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- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/01%3A_Foundations_and_Review/1.02%3A_Some_Vectors_and_Dot_ProductsThe concepts of linear combinations and orthogonality show up repeatedly in quantum chemistry. But these are generally not new concepts to students at this level, as the same concepts are used to desc...The concepts of linear combinations and orthogonality show up repeatedly in quantum chemistry. But these are generally not new concepts to students at this level, as the same concepts are used to describe forces and motions in a standard physics course in classical mechanics.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/zz%3A_Back_Matter
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/04%3A_The_Harmonic_Oscillator_and_Vibrational_Spectroscopy/4.08%3A_ProblemsFor each molecule, calculate the reduced mass (in kg) and the force constant for the bond (in N/m). Use the recursion relation to generate the functions \(H_ {3}\) (y) and \(H_ {4}\) (y). The followin...For each molecule, calculate the reduced mass (in kg) and the force constant for the bond (in N/m). Use the recursion relation to generate the functions \(H_ {3}\) (y) and \(H_ {4}\) (y). The following wavenumber frequencies are reported for the band origins for the \(1 – v”\) bands in an electronic transition of a diatomic molecule. Using the Birge-Sponer method, determine the dissociation energy of the molecule in its ground electronic state.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/zz%3A_Back_Matter/20%3A_GlossaryIt can be thought of as an average of all the possible outcomes of a measurement as weighted by their likelihood, and as such it is not the most probable value of a measurement; indeed the expectation...It can be thought of as an average of all the possible outcomes of a measurement as weighted by their likelihood, and as such it is not the most probable value of a measurement; indeed the expectation value may have zero probability of occurring A Hermitian matrix is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column, for all indices i and j.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/02%3A_Particle_in_a_Box/2.01%3A_BackgroundAt the beginning of the 1900 s, there was actually a great deal of debate as to whether or not science was a valuable subject for study. At the time, Newtonian physics had proven to be a very reliable...At the beginning of the 1900 s, there was actually a great deal of debate as to whether or not science was a valuable subject for study. At the time, Newtonian physics had proven to be a very reliable model for predicting the behavior of the observable universe.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/04%3A_The_Harmonic_Oscillator_and_Vibrational_Spectroscopy/4.07%3A_Vocabulary_and_Conceptsanharmonicity constant direct product even function Hermite polynomials odd function potential energy surface Taylor series term values tunneling
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/00%3A_Front_Matter/04%3A_LicensingA detailed breakdown of this resource's licensing can be found in Back Matter/Detailed Licensing.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/08%3A_Polyelectronic_Atoms/8.07%3A_Vocabulary_and_Conceptsangular momentum aufbau principle Boson Clebsch series Deslandres table Fermion hole rule Hund’s rules Landé Interval Rule miscrostate orbital orbital approximation Pauli Exclusion principle Russell-S...angular momentum aufbau principle Boson Clebsch series Deslandres table Fermion hole rule Hund’s rules Landé Interval Rule miscrostate orbital orbital approximation Pauli Exclusion principle Russell-Saunders coupling shell spin-orbit splitting constant subshell term symbol
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Quantum_Chemistry_with_Applications_in_Spectroscopy_(Fleming)/00%3A_Front_Matter
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(Fleming)/09%3A_Chemical_EquilibriaAs was discussed in Chapter 6, the natural tendency of chemical systems is to seek a state of minimum Gibbs function. Once the minimum is achieved, movement in any chemical direction will not be spont...As was discussed in Chapter 6, the natural tendency of chemical systems is to seek a state of minimum Gibbs function. Once the minimum is achieved, movement in any chemical direction will not be spontaneous. It is at this point that the system achieves a state of equilibrium.
- https://chem.libretexts.org/Courses/DePaul_University/Thermodynamics_and_Introduction_to_Quantum_Mechanics_(Southern)/03%3A_The_Second_and_Third_Laws_of_Thermodynamics/3.09%3A_Putting_the_Second_Law_to_Work/3.9.04%3A_Volume_Dependence_of_Helmholtz_EnergyThe Helmholtz function changes with changing volume at constant temperature.
