Why do atoms have magnetic moments, but no electric dipole moments?

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Discussion Overview

The discussion revolves around the reasons why atoms exhibit magnetic moments but generally do not have electric dipole moments. It explores theoretical aspects, including the roles of electron spins, orbital contributions, and symmetry considerations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question whether the magnetic moment of an atom arises solely from the spins of electrons or if orbital contributions are also significant.
  • It is suggested that the magnetic moment is related to moving electric charges, while the existence of magnetic charges remains uncertain.
  • One participant notes that in hydrogen, the 2s and 2p orbitals are degenerate, allowing for the existence of eigenstates with a permanent electric dipole moment.
  • Another participant argues that most atoms lack permanent electric dipole moments due to the requirement of a mixed parity state, complicating the situation with the Lamb shift.
  • It is mentioned that the absence of permanent electric dipole moments is linked to inversion symmetry, with some participants indicating that parity is not an exact symmetry in nature, leading to ongoing precision experiments to measure small dipole moments in certain atoms.

Areas of Agreement / Disagreement

Participants express differing views on the contributions to magnetic and electric dipole moments, with some agreeing on the role of symmetry while others highlight specific cases like hydrogen. The discussion remains unresolved regarding the implications of these points.

Contextual Notes

The discussion includes assumptions about the nature of parity and the conditions under which electric dipole moments can exist, as well as the complexities introduced by phenomena like the Lamb shift.

wdlang
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i do not know why.

does the magnetic moment of an atom come only from the spins of the electrons?
 
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wdlang said:
does the magnetic moment of an atom come only from the spins of the electrons?
Or their orbitals.
In both cases, it comes from moving electric charges.
I guess moving magnetic charges could produce an electric dipole moment, but there are no magnetic charges (or if they exist, we didn't find them yet, so they are certainly not in regular atoms).
 
In hydrogen, the 2s and 2p orbitals are degenerate, so there exist eigenstates of the hamiltonian which carry a permanent electric dipole moment.
 
Most atoms do not have permanent electric dipole moments because that requires a mixed parity state.
The degeneracy of the 2s and 2p orbitals of hydrogen allow that to have an electric dipole moment,
but this get a bit complicated by the Lamb shift.
 
The absence of states with a permanent electric dipole moment is a consequence of inversion symmetry (parity):
Under inversion an eigenstate transforms into ##\pm## itself, so that no electric dipole moment is possible.
However, parity is not an exact symmetry of nature. Hence people make some precision experiments trying to measure a small dipole moment of some atoms.
 

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