DOI: 10.1063/1.439776. General kinetic models of activated processes in condensed phases

General kinetic models of activated processes in condensed phases

10.1063/1.439776

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We continue our study of chemical relaxation processes [J. Chem. Phys. 69, 2143 (1978)] in considering a classical particle in a one-dimensional bistable potential coupled to a heat bath environment. We introduce a class of kinetic models which subsumes the special cases of the Rayleigh–Fokker–Planck, BGK, and Lorentz models. Using both analytical and numerical techniques we calculate the chemical relaxation rate of this system for different kinetic models and coupling strengths. We find that except in the Rayleigh limit, for a small range of couplings, transition state theory is quantitatively a poor approximation. Transition state theory is particularly inaccurate in the Lorentz limit, where it overestimates the rate by a factor of ten or more for all values of the coupling.

Bibliography

Skinner, J. L., & Wolynes, P. G. (1980). General kinetic models of activated processes in condensed phases. The Journal of Chemical Physics, 72(9), 4913â4927.

Authors 2

James L. Skinner (first)
Peter G. Wolynes (additional)

References 84 Referenced 174

10.1063/1.436814 / J. Chem. Phys. (1978)
10.1063/1.436049 / J. Chem. Phys. (1978)
10.1063/1.438028 / J. Chem. Phys. (1979)
10.1063/1.436578 / J. Chem. Phys. (1978)
10.1063/1.436121 / J. Chem. Phys. (1978)
10.1063/1.436579 / J. Chem. Phys. (1978)
10.1016/0009-2614(78)80093-1 / Chem. Phys. Lett. (1978)
10.1016/0009-2614(78)80094-3 / Chem. Phys. Lett. (1978)
10.1063/1.435917 / J. Chem. Phys. (1978)
{'key': '2024020919044762400_r5a', 'first-page': '2822', 'volume': '69', 'year': '1978', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1978)
{'key': '2024020919044762400_r6'}
10.1016/S0031-8914(40)90098-2 / Physica (Utrecht) (1940)
10.1016/0375-9601(75)90827-0 / Phys. Lett. A (1975)
10.1103/PhysRevB.13.3272 / Phys. Rev. B (1976)
10.1007/BF01268919 / J. Stat. Phys. (1977)
10.1007/BF01025834 / J. Stat. Phys. (1975)
{'key': '2024020919044762400_r12', 'first-page': '49', 'volume': '86', 'year': '1977', 'journal-title': 'Physica A (Utrecht)'} / Physica A (Utrecht) (1977)
10.1103/PhysRevB.14.347 / Phys. Rev. B (1976)
10.1016/S0031-8914(56)80019-0 / Physica (Utrecht) (1956)
10.1103/PhysRev.121.1668 / Phys. Rev. (1961)
10.1103/PhysRevLett.21.973 / Phys. Rev. Lett. (1968)
10.1016/0003-4916(69)90153-5 / Ann. Phys. (New York) (1969)
10.1063/1.1674737 / J. Chem. Phys. (1971)
10.1063/1.436725 / J. Chem. Phys. (1978)
10.1063/1.436726 / J. Chem. Phys. (1978)
10.1063/1.436694 / J. Chem. Phys. (1978)
10.1016/0009-2614(79)80114-1 / Chem. Phys. Lett. (1979)
10.1103/PhysRev.75.1864 / Phys. Rev. (1949)
10.1103/PhysRev.94.511 / Phys. Rev. (1954)
10.1063/1.436863 / J. Chem. Phys. (1978)
10.1039/dc9786600095 / Faraday Disc. Chem. Soc. (1978)
{'key': '2024020919044762400_r20'}
