Abstract
Kinetics of an association and dissociation of single elements with the effects of translational and rotational diffusion and angular limitations is discussed. Separated clusters embedded in a solution of orientable single elements are considered.
Steady-state positional and angular distribution of single elements is calculated from the equation of translational-rotational diffusion and the boundary conditions proposed for orientation-limited association. Although spherical orientable elements are assumed, the model can be used for non-spherical particles with aspect ratios close to unity.
Diffusion-limited rate constants of association and dissociation are proposed which depend on translational and rotational diffusion constants of single elements, the tolerance angle of the association, and the cluster size.
Effective concentration of single elements and effective rate constants are expressed by the equilibrium and diffusion-limited rate constants. Effects of finite diffusion rates and finite tolerance angle are discussed.
The equations of the kinetic model of nucleation are modified due to the diffusion-limited rate of the association.
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References
Kramers HA (1940) Physica 7:284
Chandrasekhar S (1943) Rev Mod Phys 15:1
Smoluchowski MW (1917) Z Physik Chemie 29:129
Collins FC, Kimball GE (1949) J Colloid Sci 4:425
Waite TR (1958) J Chem Phys 28:103
Bailey RT, North AM, Pethrick RA (1981) In: Molecular motion in high polymers”, Clarendon Press, p. 376
Solc K, Stockmayer WH (1971) J Chem Phys 54:2982
Solc K, Stockmayer WH (1973) Int J Chem Kin 5:733
Schurr JM (1970) Biophys J 10:700
Schmitz KS, Schurr JM (1972) J Phys Chem 76:534
Schurr JM, Schmitz KS (1976) J Phys Chem 80:1934
Ziabicki A, Jarecki L, submitted to J Chem Phys
Kirkwood JG, Auer PL (1951) J Chem Phys 19:281
Doi M, Edwards SF (1986) In: Theory of polymer dynamics, Clarendon Press, Oxford
Ziabicki A, Jarecki L (1984) J Chem Phys 80:5751
Jarecki L (1991) Colloid Polym Sci 269:777
Volmer M, Veber A (1926) Z Physik Chemie 119:227
Frenkel J (1946) Kinetic Theory of Liquids, Oxford Univ Press, London
Turnbull D, Fisher JC (1946) J Chem Phys 17:71
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Jarecki, L. Effects of translational and rotational diffusion on the association in kinetic model of nucleation. Colloid Polym Sci 272, 784–796 (1994). https://doi.org/10.1007/BF00652419
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DOI: https://doi.org/10.1007/BF00652419