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ISSN 1000-6818CN 11-1892/O6CODEN WHXUEU
Acta Phys Chim Sin >> 2015,Vol.31>> Issue(8)>> 1499-1503     doi: 10.3866/PKU.WHXB201506191         中文摘要
THEORETICAL AND COMPUTATIONAL CHEMISTRY
Surface Absorption of a Solution at Equilibrium
CHEN Fei-Wu, LU Tian, WU Zhao
Department of Chemistry and Chemical Engineering, School of Chemistry and Biological Engineering, University of Science and Technology Beijing, Beijing 100083, P. R. China; Beijing Key Laboratory for Science and Application of Functional Molecular and Crystalline Materials, Beijing 100083, P. R. China
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Surface adsorption of a solution is still a challenging problem in the thermodynamics of surfaces. In this work, a new thermodynamic state function is defined. The equilibrium condition of surface adsorption is that the differential of this state function is equal to zero. Based on this condition, we derived a new equation to describe surface adsorption at equilibrium. No hypothetical dividing surface is needed in this derivation. The new equation is quite different from the Gibbs adsorption equation. We also performed molecular dynamic simulations of aqueous sodium chloride solutions. The simulated results are in good agreement with our theoretical predictions.



Keywords: Surface absorption   Equilibrium condition   Gibbs absorption equation   Thermodynamic state function   Solution  
Received: 2015-03-04 Accepted: 2015-06-19 Publication Date (Web): 2015-06-19
Corresponding Authors: CHEN Fei-Wu Email: chenfeiwu@ustb.edu.cn

Fund: The project was supported by the National Natural Science Foundation of China (21173020, 21473008).

Cite this article: CHEN Fei-Wu, LU Tian, WU Zhao. Surface Absorption of a Solution at Equilibrium[J]. Acta Phys. -Chim. Sin., 2015,31 (8): 1499-1503.    doi: 10.3866/PKU.WHXB201506191

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81. Zhou Jian-Guo;Yan Chang-Ling;Lu Yan;Gao Shi-Yang;Xia Shu-Ping.Phase Transformation of Supersaturated Solution of MgO•3B2O3-H2O under Hydrothermal Condition[J]. Acta Phys. -Chim. Sin., 2004,20(03): 306-308
82. Lin Mei-Qin;Sun Ai-Jun;Dong Zhao-Xia;Tang Ya-Lin;Li Ming-Yuan;Wu Zhao-Liang.Study on Properties of the Linked Polymer Solution with Low Polymer Concentration[J]. Acta Phys. -Chim. Sin., 2004,20(03): 285-289
83. Zhou Jian-Fang;Zhang Li-Ming;Peter S. Hui.Rheological Characteristics of Aqueous Solutions of an Amphoteric Guar Gum Derivative[J]. Acta Phys. -Chim. Sin., 2003,19(11): 1081-1084
84. Shao Hai-Bo;Zhang Jian-Qing;Wang Jian-Ming;Cao Chu-Nan.EIS Analysis on the Anodic Dissolution Process of Pure Aluminum in an Alkaline Solution[J]. Acta Phys. -Chim. Sin., 2003,19(04): 372-375
85. Mi Chang-Huan;Xia Xi;Zhang Xiao-Gang.Redox Behaviours of Mn(Ⅱ)/Mn(Ⅲ) in Sulphuric Acid[J]. Acta Phys. -Chim. Sin., 2002,18(11): 1038-1042