{'key': '2024020919044762400_r21', 'first-page': '135', 'volume': '20', 'year': '1971', 'journal-title': 'Adv. Chem. Phys.'} / Adv. Chem. Phys. (1971)
{'key': '2024020919044762400_r22', 'first-page': '438', 'volume': '7', 'year': '1905', 'journal-title': 'Proc. Acad. Amsterdam'} / Proc. Acad. Amsterdam (1905)
{'key': '2024020919044762400_r23', 'first-page': '561', 'volume': '96', 'year': '1979', 'journal-title': 'Physica A (Utrecht)'} / Physica A (Utrecht) (1979)
10.1063/1.1675541 / J. Chem. Phys. (1971)
10.1063/1.1671699 / J. Chem. Phys. (1969)
{'key': '2024020919044762400_r26'}
10.1002/9780470140154.ch1 / Adv. Chem. Phys. (1967)
10.1016/0301-0104(75)87052-2 / Chem. Phys. (1975)
10.1016/0301-0104(76)89007-6 / Chem. Phys. (1976)
{'key': '2024020919044762400_r28b'}
{'key': '2024020919044762400_r29'}
10.1098/rstl.1867.0004 / Philos. Trans. Roy. Soc. London (1867)
10.1063/1.1730817 / J. Chem. Phys. (1960)
10.1016/0009-2614(76)85147-0 / Chem. Phys. Lett. (1976)
{'key': '2024020919044762400_r33', 'first-page': '1461', 'volume': '6', 'year': '1974', 'journal-title': 'J. Phys. A'} / J. Phys. A (1974)
10.1088/0305-4470/7/9/011 / J. Phys. A (1974)
10.1063/1.1725183 / J. Chem. Phys. (1964)
10.1063/1.437673 / J. Chem. Phys. (1979)
10.1063/1.1673493 / J. Chem. Phys. (1970)
{'key': '2024020919044762400_r37', 'first-page': '243', 'volume': '10', 'year': '1952', 'journal-title': 'Quant. J. Appl. Math.'} / Quant. J. Appl. Math. (1952)
{'key': '2024020919044762400_r38'}
10.1103/PhysRev.131.1138 / Phys. Rev. (1963)
{'key': '2024020919044762400_r40'}
10.1063/1.1725944 / J. Chem. Phys. (1964)
{'key': '2024020919044762400_r42'}
10.1080/00268977800102471 / Mol. Phys. (1978)
10.1063/1.434863 / J. Chem. Phys. (1977)
10.1080/00268977700101031 / Mol. Phys. (1977)
10.3891/acta.chem.scand.14-1310 / Acta Chem. Scand. (1960)
{'key': '2024020919044762400_r47'}
{'key': '2024020919044762400_r48'}
{'key': '2024020919044762400_r49'}
{'key': '2024020919044762400_r50'}
{'key': '2024020919044762400_r51'}
{'key': '2024020919044762400_r52'}
{'key': '2024020919044762400_r53'}
{'key': '2024020919044762400_r54'}
{'key': '2024020919044762400_r55'}
10.1021/cr60314a004 / Chem. Rev. (1978)
10.1063/1.1678975 / J. Chem. Phys. (1973)
{'key': '2024020919044762400_r58'}
10.1021/ja00491a008 / J. Am. Chem. Soc. (1978)
{'key': '2024020919044762400_r60'}
10.1063/1.1731836 / J. Chem. Phys. (1961)
10.1063/1.1731837 / J. Chem. Phys. (1961)
{'key': '2024020919044762400_r62'}
{'key': '2024020919044762400_r63'}
10.1039/df9694800039 / Discuss. Faraday Soc. (1969)
10.1080/00268977100101941 / Mol. Phys. (1971)
10.1063/1.1727922 / J. Chem. Phys. (1966)
10.1063/1.436596 / J. Chem. Phys. (1978)
{'key': '2024020919044762400_r68'}

Dates

Type	When
Created	22 years, 5 months ago (Feb. 28, 2003, 3 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 4:05 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 10:05 p.m.)
Issued	45 years, 3 months ago (May 1, 1980)
Published	45 years, 3 months ago (May 1, 1980)
Published Print	45 years, 3 months ago (May 1, 1980)

