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A nanomaterial has constituent particles or structural features on the nanoscale, conventionally around $1$–$100\mathrm{nm}$. A collection of nanoparticles is one example; a bulk piece containing nanoscale internal structure can also be relevant. The scientific interest lies in how dimensions and interfaces affect behavior, rather than in treating $100\mathrm{nm}$ as a universal physical threshold.^[ref]

A simple geometric calculation explains one important effect. Suppose a fixed volume $V$ of solid is divided into identical spherical nanoparticles of radius $r$. Ignoring contact between particles, their number $N$ and total surface area $A$ areReducing $r$ from $50\mathrm{nm}$ to $5\mathrm{nm}$ makes $1000$ times as many particles and ten times as much surface area, at the same total volume. More material is consequently close to an interface. Surface reactions and interactions with the surrounding medium can become much more influential; this geometric result alone does not guarantee a faster useful reaction or a more stable material.^[ref]

Size can also affect electronic behavior through quantum confinement. Which effect matters depends on the material, shape and environment. A useful comparison therefore holds composition fixed, measures particle dimensions with electron microscopy, and compares a chosen property across a size series. Such a comparison separates a size-dependent change from a change caused merely by using a different substance.^[ref]

The nanoscale is a range of dimensions conventionally around $1$–$100$ nanometres, where a nanometre is $10^{-9}$ metres. It describes a length scale, not a distinct substance. A film can have nanoscale thickness while extending over a macroscopic area.^[ref]

Properties change when a relevant dimension approaches a physical length controlling the behaviour, such as an electronic confinement length or a characteristic surface region. For a sphere, surface area divided by volume is $3/r$, so reducing its radius increases the relative importance of its surface. Nanoscale geometry can consequently influence chemical reactions and interaction with light even without changing the constituent chemical element.^[ref]

A nanostructure has structural features on the nanoscale. The relevant dimension may be the thickness of a thin film, the diameter of a nanowire, or the overall size of a nanoparticle. A material can therefore be macroscopically large while containing nanostructures internally.

The geometry matters because it changes the relative importance of surfaces, the distances over which charge carriers move, and sometimes the allowed quantum states. A thin film and a nanoparticle made from the same chemical material need not have the same properties: their quantum confinement dimensions and exposed surface areas differ. Characterizing a nanostructure requires specifying which dimensions are small, its shape and its chemical chemical composition, rather than reporting a single size alone.^[ref]

Nanotechnology studies and controls matter whose important dimensions are on the nanoscale, conventionally about $1$–$100$ nanometres. A nanometre is $10^{-9}$ metres. The scientific interest comes from changes in behaviour at these dimensions, including the increasing role of surfaces and, in suitable systems, quantum confinement.^[ref]

For example, subdividing a fixed volume into smaller nanoparticles increases the exposed surface area, changing how much material can participate in a surface reaction. Nanostructures can also alter electrical conductivity, interaction with light and mechanical properties by controlling geometry rather than changing only chemical chemical composition. Useful nanotechnology therefore combines fabrication with measurements of structure and properties, such as electron microscopy or atomic force microscopy.^[ref]