Intensity contour plots

Figure 5.1b represents the corrected data from the detector, with intensity contours plotted as a function of the scattering vector perpendicular (Q.) and parallel (Q.) to the layers. As shown in Figure 5.1a, the samples were mounted with the clay layers horizontal to the ground, and the scattering pattern in Figure 5.1b consists of two lobes of intensity above and below the plane of the layers in the gel, defined as the Ay-plane in Figure 5.1a. If the layers were perfectly parallel, then coherent...

Once a full 2D spectrum has been obtained in a form suitable for plotting, the two most popular plot modes are the stacked trace plot (used throughout this chapter), with its three-dimensional effect, and the intensity contour plot (see for example reference 1). 

Keywords phenylsiloxanes, silanediols, photoluminescence, intensity contour plots... 

This surprising substitution effect is more clearly seen in Fig. 3a, which shows an excitation-emission intensity contour plot for compound 2, where a saddle point separates the emission maximum at 360 nm from the short-wavelength features. This explains the two qualitatively different emission characteristics observed for 2 in Fig. 2 for high and low excitation energy. 

Figure 10.9 Geometry of the SANS experiment and resulting intensity contour plots (a) unoriented amorphous polymer and b) oriented polymer (16).

FIGURE 11.15 Temperature-dependent SAXS measurements of sf HIOFIO polyesters (a) R = Ph and (b) R = (CH2)7. Intensity contour plot (in grayscale) log(I) versus T and versus d, first run with heating/cooling rates of 3 K/min. 

Figure 28a displays a typical three-dimensional plot of the neutron intensity scattered by a nematic lyotropic solution in the (qv,qvv)-plane. The data were obtained on the SDS/Dec calamitic phase at 50 s (concentration c = 29.5 wt. % and R = [Dec]/[SDS] = 0.33). As shown in the iso-intensity contour plot (Fig. 28b), the patterns are characterized by two crescent-like peaks aside from the velocity axis. The maximum scattering corresponds to the first order of the structure factor, from which the distance between the center-of-mass of the micelles can be estimated (here 6 nm for a radius of nm). The modulation of the azimuthal intensity is also of interest since it reflects the distribution of micellar orientations. The spectra were analyzed in terms of angular distribution of the scattered intensity. The scattering was integrated over an elementary surface dgvdgvv = where corresponds typically to the half width at half... 

A set of representative neutron scattering intensity contour plots is shown in Figure 2. The two dimensional scattering pattern becomes progressively anisotropic as the extension ratio X increases. Upon... 

Figure B2.3.6. CM angle-velocity contour plot for the F + D2 reaction at an incident relative translational energy of 1.82 kcal mol [26], Contours are given at equally spaced intensity intervals. This CM differential cross section was used to generate the calculated laboratory angular distributions given in figure B2.3.4. (By pennission from AIP.)...

Room-temperature fluorescence (RTF) has been used to determine the emission characteristics of a wide variety of materials relative to the wavelengths of selected Fraunhofer lines in support of the Fraunhofer luminescence detector remote-sensing instrument. RTF techniques are now used in the compilation of excitation-emission-matrix (EEM) fluorescence "signatures" of materials. The spectral data are collected with a Perkin-Elraer MPF-44B Fluorescence Spectrometer interfaced to an Apple 11+ personal computer. EEM fluorescence data can be displayed as 3-D perspective plots, contour plots, or "color-contour" images. The integrated intensity for selected Fraunhofer lines can also be directly extracted from the EEM data rather than being collected with a separate procedure. Fluorescence, chemical, and mineralogical data will be statistically analyzed to determine the probable physical and/or chemical causes of the fluorescence. 

Two-dimensional NMR spectra are normally presented as contour plots (Fig. 3.11a), in which the peaks appear as contours. Although the peaks can be readily visualized by such an overhead view, the relative intensities of the signals and the structures of the multiplets are less readily perceived. Such information can be easily obtained by plotting slices (cross-sections) across rows or columns at different points along the Fi or axes. Stacked plots (Fig. 3.11b) are pleasing esthetically, since they provide a pseudo-3D representation of the spectrum. But except for providing information about noise and artifacts, they offer no advantage over contour plots. Finally, the projection spectra mentioned in the previous section may also be recorded. 