Funders 0

None

BibTeX

@article{Skinner_1980, title={General kinetic models of activated processes in condensed phases}, volume={72}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.439776}, DOI={10.1063/1.439776}, number={9}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Skinner, James L. and Wolynes, Peter G.}, year={1980}, month=may, pages={4913–4927} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        2,
        11
      ]
    ],
    "date-time": "2024-02-11T03:05:23Z",
    "timestamp": 1707620723277
  },
  "reference-count": 84,
  "publisher": "AIP Publishing",
  "issue": "9",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1980,
        5,
        1
      ]
    ]
  },
  "abstract": "<jats:p>We continue our study of chemical relaxation processes [J. Chem. Phys. 69, 2143 (1978)] in considering a classical particle in a one-dimensional bistable potential coupled to a heat bath environment. We introduce a class of kinetic models which subsumes the special cases of the Rayleigh\u2013Fokker\u2013Planck, BGK, and Lorentz models. Using both analytical and numerical techniques we calculate the chemical relaxation rate of this system for different kinetic models and coupling strengths. We find that except in the Rayleigh limit, for a small range of couplings, transition state theory is quantitatively a poor approximation. Transition state theory is particularly inaccurate in the Lorentz limit, where it overestimates the rate by a factor of ten or more for all values of the coupling.</jats:p>",
  "DOI": "10.1063/1.439776",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2003,
        2,
        28
      ]
    ],
    "date-time": "2003-02-28T20:00:35Z",
    "timestamp": 1046462435000
  },
  "page": "4913-4927",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 174,
  "title": "General kinetic models of activated processes in condensed phases",
  "prefix": "10.1063",
  "volume": "72",
  "author": [
    {
      "given": "James L.",
      "family": "Skinner",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Department of Chemistry, Harvard University, Cambridge, Massachusetts 02138"
        }
      ]
    },
    {
      "given": "Peter G.",
      "family": "Wolynes",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Chemistry, Harvard University, Cambridge, Massachusetts 02138"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020919044762400_r1",
      "doi-asserted-by": "crossref",
      "first-page": "2143",
      "DOI": "10.1063/1.436814",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r2",
      "doi-asserted-by": "crossref",
      "first-page": "2959",
      "DOI": "10.1063/1.436049",
      "volume": "68",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r3",
      "doi-asserted-by": "crossref",
      "first-page": "4056",
      "DOI": "10.1063/1.438028",
      "volume": "70",
      "year": "1979",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r4",
      "doi-asserted-by": "crossref",
      "first-page": "5246",
      "DOI": "10.1063/1.436578",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r4a",
      "doi-asserted-by": "crossref",
      "first-page": "3203",
      "DOI": "10.1063/1.436121",
      "volume": "68",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r4b",
      "doi-asserted-by": "crossref",
      "first-page": "5261",
      "DOI": "10.1063/1.436579",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r4c",
      "doi-asserted-by": "crossref",
      "first-page": "244",
      "DOI": "10.1016/0009-2614(78)80093-1",
      "volume": "54",
      "year": "1978",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024020919044762400_r4d",
      "doi-asserted-by": "crossref",
      "first-page": "248",
      "DOI": "10.1016/0009-2614(78)80094-3",
      "volume": "54",
      "year": "1978",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024020919044762400_r5",
      "doi-asserted-by": "crossref",
      "first-page": "1903",
      "DOI": "10.1063/1.435917",
      "volume": "68",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r5a",
      "first-page": "2822",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r6"
    },
    {
      "key": "2024020919044762400_r7",
      "doi-asserted-by": "crossref",
      "first-page": "284",
