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Analytical Polarizable Continuum Model for Wavelets on NURBS Patches 被引量:1
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作者 Maharavo Randrianarivony 《Applied Mathematics》 2017年第8期1045-1073,共29页
This article concerns the application of wavelet techniques on molecular surfaces constituted of four-sided patches. The Polarizable Continuum Model, which is governed by the Poisson-Boltzmann equation, is treated by ... This article concerns the application of wavelet techniques on molecular surfaces constituted of four-sided patches. The Polarizable Continuum Model, which is governed by the Poisson-Boltzmann equation, is treated by means of boundary integral equations. The media inside and outside the molecular surface consist respectively of the solute and the solvent. For a given electrically charged molecule, the principal unknown is the electrostatic solvation energy when the permittivity is specified. The wavelet basis functions are constructed on the unit square which are subsequently mapped onto the patches that are assumed to be isotropically shaped and to admit similar surface areas. The initial transmission problem is recast as an integral equation in term of both the single and the double layers. Domain decomposition preconditioner serves as acceleration of the linear solver of the single layer which is badly conditioned. 展开更多
关键词 polarizable CONTINUUM Model Wavelet POISSON-BOLTZMANN Patch Electrostatic SOLVATION Energy
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NONTRIVIAL SOLUTIONS FOR A CLASS OF NON-DIVERGENCE EQUATIONS ON POLARIZABLE CARNOT GROUP
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作者 刘海峰 钮鹏程 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第2期157-164,共8页
Some new properties of polarizable Carnot group are given.By choosing a proper constant a nontrivial solution of a class of non-divergence Dirichlet problem on the polarizable Carnot group is constructed.Thus the mult... Some new properties of polarizable Carnot group are given.By choosing a proper constant a nontrivial solution of a class of non-divergence Dirichlet problem on the polarizable Carnot group is constructed.Thus the multi-solution property of corresponding non-homogeneous Dirichlet problem is proved and the best possible of LQ norm in the famous Alexandrov-Bakelman-Pucci type estimate is discussed. 展开更多
关键词 Dirichlet problem polarizable Carnot group Alexandrov-Bakelman-Pucci estimate.
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Validation of polarizable force field parameters for nucleic acids by inter-molecular interactions 被引量:1
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作者 Liaoran Cao Hong Ren +3 位作者 Jing Miao Wei Guo Yan Li Guohui Li 《Frontiers of Chemical Science and Engineering》 SCIE EI CAS CSCD 2016年第2期203-212,共10页
Modeling structural and thermodynamic prop- erties of nucleic acids has long been a challenge in the development of force fields. Polarizable force fields are a new generation of potential functions to take charge red... Modeling structural and thermodynamic prop- erties of nucleic acids has long been a challenge in the development of force fields. Polarizable force fields are a new generation of potential functions to take charge redistribution and induced dipole into account, and have been proved to be reliable to model small molecules, polypeptides and proteins, but their use on nucleic acids is still rather limited. In this article, the interactions between nucleic acids and a small molecule or ion were modeled by AMOEBAbio09, a modern polarizable force field, and conventional non-polarizable AMBER99sb and CHARMM36 force fields. The resulting intermolecular interaction energies were compared with those calculated by ab initio quantum mechanics methods. Although the test is not sufficient to prove the reliability of the polarizable force field, the results at least validate its capability in modeling energetics of static configurations, which is one basic component in force field parameterization. 展开更多
关键词 nucleic acid polarizable force field AMOEBA
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Dielectric relaxation of interfacial polarizable molecules in chitosan ice-hydrogel materials
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作者 Y.Q.Li C.X.Zhang +5 位作者 P.Jia Y.Zhang L.Lin Z.B.Yan X.H.Zhou J.-M.Liu 《Journal of Materiomics》 SCIE EI 2018年第1期35-43,共9页
