HOMO and LUMO

In chemistry, HOMO and LUMO are types of molecular orbitals. The acronyms stand for highest occupied molecular orbital and lowest unoccupied molecular orbital, respectively.

"HOMO" redirects here. For other uses, see Homo (disambiguation).
Diagram of the HOMO and LUMO of a molecule. Each circle represents an electron in an orbital; when light of a high enough frequency is absorbed by an electron in the HOMO, it jumps to the LUMO.
3D model of the highest occupied molecular orbital in CO2
3D model of the lowest unoccupied molecular orbital in CO2

HOMO–LUMO gap

The energy difference between the HOMO and LUMO is termed the HOMO–LUMO gap. HOMO and LUMO are sometimes called frontier orbitals in frontier molecular orbital theory. The difference in energy between these two frontier orbitals can be used to predict the strength and stability of transition metal complexes, as well as the colors they produce in solution.[1]

Semiconductors

The HOMO level to organic semiconductors is roughly what the maximum valence band is to inorganic semiconductors and quantum dots. The same analogy can be made between the LUMO level and the conduction band minimum.[2]

Organometallic chemistry

In organometallic chemistry, the size of the LUMO lobe can help predict where addition to pi ligands will occur.

SOMO

A SOMO is a singly occupied molecular orbital such as half-filled HOMO of a radical.[3] This abbreviation may also be extended to semi occupied molecular orbital.

Subadjacent orbitals: NHOMO and SLUMO

If existent, the molecular orbitals at one energy level below the HOMO and one energy level above the LUMO are also found to play a role in frontier molecular orbital theory. They are named NHOMO for next-to-highest occupied molecular orbital and SLUMO for second lowest unoccupied molecular orbital.[4]

gollark: I implemented the "code to compute the sierpinski index of a point" from this paper (https://www2.isye.gatech.edu/~jjb/research/mow/mow.pdf) and used it to sort points, and it generates nice space-filling curve things for arbitrary widths.
gollark: Great¡
gollark: "Flag" can be interpreted as "boolean variable somewhere".
gollark: Oh, neat, I didn't actually look at the full-resolution version. Still not very spinny.
gollark: They *are* basically in straight lines, though.

See also

References
  1. Griffith, J.S. and L.E. Orgel. "Ligand Field Theory". Q. Rev. Chem. Soc. 1957, 11, 381-383
  2. Bredas, J,-L. "Mind the gap!". Mater. Horiz. 2014,1, 17-19
  3. IUPAC, Compendium of Chemical Terminology, 2nd ed. (the "Gold Book") (1997). Online corrected version:  (2006–) "SOMO". doi:10.1351/goldbook.S05765
  4. IUPAC, Compendium of Chemical Terminology, 2nd ed. (the "Gold Book") (1997). Online corrected version:  (2006–) "subjacent orbital". doi:10.1351/goldbook.S06067
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