An electron of energy 1 eV got trapped inside the surface of a metal. If the potential barrier is 4.0 eV and width of the barrier is 2 Angstrom, the probability of its transmission is, O 0.01 O 0.09 O 0.5 O 0.085
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- In scanning tunnelling microscope the tunnelling current is proportional to the transmission probability T. Suppose the gap potential energy V is greater than the electron energy E by V-E-=4.0 eV. Calculate the ratio of current when the needle is moved from L1=0.20nm to L2=0.35nm from the surface? Please enter your answer with 2 decimals.Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height VO with E > VO. The electrons are traveling in the x direction and they are originated from x = -o. i. Find the transmission coefficient between regions I and II. ii. Find the reflection coefficient between regions I and II. ii. Assume the electron velocity is 7.5x10^5 cm/s, E = V0/0.15 Find the probability that there is an electron at the distance "a = 50" A° after the barrier. iv. Determine the de Broglie wavelength in A? * Please use Schrodinger theory V(x) Incident particles Vo Region I Region II x = 0 Figure 2. The step potential functionChapter 38, Problem 074 Consider a potential energy barrier like that of the figure but whose height Uo is 8.6 eV and whose thickness L is 0.63 nm. What is the energy of an incident electron whose transmission coefficient is 0.0013? Energy --Ee Electron 0 L Number Units
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