How Strong Are Carbon Nanotubes?

CNTs are a remarkable class of materials, possessing mechanical properties that challenge known limits. These structures are single sheets of carbon atoms, known as graphene, rolled seamlessly into hollow cylinders measured in nanometers. This unique architecture yields a material that is exceptionally light yet exhibits extraordinary strength and stiffness. Understanding this strength offers a glimpse into the future of ultra-strong, lightweight materials poised to revolutionize engineering and technology.

The Atomic Basis of Extraordinary Strength

The incredible mechanical performance of a carbon nanotube begins with its fundamental atomic structure. Each carbon atom within the tube wall is covalently bonded to three neighbors, creating a perfect, hexagonal lattice pattern, identical to graphene.

The \(sp^2\) covalent bonds are the primary source of the nanotube’s resilience. These bonds are among the strongest chemical linkages found in nature. Their seamless arrangement across the cylindrical structure distributes any applied force uniformly and efficiently, preventing weak points.

Because the tube is formed from a single layer of atoms, it is technically a single, giant molecule. This molecular perfection means there are no grain boundaries or microstructural flaws that typically weaken conventional materials like metals and ceramics. Breaking a carbon nanotube requires simultaneously rupturing millions of these robust bonds, demanding immense energy.

Quantifying Carbon Nanotube Strength

Quantifying CNT strength requires examining two primary measurements: tensile strength and Young’s modulus. These values, especially for an individual, flawless nanotube, place it in a class of its own.

Tensile strength measures the maximum stress a material can withstand before failing under tension. Theoretical models and experimental measurements on individual, defect-free single-walled CNTs indicate tensile strengths reaching up to 100 gigapascals (GPa). Experimental values for multi-walled nanotubes typically range from 11 to 63 GPa. For comparison, the best high-strength steel alloys fail at tensile strengths of around 1 to 2 GPa.

The material’s stiffness is measured by Young’s modulus, which describes resistance to elastic deformation. Carbon nanotubes exhibit a Young’s modulus consistently in the terapascal (TPa) range, often cited around 1 TPa, with some measurements reaching 1.47 TPa. This stiffness is comparable to diamond. This combination of extreme strength and stiffness means the nanotubes are not only difficult to break but are also highly resistant to stretching or bending.

Specific Strength

Beyond absolute strength, the specific strength of CNTs, which factors in their low density, is unmatched. CNT density is low, approximately \(1.3\) to \(1.4 \text{ g/cm}^3\). When strength is divided by density, the resulting specific strength can be up to \(48,000 \text{ kN}\cdot\text{m}\cdot\text{kg}^{-1}\). This makes it the highest of any known material, roughly 300 times greater than high-carbon steel.

Translating Strength to Practical Materials

The immense theoretical strength of a single carbon nanotube is difficult to translate directly into a usable, macroscopic material. The realized strength of bulk materials, such as CNT fibers or polymer composites, is often only a fraction of the individual tube’s potential. This reduction results from several physical and structural factors that emerge when scaling up from the nano-level.

Structural Defects

One factor is the presence of structural defects, which inevitably occur during manufacturing. Atomic vacancies or topological defects, such as the Stone-Wales defect, act as stress concentration points. These flaws become the weakest link, initiating fracture at stresses far below the theoretical maximum of a perfect tube. High levels of such defects can reduce the tensile strength of the individual tube by as much as 85%.

Load Transfer Limitations

Another limitation arises from the challenge of effectively transferring load between adjacent nanotubes in a bulk material. Individual nanotubes are held together only by weak van der Waals forces. When a composite is stressed, the load is poorly shared across the network of tubes, causing failure when the weakest inter-tube connection breaks. This weak shear interaction means the effective strength of a CNT bundle can drop significantly from the theoretical 100 GPa.

Chirality and Heterogeneity

The geometrical structure of the tube also plays a role, as strength is influenced by its chirality—the angle at which the graphene sheet is rolled. Nanotubes with different chiral angles have varying strengths. A bulk material contains a mixture of these structures, leading to a heterogeneous strength profile. Despite these challenges, CNTs reinforce lightweight composites for aerospace and sporting goods, offering substantial performance gains over conventional materials. Researchers continue to develop techniques, such as chemical crosslinking and better alignment methods, to bridge the gap between nanoscale potential and macroscopic reality.