Reverse osmotic characteristics and mechanism of pillared graphene membranes for water desalination

Zhang Ze-Cheng; Liu Zhen; Wang Meng-Ni; Zhang Fu-Jian; Zhang Zhong-Qiang

doi:10.7498/aps.70.20201764

Abstract

Because of the high water flux and excellent ion rejection, the pores graphene is considered as a promising candidate material for fabricating the membranes in reverse osmosis (RO) process. Unfortunately, water molecules cannot pass through the perfect graphene, and how to effectively create a large number of nanopores with controllable size remains a challenge, which seriously prevents the practical application and development of graphene membrane for desalination. Recently, the emergence of pillared graphene (PGN) might open a new way for designing the graphene-based membranes, which can compensate for the deficiency of porous graphene membrane. The PGN has been extensively studied in gas storage and separation, and its RO characteristics and mechanism still remain unclear because the limitation of large area preparation in desalination. In this paper, the RO process of seawater through PGN membranes is investigated by molecular dynamics simulations, and the influences of the pressure within feed solution, temperature and the shearing of membrane on the desalination properties are considered. It is found that the water flux increases linearly with the pressure within feed solution increasing, and the PGN membrane with nanopore diameter of 0.8 nm can conduct water molecules but completely rejects high-concentration ions. As the diameter of nanopores increases to 1.2 nm, the rise of temperature can increase the permeability of water molecules, whereas the salt rejection is not appreciably sensitive to the temperature. Particularly, the shearing membrane can improve the salt rejection and hinder the water molecules from permeating at the same time. The designed PGN membrane exhibits excellent performance of water purification, and the ultrahigh water flux obtained in this work reaches 56.15 L·cm^–2·day^–1·MPa^–1 with a salt rejection of 88.9%. Subsequently, the hydrogen bond dynamics is calculated in order to explain the variation of water permeability under different conditions. The result shows that the rise of temperature reduces the stability of hydrogen bonds and leads the water flux to increase, while the increase of shearing speed will enhance the stability of hydrogen bonds and inhibit water seepage. Furthermore, the analysis results of hydrogen bond and ionic hydration structure show that the shear motion on RO membrane will improve the stability of ionic hydration shell, which makes it more difficult for the ions to pass through nanopores by weakening the hydration shell. On the contrary, rising temperature will impair the strength of ionic hydration shell, leading more ions to pass through the RO membrane. The simulation results can provide an in-depth understanding of the desalination performance of PGN membrane under different key conditions, and further demonstrate the promising applications of graphene-based membrane in water desalination.

Keywords:

Authors and contacts

1.
Institute of Intelligent Flexible Mechatronics, Jiangsu University, Zhenjiang 212013, China
2.
School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China
3.
Jiangsu Collaborative Innovation Center of Photovoltaic Science and Engineering, Changzhou University, Changzhou 213164, China

Corresponding author: Zhang Zhong-Qiang, zhangzq@ujs.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11872192)

