To investigate the interaction regularity of molecules on Mg and Mg-based alloy surfaces is important in the biomedical field. In order to make the calculation results much clearer, we labeled the hydrogenated functional groups as NH
3, HCOOH, and HCN
3H
4, respectively. For the present work, the optimized structures of NH
3, HCOOH, HCN
3H
4, Arg(C
6H
14N
4O
2), Gly(C
2H
5NO
2), Asp(C
4H
7NO
4), Arg-Gly(C
8H
17N
5O
3), Gly-Asp(C
6H
10N
2O
5), Arg-Asp(C
10H
19N
5O
5), and RGD(C
12H
22N
6O
6) tripeptide are depicted in
Figure 1a–j. The optimized lattice parameters of the bulk hcp Mg were a = b = 3.188 Å and c = 5.193 Å, which were in good agreement with the experimental results (a = b = 3.210 Å, c = 5.213 Å) [
43]. The interaction regularity of functional groups, amino acids, dipeptides, and RGD tripeptide on Mg and Mg-based alloy surfaces were studied as follows.
3.1. Adsorption Properties of Molecules on Mg(0001) Surfaces
Functional groups play a crucial role in the binding process between functional molecules and metal surfaces. The binding process between the surfaces of biomedical materials and molecules depends on the properties of amino acids and peptides. Madden et al. [
44] studied the adsorption behavior of Gly on a Cu(311) surface using a combination of theoretical calculations and experimental methods. The calculated results showed that the adsorption structure of Gly was the most stable when a N atom in the amino group and an O atom in the carboxyl group were simultaneously adsorbed on the Cu(311) surface. The riveting atoms (such as N in the amino/guanidine group or O in the carboxyl group) interact with the surface atoms when biomolecules interact with biomedical surfaces [
45]. The adsorption process results in the redistribution of electrons in the system and the formation of chemical bonds. The stable adsorption configurations of functional groups, amino acids, dipeptides, and RGD tripeptide on Mg(0001) surfaces are represented in
Figure 2.
As shown in
Figure 2, the N atom in NH
3, the carbonyl O atom in HCOOH, and the N atom with double bonds in HCN
3H
4 bond to the Mg atoms of the surface. The amino acids, dipeptides, and RGD tripeptide mainly interacted with the Mg(0001) surfaces through functional groups. The theoretical radii for covalent bonding of N, O, and Mg atoms are 0.75 Å, 0.73 Å, and 1.36 Å, respectively. The theoretical bond lengths for covalent bonding of N-Mg and O-Mg atoms were 2.11 Å and 2.09 Å [
46]. The calculated bond lengths of N-Mg and O-Mg were in the range 2.13~2.33 Å and 1.94~2.28 Å in the case of adsorption molecules on Mg(0001) surfaces. This result was very close to the theoretical bond length for the formation of covalent bonds of N-Mg and O-Mg, and the -NH
2 and -C=NH groups in HCN
3H
4 play a crucial role in stabilizing the adsorption process.
The
Eads were calculated by using Equation (1), and the corresponding
Eads of functional groups, amino acids, dipeptides, and RGD tripeptide are shown in
Table 1,
Table 2 and
Table 3, respectively. For the
Eads of functional groups in
Table 1, the order of absolute values of
Eads was:
Eads (HCN
3H
4) >
Eads (NH
3) >
Eads (HCOOH). The
Eads of NH
3 on the Mg surface (−0.71 eV) was similar to the
Eads of NH
3 on the Cu surface (−0.78 eV) calculated by Nilsson et al. [
47]. The
Eads of HCOOH on the Mg(0001) surface (−0.64 eV) was not significantly different from the
Eads of HCOOH on the Cu surface (−0.48 eV) calculated by Jiang et al. [
48]. For the
Eads of amino acids in
Table 2, the order of absolute values of
Eads was:
Eads (Arg) >
Eads (Asp) >
Eads (Gly). The
Eads of each amino acid was greater than that of the functional groups. For the dipeptides and RGD tripeptide, the amino acids cannot reach the optimal adsorption state simultaneously during the adsorption, resulting in the
Eads being greater than the sum of
Eads of the amino acid due to the constraint of chain length. A similar phenomenon also occurred in the adsorption of RGD tripeptide.
