According to chemistry literature, HOMO and LUMO are the highest and lowest empty or unoccupied molecular orbital, respectively. The energy gap is the energy difference between the two orbitals, often denoted by the HLG symbol. Equation 2 is developed to calculate the energy gap, where EH and EL indicate the energies of Homo and Lomo orbitals, respectively. The electrical conductivity of the molecules directly affects the energy gap (
1). The lower the energy gap, the more efficiently the electron pass from the forbidden band and into the conduction band (
13). Hence, materials with lower energy gaps have higher electrical conductivity in comparison to those with higher energy gaps.
As shown in
Table 2, following the penicillin (G) absorption on the carbon nanotube’s surface, the energy gap declined. In other words, following interaction with CN, both conductivity and conductivity of penicillin (G) considerably increased. This enhanced conductivity can be employed to identify and measure CN, indicating the potential of CN to be used for the construction of new electrochemical sensors to measure penicillin (G) (
14).
The other important parameter is chemical hardness (η), which can be obtained using Equation 3. It is an appropriate parameter to evaluate the reactivity of a new compound, mainly due to the fact that softer molecules with lower chemical hardness can alter their electron density. Hence, soft compounds have the advantage of better and easier electron transfer, which is vital for chemical reactions.
Table 2 shows the enhanced adsorption on CN following reactivity of penicillin (G), as all derivatives produced using interaction with CN have lower chemical hardness compared to pure penicillin (G).
Chemical potential (µ) was calculated using Equation 4 and used for calculations related to other parameters. For each compound, Electrophilicity (ω) (Equations 5) and maximum charge transferred to the system (∆N
max) (Equations 6) show the tendency to absorb electrons. Each molecule reaction contains an electrophilic and a nucleophile. The receptor electron is the compound with higher electrophilicity and charge capacity, i.e., receiving electrons from the system (
15). As its electrophilicity is zero electron volts, penicillin (G) contributes to an electron donor in interaction with the nanostructure (
Table 2). Meanwhile, pure CN contributes to electron acceptor as its electrophilicity is 0.01 electron volts (
6). Hence, using penicillin (G), CN can enter electrochemical reactions18. Moreover, following adsorption on the surface of the carbon nanotube, the electrophilicity of penicillin (G) enhanced (
Table 2). Therefore, it enhanced the tendency of penicillin (G) towards electron adsorption (
16).
We also investigated the bipolar moment of the structures, which is an appropriate criterion for assessing molecules' solubility in polar solvents (
17). Molecules with higher dipole moments show better solubility in water and vice versa (
18). According to the findings, following adsorption on the surface of pure CN, the dipole moment of penicillin (G) increased (
9). Hence, CN derivatives with penicillin (G) are more water-soluble in comparison to the penicillin (G) (
19) (
Table 2 and
Figure 4).
Electrostatic potential maps are highly beneficial three-dimensional diagrams of molecules because they allow to calculate the charge distributions of molecules and charge-related characteristics of molecules. Furthermore, they can be used to visualize both the size and shape of molecules. Electrostatic potential maps are highly beneficial to predict the behavior of complicated molecules in chemistry. A color spectrum with red (negative charges) and blue (as positive charges), as the lowest and highest electrostatic 10 potential energy value, respectively, was used to convey various intensities of the electrostatic potential energy values. The former shows the least electrostatic potential (loose or excess bound of electrons) and acts as an electrophilic attack, while the latter shows the opposite (
Figure 5).
Comparing the results of the present study (molecular docking of penicillin (G) antibiotic with carbon nanotubes) with the results of some previous studies (molecular docking of penicillin with boron nitride nanotubes) shows that both carbon nanotubes and boron nitride with penicillin have exothermic and spontaneous interactions, but this interaction with carbon nanotubes is more effective; this claim is proven by the release of more heat (
20).