Louis Victor de Broglie was a man, not a woman.

His thesis (1924) is translated in english and is freely available.

In french : https://tel.archives-ouvertes.fr/tel-00006807/document

In english : http://aflb.ensmp.fr/LDB-oeuvres/De_Broglie_Kracklauer.htm

http://aflb.ensmp.fr/LDB-oeuvres/De_Broglie_Kracklauer.pdf

His first discovery (1923) was the intrinsic frequency \nu = mc²/h.

Then the Theorem of Harmony of Phases (1923) : an observer seeing the electron and its phase should see the same thing, so the product of the phase velocity and group velocity is c². Because of the Lorentz transform.

In consequence comes the wavelength of the phase, in the non-relativistic domain :

\lambda = h/(mv)

Where v is the group velocity.

Of course, an "observer" is supposed, say the frame of the laboratory, for instance.

Dear Jacques Lavau

Ops!! You are right, he's a man. I'll ask forgiveness in his memory.

Now back to physics.

Let us suppose an heavy ion source, emitting an ion with a velocity v_i . The

ion should have a β^- decay. We select β^- with low energy and velocity v_e ,

in the forward direction.

Let us install a LEED experiment along the beam line and examine what

happens.

The question to answer is: Which wave length, of the electrons associated

wave, will the LEED experiment show?

The law of Louise de Broglie (mvλ =h) must be valid but, in which system of reference?

In the heavy ions system of reference; the electrons wave length should be

λ = h/m(v e − v i )

while in the laboratories system of reference it should be

λ = h/mv e

Remember that this is non relativistic, there is no speed close to the light

speed, all relativistic modifications can be neglected!

JES

Please correct your title of the question, and the answer above.

What is LEED experiment?

The wavelengths are relative to a frame.

While the intrinsic frequency is not, only the projection of the frequency depends, as it is another way of expressing the total energy.

Dear Jacques Lavau

How do you correct the title?

LEED is Low Energy Electron Diffraction using Bragg's law and Lois de Broglie's law.

JES

Access to the edit tool :

- For the question, at the right of your name, above the title, point of arrow downward : \/

- For the answer, on the right of the word "Share" : \/

Leybold sells an apparatus for demonstrating in the classroom the electronic Debye-Scherrer diffractogram :

Dear Jacques Lavau

Thanks, I have corrected the question.

But, I'm still waiting for an answer; What do you think? Is there a local system of reference or not?

JES

Have you an experimental handle on the ion frame ?

Or only on the laboratory frame ?

It is well known that the relativistic muons coming from the high atmosphere from original cosmic rays, have for us terrestrial beings, life spans expanded by their apparent relativistic time. But we cannot attach a macroscopic clock to each incoming muon.

Dear Jacques Lavau

I don't say that the laws of special relativity are wrong, I just say that there is a local reference system around the earth. In which these laws are OK!

JES

For the de Broglie wavelength λ, λ = h/mv, where h is the Planck constant; m is the invariant mass of the particle; and v is the velocity of this particle. (The equation can be rewritten as λ = h/p, because p = mv, where p is the momentum of the particle, for non-relativistic motion.)