Geometrical probabilities in heterogeneous kinetics: 60 Years of side by side development

Journal of Mathematical Chemistry

Volumn 24, Issue 1-3, 1998, Pages 261-290

  Korobov, A ^a  

^a Skovoroda Kharkov National Pedagogical University   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032352947     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019135006122     Document Type: Review

References (89)

1. A.N. Kolmogorov, Izv. Akad. Nauk SSSR 3 (1937) 555 (in Russian).
2. W.A. Johnson and R.F. Mehl, Trans. Amer. Inst. Ming. Metal. Engrs. 135 (1939) 416.
3. M. Avrami, J. Phys. Chem. 7 (1939) 1103; 8 (1940) 212; 9 (1941) 177.
4. M. Avrami, J. Phys. Chem. 7 (1939) 1103; 8 (1940) 212; 9 (1941) 177.
5. M. Avrami, J. Phys. Chem. 7 (1939) 1103; 8 (1940) 212; 9 (1941) 177.
6. V.Z. Belen'kiy, Geometric-Probabilistic Models of Crystallization (Moscow, Nauka, 1980) (in Russian).
7. M.E. Brown, D. Dollimore and A.K. Galwey, Reactions in the Solid State (Elsevier, Amsterdam, 1980).
8. B. Delmon, Introduction á la Cinétique Hétérogene (Éditions Technip, Paris, 1969).
9. P. Barret, Cinétique Hétérogene (Gauthier-Villars, Paris, 1973).
10. J. Sestak, Thermophysical Properties of Solids, Their Measurements and Theoretical Thermal Analysis (Elsevier, Amsterdam, 1984).
11. D. Young, Decomposition of Solids (Pergamon Press, 1966).
12. W.E. Garner, ed., Chemistry of the Solid State (Butterworths Scientific Publications, London, 1995).
13. A. Korobov, Thermochim. Acta 243 (1994) 79.
14. L.A. Santalò, Integral Geometry and Geometric Probability (Addison-Wesley, Reading, MA, 1976).
15. E.F. Harding and D.G. Kendall, eds., Stochastic Geometry (Wiley, New York, 1974).
16. D. Stoyan, W.S. Kendall and J. Mecke, Stochastic Geometry and Its Applications (Wiley, Chichester, 1987).
17. M.G. Kendall and P.A.P. Moran, Geometrical Probabilities (Griffin, London, 1963).
18. P.A.P. Moran, J. Appl. Probab. 3 (1966) 453.
19. P.A.P. Moran, J. Appl. Probab. 1 (1969) 73.
20. D. Stoyan and S. Koshitski, in: Combinatorial Principles of Stochastic Geometry, ed. R.V. Ambartzumian (Armenian Academy of Sciences, Yerevan, 1980) (in Russian).
21. R.V. Ambartzumian, Adv. Appl. Probab. 9 (1977) 792.
22. J. Møller, Lectures on Random Voronoi Tessellations, Lecture Notes in Statist., Vol. 87 (Springer, New York, 1994).
23. J. Møller, Adv. Appl. Probab. 24 (1992) 814.
24. J. Møller, Adv. Appl. Probab. 27 (1995) 367.
25. A. Okabe, B. Boots and K. Sugihara, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (Wiley, New York, 1992).
26. J. Mecke, in: Combinatorial Principles of Stochastic Geometry, ed. R.V. Ambartzumian (Armenian Academy of Sciences, Erevan, 1980) (in Russian).
27. D. Stoyan, Math. Nachr. 128 (1986) 215.
28. I. Langmuir, J. Amer. Chem. Soc. 38 (1916) 2221.
29. A.K. Galwey and G.G.T. Guarini, Proc. Roy. Soc. London Ser. A 441 (1993) 313.
30. A.K. Galwey, J. Thermal Anal. 38 (1992) 99.
31. E.A. Prodan, Topochemistry of Crystals (Nauka and Technika, Minsk, 1990) (in Russian).
32. M. Volmer, Kinetic der Phasenbildung (Steinkopf, Dresden, 1939).
33. A. MacDonald and C. Hinshelwood, J. Amer. Chem. Soc. 47 (1925) 2764.
34. A.K. Galwey and G.M. Laverty, Solid State Ion. 38 (1990) 155.
35. A. Korobov, Thermochim. Acta 254 (1995) 1.
36. V. Kolshutter and M. Luthi, Helv. Chem. Acta 13 (1930) 978.
37. S. Roginskiy and E. Shultz, Ukr. Khim. Zh. (Ukr. Chem. J.) 3 (1928) 177 (in Russian).
38. S.L. Kiperman, Foundations of Chemical Kinetics in Heterogeneous Catalysis (Chemistry, Moscow, 1979) (in Russian).
39. A.N. Kolmogorov, Grundbegriffe der Wahrsheinlichkeitsrechnung (Springer, Berlin, 1933).
40. J. Šestak and J. Malek, Solid State Ion. 63-65 (1993) 245.
