DOI: 10.1063/1.1678459. Monte Carlo Trajectory Calculations of the Three-Body Recombination and Dissociation of Diatomic Molecules

Monte Carlo Trajectory Calculations of the Three-Body Recombination and Dissociation of Diatomic Molecules

10.1063/1.1678459

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The modified phase-space theory of reaction rates has been applied to the problem of the three-body recombination and dissociation of diatomic molecules. The results illustrate the important influence of the weak attractive minimum in the third-body interaction potential and the effect of barrier penetration for recombination at low temperatures. The system N2+Ar was used as a typical illustrative example, and good agreement was obtained between the theoretical predictions and the experimental measurements of the reaction rate coefficients over the temperature range 200–12 000°K. The recrossing factor and the nonequilibrium factor were obtained from Monte Carlo trajectory calculations for states near the dissociation limit. The trajectories were sampled within the reaction zone with a weight proportional to the equilibrium reaction rate, and numerically integrated in both timewise directions to determine the complete histories of the collisions. A simple, separable function for the equilibrium transition rate R(εi, εf) from initial energy states εi to final energy states εf, which could be characterized by three parameters, was obtained to fit the numerical data and was used to solve the steady-state master equation. Distributions of the trajectories with respect to energies and impact parameters are presented, and several typical trajectories are shown to illustrate the important features of the collisions. The contribution to the over-all reaction rate from the ``complex mechanism'' was also obtained.

Bibliography

Shui, V. H. (1972). Monte Carlo Trajectory Calculations of the Three-Body Recombination and Dissociation of Diatomic Molecules. The Journal of Chemical Physics, 57(4), 1704â1717.

Authors 1

Ven H. Shui (first)

References 40 Referenced 24

10.1063/1.1730846 / J. Chem. Phys. (1960)
10.1002/9780470140154.ch5 / Advan. Chem. Phys. (1967)
10.1063/1.1674368 / J. Chem. Phys. (1970)
{'key': '2024020909291285600_r4'}
10.1063/1.1676558 / J. Chem. Phys. (1971)
10.1039/df9623300173 / Discussions Faraday Soc. (1962)
10.1063/1.1697125 / J. Chem. Phys. (1965)
10.1063/1.1677856 / J. Chem. Phys. (1972)
{'key': '2024020909291285600_r9'}
{'key': '2024020909291285600_r10'}
{'key': '2024020909291285600_r11', 'first-page': '1', 'volume': '12', 'year': '1970', 'journal-title': 'SIAM Rev.'} / SIAM Rev. (1970)
{'key': '2024020909291285600_r12'}
{'key': '2024020909291285600_r13'}
{'key': '2024020909291285600_r14'}
{'key': '2024020909291285600_r15'}
10.1039/tf9373300283 / Trans. Faraday Soc. (1937)
10.1021/ja01552a024 / J. Am. Chem. Soc. (1958)
10.1063/1.1730840 / J. Chem. Phys. (1960)
10.1039/df9623300183 / Discussions Faraday Soc. (1962)
10.1039/df9623300198 / Discussions Faraday Soc. (1962)
10.1039/tf9635902750 / Trans. Faraday Soc. (1963)
10.1063/1.1840360 / J. Chem. Phys. (1967)
10.1063/1.1742067 / J. Chem. Phys. (1955)
{'key': '2024020909291285600_r23a'}
10.1063/1.1730029 / J. Chem. Phys. (1959)
10.1063/1.1730649 / J. Chem. Phys. (1959)
{'key': '2024020909291285600_r25a', 'first-page': '942', 'volume': '33', 'year': '1960', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1960)
10.1063/1.1695686 / J. Chem. Phys. (1965)
10.1063/1.1675570 / J. Chem. Phys. (1971)
10.1016/0022-4073(65)90072-5 / J. Quant. Spectry. Radiative Transfer (1965)
10.1063/1.1677339 / J. Chem. Phys. (1972)
10.1063/1.1726735 / J. Chem. Phys. (1966)
{'key': '2024020909291285600_r31', 'first-page': '201', 'volume': 'A296', 'year': '1967', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1967)
10.1021/j100868a056 / J. Phys. Chem. (1967)
10.1021/j100680a029 / J. Phys. Chem. (1971)
10.1063/1.1668690 / J. Chem. Phys. (1968)
10.1063/1.1726870 / J. Chem. Phys. (1966)
10.1063/1.1761099 / Phys. Fluids (1965)
10.1063/1.1761771 / Phys. Fluids (1966)
10.1063/1.1761770 / Phys. Fluids (1966)

Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 4:02 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 5:29 a.m.)
Indexed	11 months, 3 weeks ago (Aug. 31, 2024, 5:27 a.m.)
Issued	53 years ago (Aug. 15, 1972)
Published	53 years ago (Aug. 15, 1972)
Published Print	53 years ago (Aug. 15, 1972)