FullText HTML : translate this paragraph

References

[1]	Elimelech M, Phillip W A 2011 Science 333 712 Google Scholar
[2]	Park H B, Kamcev J, Robeson L M, Elimelech M, Freeman B D 2017 Science 356 1137 Google Scholar
[3]	Lee K P, Arnot T C, Mattia D 2011 J. Membrane Sci. 370 1 Google Scholar
[4]	Sint K, Wang B Y, Kral P 2008 J. Am. Chem. Soc. 130 16448 Google Scholar
[5]	Cohen-Tanugi D, Grossman J C 2012 Nano Lett. 12 3602 Google Scholar
[6]	Cohen-Tanugi D, Lin L C, Grossman J C 2016 Nano Lett. 16 1027 Google Scholar
[7]	Cohen-Tanugi D, Grossman J C 2014 J. Chem. Phys. 141 074704 Google Scholar
[8]	Zhang Z Q, Zhang F J, Liu Z, Cheng G G, Wang X D, Ding J N 2018 Nanomaterials (Basel) 8 805 Google Scholar
[9]	Ali M E A, Wang L Y, Wang X Y, Feng X S 2016 Desalination 386 67 Google Scholar
[10]	Hosseini M, Azamat J, Erfan-Niya H 2018 Appl. Surf. Sci. 427 1000 Google Scholar
[11]	Jafarzadeh R, Azamat J, Erfan-Niya H 2018 Struct. Chem. 29 1845 Google Scholar
[12]	Wang Y H, He Z J, Gupta K M, Shi Q, Lu R F 2017 Carbon 116 120 Google Scholar
[13]	Surwade S P, Smirnov S N, Vlassiouk I V, Unocic R R, Veith G M, Sheng Dai S, Mahurin S M 2015 Nat. Nanotechnol. 10 459 Google Scholar
[14]	Song L B, Guo Z G, Chai G B, Wang Z H, Li Y G, Luan Y B 2018 Carbon 140 210 Google Scholar
[15]	Sakhavand N, Shahsavari R 2017 ACS Appl. Mater. Interfaces 9 39122 Google Scholar
[16]	Wu C D, Fang T H, Lo J Y 2012 Int. J. Hydrogen Energy 37 14211 Google Scholar
[17]	Lü R, Cruz-Silva E, Terrones M 2014 ACS Nano 8 4061 Google Scholar
[18]	Wang Y C, Zhu Y B, Wang F C, Liu X Y, Wu H A 2017 Carbon 118 588 Google Scholar
[19]	Duan K, Li Y J, Li L, Hu Y J, Wang X L 2018 Mater. Des. 147 11 Google Scholar
[20]	Jiang H, Cheng X L 2018 J. Mol. Graphics Modell. 85 223 Google Scholar
[21]	Hassani A, Mosavian M T H, Ahmadpour A, Farhadian N 2017 J. Nat. Gas Sci. Eng. 46 265 Google Scholar
[22]	Zhou S N, Lu X Q, Wu Z H, Jin D L, Guo C, Wang M H, Wei S X 2016 Chem. Phys. Lett. 660 272 Google Scholar
[23]	Wesolowski R P, Terzyk A P 2011 Phys. Chem. Chem. Phys. 13 17027 Google Scholar
[24]	Tofighy M A, Shirazi Y, Mohammadi T, Pak A 2011 Chem. Eng. J. 168 1064 Google Scholar
[25]	Corry B 2008 J. Phys. Chem. B 112 1427 Google Scholar
[26]	张忠强, 李冲, 刘汉伦, 葛道晗, 程广贵, 丁建宁 2018 67 056102 Google Scholar Zhang Z Q, Li C, Liu H L, Ge D J, Cheng G G, Ding J N 2018 Acta Phys. Sin. 67 056102 Google Scholar
[27]	Plimpton S 1995 J. Comput. Phys. 117 1 Google Scholar
[28]	Hummer G, Rasaiah J C, Noworyta J P 2001 Nature 414 188 Google Scholar
[29]	Joung I S, Cheatham T E 2008 J. Phys. Chem. B 112 9020 Google Scholar
[30]	Stuart S J, Tutein A B, Harrison J A 2000 J. Chem. Phys. 112 6472 Google Scholar
[31]	Horn H W, Swope W C, Pitera J W, Madura J D, Dick T J, Hura G L, Head-Gordon T 2004 J. Chem. Phys. 120 9665 Google Scholar
[32]	Chen B, Ivanov I, Klein M L, Parrinello M 2003 Phys. Rev. Lett. 91 215503 Google Scholar
[33]	Todorova T, Seitsonen A P, Hutter J, Kuo I F, Mundy C J 2006 J. Phys. Chem. B 110 3685 Google Scholar
[34]	张忠强, 于凡顺, 刘珍, 张福建, 程广贵 2020 69 098201 Google Scholar Zhang Z Q, Yu F S, Liu Z, Zhang F J, Cheng G G 2020 Acta Phys. Sin. 69 098201 Google Scholar
[35]	Xu H, Berne B J 2001 J. Phys. Chem. B 105 11929 Google Scholar
[36]	Xie M, Gray S R 2016 Sep. Purif. Technol. 167 6 Google Scholar
[37]	Li T G, Tu Q S, Li S F 2019 Desalination 451 182 Google Scholar
[38]	Tu Q S, Li T G, Deng A, Zhu K, Liu Y F, Li S F 2018 Technology 6 36 Google Scholar
[39]	Zhang Z Q, Li S F, Mi B X, Wang J B, Ding J N 2020 Sci. Adv. 6 eaba9471 Google Scholar
[40]	Thomas M, Corry B, Hilder T A 2014 Small 10 1453 Google Scholar

