Three-dimensional perspective plotting

There still remains the problem of which ones of the four functions Z, M, Y, and e to plot in 3-D. Certainly, one should always plot the one of these that was directly measured. If, in addition, all four are plotted and examined, as a good general rule, emphasis should be put on the one (or ones) which show the most detail and cover the entire frequency range with best resolution. 

We shall illustrate the above by showing results for IS impedance data for a single-crystal Na )3-alumina with blocking gold electrodes, measured at T = 83K. These data (Almond and West [1981], Bruce et al. [1982]) were kindly provided by Dr. West [1983]. This set, and data for eight higher temperatures, have been reanalyzed with CNLS fitting (Macdonald and Cook [1984, 1985]). 

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Figure 10.2. Stacked plot rendering of computer-simulated spectra for an AB <=> A B exchanging system. [From A Simple Three Dimensional Perspective Plotting Program, by R. S. Macomber, Journal of Chemical Education, 53, 279 (1976). Reprinted by permission.]...

Figure 2a. Three-dimensional perspective plot of the Hansch equation describing pre-emergence activity of 4-sub stituted TFMS herbicides on Foxtail grass (no Tween 80 present)...

Three-dimensional perspective plots which show the relationships between tt, types examined. Herbicidal activity differences induced by surfactant addition to TFMS formulations are demonstrated by these plots. 

Figure 2. Two- and three-dimensional perspective plots of a scattering halo for the 107. HPC-L solution at 45°C.

J. R. Macdonald, J. Schoonman, and A. P. Lehnen [1981] Three Dimensional Perspective Plotting and Fitting of Immittance Data, Solid State Ionics 5, 137-140. 

Fig. 1. Three-dimensional perspective plot of the adiabatic potential energy surfaces of the double-sheeted ground electronic state of H3 in the (R,r) plane for 7 = tt/2, corresponding to the C 2v arrangements of the three nuclei. The contour line diagram is included in the base of the plot. The spacing between the successive contour lines is 0.3 eV. The potential energies are obtained from the DMBE PES and the lower (y ) and the upper (V ) adiabatic sheets are shown by the thin and thick solid curves, respectively. The conical intersection of the two surfaces should not be realized as an isolated point as apparently revealed by the perspective plot, rather, it represents a seam of intersections occurring for R = which is more clearly indicated by the...

A) Water-adsorbed B) Water on preadsorbed Br C) Water on preadsorbed O a) Three-dimensional perspective plots b) Two-dimensional contour maps c) Schematic models... 

The error in the wavefunctions is computed as Xir) =/ex(r)-/ >m(r). for different basis sizes N. We have found it most illumnating to present these as "error-scapes" or three-dimensional perspective plots in which m( ) is plotted as a function of the coordinate r, and the number of basis functions N. The error in the K matrix elements are presented as fractional errors, given by (Kex-[Km]f)/Kex. which are tabulated for each... 

A topographical contour map is a 2D plot of the height as a function of longitude and latitude. We plot the potential as a function of the two bond distances. Computers easily allow you to make a three-dimensional perspective plot of the potential as a function of two variables. Even for the triatomic ABC system what we really want is to view the potential as a fimction of three variables. We know of no easy way for doing so. 

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