Tetrahedral Geometry and the Dipole Moment of Molecules

摘要

Many publications that report the determination of the tetrahedral bond angle have been recorded in this Journal. Dore considered the geometry of the tetrahedron in relation to that of a surrounding cube (1); Kawa considered a similar approach but he used the low of cosines (2). Brittin (3), Snatzke (4), Duffey (5) and Sutcliffe (6) employed vector algebra. Gombert (7), Cockburn (8) and Apak (9) used analytical geometry. Glaister (10) used spherical polar coordinates and the dot product, and latter on he employed trigonometry (11). Woolf used trigonometry and a close-packing approach (12). Some of the demonstrations are rather complex and not appropriate for students who attend the first courses. Some students cannot understand these concepts and they can only learn a qualitative estimation. Our approach is similar to McCllough's (13)-more complete, and we have made it very suitable.