### Abstract

We consider nucleation of crystalline phase in a glass-forming melt which is quenched at some arbitrary rate, S, and then reheated at some other (typically smaller) rate, H. In conventional (steady-state) approaches it is assumed that the nucleation rate is a function of temperature only, so that the number of nucleated crystallites is proportional to 1/S+ 1/7H. We demonstrate, however, that in general the nucleation rate depends on the quench/heating rate and that there exists an S- and H-dependent temperature region which effectively does not contribute to nucleation, so that the aforementioned scaling does not hold. An expression for the non-steady-state nucleation rate is derived analytically. In certain cases, the number of nucleated crystallites can be reduced by orders of magnitude compared to the steady-state predictions. The results are tested against numerically exact data obtained from the Turnbull-Fisher nucleation model.

Original language | English (US) |
---|---|

Pages (from-to) | 1094-1102 |

Number of pages | 9 |

Journal | The Journal of Chemical Physics |

Volume | 108 |

Issue number | 3 |

State | Published - Jan 15 1998 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*The Journal of Chemical Physics*,

*108*(3), 1094-1102.

**The fast cooling/heating rate effects in devitrification of glasses. I. Number of nucleated particles.** / Shneidman, V. A.; Uhlmann, Donald R.

Research output: Contribution to journal › Article

*The Journal of Chemical Physics*, vol. 108, no. 3, pp. 1094-1102.

}

TY - JOUR

T1 - The fast cooling/heating rate effects in devitrification of glasses. I. Number of nucleated particles

AU - Shneidman, V. A.

AU - Uhlmann, Donald R

PY - 1998/1/15

Y1 - 1998/1/15

N2 - We consider nucleation of crystalline phase in a glass-forming melt which is quenched at some arbitrary rate, S, and then reheated at some other (typically smaller) rate, H. In conventional (steady-state) approaches it is assumed that the nucleation rate is a function of temperature only, so that the number of nucleated crystallites is proportional to 1/S+ 1/7H. We demonstrate, however, that in general the nucleation rate depends on the quench/heating rate and that there exists an S- and H-dependent temperature region which effectively does not contribute to nucleation, so that the aforementioned scaling does not hold. An expression for the non-steady-state nucleation rate is derived analytically. In certain cases, the number of nucleated crystallites can be reduced by orders of magnitude compared to the steady-state predictions. The results are tested against numerically exact data obtained from the Turnbull-Fisher nucleation model.

AB - We consider nucleation of crystalline phase in a glass-forming melt which is quenched at some arbitrary rate, S, and then reheated at some other (typically smaller) rate, H. In conventional (steady-state) approaches it is assumed that the nucleation rate is a function of temperature only, so that the number of nucleated crystallites is proportional to 1/S+ 1/7H. We demonstrate, however, that in general the nucleation rate depends on the quench/heating rate and that there exists an S- and H-dependent temperature region which effectively does not contribute to nucleation, so that the aforementioned scaling does not hold. An expression for the non-steady-state nucleation rate is derived analytically. In certain cases, the number of nucleated crystallites can be reduced by orders of magnitude compared to the steady-state predictions. The results are tested against numerically exact data obtained from the Turnbull-Fisher nucleation model.

UR - http://www.scopus.com/inward/record.url?scp=0005228947&partnerID=8YFLogxK

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M3 - Article

VL - 108

SP - 1094

EP - 1102

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 3

ER -