Title: Density Functional Theory
1Density Functional Theory In Chemistry An
alternate formulation of Schrödingers Theory
http//www.ecu.edu/cacs/lectures/uncw_2006.ppt
2In Density Functional Theory, the electron
density is the quantity of interest. In
Wavefunction Functional Theory, the wave function
is the quantity of interest. Very Good
Reference R.G. Parr and W. Yang,
Density-Functional Theory, (Oxford Press, 1989).
3Density Functional Theory (Hohenberg-Kohn 1964)
The ground state energy E of an N-electron system
is a functional of the electronic density ? and
it is a minimum when evaluated with the exact
ground state density. Minimize E?,? with
respect to variations in ? subject to
the constraint of charge conservation, N ? ? d?
? E?,? - ? ? ? d? 0
The resulting Euler-Lagrange equation is
? E / ? ? ?
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8Fukui Function as finite difference
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14Electron Localization Function
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16ELF for CH3CH3
17ELF for H2CO
18Fate of atmospheric toulene
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22Climbing-Image Nudged Elastic Band
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28Interior
Exterior
29Low-energy electron emission from condensed-phase
targets induced by fast protons,
SF6 absorbed on copper surface
30SF6 on a copper surface
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32W2(hpp)4, hpp is the anion of 1,3,4,6,7,8- hexahyd
ro-2H-pyrimido1,2-apyrimidine.
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34Biological sulfate
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36Scorpion toxin from the Brazilian scorpion,
Tityus serrulatus KEGYLMDHEGCKLSCFIRPSGYCGR
ECGIKKG SSGYCAWPACYCYGLPNWVKVWDRATNKC
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39www.ecu.edu/cacs