Abstract
The rate ν of bimolecular chemical reaction A+A=B+C is analyzed for simple models of reactive cross sections. Collisions of particles colliding with energy E larger than a relatively low characteristic energy E Lare either non-reactive (reversed Prigogine-Xhrouet model = rPX) or the ability to react is decreasing for E>E L(reversed line-of-centres model = rLC). After solution of the Boltzmann equation analytical expressions for the distribution function f and the rate coefficient k have been derived. It is shown that the Arrhenius activation energy E Ais small and even negative for sufficiently small E L. The non-equilibrium corrections to ν are small.
Similar content being viewed by others
References
Chapman S, Cowling TG (1960) The mathematical theory of non-uniform gases. Cambridge University, Cambridge
Ferziger JH, Kaper HG (1972) Mathematical theory of transport phenomena in gases. North-Holland, Amsterdam
Prigogine I, Xhrouet E (1949) Physica 15:913–931
Prigogine I, Mahieu M (1950) Physica 16:51–64
Present RD (1959) J Chem Phys 31:747–750
Pyun CW, Ross J (1964) J Chem Phys 40:2572–2583
Kapral R, Hudson S, Ross J (1970) J Chem Phys 53:4387–4393
Present RD, Morris M (1969) J Chem Phys 50:151–160
Pyun CW (1968) J Chem Phys 48:1306–1311
Pyun CW (1969) J Phys Soc Jpn 26:48–50
Shizgal B, Karplus M (1970) J Chem Phys 52:4262–4278
Shizgal B (1974) Chem Phys 5:129–135
Stiller W, Schmidt R (1980) Z Phys Chem Leipzig 261:271–281
Schmidt R, Stiller W (1983) Beitr Plasmaphys 23:41–50
Schmidt R, Schuster R, Stiller W (1985) React Kinet Catal Lett 28:353–357
Popielawski J (1985) J Chem Phys 83:790–796
Cukrowski AS, Popielawski J (1986) Chem Phys 109:215–226
Cukrowski AS, Popielawski J (1986) Acta Phys Pol A70:321–340; Cukrowski AS, Popielawski J (1987) Acta Phys Pol A71:853–859
Menzinger M, Wolfgang R (1969) Angew Chem 81:446–452
Le Roy RL (1969) J Phys Chem 73:4338–4344
Stiller W, Naumann W (1974) Z Phys Chem Leipzig 255:464–474; Stiller W, Naumann W (1976) Z Phys Chem Leipzig 257:507–519; Stiller W, Naumann W (1976) 257:1038–1048
Mahan BH (1960) J Chem Phys 32:362–364
Gioumousis G, Stevenson DP (1958) J Chem Phys 29:294–299
Rebentrost F (1973) Ber Bunsen Ges Phys Chem 77:575–578
Rebentrost F (1972) Chem Phys Lett 17:489–491
Johnston HS (1966) Gas phase rate theory. Ronald Press, New York
Weston Jr RE, Schwarz H (1972) Chemical kinetics. Prentice Hall, Englewood Cliffs
Eu BC, Li KW (1977) Physica 88A:135–157
Stiller W (1978) Doctoral Thesis B. Academy of Sciences of the GDR, Berlin
Tolman RC (1920) J Am Chem Soc 42:2506–2528
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cukrowski, A.S., Stiller, W. & Schmidt, R. Kinetic description of bimolecular reactions with low energy cross sections in dilute gases. Theoret. Chim. Acta 73, 67–78 (1988). https://doi.org/10.1007/BF00526651
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00526651