Table 1 Energies (in eV) of the frontier orbitals and HOMO–LUMO gap for the doped fullerenes and its percentual variation upon complexation of CBZ (\(\Delta {\text{E}}_{g} \,in \%\)) as determined at the M06L/6-31G(d)//wB97XD/6-31G(d) level of theory.

From: Theoretical study of the interaction of fullerenes with the emerging contaminant carbamazepine for detection in aqueous environments

Molecules

M06L/6− 31G(d)

Vacuum

Water

\({\text{E}}_{{\text{H}}}\)

\({\text{E}}_{L}\)

\({\text{E}}_{g}\)

\(\Delta {\text{E}}_{g}\)

\({\text{E}}_{{\text{H}}}\)

\({\text{E}}_{L}\)

\({\text{E}}_{g}\)

\(\Delta {\text{E}}_{g}\)

CBZ

− 5.270

− 1.865

3.405

− 5.486

− 1.957

3.529

C59B

− 5.219

− 3.637

1.583

− 16.855

− 5.103

− 3.518

1.585

− 16.731

C59Al

− 4.960

− 3.499

1.461

− 23.245

− 4.847

− 3.428

1.419

− 25.411

C59Ga

− 5.011

− 3.539

1.472

− 22.674

− 4.891

− 3.449

1.442

− 24.210

C60

− 5.542

− 3.638

1.903

– 

− 5.420

− 3.517

1.903

C59Si

− 5.381

− 3.989

1.392

− 26.862

− 5.233

− 3.835

1.398

− 26.541

C59Ge

− 5.313

− 4.083

1.230

− 35.397

− 5.293

− 3.963

1.331

− 30.073

C59P

− 4.776

− 3.660

1.116

− 41.358

− 4.776

− 3.659

1.118

− 41.270

C59N

− 4.268

− 3.704

0.564

− 70.364

− 4.123

− 3.572

0.552

− 71.000