Microscopy (AFM), Laser Particle Analysis (LPA) and Scanning Electron Microscopy (SEM). The freshly milled samples are homogenously deposited onto a silicon wafer by spin-coating, with a 300 nm thick SiO2layer on top. To determine the exact thickness of the graphite sheets the AFM NanoScope III (Digital Instruments/Veeco, Santa Barbara, CA, USA) is used in tapping mode using silicon tips with a resonance frequency of 320 kHz. The SEM images are obtained using an SEM EVOMA15 (Carl Zeiss NTS GmbH, Oberkochen, Germany). The LPA Mastersizer 3000 (Malvern Instruments Ltd, Worcestershire, UK) is used to analyze the particle size distributions. Five groups of samples are taken from the chamber after being milled for 3, 6, 9, 12 and 15 h. Each group contains 5 samples that are taken from the well-distributed mixture at different depths and horizontal positions in the chamber. The final size distribution of each group represents the mean distribution of 5 samples. Zeta potential measurements are carried out on a Malvern Zetasizer Nano system with irradiation from a 633 nm He-Ne laser. The samples are injected into folded capillary cells, and the measurements are conducted at 20 ℃ and at the neutral pH of the solution. Theξ-potential result holds strictly if the uniform surface charges of plate are large enough for edge charge to be neglected and its radius is much larger than the double layer thickness[40]. Because the double layer thickness k-1is 0.0125 nm in our samples, these criteria is observed here.

    By measuring the no-load (no graphite) torque and the loaded (graphite) torque during the milling process, the stressing energy input (the energy stressed on graphite)ENis determined[41-44]as

    (9)

    whereNis the energy input per second (J/s),tis the milling time (here, 3 h is the time of one milling phase),Tis the torque measured during the milling (Nm),T0is the no-load torque (Nm), and n is the number of revolutions of the loaded stirrer (the number of revolutions of the no-load stirrer is 1 000 r/min). n is measured by using a flash frequency velocimeter “DT2239B” (ShenZhen WeiFeng Instrumen Co. Ltd., Shenzhen, China). The relationship betweenTand n is as follows:T=9549.297×P/n, wherePis the power (kW) of the device. It is necessary to state that our experiment result is a kind of special situation because the similar stressing energy will lead to different or not quite equivalent particle size and thickness distributions. However, the tendencies of changing particle size and thickness distributions will be the same. Hence the analysis of the mechanism of graphite structural transformation will not be affected.

    5 Results and discussion

    5.1 Structural transformations of graphite during exfoliation

    First, the structural transformations of graphite in exfoliation from the results of experiment are analyzed. The sheet images presented in Fig. 2a, b show that the exfoliated graphite sheets are resulted from breaking vdW interactions between the graphite layers. Fig. 2b and c are partial enlarged images from Fig. 2a. The superimposed structure in them shows the restacked graphite sheets. The vertical view image presented in Fig. 2(c) shows the cross-section of graphite layers. In Fig. 2e and f, the adjacent structure of the graphite shows the aggregated graphite particles. The AFM image (presented in Fig. 3) shows the exfoliation and restacking of graphite sheets, and the fracture and aggregation of graphite bulk at the nano-scale. The structural transformations of graphite during the mechanical exfoliation match well with the assumed processes presented in Fig. 1.

    The size distributions of samples milled for 0, 3, 6, 9, 12, and 15 h measured by LPA are presented in Fig. 4. Their development shows the dimension of the graphite structure do not monotonically become thinner or smaller. They remain constant or go in the opposite direction as milling progresses. It gets harder to decrease lateral size of graphite by inputting constant energy as the resistant energy gets stronger with the progress of milling. The energy consumed in decreasing the graphite size is balanced with the resistant energy. And the aggregation of graphite become intense with the growth of the resistant energy.

    Fig. 3 AFM images of the milled sample. The top image shows a typical 20 μm × 20 μm square showing large numbers of graphene flakes. In the middle are three zoomed-in images of individual flakes. Below each image is a line scan taken vertically through the center of the image.

    Fig. 4 The size distributions of milled graphite. Insert: partial enlarged image of the region enclosed by the black square. The graphite is milled in surfactant-free, de-ionized water. The stirrer tip speed is set to 1 000 r/min, and 100 μm ZrO2 beads are used as the media. The size distribution of sample is measured every three hours.

