Electrostatic charge-charge and dipole-dipole interactions near the surface of a medium with screening non-locality (Review Article)

Gabovich, A. M.; Войтенко, А. И.

doi:10.1063/1.4960496

Cited by 8 publications

(11 citation statements)

References 96 publications

(183 reference statements)

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“… We find that the ligands should be tilted by ∼70°–40° from the direction normal to the surface (see the Supporting Information for estimation), so varies between 20° and 50°. Using these angles as starting values we can estimate both the attractive and repulsive terms (see the Supporting Information for details), and we find a general agreement between the calculation (Figure a, dashed line) and our data (Figure a, triangles) with slightly adjusted tilt angles (Figure S6).…”

Section: Resultssupporting

confidence: 78%

Designing Janus Ligand Shells on PbS Quantum Dots using Ligand–Ligand Cooperativity

et al. 2019

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We present a combined experimental and theoretical study of ligand–ligand cooperativity during X-type carboxylate-to-carboxylate ligand exchange reactions on PbS quantum dot surfaces. We find that the ligand dipole moment (varied through changing the substituents on the benzene ring of cinnamic acid derivatives) impacts the ligand-exchange isotherms; in particular, ligands with large electron withdrawing character result in a sharper transition from an oleate-dominated ligand shell to a cinnamate-dominated ligand shell. We developed a two-dimensional lattice model to simulate the ligand-exchange isotherms that accounts for the difference in ligand binding energy as well as ligand–ligand cooperativity. Our model shows that ligands with larger ligand–ligand coupling energy exhibit sharper isotherms indicating an order–disorder phase transition. Finally, we developed an anisotropic Janus ligand shell by taking advantage of the ligand–ligand cooperative ligand exchanges. We monitored the Janus ligand shell using 19F nuclear magnetic resonance, showing that when the ligand–ligand coupling energy falls within the order region of the phase diagram, Janus ligand shells can be constructed.

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Section: Resultssupporting

confidence: 78%

Designing Janus Ligand Shells on PbS Quantum Dots using Ligand–Ligand Cooperativity

et al. 2019

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“…In Appendix A, the general solution of the problem in terms of Green's functions is presented. However, no analytical results were obtained in the general case (see [6,11,15,43] and the references therein), whereas the computational efforts to obtain illustrative and useful results were substantial. Our current treatment is carried out in the framework of a much simpler classical electrostatic model (the CDP one), when the spatial dispersion of the dielectric functions ε(k, ω)s is neglected, i.e., ε i (k, ω) = ε i (0, ω) for each ith medium.…”

Section: Formulation Of the Problem And Preliminary Remarksmentioning

confidence: 99%

“…Theoretical papers devoted to the problem can be grouped according to: (i) the number of layers in the system (two, three, or the infinite number); or (ii) which interaction is considered. The latter means either the test-charge (in rare cases, test-dipole) electrostatic self-energy arising due to the existence of interface(s) between the media with different dielectric permittivities, which is usually called the image force energy [25][26][27][28][29][30][31][32][33], or the interaction energy between the charges (or dipoles) located in the same layer or in different layers [6,8,[34][35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Electrostatic Interaction of Point Charges in Three-Layer Structures: The Classical Model

Gabovich

Войтенко

2019

Condensed Matter

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Electrostatic interaction energy W between two point charges in a three-layer plane system was calculated on the basis of the Green’s function method in the classical model of constant dielectric permittivities for all media involved. A regular method for the calculation of W ( Z , Z ′ , R ) , where Z and Z ′ are the charge coordinates normal to the interfaces, and R the lateral (along the interfaces) distance between the charges, was proposed. The method consists in substituting the evaluation of integrals of rapidly oscillating functions over the semi-infinite interval by constructing an analytical series of inverse radical functions to a required accuracy. Simple finite-term analytical approximations of the dependence W ( Z , Z ′ , R ) were proposed. Two especially important particular cases of charge configurations were analyzed in more detail: (i) both charges are in the same medium and Z = Z ′ ; and (ii) the charges are located at different interfaces across the slab. It was demonstrated that the W dependence on the charge–charge distance S = R 2 + Z − Z ′ 2 differs from the classical Coulombic one W ∼ S − 1 . This phenomenon occurs due to the appearance of polarization charges at both interfaces, which ascribes a many-body character to the problem from the outset. The results obtained testify, in particular, that the electron–hole interaction in heterostructures leading to the exciton formation is different in the intra-slab and across-slab charge configurations, which is usually overlooked in specific calculations related to the subject concerned. Our consideration clearly demonstrates the origin, the character, and the consequences of the actual difference. The often used Rytova–Keldysh approximation was analyzed. The cause of its relative success was explained, and the applicability limits were determined.

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“…The calculation of the actual charge-to-charge interaction in a medium bordering another one is a continual problem of surface science [3,[18][19][20][21][22][23][24][25][26]. The electrostatic contribution is an important factor, which affects various ion-adsorbate structures arising at the interface between those media and their response to external perturbations [27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

The ‘non-Coulombic’ character of classical electrostatic interaction between charges near interfaces

Gabovich

Войтенко

2018

Eur. J. Phys.

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The textbook problem of classical electrostatics concerning the charge–charge interaction energy W in a two-layer system is revisited. In particular, the actual dependence of W on the horizontal distance L between the charges located at the same distance x from the interface is shown to substantially differ from the original Coulomb law due to image charges. The deviations are governed by the ratio L/x and the ratio between the dielectric constants of adjacent media. Thus, the dependence W(L) is never conventionally Coulombic (∼L−1) and may even be close to a dipole–dipole one (∼L−3). Although these results are implicitly contained in the well-known formulas, they are often overlooked while teaching electrostatics. The results are of interest not only from a purely academic viewpoint but are important for modern surface science, where the electrostatic contribution to the ion–ion interaction is often treated as Coulombic without any reservations.

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Electrostatic charge-charge and dipole-dipole interactions near the surface of a medium with screening non-locality (Review Article)

Cited by 8 publications

References 96 publications

Designing Janus Ligand Shells on PbS Quantum Dots using Ligand–Ligand Cooperativity

Designing Janus Ligand Shells on PbS Quantum Dots using Ligand–Ligand Cooperativity

Electrostatic Interaction of Point Charges in Three-Layer Structures: The Classical Model

The ‘non-Coulombic’ character of classical electrostatic interaction between charges near interfaces

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