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 |