How can an electron wavelength be calculated?

[z_ghadiani]

Dear,

How wavelength of electron can be calculated?
What minimum wavelength can a beam of electron have?

your help would be acknowleged.

 

[elmolla]

Re: electron wavelength

What do you mean about wavelength? Do you mean the wavelength of the associated wave obtained from the solution of the wave equation??

If this is the case, then the associated wave has a wavelength that could be calculated from De Broglie's relation

λ=h/P, where P=mv (The momentum of the particle)

 

[z_ghadiani]

Re: electron wavelength

Thanks for the answer to first question.

What a bout second? minimum wavelength that an electron beam can achieve?

Thanks alot

 

[Lokesh Kumar]

electron wavelength

lambda=hc/E
depends on energy through which it is accelerated.

 

[flatulent]

Re: electron wavelength

The term "de Broglie wavelength" covers this. Look at https://en.wikipedia.org/wiki/De_Broglie_hypothesis for more information.

 

[premagg]

Re: electron wavelength

λ=(v/f)
I guess this gives that minimum wavelength is 0 when its velocity is zero.Velocity=0 is possible in today's laboratories where they are isolated from everywhere.
If this has something to do with inertial frames or so please tell me.I guess the question has been asked in a sarcastic way so you have something hot to put here.

 

[z_ghadiani]

Re: electron wavelength

λ and f are not independent quantities in the equation. And according to quantum uncertainity the electron velocity never can reach zero!
The question is not sarcastic at all. The purpose of question was as follows:
The resolution of electron lithography depends on wavelength of electron beam. The question is how much we can reduce the wavelength of electron beam and consequently what is the best resolution of e-beam lithography that one can achieve?

 

[htg]

Re: electron wavelength

Quantum Mechanics is completely false and based on lies about experimental results.
I enclose a proof that QM is false.