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Table 5 Important molecular descriptors derived from DFT and molecular dynamics simulations (Obot et al. 2013)

From: Potential of Azadirachta indica as a green corrosion inhibitor against mild steel, aluminum, and tin: a review

Descriptors

Explanation

Global quantum chemical descriptors

 

E HOMO

Energy of the highest occupied molecular orbital

E LUMO

Energy of the lowest unoccupied molecular orbital

IP(≈‐ E HOMO)

Ionization potential: removing an electron from a molecular system X (X→X+ + e)

EA(≈‐ E LUMO)

Electron affinity: attaching an additional electron to a molecular system X (X + e→X)

\( \mu ={\left(\frac{\delta E}{\delta N}\right)}_v \)

Chemical potential, defined as the change in electronic energy E upon change in total number of electrons N

χ = − μ ≈ − 1/2(E HOMO + E LUMO)

Absolute electronegativity

\( \eta =-{\left(\frac{\delta \mu }{\delta N}\right)}_v\approx -\left({E}_{\mathrm{HOMO}}-{E}_{\mathrm{LUMO}}\right) \)

Molecular hardness, defined as the change in chemical potential μ upon change in total number of electrons N

\( S=\frac{1}{2\eta } \)

Molecular softness

Α

Molecular polarizability; note that molecules arrange themselves towards a state of minimum polarizability and maximum hardness

\( \omega =\frac{\mu^2}{2\eta }=\frac{\chi^2}{2\eta }. \)

Electrophilicity index

Charge distribution

 

QA(r)

Net atomic charges (at atom r)

E interaction = E total − (E surface + E inhibitor)

Where E total is the total energy of the metal surface and inhibitor, E surface is the metal surface energy and E inhibitor is the energy of inhibitor molecule from plant extract