Croatica Chemica Acta, Vol. 80 No. 2, 2007.
Original scientific paper
A New View of Hybridized Atomic Orbitals from N-dimensional World
Haruo Hosoya
Fuyuko Kido
Sumio Tokita
Abstract
By taking a birds-eye view from the n-dimensional world (or n-space), it was found that thež conventionally used sp, sp2, and sp3 hybridized atomic orbitals belong to the spn hybridization and their geometrical shapes correspond to n-simplexes, which are, respectively, the smallest geometrical objects in n-space. Similarly, sp, sp2d, and sp2d3 hybridizations are found to belong to the spndn–1 hybridization, whose geometrical shapes correspond to n-cross polytopes (obtained from 2n vertices equidistantly located on n rectangular coordinate axes). Another series of n-cube hybridization is also discussed, whose 3-space member is 8-coordinated cubic
hybridization, sp3d3f. General analytical forms of the wavefunctions of these three series of hybridized atomic orbitals in n-space are obtained. The periodic table and related problems of atoms and molecules in n-space are discussed.
Keywords
hybridized atomic orbital; n-dimensional world; n-simplex; cross polytope,; periodic table
Hrčak ID:
12865
URI
Publication date:
12.6.2007.
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