Dependence of the collisional relaxation of highly vibrationally excited polyatomic molecules on the population distribution function

Coronado, Eduardo A.; Rinaldi, Carlos A.; Velardez, Gustavo F.; Ferrero, Juan C.

doi:10.1016/0009-2614(94)00805-1

Cited by 8 publications

(15 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The independence of the evolution of money on the shape of the initial distribution agrees with the results of Montroll and Shuler [23] who firsts demonstrated that the evolution of energy for an ensemble of diatomic molecules is independent of the initial energy distribution. That result was then extended to the more general case of polyatomic molecules [24]. However, it should be noted, as mentioned before, that those works dealt with the relaxation of excited species interacting with a reservoir of cold molecules, which represents a substantial difference with the present calculations.…”

Section: The Rate Of Money Transferencementioning

confidence: 82%

The statistical distribution of money and the rate of money transference

Ferrero

2004

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma function, confirming the validity of the statistical distribution at equilibrium. The equilibrium state is reached through pair wise money transference processes, independently of the shape of the initial distribution and also of the detailed nature of the money transactions between the economic agents.Comment: 15 pages plus 1 table plus 3 figure

show abstract

Section: The Rate Of Money Transferencementioning

confidence: 82%

The statistical distribution of money and the rate of money transference

Ferrero

2004

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

show abstract

“…Although the two methods of initial state preparation produce substantially different initial distributions, the energy transfer parameters obtained by our study are identical within experimental error. This result has previously been postulated from theoretical calculations, 10,11 but until now, no experimental work has substantiated this claim. This is the first direct experimental comparison between the two methods of initial excitation, and demonstrates that IRMPA is a viable method for energy transfer studies.…”

Section: Discussionmentioning

confidence: 78%

“…[3][4][5][6] Nevertheless, it has been shown theoretically that under appropriate conditions the results extracted from the data depend solely on the average excitation energy, i.e., they are independent of the initial distribution. 10,11 The average internal energy the excited molecule initially reaches after IRMPA is controlled by varying the fluence of the excitation laser.…”

Section: Introductionmentioning

confidence: 99%

A direct comparison of vibrational deactivation of hexafluorobenzene excited by infrared multiple photon absorption and internal conversion

Gascooke

Alwahabi

King

et al. 1998

The Journal of Chemical Physics

View full text Add to dashboard Cite

We report the first direct comparison between energy transfer parameters measured using infrared multiphoton absorption ͑IRMPA͒ versus ultraviolet ͑UV͒ excitation followed by rapid internal conversion ͑IC͒. Highly excited hexafluorobenzene ͑HFB͒ molecules in the electronic ground state were prepared by ͑i͒ IRMPA by CO 2 laser pumping to an average initial energy of 14 500-17 500 cm Ϫ1 and ͑ii͒ UV excitation to ϳ40 300 cm Ϫ1 followed by IC. The vibrational deactivation of the highly excited HFB by the monatomic collider gas argon was monitored by time-resolved infrared fluorescence. The results for the two methods are identical within experimental error, demonstrating the viability of IRMPA as a method of state preparation for vibrational deactivation experiments involving large molecules.

show abstract

“…Model calculations showed that if 〈∆E〉 is linearly dependent on 〈E〉 the energy decay is exponential and independent of the fraction q of molecules excited. 15 As the decays are exponential at all the pressures investigated, it follows that the dependence of 〈∆E〉 on 〈E〉 can be extracted even in the case that the fraction q and consequently 〈〈E〉〉 q varies. This fact can be rationalized taking the time derivative of eq 19…”

Section: Combining Eqs 3 and 5 Results Inmentioning

confidence: 97%

“…15 In that work, bimodal distributions consisted of a fraction q of molecules lying in high vibrational energy levels and the remaining fraction, 1 -q, populating low vibrational levels. These calculations were performed using the same dependence of 〈∆E〉 d on 〈E〉 for both ensembles and showed exponential relaxation, irrespective of the value of q.…”

Section: Introductionmentioning

confidence: 99%

Collisional Relaxation of Highly Vibrationally Excitedcis-ClFCCFCl Prepared by Multiphoton Excitation

Coronado

Ferrero

1997

J. Phys. Chem. A

Self Cite

View full text Add to dashboard Cite

Highly vibrationally excited gas-phase cis-ClFCdCFCl was prepared with a pulsed, high-powered pulsed TEA CO 2 laser operating at 948 cm -1 , and the subsequent collisional relaxation was followed by infrared fluorescence from the ν 2 mode (1168 cm -1 ). Energy transfer data were obtained for Ar and ClFCdCFCl molecules as collisional partners. The exponential decay of the average energy together with the linear microcanonical dependence of I(E) on 〈E〉 in a wide energy range allowed for the determination of the dependence of bulk average energy transfer per collision, 〈〈∆E〉〉, on the average energy, 〈〈E〉〉. In both cases, 〈〈∆E〉〉 is found to be a linear function of 〈〈E〉〉. As the energy decay profiles are exponential, they are independent of the shape of the initial distribution and of the fraction of molecules excited, allowing one to obtain the dependence of the microscopic first moment of P(E′,E), 〈∆E〉, on 〈E〉. The following dependences of 〈∆E〉 on 〈E〉 were found:〈∆E〉 P ) 4.5 ( 1.0 -(7.3 ( 1.5) × 10 -3 〈E〉 cm -1 for self-relaxation and 〈∆E〉 M ) 0.63 ( 0.06 -(1.0 ( 0.1) × 10 -3 〈E〉 cm -1 for the relaxation with Ar.

show abstract

Dependence of the collisional relaxation of highly vibrationally excited polyatomic molecules on the population distribution function

Cited by 8 publications

References 20 publications

The statistical distribution of money and the rate of money transference

The statistical distribution of money and the rate of money transference

A direct comparison of vibrational deactivation of hexafluorobenzene excited by infrared multiple photon absorption and internal conversion

Collisional Relaxation of Highly Vibrationally Excitedcis-ClFCCFCl Prepared by Multiphoton Excitation

Contact Info

Product

Resources

About