The results suggest a critical B/C ratio of ~0.09, at which the incubation time during hydrogen uptake by the Mg-B-erGO nanocomposites is the least and increases above or below this ratio (Fig. 1). The crystallographic (Fig. 2) and local environmental (Fig. 3 and 4) changes with the addition of B are used to understand the reasons behind this observation. The presence of Mg, B and C renders the scenario complex by developing binary Mg-C, Mg-B, B-C and possible ternary Mg-B-C interactions upon ball milling. These interactions can affect the incubation time during H-uptake.
In the nanocomposite where B is absent (B/C=0), the covalency of Mg as suggested by the aspherical charge distribution38 (p/q, Fig. 3a) indicates that there is an interaction between Mg and the surroundings. Further, the negative relative electron density in the octahedral interstices of the (0001) basal plane in Mg in B/C=0 (Fig. 3b, Supplementary Fig. S3) shows the deficiency of electrons at this site. This suggests that there is no electron donation from Mg to this octahedral site. Therefore, it is reasonable to conclude that Mg donates electrons to C, which appears as ‘Mg-C’ peak in C-1s XPS spectrum (Fig. 4a). This Mg-C interaction results in the C-2p π→π* transition peak, which is seen at ~290 eV in the C-1s spectrum (Fig. 4a)39,40. This electron donation from Mg to C can be reinforced by the fact that the electronegativity (χ) on the Pauling scale for Mg (~1.20) is lower than that for C (~2.55)41. However, it is to be noted that these electronegativity values are applicable when Mg and C are in their pure elemental states. Any local changes in the chemical environment can cause deviation from these electronegativity values. In our earlier work, we demonstrated that the Mg-C interaction causes an increase of charge on carbon atoms leading to a change of hybridization in C from sp2 to sp3, resulting in the C-H bond aiding H-uptake18.
A slight addition of B in B/C≈0.09 decreases incubation time and enhances H-uptake kinetics (Fig. 1). This improvement is due to the structural and local environmental changes introduced by B. Upon addition of B, a significant expansion of the Mg unit cell can be seen from the lattice parameters in Fig. 2. Normally, the repulsive forces between two entities within a unit cell can cause its expansion42. In the present scenario, it can be expected that B is incorporated within the Mg unit cell and possesses a positive charge. The incorporation of B happens in such a way that the structural integrity of the Mg unit cell is maintained (inset, Fig. 2). The lower asphericity in B/C≈0.09 compared to that in B/C=0 shown in Fig. 3a suggests that the Mg in B/C≈0.09 is less covalent than that in B/C=038. Most likely, the repulsion between the positively charged B and Mg is the reason for this. The relative electron density at the octahedral interstices in the (0001) Mg basal plane of B/C≈0.09 is more negative with respect to that of B/C=0 (Fig. 3b, Supplementary Fig. S3). In other words, the charge in these regions is more positive in B/C≈0.09 compared with that in B/C=0. This change is attributed to the possible presence of positively charged B in these interstices43 in the nanocomposite with B/C≈0.09. The likely reason for the positive charge over B is the charge transfer from B to Mg and/or to C. However, the charge transfer from B to Mg may not be possible as the electronegativity of elemental B is ~2.05 and that of Mg is ~1.2041. Therefore, most likely, the charge transfer takes place from B to C, giving rise to B-C interaction at ~283.5 eV (Fig. 4a).
In general, B-C interactions are also possible when B is doped in rGO19. However, in the present study, the B-1s core spectra for all the nanocomposites (Supplementary Fig. S5), show the absence of peaks corresponding to boron doping in carbon at various positions viz. B substitution at C (~189.1 eV), B4C (~187.7 eV), C2-BO (~191.4 eV), C-BO2 (~191.8 eV)44. This clearly indicates that there is no strong bond formation between B and C in the present study. Along with the B-C peak, C-1s core spectrum (Fig. 4a) also shows both Mg-C and C-2p π→π* transition peaks at the same positions as those in the case of B/C=0. This clearly shows that for the nanocomposite with B/C≈0.09, the Mg-C interaction and C-2p π→π* transition are not affected significantly upon B addition. The reason for this is that there is no significant charge transfer between Mg and B in B/C≈0.09, rendering the Mg-C interaction and C-2p π→π* transition almost unchanged in this nanocomposite with respect to B/C=0. The presence of both Mg-C and B-C interactions in B/C≈0.09 show that both Mg and B are charge donors to C.
