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zbhest123
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1. Let 11.0-eV electrons approach a potential barrier of height 3.8 eV.
2. (a) For what barrier thickness is there no reflection? (b) For what barrier thickness is the reflection a maximum?
3. For part (a) I tried using kL=npi where k=sqrt(2m(E-V))/hbar, because this is where the Probability of transmission T=1.
The equation for probability of transmission is given by T=(1+V^2sin^2(kL)/(4E(E-V)))^-1. V is the potential barrier, 3.8 eV
I solved for L, getting: L=npi*hbar/sqrt(2m(E-V)), but I still don't know n. (n is an integer) And when ignoring n I get the wrong answer.
The answer I get is 7.623e-19.
The answer in the book is L=.229nm or any integer multiple thereof.
I have no idea what to do from here, I also multiplied the top and the bottom by c=3e8 due to electron mass m=.511e6 eV/c^2.
2. (a) For what barrier thickness is there no reflection? (b) For what barrier thickness is the reflection a maximum?
3. For part (a) I tried using kL=npi where k=sqrt(2m(E-V))/hbar, because this is where the Probability of transmission T=1.
The equation for probability of transmission is given by T=(1+V^2sin^2(kL)/(4E(E-V)))^-1. V is the potential barrier, 3.8 eV
I solved for L, getting: L=npi*hbar/sqrt(2m(E-V)), but I still don't know n. (n is an integer) And when ignoring n I get the wrong answer.
The answer I get is 7.623e-19.
The answer in the book is L=.229nm or any integer multiple thereof.
I have no idea what to do from here, I also multiplied the top and the bottom by c=3e8 due to electron mass m=.511e6 eV/c^2.
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