2D contour plot

Fig. 8.32. Two-dimensional Fourier transformation applied to a rectangle function shown in original 3D representation (a) and 2D contour plot (b) and as Fourier transforms (c,d), (according to Danzer et al. [2001])...

FIGURE 17.19 2D contour plot of a modified polyamide 6, first dimension LCCC, second dimension SEC. Area 1 unmodified chains, area 2 modified chains, area 3 cyclic oligomers. (See color plate.)... 

The approximating polynomial was also used to obtain response surfaces. Figure 8.16 shows a 3D response surface and a 2D contour plot for the rate of deposition as a function of the concentration of cobalt sulfate and pH. The response surface in Figure 8.16 shows that the rate of deposition first increases, reaches a maximum, and then decreases with increase in pH. The value of this maximum increases with an increase in the concentration of cobalt sulfate. 

Fig. 2. Dihedral energy exploration of pentane. (A) Pentane (C5H12) molecule with two dihedral bonds (rotatable bonds). (B) 2D contour plot of the energy landscape for pentane. (C) 3D contour plot of the energy landscape of pentane. The large circle and peak in the center of the plots (B) and (C), respectively, are the result of carbons 1 and 5 in close proximity ( = 57, -57, / = -57, 57).

Distance Allows you to calculate the distance (in ppm, Hz or data points) between two points of the 2D-contour plot. 

The approximating polynomial was also used to obtain response surfaces. Figure 8.16 shows a 3D response surface and a 2D contour plot for the rate of deposition as a function of the concentration of cobalt sulfate and pH. 

Figure 4.3 Pseudo-2D contour plot of the continuous-flow 19F NMR data obtained on a 50 jl1 injection of human urine collected from 0-4 h after a 1000 mg dose of BW935U83...

FIGURE 6.40 2D separation of TRITC-labeled tryptic peptides of [S-casein. The projections of the 2D separation into the first dimension (OCEC) and second dimension (CE) are shown to the left and below the 2D contour plot, respectively. The field strengths were 220 V/cm in the OCEC channel and 1890 V/cm in the CE channel. The buffer was 10 mM sodium borate with 30% (v/v) acetonitrile. The detection point was given as y in Figure 4.16 (Chapter 4) and was 0.8 cm past valve V2 in the CE channel [333]. Reprinted with permission from the American Chemical Society. 

FIG. 17. A schematic overview of Cso represented by a stick model, 3D and 2D contour plots of the electron density. In the 3D plot in the middle the single contour has been chosen to show how the electrons are distributed in the bonds. The 2D contour plot shows the electron density in a plane that includes the center of the molecule. We clearly see that there is a void, which means that Ceo constitutes a spherical shell. 

An example of the separation of coumarins with comprehensive normal-phase x reversed-phase LC systems has been published by Dugo etal for coumarins and psoralens in cold-pressed lemon oil. For the separation in the first dimension, the authors used a capillary normal-phase 1.0 mm X 300 mm 5 pm silica column with isocratic elution (eluent -hexane ACN (75 25)) at 20 pi min-1. In the second dimension, a monolithic 4.6 mm X 25 mm C18 silica column (including a 4.6 mm X 5 mm guard column) was employed with linear gradient elution (eluent A water and eluent B ACN) at 4 ml min-1. The interface between the first and the second dimension was a 10-port, 2-position valve equipped with two storage loops. The incompatibility of the solvents that were used in the two dimensions (NPC and RPC) and its effects in the separation were overcome by using a combination of a capillary column in the first dimension and an analytical monolithic column in the second dimension. With this NPC X RPC system, 11 heterocyclic compounds were analyzed and depicted in 2D contour plots. 

Fig. 7. Results from a study investigating the alteration on sample thermal properties induced by surrounding the sample with an oil bath. 2D contour plots without (left) and with (right) a Krytox oil bath. The horizontal axis corresponds to the position along the c-axis with a calibration of 200 Hzcm and the vertical axis calibration is 67 HzK. (Fig. from ref. 48, Copyright 1998 by Academic Press, reproduced by permission of the publisher.)...

The surface representing the model is called the response surface. Graphically, the response surface can be visualized by drawing 2D contour plots or 3D response surface plots (7). A 2D contour plot shows the isoresponse lines as a function of the levels of two variables, while a 3D response surface plot represents the response, on a third dimension, as a function of the levels of two variables. An example of a 2D contour plot and a 3D response surface plot is shown in Figure 2.18. When more than two factors... 

FIGURE 2.18. Graphical representation of the response resolntion of Table 18 (28) as (a) 2D contour plot and (b) 3D response surface plot. The response is presented as a function of factors 1 (A) and 2 (B), while factor 3 (C) is fixed at nominal level (Table 2.3). 

The elution order of the enantiomers was the same for all experiments. Thus, a modeling of the resolution is meaningful. The 2D contour plot and the 3D response surface plot for this response Rs are shown in Figure 2.18. 

RSM for independent variables and mixture components 2D contour plots with overlay of contour lines for different responses, and limits of the domain. 3D plot of response surface... 

Figure 6 GCxGC-qMS perfume sample 2D contour plot result (upper) and peak apex plot (lower) containing the identified peaks [66].

Figure 7 2D contour plot for the enantio-GCxGC analysis of flush growth Melaleuca alternifolia. Individual isomers are differentiated by a (+) or (—) sign. Component identity 1, a-thujene 2, a-pinene 3, sabinene 4, p-pinene 5, myrcene 6, a-phellandrene 7, a-terpinene 8, p-cymeme 9, limonene 10,1,8-cineole 11, y-terpinene 12, trons-sabinene hydrate ... 

Figure 8 2D contour plot for the GCxenantio-GC-MS analysis of a standard mixture. Identity of components linalool (1), linalyl acetate (2), limonene (3), 1,8-cineole (5), and a-pinene (6) [14]. 

Degradation of labile compounds is a well-known phenomenon for chromato-graphers that can also be visually identified on 2D contour plots. 

The 2D contour plots obtained using parameter value ranges around the optimum values for the Pd/C (Aldrich) case are illustrated in Figures 15.8, 15.9, and 15.10. 

In fig.2 we compare 2D contour plots of (HF) 721/ and of (HCl >2 with a and 3 as variables at intermolecular distances R close to the respective equilibrium values. The Cl-H distances were frozen at the monomer equilibrium value. In both cases the C minima and the saddle points... 

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