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Table 8 Frontier molecular orbital energy and reactivity characteristics for 2a, 1c and 2c

From: Cu (II)-catalyzed: synthesis of imidazole derivatives and evaluating their larvicidal, antimicrobial activities with DFT and molecular docking studies

Property

2a

1c

2c

HOMO

− 0.2

− 0.2

− 0.2

LUMO

− 0.07

− 0.07

− 0.06

Energygap ∆E (LUMO–HOMO)

0.13

0.13

0.14

Ionization Energy (I = εHOMO = − HOMO)

0.2

0.2

0.2

Electron Affinity (A =  εLUMO = − LUMO)

0.07

0.07

0.06

Global Hardness (η = (I− A)/2)

0.07

0.07

0.07

Global Softness (s = 1/η)

14.3

14.3

14.3

Chemical Potential(μ = − (I + A)/2)

− 0.14

− 0.14

− 0.14

Electronegative(χ = − μ)

0.14

0.14

0.14

Electrophilicity Index (ω = μ2/2η)

0.14

0.14

0.14

Nucleophilicity Index (N = 1/ω)

7.14

7.14

7.14