Resonance combinations

Borch, J., and Roepstorff, P. (2004). Screening for enzyme inhibitors by surface plasmon resonance combined with mass spectrometry. Analytical Chemistry 76, 5243-5248. 

There are two ferrite material properties which were not discussed in Section 9.3.1 but which are important in the inductor context they are the temperature and time stabilities of the permeability which, of course, determine the stability of the inductance. The temperature coefficient of permeability must be low, and this has been achieved for certain MnZn ferrite formulations as indicated in Fig. 9.18. A small residual temperature coefficient of inductance can be compensated by a suitable coefficient of opposite sign in the capacitance of the resonant combination. 

An interesting approach was proposed by Dewar and Grisdale (73) in which the parameters were obtained by semiempirical quantum mechanical methods. The separation was into electrostatic, F/r.. and resonance combined with inductive effects (Mqjj and M lrg)... 

ELECTRON SPIN RESONANCE SPECTROSCOPY Electron spin resonance (ESR) is a technique that can also be used on aqueous samples and has been used to study the adsorption of copper, manganese, and chromium on aluminum oxides and hydroxides. Copper(II) was found to adsorb specifically on amorphous alumina and microcrystalline gibbsite forming at least one Cu-O-Al bond (McBride, 1982 McBride et al., 1984). Manganese(II) adsorbed on amorphous aluminum hydroxide was present as a hydrated outer-sphere surface complex (Micera et al., 1986). Electron spin resonance combined with electron spin-echo experiments revealed that chromium(III) was adsorbed as an outer-sphere surface complex on hydrous alumina that gradually converted to an inner-sphere surface complex over 14 days of reaction time (Karthein et al., 1991). 

An instructive, albeit trivial, example is the hydrogen exchange reaction, Ha — Hb + He Ha -b Hb — He where the thermal transition state has a collinear geometry, Ha — Hb — He. In the linear structure, the ground state is the resonating combination of R and P, and it constitutes the transition state for the thermal reaction, while the twin-excited state P is the corresponding antiresonant combination that forms the photochemical funnel ... 

Alford J M, Williams P E, Trevor D E and Smalley R E 1986 Metal cluster ion cyclotron resonance combining supersonic metal cluster beam technology with FT-ICR Int. J. Mass Spectrom. Ion Process. 72 33... 

Sometimes chemists refer to such a combination as a resonance combination. It is a poorly chosen term, but it has become deeply lodged in their speech about compounds like benzene. They mean that the wave functions for the electrons can be approximated by a sum of the wave functions for those structures, in the way that Chapter 6 pictured the wave function for the hydrogen molecule as a sum of atomic wave functions. 

Yao, X., Li, X., Toledo, F., Zurita-Lopez, C., Gutova, M., Momand, J., Zhou, F. (2006). Subattomole oligonucleotide and p53 cDNA determinations via a high-resolution surface plasmon resonance combined with oligonucleotide-capped gold nanoparticle signal amplification. Anal Biochem 354, 220-228. 

If the assumption is made that all collisions are reactive collisions (obviously reasonable only for reactions with large rate constants), one can ignore the effects of nonreactive collisions on power absorption and use Eq. (14) for power absorption at resonance. Combining Eq. (26a) with Eq. (14) and using Eq. (53a) for P(t), one obtains... 

---