Semi-logarithmic plot

Solution of equation 6.4 is the now familiar exponential distribution which is linear in a semi-logarithmic plot In n L) versus L (Figure 6.11a)... 

FIG. 10 Micelle size distribution for H2T2 surfactants within the Larson model. The dashed lines show fits to the expected form for spherical micelles (main peak) and cylindrical micelles (tail). Inset shows the tail of the distribution on a semi-logarithmic plot to demonstrate the exponential decay predicted for the cylindrical micelles. (From Nelson et al. [120].)... 

Figure 63. Semi-logarithmic plot of the SSR (y-axis) vs. the concentration of Component 5 (x-axis) for each sample in A5.

Figure 5. Semi-logarithm plots of the fractional intensities of C2Hi+, C2H2+, and C2H + ions as functions of the pressure of C2Ht...

The temperature-factor parameter B and the scale factor k were determined by a least-squares procedure/ with observational equations set up in logarithmic form and with weights obtained from those in equation (9) by multiplying by (G (obs.))2. Since a semi-logarithmic plot of G2 (obs.)/Gf (calc.) against B showed a pronounced deviation from linearity for the last five lines, these lines were omitted from the subsequent treatments. They were much broader than the others, and apparently their intensities were underestimated. The temperature-factor parameter B was found by this treatment to have the value 1-47 A2. 

Fig. 6 Schematic representation of an Hg-drop LAJ incorporating SAMs of organic molecules of (a) alkanethiols, (b) oligophenylene thiols and (c) benzylic derivatives of oligophenylene thiols of different length formed on an Ag electrode, (d) Semi-logarithmic plot of measured current at applied bias I 0.5 V vs electrode gap flowing through the a, b, c interfaces...

Fig. 3 Semi-logarithmic plot of the volume-normalised time constant, rV> as a function of temperature. The data shows a linear dependence when xV is plotted as a function of l/[Tc(Tm - Tc)2] as is expected from classical nucleation theory (see inset). (Reprinted with permission from [84]. Copyright 2004 by the American Physical Society)...

It is not possible to measure Co since mixing is not instantaneous therefore, a semi-logarithmic plot is drawn and extrapolated back to the y axis in order to calculate this concentration. 

Fig. 21. Semi-logarithmic plots of the surface spin-lattice relaxation rates for ortho and para positions of pyridine as a function of the reciprocal temperature in porous sol-gel silica glasses. The surface rates are shown on the top and the rates in bulk pyridine are shown at the bottom 50).

In the continuous processing of discrete samples in the AutoAnalyzer system, the reaction-time is held constant by the manifold design, and because the rise-curve is exponential the degree of attainment of steady-state conditions is independent of concentration. Consequently it is unnecessary for the analytical reaction to proceed to completion for Beer s Law to be obeyed. This confers a considerable advantage upon the AutoAnalyzer approach and one which is frequently emphasized. The relationship between degree of attainment of steady state and IT,/, can be generaHzed in the semi-logarithmic plot of Fig. 2.16 [10], where time is expressed in units of IT,/,. 

Fig. 5.2 Descriptive pharmacokinetic parameters (a) plasma concentration-time plot and (b) semi-logarithmic plot.

The plasma elimination half-life can be determined from a semi-logarithmic plot of the plasma concentration-time plot (Figure 5.2b), following an intravenous dose, as the time taken for the plasma concentration to fall by 50%. The elimination half-life of some drugs is very short (seconds or minutes) whereas for others it may be very long (weeks). 

Fig. S. Semi-logarithmic plots of inactivation of Trichoderma reesei QM9414 cellobio-hydrolase I by the epoxides 37 (n = 1 - 3)...

A semi-logarithmic plot of the MIP membrane potential vs atrazine concentration increased linearly over the range of 3 (iM to 1 mM atrazine. The slope of this plot (i.e. sensitivity) was 25 mV per decade. The chemosensor response time of 10 s was remarkably short, and its stability extended over 2 months. 

Fig. 20. Semi-logarithmic plots showing the decay of Se(4 P0) in 25 torr Ar with added nitrogen...

In a semi-logarithmic plot of log Nt/N0 versus t, a single straight line is obtained in the case of the simple mechanism according to Eq. (5.73). In the case of sequential two-step deactivation, Eq. (5.75), two straight lines are obtained if the model is fitted well by the data. More complicated cases should not be treated by simple curve-fitting. 

Fig. 6.21 Semi-logarithmic plots of the absolute value of the current following potential steps solid) and linear regression fits to linear portions (dashed). Potential versus, sum of reduction, and oxidation rate constant kT (a) 0.0 V, 2.33 s (b) 0.323 V,276s 1 and (c) —0.577 V, 2980s. Reproduced with permission from [43]...

In order to determine the rate equation for hydrodesulfurization, a semi-logarithmic plot of the total sulfur content with time was made (Figure 2). The plot indicated two independent first-order reactions with greatly different rate constants. This is in agreement with the findings of Gates, et al. (7) and Pitts (3). A procedure similar to that of Pitts (3 ) was used to describe the hydrodesulfurization kinetics. The rate expression is given below ... 

The kinetics of the l-LA polymerization have been investigated in chloroform at 60 °C [81] Fig. 3 shows the semi-logarithmic plot of -ln([M]/[M]0) versus reaction time, t. [M]0 is the initial lactide monomer concentration and [M] the lactide concentration at a given reaction time t. 

Figure 8.7A Semi-logarithmic plot of the proton transverse relaxation functions recorded from 1,2 polybutadiene, at 348 K. Vinyl contents are %12 = 0.82 (curve a), 0.66 (curve b), 0.58 (curve c), 0.40 (curve d) and 0.22 (curve e)...

Figure 8.9 Semi-logarithmic plot of the proton transverse relaxation curve recorded from a silica-polydimethylsiloxane mixture. The sharp decrease is associated with the proton magnetisation of adsorbed monomeric units while the long time dependence corresponds to loops and trains of linked chains...

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