cement applications

cement applications

Cement is made by heating limestone with small quantities of other materials such as clay or sand to 1450C in a kiln. The resulting clinker, is then ground with a small amount of gypsum into a powder to make Portland cement. The most common use for Portland cement is in the production of concrete a composite material consisting of cement, aggregate (gravel and sand) and water.

Measuring and controlling the particle size distribution of cement is important both in order to achieve the desired product performance and to control manufacturing costs. Historic techniques of sieve and air permeability are still in use, but laser diffraction is becoming a more popular method to determine the particle size distribution of cement. The laser diffraction technique is quick, easy, reproducible, and provides a complete picture of the full size distribution.

Many cement labs have switched to using laser diffraction to measure the particle size of their cement. This technology is fast, easy to use, flexible, and repeatable. HORIBA offers two laser diffraction analyzers to the cement industry: the full featured and automated LA-960, and the smaller, more economical LA-350.

what is the fineness of cement | it's test and effects? - civil query

what is the fineness of cement | it's test and effects? - civil query

A Fineness of Cement is Measure of the size of Cement Particle, and it is described in terms of the specific surface area of Cement particle. The Fineness of cement can be Calculated by particle size analysis, by using the air permeability method, by using sedimentation method.

Size of Particles If the size of a particle is small i.e. fineness is high then the hydration process will be fast. Lets understand this by considering two cement particles of different sizes i.e. large particle and small particle.

Large Particle of Cement If we have OPC cement with larger particles, so we call this large particle as a lump. In this lump, other particles are also present in the inner surface (Refer drawing for better understanding).

When we pour water on it the water first forms a film over the surface of the large particle and reacts with the particles present on the outer surface. Then the water penetrates into the large particle and reacts with the other particles. This process is known as the hydration process which is slow due to the particle size.

Small Particle If we have OPC cement with small or fine particles then these particles are unattached to each other. So, when we add water into it this water reacts with these particles simultaneously as these are not attached to each other.

Final strength depends on the chemical composition due to which the final strength is going to be more or less. If the size of the cement is small or finely grinned then the initial setting time will be less. The final strength will be the same in both cases.

If we consider a cube of size 2cm x 2cm. So, the surface area of the cube is 24 cm2. This cube is further divided into 8 parts. Now, the size of the cube 1cm x 1cm. So now the surface area is 48 cm2 it just doubled from the first cube. Therefore, the increase in surface area faster the hydration process.

1. Better cohesiveness of concrete.2. Reduction in bleeding.3. Increase in heat generation.4. Increase in shrinkage and cracking.5. Better contact with water.6. The initial strength gaining process accelerates.7. Ultimate strength remains constant.

Permeability cell (12.5 +/- 1.0) mm diameter & (50 +/- 1.0) height, Plunger, U-Tube manometer, Perforated metal disc (1.0 mm) Perforation, Filter Paper disc (No.40 Whatman), Stop coak connected to U-Tube manometer and pressure bulb connected with a rubber bulb to the U-Tube manometer.

Initially apply oil in the inner portion of the permeability cell and on the surface of the plunger. Then place the perforated metal disc into the permeability cell, over the metal disc place filter paper.

Then take the calculated amount of cement to say 2.8 grams and place this cement in the permeability cell. Then take the plunger and press the cement placed in the cell until the collar comes in contact with the top of the cell.

Conclusion: Blaine air permeability test of cement is important since it gives an idea of the size of smaller grains of the particles which play a major role in the process of hydration and strength development of the cement.

My Name is Pranit Patil. I have Perceived BE in Civil Engineering in 2016 and since then I'm professionally working with this Field. I always wanted to Share my Experience with others so the basics and the concepts of civil engineering can be strengthened of the readers. So, we have created this Forum.

rapid screening tests for supplementary cementitious materials: past and future | springerlink

rapid screening tests for supplementary cementitious materials: past and future | springerlink

Rapid screening tests for supplementary cementitious materials (SCMs) have been in use for over 150years. Over the years a multitude of methods have been put forward to predict the strength development of SCM blended mortars and concrete. This paper summarizes and rationalizes the main approaches and then applies them to a selection of materials that cover a broad range of SCMs, both pozzolanic and hydraulic. Included are siliceous fly ash, blast furnace slag, natural pozzolan, metakaolin and an inert quartz filler. The selected test methods are the Chapelle test, the Frattini test, active silica and alumina extractions, a dissolution rate test, and a new calorimetry-based test. The results are compared, interpreted and discussed in view of their aim of predicting the compressive strength development. Finally, a new test method is proposed that relates the cumulative heat of the SCM reaction in a simplified model system to the compressive strength development in standardized mortars. The new method is practical, repeatable and applicable to a wide range of SCMs (both pozzolanic and hydraulic), it furthermore reduces the experiment duration by a factor of 10 and correlates well to the compressive strength development of blended cement mortar bars.

Vicat L (1856) Trait pratique et thorique de la composition des mortiers, ciments et gangues pouzzolanes et de leurs emploi dans toutes sortes de travaux suivi des moyens den apprcier la dure dans les constructions la mer. Imprimerie Maisonville, Grenoble

Raverdy M, Brivot F, Paillere AM, Dron R (1980) Apprciation de lactivit pouzzolanique des constituants secondaires. Proceedings of 7th International Congress on the Chemistry of Cement, pp IV3/3641

Tydlitt V, Zkoutsk J, ern R (2014) Early-stage hydration heat development in blended cements containing natural zeolite studied by isothermal calorimetry. Thermochim Acta 582:5358. doi:10.1016/j.tca.2014.03.003

Hadi Kazemi-Kamyab is warmly thanked for his help in the calorimetry experiments, Franois Avet generously provided compressive strength data. Financial support by the European Commission under FP7-Marie Curie IEF Grant 298337 is gratefully acknowledged.

Snellings, R., Scrivener, K.L. Rapid screening tests for supplementary cementitious materials: past and future. Mater Struct 49, 32653279 (2016). https://doi.org/10.1617/s11527-015-0718-z

cement particle size analysis

cement particle size analysis

Industrial, business or residential buildings, arenas, traffic routes or infrastructure projects contemporary architecture with its modern buildings is unimaginable without cement-bound materials. As a versatile and permanent binder for concrete, plaster, mortar or screed, cement is one of the most important and mostly used building materialsworldwide. By addition of water, cement turns into cement paste, which hardens through hydration to durable cement stone. The cement industry faces challenges such as assurance of consistent, grade-specific quality and furthermore energy and resource efficiency.

