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The two hydrogen 1s orbitals are premixed to form a 1 (σ) and b 2 (σ*) MO. Mixing takes place between same-symmetry orbitals of comparable energy resulting a new set of MO's for water: 2a 1 MO from mixing of the oxygen 2s AO and the hydrogen σ MO. 1b 2 MO from mixing of the oxygen 2p y AO and the hydrogen σ* MO. 3a 1 MO from mixing of the a ...
Molecular orbital diagram of two singlet excited states and triplet ground state of O 2. From left to right, the diagrams are for: 1 Δ g singlet oxygen (first excited state), 1 Σ + g singlet oxygen (second excited state), and 3 Σ − g triplet oxygen (ground state).
As a simple MO example, consider the electrons in a hydrogen molecule, H 2 (see molecular orbital diagram), with the two atoms labelled H' and H". The lowest-energy atomic orbitals, 1s' and 1s", do not transform according to the symmetries of the molecule.
Molecular orbital diagram of two singlet excited states as well as the triplet ground state of molecular dioxygen. From left to right, the diagrams are for: 1 Δ g singlet oxygen (first excited state), 1 Σ + g singlet oxygen (second excited state), and 3 Σ − g triplet oxygen (ground state). The lowest energy 1s molecular orbitals are ...
Molecular orbital theory was seen as a competitor to valence bond theory in the 1930s, before it was realized that the two methods are closely related and that when extended they become equivalent. Molecular orbital theory is used to interpret ultraviolet–visible spectroscopy (UV–VIS). Changes to the electronic structure of molecules can be ...
The atomic orbitals used are typically those of hydrogen-like atoms since these are known analytically i.e. Slater-type orbitals but other choices are possible such as the Gaussian functions from standard basis sets or the pseudo-atomic orbitals from plane-wave pseudopotentials. Example of a molecular orbital diagram.
In the simple MO diagram of H 2 O, the 2s orbital of oxygen is mixed with the premixed hydrogen orbitals, forming a new bonding (2a 1) and antibonding orbital (4a 1). Similarly, the 2p orbital (b 1) and the other premixed hydrogen 1s orbitals (b 1) are mixed to make bonding orbital 1b 1 and antibonding orbital 2b 1. The two remaining 2p ...
The superscript 1 for a singly occupied subshell is not compulsory; for example aluminium may be written as either [Ne] 3s 2 3p 1 or [Ne] 3s 2 3p. In atoms where a subshell is unoccupied despite higher subshells being occupied (as is the case in some ions, as well as certain neutral atoms shown to deviate from the Madelung rule ), the empty ...