Concept explainers
Interpretation:
The degeneracies of all levels for a cubical box from the lowest-energy wavefunction, described by the set of quantum numbers
Concept introduction:
The Schrödinger equation is used to find the allowed energy levels for electronic transitions in the
Where,
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The energy obtained after applying the operator on wavefunction is known as the eigen value for the wavefunction.
Answer to Problem 10.79E
The degeneracies of all levels for a cubical box from the lowest-energy wavefunction, described by the set of quantum numbers
Explanation of Solution
The formula to calculate energy for an electron confined to a three dimensional box is given below.
Substitute the values in the equation (1) for the three-dimensional box having same dimensions and
Similarly, other values for the energy by changing quantum numbers are calculated as follows.
The values of energies obtained for higher values of
The set of quantum numbers degenerate wavefunctions are as follows:
The degeneracies of all levels for a cubical box from the lowest-energy wavefunction, described by the set of quantum numbers
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Chapter 10 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
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