      "DOI": "10.1016/S0031-8914(40)90098-2",
      "volume": "7",
      "year": "1940",
      "journal-title": "Physica (Utrecht)"
    },
    {
      "key": "2024020919044762400_r8",
      "doi-asserted-by": "crossref",
      "first-page": "109",
      "DOI": "10.1016/0375-9601(75)90827-0",
      "volume": "54",
      "year": "1975",
      "journal-title": "Phys. Lett. A"
    },
    {
      "key": "2024020919044762400_r9",
      "doi-asserted-by": "crossref",
      "first-page": "3272",
      "DOI": "10.1103/PhysRevB.13.3272",
      "volume": "13",
      "year": "1976",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020919044762400_r10",
      "doi-asserted-by": "crossref",
      "first-page": "71",
      "DOI": "10.1007/BF01268919",
      "volume": "17",
      "year": "1977",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024020919044762400_r11",
      "doi-asserted-by": "crossref",
      "first-page": "463",
      "DOI": "10.1007/BF01025834",
      "volume": "12",
      "year": "1975",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024020919044762400_r12",
      "first-page": "49",
      "volume": "86",
      "year": "1977",
      "journal-title": "Physica A (Utrecht)"
    },
    {
      "key": "2024020919044762400_r13",
      "doi-asserted-by": "crossref",
      "first-page": "347",
      "DOI": "10.1103/PhysRevB.14.347",
      "volume": "14",
      "year": "1976",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "2024020919044762400_r14",
      "doi-asserted-by": "crossref",
      "first-page": "149",
      "DOI": "10.1016/S0031-8914(56)80019-0",
      "volume": "22",
      "year": "1956",
      "journal-title": "Physica (Utrecht)"
    },
    {
      "key": "2024020919044762400_r14a",
      "doi-asserted-by": "crossref",
      "first-page": "1668",
      "DOI": "10.1103/PhysRev.121.1668",
      "volume": "121",
      "year": "1961",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020919044762400_r14b",
      "doi-asserted-by": "crossref",
      "first-page": "973",
      "DOI": "10.1103/PhysRevLett.21.973",
      "volume": "21",
      "year": "1968",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "2024020919044762400_r14c",
      "doi-asserted-by": "crossref",
      "first-page": "258",
      "DOI": "10.1016/0003-4916(69)90153-5",
      "volume": "54",
      "year": "1969",
      "journal-title": "Ann. Phys. (New York)"
    },
    {
      "key": "2024020919044762400_r14d",
      "doi-asserted-by": "crossref",
      "first-page": "4651",
      "DOI": "10.1063/1.1674737",
      "volume": "54",
      "year": "1971",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r15",
      "doi-asserted-by": "crossref",
      "first-page": "1527",
      "DOI": "10.1063/1.436725",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r15a",
      "doi-asserted-by": "crossref",
      "first-page": "1538",
      "DOI": "10.1063/1.436726",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r15b",
      "doi-asserted-by": "crossref",
      "first-page": "1010",
      "DOI": "10.1063/1.436694",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r16",
      "doi-asserted-by": "crossref",
      "first-page": "4",
      "DOI": "10.1016/0009-2614(79)80114-1",
      "volume": "65",
      "year": "1979",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024020919044762400_r17",
      "doi-asserted-by": "crossref",
      "first-page": "1864",
      "DOI": "10.1103/PhysRev.75.1864",
      "volume": "75",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020919044762400_r18",
      "doi-asserted-by": "crossref",
      "first-page": "511",
      "DOI": "10.1103/PhysRev.94.511",
      "volume": "94",
      "year": "1954",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020919044762400_r19",
      "doi-asserted-by": "crossref",
      "first-page": "2347",
      "DOI": "10.1063/1.436863",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r19a",
      "doi-asserted-by": "crossref",
      "first-page": "95",
      "DOI": "10.1039/dc9786600095",
      "volume": "66",
      "year": "1978",
      "journal-title": "Faraday Disc. Chem. Soc."
    },
    {
      "key": "2024020919044762400_r20"
    },
    {
      "key": "2024020919044762400_r21",
      "first-page": "135",
      "volume": "20",
      "year": "1971",
