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RESEARCH PRODUCT

Structure and Phase Transitions in Nanocrystals

J. C. NièpceL. Pizzagalli

subject

Surface (mathematics)Maxima and minimaPhase transitionchemistry.chemical_compoundMaterials scienceCondensed matter physicsNanocrystalchemistryBarium titanateFunction (mathematics)Grain sizeSurface energy

description

• A size effect, or confinement effect. The nanograin behaves like a kind of box, within which the property may or may not exist [1]. Below a certain critical size, characteristics of the property depend on the grain size. This is the size or confinement effect. The way these characteristics change as a function of size is often non-monotonic and can exhibit extrema. • A surface or interface effect. In the nanograin, the contribution from layers close to the surface occupies a more and more important place in the overall behaviour of the material as the grain size decreases [1]. The surface energy gradually becomes the dominating contribution to the total energy of the material. Such a property will evolve monotonically with size and can be treated within the framework of thermodynamics.

https://doi.org/10.1007/978-3-540-72993-8_2