Atomic Derivation of the characteristic impedance of the vacuum

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Discussion Overview

The discussion revolves around the possibility of deriving the characteristic impedance of the vacuum (Z₀) using Bohr's atomic model of the hydrogen atom. Participants explore the relationship between atomic theory and electromagnetic properties, specifically questioning the relevance of Bohr's model to this concept.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant, Guru, asks if Bohr's analysis can be used to compute Z₀ and inquires about necessary modifications to the model.
  • Another participant, Daniel, expresses skepticism about the connection between Bohr's atomic model and Z₀, suggesting that deriving such a relationship would be groundbreaking.
  • A third participant notes that the characteristic impedance of the vacuum is not a material property but rather a consequence of the choice of unit system, indicating that it is defined rather than measured.
  • Daniel references the Heaviside-Lorentz unit system used in quantum field theory (QFT) in relation to the discussion.
  • Another participant questions the relevance of Bohr's analysis to the impedance of free space and suggests a simpler method to calculate impedance using the square root of the permeability and permittivity of free space.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of Bohr's model to the characteristic impedance of the vacuum, with no consensus reached on the connection or the validity of using atomic models for this purpose.

Contextual Notes

Some participants highlight the dependency of the characteristic impedance on the choice of unit system, indicating that its value may vary in different contexts.

Physicsguru
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Can anyone here use Bohr's analysis of the hydrogen atom, to compute the characteristic impedance of the vacuum? And if not, then how would the Bohr model need to be modified, in order to obtain Z0?

Characteristic impedance of the vacuum [tex]= Z_0 = 376.730 313 461 ohms[/tex]

CODATA value: Characteristic impedance of the vacuum

Regards,

Guru
 
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What in the God's name has Bohr ATOMIC model have to with the Z_{0} ? :eek:

If someone would be able to do that,he would cash my vote for the Nobel in 2005... :-p

Daniel.
 
This impedance is not really a "material property". It is a consequency of our choice of unit system. Your link shows that the value is "exact". It has no uncertainty, because it is not the result of a measurement, just a consequence of definitions.

If I remember correctly, the impedance of vacuum comes out as unity (dimensionless) in some different unit system.
 
Last edited:
Heaviside-Lorentz...The one used in QFT.

Daniel.
 
Physicsguru said:
Can anyone here use Bohr's analysis of the hydrogen atom, to compute the characteristic impedance of the vacuum?
Guru

Why should Bohr's analysis include the impedance of free space?

Here's a much easier way to get impedance...[tex]\sqrt{\mu_0/\epsilon_0}[/tex] :biggrin:
 

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