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.
The "cubit" is an ancient unit of measurement for length that was historically used in various cultures, including ancient Egypt, Mesopotamia, and the Hebrew Bible. It was typically based on the length of a person's forearm from the elbow to the tip of the middle finger. As a result, the actual length of a cubit could vary from region to region and even from person to person.
In the United Kingdom and other parts of the world where the British imperial system was historically used, a cubit was typically defined as roughly 18 inches or about 45.72 centimeters. This is often referred to as the "British cubit."
However, it's important to note that the cubit is an ancient and non-standardized unit of measurement that has largely fallen out of use in modern times. Today, standardized units such as feet, meters, and inches are used for precise measurements, and the cubit is primarily of historical and cultural interest.