Difference between revisions of "Template:Base quantities and count"
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::::: {| class="wikitable" | ::::: {| class="wikitable" | ||
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! | ! Quantity !! Symbol for quantity ''Q'' !! Symbol for dimension !! Name of SI unit !! Symbol for SI unit ''u''<sub>''Q''</sub> [*] | ||
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| length || ''l'' || L || [[meter]] || m | | [[length]] || ''l'' || L || [[meter]] || m | ||
|- | |- | ||
| [[mass]] || ''m'' || M || [[kilogram]] || kg | | [[mass]] || ''m'' || M || [[kilogram]] || kg | ||
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| [[count]] <sup>*,$</sup> || ''N''<sub>''X''</sub> || X || counting-unit || x | | [[count]] <sup>*,$</sup> || ''N''<sub>''X''</sub> || X || counting-unit || x | ||
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| [[ | | [[Entity |unit-entity]] <sup>*,$</sup> || ''U''<sub>''X''</sub> || U || counting-unit || x | ||
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| [[Elementary charge |charge]] <sup>*,€</sup> || ''Q''<sub>''X''</sub> = ''N''<sub>''X''</sub>·''z''<sub>''X''</sub>·''e'' || I·T || coulomb || C = A·s | | [[Elementary charge |charge]] <sup>*,€</sup> || ''Q''<sub>''X''</sub> = ''N''<sub>''X''</sub>·''z''<sub>''X''</sub>·''e'' || I·T || coulomb || C = A·s | ||
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::::: [*] »[[SI base units]], except for the canonical 'counting-unit' [x]. The following footnotes are canonical comments. | ::::: [*] »[[SI base units]], except for the canonical 'counting-unit' [x]. The following footnotes are canonical comments. | ||
::::: <sup>*</sup> For the quantities ''n'', ''N'', ''U'', and ''Q'', the entity-type ''X'' of the unit-entity ''U'' has to be specified in the text and indicated by a subscript: ''n''<sub>O<sub>2</sub></sub>; ''N''<sub>ce</sub>; ''Q''<sub>''X''</sub>. | ::::: <sup>*</sup> For the quantities ''n'', ''N'', ''U'', and ''Q'', the entity-type ''X'' of the unit-entity ''U'' has to be specified in the text and indicated by a subscript: ''n''<sub>O<sub>2</sub></sub>; ''N''<sub>ce</sub>; ''Q''<sub>''X''</sub>. | ||
::::: <sup>§</sup> [[Amount]] ''n''<sub>''X''</sub> is | ::::: <sup>§</sup> [[Amount]] ''n''<sub>''X''</sub> is an elementary quantity, converting the counting-unit [x] into moles [mol] using the [[Avogadro constant]], ''N''<sub>A</sub>. | ||
::::: <sup>$</sup> [[Count]] ''N''<sub>''X''</sub> equals the number of unit-entities ''U''<sub>''X''</sub>. In the SI, the quantity 'count' is explicitly considered as an exception: "Each of the seven base quantities used in the SI is regarded as having its own dimension. .. All other quantities, with the exception of [[count]]s, are derived quantities" ([[Bureau International des Poids et Mesures 2019 The International System of Units (SI)]]). A unit-entity ''U''<sub>''X''</sub> is not a count (''U''<sub>''X''</sub> is not a number of ''U''<sub>''X''</sub>). ''N''<sub>''X''</sub> has the dimension X of a count and ''U''<sub>''X''</sub> has the dimension U of a unit-entity, and both quantities have the same 'counting unit' [x]. | ::::: <sup>$</sup> [[Count]] ''N''<sub>''X''</sub> equals the number of unit-entities ''U''<sub>''X''</sub>. In the SI, the quantity 'count' is explicitly considered as an exception: "Each of the seven base quantities used in the SI is regarded as having its own dimension. .. All other quantities, with the exception of [[count]]s, are derived quantities" ([[Bureau International des Poids et Mesures 2019 The International System of Units (SI)]]). A unit-entity ''U''<sub>''X''</sub> is not a count (''U''<sub>''X''</sub> is not a number of ''U''<sub>''X''</sub>). ''N''<sub>''X''</sub> has the dimension X of a count and ''U''<sub>''X''</sub> has the dimension U of a unit-entity, and both quantities have the same elementary 'counting-unit' [x]. | ||
::::: <sup>€</sup> [[Charge]] is a derived SI quantity | ::::: <sup>€</sup> [[Charge]] is a derived SI quantity. Charge is an elementary quantity, converting the counting-unit [x] into coulombs [C] using the [[elementary charge]], ''e'', or converting moles [mol] into coulombs [C] using the [[Faraday constant]], ''F''. ''z''<sub>''X''</sub> is the charge number of entity ''X'', which is a constant for any defined entity ''X''. ''Q''<sub>''X''</sub> = ''n''<sub>''X''</sub>·''z''<sub>''X''</sub>·''F'' |
Revision as of 11:54, 4 July 2020
Quantity Symbol for quantity Q Symbol for dimension Name of SI unit Symbol for SI unit uQ [*] length l L meter m mass m M kilogram kg time t T second s electric current I I ampere A thermodynamic temperature T Θ kelvin K amount of substance *,§ nX = NX·NA-1 N mole mol count *,$ NX X counting-unit x unit-entity *,$ UX U counting-unit x charge *,€ QX = NX·zX·e I·T coulomb C = A·s luminous intensity Iv J candela cd
- [*] »SI base units, except for the canonical 'counting-unit' [x]. The following footnotes are canonical comments.
- * For the quantities n, N, U, and Q, the entity-type X of the unit-entity U has to be specified in the text and indicated by a subscript: nO2; Nce; QX.
- § Amount nX is an elementary quantity, converting the counting-unit [x] into moles [mol] using the Avogadro constant, NA.
- $ Count NX equals the number of unit-entities UX. In the SI, the quantity 'count' is explicitly considered as an exception: "Each of the seven base quantities used in the SI is regarded as having its own dimension. .. All other quantities, with the exception of counts, are derived quantities" (Bureau International des Poids et Mesures 2019 The International System of Units (SI)). A unit-entity UX is not a count (UX is not a number of UX). NX has the dimension X of a count and UX has the dimension U of a unit-entity, and both quantities have the same elementary 'counting-unit' [x].
- € Charge is a derived SI quantity. Charge is an elementary quantity, converting the counting-unit [x] into coulombs [C] using the elementary charge, e, or converting moles [mol] into coulombs [C] using the Faraday constant, F. zX is the charge number of entity X, which is a constant for any defined entity X. QX = nX·zX·F