Expressing the Radius of an Atom in Nanometers

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Expressing the radius of an atom in nanometers is a process that will vary depending on the size of the element. Express the radius of an atom in nanometers with help from an experienced educator in this free video clip.

Part of the Video Series: Chemistry & Physics
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Hello, my name is Walter Unglaub. And this is expressing the radius of an atom in nanometers. So, for an isolated atom, we have a nucleus and then, we have some range in which the electron can be found. And depending on the element, hence the size of the nucleus and the atom. The size or approximate diameter of this atom, will range from point six angstroms to around six angstroms. Where an angstrom, this unit in terms of meters is equal to one times 10 to the minus 10 meters. If we're interested in radius, the radius we know is equal to half of the diameter. So, depending on the element and hence the atom, the range of radius will from point three angstroms to approximately three angstroms. If we want to re-express these bounds in terms of nanometers, we need to know the definition of a nanometer. So, we know that one nanometer is equal to one times 10 to the minus nine meters. Therefore we know that one nanometer is equal to 10 angstroms. So, we can use this conversion, this relationship nanometers and angstroms to re-express this bound on the size of atoms. And this simply becomes point zero three nanometers for the lower bound. And for the upper bound on the radius, it would be approximately point three nanometers. So, the radius of a particular element of the given atom will range from point zero three nanometers to point three nanometers. Where I've simply divided the previous bounds by 10, due to this definition of this relationship. My name is Walter Unglaub, and this is expressing the radius of an atom in nanometers.

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