The functionalities of hydrogel-based smart materials are highly related to the electrostatic interactions and molecular polarization associated with the polymer networks and encapsulated water droplets,and therefore ... The functionalities of hydrogel-based smart materials are highly related to the electrostatic interactions and molecular polarization associated with the polymer networks and encapsulated water droplets,and therefore the dielectric responses of the polarizable molecules in the polymer,water,and polymer-water interfaces are particularly attractive,where the properties of polymer-water interfacial molecules remain elusive.Different from extensive dielectric relaxation spectroscopy studies on polymer hydrogel solutions,in this work we investigate the dielectric response of chitosan hydrogels below the water solidifying point(ice-hydrogels)so that the contribution of chitosan-water interfacial molecules can be isolated.It is revealed that the chitosan-water interfacial polarizable molecules have slow dielectric relaxation but large polarization compared with the chitosan chains and water molecules,and the dielectric relaxations beyond~10^(4)Hz are substantially weak.The thermal activation energy of the dielectric relaxation for these interfacial polarizable molecules can be as large as 0.93 eV,i.e.89.73 kJ/mol.The present work provides a platform for characterizing the polymer-water electrostatic interactions and interfacial polarizable molecules,informative to understand the microstructure-property relationships of chitosan-based hydrogel materials. 展开更多
关键词 Chitosan hydrogels Dielectric relaxation Polymer-water interfacial polarizable MOLECULES Thermal activation energy
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Hydrolysis Mechanism of the NAMI-A-type Antitumor Complex (HL)[trans-RuCl4L(dmso-S)] (L=1-methyl-l,2,4-triazole)
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作者 陈兰美 陈锦灿 +3 位作者 廖思燕 刘江琴 罗辉 郑康成 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2011年第4期383-390,I0003,共9页
The hydrolysis process of Ru(III) complex (HL)[trans-RuC14L(dmso-S)] (L=l-methyl-l,2,4- triazole and dmso-S=S-dimethyl sulfoxide) (1), a potential antitumor complex similar to the well-known antitumor agent ... The hydrolysis process of Ru(III) complex (HL)[trans-RuC14L(dmso-S)] (L=l-methyl-l,2,4- triazole and dmso-S=S-dimethyl sulfoxide) (1), a potential antitumor complex similar to the well-known antitumor agent (Him)[trans-RuC14 (dmso-S)(im)] (NAMI-A, im=imidazole), was investigated using density functional theory combined with the conductor-like polarizable continuum model approach. Tile structural characteristics and the detailed energy profiles for the hydrolysis processes of this complex were obtained. For the first hydrolysis step, complex 1 has slightly higher barrier energies than the reported anticancer drug NAMI-A, and the result is in accordance with the experimental evidence indicating larger half-life for complex 1. For the second hydrolysis step, the formation of cis-diaqua species is thermodynamic preferred to that of trans isomers. In addition, on the basis of the analysis of electronic characteristics of species in the hydrolysis process, the trend in nucleophilic attack abilities of hydrolysis products by pertinent biomolecules is revealed and predicted. 展开更多
关键词 NAMI-A-type complex Anticancer activity HYDROLYSIS Density functional theory Conductor-like polarizable continuum model
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Density Functional Study on Structures and Relative Stability of Gd(H2O)n^3+ (n=8,9)
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作者 肖伟 夏琼琼 +2 位作者 章永凡 宁利新 崔执凤 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2009年第4期395-400,448,共7页
Density functional theory calculations were performed to study the structures and relative stability of the gadolinium complexes, Gd(H2O)n^3+ (n=8,9), in vacuo and in aqueous solution. The polarizable continuum m... Density functional theory calculations were performed to study the structures and relative stability of the gadolinium complexes, Gd(H2O)n^3+ (n=8,9), in vacuo and in aqueous solution. The polarizable continuum model with various radii for the solute cavity was used to study the relative stability in aqueous solution. The calculated molecular geometries for n=8 and 9 obtained in vacuo are consistent with those observed in experiments. It was found that while the nona-aqua complex is favored in the gas phase, in aqueous solution the octa-aqua conformation is preferred. This result, independent of the types of cavities employed, is in agreement with the experimental observation. The reliability of the present calculation was also addressed by comparing the calculated and experimental free energy of hydration, which revealed that the UA0, UAHF, and UAKS cavities are most appropriate when only the first solvation shell is treated explicitly. 展开更多
关键词 Density functional theory Gadolinium hydrate Relative stability polarizable continuum model Solute cavity
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Electronic polarization in dipolar organic molecular semiconductors:The case study of 1,2,3,4-tetrafluoro-6,7-dimethylnaphthalene crystal
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作者 Xiaoyi Ma Yuanping Yi 《Chinese Chemical Letters》 SCIE CAS CSCD 2020年第3期797-800,共4页