      "journal-title": "Adv. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r22",
      "first-page": "438",
      "volume": "7",
      "year": "1905",
      "journal-title": "Proc. Acad. Amsterdam"
    },
    {
      "key": "2024020919044762400_r23",
      "first-page": "561",
      "volume": "96",
      "year": "1979",
      "journal-title": "Physica A (Utrecht)"
    },
    {
      "key": "2024020919044762400_r24",
      "doi-asserted-by": "crossref",
      "first-page": "44",
      "DOI": "10.1063/1.1675541",
      "volume": "55",
      "year": "1971",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r25",
      "doi-asserted-by": "crossref",
      "first-page": "14",
      "DOI": "10.1063/1.1671699",
      "volume": "51",
      "year": "1969",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r26"
    },
    {
      "key": "2024020919044762400_r27",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1002/9780470140154.ch1",
      "volume": "13",
      "year": "1967",
      "journal-title": "Adv. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r28",
      "doi-asserted-by": "crossref",
      "first-page": "403",
      "DOI": "10.1016/0301-0104(75)87052-2",
      "volume": "10",
      "year": "1975",
      "journal-title": "Chem. Phys."
    },
    {
      "key": "2024020919044762400_r28a",
      "doi-asserted-by": "crossref",
      "first-page": "59",
      "DOI": "10.1016/0301-0104(76)89007-6",
      "volume": "15",
      "year": "1976",
      "journal-title": "Chem. Phys."
    },
    {
      "key": "2024020919044762400_r28b"
    },
    {
      "key": "2024020919044762400_r29"
    },
    {
      "key": "2024020919044762400_r30",
      "doi-asserted-by": "crossref",
      "first-page": "49",
      "DOI": "10.1098/rstl.1867.0004",
      "volume": "157",
      "year": "1867",
      "journal-title": "Philos. Trans. Roy. Soc. London"
    },
    {
      "key": "2024020919044762400_r31",
      "doi-asserted-by": "crossref",
      "first-page": "913",
      "DOI": "10.1063/1.1730817",
      "volume": "32",
      "year": "1960",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r32",
      "doi-asserted-by": "crossref",
      "first-page": "248",
      "DOI": "10.1016/0009-2614(76)85147-0",
      "volume": "38",
      "year": "1976",
      "journal-title": "Chem. Phys. Lett."
    },
    {
      "key": "2024020919044762400_r33",
      "first-page": "1461",
      "volume": "6",
      "year": "1974",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2024020919044762400_r33a",
      "doi-asserted-by": "crossref",
      "first-page": "1070",
      "DOI": "10.1088/0305-4470/7/9/011",
      "volume": "7",
      "year": "1974",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2024020919044762400_r34",
      "doi-asserted-by": "crossref",
      "first-page": "633",
      "DOI": "10.1063/1.1725183",
      "volume": "40",
      "year": "1964",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r35",
      "doi-asserted-by": "crossref",
      "first-page": "1948",
      "DOI": "10.1063/1.437673",
      "volume": "70",
      "year": "1979",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r36",
      "doi-asserted-by": "crossref",
      "first-page": "3336",
      "DOI": "10.1063/1.1673493",
      "volume": "52",
      "year": "1970",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r37",
      "first-page": "243",
      "volume": "10",
      "year": "1952",
      "journal-title": "Quant. J. Appl. Math."
    },
    {
      "key": "2024020919044762400_r38"
    },
    {
      "key": "2024020919044762400_r39",
      "doi-asserted-by": "crossref",
      "first-page": "1138",
      "DOI": "10.1103/PhysRev.131.1138",
      "volume": "131",
      "year": "1963",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "2024020919044762400_r40"
    },
    {
      "key": "2024020919044762400_r41",
      "doi-asserted-by": "crossref",
      "first-page": "665",
      "DOI": "10.1063/1.1725944",
      "volume": "41",
      "year": "1964",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r42"
    },
    {
      "key": "2024020919044762400_r43",
      "doi-asserted-by": "crossref",
      "first-page": "1435",
      "DOI": "10.1080/00268977800102471",
      "volume": "36",
