Liquid-State Physical Chemistry: Fundamentals, Modeling, and Applications (2013)
List of Important Symbols and Abbreviations
(X) |
dimension dependent on property, (−) dimensionless property |
Φ |
potential energy (J) |
Ξ |
grand partition function (−) |
Ψ |
wave function (−) |
Ω |
external potential energy (J) |
Λ |
thermal wave length (m) |
α |
constant [X] |
β |
constant (X) |
γ |
activity coefficient (−) |
δ |
solubility parameter (MPa1/2) |
ε |
small scalar (−) |
η |
(bulk) viscosity (Pa·s) |
κ |
inverse Debye length (m−1) |
λ |
parameter (X) |
μ |
dipole moment (C m) |
ν |
frequency (s−1) |
ρ |
number or mass density (m−3 or kg m−3) |
ρ′ |
mass density (kg m−3) |
σ |
(hard sphere) diameter (m) |
τ |
characteristic time (s) |
ϕ |
(pair) potential energy (J) |
χ |
Flory parameter (−) |
ω |
circular frequency (s−1) |
E |
electric field (V m−1) |
F |
force (N) |
Q |
quadrupole moment (C m2) |
e |
unit vector (m) |
f |
force (N) |
p |
generalized momentum (X) |
q |
generalized coordinate (X) |
r |
coordinate (m) |
u |
displacement (m) |
v |
velocity (m s−1) |
x |
coordinate (m) |
A |
area (m2) |
B |
constant (X) |
Bi |
virial coefficients (X) |
C |
constant (X) |
D |
diffusivity (m2 s–1) |
E |
energy (J) |
F |
Helmholtz energy (J) |
G |
Gibbs energy (J) |
H |
enthalpy (J) |
I |
moment of inertia (kg m2) |
K |
equilibrium constant (X) |
L |
length (m) |
N |
number of molecules (particles) |
NA |
Avogadro's number (mol−1) |
P |
pressure (MPa) |
Q |
configuration integral (−) |
R |
gas constant (J K−1 mol−1) |
S |
entropy (J K−1) |
T |
kinetic energy (J) |
U |
(internal) energy (J) |
V |
potential energy (J) |
W |
work (J) |
Z |
canonical partition function (−) |
a |
generalized displacement (X) |
b |
second virial coefficient (m3) |
c |
constant (X) |
e |
unit charge (C) |
f |
(volume) fraction (−) |
g |
specific Gibbs energy (J kg−1) |
j |
flux (s−1 m−2) |
k |
Boltzmann constant (J K−1) |
l |
length (m) |
m |
Mie constant (−) |
n |
Mie constant (−) |
nX |
number of moles of component X |
pi |
probability of state i (−) |
q |
charge (C) |
r |
distance (m) |
s |
specific entropy (J K−1 kg−1) |
t |
time (s) |
u |
(pair) potential energy (J) |
v |
volume (m3) |
w |
regular solution parameter (J) |
xi |
mole fraction of component i (−) |
z |
single particle partition function (−) |
zi |
valency of particle i (−) |
BCC |
body-centered cubic |
CN |
coordination number |
DoF |
degrees of freedom |
DoS |
density of states |
EoS |
equation of state |
FCC |
face-centered cubic |
HCP |
hexagonal close packed |
HNC |
hypernetted chain equation |
HS |
hard-sphere |
MC |
Monte Carlo |
MD |
molecular dynamics |
LJ |
Lennard-Jones |
NRD |
Neutron-ray diffraction |
OZ |
Ornstein–Zernike |
PoCS |
Principle of corresponding states |
PY |
Percus–Yevick equation |
RDF |
radial distribution function |
SC |
simple cubic |
SLS |
Significant liquid structure |
STP |
standard temperature and pressure |
SW |
square well |
XRD |
X-ray diffraction |
YBG |
Yvon–Born–Green equation |
lhs |
left-hand side |
rhs |
right-hand side |
vdW |
van der Waals |
≅ |
approximately equal |
≡ |
identical |
~ |
proportional to |
⇔ |
corresponds with |
|
order of magnitude x |
Superscripts
E |
excess |
∞ |
infinite dilution |
° |
standard |
* |
pure substance |
‡ |
activated complex |
id |
ideal |
Subscripts
f |
formation reaction |
fus |
fusion |
mix |
mixing |
m |
molar |
r |
reaction in general |
sol |
solution |
sub |
sublimation |
trs |
transition |
vap |
vaporization |