Four plot

As many as four plots are possible with colors red, green, blue and black. Each plot is scaled independent of the others and the colored labels identify the minimum and maximum of the plot and the name of the quantity being plotted. In addition to the values of X, the RMS deviation in x (Dx) can be plotted. The plot of Dx converges to the RMS deviation of x at the end of the run and represents the current value of the RMS deviation at any point in the plot. 

Thus for these reactions m is necessarily less than unity, a result that has now been widely observed in practice,117,118,120,161,180,181 and thus the m1 value offers a clear distinction between the A1 and A-SE2 mechanisms, which is not the case with the H0 correlations discussed above. A number of different excess acidity plots according to equation (56), covering a wide reactivity range, are shown in Fig. 9. These are for the hydration of oc-methylstyrene,120 equation (58), and the mechanistically similar hydration of phenylacetylene 118 for the isomerization of m-stilbene 120 and for the detritiation of tritiated benzene, equation (28) above."7 As can be seen, all four plots are good straight lines the references cited may be consulted for the details. The slopes look steep, but m values for carbon protonation approximate 1.8,36 and the nfi values are all calculated to be... 

Figure 4. The average change in the squared value of the classical orbital angular momentum ((A/. )) and the standard deviation of the A/. distribution

Fig. 7-2. Dependence of log (I/[NO]), for the reaction of H atoms with NO, on NO concentration at 294°K and 2.46 torr total pressure the four plots shown, each corresponding to a different reaction time, refer to observations made at each of the four inlet jets (from Clyne and Thrush106 with permission of the Faraday Society).

Each of the four plots in Figure 3.13 contains two graphs that of a solid line for the linear left-hand sides of equations (3.11) through (3.16) and that of the respective exponential function from the respective right-hand sides, in a dotted curve. The very shallow intersections in Figure 3.13 indicate the location of the multiple steady states of the given nonadiabatic CSTR system. 

On this figure 2, we see the four plots of the primordial abundances of 4He, D, 3He and 7Li as predicted by the standard model of Big Bang nucleosynthesis (Buries, Nollett Turner, 2001). We see also the boxes which indicate the observed fight elements ... 

Construct a plot of A340 versus time for each of the 10 glycogen phosphorylase reactions (A-J). Determine the slope of the line for each plot (A 340/min). It may be helpful to construct four plots for tubes B-J one graph will contain the data for tubes B and C, another will contain the data for tubes D and E, another will... 

Since there are but a limited number of values of c, namely 0.5, 1.0, 1.5, and 2.0, the four plots generalized in the above equation can be constructed the values of c, k and k" can be found from that plot which gives the best straight line. 

TPVT titrations of cis-[Co(en)2(H2O)2] and [Co(tren)(H20)2] gave similar results . The equilibrium constant of (12) was approximately 1 in these three ions, so that in dilute solutions (< 10" M) the tetrapositive, binuclear ions will be almost completely dissociated into dipositive hydroxoaqua ions. The last conclusion was confirmed by Feltham-Onsager plots of the equivalent conductance (at 0°C) versus the square-root of the concentration of four salts [Co(NH3)4(H20)(OH)](N03)2 Cr(NH3)4(H2O)(OH)]-(NO,), [Co(NH3)4(H2O)(OH)]Br2 = and [Cr(H2O)d(NO3)3 -F NaOH . The conductivity data were for solutions of concentrations between 10 and 10" M. At these concentrations the Feltham-Onsager plots are linear. All four plots had the typical slope of 1 2 electrolytes which was less than half of the slope of 1 4 electrolytes. 

Good linear plots were obtained when the degradation rates were plotted against the ambient temperature moisture contents (Fig. 5). It was Interesting to note that the plots Intersected the X axis substantially above the origin which Indicates a portion of the bound water is "inactive". The fact that all four plots Intersect the X axis at approximately the same point Is probably an artifact caused by assuming the moisture content was Identical for all the experimental conditions. 

Figure 9.19 Overview of the phase space and configuration space dynamics associated with the HCCH [JV = 22, l = 0] polyad. The top four plots are surfaces of section for four energies within the polyad. Only simple structures are found near the bottom (local bender) and top (counter-rotators) of the polyad. Chaos dominates at energies near the middle of the polyad, but two classes of stable trajectories coexist with chaos. The bottom four plots show the coordinate space motions of the left- and right-hand H-atoms that correspond to the two different periodic orbits (from Jacobson and Field, 2000b).

The four plots in Figure 6-23 reveal that absorption spectra vary widely in appearance some are made up of numerous sharp peaks, whereas others consist of smooth continuous curves, in general, the nature of a spectrum is influenced by such variables as the complexity, the physical stale, and the environment of the absorbing species. More fundamental, however, arc... 

Figure 7.27 shows four plots of pore volume distribution as a function of the pore diameters two plots were calculated from the desorption branch... 

In Figure 11.9 four plots comparing the otentials experienced by the test dipole in a Nafion membrane with A = 6 are shown. In (a) case (1) is considered with the test dipole placed at a distance of 2.6 A from the pore... 

The graph below shows the change in pressure as the temperature increases for a 1-mol sample of a gas confined to a 1-L container. The four plots correspond to an ideal gas and three real gases CO2, N2, and CI2. (a) At room temperature, all three real gases have a pressure less than the ideal gas. Which van der Waals constant, a or b, accounts for the influence intermolecular forces have in lowering the pressure of a real gas (b) Use the van der Waals constants in Table 10.3 to match the labels in the plot (A, B, and C) with the respective gases (CO2, N2, and CI2). [Section 10.9]... 

There is a wealth of information in Tables 1 and 2 and there are numerous ways in which the data could be presented. We have chosen to use four plots for this purpose (Fig. 1). In each of these plots we have considered one homologous series as the basis set (primary series) and then plotted, as a function of alkoxy chain length in this basis set, maximum mesophase-isotropic transition temperatures of binary mixtures of this primary series with selected members of the other (secondary) series - a short-, a medium- and a long-chained member of this second series. 

The experimental data are described in each of these four plots as being the red square symbols. This is significant because for each of the four solvents, one of the three isotherm equations nearly overlays the experimental data. 

The volumes are found from the first derivative plots by selecting the tallest or most clearly distinguished corresponding peaks in the four plots. 

Generally, in all four plots, there is a distinct increase in the amino acids and a decrease in shikimic and quinic acid, fructose, and glucose Sucrose increases somewhat Hhe three sterols are mostly unaffected by the treatments But there are also some well defined differences between the different herbicides For instance valine increases after the treatments with ACC inhibitors and decreases after the treatments with ALS inhibitors ... 

Figure 14.13. Same plot as Fig. 14.10 except for the addition of four plots at high [S] value ((S)) modeled as competitive inhibition by substrate. Intersects at 1/Vmax were constructed to arrive at four separate estimates of inhibition constant (Ki) based on the model in Eqs. (14.10) and (14.11). Original estimates of K and V ax WCTe based on the data used to construct the broken line plot, as in Fig. 14.10.

Fig. 3 is a compilation of sorption isotherms for the two Berea sandstones EV8 (Fig. 3a) and PHS (Fig. 3b), and the two carbonates Edvrards (GC) EGC and Lenders Limestone LL (Fig. 3c). Each of the four plots compares Hk sorption isotherm determined from the 3" sorption cycle, but for different initial exmditions (initially dry and initially water saturated). Apart from minor deviations, the 3 < le sorption isotherms were generally closely reproducible in terms of similarity of shape, the extent of the hysteresis loop, and the degree of water adsorbed at any given H,.

---