86. Yan Yun;Han Feng;Huang Jian-Bin;Li Zi-Chen;Ma Ji-Ming.The Study of Bolaamphiphile/SDS Mixed Systems by Applying the Regular Solution Theory[J]. Acta Phys. -Chim. Sin., 2002,18(09): 830-834
87. Li Shu-Qin;Lin Rui-Sen.The Dilution Enthalpies of Serine in Aqueous Sucrose Solutions at 298.15 K[J]. Acta Phys. -Chim. Sin., 2002,18(09): 825-829
88. Bian Feng-Ling;Liu Ming-Zhu.The Temperature Dependence of the Viscosity of Poly (N,N-diethylacrylamide) Solutions[J]. Acta Phys. -Chim. Sin., 2002,18(09): 776-780
89. Zhou Jian;Zhu Yu;Wang Wen-Chuan;Lu Xiao-Hua;Wang Yan-Ru;Shi Jun.Molecular Dynamics Study of Supercritical Aqueous Sodium Chloride Solutions[J]. Acta Phys. -Chim. Sin., 2002,18(03): 207-212
90. Ma Yu-Tao;Xia Shu-Ping;Gao Shi-Yang.Crystallization Kinetics of Mg-borates from MgO•3B2O3-18%MgSO4-H2O Supersaturated Solution[J]. Acta Phys. -Chim. Sin., 2001,17(11): 1021-1026
91. Shi Huai-Bin;Shao Chun-Lin;Yu Zeng-Liang.Mechanism of the Reaction between Low Energy N and CH3COCH3 with D2O as Solvent[J]. Acta Phys. -Chim. Sin., 2001,17(11): 986-990
92. Li Yong-Hui;Huang Jian-Bin;Wang Chuan-Zhong;Mao Min.The Surface Chemical Properties of Hydrolytic Surfactants[J]. Acta Phys. -Chim. Sin., 2001,17(11): 972-977
93. Chen Yong-Chun;Yi Chang-Feng;Xu Zu-Shun;Cheng Shi-Yuan.Solution Property of Amphiphilic Graft Copolymer PSt-g-PEO[J]. Acta Phys. -Chim. Sin., 2001,17(05): 471-476
94. Chen Jian-Gang;Xiang Hong-Wei;Dong Qing-Nian;Wang Xiu-Zhi;Sun Yu-Han.H2 or CO Chemsorption on Co-based Catalysts for F-T Synthesis[J]. Acta Phys. -Chim. Sin., 2001,17(02): 161-164
95. Li Ming, Yang Hua-Quan.Lithiation Behavior of α-Fe2O3 in LiOH Electrolyte Solution[J]. Acta Phys. -Chim. Sin., 2000,16(08): 735-740
96. Zhao Zhen-Bo, Sun Wen-Dong, Yang Xiang-Guang, Ye Xing-Kai, Wu Yue.Active Components and Mechanism of Isobutane Alkylation with Butenes in the Catalytic System of HPAs+AcOH[J]. Acta Phys. -Chim. Sin., 2000,16(07): 613-620
97. Shi Lei, Zhang Xiao-Gang, Zhang Xi-Feng, Yang Guan-Ying, Han Bu-Xing, Yan Hai-Ke.Study of Molecular lnteraction in Mixed Supercritical Fluids by Molecular Simulation and Partial Molar Volume Measurement[J]. Acta Phys. -Chim. Sin., 2000,16(01): 31-35
98. Yan Zhen-Ning, Cheng Qing-Tang, Wang Jian-Ji, Liu Da-Zhuang.The Volumetric Properties of Some α-Amino Acids in Aqueous Sodium Butyrate Solutions at 308.15K[J]. Acta Phys. -Chim. Sin., 1999,15(07): 662-667
99. Han Guo-Bin, Wu Jin-Tian, Vignes-Adler M.Dynamic Surface Propertes of Foaming Agent C12E8[J]. Acta Phys. -Chim. Sin., 1999,15(04): 327-332
100. He Xu, Zhu Bu-Yao, Zhao Guo-Xi.Influence of pH on the Properties of the Vesicles and Foams in the Aqueous Dispersion of 2RNC2[J]. Acta Phys. -Chim. Sin., 1998,14(10): 932-935
101. Wang Qing-Guo, Cai Li-Xing, Liu Bo, Li Guang-Ya, Hu Ping, Zhang Yu, Cheng Rong-Shi.Eluent Gel Permeation Chromatography Method for Study of Non-associated Multi-components Solution[J]. Acta Phys. -Chim. Sin., 1998,14(03): 267-269
