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1.
J Comput Chem ; 34(23): 1997-2005, 2013 Sep 05.
Artigo em Inglês | MEDLINE | ID: mdl-23784794

RESUMO

In order to explore the existence of α-effect in gas-phase S(N)2@N reactions, and to compare its similarity and difference with its counterpart in S(N)2@C reactions, we have carried out a theoretical study on the reactivity of six α-oxy-Nus (FO(-), ClO(-), BrO(-), HOO(-), HSO(-), H2NO(-)) in the S(N)2 reactions toward NR2Cl (R = H, Me) and RCl (R = Me, i-Pr) using the G2(+)M theory. An enhanced reactivity induced by the α-atom is found in all examined systems. The magnitude of the α-effect in the reactions of NR2Cl (R = H, Me) is generally smaller than that in the corresponding S(N)2 reaction, but their variation trend with the identity of α-atom is very similar. The origin of the α-effect of the S(N)2@N reactions is discussed in terms of activation strain analysis and thermodynamic analysis, indicating that the α-effect in the S(N)2@N reactions largely arises from transition state stabilization, and the "hyper-reactivity" of these α-Nus is also accompanied by an enhanced thermodynamic stability of products from the n(N) → σ*(O-Y) negative hyperconjugation. Meanwhile, it is found that the reactivity of oxy-Nus in the S(N)2 reactions toward NMe2Cl is lower than toward i-PrCl, which is different from previous experiments, that is, the S(N)2 reactions of NH2Cl is more facile than MeCl.


Assuntos
Gases/química , Ânions/química , Carbono/química , Elétrons , Nitrogênio/química , Termodinâmica
2.
J Phys Chem A ; 116(15): 3952-9, 2012 Apr 19.
Artigo em Inglês | MEDLINE | ID: mdl-22452350

RESUMO

The gas-phase N-alkyl-amino-cation affinities (NAACA) of archetypal anionic main-group element hydrides across the Periodic Table have been investigated by means of a modified G2(+) scheme. The reactions studied include R(2)NB → R(2)N(+) + B(-) (R = H, Me; B = XH(n), n = 0-3; X = F, Cl, Br, O, S, Se, N, P, As, C, Si, Ge). Our calculations indicate that the reasonable linear correlations between NAACA and proton affinities (PA) only exist within the Period 2 anions, including H(3)C(-), H(2)N(-), HO(-), and F(-), or the anions within Periods 3-4 in the Periodic Table, which is significantly different from the alkyl cation affinities, where there is a reasonable correlation between the computed alkyl cation affinity and PA values of the set of anionic main-group element hydrides. The interesting differences can be ascribed to the generalized anomeric effect induced by n(N) → σ*(X-H) negative hyperconjugation found in R(2)NXH(n), with central atom X belonging to Groups 14-16 (X = O, S, Se, N, P, As, C, Si, Ge).


Assuntos
Aminas/química , Cátions , Gases
3.
J Phys Chem A ; 115(47): 13965-74, 2011 Dec 01.
Artigo em Inglês | MEDLINE | ID: mdl-21988223

RESUMO

The anionic S(N)2 reactions at neutral nitrogen, Nu(-) + NR(2)Cl → NR(2)Nu + Cl(-) (R = H, Me; Nu = F, Cl, Br, OH, SH, SeH, NH(2), PH(2), AsH(2)) have been systematically studied computationally at the modified G2(+) level. Two reaction mechanisms, inversion and retention of configuration, have been investigated. The main purposes of this work are to explore the reactivity trend of anions toward NR(2)Cl (R = H, Me), the steric effect on the potential energy surfaces, and the leaving ability of the anion in S(N)2@N reactions. Our calculations indicate that the complexation energies are determined by the gas basicity (GB) of the nucleophile and the electronegativity (EN) of the attacking atom, and the overall reaction barrier in the inversion pathway is basically controlled by the GB value of the nucleophile. The retention pathway in the reactions of NR(2)Cl with Nu(-) (Nu = F, Cl, Br, OH, SH, SeH) is energetically unfavorable due to the barriers being larger than those in the inversion pathway by more than 120 kJ mol(-1). Activation strain model analyses show that a higher deformation energy and a weaker interaction between deformed reactants lead to higher overall barriers in the reactions of NMe(2)Cl than those in the reactions of NH(2)Cl. Our studies on the reverse process of the title reactions suggest that the leaving ability of the anion in the gas phase anionic S(N)2@N reactions is mainly determined by the strength of the N-LG bond, which is related to the negative hyperconjugation inherent in NR(2)Nu (R = H, Me; Nu = HO, HS, HSe, NH(2), PH(2), AsH(2)).


