Is the Compton wavelength equal to 2*pi*r, the radius of an electron?

In summary, the electron radius is a physical constant that represents the estimated size of an electron and is approximately 2.8 x 10^-15 meters. It is calculated using the fine structure constant and is important in understanding the size of an electron and its role in physical phenomena. It is a constant value that does not change, but its existence as a definite size is still debated among scientists. The electron radius is related to other physical constants such as the Planck constant, the speed of light, and the elementary charge, which are fundamental to our understanding of the universe.
  • #1
StephenD420
100
0
Hello all

I have a quick question regarding the derivation of the radius of an electron using the compton wavelength.
Is the following true?
λ = h/mc
where 2*pi*r = λ from quantum angular momentum L = mvr = h/2pi -> mcr = h/2pi -> 2pi*r = h/mc = λ ??
so
r = h/(2*pi*m*c)
?

I just want to make sure that the compton wavelength can be equal to 2*pi*r, where r is the radius of an electron, which is what I am trying to find.

Thanks
Stephen
 
Last edited:
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  • #2
bump...
Am I correct in my thinking about the electron radius?

Thanks,
Stephen
 

FAQ: Is the Compton wavelength equal to 2*pi*r, the radius of an electron?

What is the electron radius?

The electron radius is a physical constant that represents the estimated size of an electron. It is approximately equal to 2.8 x 10^-15 meters.

How is the electron radius calculated?

The electron radius is calculated using the fine structure constant (α), which is a dimensionless number representing the strength of the electromagnetic interaction between elementary particles.

Why is the electron radius important?

The electron radius is important because it helps us understand the size of an electron and its role in various physical phenomena, such as atomic structure and quantum mechanics.

Does the electron radius change?

No, the electron radius is a constant value that does not change. However, it is important to note that the concept of an electron having a definite size is still a topic of debate among scientists.

How is the electron radius related to other physical constants?

The electron radius is related to other physical constants such as the Planck constant, the speed of light, and the elementary charge. These constants are used in the calculation of the electron radius and are fundamental to our understanding of the universe.

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