Cited By

图 1 (a) 压力驱动作用下以柱状石墨烯为反渗透膜的反渗透分子动力学模型图(其中灰色球为反渗透膜中的碳原子, 中间的红色、白色、蓝色、黄色球分别代表盐水中的氧原子、氢原子、钠离子、氯离子, 左边棕色球是用来提供驱动压力的单层石墨烯, 右侧棕色球是单层石墨烯挡板); (b)两个1.2 nm 孔径的RO膜

Figure 1. (a) Molecular dynamics model for pressure-driven reverse osmosis by a pillared graphene. The dark gray particles are carbon atoms of grapheme. The red, white, blue, and yellow spheres represent the oxygen atoms, hydrogen atoms, sodium ions, and chloride ions in the brine, respectively. The monolayer graphene at the left side is used to provide driving pressure, while the one at the right side is rigid boundary to confine the solvent. (b) RO membrane with two pores (diameter of 1.2 nm).

DownLoad: Full-Size Img PowerPoint

图 2 不同孔径的柱状石墨烯膜水通量与施加压强的关系

Figure 2. Relationship between water flux and applied pressure for a pillared graphene membrane with different pore sizes.

DownLoad: Full-Size Img PowerPoint

图 3 无剪切作用时, 孔径为1.2 nm的柱状石墨烯膜在不同压强和温度下的盐离子截留率与水分子渗透率　(a) 温度为298 K时, 不同压强下的盐离子截留率和水分子渗透率; (b) 压强为200 MPa时, 不同温度下的盐离子截留率和水分子渗透率

Figure 3. Without shearing, salt rejection verses water molecules permeability for the pillared graphene with pore diameter of 1.2 nm under different pressure and temperature: (a) Salt rejection and water permeation rate for the RO membrane under different pressure with the temperature of 298 K; (b) salt rejection and water permeation rate for the RO membrane under different temperature with the pressure of 200 MPa.

DownLoad: Full-Size Img PowerPoint

图 4 压强为200 MPa和温度为298 K时, 不同剪切速度下孔径为1.2 nm的柱状石墨烯膜透反渗透特性　(a) 透过柱状石墨烯膜的水分子数随时间的变化; (b) 柱状石墨烯膜在不同剪切速度下的盐离子截留率

Figure 4. With the pressure of 200 MPa and the temperature of 298 K, reverse osmosis properties of the pillared graphene with pore diameter of 1.2 nm under different shearing speed: (a) The number of water molecules passing through the pillared graphene membrane over time; (b) salt rejection of the pillared graphene membrane under different shearing speed.

DownLoad: Full-Size Img PowerPoint

图 5 在压强为200 MPa时, 不同剪切速度和温度下进给区每个水分子的平均氢键数和端口区每个水分子的平均氢键数　(a) 在不同剪切速度下(温度为298 K); (b) 在不同温度下(剪切速度为0)

Figure 5. With the pressure of 200 MPa, the average number of hydrogen bonds (HB) per water molecule in the feed and port region under different shearing speed and temperature: (a) Under different shearing speed (with the temperature of 298 K); (b) under different temperature (without shearing).

