## A Hierarchy of transport approximations for high energy heavy (HZE) ionsNational Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1989 - Mathematics - 33 pages |

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0.2-percent energy spread 170 flux spectral 20Ne beam according 56Fe beam according to second approximate first collision Approximate Monoenergetic Beams approximate second collision beam at 600 CD CM cm 20 cm cm of water column at various Energy Heavy HZE energy spread 20Ne Fluorine flux spectrum Flux From Successive flux spectral term flux spectrum produced fourth-order theories Ganapol given by equations Hampton University Heavy Ion Transport higher order terms Ions in Matter Iron Beam Transport isotopes J. F. Ziegler Langley Research Center MeV/amu Figure NASA nuclear cross sections Pergamon Press Inc perturbation expansion primary beam Ranges of Ions Realistic Ion Beams refs Rj(E Rm(E Rm(Eo Rm(Eq second collision term second-order Sequence of approximations shown in figure spectrum after 20 spread 20Ne beam Stopping and Ranges stopping powers Successive Collision Terms term 10 cm term and approximate third-order three-term expansion Townsend various depths water column water for first-order Water Fragment Wilson