It is known that dipoles play a crucial role in the binding process due to the presence of dipoles and the chemical activity of groups. As the length of molecular chains and the complexity of spatial configurations increase, the probability of non-coincidence of positive and negative charge centers increases, which may affect the adsorption behavior of molecules on the surface. In order to analyze the influence of the above factors, dipole correction was added perpendicular to the surface to study the effect of this parameter on the
Eads of molecules on the Mg(0001) surface. The results were compared with those without dipole correction, as shown in
Figure 3.
From the calculated results in
Figure 3, it can be seen that the addition of dipole correction slightly increased the
Eads of amino acids, dipeptides, and RGD tripeptide on the Mg(0001) surface. However, the effect was very small and did not change the trend of
Eads changes. This result indicates that the adsorption process studied was mainly a chemical adsorption process. In view of this, there was no need to add dipole correction parameters in the subsequent calculation process of the present work.
3.2. Effect of Alloying Elements on the Adsorption of Molecules on Mg(0001) Surfaces
Zn, Y, and Nd elements played a crucial role in the mechanical properties and biocompatibility of Mg-based alloys, and their electronegativity in comparison with Mg was also representative [
49]. In order to analyze the effect of the addition of Zn, Y, and Nd elements on the adsorption regularity of molecules on the Mg-based alloy surface, the selection of alloy content referred to the literature [
50].
For the adsorption of functional groups on the Mg-based alloy surfaces, the optimized adsorption configurations are depicted in
Figure 4 and the calculated corresponding
Eads are listed in
Table 4. The bond lengths of functional groups on the Mg-based alloy surfaces reported in
Figure 4 were close to the theoretical bond lengths for covalent bonding of N-Mg, O-Mg, Y-Mg, and Nd-Mg atoms [
46]. For the surface of Mg-Zn alloy, Zn with higher electronegativity obtained some electrons from the surrounding Mg atoms, causing a large number of electrons to accumulate around the Zn. It was easy for functional groups to be adsorbed on the Mg atoms which were around Zn atoms, and the addition of Zn enhanced the ability of functional groups to share electrons with surface Mg atoms to improve the
Eads. For the surfaces of Mg-Y and Mg-Nd alloys, it was easy for Y/Nd to transfer electrons to the surrounding Mg atoms due to the smaller electronegativity value. The ability to sharing electrons with the Mg-Y/Mg-Nd alloy surfaces was enhanced when functional groups directly interacted with Y/Nd atoms, making it easy to form the chemical bonds.
The initial configurations of Arg, Gly, and Asp adsorbed on the surfaces of Mg-Zn, Mg-Y, and Mg-Nd alloys were consistent with that on the Mg(0001) surface. The optimized stable adsorption configurations are shown in
Figure 5 and the calculated corresponding
Eads values are listed in
Table 5. The surface of Mg and Mg-based alloy surfaces became rough, and the bound Mg atoms were shifted up by about 0.10 Å due to the adsorption of Arg, Gly, and Asp. The charge on the surface of Mg-Zn alloy was redistributed and the bond lengths between molecules and the surfaces of Mg-Zn alloy were reduced. The reduced bond lengths were in the range of 0.01~0.07 Å, which enhanced the interaction of adsorbed molecules and Mg-based alloy surfaces.
The
Eads of Arg, Gly, and Asp on the Mg-Zn, Mg-Y, and Mg-Nd alloy surfaces are listed in
Table 5. Compared with that on the Mg(0001) surface, it was revealed that the interaction of configurations on the Mg-based alloy surfaces was enhanced and the promoting effect may become more effective by adding elements with smaller electronegativity. On the Mg-Zn alloy surface, Zn obtained some electrons from surrounding Mg atoms, which made it easier for N and O atoms in amino acids to share electrons with surface-bound Mg atoms due to the higher electronegativity of Zn (1.65) compared with Mg (1.31) [
51]. Meanwhile, in the case of the Mg-Y and Mg-Nd alloy surfaces, the amino acids preferred to interact with the Y/Nd element directly instead of the surrounding Mg atoms.
