Ramsauer-Townsend equation. Joules or eV?

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SUMMARY

The Ramsauer-Townsend equation is expressed as T = {1 + {(sin k a)^2 / 4E/V0 (E/V0 - 1)}}, where E and V0 must be in the same units for accurate calculations. The discussion clarifies that it is not necessary for both E and V0 to be in Joules or electronvolts (eV) as long as they are consistent. The ratio E/V0 will yield the same result regardless of the unit choice, emphasizing the importance of unit consistency over specific unit selection.

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  • Understanding of the Ramsauer-Townsend equation
  • Familiarity with energy units: Joules and electronvolts (eV)
  • Basic knowledge of wave mechanics and transmission phenomena
  • Ability to manipulate mathematical equations and ratios
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  • Investigate the role of the Ramsauer-Townsend effect in electron transmission
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Students and researchers in physics, particularly those studying quantum mechanics and wave-particle interactions, will benefit from this discussion.

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Homework Statement



There is a Ramsauer-Townsend equation in my notes for transmission.

It's difficult to write out but looks somewhat like:

T = {1 + {(sin k a)^2 / 4E/V0 (E/V0 - 1)}}

Of course E and V0 should be in the same units.

But should they both in Joules or eV?

I would think Joules myself.

Thank you!


Homework Equations





The Attempt at a Solution

 
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It doesn't matter once they both have the same units.

E/V0 will work out the same as it is calculating a ratio.
 

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