electronic structure theory Flashcards
wavefunction depends on coordiantes of all
electrons and all nuclei
wlwctrons are very light compared to nuclie which means they
move much faster
born-oppenheimer approximaiton
nuclei as fixed in space and electrons can then be viewed as moving within the fixed nuclear framework
withon the born-oppenheimer approximation the nuclei can be regarded as moving on the
potenial energy surface
nuclear wavefunction depends on ell the
nucleir and describes nuclear motion
electronic wavefunction depends on all the
electrons and E_e is the elcetronic energu
as nuclear coordinates vary the …. and … will change
electronic wavefunction and electronic energy
total wavefunction is
nuclear wavefunciton times electronic wavefunction
spin orbital is a combination of
spatial orbitals and spin functions
spin orbital tells us the
postion and spin of an electron
electronic wavefunction depends on the
space-spin coordinates of all electrons
From the pauli principle it must be
antisymmetric with respect to exchange of electrons
the electronic wavefunction must change sign if we interchange the
space-spin coordinates of any two electrons
antisymmetric wavefunctions can be easily represented using
determinants
restriced hartree-fock theory
approximating electronic wavefunction by a single slater determinant and restrict spatial orbitals occupied by alpha electrons to be the same as the spatial orbitals occupied by the beta electrons