首页   按字顺浏览 期刊浏览 卷期浏览 Crystal growth kinetics of boron oxide under pressure
Crystal growth kinetics of boron oxide under pressure

 

作者: Michael J. Aziz,   Eric Nygren,   James F. Hays,   David Turnbull,  

 

期刊: Journal of Applied Physics  (AIP Available online 1985)
卷期: Volume 57, issue 6  

页码: 2233-2242

 

ISSN:0021-8979

 

年代: 1985

 

DOI:10.1063/1.334368

 

出版商: AIP

 

数据来源: AIP

 

摘要:

We have measured the crystal growth rateuof B2O3‐I in the amorphous phase, as it varied over five orders of magnitude with changes in temperature and pressure. We eliminated the crystal nucleation barrier by seeding the surface of boron oxide glass with crystals.ubecame measurable only when the pressure exceeded a threshold level near 10 kbar. Using the published thermodynamic information on the B2O3system and a crude free‐energy model for the crystal and glass phases, we account qualitatively for our results with the theory of crystal growth limited by the rate of two‐dimensional nucleation of monolayers. The constants for the prefactor, activation energy, activation volume, and ledge tension are determined by fitting. By adjusting the thermodynamic parameters to a set of values that are well within the ranges delineated by their experimental uncertainties, we account quantitatively for the measured growth rates from 300 to 500 °C and from 0 to 30 kbar with the following relation:u(T,P)=(785 m/s)[‖&Dgr;Gm‖/(RT)]1/6×exp[&pgr;×3 A˚(420 erg/cm2)2(28 cm3/mole)/(3kT&Dgr;Gm)]exp[−10 366 cal/mole/(RT)] ×exp[−P×16 cm3/mole/(RT)]×{1−exp[&Dgr;Gm/(RT)]}2/3, with the driving free energy given by &Dgr;Gm(T,P)=(13 cm3/mole) [PM(T)−P] and the melting curve given byPM(T)=(T−450 °C)/(42.6 K/kbar). The ‘‘B2O3crystallization anomaly’’, that crystals have never been observed to grow at atmospheric pressure, is explained, since according to our model, the frequency of two‐dimensional nucleation is negligible at all temperatures at pressures less than 10 kbar.

 

点击下载:  PDF (943KB)



返 回