### Abstract

In a previous paper we presented a method for studying the collisional relaxation of highly excited triatomic molecules based on trajectory simulations of successive collisions of the molecule with bath gas atoms. The method involves the microcanonical redistribution of vibrational coordinates and momenta between each collision to approximate the aging that occurs in gas-phase experiments. This method is expected to be accurate when the molecular internal energy is high so that molecular motions are chaotic. In this paper we use this redistributed successive collision (RSC) method and a related method based on single energy collisions (SEC) to study the relaxation of CS_{2} by He, Ne, and Ar. For He + CS_{2} we examine the temperature dependence of the average Vibrational energy transfer 〈ΔE〉 and find that, at 36000 cm^{-1}, 〈ΔE〉 increases monotonically with T between 300 and 2000 K. The temperature dependence is similar but stronger for Ne + CS_{2} and Ar + CS_{2}. All of our results at 36000 cm^{-1} are in agreement with experiment within the experimental uncertainties. The dependence of 〈ΔE〉 on the average vibrational energy 〈E〉 of CS_{2} is approximately linear for He + CS_{2} and Ne + CS_{2} at all temperatures and for Ar + CS_{2} at 1000 K. Except for He + CS_{2} at 1000 K, this behavior differs from the stronger dependence that is found experimentally (often close to quadratic), and as a result the experimental values of 〈ΔE〉 at low 〈E〉 are smaller than those determined in the calculations. Ar + CS_{2} at 300 K can be fit about equally well by either linear or quadratic dependence of (ΔE) on 〈E〉. For this case, theory and experiment agree well at all 〈E〉's. We also consider the dependence of 〈ΔE〉 on the potential surface used in the trajectory simulations. For the CS_{2} intramolecular potential, we consider three surfaces: harmonic, sum of Morse functions, and a many-body expansion surface. We find that 〈ΔE〉 for He + CS_{2} is insensitive to which surface we use. For the intermolecular potential we consider exponential-spline-Morse-spline-van der Waals (ESMSV) pair potentials and Lennard-Jones 6-12 and 6-20 pair potentials. We study the effect of well depth and repulsive wall steepness for the He + CS_{2} system and find that different parametrizations of the potentials and variation of the van der Waals well depths lead to the same 〈ΔE〉's; however, an increase in steepness (as in changing from 6-12 to 6-20 potentials) leads to a significant change in 〈ΔE〉.

Original language | English |
---|---|

Pages (from-to) | 7223-7229 |

Number of pages | 7 |

Journal | Journal of Physical Chemistry |

Volume | 92 |

Issue number | 26 |

Publication status | Published - 1988 |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

### Cite this

**Theoretical studies of collisional energy transfer in highly excited molecules : Temperature and potential surface dependence of relaxation in He, Ne, Ar + CS _{2}.** / Bruehl, Margaret; Schatz, George C.

Research output: Contribution to journal › Article

_{2}',

*Journal of Physical Chemistry*, vol. 92, no. 26, pp. 7223-7229.

}

TY - JOUR

T1 - Theoretical studies of collisional energy transfer in highly excited molecules

T2 - Temperature and potential surface dependence of relaxation in He, Ne, Ar + CS2