The main ingredients of cement, which are responsible for the hardening properties, usually give their name to the different types of cement: Portland cement clinker, granulated slag, pozzolanic cement, fly ashes, burnt shale, limestone or silica fume. In addition to standard cements with different consistencies there are a variety of cements for specific applications with special characteristics such as early or fast setting, low hydration heat, high sulfate resistance or low alkali content.Responsible for quality and uniformity of the different cement types is most of all, (next to the chemical composition of raw materials), the grain size distribution of cement, which is a result of the components grinding fineness. If the cements chemical composition doesnt vary, only the grinding fineness determines the strength class: The higher the grade of fineness, the faster the development of solidification and the higher the compressive strength after 28 days.Secondary components, such as ground inorganic or mineral raw materials, improve cements physical characteristics due to their grain size distribution. Grinding additives or separate grinding of single components also improve the cement properties in regards to workability, water retention capacity, strength or shrinkage and swelling.

During the grinding process from raw material to raw meal as well as during fine grinding of burnt clinker with additional primary components or additives, monitoring and control of grinding grade is crucial for assurance of cement quality and production efficiency. About half of the production cost in the cement industry is energy consumption primarily during burning and grinding. Prompt and precise control of cement grinding and material testing not only avoids energy and cost intensive overgrinding, it also allows cement grade changes in a very short time within one plant with only small amounts of out-of-spec material.While traditional procedures of fineness measurements, like sieving or the determination of cement powders specific surface using the Blaine-device, only deliver single values after time-consuming analyses, laser diffraction analysis evaluates the entire grain size distribution in high resolution without operator influence. The grinding grade, too high or too varying fine content (< 2 m) or coarse content are detected reliably and promptly. With a powerful dry dispersion, laser diffraction offers an unrivalled sensitivity and high reproducibility over the entire cement particle size range with user-independent measurements in a matter of seconds.

Sympatecs laser diffraction systems cover the entire spectrum of particle size analysis in the cement industry. As a pioneer of dry particle measurement technology we are established on the international cement market with numerous product and process specific installations. Applications in quality laboratories (off-line), fully integrated installations in laboratory automations (at-line) or particle size distribution measurement in real-time directly during grinding and screening (on-line) ensure best product quality with prompt production intervention. Dry measurement enables high sample throughput with minimal sample preparation and little cleaning effort.Robust instrument design and professional system maintenance by our qualified service employees ensure a lasting, outstanding quality and intrinsic value of the systems. Internationally operating cement producers with widely spread production locations trust our expertise as well as medium-sized or smaller specialty suppliers of general cement and specialities. Leading providers of turnkey ready cement plants and laboratory automations value us as original equipment manufacturer for the integrated laser granulometry.

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different types of screening equipment - constro facilitator

different types of screening equipment - constro facilitator

Screening equipment consists of a drive that induces vibration, a screen media that causes particle separation, and a deck that holds the screen media and the drive and is the mode of transport for the vibration. It is used during the mechanical screening processes, designed to separate one material from another. As the second part of the material handling process, screening equipment is used to separate raw material from a crusher or quarry into even finer grades, coming closer to an end product. There are two types of screens [wet and dry], totally dependent on the raw material. Wet screens utilize spray nozzles and water along with screen vibration in the sorting process, while dry screens use vibration only.

Trommels are widely used in gold mines since they are extremely efficient and very effective at recovering fine gold. The larger-sized models can handle impressive volumes of gold-bearing gravel when operating at peak efficiency. They are often powered by large diesel or electric engines. Modern trommel screens are highly efficient in the separation and processing of wood chips, topsoil, compost, light demolition waste, domestic waste and aggregates. Their rotating drums roll larger pieces of material to allow all fines to flow down and through the trommel screen plates. The latest models feature a highly efficient engine and hydraulic drive system combined with an advanced material processing control system offers maximum production combined with minimum costs. It is ideally suited for screening compost, biomass, soil, gravel & waste. Trommel Screens are attached to the end of grinding mills and scrubbers to perform a variety of screening functions. The trommel screen comprises the rubber-lined steel frame and replaceable screening surface.

Modern high-performance Vibrating Screens machine is engineered to deliver increased productivity and operating benefits compared to conventional spring-mounted vibro separators. With its hygienic design, this circular vibro screen is ideal for applications where hygiene is of utmost importance. Available as a fully stainless steel unit (including the stand) with contact parts. The conventional and general design for a high frequency vibrating screen consists of mainframe, screen web, eccentric bock, electric motor, rub spring and coupler. The two most common types of vibrators which induce the high-frequency vibrations are hydraulic or electric vibrators, these electric vibrators are either electric motors or solenoids. Common designs for screening decks are either single or double deck. Besides, another feature of high frequency vibrating screens is the static side plates which provide benefits such as smaller support structure, less noise, longer life, and hence less maintenance.

New age Disc Screen is adopting the patented anti-clogging system, developed for urban and industrial waste through years of experience and testing. The solution involves the isolation of the machine shafts from the material flow in coordination with the liberation of the material through the faceted disk shape. The latest models offer an efficient and cost-effective solution for any high volume screening application. These Screens operate by feeding material from an infeed device to the slope sheet. Smaller material, such as sawdust, falls through narrow openings in the disc, while larger materials like chips, bark and hogged wood continue to move to the end of the screen and fed to a grinder, hog, hammermill, re-chipper, bunker or reject conveyor.

New age grizzly screens have been designed for the toughest applications capable of high capacity and the ability to process abrasive material. These screens have a very robust design, which allows them to operate under tough conditions (primary or secondary). They particularly perform very well when used to remove the fines between two crushing stages. New series grizzly screens are equipped with many features enabling high efficiency and ensuring various operational advantages. These advantages reduce maintenance and servicing costs, along with necessitating less downtime. Grizzly screens can provide either linear or circular motion and each type offers its advantages. Linear motion grizzly screens work best for scalping ahead of primary cone crushers in mining applications, while circular motion grizzly screens for heavy-duty medium to fine pre or post-screening. Primarily used for the heavy-duty screening of undersized materials in bulk material handling applications, the most common industries that utilize grizzly screens include mining, construction, foundry, recycling and industrial.

New generation revolving screens help to overcome problems such as blocking or sticking screens in screening wet adhesive materials. The yield and reliability of the screen have been greatly increased. The application of screen materials includes various properties, such as coal, gangue, coke; hydrated lime and other easily plug wet materials. Be used in power plants, coking plants, building materials, metallurgy, chemical, mining and other industries.

