© A.W.Marczewski 2002
Reload Adsorption Guide
Notation
in preparation
See also: Adsorption Glossary, Basics and References
A B
C D
E F
G H
I J
K L
M N
O P
Q R
S T
U V
W X
Y Z
- A
-
A
- specific surface area, [m2/g] (see also S), typically ABET or AL (determined by fitting BET or Langmuir isotherm)
-
a, A, ads, Ads
- (true) adsorbed amount, [mol/g], [mol/m2] ("n" is usually recommended)
-
am
- monolayer capacity (see "a") - maximum adsorption in monolayer, [mol/g], [mol/m2]
-
amic
- micropore (adsorption) capacity (see "a") - maximum adsorption in micropores, [mol/g], [mol/m2]
-
ao
- adsorption capacity (see "a") - maximum adsorption - less specific than am or amic, [mol/g], [mol/m2]
-
α
- interaction coefficient in FG (Fowler-Guggenheim) isotherm [-],
- B
-
B
- parameter of DR (Dubinin-Radushkevich) and DA (Dubinin-Astakhov) isotherm equations, [-]
- C
-
c, C
- molar concentration of solute, [mol/dm3]
-
cs, Cs
- molar concentration at saturation, [mol/dm3]
-
C
- adsorption equilibrium constant in BET isotherm equation([1/Pa]; may be dimensionless if relative pressure, x, is used) - the same as K
-
χ(ε)
- differential energy distribution function ([mol/kJ] for energy ε)
-
χ(E)
- differential energy distribution function ([-] for reduced energy E)
- D
-
Δn
- n-dimensional integration space
- E
-
ε
- adsorption energy, [kJ/mol]
-
εij
- energy of adsorption of component "i" replacing desorbed component "j", εij = εi - εj (competitive adsorption) [kJ/mol]
-
E
- reduced adsorption energy, E = ε/RT , [-]
-
Eij
- reduced energy of adsorption of component "i" replacing desorbed component "j", Eij = Ei - Ej (competitive adsorption) [-]
- F
-
ø
- volume fraction (other notation details are the same as for molar fractions, x) [-]
-
F(ε)
- integral (cumulative) energy distribution function, dF/dε ([mol/kJ] for energy ε)
-
F(E)
- integral (cumulative) energy distribution function, dF/dE ([-] for reduced energy E)
- G
- H
- I
- J
- K
-
K
- adsorption equilibrium constant, K = Koexp(ε/RT) (gas: [1/Pa], solute: [dm3/mol]; may be dimensionless if relative pressure or concentration, x, is used)
-
Ki
- adsorption equilibrium constant for i-th component
-
Kij
- adsorption equilibrium constant for the competition of components "i" and "j",
Kij = Ki/Kj
Kij = Ko,ij exp(εij/RT) = Ko,i/Ko,j exp[(εi - εj)/RT]
-
Ko
- pre-exponential (entropic) factor (gas: [1/Pa], solute: [dm3/mol]; may be dimensionless if relative pressure or concentration, x, is used)
-
Kn
- association constant in Kiselev isotherm, [-]
- L
- M
-
m
- heterogeneity parameter (F, GF, LF, Tóth, GL ... isotherm equations; 0 < m ≤ 1 ) [-]
- N
-
n
- heterogeneity parameter (LF, GL isotherm equations; 0 < m ≤ 1 ) [-]
-
n
- parameter of DA (Dubinin-Astakhov) isotherm (DR: n=2, F: n=1; typical DA: 3 or 4) [-]
-
n
- no. of mixture components [-]
-
i(n)
i(n) (in index)
- for i-th component in n-component mixture
-
n (in index)
- n-component vector
-
n
ni
- amount [mol] of species/component "i"
-
ne
nei
- excess adsorption, excess adsorbed amount, [mol/g], [mol/m2]; index "i" - component "i"
- O
- P
-
p, P
- gas/vapor pressure, [Pa], [mmHg]
-
ps, Ps
- vapor pressure at saturation, [Pa], [mmHg]
- Q
- R
-
R
- Universal gas constant, 8.314 [J/mol K]
- S
-
S
- specific surface area, [m2/g] (see also A), typically SBET or SL (determined by fitting BET or Langmuir isotherm)
-
σ
- cross-section area (e.g. 0.162 nm2 for N2)
-
σE
- dispersion of reduced adsorption energy [-]
- T
-
T
- Absolute temperature [K]
-
θ
- relative adsorption, adsorption coverage
θ = adsorption / monolayer capacity
θ = adsorption / adsorption capacity (also for micropores)
- U
- V
-
v
- gas volume
-
V
- adsorbed amount expressed as volume of gas/vapor adsorbate at STP (1013.25hPa, 273K) per adsorbent mass, [cm3/g STP]
-
Vm
- monolayer capacity (determined by fitting the BET eq.) expressed as volume of gas/vapor adsorbate at STP (1013.25hPa, 273K) per adsorbent mass, [cm3/g STP]
-
Vmic
- micropore capacity (determined by t-plot or αs method) expressed as volume of liquid adsorbate per adsorbent mass, [cm3/g]
-
Vmeso
- mesopore capacity (determined by e.g. BJH method) [cm3/g]
-
V0.98
- total pore capacity determined at relative pressure x = 0.98 [cm3/g]
- X
-
x
- molar fraction, [-]
-
xsi(n)
xli(n)
- molar fraction of component "i" in n-component mixture in surface ("s") or bulk ("l") phase, [-]
-
xsi(n)l
xsi(n)t
- molar fraction of component "i" in n-component mixture in surface ("s") phase - for local patch/particular site type (subscript "l") or total - averaged for entire surface phase (subscript "t"), [-]
-
x
- relative vapor pressure, x = p/ps, [-]
relative solute concentration, x = c/cs, [-]
- Y
- Z
-
z(F)
- relative reduced adsorption energy, z(F) = E(F) - Eo (Eo - characteristic reduced energy, e.g. average or minimum reduced energy E);
z(F) is inverse function to the integral (cumulative) energy distribution F(z) = F(E-Eo)
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