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Title: Moebius inversion and mechanical properties of Ni{sub 3}Al

Book ·
OSTI ID:78346
; ; ;  [1]
  1. Beijing Univ. of Science and Technology (China). Inst. for Applied Physics

Recently, Chen et al. have applied the Moebius inversion formula to a variety of inversion problems with very concise expressions in analysis and with very fast convergence in calculation. The so-called inverse cohesion problem is to determine the pair potentials between atoms from the cohesive energy curve of the crystal. Carlsson, Gelatt and Ehrenreich were the first to solve this problem by using an operational method. In the present work, the authors deduce a new and concise Moebius inversion formula for some real three-dimensional structures, such as the simple cubic, face-centered and L1{sub 2} structures. Then the calculation of the elastic constants for the intermetallic compound Ni{sub 3}Al is performed based on the new Moebius inversion formula. The calculated result is in good agreement with the experiments.

OSTI ID:
78346
Report Number(s):
CONF-941144-; ISBN 1-55899-265-0; TRN: IM9531%%399
Resource Relation:
Conference: Fall meeting of the Materials Research Society (MRS), Boston, MA (United States), 28 Nov - 9 Dec 1994; Other Information: PBD: 1995; Related Information: Is Part Of High-temperature ordered intermetallic alloys VI: Part 1. Materials Research Society symposium proceedings Volume 364; Horton, J. [ed.] [Oak Ridge National Lab., Oak Ridge, TN (United States)]; Baker, I. [ed.] [Dartmouth College, Hanover, NH (United States)]; Hanada, Shuji [ed.] [Tohoku Univ., Sendai (Japan)]; Noebe, R.D. [ed.] [NASA Lewis Research Center, Cleveland, OH (United States)]; Schwartz, D.S. [ed.] [McDonnell Douglas Aerospace, St. Louis, MO (United States)]; PB: 713 p.
Country of Publication:
United States
Language:
English