The banana screen is designed by injecting a banana-shaped multi-stage working surface based on a linear classifier. There is a larger slope screen at the feed end, followed by a stepwise decrease at a certain number of angles until the discharge opening, the overall screen surface is concave curved. The sloped screen at the feed end allows for more material to pass through the screen surface with higher screening speeds and thinner material delamination. Modern banana screening machines achieve good separating accuracy at an extremely high feed rate and with difficult-to-screen material. Its operational behaviour makes it a high-speed screen. Compared with conventional vibrating screens, the banana screen handles a considerably larger feed quantity for the same screen area. Different gear unit sizes enable outstanding setting-up to suit your specific application. Balance masses and speeds can be adjusted in stages, enabling linear vibration amplitude and screen box acceleration to be optimally adapted to meet process requirements.

Elliptical-motion screening machines are driven by two centric main shafts, which generate a swing diameter as in a free-running drive. Another synchronized shaft transforms the swing diameter into an ellipse defined by its task. The second shaft distorts the swing diameter into an ellipse. The big advantage of these machines is that they can work with a very low inclination or with no inclination at all. or The elliptical-motion screening machine combines the advantages of linear- and circular-motion screens as well as enabling space-saving horizontal installation and high material throughput. Both mechanical and electronic elliptical-motion screens can be selectively varied and adapted to operating conditions. This is done by, amongst other things, altering the throw angle essential for transport speed and by adaptation of parameters important for acceleration of the machine, such as vibration amplitude and speed.

Modern horizontal screens are equipped with two vibrating motors rotating in opposite directions. This dual motor configuration in the Horizontal Vibrating Screen causes the screens frame to vibrate in a linear or straight-line motion perpendicular to the plane of the motors. Normally, the motors are positioned at an angle of 50 degrees concerning the screens surface. This results in an excellent forward conveyance of oversize particles, even when the screen frame is in an uphill position. Depending upon the application, the horizontal vibrating screens frame can be positioned from 10 degrees uphill to 15 degrees downhill. Maximum capacity is achieved in the uphill position, causing the formation of a pool at the feed end of the machine. The head or pressure from the pool increases fluid throughout. The horizontal vibrating screens of the screens frame efficiently conveys the oversize particles out of the pool area where they are then discharged.

The vibrating Inclined Screen is the most popular type of screen. There are various types of Inclined Screens, including two and four bearing, high-speed, and high-frequency screens. The overwhelming majority of installations today are either two or three decks, though there are single and four-deck varieties available as well. Modern models are designed with operator safety in mind. Side plates feature cross beam inspection ports that allow you to inspect the inside tubes for failures when the tube is not visible due to abrasion-resistant lining, thus eliminating the need for operators to crawl between decks for inspections. Foreign material that can corrode or abrade the inside of the cross members and cause premature failure can be flushed out via cross beam inspection ports. The eccentric mechanism features jacking bolts in the mechanism tube to support the eccentric shaft during bearing change-outs, eliminating the need for a crane to suspend the shaft or the chance of the shaft tipping over and injuring workers, creating a safer work environment and decreasing downtime.

Mobile screens are utilized in construction sites, aggregates production, quarries, and mining operations whenever movable but high capacity screening is required. The latest models come with high-quality components and engineering without compromises ensures trouble-free production. When service is required, it can be done simply and easily through easy-to-access maintenance points.

Screening equipment needs to match the project to ensure it can stand up to the job and function in the right environment. The mining, aggregate and mineral processing industries are the biggest users of screening equipment. These are often used in quarries and mines. With technological advancement the demand is ever-increasing. There is a need for customization of screening machines and the manufacturers are focusing on that.

materials | free full-text | penetration of cement pastes into particle-beds: a comparison of penetration models

materials | free full-text | penetration of cement pastes into particle-beds: a comparison of penetration models

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Weger, D.; Pierre, A.; Perrot, A.; Krnkel, T.; Lowke, D.; Gehlen, C. Penetration of Cement Pastes into Particle-Beds: A Comparison of Penetration Models. Materials 2021, 14, 389. https://doi.org/10.3390/ma14020389

Weger D, Pierre A, Perrot A, Krnkel T, Lowke D, Gehlen C. Penetration of Cement Pastes into Particle-Beds: A Comparison of Penetration Models. Materials. 2021; 14(2):389. https://doi.org/10.3390/ma14020389

Weger, Daniel, Alexandre Pierre, Arnaud Perrot, Thomas Krnkel, Dirk Lowke, and Christoph Gehlen. 2021. "Penetration of Cement Pastes into Particle-Beds: A Comparison of Penetration Models" Materials 14, no. 2: 389. https://doi.org/10.3390/ma14020389

combinatorial molecular optimization of cement hydrates | nature communications

combinatorial molecular optimization of cement hydrates | nature communications

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Despite its ubiquitous presence in the built environment, concretes molecular-level properties are only recently being explored using experimental and simulation studies. Increasing societal concerns about concretes environmental footprint have provided strong motivation to develop new concrete with greater specific stiffness or strength (for structures with less material). Herein, a combinatorial approach is described to optimize properties of cement hydrates. The method entails screening a computationally generated database of atomic structures of calcium-silicate-hydrate, the binding phase of concrete, against a set of three defect attributes: calcium-to-silicon ratio as compositional index and two correlation distances describing medium-range silicon-oxygen and calcium-oxygen environments. Although structural and mechanical properties correlate well with calcium-to-silicon ratio, the cross-correlation between all three defect attributes reveals an indentation modulus-to-hardness ratio extremum, analogous to identifying optimum network connectivity in glass rheology. We also comment on implications of the present findings for a novel route to optimize the nanoscale mechanical properties of cement hydrate.

More than 20 billion tons of concrete produced annually contribute 510% to the worldwide anthropogenic carbon dioxide production1. One strategy to reduce this environmental footprint is to enhance concretes specific stiffness or strength2,3 by optimizing the molecular-level properties of calcium-silicate-hydrates (C-S-H)4,5,6,7,8, the binding phase of concrete, validated against an array of nano-texture and nanomechanical experiments. In this scheme, a combinatorial database of atomic configurations of C-S-H would be generated by simulation and validated against available structural and mechanical data, with each configuration having a well-defined set of defect attributes as well as a set of corresponding mechanical properties such as elastic modulus and hardness. Optimization then consists of screening the database for the desired properties against the defect attributes, essentially in the spirit of structureproperty correlation.

The C-S-H binding phase comprises small nanoparticles of 5nm average diameter5, products of reactions between anhydrous calcium silicates and water that form a gel-like network of variable stoichiometry9. We have recently reported a model molecular structure of C-S-H, attained through computational simulations that were consistent with experimentally measured average composition, density, scattering and spectroscopic signatures4. It is worth mentioning that although Dolado et al.8 adopted a glass-quenching approach to produce an amorphous structure of C-S-H, we chose to start from the crystalline molecular structure of tobermorite. In fact, at low calcium-to-silicon ratio (C/S), method of Dolado et al.8 yields a disordered glassy structure for C-S-H, while our approach leads to dominant layered signatures as seen in experiment.