Funders 0

None

BibTeX

@article{Shui_1972, title={Monte Carlo Trajectory Calculations of the Three-Body Recombination and Dissociation of Diatomic Molecules}, volume={57}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1678459}, DOI={10.1063/1.1678459}, number={4}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Shui, Ven H.}, year={1972}, month=aug, pages={1704–1717} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        8,
        31
      ]
    ],
    "date-time": "2024-08-31T09:27:21Z",
    "timestamp": 1725096441604
  },
  "reference-count": 40,
  "publisher": "AIP Publishing",
  "issue": "4",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1972,
        8,
        15
      ]
    ]
  },
  "abstract": "<jats:p>The modified phase-space theory of reaction rates has been applied to the problem of the three-body recombination and dissociation of diatomic molecules. The results illustrate the important influence of the weak attractive minimum in the third-body interaction potential and the effect of barrier penetration for recombination at low temperatures. The system N2+Ar was used as a typical illustrative example, and good agreement was obtained between the theoretical predictions and the experimental measurements of the reaction rate coefficients over the temperature range 200\u201312 000\u00b0K. The recrossing factor and the nonequilibrium factor were obtained from Monte Carlo trajectory calculations for states near the dissociation limit. The trajectories were sampled within the reaction zone with a weight proportional to the equilibrium reaction rate, and numerically integrated in both timewise directions to determine the complete histories of the collisions. A simple, separable function for the equilibrium transition rate R(\u03b5i, \u03b5f) from initial energy states \u03b5i to final energy states \u03b5f, which could be characterized by three parameters, was obtained to fit the numerical data and was used to solve the steady-state master equation. Distributions of the trajectories with respect to energies and impact parameters are presented, and several typical trajectories are shown to illustrate the important features of the collisions. The contribution to the over-all reaction rate from the ``complex mechanism'' was also obtained.</jats:p>",
  "DOI": "10.1063/1.1678459",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2004,
        2,
        6
      ]
    ],
    "date-time": "2004-02-06T21:02:35Z",
    "timestamp": 1076101355000
  },
  "page": "1704-1717",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 24,
  "title": "Monte Carlo Trajectory Calculations of the Three-Body Recombination and Dissociation of Diatomic Molecules",
  "prefix": "10.1063",
  "volume": "57",
  "author": [
    {
      "given": "Ven H.",
      "family": "Shui",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020909291285600_r1",
      "doi-asserted-by": "crossref",
      "first-page": "1035",
      "DOI": "10.1063/1.1730846",
      "volume": "32",
      "year": "1960",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r2",
      "doi-asserted-by": "crossref",
      "first-page": "85",
      "DOI": "10.1002/9780470140154.ch5",
      "volume": "13",
      "year": "1967",
      "journal-title": "Advan. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r3",
      "doi-asserted-by": "crossref",
      "first-page": "2547",
      "DOI": "10.1063/1.1674368",
      "volume": "53",
      "year": "1970",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r4"
    },
    {
      "key": "2024020909291285600_r5",
      "doi-asserted-by": "crossref",
      "first-page": "3126",
      "DOI": "10.1063/1.1676558",
      "volume": "55",
      "year": "1971",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r6",
      "doi-asserted-by": "crossref",
      "first-page": "173",
      "DOI": "10.1039/df9623300173",
      "volume": "33",
      "year": "1962",
      "journal-title": "Discussions Faraday Soc."
    },
    {
      "key": "2024020909291285600_r7",
      "doi-asserted-by": "crossref",
      "first-page": "2284",
      "DOI": "10.1063/1.1697125",
      "volume": "43",
      "year": "1965",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r8",
      "doi-asserted-by": "crossref",
      "first-page": "4266",
      "DOI": "10.1063/1.1677856",
      "volume": "56",
      "year": "1972",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r9"
    },
    {
      "key": "2024020909291285600_r10"
    },
    {
      "key": "2024020909291285600_r11",
      "first-page": "1",
      "volume": "12",
      "year": "1970",
      "journal-title": "SIAM Rev."
    },
    {
      "key": "2024020909291285600_r12"
    },
    {
      "key": "2024020909291285600_r13"
    },
    {
      "key": "2024020909291285600_r14"
    },
    {
      "key": "2024020909291285600_r15"
    },
    {
      "key": "2024020909291285600_r16",
      "doi-asserted-by": "crossref",
      "first-page": "283",
      "DOI": "10.1039/tf9373300283",
      "volume": "33",
      "year": "1937",
      "journal-title": "Trans. Faraday Soc."
    },
    {
      "key": "2024020909291285600_r17",
      "doi-asserted-by": "crossref",
      "first-page": "5090",
      "DOI": "10.1021/ja01552a024",
      "volume": "80",
      "year": "1958",
      "journal-title": "J. Am. Chem. Soc."
    },
    {
      "key": "2024020909291285600_r18",
      "doi-asserted-by": "crossref",
      "first-page": "1001",
      "DOI": "10.1063/1.1730840",
      "volume": "32",
