Transformation kinetics in one-dimensional processes with continuous nucleation: The effect of shielding

Michael C. Weinberg; Dunbar P. Birnie

doi:10.1063/1.472357

Transformation kinetics in one-dimensional processes with continuous nucleation: The effect of shielding

Michael C. Weinberg, Dunbar P. Birnie

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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 (US)
Pages (from-to)	5138-5144
Number of pages	7
Journal	Journal of Chemical Physics
Volume	105
Issue number	12
DOIs	https://doi.org/10.1063/1.472357
State	Published - 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)
Physical and Theoretical Chemistry

Access to Document

10.1063/1.472357

Cite this

@article{9ca6d05d9a974c51b6ff677878f178d1,

title = "Transformation kinetics in one-dimensional processes with continuous nucleation: The effect of shielding",

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.",

author = "Weinberg, {Michael C.} and Birnie, {Dunbar P.}",

year = "1996",

doi = "10.1063/1.472357",

language = "English (US)",

volume = "105",

pages = "5138--5144",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics Publising LLC",

number = "12",

}

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

U2 - 10.1063/1.472357

DO - 10.1063/1.472357

M3 - Article

AN - SCOPUS:33645812358

SN - 0021-9606

VL - 105

SP - 5138

EP - 5144

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 12

ER -

Transformation kinetics in one-dimensional processes with continuous nucleation: The effect of shielding

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this