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Vocabulary flashcards for CHM2005 Molecular orbital theory lecture notes.
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Born-Oppenheimer approximation
Assumes that the motion of the nuclei can be completely ignored while solving the Schrödinger equation for the electron(s).
Molecular Orbitals
The natural successors of the atomic orbitals in the limit of two or more distinct nuclear centres. They share properties with atomic orbitals, including a maximum occupancy of 2 electrons, orbital angular momentum, and energy quantization at fixed R.
Potential Energy Curves
In diatomic molecules, represents the energy of the molecule at each value of R (internuclear separation).
Potential Energy Surfaces
For molecules with three or more atoms, represents the energy of the molecule considering multiple degrees of freedom. Determines nuclear motions (vibrations and rotations).
LCAO approximation
Linear Combination of Atomic Orbitals. A trial wavefunction that is a combination of the atomic wavefunctions on the individual atoms.
Bond Order
½ {(number of bonding electrons)-(number of antibonding electrons)}. The higher the bond order, the stronger the chemical bond.
Homonuclear
Meaning 'same nuclei,' refers to molecules where all atoms have the same nuclear charge (atomic number).
Parity
The behavior of the orbital wavefunction under the symmetry operation of inversion. Orbitals are labeled 'g' (gerade) if the sign remains the same and 'u' (ungerade) if it changes.
Orbital Mixing
The interaction and combination of molecular orbitals of the same symmetry, leading to stabilization of lower energy orbitals and destabilization of higher energy orbitals.
Heteronuclear
Meaning 'different nuclei,' refers to diatomic molecules composed of atoms with different nuclear charges.
Term Symbols
Used to describe the electronic states of molecules, incorporating total spin (S) and the magnitude of the total electronic orbital angular momentum (Λ).
Point Group
A classification of a molecule based on its symmetry elements. The point group determines the symmetry labels of the molecular orbitals.
Walsh Diagrams
Diagrams that document the change in energy of molecular orbitals as the bond angle is changed.
Franck-Condon Principle
The assumption that the nuclei are frozen during the absorption process. The vibrational wavefunction in the initial state is projected vertically onto the final state.
Wigner-Witmer rules
Rules used to predict the molecular electronic states formed from a pair of atomic electronic states.