    By analyzing the AFM and the SEM results, the thickness distribution of the graphite is obtained. The large graphite is thicker than the small graphite. The height and lateral size of graphite flakes are analyzed by a “Nanoscope” software from AFM. The height and lateral size of graphite flakes are determined by the scale bar in the vision of single graphite flake by SEM. The flakes with lateral size below 20 μm are analyzed by AFM (because the probe of Si in AFM will be broken easily if the lateral size is bigger than 20 μm) and those above 20 μm are analyzed by SEM. By statistical analysis of the height and lateral size of 300 graphite flakes via AFM and SEM, an accurate relationship between the layers and the lateral size of graphite is determined as shown in Fig. 5. There is an approximate relationship between the thickness and the lateral size of graphite, the thickness of the graphite corresponds one-to-one with lateral size. The thickness distributions (Fig. 6) are obtained by combining Fig. 4 and Fig. 5. The relationship presented in Fig. 5 simplifies the experiment that involved in measuring the thickness distribution of the whole graphite, and the calculation ofEVin Eq. (2),ELin Eq. (4) andEBin Eq. (6), by giving the layer of graphite an arbitrary size.

    Fig. 5 The rough relationship between the layers and the lateral size of graphite obtained by measuring the height and lateral size of 300 graphite flakes by AFM and SEM.

    Fig. 6 The thickness distributions obtained by combining Fig. 4 and Fig. 5. Insert: partial enlarged image of the region enclosed by the black square.

    5.2 Calculation of the energy consumption of structural transformations

    The parametersSVi、SLi(i is the hours of milling) and ξ in Eq. (2), Eq. (4) and Eq. (6) are determined here. Based on the LAP measurements, the specific surface areasSiof graphite milled for 0, 3, 6, 9, 12 and 15 h in 150 g de-ionized water are 3.78, 3.54, 3.15, 2.83, 2.59 and 1.709 8 m2/g, respectively. Here,RViis determined by the thickness distribution and presented in Fig. 10.SViandSLican be determined bySVi=SLi=Si·RVi. In the section 3.2, the aggregation energy expressions only strictly hold for |ξ| < 25 mV. Based on the measurements of the Zeta potentials ξ of the graphite-water mixture milled for 0, 3, 6, 9, 12 and 15 h are -28.0, -25.8, -20.4, -18.8, -15.4 and -12.8 mV, respectively. In addition, the hypothesis proposed for Eq. (2) has different meanings whenEV,EL, andEBare calculated. Its tenability is discussed in Appendix B. TheEC,EV,ELandEBconsumed in the mechanical exfoliation during 0-3 , 3-6 , 6-9 , 9-12 and 12-15 h, are calculated by using Eq. (1), Eq. (2), Eq. (4) and Eq. (6), and the results compared withENare presented in Fig. 7.

    Fig. 7 With equal stressing energy input EN, the vdW interaction energy of exfoliating graphite sheets EV, the covalent bonding energy of fracturing graphite bulk Ec, the potential energy of restacking graphite sheets EL and the potential energy of aggregating graphite bulk EB are calculated in exfoliation during 0-3, 3-6, 6-9, 9-12 and 12-15 h.

    5.3 Analysis of energy interaction of graphite structures

    Fig. 7 shows that more energy is consumed in the exfoliating graphite sheets, restacking graphite sheets, and aggregating graphite bulk; less energy is consumed in the fracturing of the graphite bulk. The vdW interaction energy of the exfoliating graphite sheets is 2 orders of magnitude less than the energy consumed in fracturing graphite bulk. The aggregation and restacking behaviors of graphite gets more active than the fracture and exfoliation behaviors with the progress of milling. This result agrees well with the growth of lateral sizes (Fig. 4) and thickness (Fig. 6).

    The energy consumed in the restacking graphite sheets and the energy consumed in the exfoliation of the graphite sheets have opposite effects on the thickness of graphite in milling. In Fig. 8,ELis 4 times greater thanEV, which means that the energy consumed in the restacking graphite sheets is 4 times greater than in the exfoliating graphite sheets. The growth ofEVandELcan be explained by the increased relative cumulative mass fractionRi(0)-Ri(t) of thicknessxiin Eq. (4). The restacking energy of the graphite sheetsELconsists of the vdW interaction energy termELVand the coulomb energy termELC.ELVis the main part ofEL, whereasELCis negligible. The vdW interaction between the two graphite sheets is the key factor that leads to restacking of the graphite sheets.

    Fig. 8 Comparison of the vdW interaction energy of exfoliating graphite sheets EV, the potential energy of restacking graphite sheets EL, and the vdW energy term ELV of ELand the coulomb energy term ELC of EL.