DownLoad: Full-Size Img PowerPoint

图 6 在压强为200 MPa时, 不同剪切速度和温度下氢键自相关函数C(t)　(a) 在不同剪切速度下(温度为298 K); (b) 在不同温度下(剪切速度为0)

Figure 6. With the pressure of 200 MPa, the hydrogen bond autocorrelation function C(t) under different shearing speed and temperature: (a) Under different shearing speed (with the temperature of 298 K); (b) under different temperature (without shearing).

DownLoad: Full-Size Img PowerPoint

图 7 柱状石墨烯纳米孔内水分子和离子的x-y平面数量密度分布　(a) 水分子在纳米孔内; (b) 离子在纳米孔内

Figure 7. x-y planar number density distribution of water molecules and ions in pillared graphene nanopores: (a) Water molecules in the nanopores; (b) ions in the nanopores.

DownLoad: Full-Size Img PowerPoint

图 8 水合壳模型图 (粉色的球代表第一水合壳中的氧原子, 红色的球代表第二水合层中的氧原子, 白色和紫色的球分别代表氢原子和钠离子)　(a) 在进给区中; (b) 在柱状石墨烯纳米通道内

Figure 8. Models of hydration shell: (a) In the feed region; (b) in pillared graphene nanochannels. The pink spheres represent the oxygen atoms in the first hydration shell. The red spheres represent the oxygen atoms in the second hydration shell. The white and purple spheres represent the hydrogen atoms andsodium ions, respectively.

DownLoad: Full-Size Img PowerPoint

图 9 在不同条件下Na⁺第一与第二水合壳中水分子数分布　(a) 在不同剪切速度下Na⁺第一水合壳中水分子数分布; (b) 在不同温度下Na⁺第一水合壳中水分子数分布; (c) 在不同剪切速度下Na⁺第二水合壳中水分子数分布; (d) 在不同温度下Na⁺第二水合壳中水分子数分布

Figure 9. Hydration number distribution of Na⁺ in the first and second hydration shell under different conditions: (a) Hydration number distribution of Na⁺ in the first hydration shell at different shearing speed; (b) hydration number distribution of Na⁺ in the first hydration shell at different temperature; (c) hydration number distribution of Na⁺ in the second hydration shell at different shearing speed; (d) hydration number distribution of Na⁺ in the second hydration shell at different temperature.

DownLoad: Full-Size Img PowerPoint

图 10 在不同条件下Na⁺第一与第二水合壳中每个水分子平均氢键数　(a) 在不同剪切速度下; (b) 在不同温度下

Figure 10. Average number of hydrogen bonds (HB) per water molecule in Na⁺ first and second hydration shell under different conditions: (a) Under different shearing speed; (b) under different temperature.

DownLoad: Full-Size Img PowerPoint

表 1 LJ势能参数

Table 1. LJ potential parameters.

Elements C (sp²) O_w H_w Na⁺ Cl^–

ε/(kcal·mol^–1) 0.0859 0.16275 0 0.1684 0.0117
σ/Å 3.3997 3.16435 0 2.2589 5.1645
q/e 0 –1.0484 0.5242 1 –1

