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Related Concept Videos

Thermal Strain01:19

Thermal Strain

Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...
Thermal expansion and Thermal stress: Problem Solving01:27

Thermal expansion and Thermal stress: Problem Solving

San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.
Thermal Stress01:09

Thermal Stress

If the temperature of an object is changed while it is prevented from expanding or contracting, the object is subjected to stress. The stress is compressive if the object expands in the absence of constraint and tensile if it contracts. This stress resulting from temperature change is known as thermal stress. It can be quite large and can cause damage. To avoid this stress, engineers may design components so they can expand and contract freely. For instance, on highways, gaps are deliberately...
Thermal Expansion01:22

Thermal Expansion

The expansion of alcohol in a thermometer is one of many commonly encountered examples of thermal expansion, which is the change in size or volume of a given system as its temperature changes. The most visible example is the expansion of hot air. When air is heated, it expands and becomes less dense than the surrounding air, which then exerts an upward force on the hot air to, for example, make steam and smoke rise, and hot air balloons float. The same behavior happens in all liquids and gases,...
Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
Saint-Venant's Principle01:18

Saint-Venant's Principle

The principle of Saint-Venant postulates that the stress distribution within a structural member does not rely on the precise method of load application except in the vicinity of the load application points. Consider a scenario where loads are centrally applied on two plates. In this case, the plates move toward each other without any rotation. This movement causes the member to contract in length and expand in width and thickness. Uniform deformation across all elements and maintaining...

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Design Principles for Negative Thermal Expansion in Two-Dimensional Materials.

Soumya Mondal1, Ayan Datta1

  • 1School of Chemical Sciences, Indian Association for the Cultivation of Science, Jadavpur 700032, India.

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|July 2, 2026
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Negative thermal expansion (NTE) in two-dimensional (2D) materials offers unique properties, amplified by reduced dimensionality and unconventional phonon dynamics. This review explores mechanisms, tunability, and future design strategies for enhanced NTE in 2D systems.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Negative thermal expansion (NTE) is an unusual material property where substances contract upon heating, contrasting with conventional positive thermal expansion (PTE).
  • NTE challenges traditional lattice dynamics and holds significant potential for applications in composites, electronics, and sensors.
  • While NTE is documented in bulk materials, its exploration in two-dimensional (2D) systems is limited but shows amplified effects due to quantum confinement and unique phonon behaviors.

Purpose of the Study:

  • To provide a comprehensive, mechanism-oriented overview of NTE phenomena in various 2D materials.
  • To discuss intrinsic mechanisms driving NTE in 2D systems, including phonon dynamics, structural transitions, and bonding characteristics.
  • To explore strategies for tuning NTE in 2D materials, such as pore modulation, doping, and defect engineering.

Main Methods:

  • Review of existing experimental and theoretical studies on NTE in 2D materials.
  • Analysis of mechanisms like rigid-unit modes (RUMs), flexural phonons, and spin-crossover.
  • Discussion of computational approaches including high-throughput calculations and machine learning (ML) for predicting NTE properties.

Main Results:

  • NTE is significantly enhanced in 2D materials due to reduced dimensionality, leading to large NTE over wide temperature ranges.
  • Various 2D materials, including graphene analogues, h-BN, TMDs, and phosphides/arsenides, exhibit NTE through diverse mechanisms.
  • A trade-off exists between low lattice thermal conductivity (TC) and pronounced NTE in many 2D systems.

Conclusions:

  • 2D materials offer a promising platform for realizing and enhancing NTE due to unique quantum confinement and phonon effects.
  • Tunability strategies and advanced computational methods (ML, topology-guided design) are crucial for rational design of 2D NTE materials.
  • Further research is needed to overcome challenges in structural design and controlled tuning for practical applications of 2D NTE systems.