Mohammed S.
Salha
ac,
Rickey Y.
Yada
b,
David H.
Farrar
c,
Gregory A.
Chass
*bcd,
Kun V.
Tian
*bce and
Enrico
Bodo
a
aDepartment of Chemistry, Sapienza University of Rome, Piazzale Aldo Moro 5, 00185, Roma, Italy
bFaculty of Land and Food Systems, The University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
cDepartment of Chemistry and Chemical Biology, McMaster University, Hamilton, Ontario L8S 4M1, Canada
dSchool of Physical and Chemical Sciences, Queen Mary University of London, London, E1 4NS, UK. E-mail: g.chass@qmul.ac.uk
eDepartment of Chemical Science and Pharmaceutical Technologies, Sapienza University of Rome, Piazzale Aldo Moro 5, 00185, Roma, Italy. E-mail: kun.tian@uniroma1.it
First published on 8th December 2022
Alumino-silicates form the backbone of structural materials including cements and the concrete they form. However, the nanoscale aspects of the oligomerisation mechanisms elongating the (alumino-)silicate chains is not fully clarified; the role of aluminium in particular. Herein, we explore and contrast the growth of silicate and alumino-silicate oligomers by both neutral and anionic mechanisms, with focus on the influence of Al on oligomer structure and stability. Further, the spontaneity of chain lengthening in the absence and presence of Al of differing coordination (Al-IV, V, VI) was characterised. Result trends showed Al-IV facilitating oligomerisation in neutral conditions, with respect to Si only systems, effectively promoting longer chain formation and stabilisation. The anionic pathway similarly showed Al reducing the overall energetic barriers to oligomerisation. In both conditions, Al's coordinative and structural flexibility, at O–Al–O hinge points in particular, was responsible for the lowering of the energetic expense for oligomerisation. The results and implications resolved herein are informative for chain formation and stability for bulk material properties of alumino-silicate materials such as cements, where the aluminosilicate systems are dominated by short chains of 2–5 units in length.
Atomistically, a key to the longevity of Roman concrete was the use of ground volcanic ash, which contains high amounts of aluminium. Modern literature points to high Al cements having increased durability, due to Al substitution into the main binding phases.5
Cement hydration involves a range of complex physical and chemical processes, with the main hydration product being calcium silicate hydrate (C–S–H), the nanoscopic structure of which is not yet comprehensively characterised. Studies employing non-destructive techniques such as small angle neutron scattering (SANS) have helped to establish some of the more quantitative properties, such as the Ca/Si ratio being ∼1.7 and the density ∼2.6 g cm−3.6 C–S–H's short-chain dominated structuring has also been characterised with 29Si and 27Al nuclear magnetic resonance (NMR), resolving the fractions of Si with differing connectivity: Q0 ≈ 10%, Q1 ≈ 66.7%, Q2 ≈ 23.3% and Q3–4 ≈ 0–1%,7 where Qn denotes the n-number of bridging oxygen atoms (i.e. non-terminal OH) the central Si or Al atom is bound to. The number of bound bridging oxygens influences the local electronic environments and thus the shielding and NMR chemical shift. For example, Si(OH)4 would be labelled as a Q0 unit, a bridged dimer [(HO)3Si–O–Si(OH)3] would be said to contain two Q1 silicates, whilst a trimer [(HO)3Si–O–Si(OH)2–OSi(OH)3] would equate to two Q1 silicates and one Q2 (Q1–Q2–Q1).
Essentially, these silicate oligomers make up the foundation of the C–S–H structure, with calcium setting in and around a myriad of “layered” silicate chains.8 The Ca2+ cation interacts with the electron-density concentrated at the O-atoms in the OH-groups (HOδ−). The H2O present in C–S–H exists in two forms: electrostatically bound to the HOδ− groups like Ca2+ and physically bound water which remains in the C–S–H and the concrete; essentially trapped in the structure.9 This inhomogeneous mix of differing structural elements, themselves of differing chemical identities, polarizability, physical sizes and shapes, densities, distributions & concentrations, result in a disordered system with a multitude of diverse surfaces and interfaces.
