Next-maximum map

Figure A3.14.8. Next-maximum map obtained by plotting maximum temperature in one ignition against maximum in next ignition from traee (d) of figure A3,14,7.

The aperiodic time series in Fig. 5.35(d) has no repeating unit, but is not a random sequence of ignition. That there is an underlying order can be revealed by plotting the so-called next-maximum map. In this construction, the amplitude of one ignition (as measured by any appropriate and convenient device, so here we use the signal from the internal thermocouple junction which is an approximate measure of the self-heating... 

Fig. 5. 37. Next maximum map obtained from chaotic sequence in Fig. 5.35(d). (Reprinted with permission from reference [66], Royal Society of Chemistry.)...

Finally, select acetone from the molecules on screen. Here, both the LUMO and the LUMO map are available under the Surfaces menu. First, select LUMO and display it as a Solid. It describes a 7U-type antibonding ( i ) orbital concentrated primarily on the earbonyl carbon and oxygen. Next, turn off this surface (select None under the LUMO sub-menu), and then seleet LUMO Map under the Surfaces menu. Display the map as a transpareni solid. Note the blue spot (maximum value of the LUMO) directly over the carbonyl carbon. This reveah the most likely site for nucleophilic attack. 

So far three atoms have been confirmed, and the fourth strongest peak points to an atom that also belongs to the 2(a) site with z = 0.580. The only atom, which is missing from our model, is Rh. When 2 Rh atoms are placed in this site, the interatomic distance 5Rh ce = 1-75 A, which is too short. The fourth peak is therefore, a false maximum and it should be discarded. After the next strongest peak (No. 5) is tested, all distances are normal. The Rp = 16.3 % and the subsequent Fourier map is listed in Table 6.27, which now displays a sharp drop in peak heights after peak No. 4. The cross-section of... 

A difference Fourier map, calculated at this point, reveals an additional small electron density maximum in the tetrahedral cavity next to the partially occupied V2. Thus, it is reasonable to assume that the V2 site splits into two independent partially occupied positions with the coordinates, which distribute V atoms in a random fashion in two adjacent tetrahedral positions rather than being simply vanadium-deficient. We label these two sites as V2a (corresponding to the former V2) and V2b (corresponding to the Fourier peak). Refinement of this model slightly improves the fit. Subsequently, additional profile parameters (F, F , and sample displacement) were included in the refinement, followed by a typical procedure of refining the porosity in the Suortti approximation with fixed atomic coordinates and Ui o, and then fixing the porosity parameters for the remainder of the refinement. 

A search of the worldwide patent base since 1981 revealed 9980 distinct patents that have been issued or are published applications of the utilization of PB. Computer technology is now available that will list and generate a map indicating the similarities among these patents. Such a map with this broad database is seen in Fig. 1. Here, the peaks are labeled to indicate clusters of similar patents. For instance, the four most intense collections of points are shown as white peaks. Each peak represents the location of the maximum of over 400 patents related to the labeled category, while the next contour line shows the distribution of less closely related patents that also have a lower level of similarity to the peak. 

Fig. 2 Map of 96-well plates as used for either resazurin or the PI assay. The outer wells are filled with 200 (iL of sterile distilled water shaded. On this plate setup 200 pL of test compound or control drug, usually at 200 pM, is added to the wells labeled Start, and a doubling dilution is carried out over the next 18 wells (whitdj. The final wells, marked with multiplication sign, do not receive any drug but are control for maximum growtti...

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