Assuntos
Cloraminas/química , Dimetilaminas/química , Teoria Quântica , Ânions/química , Gases/química
5.
Nanoscale ; 3(8): 3269-76, 2011 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-21717011

RESUMO

Nanoporous and nonporous three-dimensional silicon nanowire arrays (SiNWAs) prepared with metal-assisted chemical etching method were investigated as photocatalysts in dye photodegradation systematically. In comparison with nonporous SiNWAs, nanoporous SiNWAs have higher surface area, larger pore volume, stronger light absorption and better photocatalytic activity. After the HF-treatment, the photocatalytic activity of all kinds of SiNWAs increased significantly and the nanoporous SiNWAs showed excellent stability. The photocatalytic activity of different types of SiNWAs with hydrogen surface termination can be recovered by HF treatment. This study also reveal that the hydrogen terminated surfaces on silicon nanowires (SiNWs) enhance the performance of SiNWAs by increasing their photocatalytic activity.


Assuntos
Poluentes Ambientais/metabolismo , Nanotecnologia/instrumentação , Nanofios/química , Silício/química , Absorção , Adsorção , Compostos Azo/química , Compostos Azo/metabolismo , Corantes/química , Corantes/metabolismo , Poluentes Ambientais/química , Ácido Fluorídrico , Microscopia Eletrônica , Nanofios/ultraestrutura , Nitrogênio , Tamanho da Partícula , Processos Fotoquímicos , Porosidade
6.
J Comput Chem ; 32(12): 2555-63, 2011 Sep.
Artigo em Inglês | MEDLINE | ID: mdl-21598283

RESUMO

Ring-opening isomerization from ring-shaped isomers to chain-shaped isomers of N(8)H(8) has been studied by a density function B3LYP method at 6-311+ +G** level. 20 ring-shaped isomers have been found to be able to transform into chain-shaped isomers, with 20 possible transition states got by ring-opening structure optimization. Furthermore, the ring-openings have been found in the longer N-N single bond by analyzing the length change of N-N bond of ring-shaped isomers in ring-opening processes. In addition, with the activation energies in ring-opening processes, the differences of the activation energies in isomerization between the isomers have been found according to the classification of rings. The activation energies in ring-opening isomerization of six-membered ring-shaped isomers are higher than that of the four-membered ring-shaped isomers. It indicates that six-membered ring-shaped isomers difficult in ring-opening in the isomerization are the steadiest ring-shaped isomers of N(8)H(8) while four-membered ring-shaped isomers easy in ring-opening are the most unstable.

7.
J Mol Model ; 17(8): 2069-82, 2011 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-21161555

RESUMO

The detailed reaction mechanism for the water-assisted hydrolysis of isocyanic acid, HNCO + (n + 1) H(2)O → CO(2) + NH(3) + nH(2)O (n = 0-6), taking place in the gas phase, has been investigated. All structures were optimized and characterized at the MP2/6-31 + G level of theory, and then re-optimized at MP2/6-311++G. The seven explicit water molecules participating in the hydrolysis can be divided into two groups, one directly involved in the proton relay, and the other located in the vicinity of the substrate playing the cooperative role by engaging in hydrogen-bonding to HN = C = O. Two possible reaction pathways, the addition of water molecule across the C = N bond or across the C = O bond, are discussed, and the former is proved to be more favorable energetically. Our calculations suggest that, in the most kinetically favorable pathway for the titled hydrolysis, three water molecules are directly participating in the hydrogen transfer via an eight-membered cyclic transition state, while the other four water molecules catalyze the hydrolysis of HN = C = O by forming three eight-membered cooperative loops near the substrate. This strain-free hydrogen-bond network leads to the best estimated rate-determining activation energy of 24.9 kJ mol(-1) at 600 K, in excellent agreement with the gas-phase kinetic experimental result, 25.8 kJ mol(-1).