For the adsorption of dipeptides and RGD tripeptide on the Mg-based alloy surfaces, the stable adsorption configurations are depicted in
Figure 6. For the Mg-Y and Mg-Nd alloy surfaces, the distance ranges of N-Y, N-Nd, O-Y, and O-Nd were 2.32 Å~2.34 Å, 2.32 Å~2.38 Å, 2.12 Å~2.27 Å, and 2.12 Å~2.26 Å, respectively. These optimized bond lengths were very close to the theoretical covalent bond lengths for N-Y, N-Nd, O-Y, and O-Nd (2.37 Å, 2.39 Å, 2.35 Å, and 2.37 Å) [
46]. From the calculated
Eads in
Table 6, it was shown that the addition of Zn, Y, and Nd enhanced the interaction of dipeptides and RGD tripeptide on the Mg-based alloy surfaces. The
Eads of dipeptides and RGD tripeptide on the Mg-based alloy surface was significantly improved due to the redistribution of charges on the surface.
Based on the calculated results, the addition of alloying elements affected the ability to share the lone pair electrons of N or O atoms in molecules with Mg atoms of the alloy surface. It can be concluded that molecules were easily adsorbed on the Mg atoms around the alloy elements when alloy elements with higher electronegativity than Mg (such as Zn) were added. However, the surface charges were redistributed by adding alloying elements with smaller electronegativity than Mg (such as Y and Nd), which affected the electronic structural properties of the Mg-based alloy surface. The electrons of the Mg-Y/Mg-Nd surfaces were more active. Meanwhile, molecules easily interacted directly with the alloy elements with smaller electronegativity on the Mg-based alloy surface.
3.3. Electronic Properties of Molecules on the Mg(0001) Surface
In order to study the electronic structural properties of molecules on Mg and Mg-based alloy surfaces, the projected density of states (PDOS) of HCN
3H
4 and surface binding Mg atoms before and after adsorption were investigated as an example. The changes in the PDOS of the -CN=NH group in HCN
3H
4 before and after adsorption on the Mg(0001) surface are shown in
Figure 7.
According to the calculated PDOS in
Figure 7, both N atoms in the -CN=NH group contained lone pair electrons and this made it easy to share electrons with the Mg(0001) surface during the interaction. The Mg atom exhibited new peaks at the positions of −5.60 eV and −5.90 eV, while the N
1 atom (labeled atom in
Figure 1c) split into two peaks from the previous peak and moved towards lower energy positions. A new electronic state was formed at the position of −5.90 eV. The N
3 atom (labeled atom in
Figure 1c) interacted with the Mg atom at −5.60 eV, forming a new electronic state. The electronic states moved downwards to lower energy positions when the entire system reached a stable state, resulting in a lower and more stable total energy of the system.
To further analyze the bonding mechanism and charge changes during the adsorption process between molecules and Mg surfaces, we calculated the charge density difference (Δ
ρ) of the adsorption systems. The results are plotted in
Figure 8,
Figure 9 and
Figure 10. If Δ
ρ > 0, it indicates an increase in charge after the interaction; on the contrary, the charge decreased. Δ
ρ was obtained by using the following formula [
45]:
where
ρmol+sub is the charge density of the optimized adsorbate–substrate systems,
ρmol is the charge density of the adsorbed molecule without the surface,
ρsub is the charge density of the surface.
In
Figure 8, the obvious light cyan area on the surface of the Mg atoms indicates the charge depletion of the binding Mg atoms; the yellow areas indicate the strong interaction of the functional groups and Mg(0001) surfaces. Similar phenomena were observed in the adsorption of amino acids, dipeptides, and RGD tripeptide on the Mg(0001) surfaces, as shown in
Figure 9 and
Figure 10.