Wednesday, May 21, 2014

Just Lots of Colors, Retro Disco

If Planck's relation is not true this is still plausible because Planck is correct up to the first plateau of the stepped Energy vs Frequency curve.  Energy is quantized because the electrons are arranged in shells and there is no interaction between the photons and the electrons when the radius of the photon helix path is between electron shells.

From the previous post "All Creatures Great and Small", we modeled the dipole as a spring of spring constant k=2h.  If we look at the expression for a dipole again,

 δEl=14πεoq.az3

where δEl is force per unit charge then obviously the load to the model spring is a charge q.

We may also see that,

k=2h=14πεoq,   so

h=18πεo.q

We may have just derived Planck constant.  Just kidding, the charge on the photon dipole is,

q=h.8πεo

q = 6.62606957*10^(-34)*8*pi*8.854187817620*10^(−12) = 1.4745*10^(-43) C

A very small partial charge indeed.

Furthermore, such a spring system has a resonance,

freso=12πkq=12π2hq

freso = (2*6.62606957*10^(-34)/ (1.4745*10^(-43)))^(0.5)/(2*pi) = 94.803/(2.pi)= 15.088 kHz

in which case the dipole distance a increases greatly or f increases greatly and since energy is proportional to frequency (Planck relation), energy of the photon increases greatly.  Death Rays!

Note:  Do not confuse freso with f, the dipole distance a is made to oscillate at freso,  and begins to display wide swing,  and the photon ray shows wide color variations as f changes widely.