Open AccessTWO-WAVELENGTH NEIGHBORHOOD PRINCIPLE OF TWO-PHASE STRUCTURE INVARIANTS
Author(s) -
Sun Hong-Lin,
Gang Zhang,
Guo Dongyao
Publication year - 1989
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.38.824
Subject(s) - simple (philosophy) , wavelength , phase (matter) , structured program theorem , computer science , mathematics , algorithm , statistical physics , pure mathematics , optics , physics , quantum mechanics , philosophy , epistemology
An approximate result of first neighborhood is given in ref [5] . In consideration of the importance of strict treatment about this problem, a new formula is derived. According to the computational comparision between the two formulas, it can be concluded that the approximate method in ref [5] is very simple, convenitnt and reliable. It is also concluded by adding random errors to the magnitudes of normalized structure factors that Hauptman's conclusion, namely, the two-phase structure invariants are only dependent on chemical composition and independent of the structure factors, is still correct in the two-wavelength case. Considering this fact, we suggest a fast computational method of the two-wavelength struc-ture invariants which may be useful in practical macrostructure crystallography.