Bonding force of an optical electron and the nucleus of ion Cr3+

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Discussion Overview

The discussion focuses on determining the bonding force between an optical electron and the nucleus of the Cr3+ ion, particularly in the context of pink ruby under normal and excited states. Additionally, participants explore how to calculate the magnetic moment of the electron during Electron Paramagnetic Resonance (EPR) under specific resonance conditions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about methods to find the bonding force of an optical electron with the Cr3+ nucleus in both normal and excited states.
  • Another participant provides a link to a database for spectral data related to Cr3+ and suggests that it contains information on spectral lines and relative g-factors.
  • A participant requests clarification on how to navigate the database to find the necessary values, expressing a lack of expertise in physics.
  • One response explains that the magnetic moment remains constant, but the Landé g-factor varies between different levels or atoms, and provides a formula relating the magnetic moment to the effective field and g-factor.
  • The influence of the atom's environment on the effective field is noted, suggesting that this variability is significant for EPR analysis.
  • Participants mention the need to consult literature for relevant g-factor values and other parameters.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and expertise regarding the calculations involved, and while some technical details are shared, there is no consensus on the methods or values needed to resolve the initial inquiry.

Contextual Notes

The discussion highlights potential limitations in accessing specific values and assumptions regarding the influence of environmental factors on the magnetic moment and bonding force calculations.

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Does anybody know how to find bonding force of an optical electron and the nucleus of ion Cr3+ (in pink ruby during normal and excited states (excitement of light))?

And also how to find the magnetic moment of the same electron during EPR (during excitement by a radiowave)? Condition of the resonance is: Intensity = 3.6 kGs and Frequency = 9.4 GHz (in normal and excited states).

Thanks for any suggestions!
 
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The http://physics.nist.gov/PhysRefData/ASD/index.html" .
 
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Thanks for the link alxm. Can you give a clue how to find this value in the database? I'm not a physicist...
 
Well you enter "Cr III" and you get your spectral lines, or levels, depending on which database you look in. I believe it has relative g-factors as well.

The magnetic moment is always the same ([tex]\mu_B[/tex]), it's the http://en.wikipedia.org/wiki/Landé_g-factor" that differs between levels/atoms. Given your g-factor, field strength and frequency, you have:
[tex]h\nu = g_\mathrm{e} \mu_B B_\mathrm{eff} = g_\mathrm{e} \mu_B B_0 (1 - \sigma)[/tex]

Where [tex]B_{eff}[/tex] is the effective field, since the atom's environment (chemical bonds, if it's in a molecule, etc) is going to influence the field, which you can also express with the number [tex]\sigma[/tex]. (If it didn't change with environment, EPR wouldn't be much use in analyzing chemical structure)

You might have to look into the literature to find relevant values for your g-factors, etc.
 
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