Prism of reactions

Let us demonstrate work of the algorithm on a typical example, a prism of reaction that consists of two connected cycles (Figures 2 and 3). Such systems appear in many areas of biophysics and biochemistry (see, e.g. the paper of Kurzynski, 1998). 

Figure 2 Gluing of cycles for the prism of reactions with a given ordering of rate constants in the case of two attractors in the auxiliary dynamical system (a) initial reaction network,...

The correspondent approximation to the general solution of the kinetic equation for the prism of reaction (Figure 2a) is ... 

An intimate mixture of betaine hydrate (67.5 g) and chloral hydrate (100 g) was warmed to ca. 60°C when an exothermic reaction occurred and the mixture became pasty. It was then stirred at 60°C for 30 minutes. The residue solidified on cooling and was crystallited from a small amount of water. The product separated in hard, colorless prisms of MP 122.5° to 124.5°C (corr). 

Schulenberg (117) describes the material 55a, which is obtained from the amide 55c on reaction with a deficiency of sodium methoxide the white prisms of the product melt at 110 to 122°C (variable). These crystals give fairly stable solutions, enabling measurement of the NMR spectrum and observation that the material gives a positive FeCl3 reaction, in accord with the enol structure. After recrystallization a mixture of crystals of 55a and pale yellow prisms melting at... 

Phosphides. The crystal structure of MogPj has been shown to involve trigonal prisms of molybdenum atoms each enclosing a central phosphorus atom. M0P4 has been prepared by reaction of the elements at 15—65 kbar and shown to be isostructural with CrP, and therefore to involve the metal atom surrounded by six phosphorus atoms in a distorted octahedral manner. ... 

SeS3 (m.p. 111 °C) is said to be formed in the reaction of various N-benzylthiamides (R—CS—NH—CHj -CgHj) and selenium dioxide in ethanol. After repeated recrystallization from carbon disulfide long red hexagonal prisms of SeSj are obtained from the crude product... 

Differential thermal analysis was performed with the DuPont 900 differential thermal analyzer the heating rate was usually 10°C. per minute. To determine heats of reaction, the calorimeter attachment to the Du Pont instrument was employed. Planimeter determinations of peak areas were converted to heat values by using standard calibration curves. For the infrared spectra either a Beckman IR5A instrument or a Perkin Elmer 521 spectrophotometer with a Barnes Engineering temperature-controlled chamber, maintained dry, was used. Specimens for infrared were examined, respectively, as Nujol mulls on a NaCl prism or as finely divided powders, sandwiched between two AgCl plates. For x-ray diffraction studies, the acid-soap samples were enclosed in a fine capillary. Exposures were 1.5 hours in standard Norelco equipment with Cu Ko radiation. For powder patterns the specimen-to-film distance was 57.3 mm. and, for long-spacing determinations, 156 mm. 

During this phase the initial self-retarding calcium silicate hydrate layer appears to break down, allowing further hydration products from the C3S and C2S phases to be formed. These appear to be produced in three morphological forms, platelike, needles and crumpled foils. During this reaction considerable quantities of hexagonal prisms of precipitated lime are also formed. 

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