    The energy consumed in the restacking graphite sheets and the energy consumed in the exfoliation of the graphite sheets have opposite effects on the lateral size of graphite in milling. The growth ofEBis resulted from the increased relative cumulative mass fractionRi(0)-Ri(t) of lateral sizeRi. The decreasedECis resulted from the increasing potential energy of aggregating graphite bulk derived from constantEN. The aggregation energy of the graphite bulksEBconsists of the vdW interaction energy termEBVand the coulomb energy termEBC, according to Supporting Information. Fig. 8 shows thatEBVis the main part ofEB, whereasEBCis negligible. The van der Waals interactions between the two graphite bulks are the key factor that leads to aggregation of the graphite bulks.

    Fig. 9 Comparison of the covalent bonding energy of fracturing graphite bulk EC, the potential energy of aggregating graphite bulk EB, and the vdW energy term EBVand the coulomb energy term EBC of EB.

    Fig. 10 The relative cumulative mass fraction of graphite size in the periods 0-3, 3-6, 6-9, 9-12 and 12-15 h. Inset: the relative surface area ratio and the relative bulk area ratio in each time period of milling.

    5.4 The mechanism of energy interaction of graphite in mechanical exfoliation

    The van der Waals interactions are the key factor that hinders the exfoliation of graphite sheets and causes the restacking graphite sheets and the aggregation of graphite bulk. In Fig. 11. The total coulomb energy is negligible compared with the vdW energy, which increases from 6% at 0-3 h to 78% at 12-15 h, and the covalent bonding energy derived fromENdecreases from 94% at 0-3 h to 22% at 12-15 h. Most parts ofENare converted to vdW energy as mechanical exfoliation proceeds. The mechanism of energy interaction of graphite is as follows. As graphite exfoliation proceeds, the increasing amount of exfoliated graphite leads to an increased surface area and an enhanced vdW interaction energy. The graphite bulk fractures more as the covalent bonds are broken, releasing the vdW interaction energy that casues the increased aggregation behaviors of the graphite bulks. This means that the process of exfoliating graphite sheets is the process of releasing more vdW energy between the graphite sheets, and the process of fracturing the graphite bulk is the process of converting covalent bonding energy to vdW energy between the graphite bulks.

    Fig. 11 The proportion of stressing energy input EN devoted to vdW energy (the sum of EL, ELV and EBV), coulomb energy (the sum of ELC and EBC) and covalent bonding energy (EC).

    5.5 Suggestions for fabricating graphene sheets by mechanical exfoliation

    As the potential energy of restacking and aggregation continuously grows in exfoliation, the restacking graphite sheets and aggregation of graphite bulk should be avoided in fabricating free-standing graphene. The stabilization by surfactant-coating of graphite to prevent restacking and aggregation will be achieved only if there is a dynamic equilibrium between the potential energy of the restacking and aggregation and the resisting energy which is generated from organic solvents. According to our findings, the potential energy of restacking graphite sheets is 4 times greater than the vdW energy of exfoliating graphite sheets, so the corresponding resisting energy controlled by surfactant or organic solvent should be 4 times greater than the vdW energy of the exfoliating graphite sheets in the whole mechanical exfoliation.

    Based on our findings, the covalent bonding energy of fracturing the graphite bulk is two orders of magnitude greater than the vdW energy of the exfoliating graphite sheets, a critical stressing energy input given by stress field is needed to obtain graphite sheets with high aspect ratios. The energy components that go toward the exfoliation of graphite sheets and the fracturing of the graphite bulk are closely related to the tangential energy and the compressive energy in the stress field, respectively. The challenge is to determine how much the stressing energy input is needed toward the fracturing of the graphite bulk and the exfoliation of graphite sheets.The tangential energy should be greater than the energy of exfoliating graphite sheets, and the compressive energy should be two orders of magnitude less than the tangential energy to prevent the fracturing of the graphite bulk. The stress field, which provides critical stressing energy input, is obtained by controlling the process parameters such as media size, velocity and structure of the stirrer, which will be studied in the future.

