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Calculation of Grain-Boundary Thickness in Polycrystalline Ice of Low Salinity

  • Amiya K. Chatterjee and H.H.G. Jellinek

Abstract

Grain-boundary thickness in polycrystalline ice is a function of time (age), salinity, tempera-turf ·, and mode of sample preparation. It is directly proportional to the salinity of the ice and the number-average grain diameter (spheres) or edge-length (cubes). Practically the total salt content resides in the grain boundary for low salinity ice samples. The gram-boundary thickness S is also directly proportional to growth time of the grains raised to a power n(n = 0.25 to 0.3) and increases exponentially with absolute temperature for constant salinity and age. The energy of activation for growth increases with salinity. The results of the grain-boundary thickness calculations are useful for evaluating grain-boundary diffusion coefficients.

Résumé

L'épaisseur de la couche limite des grains dans la glace polycristalline est fonction du temps (age de la glace), de la salinité, de la température et du mode de préparation de l'échantillon. Elle est directement proportionnelle à la salinité de la glace et au nombre exprimant le diamètre moyen des grains (case des grains sphériques ou la longueur du côté des grains (grains cubiques). Pratiquement, la totalité de la teneur en sel est concentrée dans la couche limite pour les échantillons de glace à faible salinité. L'épaisseur δ de la couche limite des grains est aussi directement proportionnelle au temps de croissance des grains élevé à une puissance n (n = 0,25 à 0,3) et croit cxponentiellement avec la température absolue à salinité et âge constant. L'énergie d'activation nécessaire à la croissance des grains augmente avec la salinité. Les résultats des calculs d'épaisseur de la couche limite des grains sont utiles pour l'évaluation des coefficients de diffusion dans les couches limites.

Zusammenfassung

Die Korngrenzendicke in polykristallinem Eis ist eine Funktion der Zeit (des Alters), des Salzgehaltes, der Temperatur und der Art der Probenpräparierung. Sie ist direkt proportional zum Salzgehall des Eises und zum mittleren Korndurchmesser (bei Kugeln) oder zur mittleren Kanteniängc (bei Kuben). Praktisch konzentriert sich der gesamte Salzgehalt bei schwach salzigen Proben auf die Korngrenzen. Die Korn-grenzendicke δ ist auch direkt proportional zur Wachstumszeil der Körner mit dem Exponenten n (n = 0,25 bis 0,3) Und steigt exponentiell mit der absoluten Temperatur bei konstantem Salzgehalt und Alter an. Die Aktivalionsenergie für das Wachstum steigt mit dem Salzgehalt. Die Ergebnisse der Berechnungen von Korngrenzendicken sind zur Ermittlung der Diffusionskoeffizienten der Korngrenzen nützlich.

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References

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Calculation of Grain-Boundary Thickness in Polycrystalline Ice of Low Salinity

  • Amiya K. Chatterjee and H.H.G. Jellinek

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