Explanation 1) Concept: According to the concept of the barrier tunneling, the particle has a finite probability of tunneling through a barrier and appearing on the other side unchanged. The probability that a given particle of mass m and energy E will tunnel through a barrier of height U b and thickness L , transmission coefficient T is given by the equation 38 - 38 . 2) Formula: i) T = e - 2 b L ii) b = 8 π 2 m U b - E h 2 3) Given: i) U b = 6.0 e V ii) L = 0.70 n m iii) T = 0.0010 4) Calculations: The transmission coefficient T for a particle of mass m and energy E that is incident on height U b and width L is given by T = e - 2 b L We know that b = 8 π 2 m U b - E h Rearranging the equation, b h = 8 π 2 m U b - E b h 2 8 π 2 m = U b - E E = U b - b h 2 8 π 2 m … … … … … … … … … … … … … … … … … … … … … … … … … … … … … 1 Now from the equation of transmission coefficient, we can find the value of b

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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de Broglie Equation

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Chapter 38, Problem 74P

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The energy of an incident electron

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The binding energies of K-shell and L-shell electrons in copper are 8.979 and 0.951 keV, respectively. If a Ka x ray from copper is incident on a sodium chloride crystal and gives a first-order Bragg reflection at an angle of 74.1° measured relative to parallel planes of sodium atoms, what is the spacing between these parallel planes?

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16 For three experiments, Fig. 38-25 gives the transmission coefficient T for electron tunneling through a po- tential barrier, plotted versus barrier thickness L. The de Broglie wave- lengths of the electrons are identical in the three experiments. The only difference in the physical setups is the barrier heights U. Rank the three experiments according to U, greatest first. T: Figure 38-25 Question 16.

Chapter 38 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

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The energy of an incident electron

Solution Summary: The author explains that the energy of an incident electron is E=5.1eV and the transmission coefficient T is given by the equation 38-38.

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To find: The energy of an incident electron

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Chapter 38 Solutions

To find:

The energy of an incident electron