Electronic polarization has an important impact on the site energies of charge carriers that play a key role in determining the charge transport in organic semiconductors.Dipolar molecules have strong intermolecular i... Electronic polarization has an important impact on the site energies of charge carriers that play a key role in determining the charge transport in organic semiconductors.Dipolar molecules have strong intermolecular interactions and widespread applications in organic optoelectronics.Howeve r,compared with nonpolar organic semiconductors,electronic polarization for dipolar systems has been rarely studied.Here,taking 1,2,3,4-tetrafluoro-6,7-dimethylnaphthalene as representative,we have calculated the electronic polarization energies of dipolar organic molecular crystals by means of a polarizable forcefield method.Surprisingly,our results point to that the polarization energies for this dipolar system are similar to those of nonpolar systems.In addition,theπ-πstack contributes only about 30%~40%to the total polarization energy,thus the polarization effects along the three dimensions should be treated equally even for the one-dimensional stacking crystals. 展开更多
关键词 Electronic polarization DIPOLAR ORGANIC SEMICONDUCTORS CHARGE transport polarizable force field
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Studies of Solvent Effects on Structure and Low Frequency Vibrational Spectra of 2,4-Dinitrotoluene
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作者 WANG Lin JIN Ming-xing LIU Hang DING Da-jun 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2009年第3期373-376,共4页
Solvent effects on 2,4-dinitrotoluene(2,4-DNT) molecule in different solvents(toluene, ethanol, and water) were studied via DFT PCM method at B3LYP/6-311+G(d,p) level. The influences of these solvents on the mo... Solvent effects on 2,4-dinitrotoluene(2,4-DNT) molecule in different solvents(toluene, ethanol, and water) were studied via DFT PCM method at B3LYP/6-311+G(d,p) level. The influences of these solvents on the molecular structure, vibrational spectra, charge distribution, and dipole moment were studied as well. The results show that PCM computations are successful in describing the vibrational spectra of 2,4-DNT molecules in these solutions and the solvent effects on the low frequency vibrational spectra are weak. 展开更多
关键词 Density functional theory Solvent effect polarizable continuum model 2 4-Dinitrotoluene
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Inverted Solvatochromic Stokes Shift in GFP-like Chromophores with Extended Conjugation
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作者 Hang Hu Charles H.Wolstenholme +1 位作者 Xin Zhang Xiaosong Li 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2018年第4期599-607,616,共10页
Chrornophore structures inspired by natural green fluorescent protein (GFP) play an im- portant role in the field of bio-irnaging. In this work, photochemical properties of a new class of GFP-like chromophores are i... Chrornophore structures inspired by natural green fluorescent protein (GFP) play an im- portant role in the field of bio-irnaging. In this work, photochemical properties of a new class of GFP-like chromophores are investigated using computational approaches. Thermo- dynamically stable isomers are identified in vacuum and in solvent. Spectral Stokes shifts are computed and compared to experiments. An inverted solvatochromic shift between absorption and emission emerging in this new class of GFP-like chromophores is observed, and attributed to the stabilized charge transfer and inhibited rotational structural reorganization in solvent. 展开更多
关键词 Green fluorescent protein Solvatochrornic shift Stokes shift Time-dependentdensity functional theory polarizable continuum model
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Effects of Electron Donor and Different Solvents on Polarizability and Second Hyperpolarizability of Diradical Complex Involving X(X=B,Al,Ga)
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作者 LIU Hai-bo QIU Yong-qing +2 位作者 YANG Guo-chun LIU Chun-guang SUN Shi-ling 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2012年第2期308-312,共5页
The polarizability(α) and second hyperpolarizability(γ) were systemically investigated for singlet diradical complex involving X(X=B,Al,Ga) atom.The results show that both the α and γ can be effectively tune... The polarizability(α) and second hyperpolarizability(γ) were systemically investigated for singlet diradical complex involving X(X=B,Al,Ga) atom.The results show that both the α and γ can be effectively tuned by varying the distance R(between compound A and a water molecule) and acceptor atom X.The lone pair of electrons from the O atom of the water molecule entered into the vacant p orbital of atom X,which increased the diradical character and led to the increase of the α and γ values.Furthermore,the polarizable continuum model(PCM) was used to test the effects of H2O and CCl4 solvents on the α and γ values.Both the α and γ values of the studied diradical complex 1a(1b,1c) in H2O and CCl4 were uniformly enhanced.And the solvent effects of H2O on either α or γ were larger than those of CCl4. 展开更多
