Curve-Crossing Model

2016 ◽  
Author(s):  
Vladimir I. Minkin
Keyword(s):  
Curve Crossing

Improvement of the adiabatic phase integral for the Landau–Zener-type curve crossing

1998 ◽  
Vol 109 (11) ◽  
pp. 4689-4690 ◽  
Author(s):  
Chaoyuan Zhu ◽  
Hiroki Nakamura
Keyword(s):  
Type Curve ◽  
Phase Integral ◽  
Curve Crossing

scholarly journals Curve crossing problem with Gaussian type coupling: analytically solvable model

2012 ◽  
Vol 110 (18) ◽  
pp. 2197-2203 ◽  
Author(s):  
Diwaker ◽  
Aniruddha Chakraborty
Keyword(s):  
Solvable Model ◽  
Gaussian Type ◽  
Type Coupling ◽  
Curve Crossing

A log‐derivative propagation scheme for the exact solution of two‐state curve crossing problems

1989 ◽  
Vol 91 (4) ◽  
pp. 2388-2395 ◽  
Author(s):  
Millard H. Alexander ◽  
Gérard Parlant ◽  
Terrence H. Hemmer
Keyword(s):  
Exact Solution ◽  
State Curve ◽  
Curve Crossing

Analytical matrix elements for non-curve-crossing situations

1980 ◽  
Vol 41 (5) ◽  
pp. 1177-1193 ◽  
Author(s):  
T. Uzer ◽  
M.S. Child
Keyword(s):  
Matrix Elements ◽  
Curve Crossing

scholarly journals Origin of the “odd” behavior in the ultraviolet photochemistry of ozone

2020 ◽  
Vol 117 (35) ◽  
pp. 21065-21069
Author(s):  
Shanyu Han ◽  
Carolyn E. Gunthardt ◽  
Richard Dawes ◽  
Daiqian Xie ◽  
Simon W. North ◽  
...  
Keyword(s):  
Quantum Theory ◽  
Selection Rule ◽  
Rotational Quantum Number ◽  
Rotational State ◽  
Isotopic Enrichment ◽  
State Distribution ◽  
Rotational States ◽  
Increasing Temperature ◽  
Full Quantum ◽  
Curve Crossing

The origin of the even–odd rotational state population alternation in the16O2(a1Δg) fragments resulting from the ultraviolet (UV) photodissociation of16O3, a phenomenon first observed over 30 years ago, has been elucidated using full quantum theory. The calculated16O2(a1Δg) rotational state distribution following the 266-nm photolysis of 60 K ozone shows a strong even–odd propensity, in excellent agreement with the new experimental rotational state distribution measured under the same conditions. Theory indicates that the even rotational states are significantly more populated than the adjacent odd rotational states because of a preference for the formation of the A′ Λ-doublet, which can only occupy even rotational states due to the exchange symmetry of the two bosonic16O nuclei, and thus not as a result of parity-selective curve crossing as previously proposed. For nonrotating ozone, its dissociation on the excited B1A′ state dictates that only A′ Λ-doublets are populated, due to symmetry conservation. This selection rule is relaxed for rotating parent molecules, but a preference still persists for A′ Λ-doublets. The A′′/A′ ratio increases with increasing ozone rotational quantum number, and thus with increasing temperature, explaining the previously observed temperature dependence of the even–odd population alternation. In light of these results, it is concluded that the previously proposed parity-selective curve-crossing mechanism cannot be a source of heavy isotopic enrichment in the atmosphere.

Harnessing the Power of Adiabatic Curve Crossing to Populate the Highly Vibrationally Excited H2 ( v=7 , j=0 ) Level

2020 ◽  
Vol 124 (16) ◽  
Author(s):  
William E. Perreault ◽  
Haowen Zhou ◽  
Nandini Mukherjee ◽  
Richard N. Zare
Keyword(s):  
Vibrationally Excited ◽  
Adiabatic Curve ◽  
Curve Crossing
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