Assuntos
Cianatos/química , Modelos Teóricos , Água/química , Catálise , Simulação por Computador , Hidrólise , Conformação Molecular
8.
J Nanosci Nanotechnol ; 10(12): 8271-7, 2010 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-21121327

RESUMO

Large-area upstanding silicon nanowires (SiNWs) were synthesized by hot-filament chemical vapor deposition (HFCVD) using silicon monoxide (SiO) powder as Si source under high vacuum (1.2 x 10(-5) Torr). Gold nanoparticles (AuNPs) were employed as catalyst, which were formed on Si substrate by in-situ reduction of gold chloride (AuCl3). The size and distribution of the Au nanoparticles can be easily controlled through chemical reaction conditions. Consequently, the diameter, length and density of SiNWs could be varied in certain range. The SiNWs obtained are single crystalline with growth directions predominantly along [01-1]. Silicon nanowires in large-scale and diameter less than 10 nm can be grown on different Si substrates with this method. Organic inorganic hybrid solar cells based on SiNWs arrays have been demonstrated.

9.
Chemistry ; 16(44): 13155-62, 2010 Nov 22.
Artigo em Inglês | MEDLINE | ID: mdl-20922718

RESUMO

The minimal essential section of DNA helices, the dinucleoside phosphate deoxyguanylyl-3',5'-deoxycytidine dimer octahydrate, [dGpdC](2), has been constructed, fully optimized, and analyzed by using quantum chemical methods at the B3LYP/6-31+G(d,p) level of theory. Study of the electrons attached to [dGpdC](2) reveals that DNA double strands are capable of capturing low-energy electrons and forming electronically stable radical anions. The relatively large vertical electron affinity (VEA) predicted for [dGpdC](2) (0.38 eV) indicates that the cytosine bases are good electron captors in DNA double strands. The structure, charge distribution, and molecular orbital analysis for the fully optimized radical anion [dGpdC](2)(·-) suggest that the extra electron tends to be redistributed to one of the cytosine base moieties, in an electronically stable structure (with adiabatic electron affinity (AEA) 1.14 eV and vertical detachment energy (VDE) 2.20 eV). The structural features of the optimized radical anion [dGpdC](2)(·-) also suggest the probability of interstrand proton transfer. The interstrand proton transfer leads to a distonic radical anion [d(G-H)pdC:d(C+H)pdG](·-), which contains one deprotonated guanine anion and one protonated cytosine radical. This distonic radical anion is predicted to be more stable than [dGpdC](2)(·-). Therefore, experimental evidence for electron attachment to the DNA double helices should be related to [d(G-H)pdC:d(C+H)pdG](·-) complexes, for which the VDE might be as high as 2.7 eV (in dry conditions) to 3.3 eV (in fully hydrated conditions). Effects of the polarizable medium have been found to be important for increasing the electron capture ability of the dGpdC dimer. The ultimate AEA value for cytosine in DNA duplexes is predicted to be 2.03 eV in aqueous solution.


Assuntos
DNA/química , Fosfatos de Dinucleosídeos/síntese química , Modelos Moleculares , Ânions/química , Citosina/análise , Fosfatos de Dinucleosídeos/química , Elétrons , Ligação de Hidrogênio , Prótons , Água/química
10.
Anal Bioanal Chem ; 397(7): 3143-50, 2010 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-20563793

RESUMO

Patterning is of paramount importance in many areas of modern science and technology. As a good candidate for novel nanoscale optoelectronics and miniaturized molecule sensors, vertically aligned silicon nanowire (SiNW) with controllable location and orientation is highly desirable. In this study, we developed an effective procedure for the fabrication of vertically aligned SiNW arrays with micro-sized features by using single-step photolithography and silver nanoparticle-induced chemical etching at room temperature. We demonstrated that the vertically aligned SiNW arrays can be used as a platform for label-free DNA detection using surface-enhanced Raman spectroscopy (SERS), where the inherent "fingerprint" SERS spectra allows for the differentiation of closely related biospecies. Since the SiNW array patterns could be modified by simply varying the mask used in the photolithographic processing, it is expected that the methodology can be used to fabricate label-free DNA microarrays and may be applicable to tissue engineering, which aims to create living tissue substitutes from cells seeded onto 3D scaffolds.