Atomic-level fracture in concrete and mortar occurs along stark interfaces between different phases.10 Chemical attack can trigger or exacerbate fracture by causing reactions in the cement that lead to mineral formation. Among these minerals is ettringite, whose growth inside concrete induces a series of micro stresses11 due to its mechanical properties. The rigidity of the silicate chains, due to the geometrically invariable Si-tetrahedra, gives the cement most of its strength and thus ability to support load without deformation.12 Yet, this same rigidity is responsible for the inherent brittleness, lacking toughness and thus vulnerability to fracture. Toughness being the ability of a material to undergo limited deformation through local dissipation of stresses.4
Contrastingly, Al in cements can exist in different geometries from 3-coordinated trigonal planar (albeit very rare) through 4-coordinate tetrahedral, 5-coordinate trigonal bipyramidal or square-based pyramidal, to 6-coordinate octahedral.13 The additional degrees of freedom and flexibility of the bonds and angles of the O–Al–O/Al–O–Si units contributes to the improved mechanical properties of Al-rich cement14; similar to other metal-containing functional material systems.15 Al is shown to substitute into Q2 bridging positions in silicate chains and the pronounced broadening and convolution of peaks in Al-NMR with respect to Si-NMR evidences increased geometric and configurational flexibility, hence Al helping to create hinge-points at the centre of a chain helping to dissipate external stresses.16 Al has also been shown to promote merging processes that increase the mean chain length (MCL) in cement.17 The silicate chain length in C–S–H tends to follow a ‘3n − 1’ rule (n = 1, 2, 3…) with a dreierketten arrangement, where the chain repeats every three units.18 Chain lengths of n = 2, 5, 8 are shown to be the most stable, including those with Al substitution.19 This spurred our interests to characterise the structures and stabilities of pentamers formed from silicate dimers and monomers, in the presence and absence of Al substitution (Scheme 1).
Scheme 1 Silicate pentamerisation initiating from two silicate dimers with Al positioned as a bridging atom, with manifold coordinations (Al-IV, V, VI). |
The current work focused on neutral and anionic mechanisms for silicate oligomerisation building on established results,17–20 with models of silicate monomers and their Al-IV, V, VI counterparts, oligomerising to Si/Al pentamers with Q2 Al.5 Details are shown in Scheme 2 (top/green), wherein an exemplar for neutral oligomerisation is shown using a 5-coordinate Al transition state complex (Al-V or Al-5). Therein, oligomerisation initiates via hydrogen bonds (H-bonds) forming between the reactants (RCT), drawing them closer together and aligning them for reaction. The transition state (TS) for the neutral mechanism involves the simultaneous formation of the (Al)–O–Si bond while breaking the Al–O(–H) bond as part of a 4-membered transition state. This proton transfer leads to the formation of water (condensation) and the Si–O–Al trimer (PRD1). This is then repeated with another Si-dimer to form the Si/Al pentamer (PRD2). A relatively high energy barrier is predicted for the transition state since the mechanism is predicated on molecular rearrangement, as opposed to an explicit nucleophilic attack. Work on silicate species by Zhang et al. showed neutral pH to favour linear oligomerisation whereas high pH favours ring closure.18
The anionic mechanism (Scheme 2, bottom/purple) may also be operative in cements due to their high pH environments (pH ∼ 11–14).21 Tracking the anionic example in Scheme 2 (purple), deprotonation of Si/Al OH groups generates Si(OH)3O(−). The Si anion initiates attack from the deprotonated silicate oxygen forming the first transition state (TS1), leading to a penta-coordinate Al-V intermediate (INT1). This is followed by the appearance of a second transition state (TS2) with that leads to the first product (PRD 1). This second TS is catalysed by a separate, explicit water molecule.22 The resultant charged trimer product repeats the process reacting with another dimer to form a pentamer (PRD2).
Scheme 2 highlights the asymmetry of Al substitution, since the anionic mechanism could potentially proceed inversely, using a Q0 Al (monomer) to attack an Si dimer, leading to a TS centred on the Si atom. This work models both these potential reaction pathways in the case of the anionic mechanism: (1) Q1 Al: An Al–Si dimer being attacked by an Si monomer; (2) Q0 Al: starting from Q0 Al attacking an Si dimer.
Towards exploring structure and energetics of both the neutral and anionic mechanisms, we employed a bare molecular cluster (BMC) approach23 to generate the geometries based on each step of the reactions (Scheme 2) and geometry-optimised these to the relevant critical point along their reaction profiles (structures located at minima or 1st-order TS on their hypersurfaces). Such non-periodic models allow for configurational and conformational freedom for all constituent and reacting components during chemical transformations and in set structures. Work by Trinh et al.24 revealed that the explicit inclusion of H2O changed the kinetics with respect to the gas-phase, thus further justifying their inclusion as opposed to a solely implicit solvent method. The free energy for each step of the reaction was determined from which relative values were determined (ΔGrel); this with respect to the energy of the starting reactants, and set to the ‘zero’ (ΔG = 0). For the neutral mechanism, the optimised structures are shown in Scheme 2 (right-hand side, green-shading) in the case of a tetra-coordinated Al-IV. The associated negative frequency motions in the neutral TS structures are illustrated in Fig. 1, involving the proton transfer.