In the present work, this model is used to create the database of atomic configurations and corresponding defect attributes and mechanical properties for a wide range of C-S-H chemical compositions. Before using this database to screen for optimum mechanical behaviour, we compare the simulation results to available experiments, consisting of drying measurements, small angle neutron scattering (SANS), inelastic neutron scattering (INS), solid-state nuclear magnetic resonance (NMR) by others and by us, and our own wavelength dispersive spectroscopy, nanoindentation and transmission electron microscopy (TEM) experiments. These comparisons provide model validation and to gain insights into the system-level properties of the ensemble. We are especially interested in the effects on the mechanical behaviour of two types of defects. The first is the C/S ratio, which is well-known in cement chemistry. It can be defined as a measure of points defects (vacancies) in the silicate network10. The second type of defect pertains to variations that exist in the medium-range environment of the Si-O and Ca-O networks. It is most simply defined in terms of the first sharp diffraction peak in the Si-O and Ca-O partial structure factor, which is familiar in the study of silica glasses11.

The database for the combinatorial screening of mechanical behaviour is obtained by creating an ensemble of atomic structures of C-S-H with each member characterized by a known value of the C/S ratio over the range of 1.1 to 2.1; all the atomistic models are created consistently according to the procedure explained in Methods section and Supplementary Methods. This is achieved by randomly cutting silica chains (removing a number of charge-neutral SiO2 groups from 11 tobermorite) to increase the C/S ratio, allowing in the course of this procedure an account for reactivity through empirical reactive potentials. In applying combinatorial optimization to better understand the relation between defect attributes and mechanical behaviour of C-S-H hydrates, we search the generated database for atomic configurations that have optimum mechanical properties, and meanwhile we determine the defect attributes specifying these configurations. By mechanical properties, we mean the ratio of indentation elastic modulus (M) to indentation hardness (H). This M/H ratio is distinct from indentation toughness that refers typically to fracture toughness and depends also on indentation crack length12; here, high M/H describes a material of low elastic strain limit. By defect attributes, we consider C/S as an overall measure of chemical composition and two correlation lengths characterizing medium-range environments of Si-O and Ca-O networks. It is not known a priori whether atomic configurations having optimum M/H actually exist, and if so, which defect attributes are relevant. Thus, we begin our screening by first considering only the defect attribute C/S, as the database generated allowed for variations in atomic configurations at fixed values of C/S (Supplementary Methods). Although others4,13,14,15 have calculated elastic properties of distinct mineral phases such as tobermorite polymorphs and jennite via atomistic simulation methods, our approach provides a comprehensive screening of mechanical properties for the C-S-H phase as a function of its chemical composition. Regarding experimental aspects, although correlations between chemical composition and mechanical properties of synthetic C-S-H gels16,17,18,19,20 (fully cured or calcium-leached cement pastes21) have been previously reported, our approach provides a venue to directly assess mechanical properties of the elementary C-S-H nanoparticle as a function of C/S ratio.

To be specific about the different defect attributes considered, we show a typical atomic configuration of tobermorite 11 (ref. 22) in Fig. 1a. The unit cell contains the silica chains (Fig. 1b) and Ca atoms in two distinct environments, intralayer Ca (Fig. 1c) and interlayer Ca in the interlayer spacing (between adjacent calcium-silicate sheets as highlighted in Fig. 1d). Hereafter, the intralayer and interlayer calcium atoms are referred to as Ca and Cw, respectively. We introduce two correlation lengths and (see Fig. 1a). Here, is the medium-range correlation length as measured on Si-O-Si-O motifs and defined for silica glasses11,23. Similarly, is the medium-range correlation length measured on Cw-O-Cw-O motifs. Both and are present at around 4.3 and 4.6 in experimental total radial distribution function, respectively24. We will show that each of these two correlation lengths plays a different role in its influence on the mechanical properties, as they pertain to two distinct medium-range order environments in C-S-H atomic structure.

(a) The unit cell of tobermorite 11 is enclosed by black dashed line. The brown and cyan spheres represent intra- and interlayer calcium ions, respectively. Red and yellow sticks depict Si-O bonds in silicate tetrahedra. White and red sticks display hydroxyl groups and water molecules. By repetition of unit cells in all lattice vectors, a (2*2*2) supercell of the molecular structure of tobermorite 11 is constructed for representation and is outlined by dashed red line. The medium-range correlation lengths and , which pertain to Si-O and Cw-O network are represented by dashed black and blue arrows, respectively. The solid skeleton of tobermorite consists of three parts: (b) silica chains, (c) calcium interlayer and (d) calcium intralayer. (eg) Molecular model of C-S-H at C/S=1.1, 1.5 and 1.8. (e) At C/S=1.1, a lamellar structure is presented with minor defects in silica chains, reminiscent to that of 11 tobermorite. The interlayer regions contain counter charge-balancing calcium ions, hydroxyl groups and water molecules. (f) At C/S=1.5, several bridging tetrahedra are removed from the silicate chains. The interlayer calcium ions are still organized in well-defined sites. (g) The C/S ratio is further increased to 1.8 by removal of more silica tetrahedra. This indicates that from low to high C/S ratio, the C-S-Hs molecular structure changes from layered to a more amorphous structure.

A (3 2 2) supercell of 11 tobermorite is taken as the computational cell used in all the atomistic simulations performed in generating the combinatorial database and in evaluating the structural and mechanical properties to be discussed. Figure 1eg shows the sensitivity of atomic configurations to variations in C/S ratio in the range of [1.11.8]. Keeping in mind our procedure of removing silica groups to increase C/S ratio, we see a progression from a well-ordered lamellar structure at C/S=1.1 to a more disordered structure at C/S=1.8. In particular, the structural surroundings of the interlayer calcium atoms (Cw) as the C/S ratio increases are of prime importance, as this illustrates the subtle effects of introducing vacancies in the silica chains.