    6 Conclusions

    This paper describes the structural transformations and energy interactions of graphite during mechanical exfoliation. A model is proposed based on the energy of interactions between graphite structures to calculate the vdW energy of the exfoliating graphite sheets, the covalent bonding energy of the fracturing graphite bulk, the potential energy of the restacking graphite sheets, and the potential energy of the aggregating graphite bulk. The mechanism of energy interaction of graphite structures shows that, as the amount of exfoliated graphite sheets increases and the fractured graphite bulk increases, more lateral and frontal areas of the graphite are released, leading to a large increase in the potential energy of the restacking sheets and aggregating bulk of graphite. This also hinders the exfoliation of the graphite sheets and the fracturing of the graphite bulk. The vdW energy of the exfoliating graphite sheets is 4 times less than that the potential energy of the restacking graphite sheets, which is 2 orders of magnitude less than the covalent bonding energy of the fracturing graphite bulk. The results of the model agree well with the increasing thickness and lateral size of the graphite in their distributions. The total coulomb energy of interaction between graphite structures in the mechanical exfoliation is negligible, the vdW energy is the main energy component that hinders the exfoliation of the graphite sheets and leads to an increased potential energy of the restacking graphite sheets and aggregation of graphite bulk. To avoid the restacking graphite sheets and aggregation of graphite bulk, the corresponding growth resistant energy generated by an organic solvent is needed to achieve a dynamic equilibrium between them and to achieve stable, aggregation-free, surfactant-coated graphene. Furthermore, the covalent bonding energy of the fracturing graphite bulk is two orders of magnitude greater than the vdW energy of the exfoliating graphite sheets, so it is important to control the critical stressing energy input provided by the stress field. In the stress field, the tangential energy is greater than the energy of exfoliating graphite sheets, and the compressive energy is two orders of magnitude less than the tangential energy.

    Acknowledgments

    The authors are grateful for financial support from Shanghai Huali Superfines Co., Ltd. The authors thank Mrs. Wang Jin from the School of Chemical Engineering of East China University of Science and Technology (ECUST) for LAP measurements, Mr. Zhou Kai from the School of Chemistry and Molecular Engineering of ECUST for SEM support, as well as Mr. Wang Hui from the Center of Analysis and Testing of ECUST for AFM support.

