Quantitels are systematic names for coherent units of measure derived directly from the names of the physical quantities they measure, plus the ending -el, which signifies "element", as in the familiar word "pixel" = "picture element". For example, lengthel is the quantitel for a coherent unit of length. When a quantity has multiple synonyms (e.g. "work" and "energy"), it can have multiple synonymous quantitels (e.g. workel and energiel); such synonyms can be used interchangeably.
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Mechanics | ||||||
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Physical Quantity | Quantitel | Abbr | Derivation/Decomposition | SI Analog | Abbr | |
time duration period | timel durationel periodel | tmℓ drnℓ prdℓ | timel | second | s | |
frequency inverse time | frequenciel | fqℓ tmℓ\ drnℓ\ prdℓ\ | timel−1 | hertz second−1 | Hz 1/s | |
acceleration | accelerel | accℓ | lengthel × timel−2 | meter × second−2 | m/s2 | |
velocity speed | velocitel speedel | veℓ spℓ | lengthel × timel−1 accelerel × timel | meter × second−1 | m/s | |
length width breadth height depth | lengthel widthel breadthel heightel depthel | lgℓ wdℓ brdℓ hgtℓ dptℓ | lengthel velocitel × timel | meter | m | |
inverse length lineic density | lengthelic widthelic breadthelic heightelic depthelic | lgℓ\ wdℓ\ brdℓ\ hgtℓ\ dptℓ\ | lengthel−1 | meter−1 | 1/m | |
area | areanel | arℓ | lengthel2 | meter2 | m2 | |
inverse area areic density | areanelic | arℓ\ | areanel−1 | meter−2 | 1/m2 | |
volume | volumel | voℓ | lengthel3 | meter3 | m3 | |
inverse volume volumic density | volumelic | voℓ\ | volumel−1 lengthel−3 | meter−3 | 1/m3 | |
density volumic mass | densitel volumelic·massel | dsℓ | massel × volumel−1 massel × lengthel−3 | kilogram × meter−2 | kg/m3 | |
mass | massel | msℓ | massel densitel × volumel | kilogram | kg | |
inverse mass specific- = massic- | masselic | msℓ\ | massel−1 | kilogram−1 | 1/kg | |
momentum | momentumel (or momel) | mmℓ | massel × velocitel massel × lengthel × timel−1 | kilogram × meter × second−1 | kg·m/s | |
action | actionel | actℓ | momentumel × lengthel massel × lengthel2 × timel−1 | kilogram × meter2 × second−1 | kg·m2/s | |
force weight | forcel weightel | fcℓ wtℓ | massel × accelerel massel × lengthel × timel−2 | newton kilogram × meter × second−2 | N kg·m/s2 | |
energy work heat potential | energiel workel heatel potentialel | ngℓ | forcel × lengthel massel × velocitel2 massel × lengthel2 × timel−2 | joule kilogram × meter2 × second−2 | J kg·m2/s2 | |
influence | influencel | nfℓ | forcel × areanel massel × lengthel3 × timel−2 | kilogram × meter3 × second−2 | kg·m3/s2 | |
power | powerel | pwℓ | energiel × timel−1 massel × lengthel2 × timel−3 | watt kilogram × meter2 × second−3 | W kg·m2/s3 | |
tension | tensionel lengthelic·forcel | tsℓ lgℓ\fcℓ | forcel × lengthel−1 massel × timel−2 | newton/meter kilogram × second−2 | N/m kg/s2 | |
pressure | pressurel areanelic·forcel | psℓ arℓ\fcℓ | forcel × areanel−1 massel × lengthel−1 × timel−2 | pascal kilogram × meter−1 × second−2 | Pa kg/m·s2 | |
