On a continued fraction occurring in the theory of one-electron diatomic molecules.
Continued fraction in theory of electron energy for ground state of one-electron diatomic molecule near united atom
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Continued fraction in theory of electron energy for ground state of one-electron diatomic molecule near united atom
Electronic energy for ground state of one-electron diatomic molecule near united atom
Unsteady diffusion with recombination in ternary mixture of diatomic molecules, dissociated atoms, and an inert gas
Electric energy behavior for ground state of one-electron heteronuclear diatomic molecule near united atom
Partial wave calculation of diatomic divalent molecular /HeH/ ion
Rotational excitation and scattering cross sections for rigid diatomic molecules reduced to yield distorted wave approximation, resulting in inelastic transition probabilities
Various methods of calculating the internal energy of diatomic molecules are studied. An accurate and efficient method for computing the eigenvalues of the vibrational Schroedinger equation for an arbitrary potential is developed. The method is based on a finite-element discretization using the cubic Lobatto element. A combination of spectrum slicing and the Laguerre algorithm is used to solve for the eigenvalues. A simple method to compute the quasi-bound states is presented. For N2 molecules, all vibrational-rotational states of eleven available electronic potentials are computed, and summed to obtain the exact internal energy function with temperature. The total computation required 314 seconds of CPU-time on NASA's Cray 2 computer. Various approximate models are discussed and compared with the exact numerical simulation. It is shown that the splitting of the macroscopic internal energy into separate electronic, rotational, and vibrational energies is not justified at high temperatures.
Potential-energy relations involving a few parameters in simple analytic forms have been found to represent well the energetics of a wide variety of diatomic molecules. However, such two-atom potential functions are not appropriate for metals. It is well known that, in the case of metals, there exist strong volume-dependent forces which can never be expressed as pairwise interactions. The present investigation has the objective to show that, in spite of the observation concerning metals, a single binding-energy relation can be found which accurately describes diatomic molecules as well as adhesion, cohesion, and chemisorption on metals. This universality reveals a commonality between the molecular and metallic bond.
Glory undulation quenching in velocity dependent atom-diatomic molecule scattering total cross sections, noting anisotropic distortion of potential
Three dimensional collision-induced vibrational transitions in homogeneous diatomic molecules
Compound state resonance energies and widths in elastic scattering of diatomic molecule at energies below rotational excitation threshold
Diatomic molecules vibrational levels distribution near dissociation limit determined using WKB approximation
Higher order derivatives of energy with respect to internuclear separation for diatomic molecules derived from ordinary and integral Hellmann- Feynman theorems
Inelastic collision effects on vibrational excitation of diatomic molecules with conserved energy
The abundances of diatomic molecules seen in the UV both give clues to the parent compounds and help unravel the gas and ion mass spectrometry. From IUE spectra of comet Halley, upper limits on SH and CS(+) column densities and estimates of probable NO, S2, and SO are found. In particular, judged from the 226-nm gamma band, NO was relatively abundant at 2-8 x 10 to the 13th/sq cm on March 9-14. The production rate of S2 was around 1 x 10 to the 27th molecules/s at that time, but both showed day-to-day variability by 2-3 times.
A recent work shows how to extract the ionization site of a neutral diatomic molecule by comparing Quantum Trajectory Monte Carlo (QTMC) simulations with experimental measurements of the final electron momenta distribution. This method was applied to an experiment using a 40-femtosecond infrared pulse, finding that a downfield atom is roughly twice as likely to be ionized as an upfield atom in a neutral nitrogen molecule. However, an open question remains as to whether an assumption of the zero carrier envelope phase (CEP) used in the above work is still valid for short, few-cycle pulses where the CEP can play a large role. Given experimentalists’ limited control over the CEP and its dramatic effect on electron momenta after ionization, it is desirable to see what influence the CEP may have in determining the ionization site. In this paper, we employ QTMC techniques to simulate strong-field ionization and electron propagation from neutral N2 using an intense 6-cycle laser pulse with various CEP values. Comparing simulated electron momenta to experimental data indicates that the ratio of down-to-upfield ions remains roughly 2:1 regardless of the CEP. This confirms that the ionization site of a neutral molecule is determined predominantly by the laser frequency and intensity, as well as the ground-state molecular wavefunction, and is largely independent of the CEP.
Dissociation energy and long range potential of diatomic molecules from higher level vibrational spacings
Dissociation energy and long-range potential of diatomic molecules from vibrational spacings, halogens