关键词 POLARIZABILITY Second hyperpolarizability Diradical character polarizable continuum model(PCM)
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Assessment of Defects and Collapsed Sites in Self-Assembled Alkanethiol Monolayer on Gold by Cyclic Voltammetry and A.C.Impedance
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作者 Diao, P Jiang, DL +3 位作者 Cui, XL Gu, DP Tong, RT Zhong, B 《Chinese Chemical Letters》 SCIE CAS CSCD 1998年第12期0-0,0-0,共4页
Self-assembly of octadecyl mercaptan on gold was investigated by cyclic voltammetry(CV) and electrochemical impedance spectroscopy (EIS). Results of CV experiments show thatthere are no structUral defects exposed dire... Self-assembly of octadecyl mercaptan on gold was investigated by cyclic voltammetry(CV) and electrochemical impedance spectroscopy (EIS). Results of CV experiments show thatthere are no structUral defects exposed directly to the redox couple in solution, but EISexperiments indicate that collapsed sites exist in the monolayer. A method to estimate the degree ofdisorder in the Au/thiol monolayer surface is proposed by using admittance plane plot. 展开更多
关键词 Self-assembled monolayer cyclic voltammetry a.c. impedance ideally polarizable electrode surface roughness
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Coupling reaction mechanism of 2-(2-bromo-4-fluorophenyl)-1-cyclohexen-1-yl trifluoromethane-sulfonate
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作者 白坤坤 YOU Yong +2 位作者 PAN Rui 李来才 TIAN An-min 《Journal of Chongqing University》 CAS 2013年第3期108-116,共9页
The detailed mechanism of CuI-catalyzed C-O intramolecular coupling reaction of 2-(2-bromo-4-fluoro-phenyl)-l- cyclohexen-1-yl trifluoromethane-sulfonate was studied with the density functional theory (DFT). The g... The detailed mechanism of CuI-catalyzed C-O intramolecular coupling reaction of 2-(2-bromo-4-fluoro-phenyl)-l- cyclohexen-1-yl trifluoromethane-sulfonate was studied with the density functional theory (DFT). The geometries of the reactants, transition states, intermediates and products were optimized at the B3LYP/6-31 +G* level. Meanwhile, the single point energy of species involved in gas and solvent at B3LYP/6-31 I+G* level was individually investigated. Polarizable continuum models (PCM) were applied to the dioxane and water solutions at the same level, respectively. Results show that the rate-limiting step, M3→TS3, does not change in different solutions. However, the activation energy in a dioxane solution is lower than that in water, which explains the previous experimental results. Compared with the non-catalyzed reaction process, the activation energy of the rate- limiting step is reduced by 56.53 kJ mo1-1 in gas and 44.84 kJ mol-l in solvent, demonstrating a high catalytic efficiency of CuI. 展开更多
关键词 2-(2-bromo-4-fluoro-phenyl)-l-cyclohexen-l-yl trifluoromethane-sulfonate CuI density functional theory Calculation polarizable continuum model coupling reaction
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Electrostatic and Magnetostatic Forces That Arise from Electrostatic and Magnetostatic Pressures
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作者 José-Luis Jiménez-Ramírez Ignacio Campos-Flores José-Antonio-Eduardo Roa-Neri 《Journal of Electromagnetic Analysis and Applications》 2019年第3期25-40,共16页
With the insight provided by a balance equation of electromagnetic momentum, we compare the force on a dielectric slab inside a capacitor with the force on a magnetizable rod inside a solenoid. We conclude that these ... With the insight provided by a balance equation of electromagnetic momentum, we compare the force on a dielectric slab inside a capacitor with the force on a magnetizable rod inside a solenoid. We conclude that these forces are not exactly analogous, as usually thought. We present a device that is a proper analogy of the case of a dielectric slab inside a capacitor. Our analysis shows the significance of the electrostatic and magnetostatic pressures to the understanding of these effects and shows the conceptual differences between both cases. 展开更多
关键词 polarizable ELECTRIC and MAGNETIC Media ELECTRIC and MAGNETIC Pressures ELECTROMAGNETIC Force Densities Macroscopic Maxwell EQUATIONS Balance EQUATIONS of ELECTROMAGNETIC Momentum
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Enthalpies Estimation of Formation of Monosubstituted Alkanes by Interaction Potential Index 被引量:3
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作者 Ya-xin Wu Chen-zhong Cao Hua Yuan 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2012年第2期153-160,I0003,共9页
