Casing normal single-state

In the adiabatic limit, the reaction can be described by the adiabatic potentials which are composed of the upper and the lower branch and whose energy separation is given by 27 at Q = Qc, as shown in Figure 1. The relative positions of the branches are quite different for the normal and the inverted cases the positions of the diabatic potentials appropriate for the non-adiabatic limit, shown in Figure 5, change to those shown in Figure 6 in the adiabatic limit for both the normal and the inverted case. In the normal case, the reactant-state potential corresponds to the left-hand well in the lower branch of the adiabatic potential. In the inverted case, on the other hand, it corresponds to the upper branch, which consists of a single well. 

In the regions intermediate between these limiting cases, normal modes of vibration "erode" at different rates and product distributions become sensitive to the precise conditions of the experiment. Intramolecular motions in different product molecules may remain coupled by "long-range forces even as the products are already otherwise quite separated" (Remade Levine, 1996, p. 51). These circumstances make possible a kind of temporal supramolecular chemistry. Its fundamental entities are "mobile structures that exist within certain temporal, energetic and concentration limits." When subjected to perturbations, these systems exhibit restorative behavior, as do traditional molecules, but unlike those molecules there is no single reference state—a single molecular structure, for example—for these systems. What we observe instead is a series of states that recur cyclically. "Crystals have extension because unit cells combine to fill space networks of interaction that define [dissipative structures] fill time in a quite... 

The Diels-Alder reaction between tetrachlorothiophene dioxide and maleimide yields a symmetrical product. If the diene and dienophile are asymmetrically substituted, several diastereomeric products can be formed. In principle, antibody catalysts could be prepared for each of the possible stereochemical pathways by synthesizing the corresponding transition state analogs. The preparation of antibodies that steer a Diels-Alder cycloaddition down a normally disfavored exo pathway demonstrates the feasibility of this proposition [41]. The substituted bicyclo[2.2.2]octane derivative 20, corresponding to the transition state for exo addition of acrylamide to diene 18, served as a template for generating antibodies that catalyze formation of the exo adduct 19 [41]. Catalysts for the endo pathway were prepared with the epimer of hapten 20. In both cases, a single enantiomer of the cyclohexene product was produced. 

The modeling is based on adaptation of the equations in the previous section to the coupled loops case. The model equations developed herein will be written for the case of single-phase flow in the primary and secondary loops. Both steady-state and off-normal transient conditions in the Gen IV nuclear reactor case involve two-phase fluid states. Safety-grade analyses of design and off-normal states will generally be handled by systems-analysis models and codes that easily accommodate generalized geometry, fluid states, and flow directions. 

For diatomics with ten valence electrons, pole strengths lie between 0.86 and 0.89. DOs are dominated by a single occupied orbital in all cases. In the normalized DO for the state of AlO, there are other contributions with coefficients near 0.02. For the states of BO and AlO, certain operators have U elements that are approximately 0.1. Recent experimental work has produced a revised figure, 2.508 0.008 eV, for the electron affinity of BO [42] and the entry in Table III is in excellent agreement. Similar agreement occurs for the electron affinities of CN, AlO and AIS. 

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