Calculation of interfacial tensions

Mersmann, Alfons

doi:10.1016/0022-0248(90)90850-k

Cited by 244 publications

(202 citation statements)

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“…A key factor in the use of Kevin's Law is the solution-solid interfacial energy, c . This a difficult parameter to evaluate experimentally during the dynamic situation of precipitation and crystal growth and according Mersmann [1] it varies during a precipitation reaction. Mersmann developed an approach to calculate c 0 from the concentration of ions in solution [1].…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…This a difficult parameter to evaluate experimentally during the dynamic situation of precipitation and crystal growth and according Mersmann [1] it varies during a precipitation reaction. Mersmann developed an approach to calculate c 0 from the concentration of ions in solution [1]. However the different species in solution (Table S1) were not taken into account in this approach and we have modified the approach to rectify this situation (S1.5).…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…Interfacial energies calculated with the Mersmann-Eble [1,22] approach (Eq. (S1.19)) are usually higher than those reported in the literature.…”

Section: Solubility and Interfacial Energymentioning

confidence: 99%

“…For a solid-liquid or solid-solid interface the more general term interfacial energy is preferred. For a deeper understanding of the interaction between the solution chemistry and the interfacial energy, two different models are generally proposed [1][2][3]. The classical approach relates the induction time for nucleation for a specific precipitation reaction to the interfacial energy using experimental data [2].…”

Section: Introductionmentioning

confidence: 99%

“…One of the limitations of this approach is that crystal solution interfacial energies are only evaluated for the early stages of reaction. The second approach [1] is based on the chemical potential equilibrium between the solution, interface and crystal. This leads to a simple relationship between the concentrations of the species in solution and the interfacial energy of the ionic crystal under investigation.…”

Section: Introductionmentioning

confidence: 99%

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A thermodynamic solution model for calcium carbonate: Towards an understanding of multi-equilibria precipitation pathways

Donnet

Bowen

Lemaître

2009

Journal of Colloid and Interface Science

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a b s t r a c tThermodynamic solubility calculations are normally only related to thermodynamic equilibria in solution. In this paper, we extend the use of such solubility calculations to help elucidate possible precipitation reaction pathways during the entire reaction. We also estimate the interfacial energy of particles using only solubility data by a modification of Mersmann's approach. We have carried this out by considering precipitation reactions as a succession of small quasi-equilibrium states. Thus possible equilibrium precipitation pathways can be evaluated by calculating the evolution of surface charge, particle size and/ or interfacial energy during the ongoing reaction. The approach includes the use of the Kelvin's law to express the influence of particle size on the solubility constant of precipitates, the use of Nernst's law to calculate surface potentials from solubility calculations and relate this to experimentally measured zeta potentials. Calcium carbonate precipitation and zeta potential measurements of well characterised high purity calcite have been used as a model system to validate the calculated values. The clarification of the change in zeta potential on titration illustrates the power of this approach as a tool for reaction pathway prediction and hence knowledge based tailoring of precipitation reactions.

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Section: Theoretical Methodsmentioning

confidence: 99%

Section: Theoretical Methodsmentioning

confidence: 99%

“…Interfacial energies calculated with the Mersmann-Eble [1,22] approach (Eq. (S1.19)) are usually higher than those reported in the literature.…”

Section: Solubility and Interfacial Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A thermodynamic solution model for calcium carbonate: Towards an understanding of multi-equilibria precipitation pathways

Donnet

Bowen

Lemaître

2009

Journal of Colloid and Interface Science

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Determination of Nucleation Parameters of YBCO from High Temperature Solution

Paul

Thamizhavel

Subramanian

1999

Cryst. Res. Technol.

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Cryst. Res. Technol. 341999 4 503-508The growth kinetics of YBCO single crystal from high temperature solution of YBCO-BaO/CuO solute-solvent system has been studied. Based on regular solution model and classical nucleation theory the thermodynamical data investigated for the system are used to determine the nucleation parameters: interfacial energy, metastable zone-width (supercooling temperature), free energy change, critical nucleation radius etc. which leads to the understanding of the nucleation phenomena of YBCO.keywords: YBCO, superconductor, interfacial energy, metastable zone width.

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