DownLoad: CSV

map

[1]	Elimelech M, Phillip W A 2011 Science 333 712 Google Scholar
[2]	Park H B, Kamcev J, Robeson L M, Elimelech M, Freeman B D 2017 Science 356 1137 Google Scholar
[3]	Lee K P, Arnot T C, Mattia D 2011 J. Membrane Sci. 370 1 Google Scholar
[4]	Sint K, Wang B Y, Kral P 2008 J. Am. Chem. Soc. 130 16448 Google Scholar
[5]	Cohen-Tanugi D, Grossman J C 2012 Nano Lett. 12 3602 Google Scholar
[6]	Cohen-Tanugi D, Lin L C, Grossman J C 2016 Nano Lett. 16 1027 Google Scholar
[7]	Cohen-Tanugi D, Grossman J C 2014 J. Chem. Phys. 141 074704 Google Scholar
[8]	Zhang Z Q, Zhang F J, Liu Z, Cheng G G, Wang X D, Ding J N 2018 Nanomaterials (Basel) 8 805 Google Scholar
[9]	Ali M E A, Wang L Y, Wang X Y, Feng X S 2016 Desalination 386 67 Google Scholar
[10]	Hosseini M, Azamat J, Erfan-Niya H 2018 Appl. Surf. Sci. 427 1000 Google Scholar
[11]	Jafarzadeh R, Azamat J, Erfan-Niya H 2018 Struct. Chem. 29 1845 Google Scholar
[12]	Wang Y H, He Z J, Gupta K M, Shi Q, Lu R F 2017 Carbon 116 120 Google Scholar
[13]	Surwade S P, Smirnov S N, Vlassiouk I V, Unocic R R, Veith G M, Sheng Dai S, Mahurin S M 2015 Nat. Nanotechnol. 10 459 Google Scholar
[14]	Song L B, Guo Z G, Chai G B, Wang Z H, Li Y G, Luan Y B 2018 Carbon 140 210 Google Scholar
[15]	Sakhavand N, Shahsavari R 2017 ACS Appl. Mater. Interfaces 9 39122 Google Scholar
[16]	Wu C D, Fang T H, Lo J Y 2012 Int. J. Hydrogen Energy 37 14211 Google Scholar
[17]	Lü R, Cruz-Silva E, Terrones M 2014 ACS Nano 8 4061 Google Scholar
[18]	Wang Y C, Zhu Y B, Wang F C, Liu X Y, Wu H A 2017 Carbon 118 588 Google Scholar
[19]	Duan K, Li Y J, Li L, Hu Y J, Wang X L 2018 Mater. Des. 147 11 Google Scholar
[20]	Jiang H, Cheng X L 2018 J. Mol. Graphics Modell. 85 223 Google Scholar
[21]	Hassani A, Mosavian M T H, Ahmadpour A, Farhadian N 2017 J. Nat. Gas Sci. Eng. 46 265 Google Scholar
[22]	Zhou S N, Lu X Q, Wu Z H, Jin D L, Guo C, Wang M H, Wei S X 2016 Chem. Phys. Lett. 660 272 Google Scholar
[23]	Wesolowski R P, Terzyk A P 2011 Phys. Chem. Chem. Phys. 13 17027 Google Scholar
[24]	Tofighy M A, Shirazi Y, Mohammadi T, Pak A 2011 Chem. Eng. J. 168 1064 Google Scholar
[25]	Corry B 2008 J. Phys. Chem. B 112 1427 Google Scholar
[26]	张忠强, 李冲, 刘汉伦, 葛道晗, 程广贵, 丁建宁 2018 67 056102 Google Scholar Zhang Z Q, Li C, Liu H L, Ge D J, Cheng G G, Ding J N 2018 Acta Phys. Sin. 67 056102 Google Scholar
[27]	Plimpton S 1995 J. Comput. Phys. 117 1 Google Scholar
[28]	Hummer G, Rasaiah J C, Noworyta J P 2001 Nature 414 188 Google Scholar
[29]	Joung I S, Cheatham T E 2008 J. Phys. Chem. B 112 9020 Google Scholar
[30]	Stuart S J, Tutein A B, Harrison J A 2000 J. Chem. Phys. 112 6472 Google Scholar
[31]	Horn H W, Swope W C, Pitera J W, Madura J D, Dick T J, Hura G L, Head-Gordon T 2004 J. Chem. Phys. 120 9665 Google Scholar
[32]	Chen B, Ivanov I, Klein M L, Parrinello M 2003 Phys. Rev. Lett. 91 215503 Google Scholar
[33]	Todorova T, Seitsonen A P, Hutter J, Kuo I F, Mundy C J 2006 J. Phys. Chem. B 110 3685 Google Scholar
[34]	张忠强, 于凡顺, 刘珍, 张福建, 程广贵 2020 69 098201 Google Scholar Zhang Z Q, Yu F S, Liu Z, Zhang F J, Cheng G G 2020 Acta Phys. Sin. 69 098201 Google Scholar
[35]	Xu H, Berne B J 2001 J. Phys. Chem. B 105 11929 Google Scholar
[36]	Xie M, Gray S R 2016 Sep. Purif. Technol. 167 6 Google Scholar
[37]	Li T G, Tu Q S, Li S F 2019 Desalination 451 182 Google Scholar
[38]	Tu Q S, Li T G, Deng A, Zhu K, Liu Y F, Li S F 2018 Technology 6 36 Google Scholar
[39]	Zhang Z Q, Li S F, Mi B X, Wang J B, Ding J N 2020 Sci. Adv. 6 eaba9471 Google Scholar
[40]	Thomas M, Corry B, Hilder T A 2014 Small 10 1453 Google Scholar

