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Thermo-potential

Let us underline some similarities and differences between a field theory (FT) and a density functional theory (DFT). First, note that for either FT or DFT the standard microscopic-level Hamiltonian is not the relevant quantity. The DFT is based on the existence of a unique functional of ionic densities H[p+(F), p (F)] such that the grand potential Q, of the studied system is the minimum value of the functional Q relative to any variation of the densities, and then the trial density distributions for which the minimum is achieved are the average equihbrium distributions. Only some schemes of approximations exist in order to determine Q. In contrast to FT no functional integrations are involved in the calculations. In FT we construct the effective Hamiltonian p f)] which never reduces to a thermo-... [Pg.807]

Thermochemistry, 254, 507 Thermodynamic potentials, 99 Thermo-electric circuit, 450 inversion, 451 theories, 453 Thermometers, 3, 140, 166 Thermometry, 1, 353 Thomsen-Berthelot principle, 257, 506... [Pg.543]

These new sulfur bearing complexes can potentially be used as a thermo-switchable latent catalyst. [Pg.221]

Cell potential, 9 607-609 standard, 75 750 Cell Saver, 3 719 Cells, encapsulation of, 76 454 Cell sorting, microfluidics in, 26 971-972 Cell-specific dendritic carriers, 26 797 Cell targeting, dendrimers in, 26 797-798 Cell thermo stating, 73 426 Cellular components inducers, herbicide damage to, 73 297-298 Cellular damage, in aging, 2 810 Cellular diseases, yeast as a model for, 26 496-497... [Pg.155]

Conway et described the most convenient conditions defining standard chemical potentials for adsorption with solvent displacement. First, for n = 1, the conditions are the same as in binary solution thermo-... [Pg.36]

It is tempting to relate the thermodynamics of electron-transfer between metal atoms or ions and organic substrates directly to the relevant ionization potentials and electron affinities. These quantities certainly play a role in ET-thermo-dynamics but the dominant factor in inner sphere processes in which the product of electron transfer is an ion pair is the electrostatic interaction between the product ions. Model calculations on the reduction of ethylene by alkali metal atoms, for instance [69], showed that the energy difference between the M C2H4 ground state and the electron-transfer state can be... [Pg.15]

The PARROT programme uses the Poly-3 subroutine in Thermo-Calc to calculate Gibbs energies of the various phases and find the equilibrium state. In such equilibrium calculations the temperature, pressiue and chemical potentials are treated as independent variables, and preselected state variables are used to define the conditions for an equilibrium calculation. The dependent state variables, i.e., the responses to the system, can then be given as a function of the independent state variable and the model parameters. It is thus possible to use almost any type of experimental information in the evaluation of the model parameters. [Pg.310]

Although there exists a concentration gradient of mercurous sulphate from the anode to the cathode it is unlikely that this causes an appreciable alteration in the electrical potential throughout the bulk of the electrolyte. Hence without serious error the applied E.M.F. V may be equated to the difference in the values of V at the two electrodes and since F at the unpolarisable electrode remains unaltered the variation of a with V is observed at the cathode. With the aid of thermo-dynamic reasoning, Lippmann deduced the relation... [Pg.210]

According to Gibbs, any constituent of a system in equilibrium must have the same thermo-dynamic potential in all the phases of which it is a component. Hence, when equilibrium has been established across an interface between a metal and an electrolyte containing its ions, the thermo-d3mamic potential f Me iona of the metallic ions must be the same in both. In general the thermodynamic potential of a constituent which is electrically neutral may be said to depend only on its concentration G and its environment, but if it is an ion the electrical potential of the ]... [Pg.215]

The thermoelectric effect is due to the gradient in electrochemical potential caused by a temperature gradient in a conducting material. The Seebeck coefficient a is the constant of proportionality between the voltage and the temperature gradient which causes it when there is no current flow, and is defined as (A F/A7) as AT- 0 where A Fis the thermo-emf caused by the temperature gradient AT it is related to the entropy transported per charge carrier (a = — S /e). The Peltier coefficient n is the proportionality constant between the heat flux transported by electrons and the current density a and n are related as a = Tr/T. [Pg.304]

Kim et al. used the exchange reaction to synthesize cross-linked AuNP-PNIPAM core-shell hybrid structures, as well as a brush-type AuNP/PNIPAM hybrid through surface-initiated ATRP in an aqueous medium. The disulfide initiators, [BrC (CH3)2COO(CH2)iiS]2, were bound to AuNPs synthesized by citrate reduction. They have studied the effect of cross-linking on the thermo-responsiveness of the AuN / PNIPAM hybrids for potential use as a stimuli responsive optical device, such as surface plasmon resonance-based sensing materials [91]. [Pg.150]


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See also in sourсe #XX -- [ Pg.146 ]




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