Assuntos
DNA/análise , Nanofios/química , Silício/química , Sequência de Bases , DNA/genética , Dados de Sequência Molecular , Análise Espectral Raman
11.
J Org Chem ; 75(12): 4212-7, 2010 Jun 18.
Artigo em Inglês | MEDLINE | ID: mdl-20481599

RESUMO

The enhanced reactivity exhibited by six pseudo-alpha-bases, RC[triple bond]CZ(-) (R = H and Cl; Z = O, S, and Se) in gas-phase E2 reactions with ethyl chloride was examined at the G2(+) level. It is found that anomalous reactivity is observed despite the fact that these chalcogen bases do not possess adjacent lone-pair electrons. The influence of the halide leaving groups on the alpha-effect and the origin of the alpha-effect in the E2 reactions of ethyl halides are investigated and discussed.


Assuntos
Cloro/química , Gases/química , Hidrogênio/química , Oxigênio/química , Enxofre/química , Cloreto de Etil/química , Estrutura Molecular , Selênio/química , Termodinâmica
12.
Chem Cent J ; 4: 6, 2010 Mar 23.
Artigo em Inglês | MEDLINE | ID: mdl-20331849

RESUMO

BACKGROUND: Hydration is a universal phenomenon in nature. The interactions between biomolecules and water of hydration play a pivotal role in molecular biology. 2-Thioxanthine (2TX), a thio-modified nucleic acid base, is of significant interest as a DNA inhibitor yet its interactions with hydration water have not been investigated either computationally or experimentally. Here in, we reported an ab initio study of the hydration of 2TX, revealing water can form seven hydrated complexes. RESULTS: Hydrogen-bond (H-bond) interactions in 1:1 complexes of 2TX with water are studied at the MP2/6-311G(d, p) and B3LYP/6-311G(d, p) levels. Seven 2TX...H2O hydrogen bonded complexes have been theoretically identified and reported for the first time. The proton affinities (PAs) of the O, S, and N atoms and deprotonantion enthalpies (DPEs) of different N-H bonds in 2TX are calculated, factors surrounding why the seven complexes have different hydrogen bond energies are discussed. The theoretical infrared and NMR spectra of hydrated 2TX complexes are reported to probe the characteristics of the proposed H-bonds. An improper blue-shifting H-bond with a shortened C-H bond was found in one case. NBO and AIM analysis were carried out to explain the formation of improper blue-shifting H-bonds, and the H-bonding characteristics are discussed. CONCLUSION: 2TX can interact with water by five different H-bonding regimes, N-H...O, O-H...N, O-H...O, O-H...S and C-H...O, all of which are medium strength hydrogen bonds. The most stable H-bond complex has a closed structure with two hydrogen bonds (N(7)-H...O and O-H...O), whereas the least stable one has an open structure with one H-bond. The interaction energies of the studied complexes are correlated to the PA and DPE involved in H-bond formation. After formation of H-bonds, the calculated IR and NMR spectra of the 2TX-water complexes change greatly, which serves to identify the hydration of 2TX.

13.
J Phys Chem A ; 114(1): 595-602, 2010 Jan 14.
Artigo em Inglês | MEDLINE | ID: mdl-20000561

RESUMO

The detailed reaction pathways for the hydration of ketenimine by water and water clusters containing up to five explicit water molecules (CH(2) =C=NH + (n + 1)H(2)O --> CH(3)CONH(2) + nH(2)O, n = 0-4) in the gas phase have been investigated by the MP2 method in conjunction with the 6-31+G* and 6-311++G** basis sets, and the effects of bulk solvent are taken into account according to the conductor-like polarizable continuum model (COSMO). In the hybrid cluster/continuum model, apart from one directly attacking water molecule, four explicit water molecules participating in the water-assisted hydrolysis of ketenimine are divided into two groups, one involving in the proton relay and the other near the nonreactive nitrogen or carbon atom. Two possible reaction channels, water addition across the C=C bond or across the C horizontal lineN bond of ketenimine, are discussed. Our results indicate that the kinetically favorable mechanism involves an eight-membered ring transition state structure formed by a proton transfer chain of three water molecules. Meanwhile, two additional cooperative water molecules near the nonreactive region assist the hydration by engaging in hydrogen bonding to the substrate; such an interaction is found to be important in the hydration of ketenimine and other cumulenes. The lowest rate-determining activation barriers of C=C and C=N addition are 98.9 and 95.1 kJ/mol, respectively, suggesting that the two channels are competitive when more water molecules take part in the hydration. COSMO solution models do not modify the calculated energy barriers in a significant way.


