Quantitative Studies on Dendritic Solidification

  1. Prof. J. V. Wood2,
  2. Prof. Dr. L. Schultz3 and
  3. Prof. Dr. D. M. Herlach4
  1. E. Kaufmann,
  2. I. Stalder and
  3. J. H. Bilgram

Published Online: 25 APR 2006

DOI: 10.1002/3527607277.ch18

Materials Development and Processing - Bulk Amorphous Materials, Undercooling and Powder Metallurgy, Volume 8

Materials Development and Processing - Bulk Amorphous Materials, Undercooling and Powder Metallurgy, Volume 8

How to Cite

Kaufmann, E., Stalder, I. and Bilgram, J. H. (2000) Quantitative Studies on Dendritic Solidification, in Materials Development and Processing - Bulk Amorphous Materials, Undercooling and Powder Metallurgy, Volume 8 (eds J. V. Wood, L. Schultz and D. M. Herlach), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527607277.ch18

Editor Information

  1. 2

    University of Nottingham, Division of Materials, Nottingham NG7 2RD, United Kingdom

  2. 3

    Institut für Festkorper- und Werkstofforschung Dresden e.V., Postfach 270016, 01171 Dresden, Germany

  3. 4

    Deutsches Zentrum für Luft- und Raumfahrt e.V., Linder Hohe, 51170 Köln, Germany

Author Information

  1. Laboratorium für Festkörperphysik, ETH, 8093-Zürich, Switzerland

Publication History

  1. Published Online: 25 APR 2006
  2. Published Print: 27 JUN 2000

Book Series:

  1. EUROMAT 99

ISBN Information

Print ISBN: 9783527301935

Online ISBN: 9783527607273

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Keywords:

  • xenon dendrites;
  • dendritic solidification;
  • quantitative studies

Summary

Xenon dendrites and their temporal development are characterized by shape parameters. We determine these parameters in situ during solidification in a large volume of supercooled melt. Xenon is considered as a transparent model substance for metals. The influence of material properties on shape parameters can be taken into account by scaling laws and the influence of various supercoolings by the radius R of curvature of the dendrite tip. The determination of shape parameters lead to the following results: The contour of the dendrite tip can be described quantitatively by a theory of E. Brener. The trunk of the dendrite is not axisymmetric and its maximum diameter is d = (18)2)R. Sidebranches start to grow at a distance z 18R behind the tip. Close to the tip the distance between two sidebranches is λ = (3.2)0.4)R. Far from the tip this distance increases during the so called coarsening process in discrete steps by a kind of a period doubling process λ Δ 2λ Δ4λ … The growth rate of those sidebranches, which survive in the coarsening process, is 50 % of the growth rate of the dendrite tip. Sidebranches do not grow along a crystallographic axis, but along the maximum thermal gradient. The sidebranches are enclosed in an envelope with an opening angle Φ = 251)31, which is independent of supercooling. These data are supposed to be useful as benchmark data for test of theoretical treatments of dendritic solidification.