A "ken" is not a widely recognized unit of measurement in modern systems. However, the term "ken" is more commonly used as a noun or verb in English and has a different meaning.
As a noun, "ken" refers to one's range of sight, perception, or understanding. For example, you might say, "Beyond my ken," to mean something is beyond your understanding or knowledge.
As a verb, "ken" means to understand, perceive, or know. For instance, you might use it in a sentence like, "I cannot ken the complexity of this issue."
In these contexts, "ken" is used to describe one's ability to perceive or comprehend something, rather than a unit of measurement. If you have a specific context in which "ken" is being used as a unit of measurement, please provide more details, and I'll do my best to assist you further.
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.