An "angstrom" (symbol: Å) is a unit of length that is commonly used in the field of nanotechnology, molecular biology, and atomic-scale physics and chemistry. It is named after the Swedish physicist Anders Jonas Ångström, who made significant contributions to the study of spectroscopy and the understanding of atomic and molecular structure.
One angstrom is equal to 0.1 nanometers (nm) or 1 × 10^-10 meters (m). In other words, it is a very small unit of length, often used to describe the size of atoms, molecules, and the wavelengths of electromagnetic radiation such as X-rays and gamma rays.
The angstrom is particularly useful when dealing with structures at the atomic and molecular scale, where measurements are often in the range of a few angstroms. For example, the diameter of a hydrogen atom is about 0.1 angstroms, and the bond length between two carbon atoms in a molecule like benzene is approximately 1.4 angstroms.
In the field of atomic and molecular physics, an "atomic unit of length" is a unit of measurement that is used to express distances at the atomic and molecular scale in a dimensionless way. It is part of a system of atomic units (a.u.) that simplifies calculations involving fundamental physical constants and properties of atoms and molecules.
The atomic unit of length (a.u. of length) is defined in terms of the Bohr radius (a₀), which is a fundamental constant in atomic physics. The Bohr radius is approximately 0.52917721067 angstroms (Å) or 5.2917721067 x 10^-11 meters (m).
In atomic units, the Bohr radius is set to exactly 1 a.u. of length. Therefore, when using atomic units, distances are expressed relative to the Bohr radius, and the value of 1 a.u. of length corresponds to the typical size scale of atomic and molecular structures.
The use of atomic units simplifies many quantum mechanical calculations and allows physicists and chemists to work with dimensionless quantities, making it easier to compare and analyze atomic and molecular properties.