Reduced descriptions general considerations

A one-dimensional representation of the molecule-surface PES is often used to provide a qualitative description of experimental data a schematic is shown in Fig. 2 with all energies measured with respect to the binding energy of the gas-phase molecule. We will discuss reduced dimensional PES in considerable detail in Sections III and VI, but for now just note that a 1-D PES has the advantage of simplicity in introducing the general characteristics of data. In Fig. 2 a number of special features are labeled ... 

The general field of problems described above, except in some special areas, may be treated by the well-known methods and analytical models of mathematical physics. It has already been noted that the most general description of the neutron population usually starts with a neutron-balance relation of the Boltzmann type. The Boltzmann equation was developed in connection with the study of nonuniform gas mixtures, and the application to the neutron problem represents a considerable simplification of the general gas problem. (Whereas in gas problems all the particles are in motion, in reactor problems only the neutrons are in motion. ) The fundamental equation of reactor physics, then, is already a familiar one from the kinetic theory. Further, many of the most useful neutron models obtained from approximations to the Boltzmann equation reduce to familiar forms, such as the heat-conduction, Helmholtz, and telegraphist s equations. These simplifications result from the elimination of various independent variables in the... 

Consideration of Fig. 11 indicates how the rr-bond component of the double bond in [CpMo(p,-02CH)]2( x-PH2) is destroyed as a consequence of removal of the K-bond electron density upon protonation. In this regard, 3-center-2-electron M-H-M interactions are often referred to as protonated metal-metal bonds. However, with respect to the last description, it must be emphasized that the metal-metal bond component is no longer the same as that in the deprotonated fragment, i.e., it is not a 2-center-2-electron bond. A simplified MO diagram which illustrates the concept that protonation reduces the M-M bond order for a general situation is provided in Fig. 14. 

A. 1222. In the description of the design considerations for the facility and equipment it shall be demonstrated that external and internal radiation exposures of facility personnel and the general public are based on the radiation protection policy described in para. A. 1203. It shall be described how the design philosophy reduces the exposure of personnel, minimizes the undesirable production of radioactive material, reduces the need and the time spent for maintenance and operational activities with the possibility of internal or external exposure, and keeps the releases of radioactive material to the environment as low as reasonably achievable. 

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