Fig. 30. Contour plot of photoelectron-photodissociation coincidence spectrum as a distribution of photoelectron intensity (dark shade = low, light shade = high) against the electron binding energy and relative translational energy of the photofragments. Also shown on the left and at the bottom are the partially averaged distributions for the translational energy release and the electron binding energy, respectively.

Figure 4 is a set of contour plots of data derived from three Standard Pole Figure scans on a highly oriented specimen of linear polyethylene. The contour plotting software establishes a set of intensity levels that span the data in the diffraction data file. 

The contour plotting program then searches each cell on the x. grid defined by the data to determine, by interpolation, the location of points on the cell edges that should be part of the contour lines for each intensity level. A suitable coordinate transformation then maps the points located in this manner onto the plotting surface where they are Joined by straight line segments. 

Figure 12.10c shows a contour plot of the nanolaser index profile superimposed on a cross-section of the modal field intensity profile in the center of the active medium. As shown in the figure, the modal profile of the nanocavity is confined almost completely in the 300-nm wide central pillar with a modal volume of 0.213 (1/n)3 (0.024 pm3) only 1.75 times the theoretically possible limit of a cubic half... 

Figure Bll.1.1 represents a 3T3 cell stained with BODIPY FL C5-ceramide (from Molecular Probes), a specific stain for the Golgi apparatus The color coding for the lifetimes is from 0 to 5 ns. The lifetime is coded in color (right upper) and this color-coded lifetime information is mapped onto the intensity surface (upper left) to give the combined lifetime/intensity plot (lower right). The final combined image shows intensity contours (in white), and a lit intensity surface is employed to accentuate the information in a three-dimensional form.

Fig. 24. Contour plot of the structure factor (the kinematic LEED intensity) of a x y/i monolayer in a triangular lattice gas with nearest-neighbor repulsion, at a temperature k TIi = 0.355 (about 5% above T ) and a chemical potential // = 1.5 (0c = 0.336 at the transition temperature.) Contour increments are in a (common) logarithmic scale separated by 0.1, starting with 3.2 at the outermost contour. Center of the surface Brillouin zon is to the left k, and k the radial and azimuthal components of kH, are in units of nlXla, a being the lattice spacing. Data are based on averages over 2x10 Monte Carlo steps per site. (From Bartelt et...

Figure 17.6 shows the results for a typical composite image of the entire flame in which the image intensity, or gray scale value, is plotted on the vertical axis against radial and axial distance coordinates. To find the flame area, a threshold intensity is first picked and a binary image is created with all pixels with intensities above the threshold set to 1 (white) and the rest set to 0 (black). The number of white pixels is then proportional to the surface area of the flame at that intensity contour. This process is then repeated to build up a plot of flame area versus a normalized threshold number (intensity value/256) such as that shown in Fig. 17.7a. 

With regard to comprehensive LC data elaboration, the acquired data is commonly elaborated with dedicated software that constructs a matrix with rows corresponding to the duration of the second-dimension analysis and data columns covering all successive second-dimension chromatograms. The result is a bidimensional contour plot, where each component is represented as an ellipse-shaped peak, defined by double-axis retention time coordinates. When creating a 3D chromatogram, a third axis by means of relative intensity is added. The colour and dimension of each peak is related to the quantity of each compound present in the sample. Figure 4.9 illustrates an example of data elaboration in comprehensive LC. 

Fig. 13a and b. Intensity contour maps around the 5.9-nm and 5.1-nm actin layer lines (indicated by arrows) a resting state b contracting state. Z is the reciprocal-space axial coordinate from the equator. M5 to M9 are myosin meridional reflections indexed to the fifth to ninth orders of a 42.9-nm repeat, (c) intensity profiles (in arbitrary units) of the 5.9- and 5.1-nm actin reflections. Dashed curves, resting state solid curves, contracting state. Intensity distributions were measured by scanning the intensity data perpendicular to the layer lines at intervals of 0.4 mm. The area of the peak above the background was adopted as an integrated intensity and plotted as a function of the reciprocal coordinate (R) from the meridian... 

Differences in surface plasmon absorption among various metals are clearly revealed by imagining the trajectories to be superposed onto the contour plot . Spherical silver and aluminum particles have intense surface plasmon absorption peaks because t" is small at the frequency where c is - 2, whereas gold... 

DEFINE SPECTRUM PLOT (SPECTRAL LIMITS, PEAK INTENSITIES, CONTOUR LEVELS, PLOT SIZE, SCALES, COLORS, TITLE)... 

---