[1]	Chen Jing-Jing, Zhao Hong-Po, Wang Kui, Zhan Hui-Min, Luo Ze-Yu. Molecular dynamics simulation of mechanical strengthening properties of SiC substrate covered with multilayer graphene. Acta Physica Sinica, 2024, 73(10): 109601. doi: 10.7498/aps.73.20232031
[2]	Ding Ye-Zhang, Ye Yin, Li Duo-Sheng, Xu Feng, Lang Wen-Chang, Liu Jun-Hong, Wen Xin. Molecular dynamics simulation of graphene deposition and growth on WC-Co cemented carbides. Acta Physica Sinica, 2023, 72(6): 068703. doi: 10.7498/aps.72.20221332
[3]	Wang Meng-Ni, Liu Zhen, Gu Hao, Zhang Fu-Jian, Zhang Zhong-Qiang, Ding Jian-Ning. Temporal reverse osmotic salt filtration mechanism of multi-layered porous graphene. Acta Physica Sinica, 2022, 71(13): 138201. doi: 10.7498/aps.71.20212283
[4]	Qin Xiao-Ling, Zhu Xu-Liang, Cao Jing-Wen, Wang Hao-Cheng, Zhang Peng. Investigation of hydrogen bond vibrations of ice. Acta Physica Sinica, 2021, 70(14): 146301. doi: 10.7498/aps.70.20210013
[5]	Duan Tong-Chuan, Yan Shao-Jian, Zhao Yan, Sun Ting-Yu, Li Yang-Mei, Zhu Zhi. Relationship between hydrogen bond network dynamics of water and its terahertz spectrum. Acta Physica Sinica, 2021, 70(24): 248702. doi: 10.7498/aps.70.20211731
[6]	Yang Gang, Zheng Ting, Cheng Qi-Hao, Zhang Hui-Chen. Molecular dynamics simulation on shear thinning characteristics of non-Newtonian fluids. Acta Physica Sinica, 2021, 70(12): 124701. doi: 10.7498/aps.70.20202116
[7]	Zhu Zhi, Yan Shao-Jian, Duan Tong-Chuan, Zhao Yan, Sun Ting-Yu, Li Yang-Mei. THz electromagnetic wave regulated dissolution of methane hydrate. Acta Physica Sinica, 2021, 70(24): 248705. doi: 10.7498/aps.70.20211779
[8]	Bai Qing-Shun, Dou Yu-Hao, He Xin, Zhang Ai-Min, Guo Yong-Bo. Deposition and growth mechanism of graphene on copper crystal surface based on molecular dynamics simulation. Acta Physica Sinica, 2020, 69(22): 226102. doi: 10.7498/aps.69.20200781
[9]	Zhang Zhong-Qiang, Yu Fan-Shun, Liu Zhen, Zhang Fu-Jian, Cheng Guang-Gui. Reverse osmotic characteristics and mechanism of hydrogenated porous graphene. Acta Physica Sinica, 2020, 69(9): 098201. doi: 10.7498/aps.69.20191761
[10]	Zhang Zhong-Qiang, Li Chong, Liu Han-Lun, Ge Dao-Han, Cheng Guang-Gui, Ding Jian-Ning. Molecular dynamics study on permeability of water in graphene-carbon nanotube hybrid structure. Acta Physica Sinica, 2018, 67(5): 056102. doi: 10.7498/aps.67.20172424