    亚洲avbb在线观看| 日韩 欧美 亚洲 中文字幕| 免费在线观看影片大全网站| 80岁老熟妇乱子伦牲交| 国产男女超爽视频在线观看| 国产精品秋霞免费鲁丝片| 最近最新中文字幕大全电影3 | 欧美 日韩 精品 国产| 另类亚洲欧美激情| 久久精品91无色码中文字幕| 多毛熟女@视频| 日日摸夜夜添夜夜添小说| 一区二区三区激情视频| 精品人妻在线不人妻| 天堂中文最新版在线下载| 日本vs欧美在线观看视频| 国精品久久久久久国模美| 精品少妇一区二区三区视频日本电影| 美女午夜性视频免费| 日韩欧美免费精品| 亚洲人成伊人成综合网2020| av电影中文网址| 大型黄色视频在线免费观看| 国产精品自产拍在线观看55亚洲 | 日本五十路高清| 国产精品九九99| 成人黄色视频免费在线看| 色尼玛亚洲综合影院| 欧美激情久久久久久爽电影 | 天堂俺去俺来也www色官网| 日韩免费av在线播放| 一进一出抽搐gif免费好疼 | 999精品在线视频| av线在线观看网站| 精品一区二区三卡| 欧美黄色片欧美黄色片| 国产亚洲欧美在线一区二区| 黄频高清免费视频| 午夜精品在线福利| 久久人妻熟女aⅴ| 99riav亚洲国产免费| 国产精品美女特级片免费视频播放器 | 亚洲性夜色夜夜综合| 大香蕉久久成人网| xxx96com| 亚洲三区欧美一区| 在线免费观看的www视频| 中国美女看黄片| 国产精品永久免费网站| 欧美日韩瑟瑟在线播放| 国产精品久久久人人做人人爽| 精品福利永久在线观看| 亚洲精品国产色婷婷电影| 亚洲专区国产一区二区| 两个人免费观看高清视频| cao死你这个sao货| 亚洲情色 制服丝袜| 国产精品亚洲一级av第二区| 免费在线观看完整版高清| 欧美亚洲 丝袜 人妻 在线| 久久ye,这里只有精品| 又紧又爽又黄一区二区| 捣出白浆h1v1| aaaaa片日本免费| 99久久99久久久精品蜜桃| 午夜免费成人在线视频| 中文字幕另类日韩欧美亚洲嫩草| 欧美另类亚洲清纯唯美| 丰满饥渴人妻一区二区三| 在线永久观看黄色视频| 亚洲色图 男人天堂 中文字幕| 黄片播放在线免费| 久久精品国产a三级三级三级| 色94色欧美一区二区| x7x7x7水蜜桃| 无限看片的www在线观看| 天天躁狠狠躁夜夜躁狠狠躁| 一级片免费观看大全| 国产精品 欧美亚洲| 侵犯人妻中文字幕一二三四区| 少妇被粗大的猛进出69影院| 欧美乱妇无乱码| 50天的宝宝边吃奶边哭怎么回事| 黄色 视频免费看| 国产欧美亚洲国产| 国产精品秋霞免费鲁丝片| 天天躁日日躁夜夜躁夜夜| 男女午夜视频在线观看| 中文字幕人妻丝袜制服| av一本久久久久| 午夜两性在线视频| 成人亚洲精品一区在线观看| 亚洲综合色网址| 一边摸一边抽搐一进一出视频| 一区福利在线观看| 国产av又大| 91老司机精品| 女人高潮潮喷娇喘18禁视频| 日韩欧美免费精品| 一级作爱视频免费观看| 日韩免费高清中文字幕av| 激情视频va一区二区三区| 久久狼人影院| 欧美亚洲 丝袜 人妻 在线| 50天的宝宝边吃奶边哭怎么回事| 午夜免费成人在线视频| а√天堂www在线а√下载 | 久久久久国产精品人妻aⅴ院 | 老司机在亚洲福利影院| 丝瓜视频免费看黄片| 日韩三级视频一区二区三区| 欧美精品人与动牲交sv欧美| 欧美成人免费av一区二区三区 | 人人妻,人人澡人人爽秒播| 一二三四社区在线视频社区8| 国产精品久久久久久人妻精品电影| 国产精品成人在线| 欧美国产精品一级二级三级| 国产人伦9x9x在线观看| 我的亚洲天堂| 在线观看舔阴道视频| 一区二区三区激情视频| 精品一品国产午夜福利视频| 亚洲性夜色夜夜综合| 99香蕉大伊视频| 黄色丝袜av网址大全| 又黄又粗又硬又大视频| 三上悠亚av全集在线观看| av视频免费观看在线观看| 大陆偷拍与自拍| 男人操女人黄网站| 久久ye,这里只有精品| 亚洲一区中文字幕在线| 日韩成人在线观看一区二区三区| 国产一区二区三区综合在线观看| av网站免费在线观看视频| 国产不卡av网站在线观看| 看黄色毛片网站| 不卡av一区二区三区| 女同久久另类99精品国产91| www.