Assuntos
Iminas/química , Teoria Quântica , Água/química , Simulação por Computador , Modelos Químicos , Modelos Moleculares , Solventes/química
14.
Chem Commun (Camb) ; (39): 5829-31, 2009 Oct 21.
Artigo em Inglês | MEDLINE | ID: mdl-19787111

RESUMO

Metal (Au, Cu)-modified Si nanowires (SiNWs) are superior catalysts for selective oxidation of hydrocarbons, while SiNWs are a powerful substrate support (enhance efficiency and selectivity) for nanocatalysts.

15.
J Chem Theory Comput ; 5(6): 1597-606, 2009 Jun 09.
Artigo em Inglês | MEDLINE | ID: mdl-26609852

RESUMO

The reactivity order of 12 anions toward ethyl chloride has been investigated by using the G2(+) method, and the competitive E2 and SN2 reactions are discussed and compared. The reactions studied are X(-) + CH3CH2Cl → HX + CH2═CH2 + Cl(-) and X(-) + CH3CH2Cl → CH3CH2X + Cl(-), with X = F, Cl, Br, HO, HS, HSe, NH2 PH2, AsH2, CH3, SiH3, and GeH3. Our results indicate that there is no general and straightforward relationship between the overall barriers and the proton affinity (PA) of X(-); instead, discernible linear correlations only exist for the X's within the same group of the periodic table. Similar correlations are also found with the electronegativity of central atoms in X, deformation energy of the E2 transition state (TS), and the overall enthalpy of reaction. It is revealed that the electronegativity will significantly affect the barrier height, and a more electronegative X will stabilize the E2 and SN2 transition states. Multiple linear regression analysis shows that there is a reasonable linear correlation between E2 (or SN2) overall barriers and the linear combination of PA of X(-) and electronegativity of the central atom.

16.
J Comput Chem ; 29(3): 466-80, 2008 Feb.
Artigo em Inglês | MEDLINE | ID: mdl-17663440

RESUMO

The detailed hydration mechanism of carbonyl sulfide (COS) in the presence of up to five water molecules has been investigated at the level of HF and MP2 with the basis set of 6-311++G(d, p). The nucleophilic addition of water molecule occurs in a concerted way across the C==S bond of COS rather than across the C==O bond. This preferential reaction mechanism could be rationalized in terms of Fukui functions for the both nucleophilic and electrophilic attacks. The activation barriers, DeltaH( not equal) (298), for the rate-determining steps of one up to five-water hydrolyses of COS across the C==S bond are 199.4, 144.4, 123.0, 115.5, and 107.9 kJ/mol in the gas phase, respectively. The most favorable hydrolysis path of COS involves a sort of eight-membered ring transition structure and other two water molecules near to the nonreactive oxygen atom but not involved in the proton transfer, suggesting that the hydrolysis of COS can be significantly mediated by the water molecule(s) and the cooperative effects of the water molecule(s) in the nonreactive region. The catalytic effect of water molecule(s) due to the alleviation of ring strain in the proton transfer process may result from the synergistic effects of rehybridization and charge reorganization from the precoordination complex to the rate-determining transition state structure induced by water molecule. The studies on the effect of temperature on the hydrolysis of COS show that the higher temperature is unfavorable for the hydrolysis of COS. PCM solvation models almost do not modify the calculated energy barriers in a significant way.


Assuntos
Modelos Químicos , Óxidos de Enxofre/química , Água/química , Catálise , Hidrólise , Modelos Moleculares , Conformação Molecular , Temperatura
17.
J Chem Phys ; 127(15): 154302, 2007 Oct 21.
Artigo em Inglês | MEDLINE | ID: mdl-17949144