Predicted structural properties of C-S-H at 300K with C/S ratio are presented in Fig. 2, and compared directly against experiments. The number of initially absorbed water molecules is predicted to scale linearly with the C/S ratio (Fig. 2a), a behaviour that is found in both SANS5 and drying25 experiments. There is also consistency with the notion that a removed SiO2 unit occupies the volume of approximately two H2O molecules. As a result of using a reactive force field to model the interactions with absorbed water, a part of the initially grand canonically adsorbed water remains structural molecular water with composition-dependent dynamical anomaly and glassy nature26,27 (Fig. 2a), while a considerable amount of water molecules dissociates. The hydroxyl groups predominantly react with interlayer calcium ions to form CaOH bonds. The protons bond to non-bridging oxygen of defective silicate chains. To a lesser extent, CaOH bonds are also produced by condensation of silica chains, which releases an oxygen atom that combines with H+ to form a hydroxyl group. As a consequence of both mechanisms, we find that the number of CaOH bonds per Si atom increases linearly with the C/S ratio (Fig. 2b), including zero CaOH bond for C/S=1, corresponding to 11 tobermorite10. These predictions are validated by INS data28 and provide evidence that the present combinatorial simulation approach is able to describe the local water and Ca environments in C-S-H. The level of agreement achieved between simulations and experiments is largely due to the simulated annealing step incorporated in our database generation procedure (see Supplementary Information for further details). This means that the stoichiometry of the solid C-S-H phase can be essentially predicted from atomistic simulation, in the form of:

(a) The state of water in C-S-H interlayers at 300K. The total equivalent water contains both the hydroxyl groups and molecular water in the interlayer spacing. The water content is comparable with total equivalent water measured in SANS performed by Allen et al.5 and a set of controlled drying experiments done by Cong and Kirkpatrick25. (b) Number of Ca-OH bonds measured via topological analysis at 300K along with linear fit to the simulation data and their comparison with INS experiments measured by Thomas et al.28 (c) The effect of C/S ratio on the mean silicate chain length in reacted and unreacted models at room temperature compared with NMR experiments of this work and those carried out by Chen et al.31 and hyperbolic fits to the experimental data. The inset presents the variation of MCL before and after reactive modelling. About 20% of molecular models exhibit extra silica condensation and 5% show silica chains dissociations. (d) The total pair correlation function calculated from molecular dynamics trajectory at 300K and the comparison with X-ray diffraction experiments of Soyer-Uzun et al.39 The inset provides the comparison between coordination number of calcium ion as calculated from atomistic simulation and measured from X-ray diffraction39.

where x is the C/S ratio and a, b, c represent the variability in the nanostructure of C-S-H at a given C/S ratio (a=b=c=0 corresponds to average pattern for a given C/S ratio and |a|, |b|, |c|<0.2 to only account for polymorphism). The variability in the structure of C-S-H is due to the change in the structure of calcium-silicate backbone at a given C/S ratio. Note that (OHCa) and (OHSi) show hydroxyl groups in calcium-hydroxide and silanol groups, respectively. In Supplementary Discussion, we compare our approach with that of the T/CH model proposed by Richardson9,29,30. We show that our combinatorial approach to C-S-H not only provide a quantitative agreement with experimental data (water content, CaOH amount, mean silica chain length and X-ray diffraction pattern) but also has the ability to predict the mechanical properties (elastic modulus and hardness). We term these configurations that share a given C/S composition but differ in atomic level structural details as polymorphs, and later discuss the implications of C-S-H polymorphism. The mean chain length (MCL) of silicates in C-S-H, representative of the degree of polymerization of silicate monomers, is found to decrease nonlinearly with C/S (Fig. 2c); there is also a considerable range in the chain length for a set of polymorphs (for example, see C/S=1.8). Although some silicate groups, especially monomers, are found through reactive modelling to condense to form longer chains (see Fig. 2c inset and MCL behaviour in the inset of Fig. 2c), the amount of monomers at a given C/S before and after condensation reaction varies by <15% (Supplementary Fig. 3). The existence of a range of chain lengths, including monomers, indicated by our simulations is consistent with 29Si NMR experiments by others31 and by us, and is the basis of C-S-H polymorphs. Figure 2d compares simulation and experimental synchrotron X-ray data for the total pair correlation function. Both are qualitatively in good agreement; next, simulation data refines the position of all physical correlation peaks in Nx(r) function for different C/S ratios. However, we note that the CaO correlation peak is constantly broader in simulation. This does not affect the calculation of the calcium coordination number that is in quantitative agreement with experiment as shown in the inset of Fig. 2d. We note that the existence of secondary small features in the experimental data that correspond to no identifiable correlation distances and as such can be the results of truncation error in the Fourier transform of the original scattering data. An extensive discussion on the calculation procedure of Nx(r) is provided in the Supplementary Methods.

Several key features can be noted in the experimental validation of model predictions shown in Fig. 3, wherein the mechanical properties M and H were calculated using a nonreactive potential at 0K (Supplementary Methods). Both simulations and experiments indicate a significant decrease of the average indentation modulus M with increasing C/S ratio (Fig. 3a,b). It is not surprising that as C/S increases the calcium-silicate layers become more defective, and as a consequence, mechanical stiffness and anisotropy decrease. A similar trend is found for the hardness H, which is related to the mean pressure sustained beneath the indenter before permanent deformation (Fig. 3c). Compared with typical cement hydrates prepared via usual cement dissolution9 at a median C/S ratio of 1.7, C-S-H prepared at C/S=1 to 1.1 exhibits on average 31% and 48% superior stiffness and hardness, respectively. The C-S-H at low and high C/S ratios responds differently to defect incorporation in the silica chains. To elucidate this particular behaviour, we make use of the calculated full compliance tensor of each numerical sample, and determine the orthotropic in-plane and in-layer elasticity constants, M1 and M3 (Supplementary Methods) that would be measured in a Hertzian elastic contact loading along orthogonal directions of the calcium-silicate layers32. Given the random orientation of C-S-H particles in real cement paste, the experimental assessment of these M1 and M3 constants is still out of reach of current indentation technology. Simulation identifies a pronounced anisotropic behaviour of C-S-H at the nanoscale (Fig. 3b) in terms of a significant difference between the in-plane stiffness, M1, and layer-to-layer stiffness, M3. Although both M1 and M3 follow the trend of the indentation stiffness M (Fig. 3a), we can see that the elastic anisotropy, expressed by the ratio M1/M3 also decreases with increasing C/S ratio. That is, a highly anisotropic C-S-H at low C/S ratios (C/S<1.5) becomes gradually isotropic as long silica chains are shortened on increasing C/S ratio. To further appreciate the impact of texture on properties, it is instructive to employ the isotropic Euclidean norm of C-S-H stiffness tensor, defined as dE (Ciso, Ct)=||CisoCt||E, where Ct and Ciso are the full and isotropic parts of the stiffness tensor, respectively33. Applied to the C-S-H models, we find that this norm is almost constant for C/S<1.5 (Fig. 3d), which correlates well with the observation that C-S-H maintains a tobermoritic layered texture for low C/S ratios (see Fig. 1eg). This predominantly lamellar structure is in agreement with experimental observations by TEM30,34 and X-ray diffraction35. Indeed, C-S-H at C/S=0.86 shows a lamellar structure (Fig. 3e). In turn, for larger C/S ratios, the Euclidean norm decreases (Fig. 3d). For such compositions, C-S-H retains some long-range layered texture36 as TEM images show (Fig. 3f), but the increasing amount of defects in the silica chains reduces short-range order (Supplementary Fig. 3 shows Si-O and Ca-O radial distribution functions characteristic of glassy structures) that decreases elastic anisotropy (Fig. 3b, M1M3). Furthermore, Bauchy et al.36 showed that the molecular structure of C-S-H at high C/S ratio (C/S>1.5) is akin to the structure of a model calcio-silicate glass at short range.

