### Abstract

A derivation is presented for the fraction of material transformed as a function of time, X(t), for one-dimensional phase transformations which occur via continuous nucleation and growth and which produce anisotropic particles. This derivation, which accounts for shielding effects and does not assume site saturation, is the first such derivation given for this type of problem. The analytical formulas which are found are evaluated in an approximate fashion for two different values of growth rate anisotropy. The results are compared with numerical simulations, and it is shown that the expressions derived are highly accurate.

Original language | English |
---|---|

Pages (from-to) | 5138-5144 |

Number of pages | 7 |

Journal | Journal of Chemical Physics |

Volume | 105 |

Issue number | 12 |

Publication status | Published - 1996 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Chemical Physics*,

*105*(12), 5138-5144.

**Transformation kinetics in one-dimensional processes with continuous nucleation : The effect of shielding.** / Weinberg, Michael C.; Birnie, Dunbar P.

Research output: Contribution to journal › Article

*Journal of Chemical Physics*, vol. 105, no. 12, pp. 5138-5144.

}

TY - JOUR

T1 - Transformation kinetics in one-dimensional processes with continuous nucleation

T2 - The effect of shielding

AU - Weinberg, Michael C.

AU - Birnie, Dunbar P

PY - 1996

Y1 - 1996

N2 - A derivation is presented for the fraction of material transformed as a function of time, X(t), for one-dimensional phase transformations which occur via continuous nucleation and growth and which produce anisotropic particles. This derivation, which accounts for shielding effects and does not assume site saturation, is the first such derivation given for this type of problem. The analytical formulas which are found are evaluated in an approximate fashion for two different values of growth rate anisotropy. The results are compared with numerical simulations, and it is shown that the expressions derived are highly accurate.

AB - A derivation is presented for the fraction of material transformed as a function of time, X(t), for one-dimensional phase transformations which occur via continuous nucleation and growth and which produce anisotropic particles. This derivation, which accounts for shielding effects and does not assume site saturation, is the first such derivation given for this type of problem. The analytical formulas which are found are evaluated in an approximate fashion for two different values of growth rate anisotropy. The results are compared with numerical simulations, and it is shown that the expressions derived are highly accurate.

UR - http://www.scopus.com/inward/record.url?scp=33645812358&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645812358&partnerID=8YFLogxK

M3 - Article

VL - 105

SP - 5138

EP - 5144

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 12

ER -