AU - Bruehl, Margaret

AU - Schatz, George C

PY - 1988

Y1 - 1988

N2 - In a previous paper we presented a method for studying the collisional relaxation of highly excited triatomic molecules based on trajectory simulations of successive collisions of the molecule with bath gas atoms. The method involves the microcanonical redistribution of vibrational coordinates and momenta between each collision to approximate the aging that occurs in gas-phase experiments. This method is expected to be accurate when the molecular internal energy is high so that molecular motions are chaotic. In this paper we use this redistributed successive collision (RSC) method and a related method based on single energy collisions (SEC) to study the relaxation of CS2 by He, Ne, and Ar. For He + CS2 we examine the temperature dependence of the average Vibrational energy transfer 〈ΔE〉 and find that, at 36000 cm-1, 〈ΔE〉 increases monotonically with T between 300 and 2000 K. The temperature dependence is similar but stronger for Ne + CS2 and Ar + CS2. All of our results at 36000 cm-1 are in agreement with experiment within the experimental uncertainties. The dependence of 〈ΔE〉 on the average vibrational energy 〈E〉 of CS2 is approximately linear for He + CS2 and Ne + CS2 at all temperatures and for Ar + CS2 at 1000 K. Except for He + CS2 at 1000 K, this behavior differs from the stronger dependence that is found experimentally (often close to quadratic), and as a result the experimental values of 〈ΔE〉 at low 〈E〉 are smaller than those determined in the calculations. Ar + CS2 at 300 K can be fit about equally well by either linear or quadratic dependence of (ΔE) on 〈E〉. For this case, theory and experiment agree well at all 〈E〉's. We also consider the dependence of 〈ΔE〉 on the potential surface used in the trajectory simulations. For the CS2 intramolecular potential, we consider three surfaces: harmonic, sum of Morse functions, and a many-body expansion surface. We find that 〈ΔE〉 for He + CS2 is insensitive to which surface we use. For the intermolecular potential we consider exponential-spline-Morse-spline-van der Waals (ESMSV) pair potentials and Lennard-Jones 6-12 and 6-20 pair potentials. We study the effect of well depth and repulsive wall steepness for the He + CS2 system and find that different parametrizations of the potentials and variation of the van der Waals well depths lead to the same 〈ΔE〉's; however, an increase in steepness (as in changing from 6-12 to 6-20 potentials) leads to a significant change in 〈ΔE〉.

AB - In a previous paper we presented a method for studying the collisional relaxation of highly excited triatomic molecules based on trajectory simulations of successive collisions of the molecule with bath gas atoms. The method involves the microcanonical redistribution of vibrational coordinates and momenta between each collision to approximate the aging that occurs in gas-phase experiments. This method is expected to be accurate when the molecular internal energy is high so that molecular motions are chaotic. In this paper we use this redistributed successive collision (RSC) method and a related method based on single energy collisions (SEC) to study the relaxation of CS2 by He, Ne, and Ar. For He + CS2 we examine the temperature dependence of the average Vibrational energy transfer 〈ΔE〉 and find that, at 36000 cm-1, 〈ΔE〉 increases monotonically with T between 300 and 2000 K. The temperature dependence is similar but stronger for Ne + CS2 and Ar + CS2. All of our results at 36000 cm-1 are in agreement with experiment within the experimental uncertainties. The dependence of 〈ΔE〉 on the average vibrational energy 〈E〉 of CS2 is approximately linear for He + CS2 and Ne + CS2 at all temperatures and for Ar + CS2 at 1000 K. Except for He + CS2 at 1000 K, this behavior differs from the stronger dependence that is found experimentally (often close to quadratic), and as a result the experimental values of 〈ΔE〉 at low 〈E〉 are smaller than those determined in the calculations. Ar + CS2 at 300 K can be fit about equally well by either linear or quadratic dependence of (ΔE) on 〈E〉. For this case, theory and experiment agree well at all 〈E〉's. We also consider the dependence of 〈ΔE〉 on the potential surface used in the trajectory simulations. For the CS2 intramolecular potential, we consider three surfaces: harmonic, sum of Morse functions, and a many-body expansion surface. We find that 〈ΔE〉 for He + CS2 is insensitive to which surface we use. For the intermolecular potential we consider exponential-spline-Morse-spline-van der Waals (ESMSV) pair potentials and Lennard-Jones 6-12 and 6-20 pair potentials. We study the effect of well depth and repulsive wall steepness for the He + CS2 system and find that different parametrizations of the potentials and variation of the van der Waals well depths lead to the same 〈ΔE〉's; however, an increase in steepness (as in changing from 6-12 to 6-20 potentials) leads to a significant change in 〈ΔE〉.

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UR - http://www.scopus.com/inward/citedby.url?scp=33845278520&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33845278520

VL - 92

SP - 7223

EP - 7229

JO - Journal of Physical Chemistry

JF - Journal of Physical Chemistry

SN - 0022-3654

IS - 26

ER -