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Planck- Units || Length | Time | Mass | Temperature | Charge || Area | Volume | Energy || Photons

# Calculator for Planck Units

## Conversion of common physical units into Planck units.

The Planck units form a natural, universal and fundamental system for physical quantities. They were named after Max Planck, the founder of quantum mechanics. These units represent the limits to which we can distinguish cause and effect. Beyond that, our physical laws are no longer applicable. They therefore stand for extreme values, mostly extremely small, sometimes extremely large, often beyond human imagination.

The Planck units can be derived from these natural constants:Symbol | Natural constant | Meaning | Value |
---|---|---|---|

G | Gravitational constant | Strength of gravity | 6.6743*10^{-11} m³/(kg*s²) |

c | Speed of Light | Velocity of massless particles (like photons) in vacuum | 299792458 m/s |

ℎ | Planck constant | Ratio of energy and frequency of a photon | 6.62607015*10^{-34} Js |

ℏ | Reduced Planck constant | Ratio of energy and angular frequency of a photon, ℏ=ℎ/(2π) | 1.054571817*10^{-34} Js |

k_{B} | Boltzmann constant | Ratio of energy and temperature | 1.380649*10^{-23} J/K |

k_{C} | Coulomb constant | Electrostatic ratio | 8.987551787*10^{9} Vm/(As) |

The basic quantities of the Planck units are:

Symbol | Name | Term | Value |
---|---|---|---|

l_{P} | Planck length | √ ℏ G / c³ | 1.616255*10^{-35} m |

t_{P} | Planck time | √ ℏ G / c^{5} | 5.391247^{-44} s |

m_{P} | Planck mass | √ ℏ c / G | 2.176434*10^{-8} kg |

T_{P} | Planck temperature | m_{P} c² / k_{B} | 1.416764*10^{32} K |

q_{P} | Planck charge | √ ℏ c / k_{C} | 1.875545956*10^{-18} C |

Derived quantities of the Planck units are:

Symbol | Name | Term | Value |
---|---|---|---|

l²_{P} | Planck area | ℏ G / c³ | 2.612*10^{-70} m² |

l³_{P} | Planck volume | √ ℏ G / c³ ^{³} | 4.222*10^{-105} m³ |

E_{P} | Planck energy | m_{P} c² | 1.956*10^{9} J |

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