TUD Organische ChemieImmelTutorialsOrbitalsHybridOrbitals 2spView or Print (this frame only)View or Print (this frame only)

Back to Main Page Hybrid Orbitals - 2sp
See also:  2sp  3sp  4sp
2spn-
Hybrid Orbitals:
Hybrid Orbitals 2sp1
Hybrid Orbitals 2sp2
Hybrid Orbitals 2sp3
Names:
2sp
2sp2
2sp3
The linear combination of a single 2s-orbital with one 2p-orbital (2px here) results in two 2sp-orbitals of identical shape, but different orientation in space. The images below provide an illustration of the probability contours (90-25% probability level of the electron density, i.e. ψ2) and the nodal plane of a 2sp-orbital (actually not a "planar" plane; ψ = 0), where different colors indicate regions of opposite sign in ψ. The nucleus is located at the origin of the coordinate system as indicated by the orange axes, and thus is embedded not between the lobes on the nodal plane, but within the minor (blue) lobe of the hybrid orbital.

In the bottom row, both 2sp-orbitals and their relative arrangement (linear, with opposite directionality) are displayed, but note that the orbitals have been moved away from the center towards the outside to facilitate visualization (the orange spheres represent the original location of the nucleus). This arrangement of orbitals is suitable to describe the geometry of molecules such as BeH2 or alkines (linearity of H−C≡C-fragments). Click on the images to enlarge view or see the VRML 3D-model.

90% Probability Contour 90-25% Probability Contours Nodal Plane
90% Probability Contour 90-25% Probability Contours Nodal Plane
Both 2sp-Hybrid Orbitals Both 2sp-Hybrid Orbitals Both 2sp-Hybrid Orbitals
Both 2sp-Hybrid Orbitals Both 2sp-Hybrid Orbitals Both 2sp-Hybrid Orbitals
Back to Main Page Cartesian Wave Function - 2sp
LCAOs:
ψ1  =  1/√2 φ2s  +  1/√2 φ2px
ψ2  =  1/√2 φ2s  -  1/√2 φ2px
All graphics shown on this page were created using the MolArch+ program and POVRAY Persistence of Vision Raytracer. Hybrid Orbitals were generated from the pure hydrogenic wave functions of 2s- and 2p-orbitals; Cartesian wave functions were taken from The Orbitron Gallery of Atomic Orbitals and Molecular Orbitals.
© Copyright PD Dr. S. Immel
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