Fig. 1 Atomic motions along the negative frequency mode during the proton transfer from Si–OH to form Al OH2 as part of the second transition state for the neutral mechanism using Al-5. |
The same approach was used to model the anionic mechanism (ten structures each profile), for all four cases, including the following: (1) Si-only: to compare relative free-energies in the absence of Al (i.e. Si vs. Al) as well as for differing Al-coordinations, (2) Al-IV; (3) Al-V; (4) Al-VI. In the case where the reactive Si monomer anion [Si(OH)3O(−)] attacks an Si–Al dimer, forcing the Al atom on the acceptor dimer raising coordination from Al-IV → Al-V (Q1, Al pathway). As Al can shift its coordination more easily than Si we compared the opposite case, wherein a nucleophilic anionic Al-monomer [Al(OH)3O(−)] attacks a Si-dimer (Q0, Al-pathway). Optimised geometries for the tetra-coordinated Al-IV pathway are shown in Scheme 2 (left-hand side, purple-shading). Fig. 2 shows the 6 membered ring with proton transfer occurring from the first Si–OH group through the catalytic water molecule and onto the second Si–OH group forming Si–OH2.
The Gaussian 09 (G09) program package26 was used for all computations in this work. The models were optimised using the density functional theory DFT B3LYP method with D3 dispersion correction and a with a 6-31G(d,p) basis set (B3LYP-D3/6-31G(d,p)), employing 6 × Cartesian d-orbitals (vs. 5 × spherical ones) and bondi radii; the latter shown to more accurately determine aqueous solvation free energies of ions and anions.27–30 Together with the explicit water molecules involved in the reactions, the reactive clusters were modelled in implicit water solvent employing the Polarizable Continuum Model (PCM) method.31 Analytical frequencies were computed on the geometry-optimised structures to confirm the identity of each structure as residing at minima or 1st order saddle points on their respective potential energy hypersurfaces (PEHSs). Thermochemical parameters and entropy contributions (at 300 K) were determined and used to determine free-energies. For reproducibility of thermodynamic and kinetic trends, Anionic Si and Anionic Q1 Al models were also determined with the CAM-B3LYP/6-311G(d,p) level.
With respect to Al systems, the coordination temporarily increases at the TSs; Al-IV → Al-V and Al-V → Al-VI TSs. The barrier of TS1 for the Al-IV path is lower than that of Al-V by ∼20.1 kJ mol−1 (52.8 vs. 72.9 kJ mol−1, Fig. 3), implying that Al-IV monomers are more likely to form Si/Al trimers. Pathways that initiate with an Al-VI monomer cannot supersaturate Al to adopt a heptacoordinated coordination (Al-VII) and instead lose a water ligand in favour of Al–O–Si bond formation. The molecular rearrangement forms this Al-VI TS, leaving a free H2O molecule. In a bulk cementitious environment water molecules generated locally as-such could be adsorbed in the capillary pores, else interact with Ca2+ cations or possibly react to form Ca(OH)2 (portlandite).
In these cementitious clusters, water molecules form H-bond networks with terminal Si–OH groups on the chains. These “extra” H-bonds result in the Al-VI reaction pathway having the lowest energy barriers even though the rearrangement process (where Al-VI spontaneously swaps ligands) is unlikely to take place as part of oligomerisation. The barrier associated with Al-IV → Al-V transition (magenta TS2 = +35.4) is 26.9 kJ mol−1 lower than the Al-V → Al-VI barrier (green TS2 = +62.3, Fig. 3). This leaves Al-IV as the optimal starting point for neutral oligomerisation.
Rather, there is need for inclusion of H2O particles and all reactants involved in the reaction profile at each step of the reaction (explicit H2O molecules + additional Si dimer), rather than energetic summation of individual components.
Such ‘all in’ method conserves stoichiometry across the profile. The rate determining step (RDS) must be considered for each system individually, for example TS2 for Q0 Al and Q1 Al are centred on different atoms (Si vs. Al respectively). In contrast to the work by Trinh et al., Fig. 4 shows the Si TS1 for trimerisation with a free energy barrier that sits lower than the subsequent water removal step (Si TS2).24 This may be explained by a hydrogen bond network formed between the Si monomer, dimer, the explicit water and the ‘spare’ (extra) Si-dimer, itself directly stabilising the anionic monomer [Si(OH)3O(−)] and lowering the free energy (Fig. 4, left-side). In Si TS3, this ‘spare’ Si-dimer makes part of the linear chain, thus leaving only water molecules available for H-bonding, in agreement with the literature where SiO Si bond formation is the RDS,24,33 albeit only slightly (TS3 ∼1.9 kJ mol−1 higher than TS4).
