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Write the valence bond spatial wavefunction for the bonds in the CH4 molecule using sp3 hybrid...

Write the valence bond spatial wavefunction for the bonds in the CH4 molecule using sp3 hybrid orbitals on C and the 4 H1s orbitals. What does this predict for the H-C-H bond angles?

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The wave bond function for methane is difficult to determine because it depends on 10 electrons, but I've found some papers in which they describe some alternatives. Here's one:

Ψ=C1(s2s*2p6)+C2(s2s*2p5d)+C3(s2s*fp6)+C4(s2s*2p5f′)+C5(s2s*2p5g)

source: "A One‐Center Wave Function for the Methane Molecule". Antony F. Saturno1 and Robert G. Parr1

You can look for another approach more elaborated in:

Ian M. Mills (1958) Wave functions for the methane molecule, Molecular Physics: An International Journal at the Interface Between Chemistry and Physics, 1:2, 99-106.

Where they describe an spherical aproximation and is really more complex.

Hope this helps!

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