[11]	Lan Sheng, Li Kun, Gao Xin-Yun. Based on the molecular dynamics characteristic research of heat conduction of graphyne nanoribbons with vacancy defects. Acta Physica Sinica, 2017, 66(13): 136801. doi: 10.7498/aps.66.136801
[12]	Li Rui, Mi Jun-Xia. Influence of hydroxyls at interfaces on motion and friction of carbon nanotube by molecular dynamics simulation. Acta Physica Sinica, 2017, 66(4): 046101. doi: 10.7498/aps.66.046101
[13]	Wang Sheng-Han, Li Zhan-Long, Sun Cheng-Lin, Li Zuo-Wei, Men Zhi-Wei. Influence of laser-induced plasma on stimulated Raman scatting of OH stretching vibrational from water molecules. Acta Physica Sinica, 2014, 63(20): 205204. doi: 10.7498/aps.63.205204
[14]	Yang Cheng-Bing, Xie Hui, Liu Chao. Molecular dynamics simulation of average velocity of lithium iron across the end of carbon nanotube. Acta Physica Sinica, 2014, 63(20): 200508. doi: 10.7498/aps.63.200508
[15]	Hui Zhi-Xin, He Peng-Fei, Dai Ying, Wu Ai-Hui. Molecular dynamics simulation of the thermal conductivity of silicon functionalized graphene. Acta Physica Sinica, 2014, 63(7): 074401. doi: 10.7498/aps.63.074401
[16]	Chang Xu. Ripples of multilayer graphenes：a molecular dynamics study. Acta Physica Sinica, 2014, 63(8): 086102. doi: 10.7498/aps.63.086102
[17]	Wang Jian-Wei, Song Yi-Xu, Ren Tian-Ling, Li Jin-Chun, Chu Guo-Liang. Molecular dynamics simulation of Lag effect in fluorine plasma etching Si. Acta Physica Sinica, 2013, 62(24): 245202. doi: 10.7498/aps.62.245202
[18]	Gu Fang, Zhang Jia-Hong, Yang Li-Juan, Gu Bin. Molecular dynamics simulation of resonance properties of strain graphene nanoribbons. Acta Physica Sinica, 2011, 60(5): 056103. doi: 10.7498/aps.60.056103
[19]	Chen Ming, Min Rui, Zhou Jun-Ming, Hu Hao, Lin Bo, Miao Ling, Jiang Jian-Jun. Molecular dynamic simulation of water molecules in carbon nanocapsule. Acta Physica Sinica, 2010, 59(7): 5148-5153. doi: 10.7498/aps.59.5148
[20]	Zhang Zhao-Hui, Han Kui, Li Hai-Peng, Tang Gang, Wu Yu-Xi, Wang Hong-Tao, Bai Lei. Study of friction between hydrocarboxylic acid Langmuir-Blodgett films and its mechanism using molecular dynamics simulation. Acta Physica Sinica, 2008, 57(5): 3160-3165. doi: 10.7498/aps.57.3160

Catalog

Vol. 70, Issue 9 - 2021-05-05

Metrics

Abstract views: 5690
PDF Downloads: 79
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板