102. He Shao-Guang, Zhao Guo-Xi.Surface Adsorption and Micelle Formation of the Aqueous Mixture of C7FNa-Et4NBr[J]. Acta Phys. -Chim. Sin., 1998,14(03): 261-266
103. Xu Gang, Cao Chu-Nan, Lin Hai-Chao, Zhang Jian-Qing.Influences of In3+ and Ga3+ on the Electrochemical Behaviour of Al in KOH Solution[J]. Acta Phys. -Chim. Sin., 1998,14(01): 27-32
104. Zhao Guo-Xi,Yang Zhen-Le,Zhu Bu-Yao.Study on Surface Chemical Properties of Mixed Systems of Derivatives of 10-undecenoic Acid[J]. Acta Phys. -Chim. Sin., 1997,13(09): 773-779
105. Liu Wen-Bin,Li Yi-Gui,Lu Jiu-Fang;Li Chun-Xi.Eqution of State for Predicting Densities of Aqueous Electrolytes at High Pressure and Temperature by Perturbation Theory[J]. Acta Phys. -Chim. Sin., 1997,13(08): 736-740
106. Lu Jian-Li,Jiang Wen-Hua,Han Shi-Jun.Prediction of Compatibility for Polyethylene Glycol/Chitosan by Method of Viscometry[J]. Acta Phys. -Chim. Sin., 1997,13(04): 376-379
107. Li Wei-Shan,Jiang Lin-Cai,Huang Zhong-Tao.Anodic Oxidation of Mn2+ Ion in H2SO4 Solutions Catalyzed by Ag+ Ion[J]. Acta Phys. -Chim. Sin., 1996,12(12): 1119-1123
108. Zheng Wen-Xia,Wang Ze-Xin.Effect of the Ni(115) Step Surface for the Chemical Kinetics of Hydrogen Atom and Molecule on the Surface[J]. Acta Phys. -Chim. Sin., 1996,12(10): 910-915
109. Zhang Ji-Shu,Zhang Wen-Xia,Wang Ze-Xin.Adsorption and Diffusion of Hydrogen Atom on Pd Loe Index Surfaces[J]. Acta Phys. -Chim. Sin., 1996,12(09): 773-779
110. Yang Hua-Quan,Sun Bao-Yun,Wang Gang-Qun,Li Neng,Zhang Wan-Jing,Lin Bing-Xiong.Study on the Structure and Electrochemical Performances of LiCoO2 Dopped with Ni2+[J]. Acta Phys. -Chim. Sin., 1996,12(08): 716-720
111. Zhang Han-Chang,Zuo Xiao-Bing,Ji Ming-Rong,Wu Shou-Guo.Properties of Anodically Oxidative Glass Carbon Electrodes(GCE) in Strong Alkaline solutions[J]. Acta Phys. -Chim. Sin., 1996,12(07): 649-653
112. Gao Zuo-Ning,Wen Xiao-Lin,Shen Wei-Guo,Fang Jian.Determination of the Osmotic Coefficients of the Aqueous Solution of Polyhydroxylated Compound at 313,323and 333K[J]. Acta Phys. -Chim. Sin., 1996,12(03): 284-288
113. Huang Wen,Gu Ti-Ren.Solubilization of Aqueous Solution of Electrolytes by Dodecylammonium Propionate in Carbon Tetrachloride[J]. Acta Phys. -Chim. Sin., 1996,12(01): 49-53
114. Li Wu,Gao Shi-Yang,Zeng Zhong-Min,Xia Shu-Ping.Study on the Reaction Thermochemistry of Simulated Synthesized Brine during Hydrochloric Acid Titration[J]. Acta Phys. -Chim. Sin., 1995,11(12): 1101-1104
115. Lv Xin,Xu Xin,Wang Nan-Qin,Zhang Qian-Er.DV-Xa Embedded Cluster Studies:Chemisorption of NO on NiO(100) Surface[J]. Acta Phys. -Chim. Sin., 1995,11(09): 796-800
116. Gu Jian-De,Tian An-Min,Yan Guo-Sen.Molecular Dynamics Simulations for the Spectra of N2 and O2 Aqueous Solutions[J]. Acta Phys. -Chim. Sin., 1995,11(08): 719-723
