What is meant by the orbital approximation for the wave function of a many electron atom?...

What is meant by the orbital approximation for the wave function of a many electron atom? Describe the limitations of this approximation.

Expert Solution

Multi-Electron Atom
The electron of interest feels the individual electric fields of the other electrons and the nucleus.

queen_honey_blossom answered 2 years ago

11) The wave function of a many-electron closed-shell atom can be expressed as a Slater determinant....

11) The wave function of a many-electron closed-shell atom can be expressed as a Slater determinant. A useful property of determinants is that interchanging any two rows or columns changes their sign and therefore that if any two rows or columns are identical, then the determinant vanishes. Use this property to show that (a) no two electrons can occupy the same orbital with the same spin.

The electron configuration of an atom tells us how many electrons are in each orbital. For...

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If an electron in an atom has an orbital angular momentum with ml = 4, what...

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Consider a hydrogen atom with its electron in the nth orbital.

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What is the number of angular nodes in the wave function for a hypothetical h orbital?...

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Write the electron configurations and orbital spin diagrams for the neutral atom and the kon of...

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If an electron in an atom has orbital angular momentum with ml values limited by

a) If the electron in a hydrogen atom jumps from the 4s orbital to a 2p orbital, will it emit light or will it absorb light?

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If an electron in an atom has orbital angular momentum with ml values limited by ±2,...

If an electron in an atom has orbital angular momentum with ml values limited by ±2, how many values of (a) Lorb,z and (b) μorb,z can the electron have? In terms of h, m, and e, what is the greatest allowed magnitude for (c) Lorb,z and (d) μorb,z? (e) What is the greatest allowed magnitude for the z component of the electron's net angular momentum (orbital plus spin)? (f) How many values (signs included) are allowed for the z component...

For the Li atom, one electron occupies a 2s orbital, even though the average position of...

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