List of Important Symbols and Abbreviations - Liquid-State Physical Chemistry: Fundamentals, Modeling, and Applications (2013)

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)
grand potential (J)

Λ

thermal wave length (m)

α

constant [X]
activity coefficient [−]
thermal expansion coefficient (K−1)
polarizability (C2 m2 J−1)

β

constant (X)
1/kT (J−1)
activity coefficient (−)

γ

activity coefficient (−)

δ

solubility parameter (MPa1/2)
Dirac delta function (−)

ε

small scalar (−)
energy (J)

η

(bulk) viscosity (Pa·s)

κ

inverse Debye length (m−1)
compressibility (m2 N−1)

λ

parameter (X)
wave length (m)

μ

dipole moment (C m)

ν

frequency (s−1)

ρ

number or mass density (m−3 or kg m−3)
radius of curvature (m)

ρ

mass density (kg m−3)

σ

(hard sphere) diameter (m)

τ

characteristic time (s)

ϕ

(pair) potential energy (J)
electrical potential (V m−1)
volume fraction (−)

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)
generalized force (X)
constant (X)

B

constant (X)

Bi

virial coefficients (X)

C

constant (X)

D

diffusivity (m2 s–1)

E

energy (J)
electric field (V m−1)

F

Helmholtz energy (J)
force (N)
Faraday constant (C mol−1)

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)
probability (−)
polarization (m3)

Q

configuration integral (−)

R

gas constant (J K−1 mol−1)
radius (m)
distance (m)

S

entropy (J K−1)

T

kinetic energy (J)
temperature (K)

U

(internal) energy (J)

V

potential energy (J)
volume (m3)

W

work (J)

Z

canonical partition function (−)

a

generalized displacement (X)
constant (X)

b

second virial coefficient (m3)
constant (X)

c

constant (X)
inverse spring constant (compliance) (m N−1)

e

unit charge (C)

f

(volume) fraction (−)
specific Helmholtz energy (J kg−1)
force (N)
spring constant (N m−1)
rate constant (X)

g

specific Gibbs energy (J kg−1)
density of states (J−1)

j

flux (s−1 m−2)

k

Boltzmann constant (J K−1)
spring constant (N−1)
rate constant (X)

l

length (m)

m

Mie constant (−)
mass (kg)

n

Mie constant (−)
material constant (X)

nX

number of moles of component X

pi

probability of state i (−)

q

charge (C)

r

distance (m)
rate (X)

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 (−)
coordination number (−)

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

flast02-math-5001(x)

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