Isolation of the regions of potential significance in fine-structure transitions using adiabatic and functional sensitivity analyses: A comparative investigation with application to Na([sup 2][ital P][sub 1/2])+He[r arrow]Na([sup 2][ital P][sub 3/2])+He and Na([sup 2][ital P][sub 1/2])+Ar[r arrow]Na([sup 2][ital P][sub 3/2])+Ar

Journal Article · Sat Oct 01 00:00:00 EDT 1994 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.50.3142· OSTI ID:7032557

Padmavathi, D A; Mishra, M K ^[1]; Rabitz, H ^[2]

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1. Department of Chemistry, Indian Institute of Technology, Powai, Bombay 400076 (India)
2. Department of Chemistry, Princeton University, Princeton, New Jersey 08544 (United States)

The first-order functional sensitivity densities [delta] ln[sigma][sub 1/2[r arrow]3/2]([ital E])/[delta] ln[ital W][sub [vert bar][Lambda][vert bar]]([ital R]) are employed to assess the role of structure in the potential-energy curves [ital W][sub 0]([sup 2][Sigma]) and [ital W][sub 1]([sup 2][Pi]) mediating the fine-structure transition Na([sup 2][ital P][sub 1/2])+He[r arrow]Na([sup 2][ital P][sub 3/2])+He and Na([sup 2][ital P][sub 1/2])+Ar[r arrow]Na([sup 2][ital P][sub 3/2])+Ar. The sensitivity density profiles [delta] ln[sigma][sub 1/2[r arrow]3/2]([ital E])/[delta] ln[ital W][sub [vert bar][Lambda][vert bar]]([ital R]) for the two systems reveal that regions of significance differ widely for the [sup 2][Sigma] and [sup 2][Pi] curves. The results suggest that prevalent mechanistic explanations from adiabatic analyses have limitations in terms of the ultimate significance of the identified kinematic coupling over well demarcated radial and angular coupling regions. The functional sensitivity analysis is shown to permit a full deconvolution of the collision cross section's dependence on the features in the individual [sup 2][Sigma] and [sup 2][Pi] curves as opposed to the adiabatic analysis where only the features in [[ital W][sub 0]([ital R])-[ital W][sub 1]([ital R])] are deemed critical to the collisional outcome.

• OSTI ID: 7032557
• Journal Information: Physical Review A; (United States), Vol. 50:4; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
RARE GASES
ATOM-ATOM COLLISIONS
SODIUM
CROSS SECTIONS
DIAGRAMS
ENERGY-LEVEL TRANSITIONS
EXCITED STATES
FINE STRUCTURE
POTENTIAL ENERGY
SENSITIVITY ANALYSIS
ALKALI METALS
ATOM COLLISIONS
COLLISIONS
ELEMENTS
ENERGY
ENERGY LEVELS
FLUIDS
GASES
METALS
NONMETALS
664300* - Atomic & Molecular Physics- Collision Phenomena- (1992-)