      "year": "1978",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024020919044762400_r44",
      "doi-asserted-by": "crossref",
      "first-page": "615",
      "DOI": "10.1063/1.434863",
      "volume": "67",
      "year": "1977",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r45",
      "doi-asserted-by": "crossref",
      "first-page": "1207",
      "DOI": "10.1080/00268977700101031",
      "volume": "33",
      "year": "1977",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024020919044762400_r46",
      "doi-asserted-by": "crossref",
      "first-page": "1310",
      "DOI": "10.3891/acta.chem.scand.14-1310",
      "volume": "14",
      "year": "1960",
      "journal-title": "Acta Chem. Scand."
    },
    {
      "key": "2024020919044762400_r47"
    },
    {
      "key": "2024020919044762400_r48"
    },
    {
      "key": "2024020919044762400_r49"
    },
    {
      "key": "2024020919044762400_r50"
    },
    {
      "key": "2024020919044762400_r51"
    },
    {
      "key": "2024020919044762400_r52"
    },
    {
      "key": "2024020919044762400_r53"
    },
    {
      "key": "2024020919044762400_r54"
    },
    {
      "key": "2024020919044762400_r55"
    },
    {
      "key": "2024020919044762400_r56",
      "doi-asserted-by": "crossref",
      "first-page": "407",
      "DOI": "10.1021/cr60314a004",
      "volume": "78",
      "year": "1978",
      "journal-title": "Chem. Rev."
    },
    {
      "key": "2024020919044762400_r57",
      "doi-asserted-by": "crossref",
      "first-page": "4184",
      "DOI": "10.1063/1.1678975",
      "volume": "58",
      "year": "1973",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r58"
    },
    {
      "key": "2024020919044762400_r59",
      "doi-asserted-by": "crossref",
      "first-page": "7171",
      "DOI": "10.1021/ja00491a008",
      "volume": "100",
      "year": "1978",
      "journal-title": "J. Am. Chem. Soc."
    },
    {
      "key": "2024020919044762400_r60"
    },
    {
      "key": "2024020919044762400_r61",
      "doi-asserted-by": "crossref",
      "first-page": "2144",
      "DOI": "10.1063/1.1731836",
      "volume": "34",
      "year": "1961",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r61a",
      "doi-asserted-by": "crossref",
      "first-page": "2156",
      "DOI": "10.1063/1.1731837",
      "volume": "34",
      "year": "1961",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r62"
    },
    {
      "key": "2024020919044762400_r63"
    },
    {
      "key": "2024020919044762400_r64",
      "doi-asserted-by": "crossref",
      "first-page": "39",
      "DOI": "10.1039/df9694800039",
      "volume": "48",
      "year": "1969",
      "journal-title": "Discuss. Faraday Soc."
    },
    {
      "key": "2024020919044762400_r65",
      "doi-asserted-by": "crossref",
      "first-page": "785",
      "DOI": "10.1080/00268977100101941",
      "volume": "21",
      "year": "1971",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024020919044762400_r66",
      "doi-asserted-by": "crossref",
      "first-page": "2284",
      "DOI": "10.1063/1.1727922",
      "volume": "45",
      "year": "1966",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r67",
      "doi-asserted-by": "crossref",
      "first-page": "819",
      "DOI": "10.1063/1.436596",
      "volume": "69",
      "year": "1978",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020919044762400_r68"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/72/9/4913/18922202/4913_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/72/9/4913/18922202/4913_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        9
      ]
    ],
    "date-time": "2024-02-09T21:05:57Z",
    "timestamp": 1707512757000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/72/9/4913/790363/General-kinetic-models-of-activated-processes-in"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1980,
        5,
        1
      ]
    ]
  },
  "references-count": 84,
  "journal-issue": {
    "issue": "9",
    "published-print": {
      "date-parts": [
        [
          1980,
          5,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.439776",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1980,
        5,
        1
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1980,
        5,
        1
      ]
    ]
  }
}