自偷自拍.com| 亚洲男人天堂网一区| 69av精品久久久久久| 国产精品秋霞免费鲁丝片| 欧美另类亚洲清纯唯美| 欧美乱色亚洲激情| 欧美+亚洲+日韩+国产| 十八禁网站免费在线| 在线观看免费日韩欧美大片| 欧美精品av麻豆av| 一二三四在线观看免费中文在| 国产成人系列免费观看| 亚洲九九香蕉| 久9热在线精品视频| 男女床上黄色一级片免费看| 国产精品久久视频播放| √禁漫天堂资源中文www| 757午夜福利合集在线观看| 三上悠亚av全集在线观看| 精品福利永久在线观看| 在线观看免费日韩欧美大片| 欧美一级毛片孕妇| 久久精品亚洲精品国产色婷小说| 国产无遮挡羞羞视频在线观看| 免费在线观看影片大全网站| 日韩免费高清中文字幕av| 免费久久久久久久精品成人欧美视频| 一级毛片精品| 亚洲va日本ⅴa欧美va伊人久久| 999久久久精品免费观看国产| 国产主播在线观看一区二区| 久久人妻熟女aⅴ| 久久久国产成人精品二区 | 午夜成年电影在线免费观看| 丝袜美足系列| 亚洲精品中文字幕在线视频| 91麻豆精品激情在线观看国产 | 久久精品亚洲av国产电影网| 国产片内射在线| 757午夜福利合集在线观看| 黄片小视频在线播放| 国产色视频综合| 成人精品一区二区免费| 久久亚洲精品不卡| 久久久精品国产亚洲av高清涩受| 一二三四在线观看免费中文在| 黄色视频不卡| 欧美一级毛片孕妇| 黄色 视频免费看| 久久人妻熟女aⅴ| 国产精品一区二区免费欧美| 精品视频人人做人人爽| 很黄的视频免费| 水蜜桃什么品种好| 久久国产精品大桥未久av| 美女扒开内裤让男人捅视频| www.自偷自拍.com| 中文欧美无线码| 成人永久免费在线观看视频| 国产一区二区三区综合在线观看| 国产精品永久免费网站| 日韩成人在线观看一区二区三区| 亚洲人成电影免费在线| 国产亚洲精品久久久久久毛片 | 黄色成人免费大全| 天天添夜夜摸| 亚洲综合色网址| 国产一区二区三区视频了| 90打野战视频偷拍视频| 久久久久久久久免费视频了| 精品人妻在线不人妻| 99久久国产精品久久久| 亚洲精品在线美女| 最近最新免费中文字幕在线| 国产免费男女视频| 十八禁网站免费在线| av网站在线播放免费| 老汉色∧v一级毛片| 天堂动漫精品| 丰满人妻熟妇乱又伦精品不卡| 纯流量卡能插随身wifi吗| 人成视频在线观看免费观看| 亚洲欧美一区二区三区久久| 日本黄色日本黄色录像| 多毛熟女@视频| 99久久人妻综合| 一边摸一边抽搐一进一小说 | 久久亚洲真实| 不卡av一区二区三区| 亚洲,欧美精品.| 亚洲五月婷婷丁香| av网站免费在线观看视频| 成人免费观看视频高清| 一区在线观看完整版| 亚洲情色 制服丝袜| 婷婷成人精品国产| 19禁男女啪啪无遮挡网站| 两性夫妻黄色片| av网站在线播放免费| 激情在线观看视频在线高清 | 国产色视频综合| 日日夜夜操网爽| 国产深夜福利视频在线观看| 国产一区二区三区在线臀色熟女 | 免费久久久久久久精品成人欧美视频| 黄色成人免费大全| 欧美精品高潮呻吟av久久| 久久精品国产亚洲av高清一级| 中出人妻视频一区二区| 韩国av一区二区三区四区| 亚洲成人免费av在线播放| 日本a在线网址| 美女扒开内裤让男人捅视频| 在线观看免费视频日本深夜| 亚洲久久久国产精品| 亚洲第一欧美日韩一区二区三区| av中文乱码字幕在线| 欧美成狂野欧美在线观看| 曰老女人黄片| 久久精品国产亚洲av高清一级| 少妇猛男粗大的猛烈进出视频| 欧美午夜高清在线| 国产精品亚洲av一区麻豆| 少妇粗大呻吟视频| 在线观看免费日韩欧美大片| av免费在线观看网站| 亚洲九九香蕉| 亚洲欧美一区二区三区久久| 久久久国产精品麻豆| 久久午夜综合久久蜜桃| 美女午夜性视频免费| 精品国产一区二区久久| 亚洲三区欧美一区| av超薄肉色丝袜交足视频| 亚洲一区二区三区不卡视频| 精品久久久久久久毛片微露脸| 国产日韩一区二区三区精品不卡| 成人国产一区最新在线观看| 99香蕉大伊视频| 欧美成人午夜精品| 老司机影院毛片| 一级片'在线观看视频| 亚洲精品国产区一区二| 美国免费a级毛片| 国产深夜福利视频在线观看| 国产成人精品无人区| 亚洲免费av在线视频| 久久精品国产综合久久久| avwww免费| 国产av又大| 天天躁日日躁夜夜躁夜夜| 国产精品影院久久| 一边摸一边抽搐一进一小说 | 午夜福利乱码中文字幕| 国产精品偷伦视频观看了| 啦啦啦在线免费观看视频4| 在线观看免费视频日本深夜| 别揉我奶头~嗯~啊~动态视频| 欧美日韩国产mv在线观看视频| 丰满的人妻完整版| 桃红色精品国产亚洲av| 美国免费a级毛片| av视频免费观看在线观看| 免费观看a级毛片全部| 啦啦啦视频在线资源免费观看| 久久精品国产a三级三级三级| 亚洲av熟女| 欧美大码av| 午夜精品国产一区二区电影| 欧美激情高清一区二区三区| 欧美中文综合在线视频| 国产一区二区三区视频了| 日韩视频一区二区在线观看| 性少妇av在线| 变态另类成人亚洲欧美熟女 | 色老头精品视频在线观看| a级片在线免费高清观看视频| 免费在线观看黄色视频的| 日日爽夜夜爽网站| 亚洲熟妇熟女久久| 中文字幕av电影在线播放| 国产精品二区激情视频| 夜夜躁狠狠躁天天躁| 久久天堂一区二区三区四区| www.