Atomic Derivation of the characteristic impedance of the vacuum

[Physicsguru]

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 $$= Z_0 = 376.730 313 461 ohms$$

CODATA value: Characteristic impedance of the vacuum

Regards,

Guru

 

[dextercioby]

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

If someone would be able to do that,he would cash my vote for the Nobel in 2005... :tongue2:

Daniel.

 

[Pieter Kuiper]

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.

 

[dextercioby]

Heaviside-Lorentz...The one used in QFT.

Daniel.

 

[Creator]

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...$$\sqrt{\mu_0/\epsilon_0}$$