2. Consider a fictitious one-dimensional system with one electron. The wave function for the electron is \( \psi(x) = \sin x \) from \( x = 0 \) to \( x = 2\pi \). **a.** Sketch the probability density, \( \psi^2(x) \) from \( x = 0 \) to \( x = 2\pi \).**b.** At what value or values of \( x \) will there be the greatest probability of finding the electron?**c.** What is the probability that the electron will be found at \( x = \pi \)? What is such a point in a wave function called?

Answers of above questions given below.

a. Sketch the probability density, y²(x) from x = 0 to x = 2n. b. At what value or values of x will there be the greatest probability of finding the electron? c. What is the probability that the electron will be found at x= r? What is such a point in a wave function called?

a. Sketch the probability density, y²(x) from x = 0 to x = 2n. b. At what value or values of x will there be the greatest probability of finding the electron? c. What is the probability that the electron will be found at x= r? What is such a point in a wave function called?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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