What is the probability that an electron will tunnel through a 0.54 nm gap from a...
What is the probability that an electron will tunnel through a 0.54 nm gap from a metal to a STM probe if the work function is 4.2 eV ?
Homework Answers
Electron's penetration distance is given by:
d = h(bar)/sqrt (2*m*(U0 - E))
U0 - E = Work function = 4.2 eV
So,
d = 1.05*10^-34/sqrt (2*9.11*10^-31*4.2*1.6*10^-19)
d = 9.49*10^-11 m = 0.0949 nm
Now tunnelling probability through barrier is given by:
Ptunnel = exp(-2w/d)
Ptunnel = exp (-2*0.54/0.0949) = 1.142*10^-5
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