3.1. Stationary point geometries
The oxidation reaction mechanism of vanillyl alcohol molecule has been revealed by our previous work. The three oxidation sites of vanillyl alcohol are H on phenolic hydroxyl group, H on hydroxymethyl group and H on methoxyl group. The transition state structures of three oxidation reaction channels and the scheme of the relevant reaction potential energy surface are provided as electronic supplementary material (ESM). The results show that the oxidation is easier on H site of phenolic hydroxyl group. Therefore, the oxidation reaction on H site of phenolic hydroxyl group is selected in this article, and the oxidation mechanism of three lignin model molecules is further revealed at the atomic and molecular level. The scheme of overall reaction process is shown in Fig. 1. The optimized geometry structures of the fifteen transition states at the B3LYP/6-311 + G(d,p) level are presented in Fig. 2. The optimized standard orientation of equilibrium geometries (reactants, transition states and products) of the fifteen reaction channels are listed in the ESM. The equations of fifteen possible reaction channels are listed in Table 1, including the optimized bond lengths of breaking and forming bonds of transition states and corresponding bond lengths in equilibrium reactant and product molecules, and the imaginary frequency values of the transition states are also listed in Table 1.
The oxidation reactions of p-hydroxybenzyl alcohol SOL(HOL or VOL) on H site of phenolic hydroxyl group by O2 under visible light irradiation forms syringic acid (SCA) via five steps. O2 attack to the H site of phenolic hydroxyl group and H has been abstracted to form phenoxy radical. The phenoxy radical presented one quinone isomers at the para-position. Then the addition reactions initiated by O2 at the para-position forming peroxy radical (R1OO radical), and further oxidize to peroxy acid (R1OOH) and peroxide products (R1OOR2). And then undergoes rearrangement to generate related products syringic acid SCA (p-hydroxybenzyl acid HBA or vanillic acid VCL ). For reaction channel RTS1-1, a complex CP-1 is located on the product sides, in which the O-H bond distance is 1.734Å, while the other bond lengths are very close to that of the corresponding product P1-1. Similar case is present in RTS2-1 and RTS3-1, O-H bond distances are 1.739 and 1.688Å, respectively. From Table 1, it can be seen that the transition states of hydrogen abstraction reactions TS1-1, TS2-1 and TS3-1 have a common characteristic, the elongation of C-H breaking bond lengths of TS1-1, TS2-1 and TS3-1 are 32.4 18.6 and 41.5,% longer than those in the equilibrium state, and the elongation of O-H forming bond lengths are 12.3, 13.9 and 7.1% longer than those in the equilibrium state. The elongation of the breaking bonds is longer than that of the forming bonds, indicating that these structures of the transition state is closer to the corresponding product structure, and these reaction channels are formed by ''late'' transition states with endothermic reactions, which is consistent with the Hammond hypothesis [24].
3.2. Energetics
The reaction Gibbs free energies (ΔG) and the reaction Gibbs potential barrier heights (ΔG≠) at 298 K of the fifteen reaction channels at the B3LYP/6-311 + G(d,p) level are also listed in Table 1. The schematic diagram of the potential energy surface related to the three oxidation reaction pathways is shown in Fig. 3. And the energies of the reactants are set to be zero as a reference.
Firstly, it can be seen that the Gibbs free energy barriers of SOL oxidation reactions with five steps are the lowest among three oxidation reactions from the overall schematic diagram of the potential energy surface, followed by the oxidation of VOL and the Gibbs free energy barrier of HOL oxidation reactions are the highest. The reaction channels for SOL oxidation are more advantageous than the others. For example, for the first step H-abstraction reaction channel (to see Table 1), the reaction Gibbs barrier of the reaction channel RTS1-1 is 26.42 kcal/mol, which is about 5.70 kcal/mol and 2.09 kcal/mol lower than RTS3-1 and RTS2-1, respectively. Similar cases appear in the other four steps, such as the Gibbs free energy barriers in order of ΔG≠(RTS1-2, 19.53 kcal/mol) <ΔG≠(RTS2-2, 21.38 kcal/mol) <ΔG≠(RTS3-2, 23.15kcal/mol). For reaction channel RTS1-1, a complex CP-1 is located on the product side, while the energy barrier is 2.11 kcal/mol lower than that of product P1-1. The Gibbs free energy barriers of complexes CP-2 and CP-3 are 0.41 kcal/mol and 1.34 kcal/mol lower than those of the correspond products P2-1 and P3-1, respectively.
Secondly, the Gibbs free energy barrier decreases with the increasing of the number of methoxyl group. Such as the reaction Gibbs potential barriers of the third step H-abstraction reaction are in order of ΔG≠(TS1-3 of SOL with two methoxyl groups, 21.71 kacl/mol) < ΔG≠(TS2-3 of VOL with one methoxyl group, 22.46 kcal/mol) < ΔG≠(TS3-3 of HOL without methoxyl group, 23.88 kcal/mol). Because of the strong electronegativity of oxygen atom on the methoxyl group, there are lone pair electrons on its p orbit, the p-π conjugate effect presented between O atom of the methoxyl group and benzene ring. The electron conjugation effect is stronger than that of electron-withdrawing induction effect, and the p electron cloud of the O atom shifts to the benzene ring, which lead to the H-abstraction reaction on the phenolic hydroxyl group site occur easier, so the more methoxyl groups there are, the stronger the reactivity. This is consistent with the experimental results [14].
Thirdly, the fifth step rearrange reaction channels form syringate acid (SCA), vanillic acid (VCL) and p-Hydroxybenzoic acid (HBA), and release a large amount of heat simultaneously. The results show that the reaction Gibbs free energy of reaction channel RTS1-5 is -92.33 kcal/mol, and reaction channels RTS2-5 and RTS3-5 are − 91.27 and − 88.64 kcal/mol, respectively, which is thermodynamics superior to other reaction channels.