Help:Notation Used At CheLabWiki

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…from CheLabWiki, an online resource for chemical-engineering laboratories located at www.chelabwiki.org; Site Revision #377; 4 December 2008.

Contents 1 Roman Lower Case 2 Roman Upper Case 3 Roman Script 4 Greek Lower Case 5 Greek Upper Case 6 Roman Subscripts and Superscripts 7 Greek and Special Subscripts and Superscripts 8 Abbreviations

Roman Lower Case

a	Helmholtz energy, intensive		a	Parameter in cubic equation of state
aki	Number of atoms of element k on a molecule of species i		ai	Activity of component i
b	Parameter in cubic equation of state		bk	Total number of atoms of element k
cp	Isobaric heat capacity, intensive		cv	Isometric heat capacity, intensive
e	Total energy, intensive		f	Generic property, intensive
g	Gravitational acceleration		g	Gibbs energy, intensive
h	Enthalpy, intensive		k	Boltzmann constant
kij	Binary interaction parameter in equation of state		m	Mass of object or system
me	Number of elements		q	Heat, intensive
s	Entropy, intensive		t	Time
u	Internal energy, intensive		v	Volume, intensive
vj	Rate for reaction j		w	Sonic velocity
w	Work, intensive		x	Horizontal distance
xi	Mole fraction of component i		yi	Mole fraction of component i in vapor phase
z	Vertical distance		zi	Overall mole fraction for component i

Roman Upper Case

A	Area		A	Helmholtz energy, extensive
A	Formula matrix		A, B, C	Parameters in models
B	Second virial coefficient		B′	Pressure second virial coefficient
C	Third virial coefficient		Ci	Generic conceptual property
Ci	Distribution coefficient for component i		Cp	Isobaric heat capacity, extensive
Cv	Isometric heat capacity, extensive		C′	Pressure third virial coefficient
E	Total energy, extensive		F	Generic thermodynamic property, extensive
F	Force		F	Rachford-Rice function
G	Gibbs energy, extensive		H	Enthalpy, extensive
H	Henry’s constant		Ki	K-factor for component i
Kj	Equilibrium constant for reaction j		L	Fraction of feed in liquid product
Mi	Generic measurable property		N	Total number of moles
NA	Avogadro’s number		Ni	Number of moles of component i
Np	Number of mass ports to and from a system		P	Absolute pressure
Q	Heat, extensive		R	Gas constant
R	Fraction of material in one of two liquid phases		S	Entropy, extensive
T	Absolute temperature		U	Internal energy, extensive
U, W, V	Matrices in singular value decomposition		V	Volume, extensive
V	Fraction of material in vapor phase		W	Work, extensive
Z	Compressibility factor

Roman Script

	Affinity for reaction j			Number of components; number of species
	Dissipative components of driving forces			Number of independent properties for intensive state
	Number of independent properties for extensive state			Number of independent properties
	Fugacity of component i			Number of molecules
	Pressure to overcome dissipative forces			Number of phases
	Number of independent chemical reactions			Number of internal constraints
	Number of external constraints			Number of orthogonal interactions
	Maximum number of interactions

Greek Lower Case

α	Volume expansivity		αij	Relative volatility
β	Reciprocal thermal energy, b = 1/RT		β	Dimensionless group in equation of state
βij	Selectivity		γ	Ratio of heat capacities
γi	Activity coefficient for component i		γv	Thermal pressure coefficient
δ	Differential driving force		δ	Small amount of path function
δ	Variational operator		δ12	Combination of second virial coefficients
Δλij	Parameters in Wilson model		ε	Tolerance in trial-and-error searches
ζ	Convergence parameter in trial-and-error searches		η	Packing fraction
κs	Adiabatic compressibility		κT	Isothermal compressibility
λ	Integrating factor		λk	Lagrange multiplier
ν	Velocity		νij	Stoichiometric coefficient for species i in reaction j
νj	Vector of stoichiometric coefficients for reaction j		ξj	Extent of reaction j
π	Dummy integration variable corresponding to pressure		ρ	Density, mass or molar
σ	Diameter of hard sphere		σj	Algebraic sum of stoichiometric coefficients in reaction j
τ	Dummy integration variable for temperature		υ	Number of degrees of freedom
φi	Fugacity coefficient of component i		φi	Apparent volume fraction for component i
ψ	Dummy integration variable for intensive volume		ω	Acentric factor

Greek Upper Case

Δ	Delta operator: Δx = x2 – x1		Δ	Net total driving force
Λij	Parameters in Wilson model		Ψ	Dummy integration variable for extensive volume
Ω	Term in Wilson model for activity coefficients

Roman Subscripts and Superscripts

Az	Azeotrope		acc	Accumulation
ad	Adiabatic		B	Boyle
b	Boundary		b	Boiling
c	Configurational		c	Critical
con	Consumption		dev	Deviation
dif	Diffusion		E	Excess property
ext	External to a system		f	Formation property
f	Property of feed stream		gen	Generated
hs	Hard sphere		I	Interface
i	Index over components		ig	Ideal gas
irr	Irreversible		is	Ideal solution
j	Index over reactions		k	Kinetic
k	Index over phases or system parts		l	Liquid
m	Change of property on mixing		m	Melting
mix	Mixture property		o	Standard state property
o	Initial value		p	Potential
R	Reduced by critical property		ref	Reference
res	Residual		rev	Reversible
rxn	Reaction		s	Saturation
s	Solid		sf	Solute free
sh	Shaft		sp	Spinodal
sub	Sublimation		sur	Surroundings
T	Transpose of a matrix or a vector		t	Total
ub	Upper bound		v	Vapor
vap	Vaporization		wf	Workfree

Greek and Special Subscripts and Superscripts

α	Feed stream; bulk phase		β	Discharge stream; bulk phase
σ	Saturation		®	Reference-state property
∞	Infinite dilution		+	Referred to reference-solvent standard state
∗	Referred to solute-free standard state

Abbreviations

cc	Cubic centimeter, cm3		EoS	Equation of state
FFF	Famous fugacity formulae		GGE	Gas-gas equilibrium
LCEP	Lower critical end point		LCST	Lower critical solution temperature
lhs	Left-hand side		LLE	Liquid-liquid equilibrium
LSE	Liquid-solid equilibrium		NRTL	Nonrandom, two-liquid model
rhs	Right-hand side		UCEP	Upper critical end point
UCST	Upper critical solution temperature		VLE	Vapor-liquid equilibrium
VLLE	Vapor-liquid-liquid equilibrium		wrt	With respect to

--Wikiadmin 09:14, 30 May 2007 (PDT)