An electron approaches a 1.0-nm-wide potential-energy barrier of height 6.1 eV. You may want to review (Pages 1169 - 1172) Part A What energy electron has a tunneling probability of 10%? Express your answer to three significant figures and include the appropriate units. HẢ ? E = Value Units Submit Request Answer Part B What energy electron has a tunneling probability of 1.0%? Express your answer to three significant figures and include the appropriate units. HA ? E = Value Units Submit Request Answer Part C What energy electron has a tunneling probability of 0.10%? Express your answer to three significant figures and include the appropriate units. HÀ E = Value Units Submit Request Answer

An electron approaches a 1.0-nm-wide potential-energy barrier of height 6.1 eV. You may want to review (Pages 1169 - 1172) Part A What energy electron has a tunneling probability of 10%? Express your answer to three significant figures and include the appropriate units. HẢ ? E = Value Units Submit Request Answer Part B What energy electron has a tunneling probability of 1.0%? Express your answer to three significant figures and include the appropriate units. HA ? E = Value Units Submit Request Answer Part C What energy electron has a tunneling probability of 0.10%? Express your answer to three significant figures and include the appropriate units. HÀ E = Value Units Submit Request Answer

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 90CP: In STM, an elevation of the tip above the surface being scanned can be determined with a great...

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Similar questions

When an electron and a proton of the same kinetic energy encounter a barrier of the same height and width, which one of them will tunnel through the barrier more easily? Why?
If STM is to detect surface features with local heights of about 0.0200 nm, what percent change in tunneling-electron current must the STM electronics be able to detect? Assume that the tunneling-electron current has characteristics given in the preceding problem.
Consider the wavefunction for a particle in a one-dimensional box when the level is n = 6. Calculate the total probability of finding the particle between x = 0 and x = L/12? Provide your answer to three significant figures.
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What decreases the tunneling probability most: doubling the barrier width or halving the kinetic energy of the incident particle?
In STM, an elevation of the tip above the surface being scanned can be determined with a great precision, because the tunneling-electron current between surface atoms and the atoms of the tip is extremely sensitive to the variation of the separation gap between them from point to point along the surface. Assuming that the tunneling-electron current is in direct proportion to the tunneling probability and that the tunneling probability is to a gotxi approximation expressed by the exponential function e2L with =10.0/nm , determine the ratio of the tunneling current when the tip is 0.500 nm above the surface to the current when the tip is 0.515 nm above the surface.
Consider an electron of energy 1 eV that encounters a potential barrier of width 0.1nm and energy height 2ev. what is the probability of the electron crossing the barrier? repeat the same calculation for a proton
An electron having total energy E = 4.50 eV approaches a rectangular energy barrier with U = 5.00 eV and L = 950 pm as shown. Classically, the electron cannot pass through the barrier because E < U. Quantum- mechanically, however, the probability of tunneling is not zero. (a) Calculate this probability, which is the transmission coefficient. (b) To what value would the width L of the potential barrier have to be increased for the chance of an incident 4.50-eV electron tunneling through the barrier to be one in one million?
A stream of electrons is of energy E is incident on a potential barrier of height U and thickness d. Even though U >> E, 5% of the electrons tunnel through the barrier. If the thickness of the barrier decrease to 0.12 d, what percentage of the electrons will tunnel through?
The wavefunction for a quantum particle tunnelling through a potential barrier of thickness L has the form ψ(x) = Ae−Cx in the classically forbidden region where A is a constant and C is given by C^2 = 2m(U − E) /h_bar^2 . (a) Show that this wavefunction is a solution to Schrodinger’s Equation. (b) Why is the probability of tunneling through the barrier proportional to e ^−2CL?