Thermodynamic Properties of Nanostructured Materials

Nanostructured materials exhibit thermodynamic behaviour that departs significantly from their bulk counterparts owing to pronounced surface‐to‐volume ratios, quantum confinement and altered atomic coordination at interfaces. As particle dimensions shrink into the nanometre regime, melting temperatures decline, cohesive energies adjust and entropy and enthalpy of transition processes are modified. Surface energy contributions dominate overall free energy, giving rise to phenomena such as pre-melting layers and size-dependent phase stability. These effects have profound implications for applications spanning catalysis, electronics, energy storage and reactive materials, where precise control of thermal stability, heat capacity and phase-change kinetics can enable new device architectures and enhanced performance. The interplay of classical thermodynamics with atomistic modelling and in situ characterisation continues to refine our understanding of these size-driven effects and to guide the design of next-generation nanomaterials.

Research from Nature Portfolio

Studies of III–V nanocrystals have demonstrated that band gap widening, dielectric constant reduction, elastic modulus diminution and melting temperature depression can be captured within a coherent thermodynamic framework. By extending cohesive‐energy models to account for both size and shape, researchers established quantitative relations that reconcile theoretical predictions with experimental trends for tetrahedral and spherical GaN nanocrystals. In parallel, investigations of colloidal indium, tin and bismuth nanocrystals dispersed in polymer matrices have delivered precise measurements of melting temperature, enthalpy and entropy across 10–20 nm sizes. These works reveal that melting enthalpies and entropies decrease more steeply than melting temperatures, that organic ligands can transiently stabilise surfaces and that broad endothermic melting valleys reflect substantial surface pre-melting and suppressed heterogeneous nucleation during solidification.

Thermodynamic Properties of Nanostructured Materials publication trend

The graph below shows the total number of articles in thermodynamic properties of nanostructured materials across all publications each year (not limited to Nature Index journals).

Technical terms

Gibbs–Thomson effect: Curvature-induced reduction of melting temperature due to increased surface energy in small particles.

Cohesive energy: Energy required per atom to disassemble a solid into individual free atoms, reflecting internal binding strength.

Surface energy: Excess free energy at the surface of a material arising from unsaturated atomic bonds compared to the bulk.

Quantum confinement: Restriction of electronic wavefunctions in nanometre-scale structures, leading to discrete energy levels and altered optical or electronic properties.

Melting point depression: Phenomenon by which the melting temperature of a material decreases as its size is reduced to the nanoscale.

References

1. Direct Imaging of Surface Melting on a Single Sn Nanoparticle. Nano Letters (2023).
2. First-Principles Investigation of Size Effects on Cohesive Energies of Transition-Metal Nanoclusters. Nanomaterials (2023).
3. Correlation between band gap, dielectric constant, Young’s modulus and melting temperature of GaN nanocrystals and their size and shape dependences. Scientific Reports (2015).
4. Size-Dependent Melting Behavior of Colloidal In, Sn and Bi Nanocrystals. Scientific Reports (2015).
5. Size Dependent Properties of Reactive Materials. Inorganics (2022).