Concept explainers
(a)
Interpretation:
The secular determinant for a system that is described in terms of four ideal wavefunctions is to be stated.
Concept introduction:
Variation theory states that the average energy of any wavefunction for a given system is equal to or greater than its ground-state energy. It provides more accurate value of energy for a particular system. It is used to find the approximate solutions to the Schrödinger equation.
(b)
Interpretation:
The explanation of the complexity of a secular determinant as the number of ideal wavefunctions increases is to be stated. The number of
Concept introduction:
The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.
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Chapter 12 Solutions
Physical Chemistry
- For a particle in a state having the wavefunction =2asinxa in the range x=0toa, what is the probability that the particle exists in the following intervals? a x=0to0.02ab x=0.24ato0.26a c x=0.49ato0.51ad x=0.74ato0.76a e x=0.98ato1.00a Plot the probabilities versus x. What does your plot illustrate about the probability?arrow_forwardWhat is the physical explanation of the difference between a particle having the 3-D rotational wavefunction 3,2 and an identical particle having the wavefunction 3,2?arrow_forwardShow that the normalization constants for the general form of the wavefunction =sin(nx/a) are the same and do not depend on the quantum number n.arrow_forward
- A particle on a ring has a wavefunction =12eim where equals 0 to 2 and m is a constant. Evaluate the angular momentum p of the particle if p=i How does the angular momentum depend on the constant m?arrow_forwardWhat is the degeneracy of an h subshell? An n subshell?arrow_forwardUnder what conditions would the operator described as multiplication by i the square root of 1 be considered a Hermitian operator?arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,