References

1

A. N. Kolmogorov, Izv. Akad. Nauk SSSR, Ser. Matem No. 3, 355-359 (1937).

2

W. Johnson and R. F. Mehl, TAIME 135, 416-442, Discussion 442-458 (1939); Unpublished details of the derivations in Appendixes A-E deposited as ADI number 1182 with the American Society for Information Science (ISIS), 8720 Georgia Avenue, Silver Spring, MD 20910-3603.

3

Melvin Avrami, JCP , 1103-1112 (1939).

4

Melvin Avrami, JCP 8, 212-224 (1940).

5

Melvin Avrami, JCP 9, 177-184 (1941).

6

J. L. Meijering, Philips Res. Rpts. 8, 270-290 (1953).

7

R. E. Miles, in Proceedings of the Symposium on Statistical and Probalistic Problems in Metallurgy, edited by W. L. Nicholson, Suppl. Adv. Appl. Prob. 243-266 (1972)

8

E. N. Gilbert, Ann. Math. Statist. 33 958-972 (1962).

9

E. N. Gilbert, in Applications of Undergraduate Mathematics in Engineering, edited by B. Noble (Macmillan, NY 1967), Chapt. 16.

10

V. Z. Belen'ky, Geometric Probability Models of Crystallization (Nauka, Moscow, 1980), in Russian.

11

J. W. Christian, The Theory of Transformations in Metals and Alloys, 2nd ed. (Pergamon, 1975) Part I, Chapt. 12.

12

J. L. Jackson, Science 183, 446-447 (1974).

13

F. C. Hull, R. A. Colton, and R. F. Mehl, Trans AIME 150, 185-207 (1942).

14

V. A. Shneidman and M. C. Weinberg, Time-dependent nucleation and growth of (a) crystalline phase during a rapid quench into a glassy state, this volume.

15

John W. Cahn, unpublished results.

16

Appendix D of Johnson and Mehl.[2]

17

John W. Cahn, Acta Met. 4, 449-459 (1956).

18

L. E. Levine, K. L. Narayan, K. F. Kelton, Finite size corrections for the Johnson-Mehl-Avrami-Kolmogorov equations, preprint.

19

K. F. Kelton, K. Lakshmi, L. E. Levine, T. C. Cull and C. S. Ray, Computer modelling of nonisothermal crystallization, preprint.

20

D. Stoyan and W. S. Kendall, Stochastic Geometry and its Applications, (J. Wiley, NY, 1995).

21

F. C. Frank, in Growth and Perfection of Crystals, edited by R. H. Doremus, B. W. Roberts, and D. Turnbull (John Wiley, New York, 1958), 411-419.

22

J. W. Cahn, J. E. Taylor, and C. A. Handwerker, in Sir Charles Frank, OBE, FRS, An
eightieth birthday tribute, edited by R. G. Chambers, J. E. Enderby, A. Keller, A. R. Lang and J. W. Steeds (Adam Hilger, New York, 1991), p 88-118.

23

J. E. Taylor, C. A. Handwerker, and J. W. Cahn, Acta Met Mat 40, 1443-1474 (1992).

24

V. Erukhimovitch and J. Baram, Rev. B50, 5854-5856 (1994); ibid. B 51 6221-6230 (1995).

25

J. Baram and V. Erukhimovitch, Innovations in Mater. Res. 1, 109-118 (1996).

26

A. A. Chernov, Modern Crystallography, III Crystal Growth (Springer, Berlin, 1984), Sect. 7.1.

27

M. T. Mora, this volume.

28

F. S. Ham, J. Appl. Phys., 30, 1518-1525 (1959).

29

John W. Cahn, manuscript in preparation.