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molecular orbital theory
electrons in atoms are described by wavefunctions
atomic orbitals can be combined to make molecular orbitals
bonding orbital - electrons spend time inbetween atomic nuclei, chemical bond
antibonding orbital - electrons found anywhere but between 2 nuclei, node
adding wavefunctions - bonding molecular orbital
subtracting wavefunctions - antibonding molecular orbital
bonding molecular orbital closer to atomic orbitals of more electronegative atom
antibonding molecular orbital closer to atomic orbitals of less electronegative atom
constructive interference
in phase combination
between the nuclei, wavefunctions overlap and combine to give new wavefunction
electron density enhanced between the nuclei
bonding molecular orbital
cylindrical symmetry about the internuclear axis - sigma orbital
destructive interference
out of phase combination
electron density depleted between 2 nuclei so there is a node
2 positively charged nuclei with lack of electrons between them
antibonding molecular orbital
cylindrical symmetry about the internuclear axis - sigma* orbital
boundary representation and parity
parity of the wavefunction - whether the sign changes or not under the inversion centre
bonding - no change in sign so gerade
antibonding - change in sign so ungerade
linear combinations of atomic orbitals
combine atomic orbitals of contributing atoms to give molecular orbitals that extend over the entire molecule
value of the coefficient shows the extent to which each atomic orbital contributes to the molecular orbital
normalisation constants - total electron density must remain the same so equations must be normalised
non bonding orbital
has same energy as the initial atomic orbital
neither stabilises nor destabilises the molecule
HOMO and LUMO
HOMO - highest occupied molecular orbital
LUMO - lowest unoccupied molecular orbital
determine the chemistry of the molecule
bond order
no of bonding electrons - no of antibonding electrons / 2
magnetism
paramagnetic - attracted to a magnet, if unpaired electrons are present then a molecule/ion is paramagnetic
diamagnetic - repels a magnet, only if just paired electrons present in molecule/ion