117. Xiong Xing-Min,Yang Ju-Hua,Ye Mei-Ling,Zhang Ying-Jiu,Shi Liang-He.Study of Temperature Effect of Micellar Solutions of PSDMS Block Copolymer in n-Heptane by Positron Annihilation[J]. Acta Phys. -Chim. Sin., 1995,11(06): 541-546
118. Yan Wei-Dong,Xu Yi-Jin,Han Shi-Jun.A New Method of Pseudo-Static Ebulliometer for Determination of Osmotic Coefficients of Nonaqueous Electrolyte Solution[J]. Acta Phys. -Chim. Sin., 1995,11(05): 454-459
119. Zeng Zhao-Nian, Feng Ke, Li Zhuo-Mei.Viscosity Equation for Ionomer Solution[J]. Acta Phys. -Chim. Sin., 1995,11(04): 289-291
120. Su Wen-Duan.Properties of Solvent Molecules and the Characteristic Variations of Inner Layer Differential Capacity[J]. Acta Phys. -Chim. Sin., 1994,10(12): 1066-1070
121. Huang Shi-Ping, Ma Yan-Hui, Tang Bo, Xu Hua, Chen Nian-Yi.Molecular Dynamics Study of NaCl-NaBr Melt[J]. Acta Phys. -Chim. Sin., 1994,10(11): 1045-1048
122. Cheng Zhao-Nian, Jia Zheng-Ming, Xu Li, Chen Nian-Yi.Molecular Dynamics Simulations of Molten Salt Solutions NaCaF3, Na2CaF4 and Na3CaF5[J]. Acta Phys. -Chim. Sin., 1994,10(08): 676-679
123. Zhai Run-Sheng, Cai Mao-Sheng, D.M.Kolb.XPS Evidence of Sulfate Anion Adsorption on Emersed Pt(111) in H2SO4 Solution[J]. Acta Phys. -Chim. Sin., 1994,10(08): 741-743
124. Li Zhuo-Mei, Feng Ke, Zeng Zhao-Hua.[J]. Acta Phys. -Chim. Sin., 1994,10(07): 666-672
125. Feng Yi-Qi, Zhou Guo-Ding.Study on Diffusion Mechanism for Copper in Low-conductivity Solution[J]. Acta Phys. -Chim. Sin., 1994,10(05): 472-475
126. Liu Yu, Lu Tong-Bu, Tan Min-Yu, Inoue Yoshihisa, Hakushi Tadao.Complexation Thermodynamics of Rare Earch(III) Nitrates with Stibeno-15-Crown-5 in Anhydrous Acetonitrile[J]. Acta Phys. -Chim. Sin., 1994,10(04): 336-341
127. Su Wen-Duan; Ye Hui.The Statistical Mechanics Treatment for the Inner-layer Entropy of Formation of Electrode/Solution Interface[J]. Acta Phys. -Chim. Sin., 1993,9(03): 351-356
128. Zhou Wei-Ping; He Zhi-Duan; Zhang Hao; Zhang Hai-Bo.The Viscosity Behaviour of SEP Block Copolymer Solution During its Micellization[J]. Acta Phys. -Chim. Sin., 1993,9(02): 224-228
129. Liu Hong-Lin; Cao Yi-Lin; Chen Nian-Yi.The Absorption Peaks of Sodium Aluminate Solutions[J]. Acta Phys. -Chim. Sin., 1992,8(04): 441-444
130. Zheng Chang-Ren; Zhu Zhi-Min; Gu Yun-Le; Hu Lei; Fu Ting-Zhi; Ou Hui-Chun.Studies on the Dilute Solution Behavior of Polysaccharide of Pleuratu Ostretus[J]. Acta Phys. -Chim. Sin., 1992,8(04): 493-499
131. Tan Qi-Xian; Liu Shu-Lan; Cheng Dan-Hong; Guo He-Tong.The Mechanism of Chromium Electrodeposition From Chromic Acid Solution[J]. Acta Phys. -Chim. Sin., 1992,8(04): 571-574
132. Feng Ke; Zeng Zhao-Hua; Li Zhuo-Mei.Study on Sulfonated EPDM Ionomers Containing Various Ions[J]. Acta Phys. -Chim. Sin., 1992,8(03): 370-375
