Note on Rearrangement Collisions

Day, T. B.; Rodberg, Leonard S.; Snow, G. A.; Sucher, J.

doi:10.1103/physrev.123.1051

Cited by 50 publications

(14 citation statements)

References 14 publications

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“…It is known [15] that the interactions with the core fragment can be eliminated from the T-matrix element. In the first order Born approximation, the T-matrix element is given by…”

Section: A Model For Dissociative Electron Capturementioning

confidence: 99%

Theory and Application of Dissociative Electron Capture in Molecular Identification

Havey

Eberhart²,

Jones³

et al. 2006

J. Phys. Chem. A

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The coupling of an electron monochromator (EM) to a mass spectrometer (MS) has created a new analytical technique, EM-MS, for the investigation of electrophilic compounds. This method provides a powerful tool for molecular identification of compounds contained in complex matrices, such as environmental samples. In particular, EM-MS has been applied to the detection of nitrated aromatic compounds, many of which are potent mutagens and/or carcinogens and are considered environmental hazards. EM-MS expands the application and selectivity of traditional MS through the inclusion of a new dimension in the space of molecular characteristicsthe electron resonance energy spectrum. EM-MS also enhances detection sensitivity as well because the entire electron flux of the proper energy can be delivered into the negative ion resonance that is analytically most useful to solving the problem at hand. However, before this tool can realize its full potential, it will be necessary to create a library of resonance energy scans from standards of the molecules for which EM-MS offers a practical means of detection. Unfortunately, the number of such standards is very large and not all of the compounds are commercially available, making this library difficult to construct. Here, an approach supplementing direct measurement with chemical inference and quantum scattering theory is presented to demonstrate the feasibility of directly calculating resonance energy spectra. This approach makes use of the symmetry of the transition-matrix element of the captured electron to discriminate between the spectra of isomers. As a way of validating this approach, the resonance values for twenty-five nitrated aromatic compounds were measured along with their relative abundance. Subsequently, the spectra for the isomers of nitrotoluene were shown to be consistent with the symmetry-based model. The initial success of this treatment suggests that it might be possible to predict negative ion resonances and thus create a library of EM-MS standards.2

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“…It is known [15] that the interactions with the core fragment can be eliminated from the T-matrix element. In the first order Born approximation, the T-matrix element is given by…”

Section: A Model For Dissociative Electron Capturementioning

confidence: 99%

Theory and Application of Dissociative Electron Capture in Molecular Identification

Havey

Eberhart²,

Jones³

et al. 2006

J. Phys. Chem. A

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“…It seems extremely unlikely that these nuclear electron interference contributions will be cancelled by higher Born terms since such terms must be at least of order 1/k4 in the incident wave vector. Previous studies 13 claiming cancellation of nuclear contributions in exchange processes were based on first Born distorted wave calculations for which nuclear contributions vanish because of the orthogonality of the wavefunctions employed. Such an approach represents a different p~r turbation expansion than the one used here and con tams no guarantee that the nuclear electron scattering process discussed here will also vanish in second order.…”

Section: Discussionmentioning

confidence: 99%

Second Born Zero Angle Differential Cross Sections in the High Energy Limit for the Electron Impact Excitation of He: The 23S ← 11S and 23P ← 11S Transitions

Bonham

1972

The Journal of Chemical Physics

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Experimental absolute differential cross section for the excitation of the lowest triplet state of [1.1.1]propellane by electron impact Differential elastic cross sections for high angle electron scattering by He in the intermediate energy region J. Chem. Phys. 64, 3886 (1976); 10.1063/1.432706Electron impact excitation of the 11 S→23 S transition in helium; differential crosssection determinations at high incident kinetic energiesThe high energy limit of the inelastic differential cross section for the excitation of the 2 3 S and 2 3 P states of He from the ground state in the forward direction is investigated by expanding the T matrix in powers of V about zero scattering angle and considering all terms proportional to V and V2 where V is the interaction potential. It is shown that the leading terms in a power series in the reciprocal of the incident energy in this second Born infinite channel close coupling theory can qualitatively account for the observed enhancement of the exchange cross section in the forward direction over the predictions of the first Born theory. The ratio of the square of the leading second Born term to the square of the leading first Born term is shown to be proportional to the incident energy for the 23S~PS transitions and of the same order in the incident energy as the first Born form in the case of the 23p~pS transition. The value of the ratio at 500 eV for the 23S~PP transition is estimated to be close to 100 and is relatively independent of the choice of an effective energy loss parameter introduced to carry out the sum over intermediate states.

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“…s e e Ref. 16) and some backward peaking can be obt a i n e d with DWBA c a l c u l a t i o n s without assuming t h e heavy-particle s t r i p p i n g mechanism of Owen and Madansky. l7…”

Section: Discussionmentioning

confidence: 99%

NEUTRONS FROM $sup 9$Be($alpha$,n) REACTION FOR E/sub $alpha$/ BETWEEN 6 AND 10 MeV.

Verbinski¹,

Perey²,

Dickens³

et al. 1967

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Note on Rearrangement Collisions

Cited by 50 publications

References 14 publications

Theory and Application of Dissociative Electron Capture in Molecular Identification

Theory and Application of Dissociative Electron Capture in Molecular Identification

Second Born Zero Angle Differential Cross Sections in the High Energy Limit for the Electron Impact Excitation of He: The 23S ← 11S and 23P ← 11S Transitions

NEUTRONS FROM $sup 9$Be($alpha$,n) REACTION FOR E/sub $alpha$/ BETWEEN 6 AND 10 MeV.

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