Ground state energy in Optical Spectroscopy & Atomic Structure

In summary, the conversation discusses the difficulty of finding an exact solution for the ground state of neutral helium atoms. It is mentioned that only numerical approximations are possible. However, an exact solution is possible for the ground state of singly-ionized helium. The individual also asks for clarification on what the problem is specifically asking for.
  • #1
sheri1987
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Homework Statement



I just want to know if there is a relationship between the ground state of Hydrogen which is 13.6 eV and the ground state of Helium. The problem is asking me to find the ground state of Helium, but I am not sure how to go about it. Any advice?

Homework Equations





The Attempt at a Solution

 
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  • #2
It is not possible to find an exact solution for the ground (or any other) state in neutral helium atoms. Only numerical approximations are possible.

However, if the problem is actually asking to find the ground state in singly-ionized helium, He+, an exact solution is possible. Can you clarify what the problem is really asking for?
 
  • #3


Yes, there is a relationship between the ground state energy of Hydrogen and Helium. The ground state energy is the lowest energy level that an atom can have. In atomic structure, the ground state is the state in which all electrons are in their lowest possible energy levels. For Hydrogen, the energy of the ground state is 13.6 eV, while for Helium it is 24.6 eV. This means that Helium has a higher ground state energy than Hydrogen. To find the ground state energy of Helium, you can use the Rydberg formula, which relates the energy levels of Hydrogen and Helium. Alternatively, you can refer to a periodic table, which lists the ground state energy of each element. I would suggest consulting your textbook or asking your instructor for guidance on how to approach this problem.
 

Related to Ground state energy in Optical Spectroscopy & Atomic Structure

1. What is ground state energy in optical spectroscopy and atomic structure?

Ground state energy refers to the lowest possible energy level that an atom or molecule can have. In optical spectroscopy, it is the energy level that electrons occupy when they are in their lowest energy state and are not excited. In atomic structure, it is the energy level that an electron occupies in the lowest energy orbital around the nucleus.

2. How is ground state energy related to atomic stability?

The ground state energy of an atom is directly related to its stability. Atoms with lower ground state energy are more stable than those with higher ground state energy. This is because the electrons in the lower energy levels are more tightly bound to the nucleus, making it more difficult for them to be excited or removed.

3. Can the ground state energy of an atom change?

Yes, the ground state energy of an atom can change if the atom undergoes a chemical reaction or is exposed to external energy, such as light. When this happens, the electrons can be excited to higher energy levels and the ground state energy of the atom is no longer the lowest possible energy level.

4. How is ground state energy measured in optical spectroscopy?

In optical spectroscopy, ground state energy is measured by the amount of energy required to excite an electron from the ground state to a higher energy level. This energy is typically measured in units of joules or electron volts (eV). The difference in energy between the ground state and the excited state is known as the excitation energy.

5. How does ground state energy affect the color of light emitted by atoms?

The ground state energy of an atom plays a key role in determining the color of light emitted by the atom. When an electron in an excited state returns to the ground state, it releases energy in the form of light. The frequency of this light is directly related to the difference in energy between the two states, which is determined by the ground state energy. Therefore, the color of light emitted by an atom is dependent on its ground state energy.

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