Compton Wavelength, h and h bar

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The discussion clarifies two representations of the Compton wavelength: λ = h/(mc) and λ = ħ/(mc), where ħ is the reduced Planck's constant. The first equation represents the proper Compton wavelength, while the second is referred to as the reduced Compton wavelength. The reduced form is often preferred in calculations due to the frequent appearance of factors of 2π in physics. Understanding when to use each form depends on the context of the problem being solved. Both representations are valid, but the reduced form is commonly utilized for its convenience in various applications.
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I have found 2 different representations of Compton wavelength:

\lambda=
\frac{h}{mc}
and
\frac{\bar{h}}{mc}
which of these is correct, and if both are right, how do you know when to use one or the other?
(note: the second equation contains a h bar as in " h bar = h/2pi ")
 
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The proper Compton wavelength is the first equation. The second equation is the reduced Compton wavelength, and it's used more frequently because factors of 2pi pop up all over the place.
 
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