intensity | intensitel areanelic·powerel | ntℓ arℓ\pwℓ | powerel × areanel−1 massel × timel−3 | watt/meter2 kilogram × second−3 | W/m2 kg/s3 | |
Angular Mechanics | ||||||
Physical Quantity | Quantitel | Abbr | Derivation/Decomposition | SI Analog | Abbr | |
plane angle | radian | rad | radian lengthel × radiel−1 | radian | rad | |
solid angle | steradian | sr | radian2 areanel × steradiel−1 | steradian | sr | |
radius radiality | radialitel (or radiel) radianic·lengthel | rdℓ rad\lgℓ | lengthel × radian−1 | meter × radian−1 | m/rad | |
inverse radius | radieliccurvature | curvaturel (or curvel) lengthelic·radian | rdcvℓ\ lgℓ\rad | radiel−1 radian × lengthel−1 | radian × meter−1 | rad/m |
steradiussteradiality | steradialitel (or steradiel) steradianic·areanel | sdsrdℓ sr\arℓ | radiel2 areanel × steradian−1 lengthel2 × radian−2 | meter2 × radian−2 meter2 × steradian−1 | m2/sr | |
inverse steradius | steradielicstercurvature | stercurvaturel (or stercurvel) areanelic·steradian | sdscvℓ\ arℓ\sr | steradiel−1 steradian × areanel−1 radian2 × lengthel−2 | meter−2 × radian2 | sr/m2 |
angular displacement | radielic·lengthelcurvel·lengthel angular·lengthel (or anglengthel) radian | rdℓ\cvℓ·lgℓ ∡lgℓ rad | lengthel × radiel−1lengthel × curvel radian | radian | rad | |
angular velocity | radielic·velocitelcurvel·velocitel angular·velocitel rdℓ\(or angvelocitel) | cvℓ·veℓ ∡veℓ | velocitel × radiel−1velocitel × curvel radian × timel−1 | radian × second−1 | rad/s | |
angular acceleration | radielic·accelerelcurvel·accelerel angular·accelerel rdℓ\(or angaccelerel) | cvℓ·accℓ ∡accℓ | accelerel × radiel−1accelerel × curvel radian × timel−2 | radian × second−2 | rad/s2 | |
angular mass moment of inertia | steradiel·massel angular·massel (or angmassel) | sdℓsrdℓ·msℓ ∡msℓ | massel × steradiel massel × radiel2 massel × areanel × steradian−1 massel × lengthel2 × radian−2 | kilogram × meter2 × radian−2 kilogram × meter2 × steradian−1 | kg·m2/rad2 kg·m2/sr | |
angular momentum | radiel·momentumel angular·momentumel (or angmomel) | rdℓ·mmℓ ∡mmℓ | radiel × momentumel actionel × radian−1 massel × lengthel2 × timel−1 × radian−1 | kilogram × meter2 × second−1 × radian−1 | kg·m2/s·rad | |
angular force torque | radiel·forcel angular·forcel | rdℓ·fcℓ ∡fcℓ | radiel × forcel workel × radian−1 massel × lengthel2 × timel−2 × radian−1 | kilogram × meter2 × second−2 × radian−1 newton·meter/radian joule/radian | kg·m2/s2·rad N·m/rad J/rad | |
Thermodynamics | ||||||
Physical Quantity | Quantitel | Abbr | Derivation/Decomposition | SI Analog | Abbr | |
temperature | temperaturel | tmpℓ | heatel × heatabilitel−1 | kelvin | K | |
heat capacity heatability entropy | heatabilitel entropiel | htbℓ ntpℓ | heatel × temperaturel−1 massel × lengthel2 × timel−2 × temperaturel−1 | joule/kelvin kilogram × meter2 × second−2 × kelvin−1 | J/K | |
massic heat capacity massic·heatability massic entropy | masselic·heatabilitel masselic·entropiel | msℓ\htbℓ msℓ\ntpℓ | heatabilitel × massel−1 lengthel2 × timel−2 × temperaturel−1 | joule/kelvin/kilogram meter2 × second−2 × kelvin−1 | J/K/kg m2/s2/K | |
temperature gradient lineic·temperature | lengthelic·temperaturel | lgℓ\tmpℓ | temperaturel × lengthel−1 | kelvin × meter−1 | K/m | |
