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calculate the shorter wave number for pfund series

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter9: Pre-quantum Mechanics

Section: Chapter Questions

Problem 9.11E: Explain why no lines in the Balmer series of the hydrogen atom spectrum have wavenumbers larger than...

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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.

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If 1 and 2 are the individual wavefunctions for electron 1 and electron 2, identify each overall wavefunction as symmetric or antisymmetric with respect to exchange of the two electrons. i.e., 1 becomes 2 and vice versa. a=1+2 b=12 c=12+22 d=sin1+sin2 d=cos1cos2
Explain why no lines in the Balmer series of the hydrogen atom spectrum have wavenumbers larger than about 27,434cm1. This is called the series limit.
Based on the trend shown in Figure 11.5, draw the probability distribution of a harmonic oscillator wavefunction that has a very high value of n. Explain how this is consistent with the correspondence principle.
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