3.1. Adsorption distance, adsorption entropy change, and charge transfer of HF, CS2 and COF2 on Au-TiO2
The optimized model and parameters (adsorption distance, adsorption entropy change, and charge transfer) of HF, CS2, and COF2 on Au-TiO2 surface are shown in Fig. 1–3 and Table 1.
Figure 2 shows the adsorption of CS2 molecules on Au-TiO2 surface. There is also two adsorption modes were considered, that is CS2 approaches to Au-TiO2 by C atom and S atom respectively. In C atom oriented system, CS2 molecule donates 0.093 e to Au-TiO2 surface with the − 0.378 eV adsorption entropy energy and 2.636 Å adsorption distance. For S atom oriented system, the CS2 gas molecule is also as the electrons donor and donate 0.116 e in the adsorption process. The adsorption entropy change and adsorption distance are − 0.885 eV and 2.669 Å.
As for COF2, three adsorption modes were considered, namely C atom, F atom, and O atom oriented system. In C atom oriented system, COF2 gas molecule donates 0.053 e electrons. The adsorption entropy change and adsorption distance are − 4.331 eV and 3.633 Å. In O atom oriented system, the charge transfer and adsorption entropy change are the same as those in C atom oriented system, however, the adsorption distance of 2.618 Å is smaller than that in C atom oriented system. In F atom oriented system, the adsorption entropy change and adsorption distance are − 2.228 eV and 3.996 Å, and the gas molecule donated a few of electrons of 0.004 e.
Table 1
Adsorption parameters of CS2, and COF2 on N-TiO2 nanotube surface
Gas molecules | Calculation system | Adsorption entropy change (eV) | Adsorption distance (Å) | Charge transfer (e) |
HF | -H -F | -0.368 -0.368 | 3.266 2.636 | 0.044 0.043 |
CS2 | -C -S | -0.796 -0.885 | 3.523 2.669 | 0.116 0.053 |
COF2 | -C -O -F | -0.431 -0.431 -0.228 | 3.633 2.618 3.996 | 0.053 0.043 0.004 |
3.2. The density of states of HF, CS2 and COF2 on Au-TiO2
The DOS distribution of HF absorbed on Au-TiO2 is shown in Fig. 4. Both TDOS distribution in H atom oriented system and F atom oriented system are similar to that of isolated Au-TiO2 surface,it indicates that the number of surface electron transitions in this system is fewer. The only difference is a novel peak appears around − 11 eV in the two oriented systems. As for the PDOS distribution, it could be confirmed that the 2p orbital of F atom mainly contributes to the new peak. In addition, the hybridization between 5d orbital of Au atom and 2p orbital of F atom is weak, and the overlapping area is also very small near the Fermi level. This further indicates that the interaction between Au-TiO2 and HF may be weak.
The DOS distribution of CS2 on Au doped TiO2 surface is exhibited in Fig. 5. one can observe the weak interaction between CS2 and Au-TiO2 surface by the comparing TDOS distribution of CS2 adsorption system with that of isolated Au-TiO2, where two TDOS distributions are basically similar to each other at the area near the Fermi level and the range among − 20 ~ -17 eV. But two novel peaks appear in -15.5 eV and − 9 eV of CS2 adsorption system. In addition, it can find that the 2p orbital of C atom is the main contributor of the new peak at -15.5 eV, and the 3P orbital of S atom is the main contributor of the new peak at -9 eV. The 2p orbital of C atom and the 3P orbital of S atom overlap evidently the 5d orbital of Au among − 7.5 ~ -5 eV. Moreover, the overlapping peak between the 2p orbital of C atom and 5d orbital of Au is little small than that between the 3P orbital of S atom and 5d orbital of Au, which shows that the interaction between CS2 and Au-TiO2 by S oriented system is more obvious.
The DOS distribution of COF2 on Au doped TiO2 surface is shown in Fig. 6. The TDOS distribution after Au-TiO2 surface absorbing COF2 gas molecule also has a little change, especially among the Fermi level. Comparing with the TDOS distribution of isolated Au-TiO2, four novel peaks appeared near − 14.5 eV, -11.5 eV, -10.5 eV, and − 8.5 eV in those of C atom and O atom oriented system. And four novel peaks appeared near − 13 eV, -11 eV, -9.5 eV, and − 8.5 eV in that of F atom oriented system. According to the PDOS distribution, the overlapping area between the 2p orbital of O atom and 5d orbital of Au is largest, followed by the one between the 2p orbitals of C atoms and the 5d orbitals of Au, the one of between the 2p orbitals of F atoms and the 5d orbitals of Au is smallest.
3.3. The HOMO and LUMO of HF, CS2 and COF2 on Au-TiO2
Based on frontier molecular orbital theory, the energies of HOMO, LUMO, and the energy gap Eo (Eo=ELUMO-EHOMO) were obtained and exhibited in Table 2. It can observe that the HOMO and LUMO of isolated Au-TiO2 are − 4.4987 and − 4.4826 eV respectively. The energy gap is 0.0161 eV.
As for HF, the energies of HOMO and LUMO in F and H atom oriented systems are larger than those of isolated Au-TiO2. And both the energy gaps in F and H atom oriented systems increase slightly in contrast to that of isolated Au-TiO2. As for CS2, the energies of HOMO in C and S atom oriented system are − 4.4806 and − 4.4725 eV respectively. And the energies of LUMO in C and S atom oriented are − 4.4623 and − 4.4488 eV respectively. Consequently, both energy gaps for CS2 adsorption are a little larger than that of isolated Au-TiO2. As for COF2, one can observe that the energies of HOMO in C, O, and F atom oriented system are − 4.4228, -4.4275, and --4.4737 eV respectively. And the energies of LUMO in F, O, and C atom oriented system are − 4.4035, -4.4094, and − 4.4563 eV respectively.
If the energy gap becomes larger, the conductivity of the system would decrease, while if the energy gap becomes smaller, the conductivity of the system becomes stronger [30]. So it could hypothesize that, to a large scale, the conductivity of Au-TiO2 would be decreased after adsorbing HF, CS2, and COF2. However, considering the little conductivity change and low adsorption energies, it could assume that this material is probably not suitable to detect the presence of HF, CS2, and COF2 precisely.
Table 2
HOMO and LUMO and relative energies for different absorption systems
Calculation system | Adsorption system | HOMO/eV | LUMO/eV | ∣HOMO―LUMO∣/eV |
Au-TiO2 | / | -4.4987 | -4.4826 | 0.0161 |
CS2 | C atom S atom | -4.4806 -4.4725 | -4.4623 -4.4488 | 0.0184 0.0237 |
COF2 | C atom O atom F atom | -4.4228 -4.4275 -4.4737 | -4.4035 -4.4094 -4.4563 | 0.0194 0.0182 0.0174 |
HF | H atom F atom | -4.4424 -4.4402 | -4.4218 -4.4221 | 0.0206 0.0182 |