File:Unit relations in the new SI.svg

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Summary

Description
English: Metrological dependencies between the different base units of the SI system of units as agreed to on 16 November 2018. This removed the International Prototype of the Kilogram as the definition. The chart shows the fundamental physical constants used to define the base units:
s - the frequency of the cesium hyperfine transition (ΔvCs) for the second,
m - the speed of light (c) for the metre.
kg - the Planck constant (h) for the kilogram,
A - the elementary electric charge (e) for the ampere,
mol - the Avogadro constant (NA) for the mole,
K - the Boltzmann constant (kB) for the kelvin,
cd - the sensitivity of the human eye (Kcd) for the candela,

An arrow means that is used in the definition of .

Generated from a Mathematica notebook at https://github.com/episanty/SI-unit-relations
.
Note: in the file name, "new SI" means "SI 2019"
Reference normative document
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SI brochure 9 Le Système international d’unités, 9e édition 2019, V3.01 2024-08, BIPM, ISBN 978-92-822-2272-0
Reference paragraph
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p. 18-23 (p.20-25 de 220), §2.3.1 "Unités de base"
Reference language
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  • Two official languages: French[1] / English[1]
  • The French text takes precedence over the English text[2]
Reference citation
InfoField
[...]
  • La seconde, symbole s, [...] est définie [... par] la fréquence du césium, ∆νCs [...] lorsqu’elle est exprimée en Hz, unité égale à s−1.
  • Le mètre, symbole m, [...] est défini [... par la] vitesse de la lumière dans le vide, c [...] lorsqu’elle est exprimée en m s−1 , la seconde étant définie en fonction de ∆νCs.
  • Le kilogramme, symbole k, [...] est défini [... par la] constante de Planck, h [...] exprimée en J s, unité égale à kg m2 s−1, le mètre et la seconde étant définis en fonction de c et ∆νCs .
  • L’ampère, symbole A, [...] est défini [... par la] charge élémentaire, e [...] exprimée en C, unité égale à A s, la seconde étant définie en fonction de ∆νCs.
  • Le kelvin, symbole K, [...] est défini [... par la] constante de Boltzmann, k [...] exprimée en J K−1, unité égale à kg m2 s−2 K−1, le kilogramme, le mètre et la seconde étant définis en fonction de h, c et ∆νCs.
  • La mole, symbole mol, [...] est défini [... par] la constante d’Avogadro, NA, exprimée en mol−1.
  • La candela, symbole cd, [...] est défini [... par] l'efficacité lumineuse [...], Kcd, exprimée en lm W−1, unité égale à cd sr W−1, ou cd sr kg−1 m−2 s 3, le kilogramme, le mètre et la seconde étant définis en fonction de h, c et ∆νCs.

[...]

Note: in the notation of the constant "∆νCs", ν is the letter of the Greek alphabet ν (nu) not the letter of the Latin alphabet v (vee) – as ν (nu) is the symbol for a frequency.
Date
Source Own work
Author Emilio Pisanty
Other versions

Système international d'unités (International System of Units)
SI 2019:

SI 2019 specific:

Système international d'unités (International System of Units)
SI 2006:

Language dependent:
English:

Malay:

Russian (1 of 2):

The diagrams listed below use mixed dependencies, with arrows going into units both from defining constants and from other units.

Russian (2 of 2):

Here, the diagrams listed below more consistently show arrows directly from the defining constants.

Ukrainian:

Also in Ukrainian Wikipedia (png):
SVG development
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Licensing

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  1. ↑ a b see the cover page of the reference document
  2. ↑ BIPM/CIPM (August 2024) [ BIPM/OICM ], ed. Le Système international d’unités (The International System of Units)  SI, 9e édition, BIPM, p. 12 (p.14 of 220) ISBN: 978-92-822-2272-0. "[...] La présente brochure est également disponible en anglais mais c’est le français qui fait autorité [...]"

Captions

Interdependence of the seven SI base units as per their 2019 redefinition

Items portrayed in this file

depicts

SI base unit

inception

27 January 2016

media type

image/svg+xml

File history

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