Integrated spatial electron populations in molecules: The electron projection function
Author(s) -
Andrew Streitwieser,
John B. Collins,
John M. McKelvey,
David L. Grier,
John Sender,
A. Glenn Toczko
Publication year - 1979
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.76.6.2499
Subject(s) - projection (relational algebra) , electron , function (biology) , population , electron density , representation (politics) , physics , molecule , chemistry , mathematics , quantum mechanics , algorithm , biology , evolutionary biology , demography , sociology , politics , political science , law
A "projection function," P(x,z), is defined as the partial integral of the molecular electron density, rho(x,y,z), over the region -infinity < y < +infinity. The projection provides a three-dimensional representation of molecular electron distributions. Chemically useful information can be discerned from graphical displays in either perspective plot or contour format. Numerical integration of the function gives the integrated spatial electron population for any region of interest. The use of the projection function and difference functions is exemplified by application to acetaldehyde.
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