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DFT Reactivity Descriptors and Catalysis - Vrije Universiteit Brussel

DFT Reactivity Descriptors and Catalysis - Vrije Universiteit Brussel

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Starting point for <strong>DFT</strong> perturbative approach to chemical reactivity<br />

Consider<br />

E = E[N,v]<br />

Atomic, molecular system, perturbed in number<br />

of electrons <strong>and</strong>/or external potential<br />

⎛ ∂ E ⎞ ⎛ δ E ⎞<br />

dE = ⎜ ⎟ dN + δ v( r)<br />

dr<br />

∂ N<br />

∫ ⎜ ⎟<br />

δ v( r)<br />

⎝ ⎠v( r ) ⎝ ⎠N<br />

µ<br />

identification<br />

first order perturbation theory<br />

ρ( r)<br />

identification<br />

Electronic Chemical Potential (R.G. Parr et al, J. Chem. Phys., 68, 3801 (1978))<br />

= - χ (Iczkowski - Margrave electronegativity)<br />

Pag.<br />

30-9-2008 14

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