(a) C-S-H solid particles indentation modulus, M. The computational data (this work, orange squares) were computed via a nonreactive potential at 0K, and compared with nanoindentation and wavelength dispersive spectroscopy experiments and previous ab initio calculations on 11 and 14 Tobermorite19. Gray boxes surrounding experimental mean values indicate standard deviation (STDV) calculated from standard errors by noting that M and Ca/Si are normally distributed (see Supplementary Methods). (b) Indentation modulus parallel (M1) and perpendicular (M3) to the calcium-silicate layers. (c) C-S-H solid particle's hardness, H. The computed data (brown squares) are compared with experimental values following the same convention as in a. (d) Computed isotropic Euclidean norm as an indication of the level of anisotropy in C-S-H. Orange lines are guide for the eyes. (e) TEM image of C-S-H at C/S=0.8634. (f) TEM image of C-S-H at C/S=1.7 produced from hydration of C3S. In both (e) and (f), TEM imaging conditions were in vacuum at 106 torr; the scale bar is 10nm. The error bars in atomistic simulations are calculated via computing M or H for multiple configurations along the equilibration trajectory that generated the C-S-H structures for each polymorph. For the sake of clarity, Fig. 3c shows one fewer experimental data point at C/S~1 and H~12 GPa, listed in Supplementary Table 6.

The goal of our combinatorial optimization is to find atomic configurations that give maximum M/H and correlate those molecular structures with corresponding defect attributes. The correlation of M/H with C/S ratio is shown in Fig. 4. Notably, some C-S-H configurations, with C/S ratio close to 1.5, exhibit maximum M/H. Next, we consider the thermodynamics stability of these polymorphs to consider their relative prevalence in experimentally accessible C-S-H.

The simulation results were computed with a non-reactive potential at 0K, and are compared against experimental data. Experimental M/H are shown as mean (points) and uncertainty (gray boxes) calculated by assuming M and H are normally distributed independent quantities that are each characterized by a standard deviation. See Supplementary Methods. For the sake of clarity, this graph shows one fewer experimental data point than in Fig. 3a, at C/S~1 with M/H~8; see Supplementary Table 6.

Numerous compelling experimental results from this and other experimental studies5,31 confirm our conjecture that C-S-H at the nanoscale can exist in different molecular structures for the same oxide composition, that is, same C/S ratio. Specifically, results from NMR experiments31 suggest that C-S-H at a given composition can have different MCL, and results from neutron scattering experiments5 imply that C-S-H of a given composition can exhibit varying water content. Figure 3 shows that calculated indentation modulus and hardness exhibit a range of possible values at a fixed oxide composition for a given C/S ratio. Experimentally measured M and H (for example, C/S~2.1 in Fig. 3a,c) confirm this potential variation in stiffness and hardness for fixed oxide chemistry. Yet, the existence of polymorphism calls for thermodynamics arguments to assess the co-existence of C-S-Hs of different molecular structure at equilibrium for a given composition. This is achieved in our simulation through the calculation of the free energy of the C-S-H models considerably below their melting point via lattice harmonic approximation theory from the phonon density of state. Interestingly, the free energy content of C-S-H polymorphs is almost constant at a given C/S ratio (Supplementary Methods). That similar level of energetic favorability implies that all polymorphs of a given C/S ratio are equi-probable at equilibrium, and thus thermodynamically competitive. This means that a targeted mechanical property at constant C/S ratio cannot be achieved through equilibrium conditions, but relies on the kinetics of silica polymerization and associated disorder assimilation.

To consider whether the short-range structural characteristics could explain why M/H is high at a specific C/S ratio, we performed a comprehensive search for correlations among structural characteristics (bond lengths, bond angles and coordination numbers) and mechanical properties. No such short-range correlations were identified. It was these findings that motivated us to consider medium-range correlation lengths as possible defect attributes as captured by the first sharp diffraction peak (FSDP) in covalent glasses11,23, which captures spatial correlations in the medium-range order (Supplementary Methods). Although its origin in amorphous silicate solids is not yet fully understood, it is commonly accepted that the FSDP relates to the periodicity of the boundaries between small adjacent structural cages of SiO4 tetrahedra37. The associated correlation distance in real space is given by =7.7/QFSDP, where QFSDP is the position of the FSDP in the partial Si-O structure factor, and the constant 7.7 is the location of the first maximum of the spherical Bessel function J0 (ref. 38). Overall, this distance characterizes how well SiO4 tetrahedra are packed as it corresponds to the distance between Si atoms and their second coordination shell of oxygen atoms24,39. Recently, it has been pointed out that as a coarse-grained defect attribute of network glasses, plays a significant role in enabling structural characteristics to be correlated with transport and rigidity properties38. Moreover, the lack of covalent bonding and the screening effect of structural water molecules make the chemical environment surrounding interlayer calcium atoms susceptible to deformation. This leads to the localization of the deformation at the interlayer region on application of uniform strain field4,40. This further motivated us to define, in a similar manner, the medium-range correlation length in the interlayer calcium environment pertaining to the Cw-O network (see Fig. 1a).

Given the fact that these structural defect attributes, (C/S, , ) may not be independent, it is reasonable to ask whether a broader search by screening two or more defect attributes together could be useful. In fact, we may benefit by extending the screening to correlations of M/H against C/S, and . For this purpose, contour plots of M/H values on surfaces of two defect attributes were considered. Figure 5a,b shows the contour plots (colour coded) of M/H on the surface of [C/S, ] (Fig. 5a) and [C/S, ] (Fig. 5b). In both cases, local regions of peak values are clearly identified. According to Fig. 5a,b, two optimum sets of defect attributes exist, one involving (C/S, ) and the other (C/S, ), which signifies that optimization of M/H can be achieved through the synergistic sensitivity to two sets of dual-defect attributes.

(a) C/S-(Si-O) and (b) C/S-(Cw-O). Both contour plots show a region in which M/H is maximized. The correlation among defect attributes (c) C/S-(Si-O) and (d) (Cw-O), and their (c) linear and (d) piecewise linear fit to the simulation results, which correlate with highest values of M/H described by packing of silica chains (responsible for higher stiffness) and openness of Cw-O network (responsible for lower hardness). The arrows in (c) and (d) indicate that the samples at Ca/Si~1.5 with high M/H would have lowest Si-O and highest Cw-O medium-range correlation lengths.

