Temperature dependence of the double layer capacitance for the restricted primitive model of an electrolyte solution from a density functional approach

Reszko-Zygmunt, Joanna; Sokołowski, S.; Henderson, Douglas; Boda, Dezső

doi:10.1063/1.1850453

Cited by 84 publications

(77 citation statements)

References 31 publications

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“…In addition, nonaqueous low concentration experimental systems can exhibt this behavior [7]. In the past few years, this anomalous behavior has been found in some of the better theories [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…In other words, the PB/GCS theory possibly satisfies equation (8) in a selfconsistent sense with a = a PB = 1 but the HNC/MSA does not satisfy equation (8) in any sense. Since there is a close connection between the PB/GCS and HNC/MSA approximations, it is probably best to say that neither theory satisfies equation (8) and that neither theory can predict the capacitance anomaly. It is known that the PB/GCS theory does not predict the capacitance anomaly [5].…”

Section: Theoretical Preliminariesmentioning

confidence: 99%

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Application of a recently proposed test to the hypernettedchain approximation for the electric double layer

Henderson¹,

Alawneh²,

Saavedra-Barrera³

et al. 2007

Condens. Matter Phys.

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Bhuiyan, Outhwaite, and Henderson, J. Electroanal. Chem., 2007, 607, 54, have studied the electric double layer formed by a symmetric electrolyte in the restricted primitive model and suggested that an examination of the product of the coion and counterion profiles, normalized to the one when the distance of an ion from the electrode is large, is an interesting and useful test of a theory. This product is identically one in the PoissonBoltzmann theory but simulation results show that, at contact, this product can be greater or smaller than one at small electrode charge but always seems to tend to zero at large electrode charge. In this study we report the results of the hypernetted chain approximation (HNC/MSA version) for this product and find that, at contact, for this theory this product is always greater than the one at small electrode charge but tends to zero at large electrode charge.

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Section: Introductionmentioning

confidence: 99%

Section: Theoretical Preliminariesmentioning

confidence: 99%

Application of a recently proposed test to the hypernettedchain approximation for the electric double layer

Henderson¹,

Alawneh²,

Saavedra-Barrera³

et al. 2007

Condens. Matter Phys.

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show abstract

“…In our previous works [16][17][18][19][20] we have proposed and applied the approach that uses nonuniform fluid weighted densities as the reference state and the free energy functional for the residual contribution from the MSA energy route for the bulk equation of state. 21,22 This development can be called "an energy route MSA-based solution."…”

Section: Introductionmentioning

confidence: 99%

Electric double layer capacitance of restricted primitive model for an ionic fluid in slit-like nanopores: A density functional approach

Pizio

Sokołowski

Sokołowska

2012

The Journal of Chemical Physics

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We apply recently developed version of a density functional theory [Z. Wang, L. Liu, and I. Neretnieks, J. Phys.: Condens. Matter 23, 175002 (2011)] to study adsorption of a restricted primitive model for an ionic fluid in slit-like pores in the absence of interactions induced by electrostatic images. At present this approach is one of the most accurate theories for such model electric double layers. The dependencies of the differential double layer capacitance on the pore width, on the electrostatic potential at the wall, bulk fluid density, and temperature are obtained. We show that the differential capacitance can oscillate as a function of the pore width dependent on the values of the above parameters. The number of oscillations and their magnitude decrease for high values of the electrostatic potential. For very narrow pores, close to the ion diameter, the differential capacitance tends to a minimum. The dependence of differential capacitance on temperature exhibits maximum at different values of bulk fluid density and applied electrostatic potential.

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“…When heating from Tc to Th (step 2) and discharging at Th (step 3), the Vcell increases as a result of CDLE but the temperature rise also enhances the charge leakage due to the self-discharge in the EDL, which is driven by two mechanisms. In the electrolyte, the ions tend to move away from the electrode to increase their solvation (Reszko-Zygmunt et al, 2005;Fletcher et al, 2010;Andreas, 2015). In the carbon electrode, the base potential of each charged electrode (φTc + , φTc − ) tends to come back to their self potential (Brogioli, 2009;Brogioli et al, 2012).…”

Section: Resultsmentioning

confidence: 99%

Thermal Capacitive Electrochemical Cycle on Carbon-Based Supercapacitor for Converting Low-grade Heat to Electricity

Wang

Feng

2017

Front. Mech. Eng.

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It is a great challenge to efficiently convert low-grade heat (<100°C) to electricity. Currently available heat-to-current converters, such as thermoelectric generators, operating in a low-grade heat regime reach efficiencies no higher than a few percent (<3%). Herein, we illustrated a thermal capacitive electrochemical cycle (TCEC) using electrochemical cell, where the connection to the hot or cold reservoirs alternates in a cyclic chargingheating-discharging-cooling mode to convert heat into electricity, which performs as an electrochemical heat engine. TCEC technology is a cost-effective method for exploiting the temperature-dependent electrostatic potential in an electric double layer (EDL) at carbon electrode/electrolyte interfaces; it produces net electricity by altering the EDL thickness via heating and cooling. In this paper, TCEC on supercapacitor was confirmed on commercial supercapacitor, which showed a poor conversion efficiency. To improve the performance, we redesigned the cell by employing the pouch cell setup with activated carbon as electrode materials and homemade temperature controlling system, which boosted the efficiency from 0.5% of commercial supercapacitor to 3.05% when cycling between 10 and 65°C. A higher efficiency of 3.95% could be reached by using microwaved exfoliated graphene nanosheets (MEG) and nitric acid-treated MEG, which could help in decreasing the energy loss caused by charge leakage.

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Temperature dependence of the double layer capacitance for the restricted primitive model of an electrolyte solution from a density functional approach

Cited by 84 publications

References 31 publications

Application of a recently proposed test to the hypernettedchain approximation for the electric double layer

Application of a recently proposed test to the hypernettedchain approximation for the electric double layer

Electric double layer capacitance of restricted primitive model for an ionic fluid in slit-like nanopores: A density functional approach

Thermal Capacitive Electrochemical Cycle on Carbon-Based Supercapacitor for Converting Low-grade Heat to Electricity

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