The interaction potential index IPI(X) of 16 Br, C1, I, NO2, CN, CHO, COOH, CH3, CH: kinds of substituents X (X---OH, SH, NH2, :CH2, C-CH, Ph, COCH3, COOCH3) were proposed, which are derived from the experimenta... The interaction potential index IPI(X) of 16 Br, C1, I, NO2, CN, CHO, COOH, CH3, CH: kinds of substituents X (X---OH, SH, NH2, :CH2, C-CH, Ph, COCH3, COOCH3) were proposed, which are derived from the experimental enthalpies of formation △fHФ (g) values of monosubstituted straight-chain alkanes. Based on the IPI(X) and polarizability effect index, a simple and effective model was constructed to estimate the △fHФ (g) values of monosubstituted alkanes RX (including the branched derivatives). The present model takes into account not only the contributions of the alkyl R and the substituent X, but also the contribution of the interaction between R and X. Its stability and prediction ability was confirmed by the results of leave-one-out method. Compared with previous reported studies, the obtained equation can be used to estimate enthalpies of formation for much more kinds of monosubstituted alkanes with less parameters. Thus, it is recommended for the calculation of the △fHФ(g) for the RX. 展开更多
关键词 Interaction potential index SUBSTITUENT Monosubstituted alkane Enthalpy offormation Polarizability effect index
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Static electric dipole polarizability of lithium atoms in Debye plasmas 被引量:3
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作者 宁丽娜 祁月盈 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第12期180-186,共7页
The static electric dipole polarizabilities of the ground state and n ≤ 3 excited states of a lithium atom embedded in a weekly coupled plasma environment are investigated as a function of the plasma screening radium... The static electric dipole polarizabilities of the ground state and n ≤ 3 excited states of a lithium atom embedded in a weekly coupled plasma environment are investigated as a function of the plasma screening radium. The plasma screening of the Coulomb interaction is described by the Debye-Hiickel potential and the interaction between the valence electron and the atomic core is described by a model potential. The electron energies and wave functions for both the bound and continuum states are calculated by solving the SchrSdinger equation numerically using the symplectic integrator. The oscillator strengths, partial-wave, and total static dipole polarizabilities of the ground state and n ≤ 3 excited states of the lithium atom are calculated. Comparison of present results with those of other authors, when available, is made. The results for the 2s ground state demonstrated that the oscillator strengths and the static dipole polarizabilities from np orbitals do not always increase or decrease with the plasma screening effect increasing, unlike that for hydrogen-like ions, especially for 2s→3p transition there is a zero value for both the oscillator strength and the static dipole polarizability for screening length D = 10.3106a0, which is associated with the Cooper minima. 展开更多
关键词 static electric dipole polarizability Debye plasmas lithium atom
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Refractive Index and Electronic Polarizability of Ternary Chalcopyrite Semiconductors 被引量:2
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作者 KUMAR V. SINHA Anita +2 位作者 SINGH B.P. SINHA A.P. JHA V. 《Chinese Physics Letters》 SCIE CAS CSCD 2015年第12期147-151,共5页
Simple models are proposed for the calculation of refractive index n and electronic polarizability α of AⅠBⅢC2Ⅵ and AⅡBⅣC2Ⅴ compounds of groups of chalcopyrite semiconductors from their energy gap data. The val... Simple models are proposed for the calculation of refractive index n and electronic polarizability α of AⅠBⅢC2Ⅵ and AⅡBⅣC2Ⅴ compounds of groups of chalcopyrite semiconductors from their energy gap data. The values family and 12 compounds of AⅡBⅣC2Ⅴ family are calculated for the work. The proposed models are applicable for the whole range of energy gap materials. The calculated values are compared with the available experimental and reported values. A fairly good agreement between them is obtained. 展开更多
关键词 TE In Refractive Index and Electronic Polarizability of Ternary Chalcopyrite Semiconductors
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Prediction study of hydrocarbon reservoir based on time-frequency domain electromagnetic technique taking Ili Basin as an example 被引量:2
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作者 Tian Yu-Kun Zhou Hui +1 位作者 Ma Yan-Yan Li Juan 《Applied Geophysics》 SCIE CSCD 2020年第5期687-699,900,901,共15页
The time-frequency domain electromagnetic(TFEM)sounding technique can directly detect oil and gas characteristics through anomalies in resistivity and polarizability.In recent years,it has made some breakthroughs in h... The time-frequency domain electromagnetic(TFEM)sounding technique can directly detect oil and gas characteristics through anomalies in resistivity and polarizability.In recent years,it has made some breakthroughs in hydrocarbon detection.TFEM was applied to predict the petroliferous property of the Ili Basin.In accordance with the geological structure characteristics of the study area,a two-dimensional layered medium model was constructed and forward modeling was performed.We used the forward-modeling results to guide fi eld construction and ensure the quality of the fi eld data collection.We used the model inversion results to identify and distinguish the resolution of the geoelectric information and provide a reliable basis for data processing.On the basis of our results,key technologies such as 2D resistivity tomography imaging inversion and polarimetric constrained inversion were developed,and we obtained abundant geological and geophysical information.The characteristics of the TFEM anomalies of the hydrocarbon reservoirs in the Ili Basin were summarized through an analysis of the electrical logging data in the study area.Moreover,the oil-gas properties of the Permian and Triassic layers were predicted,and the next favorable exploration targets were optimized. 展开更多
