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Time-dependent partitioning technique

Using familiar operator relations of the time dependent partitioning technique, see again e.g. Ref. [15] for a recent review, we obtain... [Pg.7]

From Eq. 1.9 the formulas of the time-dependent partitioning technique follows straightforwardly... [Pg.7]

In the literature a different technique has been widely used to construct effective Hamiltonians, based on the partitioning technique combined with an approximation procedure known as adiabatic elimination for the time-dependent Schrodinger equation (see Ref. 39, p. 1165). In this section we show that the effective Hamiltonian constructed by adiabatic elimination can be recovered from the above construction by choosing the reference of the energy appropriately. Moreover, our stationary formulation allows us to estimate the order of the neglected terms and to improve the approximation to higher orders in a systematic way. [Pg.184]

It is usual to normalize the time dependent wavefunction v (0> which means that t//(z) obtained from partitioning technique as a result is not. Since we are primarily interested in the case E oxc we will take the limits J(z) 0, obtaining the dispersion relations... [Pg.6]

The retention times of test solutes are correlated with reference compounds whose partition coefficients in octanol/water (Kow) are known The reliability of this technique depends on the extent to which the stationary and mobile phases simulate the octanol/water system... [Pg.253]

Mucci and Morse (1983) found no statistically significant dependence of the partition coefficient for Mg in calcite precipitated from seawater on reaction rate over a range of seawater supersaturations from about one half ( 2 =3) to close to three times ( 2=17) that of typical surface seawater. However, their experiments had durations of from only a few hours to days. The compositions of magnesian calcites grown very near equilibrium ( 2=1.2) over periods of several months were determined by Mucci et al. (1985). They found excellent agreement with the results of Mucci and Morse (1983) even though different experimental techniques were used. The rate independence of the partition coefficient of Mg in calcite, therefore, has been found to be independent of reaction rate over about 12 orders of magnitude in seawater. [Pg.96]

Early experiments in liquids were quite variable for many reasons. The conductivity technique, which was used in the gas phase to measure dose, was not applicable to the liquid phase. Reactions were measured using dissolved radium salts or radon gas as the ionization source. Some thought the chemistry was due to the reactions with radium however, it was soon recognized that it was the emitted rays that caused the decomposition. Both radium and radon could cause radiation damage. Because the radon would be partitioned between the gas and liquid phase, the amount of energy that was deposited in the liquid depended critically on the experimental conditions such as the pressure and amount of headspace above the liquid. In addition, because the sources were weak, long irradiation times were necessary and products, such as hydrogen peroxide, could decompose. [Pg.5]

By contrast, some techniques obviously depend on diflFerent physical eflEects to achieve separation. An Rf value obtained by paper chromatography would not be expected to correspond to a retention time on a GLC column since the former depends on partition and the latter, largely. [Pg.154]


See other pages where Time-dependent partitioning technique is mentioned: [Pg.33]    [Pg.88]    [Pg.90]    [Pg.33]    [Pg.33]    [Pg.88]    [Pg.90]    [Pg.33]    [Pg.38]    [Pg.317]    [Pg.158]    [Pg.283]    [Pg.12]    [Pg.141]    [Pg.279]    [Pg.266]    [Pg.466]    [Pg.70]    [Pg.303]    [Pg.147]    [Pg.75]    [Pg.52]    [Pg.2042]    [Pg.187]    [Pg.572]    [Pg.572]    [Pg.102]    [Pg.130]    [Pg.234]    [Pg.302]    [Pg.170]    [Pg.69]    [Pg.25]    [Pg.26]    [Pg.579]    [Pg.483]    [Pg.844]    [Pg.401]    [Pg.310]    [Pg.115]    [Pg.189]    [Pg.165]    [Pg.146]    [Pg.80]    [Pg.308]    [Pg.228]   
See also in sourсe #XX -- [ Pg.88 , Pg.89 , Pg.90 ]




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Partition technique

Partitioning technique

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