Mass of Planck

The mass of Planck is, in Physique, a unit of Masse which belongs to the system of the Unités of Planck. It is noted $m_P$ .

Definition

The mass of Planck is defined as being the mass for which the Rayon of Schwarzschild and the Wavelength of Compton are equal to the Length of Planck:

$m_P = \ sqrt {\ frac {\ hbar C} {G}}$ ,

where:

$\ hbar$ is the reduced Constante of Planck
$G$ is the gravitational Constante
$c$ the Speed of light in the vacuum.

In the unit of the IF:

$m_P = 2,176 \ times 10^ {- 8}$ kg,

with a relative Erreur equalizes with 7,5×10^-5.

In physics of the particles, it happens that the reduced mass of Planck is used:

$\ sqrt {\ frac {\ hbar C} {8 \ pi G}} = 4,340 \ times 10^ {- 9}$ kg,

where the term $8 \ pi$ simplifies several equations.

Interpretation

At the difference in the others Units of Planck, the mass of Planck is located at a more familiar Order of magnitude. With 21,76 µg, it corresponds to the mass of an insect such as a chip.

See too

Bonds internal

External bond

'' NIST - been worth CODATA 2002 recommended - Planck farmhouse ''

Simple: Planck farmhouse

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