133. Zhou Guo-Ding; Zhang Guo-Qing; Tong Ru-Ting; Jin Shi-Xun; Cai Sheng-Min.Study of Passivation and Pitting Corrosion for Ni Electrode in Borax-Borate Solution[J]. Acta Phys. -Chim. Sin., 1992,8(03): 418-423
134. Ren Ji-Min; Niu Chun-Ji; Pei Feng-Kui; Wang Wen-Yun; Ni Jia-Zuan.13C and 1H NMR Studies of Solution Structure of Lanthanide Complex with Glycyl-Glycine[J]. Acta Phys. -Chim. Sin., 1992,8(02): 270-273
135. Su Wen-Duan; Zhou Shao-Min; Zhou Xiao-Lin.Statistical Mechanical Treatment of Adsorbed Monolayer at Electrode Solution Interface IV. The Inner Layer Differential Capacity of Silver Single Crystal Electrode in Aqueous Solution[J]. Acta Phys. -Chim. Sin., 1991,7(05): 549-552
136. Liu Hong-Qin; Wang Wen-Chuan; Lu Huan-Zhang.Vapor Liquid Equilibrium of Dilute Solutions by the Limiting Values From the Gas Chromatographic Measurements[J]. Acta Phys. -Chim. Sin., 1991,7(05): 558-565
137. Su Wen-Duan; Zhou Shao-Min; Zhou Xiao-Lin.Statistical Mechanical Treatment of Adsorbed Monolayer at Electrode/Solution Interface III. The Structure of Inner Layer Formed at the Interface of Hg/(H2O+CH3OH) Solution[J]. Acta Phys. -Chim. Sin., 1991,7(04): 443-448
138. Lv Dian-Zhen; Wang Qin-Ping; Wang Jie; Li Jin-Wen.Thermodynamics of Mixed Electroyte in Mixed Solutions of d-Glucose and Water II. System of HCl-NaCl-d-Glucose-H2O(from 5 to 45 ℃)[J]. Acta Phys. -Chim. Sin., 1991,7(04): 475-479
139. Bai Tong-Chun; Wang Jian-Ji; Liu Wen-Bin; Lu Jin-Suo.Study on the Salt Effect in Nonaqueous Solutions by Gas Liquid Chromatography——For Nonelectrolyte Solute (Hydrocarbons,Aromatic Hydrocarbons,Chloro-Hydrocarbons,Ketones) in Salt (Nal, NaSCN, KSCN) and Propy-Lene Carbonate Solutions[J]. Acta Phys. -Chim. Sin., 1991,7(04): 480-484
140. Yang Ke-Xuan; Mao Run-Sheng; Qi Qing-Hui; Huang Ji-Cai; Wu Feng-Lian.Study on the Properties of Cellulose Acetate Solution for the Casting of Reverse Osmosis Membrane[J]. Acta Phys. -Chim. Sin., 1991,7(04): 495-498
141. Bai Tong-Chun; Lu Jin-Suo.Calculation of Salt Effect Coefficients of Nonaqueous Solution by Scale Particle Theory[J]. Acta Phys. -Chim. Sin., 1991,7(03): 311-317
142. Han Ming-Yong; Liu Wang; Wang De-Jun; Xiao Liang-Zhi; Li Tie-Jin.A Sutdy of Charge Transfer Interaction Between MnPc and Surface-Adsorbed NO2[J]. Acta Phys. -Chim. Sin., 1991,7(03): 349-353
143. CHEN Hao, YANG Tao, LI Jie-Wei, ZHANG Xin-Wen, QIAN Yan, XIE Ling-Hai, HUANG Wei.Synthesis and Optoelectronic Properties of a Solution-Processable Anthraquinone/Fluorene Hybrid Bipolar Fluorescent Material[J]. Acta Phys. -Chim. Sin., 0,(): 0-0
144. LI Kui, ZHAO Yao-Lin, DENG Jia, HE Chao-Hui, DING Shu-Jiang, SHI Wei-Qun.Adsorption of Radioiodine on Cu2O Surfaces: a First-Principles Density Functional Study[J]. Acta Phys. -Chim. Sin., 0,(): 0-0
145. XING Lei, JIAO Li-Ying.Recent Advances in the Chemical Doping of Two-Dimensional Molybdenum Disulfide[J]. Acta Phys. -Chim. Sin., 0,(): 0-0
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