41. N. Koga and H. Tanaka, J. Thermal Anal. 41 (1944) 455.
42. A. Korobov, J. Thermal Anal. 39 (1993) 1451.
43. A. Korobov, J. Thermal Anal. 44 (1995) 187.
44. H.P. Navada, Thermochim. Acta 242 (1994) 239.
45. I.R. Krichevskiy, Concepts and Foundations of Thermodynamics (Chemistry, Moscow, 1962) (in Russian).
46. De Donder and P. Van Rysselberghe, L'Affinite (Paris, 1936).
47. H. Eyring, S.H. Lin and S.M. Lin, Basic Chemical Kinetics (Wiley, New York, 1980).
48. B.E. Erofeev, Dokl. Akad. Nauk SSSR 52 (1946) 515.
49. I.I. Blechman, A.D. Myshkis and J.G. Panovko, Mechanics and Applied Mathematics: Logic and Peculiarities of Mathematical Description (Nauka, Moscow, 1983) (in Russian).
50. K.L. Mampel, Z. Phys. Chem. A 187 (1940) 235.
51. O. Todes and R. Bogutskiy, Zh. Eksper. Teoret. Fiz. 11 (1941) 133; 12 (1942) 79 (in Russian).
52. O. Todes and R. Bogutskiy, Zh. Eksper. Teoret. Fiz. 11 (1941) 133; 12 (1942) 79 (in Russian).
53. S. Roginskiy and O. Todes, Izv. Akad. Nauk USSR Ser. Khim. 4 (1940) 475 (in Russian).
54. P.I. Bel'kevich, Izv. Akad. Nauk Belorus. 3 (1950) 145 (in Russian).
55. P.I. Bel'kevich and B.E. Erofeev, Izv. Akad. Nauk Belorus. 1 (1953) 61 (in Russian).
56. J. Sestak and G. Berggren, Thermochim. Acta 3 (1971) 1.
57. B.E. Erofeev, Zh. Fiz. Khim. 9 (1937) 828 (in Russian).
58. B.E. Erofeev, Zh. Fiz. Khim. 9-10 (1940) 1217 (in Russian).
59. J.P. Elder, Thermochim. Acta 272 (1996) 41.
60. S. Vyazovkin and D. Dollimore, J. Chem. Inf. Comput. Sci. 36 (1996) 42.
61. A. Korobov, Heterogen. Chem. Rev. 3 (1996) 477.
62. S.V. Viasovkin and A.I. Lesnikovich, J. Thermal Anal. 32 (1987) 249.
63. S.V. Viasovkin and A.I. Lesnikovich, J. Thermal Anal. 32 (1987) 909.
64. M.E. Brown and A.K. Galway, Thermochim. Acta 29 (1979) 129.
65. E.A. Prodan, Inorganic Topochemistry (Nauka and Tekhnika, Minsk, 1986) (in Russian).
66. J. Feder, Fractals (Plenum Press, New York, 1988).
67. K.J. Falconer, Fractal Geometry (Wiley, Chichister, 1990).
68. D. Avnir, ed., The Fractal Approach to Heterogeneous Chemistry (Wiley, New York, 1989).
69. A. Korobov, J. Thermal Anal. 46 (1996) 49.
70. S. Benson, The Foundations of Chemical Kinetics (McGraw-Hill, 1960).
71. W. Blaschke, Vorlesungen über Integralgeometrie (Erstes Heft., Leipzig, 1936).
72. J.L. Mejering, Philips Res. Rep. 8 (1953) 270.
73. U.R. Evans, Trans. Faraday Soc. 41 (1945) 365.
74. E.N. Gilbert, Ann. Math. Statist. 3 (1962) 958.
75. R.E. Miles, Adv. Appl. Probab. Suppl. 4 (1972) 243.
76. R.V. Ambartzumian, Geometrical Measures and Processes (Nauka, Moscow, 1989) (in Russian).
77. G. Matheron, Random Sets and Integral Geometry (Wiley, New York, 1975).
78. K. Matthes, J. Kerstan and J. Mecke, Infinitely Divisible Point Processes (Wiley, New York, 1978).
79. A.D. Alexandrov, Math. Papers 2 (1937) 307 (in Russian).
80. A. Korobov, Thermochim. Acta 224 (1993) 281.
81. G.G.T. Guarini, J. Thermal Anal. 41 (1994) 287.
82. F. Bechstedt and R. Enderlein, Semiconductor Surfaces and Interfaces, Their Atomic and Electronic Structures (Akademie-Verlag, Berlin, 1988).
83. A. Korobov, Thermochim. Acta 279 (1996) 191.
84. B.N. Delone, N.P. Dolbilin and M.P. Shtogrin, Proc. Math. Inst. Acad. Sci. SSSR 148 (1978) 109 (in Russian).
85. B. Grünbaum and G.C. Shephard, Tilings and Patterns (Freeman, New York, 1987).
86. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Holt, Rinehart and Winston, New York, 1976).
87. R. V. Galiulin and M. Senchal, in: Patterns of Symmetry, eds. M. Senechal and G. Fleck (University of Massachusetts Press, Amherst, MA, 1977).
88. A. Korobov, J. Math. Chem. 17 (1995) 323.
89. S.N. Chiu, Adv. Appl. Probab. 27 (1995) 889.