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.
A "point" (abbreviated as "pt") is a unit of measurement commonly used in typography and desktop publishing to specify the size of text, fonts, and other elements on a printed or digital page. The point is part of a system of measurement used in the field of typesetting, which involves arranging and designing text for printed materials.
In the point system:
1 point (abbreviated as "pt") is equal to approximately 1/72nd of an inch. This means that there are approximately 72 points in 1 inch.
Points are used to define the size of fonts, leading (line spacing), and other layout details in printed materials. For example, when you specify a font size of 12 points, you are indicating that the height of the characters in that font will be roughly 1/6th of an inch or about 4.23 millimeters.
Points are still widely used in the design and printing industry, especially when specifying font sizes, line spacing, and other layout details for printed materials like books, magazines, and newspapers. In digital design and modern desktop publishing software, you can often switch between using points and other units like picas, inches, millimeters, or pixels to set and adjust the layout of text and graphic elements.