In atoms there is a finite, though very small, probability that, at some instant, an orbital electron will actually be found inside the nucleus. In fact, some unstable nuclei use this occasional appearance of the electron to decay by electron capture. Assuming that the proton itself is a sphere of radius 1.1 * 10-15 m and that the wave function of the hydrogen atom’s electron holds all the way to the proton’s center, use the ground-state wave function to calculate the probability that the hydrogen atom’s electron is inside its nucleus.
In atoms there is a finite, though very small, probability that, at some instant, an orbital electron will actually be found inside the nucleus. In fact, some unstable nuclei use this occasional appearance of the electron to decay by electron capture. Assuming that the proton itself is a sphere of radius 1.1 * 10-15 m and that the wave function of the hydrogen atom’s electron holds all the way to the proton’s center, use the ground-state wave function to calculate the probability that the hydrogen atom’s electron is inside its nucleus.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In atoms there is a finite, though very small, probability that,
at some instant, an orbital electron will actually be found inside the
nucleus. In fact, some unstable nuclei use this occasional appearance
of the electron to decay by electron capture. Assuming that
the proton itself is a sphere of radius 1.1 * 10-15 m and that the
wave function of the hydrogen atom’s electron holds all the way to
the proton’s center, use the ground-state wave function to calculate
the probability that the hydrogen atom’s electron is inside its
nucleus.
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