Analog data plot

Figures 11.9 to 11.14 illustrate some of the previously discussed functions plotted linearly versus pressure (Figs 11.9a to 11.14a) and logarithmically versus radius (Figs 11.9b to 11.14b), such that each decade of pore radius assumes a uniform interval. A mixture of porous glasses was used as the sample and the data was obtained on a Quantachrome Autoscan-60 porosimeter. An associated Autoscan computer was used to reduce the data and produce the plots of the various functions on an X-Y recorder. Each plot contains approximately 750 data points and as a result, appears continuous. The volume versus pressure curve. Fig. 11.9a, is composed of analog data produced directly from the porosimeter.

The literature mentions analogous data for a number of other polymers, which will not be discussed here. When plotted in a 5h-5v-diagram, they generally show the same type of... 

The use of data plotting can vary widely. From a researcher trying to display an acquired analog signal to response surface plot that might be used a... 

Gray (39) developed a program which accepts the DSC sample and baseline data, matches the isothermal, performs cumulative and total area integrations in units of cal/g, corrects the temperature for thermal lag, and tabulates and plots ordinate values in specific-heat units as well as cumulative area in enthalpy units. The analog data from the DSC instrument are digitized and transferred to paper tape with the use of the Perkin-Eimer ADS VI Analytical Data System for Thermal Analysis. The data are digitized every two seconds or every 0.133°. A computer plotter then plots the DSC curve and also the cumulative peak area in specific enthalpy units, cal/g. 

One does not need a road map to conclude that it is possible in most instances of simple-order reactions to evaluate both order(s) and rate parameter(s) by plotting a suitable linearized form of the particular rate law it is desired to test. For example, to test for first-order, irreversible kinetics, one would plot, according to equation (1-35), -ln(CA/CAo) versus time. If these kinetics are obeyed, the concentration data plot will be linear with a slope of k. Similarly, a second-order test according to equation (1-42) would require a plot of —ln[(CA/CAo)(CBo/CB)] versus time, yielding a straight line of slope (Cbo — Cao) - Analogous forms employing the conversion can also be used in all cases. 

To further characterize the selectivity of carbene CXY, we can compare its discrimination between the olefins of the standard set with that of CCI2, which we designate the standard carbene. We plot the logarithms of the relative reactivities for CXY against analogous data for CCI2 (with the relative reactivities all adjusted to the standard alkene, isobutene, = 1.00), and then determine the slope of the correlation line, Wcxy- We call m xy the carbene selectivity index, defined as the least-squares slope of log (V o)cxy s. log (kJk QQX. [8,9,16,17] The m xv values for the carbenes of Table 1, determined in this manner, are m p = 1.48 mcci, 1-00 (by definition), and m Br, 0-65. 

Further, a similarity was observed between these data plotted using the modified Stern-Volmer equation and the Lineweaver-Burk plot derived from the substrate activity curve for an allosteric enzyme (12). Therefore, by the analogy of curve behavior and related equations, we... 

Many functions, such as electron density, spin density, or the electrostatic potential of a molecule, have three coordinate dimensions and one data dimension. These functions are often plotted as the surface associated with a particular data value, called an isosurface plot (Figure 13.5). This is the three-dimensional analog of a contour plot. 

If the data fit this model, a plot of 1/F0 versus 1/(S0) should be linear with a slope K/Vmax and intercept l/Vmax. It is analogous to that used in determining the constants in the Langmuir equation for adsorption on solid surfaces. Other forms that may be used to prepare linear plots are... 

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