Electromagnetism | ||||||
Physical Quantity | Quantitel | Abbr | Derivation/Decomposition | SI Analog | Abbr | |
quantity of electricity electric charge | electrel | εtℓ | electrel currentel × timel | coulomb | C | |
quantity of magnetism magnetic pole strength | magnetel | μtℓ | electrel × velocitel electrel × lengthel × timel−1 currentel × lengthel | coulomb × meter × second−1 ampere × meter | C·m/s A·m | |
electric current | currentel | ctℓ | electrel × timel−1 magnetel × lengthel−1 | ampere coulomb × second−1 | A C/s | |
inverse electricity | electrelic | εtℓ\ | electrel−1 | coulomb−1 | 1/C | |
inverse magnetism | magnetelic | μtℓ\ | magnetel−1 | ampere−1 × meter−1 | 1/A·m | |
electrization electric displacement polarization | electrizel areanelic·electrel | εtzℓ arℓ\εtℓ | electrel × areanel−1 electrel × lengthel−2 | coulomb × meter−2 | C/m2 | |
magnetization magnetizing field | magnetizel areanelic·magnetel | μtzℓ arℓ\μtℓ | magnetel × areanel−1 | ampere × meter−1 | A/m | |
electric density | electrodensitel volumelic·electrel | εdsℓ voℓ\εtℓ | electrel × volumel−1 electrel × lengthel−3 | coulomb × meter−3 | C/m3 | |
magnetic density areic current density | magnetodensitel volumelic·magnetel areanelic·currentel | μdsℓ voℓ\μtℓ arℓ\ctℓ | magnetel × volumel−1 currentel × areanel−1 electrel × lengthel−2 × timel−1 | ampere × meter−2 | A/m2 | |
electric·force electric field strength | electrelic·forcel | εtℓ\fcℓ | forcel × electrel−1 electric·potentilalel × lengthel−1 massel × lengthel × timel−2 × electrel−1 | newton × coulomb−1 volt × meter−1 | N/C V/m | |
magnetic·force magnetic flux density | magnetelic·forcel | μtℓ\fcℓ | forcel × magnetel−1 massel × timel−1 × electrel−1 massel × timel−2 × currentel−1 | tesla | T Wb·m2 | |
electric·potential | electrelic·potentialel | εtℓ\ptℓ | potentialel × electrel−1 massel × lengthel2 × timel−2 × electrel−1 | volt | V | |
magnetic·potential | magnetelic·potentialel | μtℓ\ptℓ | potential × magnetel−1 massel × lengthel × timel−1 × electrel−1 massel × lengthel × timel−2 × currentel−1 | newton × ampere−1 | N/A Wb·m | |
electric·influence electric flux | electrelic·influencel | εtℓ\nfℓ | influencel × electrel−1 massel × lengthel3 × timel−2 × electrel−1 | newton × meter2 × coulomb−1 volt × meter | N·m2/C V·m | |
magnetic·influence magnetic flux | magnetelic·influencel | μtℓ\nfℓ | influencel × magnetel−1 massel × lengthel2 × timel−1 × electrel−1 | weber | Wb | |
electric·tension | electrelic·tensionel | εtℓ\tsℓ | tensionel × electrel−1 massel × timel−2 × electrel−1 | newton × meter−1 × coulomb−1 volt × meter−2 | N/m/C V/m2 | |
magnetic·tension | magnetelic·tensionel | μtℓ\tsℓ | tensionel × electrel−1 massel × lengthel−1 × timel−1 × electrel−1 | tesla × meter−1 | T/m | |
electric·pressure | electrelic·pressurel | εtℓ\psℓ | pressurel × electrel−1 massel × lengthel−1 × timel−2 × electrel−1 | pascal × coulomb−1 volt × meter−3 | Pa/C V/m3 | |
magnetic·pressure | magnetelic·pressurel | μtℓ\psℓ | pressurel × magnetel−1 massel × lengthel−2 × timel−1 × electrel−1 | tesla × meter−2 | T/m2 |
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