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LIST OF SYMBOLS

Ac(r) Cloud cross section
Aji Radiative transition rate
a Damping constant
Bij Aborption coefficient
bi Derture coefficient for level i
Cij Collisional excitation rate
C(r) Cumulative covering factor (up to distance r)
c Velocity of light
cs Sound speed
El(r) Cumulative line flux (up to distance r)
Elambda Line profile
E(t) Emission line light curve
Eij Energy separation of levels ij
EW Equivalent width
Fnu Monochromatic continuum flux
fd Drag force
fij Oscillator strength
G Gravitational constant
gff Gaunt factor for free-free transition
gG Gravitational acceleration
gi Statistical weight of level i
grad Radiative acceleration
h Planck's constant
Inu Radiation intensity
J Mean radiation intensity
jc(r) Total cloud emission
k Boltzmann constant
k(tau) Number of scattering factor
k'(tau) Path length increase factor
L Integrated continuum luminosity
L46 Luminosity in 1046 erg s-1
Lnu Monochromatic continuum luminosity
L(t) Continuum light curve
LEdd Eddington luminosity
Mc Mass of a cloud
MBH Mass of the central black hole
M9 MBH / 109 Modot
M dot Accretion rate
mdot Accretion rate in units of L/LEdd
me Electron mass
mp Proton mass
mlambda Magnitude of extinction
N Particle number density
N10 N / 1010 cm-3
Ne Electron density
NHIM Density of the hot inter-cloud medium
Ncol Column density
nc(r) Number of clouds per unit volume at distance r
ni Population of level i
P Pressure
Q(tau) Number of scattering before escape
Rc Radius of a cloud
r Distance of a cloud
rav Emissivity-weighted average radius
rin Inner radius of the emission line region
rout Outer radius of the emission line region
S Source function
TC Compton temperature
Te Electron temperature
Tex Excitation temperature
THIM Temperature of the hot inter-cloud medium
Trad Radiation temperature
tdyn Dynamical time
trec Recombination time
tsc Sound-crossing time
U Ionization parameter
Vc Volume of a cloud
v(r) Cloud velocity at a distance r
vDoppler Doppler velocity
v3000 v/3000 km s-1
Xc Relative continuum opacity
Xl Relative line opacity
Z Nuclear charge
z Redshift
 
alpha Recombination coefficient
alphaT Temperature averaged recombination coefficient
beta Escape probability
betaeff Effective escape probability
gamma Continuum spectral index
epsilonl(r) Line emission (erg s-1 cm-2)
epsilonnu Line emission coefficient
etanu Continuum occupation number
kappanu Line absorption coefficient
kappac Continuum absorption cross section at line center
kappal Line absorption cross section at line center
lambdaij Wavelength of the ij transition
lambda0 Line center wavelength
µ cos theta in a spherical coordinate system
nu Frequency
nu0 Threshold ionization frequency
nubar Mean photon frequency or mean photon energy
nucut Cut-off frequency
Xi (radiation pressure) / (gas pressure) propto U/T
sigmanu Continuum absorption cross section
sigmac Effective Compton cooling cross section
sigmaes Electron scattering cross section
sigmah Effective Compton heating cross section
tau Optical depth
tauin Optical depth to the inner (illuminated) face of the cloud
tauout Optical depth to the outer face of the cloud
Phinu Normalized line profile
Psi(t) Transfer function
Omegaij Effective collision strength
omega 1 / t

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