关键词 Time–Frequency Domain Electromagnetic Hydrocarbon Detection Polarizability Anomaly Favorable Area Prediction
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Influences of adsorptions of some inorganic molecules on electronic, optical, and thermodynamic properties of Mg_(12)O_(12) nanocage: A computational approach 被引量:1
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作者 Asghar Mohammadi Hesari Hamid Reza Shamlouei 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第8期280-289,共10页
According to density functional theory, we investigate the effects of BF3, BF4, BCI3, A1F3, AICI3, A1Br3, 13eF3, GaF3, GaC13, GaBr3, NO3, BS2, BSO, BO2, F2, PFs, PC15, and ASF5 molecules on the geometric, electronic, ... According to density functional theory, we investigate the effects of BF3, BF4, BCI3, A1F3, AICI3, A1Br3, 13eF3, GaF3, GaC13, GaBr3, NO3, BS2, BSO, BO2, F2, PFs, PC15, and ASF5 molecules on the geometric, electronic, linear, and nonlinear optical properties of an Mg12012 nanocage. The thermodynamic stability and feasibility of the adsorption process are investigated by analyzing the free energy. It is shown that the adsorptions of almost all molecules on the Mg12OI2 surface are exothermic. The calculations of the polarizability of these nanoclusters show that among the studied molecules, BeF3 has the largest influence on the polarizability value (a≈315 a.u., the unit a.u. is short for atomic unit). The static first hyperpolarizability (β0) value is increased in the presence of these superhalogens. This increase is greatest for BeF3 and BF4 of which the highest value of the first hyperpolarizability (βO≈ 5775 a.u.) is related to a BeF3_c(e@Mgl2Ol2) nanocluster. The adsorption position is a key to estimating the value of increasing the first hyperpolarizability. 展开更多
关键词 Mg1201 POLARIZABILITY HYPERPOLARIZABILITY binding energy NANOCAGE DFT calculation
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Critical radius and dipole polarizability for a confined system 被引量:1
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作者 许田 曹庄琪 +2 位作者 欧永成 沈启舜 视国龙 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第6期1172-1176,共5页
The analytical transfer matrix method (ATMM) is applied to calculating the critical radius τc and the dipole polarizability αd in two confined systems: the hydrogen atom and the Hulthēén potential. We find ... The analytical transfer matrix method (ATMM) is applied to calculating the critical radius τc and the dipole polarizability αd in two confined systems: the hydrogen atom and the Hulthēén potential. We find that there exists a linear relation between τe^1/2 and the quantum number nτ for a fixed angular quantum number l, moreover, the three bounds of αd(αd^K,αd^B,αd^U) satisfy an inequality:αd^K≤αd^B≤αd^U,A comparison betwen the ATMM,the exact numerical analysis, and the variational wavefunctions shows that our method works very well in the systems. 展开更多
关键词 ATMM confined system critical radius dipole polarizability
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Calculations on polarization properties of alkali metal atoms using Dirac–Fock plus core polarization method 被引量:1
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作者 唐永波 李承斌 乔豪学 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第6期138-144,共7页
A semi-empirical atomic structure model method is developed in the framework of a relativistic case. This method starts from Dirac-Fock calculations using B-spline basis set. The core-valence electron correction is th... A semi-empirical atomic structure model method is developed in the framework of a relativistic case. This method starts from Dirac-Fock calculations using B-spline basis set. The core-valence electron correction is then treated in a semiempirical core polarization potential. As an application, the polarization properties of alkali metal atoms, including the static polarizabilities and long-range two-body dispersion coefficients, have been calculated. Our results are in good agreement with the results obtained from ab initio relativistic many-body perturbation method and the available experimental measurements. 展开更多
关键词 DIRAC-FOCK core polarization POLARIZABILITIES alkali metal atoms
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