Convert Twip (twip) to Bohr Radius (a₀) instantly.
About these units
Twip (twip)
A twip is a twentieth of a point, equal to 1/1440 of an inch. This extremely small unit originated in computer typography, particularly in early word processors and GUI layout systems developed by Microsoft and Apple. Because digital screens and software-based layout engines require highly precise internal measurements, twips allowed consistent and resolution-independent positioning of graphical objects and text. Even when the actual pixel density of displays varied, twips provided a device-agnostic coordinate system. Twips remain particularly relevant in Microsoft technologies such as Visual Basic, Windows API interfaces, and the formatting of Office documents. Although ordinary users rarely encounter the term, twips form part of the invisible numerical infrastructure that ensures consistent layout across different computers, printers, and operating systems.
Bohr Radius (a₀)
The Bohr radius, equal to approximately 5.29177 × 10⁻¹¹ meters, is the most probable distance between the electron and nucleus in the ground state of hydrogen according to the Bohr model. While modern quantum mechanics has evolved far beyond the Bohr model, the radius remains a remarkably accurate approximation for average atomic dimensions. The Bohr radius acts as a natural "yardstick" for the size of atoms and is frequently used in atomic physics and quantum chemistry. Many atomic properties — orbital sizes, electron probability distributions, and energy levels — are conveniently expressed in multiples of the Bohr radius. Because it reflects fundamental constants, including Planck's constant and the electron charge, the Bohr radius also appears in theoretical analyses of physical systems and helps unify atomic physics concepts across different contexts.