Helium ground state questions

In summary, the ground state configuration of helium has a wavefunction that is the product of two hydrogenic 1s wavefunctions and the spin eigenstate of a singlet state. This is due to the fact that, neglecting electron-electron interaction, the potential in helium is the same as in hydrogen, and the wave-function must be antisymmetric under the exchange of electrons, leading to a singlet state for the spin wavefunction.
  • #1
spaghetti3451
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I have having difficulty understanding why the ground state configuration of helium has a wavefunction that is the product of two hydrogenic 1s wavefunctions and the spin eigenstate of a singlet state.

Firstly, why is the space wavefcn hydrogenic,
and secondly, why is the spin wavefcn a singlet state?
 
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  • #2
If you neglect electron-electron interaction, you have the same potential as in the hydrogen atom - just scaled to account for the second proton in the nucleus. And if you evaluate the system numerically, it turns out that the approximation is not so bad.

As electrons are fermions, the wave-function has to be antisymmetric under the exchange of the two electrons. This is not possible with the space-like part of their wave functions - they both have the same state! Therefore, the spins have to be antisymmetric, which requires a singlet state.
 

What is the ground state of helium?

The ground state of helium is a term used to describe the lowest energy state that an atom or molecule can have. In the case of helium, it refers to the state where the two electrons are in their lowest possible energy levels, known as the 1s orbital.

Why is the ground state of helium important?

The ground state of helium is important because it is the most stable and energetically favorable state for the atom. All other excited states have higher energy levels and are less stable, making the ground state the most commonly observed state in nature.

How does the ground state of helium relate to its electron configuration?

The ground state of helium has an electron configuration of 1s2, meaning that both of its electrons are in the 1s orbital. This arrangement is the most stable for helium, as it follows the rules of the Aufbau principle and Pauli exclusion principle.

What is the energy of the ground state of helium?

The energy of the ground state of helium is -79.005 eV (electron volts), which is the energy required to completely remove one of the electrons from the atom. This energy is relatively low compared to other elements, making helium a very stable and unreactive gas.

How does the ground state of helium differ from its excited states?

The ground state of helium differs from its excited states in terms of energy levels. Excited states have higher energy levels and are less stable than the ground state. This means that excited helium atoms are more likely to undergo reactions or emit light as they try to return to their ground state.

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