精华液| 国产真人三级小视频在线观看| 日本vs欧美在线观看视频| 天堂俺去俺来也www色官网| 久久精品91无色码中文字幕| 一级a爱视频在线免费观看| 亚洲国产精品一区二区三区在线| 高清欧美精品videossex| 人人妻人人澡人人爽人人夜夜| 50天的宝宝边吃奶边哭怎么回事| 巨乳人妻的诱惑在线观看| 最新在线观看一区二区三区| 在线视频色国产色| 99久久综合精品五月天人人| 日韩 欧美 亚洲 中文字幕| 久久精品国产99精品国产亚洲性色 | 国产欧美日韩综合在线一区二区| 亚洲 国产 在线| 别揉我奶头~嗯~啊~动态视频| 不卡一级毛片| 两性夫妻黄色片| 日韩中文字幕欧美一区二区| 两性夫妻黄色片| 动漫黄色视频在线观看| 欧美色视频一区免费| 动漫黄色视频在线观看| 后天国语完整版免费观看| 亚洲三区欧美一区| 欧美日韩视频精品一区| 纯流量卡能插随身wifi吗| 久久香蕉激情| 日韩制服丝袜自拍偷拍| 夜夜夜夜夜久久久久| 人人妻,人人澡人人爽秒播| 女警被强在线播放| 日本五十路高清| 极品人妻少妇av视频| 自线自在国产av| 国产极品粉嫩免费观看在线| 日韩欧美国产一区二区入口| 国产区一区二久久| 免费少妇av软件| 精品久久蜜臀av无| 亚洲片人在线观看| 国产片内射在线| 欧美午夜高清在线| 我的亚洲天堂| 女人久久www免费人成看片| 看片在线看免费视频| 成年人免费黄色播放视频| 看免费av毛片| 美女高潮到喷水免费观看| 中文字幕av电影在线播放| 美女高潮到喷水免费观看| 少妇猛男粗大的猛烈进出视频| videosex国产| 欧美日韩国产mv在线观看视频| 国产精品自产拍在线观看55亚洲 | 午夜福利在线观看吧| 9热在线视频观看99| 人成视频在线观看免费观看| 精品少妇一区二区三区视频日本电影| 两性夫妻黄色片| 老汉色∧v一级毛片| 免费观看a级毛片全部| 老熟妇仑乱视频hdxx| 99热国产这里只有精品6| 精品电影一区二区在线| 免费不卡黄色视频| 一级a爱片免费观看的视频| 成人三级做爰电影| 久久久精品免费免费高清| 99热网站在线观看| 国产野战对白在线观看| 色综合欧美亚洲国产小说| 在线观看免费视频网站a站| 成人18禁在线播放| 日本精品一区二区三区蜜桃| 99国产精品99久久久久| 国产精品av久久久久免费| 无限看片的www在线观看| 在线看a的网站| 成年版毛片免费区| 国产成人影院久久av| 午夜两性在线视频| 欧美日韩一级在线毛片| 男女午夜视频在线观看| 大片电影免费在线观看免费| 国产一卡二卡三卡精品| 久久青草综合色| 黄色视频不卡| 亚洲午夜理论影院| 日本a在线网址| 国产精品一区二区精品视频观看| 中文欧美无线码| 纯流量卡能插随身wifi吗| x7x7x7水蜜桃| 久久狼人影院| 亚洲欧洲精品一区二区精品久久久| 午夜福利,免费看| 怎么达到女性高潮| 亚洲性夜色夜夜综合| 欧美性长视频在线观看| 国产精品久久视频播放| 丝袜在线中文字幕| 操美女的视频在线观看| 精品一品国产午夜福利视频| 黄片播放在线免费| 一个人免费在线观看的高清视频| 757午夜福利合集在线观看| 午夜福利在线观看吧| 亚洲精品在线美女| 精品一区二区三区四区五区乱码| 搡老岳熟女国产| 欧美中文综合在线视频| www.999成人在线观看| 中文字幕av电影在线播放| 黄色视频,在线免费观看| 色婷婷久久久亚洲欧美| 黄片大片在线免费观看| 成人国产一区最新在线观看| 婷婷丁香在线五月| 宅男免费午夜| 亚洲成人手机| 最近最新中文字幕大全免费视频| 亚洲成人免费电影在线观看| 午夜老司机福利片| 搡老岳熟女国产| 在线播放国产精品三级| 老汉色av国产亚洲站长工具| 美国免费a级毛片| 亚洲av欧美aⅴ国产| 日韩中文字幕欧美一区二区| 国产不卡一卡二| 国产精品免费大片| 午夜福利,免费看| 一区二区三区国产精品乱码| 在线看a的网站| 中文亚洲av片在线观看爽 | 丁香欧美五月| 成人18禁高潮啪啪吃奶动态图| 19禁男女啪啪无遮挡网站| 好看av亚洲va欧美ⅴa在| 国产成人精品久久二区二区91| 麻豆乱淫一区二区| 人人妻人人澡人人看| 免费少妇av软件| 欧美大码av| 久久 成人 亚洲| 国产精品av久久久久免费| 国产乱人伦免费视频| 国产av又大| 新久久久久国产一级毛片| 法律面前人人平等表现在哪些方面| 亚洲成av片中文字幕在线观看| 亚洲午夜理论影院| 亚洲国产欧美一区二区综合| 老汉色∧v一级毛片| 夜夜夜夜夜久久久久| 国产高清激情床上av| 精品一区二区三区av网在线观看| 99国产综合亚洲精品| 欧美日韩精品网址| 男人操女人黄网站| 久久国产乱子伦精品免费另类| 丰满人妻熟妇乱又伦精品不卡| 亚洲熟妇熟女久久| 久久精品亚洲熟妇少妇任你| 在线观看免费日韩欧美大片| 国产亚洲精品第一综合不卡| 久久ye,这里只有精品| 视频区欧美日本亚洲| 色老头精品视频在线观看| 成年人黄色毛片网站| 国产日韩欧美亚洲二区| 国产高清videossex| 欧美日韩中文字幕国产精品一区二区三区 | 黄色视频,在线免费观看| 水蜜桃什么品种好| 女警被强在线播放| 在线观看免费视频网站a站| 久久青草综合色| 国产男女超爽视频在线观看| 侵犯人妻中文字幕一二三四区| 国产精品美女特级片免费视频播放器 | 最新美女视频免费是黄的| 人人妻人人澡人人爽人人夜夜| 欧美日韩av久久| 在线观看日韩欧美| av天堂在线播放| 欧美日韩亚洲国产一区二区在线观看 | 欧美亚洲 丝袜 人妻 在线| 老熟女久久久| 久久久久精品国产欧美久久久| 女性生殖器流出的白浆| 亚洲午夜精品一区,二区,三区| 亚洲熟女精品中文字幕| 亚洲第一av免费看| 怎么达到女性高潮| 久久精品国产亚洲av高清一级| 国产无遮挡羞羞视频在线观看| 亚洲一区高清亚洲精品| 99热只有精品国产| 欧美人与性动交α欧美软件| 青草久久国产| 色在线成人网| 国产成人av激情在线播放| 中文字幕人妻丝袜制服| 欧美日韩黄片免| 精品久久蜜臀av无| 老汉色av国产亚洲站长工具| 欧美激情久久久久久爽电影 | 亚洲精华国产精华精| 好男人电影高清在线观看| 国产精品久久电影中文字幕 | 黑人欧美特级aaaaaa片| 欧美日韩乱码在线| 亚洲精品中文字幕在线视频| 精品午夜福利视频在线观看一区| 日韩三级视频一区二区三区| 国产乱人伦免费视频| 国产成人av教育| 少妇被粗大的猛进出69影院| 欧美日韩国产mv在线观看视频| 日韩大码丰满熟妇| 日本五十路高清| 国产aⅴ精品一区二区三区波| 美女高潮到喷水免费观看| 97人妻天天添夜夜摸| 国产欧美日韩综合在线一区二区| 人妻 亚洲 视频| 少妇猛男粗大的猛烈进出视频| 中亚洲国语对白在线视频| 人人妻,人人澡人人爽秒播| 国产男女内射视频| 亚洲精品粉嫩美女一区| 国产精品一区二区精品视频观看| 精品久久久久久电影网| 1024香蕉在线观看| 又黄又粗又硬又大视频| 欧美人与性动交α欧美精品济南到| 国产真人三级小视频在线观看| 国精品久久久久久国模美| 久久亚洲真实| 99国产极品粉嫩在线观看| 成人18禁高潮啪啪吃奶动态图| 午夜亚洲福利在线播放| 成人av一区二区三区在线看| www.精华液| 黄色视频不卡| 97人妻天天添夜夜摸| 日韩一卡2卡3卡4卡2021年| 99热只有精品国产| www日本在线高清视频| 国产精品美女特级片免费视频播放器 | 9热在线视频观看99| 无人区码免费观看不卡| 午夜免费观看网址| 超碰成人久久| 国产精品美女特级片免费视频播放器 | 老司机在亚洲福利影院| 老司机午夜十八禁免费视频| 18禁国产床啪视频网站| 免费在线观看视频国产中文字幕亚洲| 亚洲熟女精品中文字幕| 一区二区日韩欧美中文字幕| 黑人操中国人逼视频| 中文欧美无线码| av在线播放免费不卡| 色播在线永久视频| 两性夫妻黄色片| 一区福利在线观看| 咕卡用的链子| 久久久国产成人免费| 国产蜜桃级精品一区二区三区 | 这个男人来自地球电影免费观看| 精品久久久久久,| 黄片播放在线免费| 亚洲黑人精品在线| 99久久人妻综合| 亚洲欧美日韩高清在线视频| 电影成人av| 午夜福利视频在线观看免费| 欧美最黄视频在线播放免费 | 操出白浆在线播放| 欧美午夜高清在线| 欧美国产精品va在线观看不卡| 欧美日韩福利视频一区二区| 黄色女人牲交| av不卡在线播放| 99热国产这里只有精品6|