Table 1 Frontier orbitals energy values, reactivity descriptors and geometric aromaticity indices calculated in B3LYP/6-311 + + G(d, p) (water solution – CPCM conductor-like polarizable continuum model) for vanillic, isovanillic and o-vanillic acids and their radicals.

From: Spectroscopic, antioxidant and cytotoxicity studies of vanillic acids

 

VA

VA radical

isoVA

isoVA radical

o-VA

o-VA radical

Energy [eV]

-16619.4

-16,602

-16619.4

-16,602

-16619.5

-16601.7

Dipole moment [D]

5.5536

0.8054

4.0729

1.8348

3.4011

8.0616

EHOMO [eV]

-9.1721

-8.1305

-9.1330

-8.1261

-9.1482

-8.3830

ELUMO [eV]

-5.4031

-5.1386

-5.5321

-5.2640

-5.6028

-5.3136

Δ = ELUMO-EHOMO [eV]

3.7690

2.9919

3.6009

2.8621

3.5454

3.0694

Ionisation potential I=-EHOMO

9.1721

8.1305

9.1330

8.1261

9.1482

8.3830

Electron affinity A=-ELUMO

5.4031

5.1386

5.5321

5.2640

5.6028

5.3136

Electroegativity Χ=(I + A)/2

7.2876

6.6345

7.3325

6.6951

7.3755

6.6295

Chemical potential µ=-(I + A)/2

-7.2876

-6.6345

-7.3325

-6.6951

-7.3755

-6.8483

Chemical hardness η=(I-A)/2

1.8845

1.4959

1.8004

1.4310

1.7727

1.5347

Chemical softness S = 1/(2η)

0.2653

0.3342

0.2777

0.3494

0.2821

0.3258

Electrophilicity index ω = µ2/2η

14.0909

14.7122

14.9313

15.6613

15.3434

15.2793

Aromaticity indices

HOMA

0.959

0.392

0.966

0.494

0.922

0.181

GEO

0.019

0.392

0.012

0.311

0.037

0.532

EN

0.022

0.216

0.022

0.195

0.041

0.287

I6

92.87

66.98

94.22

70.73

89.88

62.35

BAC

0.874

0.498

0.900

0.572

0.856

0.466

Aj

0.992

0.830

0.994

0.864

0.983

0.770