Cubit (Greek) to Bohr radius converter

What is cubit (Greek)

The "cubit" (Greek: πῆχυς, pēchys) in ancient Greece was a unit of length used in antiquity for measuring various objects, including architectural dimensions. Like many ancient units of measurement, the length of the Greek cubit could vary over time and by region.

The most commonly referenced Greek cubit is the "common" or "short" cubit, which is believed to have been approximately 45 centimeters (about 17.7 inches) in length. However, there were variations in the length of the cubit in different parts of Greece and during different periods in ancient history.

The Greek cubit was used for measuring building dimensions, as well as in various crafts and trades. It was often based on the length of the forearm from the elbow to the tip of the middle finger, much like other cubits used in different ancient cultures.

It's important to note that the length of the Greek cubit is a matter of historical interpretation and may not be precisely defined due to variations in antiquity.

What is Bohr radius

The Bohr radius, often denoted as "a₀," is a fundamental physical constant in quantum mechanics and atomic physics. It is named after the Danish physicist Niels Bohr, who made significant contributions to our understanding of atomic structure.

The Bohr radius represents the average distance between the nucleus and the electron in the lowest energy state (ground state) of a hydrogen atom, or a hydrogen-like ion with a single electron (e.g., helium ion with only one electron remaining). It is a key parameter in the Bohr model of the hydrogen atom.

The Bohr radius is defined as:

a₀ = (4πε₀ħ²) / (me²),

where:

a₀ is the Bohr radius,
ε₀ is the vacuum permittivity (approximately 8.854 x 10⁻¹² C²/N·m²),
ħ is the reduced Planck constant (approximately 1.054571 x 10⁻³⁴ J·s),
me is the electron mass (approximately 9.109 x 10⁻³¹ kg),
e is the elementary charge (approximately 1.602 x 10⁻¹⁹ C).

When you calculate the Bohr radius using these constants, you get a value of approximately 5.29177210903 x 10⁻¹¹ meters, or about 0.5292 angstroms (Å).

The Bohr radius is a critical parameter in understanding the structure of atoms, particularly hydrogen-like atoms. It provides a basic scale for the size of atomic orbitals and helps in describing the energy levels of electrons in these atoms.

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