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Monotonic decreasing

Figure A2.5.6 shows a series of typical p, Fisothemis calculated using equation (A2.5.1). (The temperature, pressure and volume are in reduced units to be explained below.) At sufficiently high temperatures the pressure decreases monotonically with increasing volume, but below a critical temperature the isothemi shows a maximum and a minimum. Figure A2.5.6 shows a series of typical p, Fisothemis calculated using equation (A2.5.1). (The temperature, pressure and volume are in reduced units to be explained below.) At sufficiently high temperatures the pressure decreases monotonically with increasing volume, but below a critical temperature the isothemi shows a maximum and a minimum.
The electron distribution, p(r), has been computed by quantum mechanics for all neutral atoms and many ions and the values off(Q), as well as coefficients for a useful empirical approximation, are tabulated in the International Tables for Crystallography vol C [2]. In general,is a maximum equal to the nuclear charge, Z, lor Q = 0 and decreases monotonically with increasing Q. [Pg.1363]

This expression is plotted in Fig. 6.7 for several large values of p. Although it shows a number distribution of polymers terminated by combination, the distribution looks quite different from Fig. 5.5, which describes the number distribution for termination by disproportionation. In the latter Nj,/N decreases monotonically with increasing n. With combination, however, the curves go through a maximum which reflects the fact that the combination of two very small or two very large radicals is a less probable event than a more random combination. [Pg.386]

The important fact is that the number of collisions Zr increases with temperature. It may be attributed to the effect of attraction forces. They accelerate the molecule motion along the classical trajectories favouring more effective R-T relaxation. This effect becomes relatively weaker with increase of temperature. As a result the effective cross-section diffusion model in [186] (solid line) but by classical trajectory calculations (dotted and broken lines) as well. At temperatures above 300 K both theoretical approaches are in satisfactory mutual agreement whereas some other approaches used in [224, 225] as well as SCS with attraction forces neglected [191] were shown to have the opposite temperature dependence for Zr [191]. Thus SCS results with a... [Pg.176]

Polymerization temperature is one of the most important parameters in both scientific and technological senses. A series of polymerizations were carried out with cat(2,4-Me)/EAS system over a temperature range between 10 and 70 °C and the results are summarized in Table 1. The catalyst system showed only negligible activity at 10 °C and the highest activity at 50 °C. As the temperature increase, the molecular wd t decreases monotonously,... [Pg.875]

This function decreases monotonically with increasing vibrational quantum number n, and hence an inverted vibrational distribution can never be described with a temperature (except for degenerate vibrations). A P n) distribution that is thermal , or at least not inverted, is indicative of a well on the PES that is connected with little or no barrier to the product asymptote. [Pg.222]

According to Eq. (5) the most probable value of x occurs at x = 0. As X increases in magnitude, W(x) decreases monotonically from its maximum at x = 0, the decrease being the more rapid the smaller n. Eq. (5) obviously becomes invalid at values of x approaching nl W x) remains finite, though very small, according to Eq. (5) even for x>nlj where it necessarily is zero. [Pg.404]

The Gaussian function (7) is shown graphically in Fig. 77. The most probable location of one end of the chain relative to the other is at coincidence, i.e., at r = 0. The density, or probability, decreases monotonically with r, exactly as noted above for the one-dimensional case. Equation (7) likewise is unsatisfactory for values of r not much less than the full extension length nl. The extent of this limitation will be discussed presently. [Pg.405]

Optical band gap energies (Eg) for WOx-ZrOa samples calcined at 1073 K were obtained from UV-vis spectra using procedures based on direct and indirect transitions between valence and conduction bands [26]. Direct band gap energies (Eg[Pg.540]

The concoitradon of CHjNO decreased monotonically with temperature, but even at 800 °C a small concentration could be detected. The decrease could be due to unimolecular reactions, to biomolecular reactions with either CH,- or NO, or to a reverse reaction, CH3NO - CHj + NO. It is reasonable to assume that similar gas phase reactions would occur at much higher pressures however, we have not detected CH3NO during our catalytic experiments over the Sr/LajOj catalyst. Perhaps at much larger concentrations of NO the reaction CHjNO + NO - N O + CHjO- rapidly removes the nitrosomethane. [Pg.717]

Yeh and Reklaitis (1987) showed that the equipment cost of a production line decreases monotonically with the number of storage locations if the cost of intermediate storage and the time lost due to transfers to the storage vessels can be neglected. Of course, this is not true. [Pg.483]

The sequence of the innovation, gain vector, variance-covariance matrix and estimated parameters of the calibration lines is shown in Figs. 41.1-41.4. We can clearly see that after four measurements the innovation is stabilized at the measurement error, which is 0.005 absorbance units. The gain vector decreases monotonously and the estimates of the two parameters stabilize after four measurements. It should be remarked that the design of the measurements fully defines the variance-covariance matrix and the gain vector in eqs. (41.3) and (41.4), as is the case in ordinary regression. Thus, once the design of the experiments is chosen... [Pg.580]

The NSE does give, however, a good general idea of the performance of the network and is therefore commonly used during the training session. In Fig. 44.15a a performance curve is shown. The NSE decreases monotonically with the number... [Pg.674]

In a binary separation, the highest purity of integrated permeate occurs at 0 = 0. Purity decreases monotonically until it reaches the feed purity at 0 = 1. In a ternary system, the residue concentration of the gas with the intermediate permeability will reach a maximum at some intermediate stage cut. [Pg.61]

Frequency methods can give us the relative stability (the gain and phase margins). In addition, we could construct the Bode plot with experimental data using a sinusoidal or pulse input, i.e., the subsequent design does not need a (theoretical) model. If we do have a model, the data can be used to verify the model. However, there are systems which have more than one crossover frequency on the Bode plot (the magnitude and phase lag do not decrease monotonically with frequency), and it would be hard to judge which is the appropriate one with the Bode plot alone. [Pg.169]

Capillary SDS-Sieving Electrophoresis In the presence of a sieving matrix, mobility decreases monotonically with molecular weight for SDS-complexed proteins. This relationship is the basis of SDS-PAGE separation of proteins. [Pg.350]


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See also in sourсe #XX -- [ Pg.28 ]




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