Proper energy

Obtaining explosives with the proper energy, form, and detonation velocity is difficult. 

For a balanced historical record I should add that the late W. E. Blumberg has been cited to state (W. R. Dunham, personal communication) that One does not need the Aasa factor if one does not make the Aasa mistake, by which Bill meant to say that if one simulates powder spectra with proper energy matrix diagonalization (as he apparently did in the late 1960s in the Bell Telephone Laboratories in Murray Hill, New Jersey), instead of with an analytical expression from perturbation theory, then the correction factor does not apply. What this all means I hope to make clear later in the course of this book. 

Ramsay and the other modern alchemists/chemists following his lead believed that they had found the proper energy sources for such syntheses of heavier elements in radium emanation—and eventually other sources of energy, including cathode rays and X-rays—to try to cause transmutations.20... 

Develop a fuel cell system for consumer electronics with proper energy density by 2010. 

While the general applicability of the Cundall method to all situations may be questioned even when the proper energy relationships exist,34 there seem to be no reasonable doubts about its applicability to benzene.29,35 Neither of the two butenes quenches the singlet emission from benzene in the 1B2u state, and the triplet states of benzene which might be of importance all lie above the triplet state of the 2-butene (which should be nearly the same for both the cis and trans forms). 

The return to the ground state S0 will occur either from spectroscopical or from biradicaloid or under certain conditions from both minima. Therefore, the theory should provide a proper energy ordering of low-lying singlet—S0, Sa, S2—and triplet states at these geometries as well as the information about the nature of the corresponding wavefunctions. 

In order to achieve efficient sensitization of a nano-crystalline TiC>2 electrode, the sensitizer requires not only proper energy levels but also directionality for their excited states. The directionality should be arranged to provide an efficient electron transfer from the excited dye to the TiC>2 conduction band by good electronic... 

In practical applications, the continuum is often approximated by a discrete spectrum. To this end, one conveniently introduces a potential wall at long internuclear separations and solves for the artifically bound states.171,172 Alternatively, basis set expansion techniques can be employed.195,196 In either case, the density of states depends on external conditions, that is, the size of the box or the number of basis functions. This dependence on external conditions has to be accounted for by the energy normalization. Instead of employing a single continuum wave function with proper energy E in Eq. [240], one samples over the discrete levels with energy E -... 

PES and theoretical studies have provided detailed information on the energies and nature of the filled EMOs in isothiazole. In gas-phase collisions, an isolated molecule can temporarily attach an electron of proper energy and angular momentum into a vacant MO (shape resonance). ETS is one of the most suitable means for detecting the formation of these short-lived anions and elucidating the empty-level electronic structure (see Section 4.05.2.2) <2004PCA5721>. 

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