      "year": "1960",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r19",
      "doi-asserted-by": "crossref",
      "first-page": "183",
      "DOI": "10.1039/df9623300183",
      "volume": "33",
      "year": "1962",
      "journal-title": "Discussions Faraday Soc."
    },
    {
      "key": "2024020909291285600_r20",
      "doi-asserted-by": "crossref",
      "first-page": "198",
      "DOI": "10.1039/df9623300198",
      "volume": "33",
      "year": "1962",
      "journal-title": "Discussions Faraday Soc."
    },
    {
      "key": "2024020909291285600_r21",
      "doi-asserted-by": "crossref",
      "first-page": "2750",
      "DOI": "10.1039/tf9635902750",
      "volume": "59",
      "year": "1963",
      "journal-title": "Trans. Faraday Soc."
    },
    {
      "key": "2024020909291285600_r22",
      "doi-asserted-by": "crossref",
      "first-page": "123",
      "DOI": "10.1063/1.1840360",
      "volume": "46",
      "year": "1967",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r23",
      "doi-asserted-by": "crossref",
      "first-page": "617",
      "DOI": "10.1063/1.1742067",
      "volume": "23",
      "year": "1955",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r23a"
    },
    {
      "key": "2024020909291285600_r24",
      "doi-asserted-by": "crossref",
      "first-page": "691",
      "DOI": "10.1063/1.1730029",
      "volume": "30",
      "year": "1959",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r25",
      "doi-asserted-by": "crossref",
      "first-page": "1531",
      "DOI": "10.1063/1.1730649",
      "volume": "31",
      "year": "1959",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r25a",
      "first-page": "942",
      "volume": "33",
      "year": "1960",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r26",
      "doi-asserted-by": "crossref",
      "first-page": "263",
      "DOI": "10.1063/1.1695686",
      "volume": "42",
      "year": "1965",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r27",
      "doi-asserted-by": "crossref",
      "first-page": "4717",
      "DOI": "10.1063/1.1675570",
      "volume": "55",
      "year": "1971",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r28",
      "doi-asserted-by": "crossref",
      "first-page": "369",
      "DOI": "10.1016/0022-4073(65)90072-5",
      "volume": "5",
      "year": "1965",
      "journal-title": "J. Quant. Spectry. Radiative Transfer"
    },
    {
      "key": "2024020909291285600_r29",
      "doi-asserted-by": "crossref",
      "first-page": "1163",
      "DOI": "10.1063/1.1677339",
      "volume": "56",
      "year": "1972",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r30",
      "doi-asserted-by": "crossref",
      "first-page": "623",
      "DOI": "10.1063/1.1726735",
      "volume": "44",
      "year": "1966",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r31",
      "first-page": "201",
      "volume": "A296",
      "year": "1967",
      "journal-title": "Proc. Roy. Soc. (London)"
    },
    {
      "key": "2024020909291285600_r32",
      "doi-asserted-by": "crossref",
      "first-page": "3071",
      "DOI": "10.1021/j100868a056",
      "volume": "71",
      "year": "1967",
      "journal-title": "J. Phys. Chem."
    },
    {
      "key": "2024020909291285600_r33",
      "doi-asserted-by": "crossref",
      "first-page": "1552",
      "DOI": "10.1021/j100680a029",
      "volume": "75",
      "year": "1971",
      "journal-title": "J. Phys. Chem."
    },
    {
      "key": "2024020909291285600_r34",
      "doi-asserted-by": "crossref",
      "first-page": "599",
      "DOI": "10.1063/1.1668690",
      "volume": "48",
      "year": "1968",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r35",
      "doi-asserted-by": "crossref",
      "first-page": "1378",
      "DOI": "10.1063/1.1726870",
      "volume": "44",
      "year": "1966",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020909291285600_r36",
      "doi-asserted-by": "crossref",
      "first-page": "26",
      "DOI": "10.1063/1.1761099",
      "volume": "8",
      "year": "1965",
      "journal-title": "Phys. Fluids"
    },
    {
      "key": "2024020909291285600_r36a",
      "doi-asserted-by": "crossref",
      "first-page": "1047",
      "DOI": "10.1063/1.1761771",
      "volume": "9",
      "year": "1966",
      "journal-title": "Phys. Fluids"
    },
    {
      "key": "2024020909291285600_r36b",
      "doi-asserted-by": "crossref",
      "first-page": "1046",
      "DOI": "10.1063/1.1761770",
      "volume": "9",
      "year": "1966",
      "journal-title": "Phys. Fluids"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/57/4/1704/18881140/1704_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/57/4/1704/18881140/1704_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        9
      ]
    ],
    "date-time": "2024-02-09T10:29:43Z",
    "timestamp": 1707474583000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/57/4/1704/70686/Monte-Carlo-Trajectory-Calculations-of-the-Three"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1972,
        8,
        15
      ]
    ]
  },
  "references-count": 40,
  "journal-issue": {
    "issue": "4",
    "published-print": {
      "date-parts": [
        [
          1972,
          8,
          15
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.1678459",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1972,
        8,
        15
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1972,
        8,
        15
      ]
    ]
  }
}