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.

Quantitels are generic and can be used across potentially many metrologies. When unmarked, a quantitel can be used to speak abstractly about the notion of coherent units. For instance, one may ask the question, "What is the lengthel for SI?" The answer, of course, is the meter. One can say, "The centimeter is an auxiliary unit in SI, but it was the lengthel for CGS." But if a quantitel is marked, or "branded", with some disambiguating adjective or prefix, it can be used to name the coherent unit of a particular metrology.

This metrology is named "Primel" because it is the first (i.e., prime) system to use quantitels for its coherent unit names. "Primel" can be used as its brand-marker (e.g. Primel lengthel). The die-face-1 character (⚀) serves as an abbreviation for this prefix, marking every Primel unit as such (e.g. ⚀lengthel). It may be pronounced "prime" or "Primel" as needed, or optionally left silent in a context where Primel is the only metrology being discussed that uses quantitels.

Table of Quantitels

MECHANICS Physical Quantity	Quantitel	Abbr	Derivation/Decomposition	SI Analog	Abbr

MECHANICS 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 timelic durationelic periodelic	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	vcℓ 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
reciprocal 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
reciprocal area areic density	areanelic	arℓ\	areanel⁻¹ lengthel⁻²	meter⁻²	1/m²
volume	volumel	vmℓ	lengthel³	meter³	m³
reciprocal volume volumic density	volumelic	vmℓ\	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
reciprocal 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 wkℓ htℓ ptℓ	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

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
radiality	radialitel (or radiel) radianic·lengthel	rdℓ rad\lgℓ	lengthel × radian⁻¹	meter × radian⁻¹	m/rad
curvature	curvaturel (or curvel) lengthelic·radian	cvℓ lgℓ\rad	radiel⁻¹ radian × lengthel⁻¹	radian × meter⁻¹	rad/m
steradiality squaradiality	steradialitel (or steradiel) steradianic·areanel	srdℓ sr\arℓ	radiel² areanel × steradian⁻¹ lengthel² × radian⁻²	meter² × radian⁻² meter² × steradian⁻¹	m²/sr
stercurvature squarecurvature	stercurvaturel (or stercurvel) areanelic·steradian	scvℓ arℓ\sr	steradiel⁻¹ steradian × areanel⁻¹ radian² × lengthel⁻²	meter⁻² × radian²	sr/m²
angular displacement	curvel·lengthel angular·lengthel (or anglengthel) radian	cvℓ·lgℓ ∡lgℓ rad	lengthel × curvel radian	radian	rad
angular velocity	curvel·velocitel angular·velocitel (or angvelocitel)	cvℓ·veℓ ∡veℓ	velocitel × curvel radian × timel⁻¹	radian × second⁻¹	rad/s
angular acceleration	curvel·accelerel angular·accelerel (or angaccelerel)	cvℓ·accℓ ∡accℓ	accelerel × curvel radian × timel⁻²	radian × second⁻²	rad/s²
angular mass moment of inertia	steradiel·massel angular·massel (or angmassel)	srdℓ·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

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

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
electric current change electric alternation	alternationel	altℓ	currentel × timel⁻¹ electrel × timel⁻²	ampere × second⁻¹ coulomb × second⁻²	A/s C/s²
reciprocal electricity	electrelic	εtℓ\	electrel⁻¹	coulomb⁻¹	1/C
reciprocal magnetism	magnetelic	μtℓ\	magnetel⁻¹ electrel⁻¹ × lengthel⁻¹ × timel	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 magnetel × lengthel⁻² currentel × lengthel⁻¹ electrel× lengthel⁻¹ × timel⁻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 weber × meter²	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 weber × meter	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
resistance reactance impedance	resistancel reactancel impedancel	rstℓ rctℓ impℓ	electromagnetelic·influencel influencel × electrel⁻¹× magnetel⁻¹ massel × lengthel² × timel⁻¹× electrel⁻²	ohm	Ω
conductance susceptance admittance	conductancel susceptancel admittancel	cdcℓ scpℓ admℓ	influencelic·electromagnetel influencel⁻¹ × electrel× magnetel massel⁻¹ × lengthel⁻² × timel× electrel²	siemens	S
resistivity	resistivitel	rsvℓ	resistancel × lengthel massel × lengthel³ × timel⁻¹ × electrel⁻²	ohm × meter	Ω·m
conductivity	conductivitel	cdvℓ	conductancel × lengthel⁻¹ massel⁻¹ × lengthel⁻³ × timel × electrel²	siemens × meter⁻¹	S/m
elastance reciprocal capacitance	elastancel	escℓ	squarelectrelic·potentialel energel × electrel⁻² massel × lengthel² × timel⁻² × electrel⁻²	farad⁻¹	1/F
capacitance	capacitancel	cpcℓ	potentialelic·squarelectrel energel⁻¹ × electrel² massel⁻¹ × lengthel⁻² × timel² × electrel²	farad	F
elastivity reciprocal permittivity	elastivitel	esvℓ	squarelectrelic·influencel elastancel × lengthel influencel × electrel⁻² massel × lengthel³ × timel⁻² × electrel⁻²	meter × farad⁻¹	m/F
capacitivity permittivity	capacitivitel	cpvℓ	influencelic·squarelectrel capacitancel × lengthel⁻¹ influencel⁻¹ × electrel² massel⁻¹× lengthel⁻³ × timel² × electrel²	farad × meter⁻¹	F/m
inductance	inductancel	ndcℓ	alternationelic·electrelic·potentialel squarecurrentelic·potentialel massel × lengthel² × electrel⁻² massel × lengthel² × timel⁻² × currentel⁻²	henry	H
reluctance reciprocal inductance	reluctancel	rlcℓ	potentialelic·electrel·alternationel potentialelic·squarecurrentel massel⁻¹× lengthel⁻² × electrel² massel⁻¹ × lengthel⁻² × timel² × currentel²	henry⁻¹	1/H
inductivity permeability	inductivitel	ndvℓ	squaremagnetelic·influencel inductance × lengthel⁻¹ massel × lengthel × electrel⁻²	henry × meter⁻¹	H/m
reluctivity reciprocal permeability	reluctivitel	rlvℓ	influencelic·squaremagnetel reluctance × lengthel massel⁻¹ × lengthel⁻¹ × electrel²	meter × henry⁻¹	m/H

Primel Metrology

Quantitels

Table of Quantitels

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