Three-dimensional representations of hexagonal ice crystals and hail particles of elliptical cross sections

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Abstract

Mathematical expressions based on earlier ideas of the author are given to describe the three-dimensional surfaces of hexagonal ice crystals and conical graupel and hail particles. In the former class, the expressions closely parallel the expression for prolate spheroid but the cross section transformed into a hexagon by an expression designed previously. A special transformation containing a preset constant, ε, is implemented so that the three-dimensional, instead of two-dimensional, surface of the crystal is described. In the case of conical particles with elliptical cross sections, the equation that describes a conical body of revolution is modified to describe conical bodies with elliptical cross sections.

Original languageEnglish
Pages (from-to)1089-1093
Number of pages5
JournalJournal of the Atmospheric Sciences
Volume56
Issue number8
DOIs
Publication statusPublished - 1999 Apr 15

All Science Journal Classification (ASJC) codes

  • Atmospheric Science

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