Related topics: nanoparticles

A 'twist' brings new possibilities for ultra-thin 2D materials

A new study from The Australian National University (ANU) shows how the ability of 2D materials to convert sunlight into electricity can be controlled by simply "twisting" the angle between two ultra-thin layers correctly.

Reforesting Europe would increase rainfall – new research

"Plant more trees" is often the first idea that comes to mind when we think about how to prevent further climate change or at least adapt to its impacts. There are good reasons for this. Multiple studies have shown that as ...

The end of Darwin's nightmare at Lake Victoria?

Lake Victoria, which came under the spotlight in 2004 by the documentary "Darwin's Nightmare," is not only suffering from the introduction and commercialisation of the Nile perch. A study lead researchers from the University ...

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Surface area

Surface area is the measure of how much exposed area a solid object has, expressed in square units. Mathematical description of the surface area is considerably more involved then the definition of arc length of a curve. For polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.

General definition of surface area was sought by Henri Lebesgue and Hermann Minkowski at the turn of the twentieth century. Their work led to the development of geometric measure theory which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.

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