20) Given the wavefunction solution (shown below) to Schrodinger's equation for a particle in a one dimensional box (e.g. an electron trapped on a conjugated molecule), calculate the expression for the internal energy of this particle. You may assume the particle experiences no potential energy. 2 плх Y = sin a) En = h²n?L?n²/2m b) En= h²n?n?/2mL? c) En = h²n?n?m/2L² d) En = h?n? L?/2mn² e) En = nh?n?/2mL² %3D

20) Given the wavefunction solution (shown below) to Schrodinger's equation for a particle in a one dimensional box (e.g. an electron trapped on a conjugated molecule), calculate the expression for the internal energy of this particle. You may assume the particle experiences no potential energy. 2 плх Y = sin a) En = h²n?L?n²/2m b) En= h²n?n?/2mL? c) En = h²n?n?m/2L² d) En = h?n? L?/2mn² e) En = nh?n?/2mL² %3D

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

20) Given the wavefunction solution (shown below) to Schrodinger's equation for a
particle in a one dimensional box (e.g. an electron trapped on a conjugated
molecule), calculate the expression for the internal energy of this particle. You
may assume the particle experiences no potential energy.
NT X
sin
L
Y =
a) En = h?n?L?n²/2m
b) En = h²n?n?/2mL²
c) En = h?n?n²m/2L?
d) En = h?n? L²/2mn²
e) En = nh?n?/2mL?

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