The notion of distributed (synergistic) sensitivity can be examined by correlating the defect attributes, specifically the relations between and C/S, and and C/S, which are shown in Fig. 5c,d. Within the considerable scatter in the data, it appears that increases essentially linearly with increasing C/S (Fig. 5c), while increases then plateaus (Fig. 5d). The increase in with C/S ratio corresponds to an increase in the magnitude of tetrahedrontetrahedron relaxation in the silica chainswhich is spatially distinct from the amount of nanometric SiO2 vacancy defects that correlates with C/S. Although the range of variation of is rather small [4.14.4], our results are nevertheless in agreement with recent diffraction studies34, which show that corresponding to Si-O peak in the total diffraction pattern (obtained after Fourier transforming the total X-ray scattering signal) does shift to larger distance on increasing C/S ratio (see Fig. 6 in ref. 12). This indicates that for a fixed C/S, the low-lying points correspond to atomic configurations where the local environment of the silica chains are more compact, and they therefore contribute to higher stiffness (M). Indeed, configurations of greatest M in Fig. 3a at a fixed C/S=1.5 were those that also exhibit lowest . Furthermore, in Fig. 5d, we see that reaches its maximum value signalled by a plateau at C/S>1.5. This corresponds to configurations with relatively open Cw-O medium-range environment, which indicates there is more space for deformation. This explains the hardness plateau in Fig. 3c, for relatively stable and low H for C/S>1.5. The appearance of M/H extremum in Fig. 5a,b results from a coupled optimization of and at C/S=1.5. Therefore, the C-S-H with maximum M/H value is a C-S-H at C/S=1.5, which simultaneously has a minimum in and maximum in . However, it should be kept in mind that these two are correlated. Another way to infer the significance of the peak region of M/H is to interpret M/H as proportional to the inverse of an effective yield strain.

To our knowledge, the simultaneous screening of mechanical properties against two defect attributes has not been previously considered in the cement science and chemistry literature. By comparing Fig. 5a,b and Fig. 5c,d, we believe this new approach has broad implications regarding property optimization. Simply stated, in Fig. 4 one seeks an extremum in a single-variable function M/H=f(C/S), whereas in Fig. 5 one seeks a function of two variables, M/H=f(C/S, ). Any effects of correlation between C/S and would be missed in Fig. 4. Moreover, the results of Fig. 4 and Fig. 5 suggest that M/H is a property distributed in two defect attributes rather than being fully characterized by the single C/S chemical attribute. This is perhaps to be expected, given the complexity of the molecular structure C-S-H. It is therefore rather gratifying that other structural attributes, the packing of the silica tetrahedra and the medium-range environment of the interlayer Cw-O network, can also affect the mechanical response.

This work has benefitted from studies of network-forming glasses38,41,42, which have given further insights into the concept of atom-averaged covalent coordination number, , as a structural attribute capable of identifying optimum network connectivity43,44. From measurements of microhardness, peak values of indentation fracture toughness on binary Ge-Se glasses were found when the properties were screened against (ref. 41), similar in spirit to our screening against medium-range correlation lengths (in addition to chemical composition C/S) in Fig. 5. Recently, it was pointed out that the defect attribute associated with the first sharp diffraction peak (see Introduction) plays a fundamental role in revealing extremum or anomalous behaviour in rigidity deformation and transport properties of network glasses38. Here again we see a connection with the present findings: a relation can be established between system-level properties and defect attributes in both network glasses, and in C-S-H.

In this work, we introduce an approach of combinatorial screening of indentation stiffness and hardness for realistic models of cement hydrates against a set of structural defect attributes. We find peak values in the measured M/H in two defect-attribute sets, (C/S, ) and (C/S, ). Based on considerations of various cross correlations among the defect attributes, we conclude M/H is a distributed property in that the relevant attributes of the underlying atomic configurations are coupled. We interpret the nature of the correlation to lie in the connectivity of medium-range environments, such as packing of silica network and openness of Cw-O regions of the cement hydrates. These medium-range structural attributes explain the observed mechanical properties: for a range of C/S, closer silica chain packing increases C-S-H stiffness, and larger distances between Cw-O pairs facilitates deformation and lowers hardness until a saturation of this effect at C/S~1.5. For a fixed C/S such as 1.5, polymorphs with closer packing of silicate tetrahedra exhibit higher stiffness, and those that also have increased distance between these calcium-oxygen sites exhibit lower hardness. Moreover, we believe the defect-attribute coupling to be a manifestation of inorganic molecular networks that may also describe other multi-component systems with structural complexities across the nano- and mesoscale. For future studies, it would be appropriate to focus on the characterization of pores and confined water in cement hydrates, and to assess meso-, micro- and macroscale toughness of concrete at the large scale. To achieve this, new mesoscale models45,46 have to be developed and validated, and appropriate databases generated. These will involve additional defect attributes such as particle packing density, pore size distribution and connectivity, and the effects of water in various spatial confinements47,48,49,50. The combinatorial approach introduced here is anticipated to aid those efforts, and may contribute to optimized concrete design that has the potential to ultimately reduce material consumption and associated CO2 production. Indeed, although the CO2 emission of cement clinker production scales with the volume of the concrete structural elements (beams, columns, etc), the structural strength scales with their cross-sectional area. By adopting a limit state design approach, it is thus expected that an increase of the macroscopic concrete material strength by a factor of allows reducing the environmental footprint to 1 for pure compressive members such as columns and shells, 2/3 for beams and 1/2 for plates3. As contemporary concretes are characterized, on average, by high C/S ratios, an increase in C-S-H strength achieved by reducing C/S from 1.7 to 1.1 (for instance with silica flour additions and proper curing conditions) can entail a reduction of material volume and associated CO2 emissions for compressive members. This projection assumes that the enhanced stiffness or hardness achieved by controlling molecular-level structures of C-S-H nanoparticles can be translated directly to the large-scale behaviour of concrete, and that hardness correlates directly with compressive strength (see Supplementary Methods). Specifically, further investigations are necessary to understand how molecular and mesoscale features and associated properties influence the structure and properties of networks or grains of calcium-silicate-hydrates, understand the effects of particle shape, size and interparticle cohesion, and also which nanoscale properties maximize certain macroscopic properties of concretea composite of multiple material phases.