Both Q1 and Q0 Al pathways echo this trend with energy barriers for TS1 lower than that of TS2 (Fig. 4). Once the ‘spare’ dimer is incorporated into the chain, the barrier for the subsequent water removal step (TS4) drops to around half of the value of the preceding water-removal step (TS2). Stabilisation of the TS for the Si/AlO–Si bond formation step hinges on the relative stability of the Si/Al–O− anion and the ability of the Si/Al accepting centre to shift from 4- to 5-fold coordination. Al substitution employing [Al(OH)2(H2O)O(−)] anions as opposed to [Si(OH)3O(−)], to conserve charge.
Shifting the position of Al substitution from the attacking Q0 monomer (Fig. 4, magenta) to the accepting Q1 Si/Al dimer (Fig. 4, black), lowers the TS1 barrier by ∼14.2 kJ mol−1 relative to the Si-only pathway; previously 33.3 kJ mol−1 higher. This implies that initial short chain oligomerisation may be possible with Al if nucleophilic attack from [Si(OH)3O(−)] is feasible at the Al centre (Q1 pathway). As in the neutral mechanism, Al-substitution facilitates chain merging (trimer + dimer → pentamer) due to ease of coordination change at the Al-centre, the anionic mechanism is more spontaneous (lower free-energy) with reactive Al-centres.
While initial chain oligomerisation (TS2, dimer + monomer) remains the RDS along the Q1 Al path, the ensuing steps are all facilitated with an average barrier of ∼31.5 kJ mol−1. This implies that the effect Al has on chain merging begins after short chains (n = 2–3) have formed and that the position of Al in said chains is paramount to efficient oligomerisation. Kinetically speaking the trimerisation phase is roughly as viable with Si as it is for Q1 Al, with the discrepancies between TS1 and TS2 cancelling each other out However, in moving to pentamerisation Q1 Al exhibits TS3 and TS4 energy barriers that are 7.1 and 4.2 kJ mol−1, lower, respectively, than those of the Si-only pathway. Hence, the Q1 Al pathway is kinetically favoured for chain oligomerisation. Analysing these pathways from a thermodynamic perspective reveals a trough in the PES of each system at PRD 1 (the trimer). The trimers are the lowest energy products in all but the Q1 Al pathway, which has its PRD 2 (pentamer) 40.4 kJ mol−1 lower than PRD 1. This not only highlights the Q1 Al pathway as optimal for oligomerizing to longer chains over time but reveals the most stable bridging position for Al substitution into this pentamer (non-central Q2). Further, that oligormerisation of the Si-only systems would equilibrate at PRD1 with trimers dominating the system and sluggish movement beyond this stage; similarly for the Q0 Al pathway. Another noteworthy property of the Al substituted paths is that their 5-fold intermediates are more stable than the reactant steps that precede them (e.g. INT 1 < RCT 1). Al-V is stable and thus the Q1 Al pathway is both kinetically and thermodynamically favourable.
This is perhaps due to the contributions from Ca2+ ions that would be present in cement, as the introduction of free cations to these specific transition states have been shown to further inhibit chain merging; raising the TS1/TS3 energy barriers, in agreement with previous works.32 Our results indicate a kinetic preference for longer chains under anionic conditions with Q1 Al substitution and that this preference is further amplified in neutral conditions. Al helps to maintain chain length once it is established; the Si/Al pentamer ∼72.8 kJ mol−1 more stable than its starting configuration, whilst the Si-only pentamer is ∼31.6 kJ mol−1 less stable that its starting components (Fig. 4, ΔGrel of RCT vs. PRD2). Simulation results at higher level of theory (ESI†) confirm the thermodynamic and kinetic trends uncovered and presented herein (Table 1).
Reaction path | RCT → PRD 1 (kJ mol−1) | PRD1 → PRD 2 (kJ mol−1) | Overall |
---|---|---|---|
Neutral Al-4 | 52.8 | 35.4 | −50.3 |
Anionic Al-Q1 | 24.0 (TS1) | 31.0 (TS3) | −72.8 |
78.4 (TS2) | 32.0 (TS4) | ||
Anionic Al-Q0 | 71.5 (TS1) | 202.5 (TS3) | −22.3 |
39.9 (TS2) | 58.5 (TS4) | ||
Anionic Si | 38.2 (TS1) | 38.1 (TS3) | +31.6 |
65.4 (TS2) | 36.2 (TS4) |
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d2cp03918d |
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