The ground state wavefunction of carbon monoxide far from equilibrium

1988 ◽  
Vol 143 (3) ◽  
pp. 299-304 ◽  
Author(s):  
Umpei Nagashima ◽  
Shigeyoshi Yamamoto

The photochemical decomposition of formaldehyde in the near ultra­-violet has been the subject of several investigations. It is known (Norrish and Kirkbride 1932) that the products are chiefly carbon monoxide and hydrogen, and that neither the composition of the products nor the quantum yield depends appreciably on wave-length. Recently Price (1935) has investigated the far ultra-violet absorption spectrum of formaldehyde. The first band observed in this region occurs at about 1745 A and is very diffuse, whereas the first bands in acetaldehyde (Price 1935) and acetone (Noyes, Duncan and Manning 1934) occur at longer wave-lengths and are relatively much sharper. Price ascribes this diffuseness to a predissociation resulting from the interaction of the upper state in formaldehyde with the ground state and assumes that the primary dissociation at about 1745 A should be CH 2 O → hv 1745 A CH 2 + O.


2005 ◽  
Vol 19 (15) ◽  
pp. 713-720
Author(s):  
YONG-LI MA ◽  
HAICHEN ZHU

Bogoliubov–de Gennes equations (BdGEs) for collective excitations from a trapped Bose–Einstein condensate described by a spatially smooth ground-state wavefunction can be treated analytically. A new class of closed solutions for the BdGEs is obtained for the one-dimensional (1D) and 3D spherically harmonic traps. The solutions of zero-energy mode of the BdGEs are also provided. The eigenfunctions of the excitations consist of zero-energy mode, zero-quantum-number mode and entire excitation modes when the approximate ground state is a background Bose gas sea.


1969 ◽  
Vol 47 (18) ◽  
pp. 3345-3353 ◽  
Author(s):  
R. A. Cox ◽  
K. F. Preston

An investigation has been made into the effect of inert gas additions on product quantum yields for the photolysis at 2800 and 2490 Å of mixtures of ketene and oxygen and for the photolysis at 2800 Å of mixtures of ketene and carbon monoxide. Concentration ratios of O2 (or CO) to CH2CO were chosen so that the reaction of CH2(3Σg−) with CH2CO could be ignored and C2H4 formation could be attributed entirely to the reaction[Formula: see text]Quenching of the C2H4 quantum yield by inert gases was interpreted in terms of collisional deactivation of CH2(1A1) to the ground state[Formula: see text]and rate constant ratios k2/k1 have been determined for a number of gases: He (0.018), Ar (0.014), Kr (0.033), Xe (0.074), N2 (0.052), N2O (0.10), CF4 (0.047), C2F6 (0.11), and SF6 (0.045). It has been assumed that collision-induced intersystem crossover in excited singlet ketene makes an insignificant contribution to the observed quenching effects, but it has not been possible to verify this assumption experimentally. The mechanism of collision-induced electronic relaxation of singlet methylene is discussed in the light of the results.


2008 ◽  
Vol 22 (28) ◽  
pp. 5003-5014 ◽  
Author(s):  
LIANGHUI WEN ◽  
YONG-LI MA

The motivation in this paper is to simulate numerically some properties of an interacting Bose–Einstein condensate at zero temperature in an axial symmetry trapping potential with finite amplitude for modeling the practical experimental cases. By use of the basis expansion using three-dimensional harmonic oscillator eigenfunctions, we obtain the ground-state wavefunction and the collective excitation spectra of the system in both usual harmonic potential and different amplitudes of the finite potential. After comparing our results for the finite potential with the data derived from the harmonic potential, we conclude that the finite trap in the practical experiments decreases the entire excitation frequencies in the whole regimes. This decrease is consistent with our analytic prediction qualitatively and agrees well with the experimental data quantitatively.


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