Theory of resonance

Page J B 1991 Many-body problem to the theory of resonance Raman scattering by vibronic systems Top. Appi. Phys. 116 17-72... 

Walsh A M and Loring R F 1989 Theory of resonant and nonresonant impulsive stimulated Raman scattering Chem. Phys. Lett. 160 299-304... 

Ohung Y 0 and Ziegler L D 1988 The vibronic theory of resonance hyper-Raman scattering J. Chem. Phys. 88 7287-94... 

Moiseyev N 1998 Quantum theory of resonances calculating energies, widths and cross-sections by complex scaling Rhys. Rep. 302 212... 

Cook R J 1980 Theory of resonant-radiation pressure Phys.Rev. A 22 1078-98... 

The strength of the bonding found in the actual structure III is greater than that calculated for either of the imaginary structures I and II. This has been explained on the theory of resonance based... 

Kubo R. Note on the stochastic theory of resonance absorption, J. Phys. Soc. Japan 9, 935-46 (1954). 

The convenience and usefulness of the concept of resonance in the discussion of chemical problems are so great as to make the disadvantage of the element of arbitrariness of little significance. Also, it must not be forgotten that the element of arbitrariness occurs in essentially the same way in the simple structure theory of organic chemistry as in the theory of resonance — there is the same use of idealized, hypothetical structural elements. In the resonance discussion of the benzene molecule the two Kekule structures have to be described as hypothetical it is not possible to synthesize molecules with one or the other of the two Kekule structures. In the same way, however, the concept of the carbon-carbon single bond is an idealization. The benzene molecule has its own structure, which cannot be exactly composed of structural elements from other molecules. The propane molecule also has its own structure, which cannot be composed of structural elements from other molecules — it is not possible to isolate a portion of the propane molecule, involving parts of two carbon atoms... 

Extension of the Statistical Theory of Resonating Valence Bonds... 

A Simple Theory of Resonating Covalent Bonds in Metals... 

Extension of the statistical theory of resonating valence bonds to hyperelectronic metals... 

A theory of resonating covalent bonds in metals, developed over the period 1938-1953 (1-3), was recently refined by the formulation of a statistical treatment for hypoelectronic metals (4). We have now extended the statistical treatment to include hyperelectronic metals. This extension has resulted not only in the evaluation of the number of resonance structures for these metals but also in the determination for them of the values of the metallic valence, which have been somewhat uncertain. 

Baer, R. and Rabani, E. (2008). Theory of resonance energy transfer involving nanocrystals The role of high multipoles. J. Chem. Phys. 128, 184710. 

The polar character of the group R will also have a bearing on the formation and stabilization of the furan ring. In accordance with the theory of resonance, the classic structure... 

Resonance Raman spectroscopy has been applied to studies of polyenes for the following reasons. The Raman spectrum of a sample can be obtained even at a dilute concentration by the enhancement of scattering intensity, when the excitation laser wavelength is within an electronic absorption band of the sample. Raman spectra can give information about the location of dipole forbidden transitions, vibronic activity and structures of electronically excited states. A brief summary of vibronic theory of resonance Raman scattering is described here. 

The classic HLSP-PP-VB (Heitler-London-Slater-Pauling perfect-pairing valence-bond) formalism and its chemical applications are described by L. Pauling, The Nature of the Chemical Bond. 3rd edn. (Ithaca, NY, Cornell University Press, 1960 G. W. Wheland, The Theory of Resonance (New York, John Wiley, 1944) and H. Eyring, J. Walter, and G. E. Kimball, Quantum Chemistry (New York, John Wiley, 1944). 

The theory of resonance-assisted coupling of H-bonding and torsions... 

An MNF/microcylinder sensor exploits WGMs resonances in a cylinder (optical fiber), which are excited by an MNF. The arrangement of an MNF and a cylinder is shown in Fig. 13.li. As opposed to the WGM in a microsphere and microdisk considered in Sect. 13.3.1, the beam launched from the MNF into the cylinder spreads along the cylinder surface and eventually vanishes, even if there is no loss. The theory of resonant transmission of the MNF/microcylinder sensor was developed in Ref. 18. The resonant transmission power of this device can be modeled by a self-interference of a Gaussian beam that made n turns along the cylinder circumference ... 

Linus Pauling, "The Nature of the Theory of Resonance," 18, in [Sir] Alexander Todd, ed., Perspectives in Organic Chemistry (New York Interscience Publishers, 1956) 67, regarding Ingold and Ingold (1926), 1312. Todd s volume is dedicated to Robert Robinson on the occasion of his seventieth birthday, September 13, 1956. 

Classical structure theory was developed purely from chemical facts, without any help from physics. The theory of resonance was well on its way toward formulation before quantum mechanics was discovered.. . . ... 

It is true that the idea of resonance energy was then provided by quantum mechanics. . . but the theory of resonance in chemistry has gone far beyond the region of application in which any precise quantum mechanical calculations have been made, and its great extension has been almost entirely empirical.. . . The theory of resonance in chemistry is an essentially qualitative theory, which, like the classical structure theory, depends for its successful application largely upon a chemical feeling that is developed through practice. 46... 

Wheland, G. W. A Quantum Mechanical Investigation of the Orientation of Substituents in Aromatic Molecules. J. Amer. chem. Soc. 64, 900 (1942). 139- — The Theory of Resonance. New York Wiley 1944. 

The theory of resonance transfer of electronic excitation energy between donor and acceptor molecules of suitable spectroscopic properties was first presented by Forster.(7) According to this theory, the rate constant for singlet energy transfer from an excited donor to a chromophore acceptor which may or may not be fluorescent is proportional to r 6, where r is the distance... 

THEORY OF RESONANT CHARGE TRANSFER IN ATOM-SURFACE SCATTERING... 

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