How Do Electric and Magnetic Fields Influence Atomic Orbital Shapes?

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SUMMARY

The discussion centers on the influence of electric and magnetic fields on atomic orbital shapes, specifically addressing how external fields can perturb electron motion. While everyday magnetic fields do not significantly alter orbital shapes, extreme cases like magnetars can stretch hydrogen atoms up to 200 times their normal length, distorting electron clouds and rendering chemistry impossible. The conversation highlights the importance of understanding the Hamiltonian for electrons in magnetic fields, emphasizing that static fields can also affect atomic behavior without requiring time-dependent terms.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of Hamiltonian mechanics
  • Knowledge of atomic structure and electron orbitals
  • Familiarity with electromagnetic theory
NEXT STEPS
  • Study the Hamiltonian for electrons in magnetic fields
  • Research the effects of magnetars on atomic structures
  • Explore quantum effects of electromagnetic waves on atomic orbitals
  • Investigate electric dipole and quadrupole transitions in quantum mechanics
USEFUL FOR

Physicists, quantum mechanics students, and researchers interested in atomic behavior under electromagnetic influences.

Shubhamroy047
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Does the shape of atomic orbital changes when exposed to electric or magnetic field?
 
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What do you think?

Where does the orbital come from (solution of which equation)? How does that equation change when there is an external field?
 
No and yes. The distances of electron clouds is quite short and the forces very strong. No magnetic field in everyday experience changes their shape in any non-negligible way. As DrClaude pointed out though, look at what the equations do when you introduce a magnetic field.

Magnetars are the super heavyweights of magnetism and do some wonky things to atoms. Hydrogen atoms stretch 200 times their normal length and distort electron clouds so much that chemistry becomes impossible. https://en.m.wikipedia.org/wiki/Magnetar
 
newjerseyrunner said:
No magnetic field in everyday experience changes their shape in any non-negligible way.
This is incorrect. See, e.g., https://en.wikipedia.org/wiki/Magnetic_dipole_transition
It's weaker than an electric dipole transition, but it's comparable to an electric quadrupole transition.
 
It's also worth pointing out that the field doesn't have to be time-dependent in order to perturb the electron motion. Think of the Hamiltonian for an electron in a B field with an added 1/r potential term.
 
My mistake.

Interesting. The article Looks like it's talking about quantum effects of an electromagnetic wave. Does this apply to a static field? The original post to be is describing something like an atom next to a bar magnet.
 
newjerseyrunner said:
Does this apply to a static field?
Yes. In the link I provided above, none of the terms in the Hamiltonian are required to be time dependent. Think about the motion of a free electron in a static B field, then add a 1/r potential for the nucleus. In fact, even without the electron's spin, you get coupling between the magnetic field generated by the electron's orbital angular momentum and the B field (assuming L≠0).
 
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