The database for the combinatorial screening of mechanical behaviour is obtained by creating an ensemble of atomic structures of C-S-H with each member characterized by a known value of the calcium to silica ratio, C/S, lying in the range [1.1, 2.1]. The procedure used to generate this ensemble consists of seven steps of atomistic-scale simulations, which we summarize here (Supplementary Figs 18 and Supplementary Methods). First, a supercell of the atomic structure of tobermorite 11 according to Hamid22 is constructed. With the silicate chains having no defects, there are no hydroxyl groups in the system at this stage. Moreover, the chains are infinite in extent. Next, all water molecules are removed from the interlayer spacing in the supercell. In step three, 150 samples are prepared by randomly cutting the silica chains (removing a number of charge neutral SiO2 groups). Each removal causes the C/S ratio to increase. By cutting the chain at different locations, several samples with the same C/S ratio are thus generated. In this step, the interlayer calcium atoms are first allowed to relax by energy minimization using CSH-FF potential52 (Supplementary Material Tables 14), followed by all the other atoms and the supercell dimensions. In step four, water molecules are introduced back using a Grand Canonical Monte Carlo method using the same potential, simulating equilibrium with bulk water at room temperature. At step five, the inserted water molecules are allowed to react with the interlayer calcium and the silica groups by running semi-classical molecular dynamics simulations using the ReaxFF potential7. To accelerate the reaction, the system temperature is raised to 500K, which is well below the melting point of C-S-H. At this stage, the results show that some of the interlayer water molecules dissociate to hydroxyl groups and protons. Minor condensations/dissociation of silica chains are also observed in some samples. Of the 150 samples generated, all were amenable to equilibration within ReaxFF over the finite trajectory duration. In step six, a comprehensive topological analysis is performed to identify the local environment of species, in the process of distinguishing between different types of oxygen, hydrogen and calcium atoms. This facilitates the transition from the use of ReaxFF to the non-reactive potential, CSH-FF, which is well suited to study the mechanical properties of C-S-H phases and used for that purpose52. In the final step, a 3-ns-long simulated annealing is performed on each sample to bring the temperature from 500 to 300K at ambient pressure, using the CSH-FF potential. The annealing procedure consists of 1ns simulation at 500K followed by a 1-ns ramp to decrease the temperature to 300K and additional 1ns at 300K for relaxation. All the chemical and structural characterizations along with the mechanical properties (indentation modulus and hardness) are calculated from the atomic configurations prepared by this procedure.

It is the central goal of this work to probe the relation between mechanical properties (stiffness and hardness) and the various defect attributes via a combinatorial database established by atomistic simulations. To exclude the rate effect in the calculation of mechanical properties in molecular dynamics simulation, such calculations are performed via the energy minimization technique at 0K. Recently, Carrier et al.53 reported negligible difference between the elastic properties obtained via finite temperature calculations using elastic bath technique and those measured by energy minimization method for low water-containing clays. We are interested in the average elastic properties of the C-S-H solid particles expressed in terms of the indentation modulus (M), which is determined from the full compliance tensor of each C-S-H model, and evaluated by M=4G(3K+G)/(3K+4G), where G and K are VoigtReussHill shear and bulk moduli, respectively (Supplementary Methods). In our atomistic simulations, hardness (H) was determined by using the MohrCoulomb failure criterion, applicable to cohesive-frictional materials such as C-S-H54. This is achieved through a coupled biaxial (shear-compressive) deformation scheme in several independent deformation paths similar to those used for studying validity of the CauchyBorn rule55,56,57,58. The hardness is calculated from friction angle () and cohesion (c) (Supplementary Methods). Both indentation modulus and hardness are averaged among those configurations obtained from several statistically independent time frames along the equilibrium molecular dynamics (MD) trajectory for each polymorph.

To provide experimental validation of the predicted changes in C-S-H stiffness and hardness with chemical composition, we synthesized common industrial cement pastes under varying conditions (Supplementary Tables 5 and 6 and Supplementary Method). We implemented a statistical chemomechanical clustering method of composition, indentation modulus and hardness at the sub-micrometre scale (Supplementary Figs 913 and Supplementary Method). The Ca/Si ratio for each cement paste was determined by clustering X-ray wavelength dispersive spectroscopy data comprising 400 nanoscale volumes (voxels) per sample. The indentation modulus and hardness were quantified at similar length scales, via clustering analysis of nanoindentation grids54,59,60,61 including 400 voxels per sample. The mechanical properties thus obtained were corrected for the effect of mesoscale porosity to arrive at the indentation modulus and hardness of the monolithic or solid C-S-H nanoparticle21,62, for direct comparison with the simulation data. In addition, 1H-29Si cross polarization magic angle spinning NMR spectroscopy was employed to confirm silicate chain length, and TEM was conducted in vaccuo to visualize the C-S-H structure.

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The Concrete Sustainability Hub at MIT has supported this work with sponsorship provided by the Portland Cement Association (PCA) and the NRMCA Research and Education Foundation. We acknowledge CIMPOR for partial financial support of the foundational developments of this work and especially thank Drs Gonalo Almeida, J. Peraire and S. Lebreiro for discussions. K.J.K., F.J.U. and R.J.-M.P. wish to thank Schlumberger for partial support through the XCEM programme. This work has been partly carried out within the framework of the ICoME2 Labex (ANR-11-LABX-0053) and the A*MIDEX projects (ANR-11-IDEX-0001-02) cofunded by the French programme Investissements dAvenir, which is managed by the ANR, the French National Research Agency. M.J.A.Q., F.J.U. and R.J.-M.P. acknowledge fruitful discussions with Dr Jeff Thomas (Schlumberger) and Professor Hamlin Jennings (MIT).

Present address: Present address: Department of Civil and Environmental Engineering and Department of Material Science and NanoEngineering, Rice University, 6100 Main Street MS-519, Houston, Texas 77005, USA,

R.J.-M.P., F.J.U., S.Y. and K.J.V.V. conceived the original idea. R.J.-M.P., F.J.U., K.J.V.V., M.J.B. and S.Y. designed the research. R.J.-M.P., M.J.A.Q., M.B., R.S. and D.B. performed atomistic simulations. R.J.-M.P., F.J.U., M.J.A.Q., M.B., R.S., D.B.B., S.Y., K.J.V.V. and M.J.B. analysed the simulation results. K.J.K., K.S. and D.J. conducted the experimental chemomechanical analysis. K.J.K., D.J., K.S., M.J.A.Q., R.J.-M.P., F.J.U. and K.J.V.V. analysed the experimental data. A.B. acquired TEM images. M.J.A.Q., K.J.K., S.Y., F.J.U., M.J.B., K.J.V.V. and R.J.-M.P. wrote the paper.

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. The images or other third party material in this article are included in the articles Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/4.0/

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