- #1
Seda
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Homework Statement
A 10-eV electron is incident on a potential barrier of height 25eV and width 1 nm.
Use equation 6-76 to calculate the order of magnitude of the probablity that the electron will tunnel through the barriers.
Repeat with width .1nm
Homework Equations
Equation 6-76 is:E = Electron Enegy
V = Potential
a = width
T = 16 (E/V) (1- (E/V) e -2aw
To get w
w = sqrt ( 2m (V-E)) / hbar
where m = mass of electron
hbar= 6.582119 x 10-16 eV*s
The Attempt at a Solution
I know these are the right answers ( they are given)
4.95 x 10-13 and 0.197
Seems to be a simple plug and chug problem, but, However, when I plug the known values into my calculator, the expontential goes to 0. I don't know if my dimensional analysis matched up or not (im using hbar in ev*s though), or maybe my calc is limited in the size of the numbers it can display.
Also, IM not sure what 'order of magnitude' means in the context of the question.