4 4. The normalized wavefunctions for a particle-in-box (length, a =direction are given by.40 nm) in the x-2 12Y(x)=|117tSinax for 0 < x < a and n= 1, 2, 3, 4, etc.a(a) Using Excel and on the same diagram. plot Y (n= 2), Y (n = 3) and the productY (n=2) Y (n=3) and comment on the result.(b) Using Excel, plot diagrams of the variation of the Y(n=5) and the correspondingprobability density function, Y(n = 5)(c) At what values of x are the fnctions Y (n = 2), Y (n = 3), V (n = 2) V (n = 3)and Y (n = 5) above equal to zero in the range 0xa.

Answered: The normalized wavefunctions for a…

The normalized wavefunctions for a particle-in-box (length, a = 40 nm) in the x- direction are given by: Y(x) = = x for 0

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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Concept explainers

Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

4. The normalized wavefunctions for a particle-in-box (length, a =
direction are given by.
40 nm) in the x-
2 12
Y(x)=|
117t
Sin
a
x for 0 < x < a and n= 1, 2, 3, 4, etc.
a
(a) Using Excel and on the same diagram. plot Y (n= 2), Y (n = 3) and the product
Y (n=2) Y (n=3) and comment on the result.
(b) Using Excel, plot diagrams of the variation of the Y(n=5) and the corresponding
probability density function, Y(n = 5)
(c) At what values of x are the fnctions Y (n = 2), Y (n = 3), V (n = 2) V (n = 3)
and Y (n = 5) above equal to zero in the range 0xa.

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