Upon increasing the B content in the nanocomposites to B/C≈0.36 and 0.90 both the incubation time and the kinetics of H-uptake are deteriorated (Fig. 1). Interestingly, the lattice parameters of these nanocomposites are close to those of B/C=0 (Fig. 2). The possible reasons for the restoration of the Mg unit cell to its original size are: (i) B is not present within the Mg unit cell at these compositions; (ii) B is present within the unit cell and shrinks its size to almost the original value by developing possible additional interactions. However, it is likely that B is incorporated in the Mg unit cell even at compositions higher than in B/C≈0.09 (Fig. 3(b)). Therefore, the first reason is not plausible. Hence, the possible presence of B in the Mg unit cell is maintaining its size closer to its pristine counterpart (B/C=0). From Fig. 3a, the charge distribution around Mg atom clearly shows that it is almost spherical for B/C≈0.36 and exhibits the highest asphericity at B/C≈0.90. The presence of near-spherical charge distribution only in B/C≈0.36 suggests that the charge around Mg is being pulled more strongly along c direction (towards (0001) basal plane), than in the other nanocomposites, to attain this sphericity (Fig. 3a). In fact, this is supported by the electron richness in the (0001) basal plane in B/C≈0.36 as indicated by the positive ρOctahedral/ρmax (Fig. 3b, Supplementary Fig. S3). Further, it can also be observed from Fig. 3a that the electron density around Mg atom in B/C≈0.36 is the highest (~13.671 Å−3) among all the nanocomposites from the colour-coded scale. This shows that the various interactions in B/C≈0.36 are happening to a different extent compared with the other nanocomposites.
The different extent of the atomic interactions in B/C≈0.36 are evident from the increase in the Mg-C and B-C binding energies with respect to those in the lower compositions in the C-1s spectrum (Fig. 4a). This increase in the binding energies clearly indicates that a lower charge is received by C from both Mg and B34. Moreover, the lower charge reception by C is reinforced by the absence of the C-2p π→π* transition peak (Fig. 4a). An important question here is that: why does the charge reception by C decrease despite the charge donation by both Mg and B? The changes in the interactions of C with Mg and B also introduce observable interactions between Mg and B. Figure 4b shows the presence of Mg-B peak at ~51.3 eV, corresponding to the charge transfer from Mg to B36. The combined analysis of C-1s and Mg-2p spectra (Fig. 4) clearly indicates that Mg is donating charge to both C and B. As a result of this, the net charge received by C from Mg decreases (Fig. 4a). Similarly, as B shares its valence electrons with Mg, lower net charge is received by C from B (Fig. 4a). The presence of both Mg-B and B-C interactions render B a charge acceptor (from Mg) and a donor (to C), respectively. However, the electron richness at octahedral sites, which B is likely occupying, suggests that B is negatively charged making it a net charge acceptor. The results clearly indicated that ternary Mg-B-C interactions develop in B/C≈0.36. Similar interactions are observed in the case of B/C≈0.90 (Fig. 4).
The nanocomposite with B/C≈0.90 exhibits similar lattice parameters as those of B/C=0 and B/C≈0.36 (Fig. 2) and asphericity close to that of B/C=0 (Fig. 3a). Its ρOctahedral/ρmax value is negative similar to those of B/C=0 and B/C≈0.09 (Fig. 3b, Supplementary Fig. S3). Despite these similarities, it shows longer incubation time (Fig. 1) for H-uptake. This suggests that, possibly, a different level of interactions is present in this nanocomposite. From Fig. 4, all the peaks (Mg-C, B-C and Mg-B) are shifted to lower binding energies compared with those in B/C≈0.36 suggesting stronger interactions similar to those in of MgB245. However, the XRD pattern (Supplementary Fig. S1) does not show any MgB2 peaks [ICSD code: 26675]. Moreover, the absence of a peak at ~188.5 eV in the B-1s spectra (Supplementary Fig. S5) suggests that B is not arranged in hexagonal structure which is necessary for the formation of MgB245.
The analysis from the present study is used to propose a mechanism in terms of the structural and local environmental changes that help in reducing the incubation time during H-uptake. This mechanism is schematically shown in Fig. 5. Among the investigated compositions, those at B/C>0.09 develop ternary Mg-B-C atomic interactions, where C from erGO receives charge from both Mg and B (Mg-C, B-C in Fig. 4a). Interestingly, B also receives charge from Mg developing Mg-B interactions (Fig. 4b). Such a charge reception renders B negative making it a net charge acceptor. This is evidenced by the electron-rich octahedral interstices in Mg unit cell, where there is a likelihood of B’s presence (Fig. 3b, Supplementary Fig. S3). The attraction between the negatively charged B and Mg helps in maintaining the Mg unit cell size almost the same as that when B is absent (Fig. 2). Despite the charge donation to both C and B, the charge on Mg is <+2 rendering it difficult to bond with H (dotted arrow from H to Mg, Fig. 5). This results in the longer incubation times at B/C>0.09 (Fig. 1).
At the critical ratio of B/C≈0.09, B acts as a charge donor to C (Fig. 4a). The presence of the positively charged B in the octahedral interstices of Mg unit cell (ρOctahedral/ρmax, Fig. 3b, Supplementary Fig. S3) repels Mg (‘repulsion’, Fig. 5) and causes the lattice expansion (Fig. 2). Here, Mg is more positive relative to that at B/C>0.09 due to the lower binding energy of Mg-C (Fig. 4a) rendering Mg-H bond stronger (solid arrow from H to Mg, Fig. 5) than in B/C>0.09. The more positive Mg can bond strongly with H and can reduce the incubation time (Fig. 1).
The present study shows that various interactions among Mg, B and C in the Mg-B-erGO nanocomposites influence the reduction of incubation time and increase in the H-uptake kinetics in the order: (Mg→C; B→C)B/C≈0.09 > (Mg→C)B/C=0 > (ternary Mg→B→C)B/C>0.09.