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question: Slater determinant

martinalexh
in Quantum Theory

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Hi,

I have a question in the quantum chemistry about slater determinants.

From how many spatial- and spin- coordinates does the slater determinant of a N2-molecule depend on?

And how from how many spin- and spatial coordinates does the spin orbital of an electron generally depend on?

 

i know tht spin orbitals are made of a spatial and a spin part.

The spin part is consists of beta and alpha - therefore 2 coordinates, right?

And the number of spatial coordinates depends on the kind of the orbital (e.g. p-orbital: 3 coordinates), right?

Therefore I wuld assume that the slater determinante of a N2-molecule dpends on 6 spatial- and 2 spin-coordinates?

I am still not sure if I am on the right path, I would very much appreciate your help!

Thanks is advance!

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