RESUMO

The ionization energies (IEs) for the 1-methylallyl, 2-methylallyl, cyclopropylmethyl, and cyclobutyl radicals have been calculated by the wave function based ab initio CCSD(T)/CBS approach, which involves the approximation to the complete basis set (CBS) limit at the coupled cluster level with single and double excitations plus quasiperturbative triple excitation [CCSD(T)]. The zero-point vibrational energy correction, the core-valence electronic correction, and the scalar relativistic effect correction are included in these calculations. The present CCSD(T)/CBS results are then compared with the IEs determined in the photoelectron experiment by Schultz et al. [J. Am. Chem. Soc. 106, 7336 (1984)] The predicted IE value (7.881 eV) of 2-methylallyl radical is found to compare very favorably with the experimental value of 7.90+/-0.02 eV. Two ionization transitions for cis-1-methylallyl and trans-1-methylallyl radicals have been considered here. The comparison between the predicted IE values and the previous measurements shows that the photoelectron peak observed by Schultz et al. likely corresponds to the adiabatic ionization transition for the trans-1-methylallyl radical to form trans-1-methylallyl cation. Although a precise IE value for the cyclopropylmethyl radical has not been directly determined, the experimental value deduced indirectly using other known energetic data is found to be in good accord with the present CCSD(T)/CBS prediction. We expect that the Franck-Condon factor for ionization transition of c-C4H7-->bicyclobutonium is much less favorable than that for ionization transition of c-C4H7-->planar-C4H7+, and the observed IE in the previous photoelectron experiment is likely due to the ionization transition for c-C4H7-->planar-C4H7+. Based on our CCSD(T)/CBS prediction, the ionization transition of c-C4H7-->bicyclobutonium with an IE value around 6.92 eV should be taken as the adiabatic ionization transition for the cyclobutyl radical. The present study provides support for the conclusion that the CCSD(T)/CBS approach with high-level energetic corrections can be used to provide reliable IE predictions for C4 hydrocarbon radicals with an uncertainty of +/-22 meV. The CCSD(T)/CBS predictions to the heats of formation for the aforementioned radicals and cations are also presented.


Assuntos
Carbono/química , Físico-Química/métodos , Hidrogênio/química , Íons , Cátions , Simulação por Computador , Elétrons , Radicais Livres/química , Hidrocarbonetos/química , Luz , Modelos Químicos , Conformação Molecular , Estrutura Molecular , Distribuição Normal , Termodinâmica
19.
J Phys Chem A ; 111(39): 9838-47, 2007 Oct 04.
Artigo em Inglês | MEDLINE | ID: mdl-17845012

RESUMO

In this work, the geometries, harmonic vibrational frequencies, and high-energy density material (HEDM) properties of a novel species and its six derivatives with the general formula C14N12-R6 (R = H, OH, F, CN, N3, NH2, and NO2) have been investigated at the restricted and unrestricted B3LYP/cc-pVDZ levels of theory. Natural bond orbital (NBO), natural orbital (NO), and atoms in molecules (AIM) analyses are applied to examine their electronic topologies. It is found that for the four species of R = H, CN, N3, and NO2, (1) there exist high LUMO occupation numbers, (2) there is considerable spin density congregated on the two central carbon atoms, (3) there exists through space interaction (or intramolecular interaction, which is one of the stabilizing factors of a diradicaloid) between the two central carbon atoms, (4) the distance (about 3 A) between the two central carbon atoms (as the apexes of two trigonal pyramids with their bases facing each other) is suitable and favorable for diradical formation. All the results support that these four species are diradicals or diradicaloids. Furthermore, the appreciable singlet-triplet energy gaps indicate that these four diradicals tend to have a singlet ground state. There is a moderate HOMO-LUMO gap (on the order of 1.5 to 2.1 eV) for these four species. These four singlet diradicals may be novel organic semiconductor materials or nonlinear optical materials. On the other hand, the remaining three species, with R = OH, F, and NH2, are not diradicaloids.


Assuntos
Carbono/química , Radicais Livres , Nitrogênio/química , Cátions , Química Orgânica/métodos , Físico-Química/métodos , Cianetos/química , Hidrogênio/química , Ligação de Hidrogênio , Modelos Químicos , Modelos Moleculares , Conformação Molecular , Estrutura Molecular , Óxido Nítrico/química
20.
Langmuir ; 23(21): 10448-54, 2007 Oct 09.
Artigo em Inglês | MEDLINE | ID: mdl-17854213

RESUMO

The electrical potential in a closed surface such as a cavity containing counterions only is derived for the cases of constant surface potential and constant surface charge density. The results obtained have applications in, for example, microemulsion-related systems in which ionic surfactants are introduced to maintain the stability of a dispersion and electroosmotic flow-related analysis. An analytical expression for the electrical potential is derived for a planar slit, and the methodology used is modified to derive approximate analytical expressions for spherical and cylindrical cavities. The higher the surface potential, the better the performance of these expressions. For the case where the surface potential is above ca. 50 mV, the performance of the approximate analytical expressions can further be improved by multiplying a correction function.


Assuntos
Eletricidade , Emulsões
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