HOMO and LUMO are acronyms for highest occupied molecular orbital and lowest unoccupied molecular orbital, respectively. The energy difference between the HOMO and LUMO is termed the HOMO-LUMO gap. HOMO and LUMO are sometimes referred to as frontier orbitals.[1] Roughly, the HOMO level is to organic semiconductors what the valence band is to inorganic semiconductors and quantum dots. The same analogy exists between the LUMO level and the conduction band. The atomic orbitals and molecular orbitals pictured above require complicated calculations and assumptions that far exceed the equation shown for ?nlm. Spartan calculates these orbitals as HOMOs or LUMOs. The HOMO (highest occupied molecular orbital) is the valence orbital that received the last valence electron(s). The orbital directly beneath the HOMO in energy is labeled HOMO(-1). The LUMO (lowest unoccupied molecular orbital) is the empty orbital just above the HOMO. The orbital just above the LUMO is labeled LUMO(+1). The \"1\" can be changed to 2, 3, 4, ... to create a complete set of all MOs in the molecule. The HOMO and LUMO images (surfaces) created by Spartan can be correlated/represented with the lines on a molecular orbital (MO) diagram. In this experiment, you will be asked to create the MO diagrams complete with Spartan orbital surfaces for H2 + , H2, and H2 - . Spartan also can generate electron density surfaces. Electron density is the square of the wave function (|?| 2 , or |?| 2 ). Squaring the wave function results in the loss of phase information (i 2 = - 1). The lack of phase information is indicated in Spartan by the creation of gray only density surfaces (Note: the \"electron\" is omitted in Spartan). The surface created represents the relative size and shape of the molecule, atom, or ion being investigated. Solution HOMO and LUMO are acronyms for highest occupied molecular orbital and lowest unoccupied molecular orbital, respectively. The energy difference between the HOMO and LUMO is termed the HOMO-LUMO gap. HOMO and LUMO are sometimes referred to as frontier orbitals.[1] Roughly, the HOMO level is to organic semiconductors what the valence band is to inorganic semiconductors and quantum dots. The same analogy exists between the LUMO level and the conduction band. The atomic orbitals and molecular orbitals pictured above require complicated calculations and assumptions that far exceed the equation shown for ?nlm. Spartan calculates these orbitals as HOMOs or LUMOs. The HOMO (highest occupied molecular orbital) is the valence orbital that received the last valence electron(s). The orbital directly beneath the HOMO in energy is labeled HOMO(-1). The LUMO (lowest unoccupied molecular orbital) is the empty orbital just above the HOMO. The orbital just above the LUMO is labeled LUMO(+1). The \"1\" can be changed to 2, 3, 4, ... to create a complete set of all MOs in the molecule. The HOMO and LUMO images (surfaces) created by Spartan can be correlated/represented with the.