continuum emission and absorption and emission...
TRANSCRIPT
X-Ray Emission Mechanisms
Continuum emission !and !
absorption and emission lines
Elena Jiménez Bailón IA-UNAM
Ensenada, México
X-Ray Emission Mechanisms
1 Continuum emission
1.1 Thermal emission 1.2 Non-thermal emission
2 Emission Lines in X-rays
3 Absorption Lines in X-rays
outline
PART I
PART I
PART II
PART II
X-rays
Energy range: 0.1-100 Å 1x106 - 1x109 k 0.1-120 keV Highest emission: PKS 2126-150 z=3.7 Lx=5x1047 erg/s Lowest emission: Moon 7x1011 erg/s
VENUS IN X-Rays
Instruments to observe in X-rays
XMM-NEWTON CHANDRA SUZAKU
8
X-Ray EmissionContinuum emission
Fairall 31
X-Ray Emission
Black body emission --> temperatures > 106 k Material is almost completely ionised (no molecules or light atoms) Free-Free or Bremsstrahlung Free-bound or radiative recombination!
Cyclotron and Synchrotron emission Compton and Inverse Compton emission !
Continuum emission
bremsstrahlung
Radiative recombination
compton effectsynchrotron emission
NON THERMALTHERMAL
Continuum EmissionBlack body emission Free-Free or Bremsstrahlung Free-bound or radiative recombination!
NON THERMAL
THERMAL
Compton and Inverse Compton emission !Cyclotron and Synchrotron emission
The electrons are in Maxwell-Bolztman distribution: particles in thermodynamic equilibrium move freely without interacting one with each other, except for very brief collisions in which they exchange energy and momentum Temperatures > 106 k
The electrons distribution is a power law
The system has no temperature
X-Ray Emission
+ An ensemble of charge particles (ions) absorbing incident radiation
+ The absorbed radiation increase the “temperature” of the gas, which in turn radiates
+ The medium is optically thick + The radiation can be obtained through the
radiative transport equation.
Blackbody emission
Assume the perfect absorber: a container with a small hole: when a photon gets in it is difficult that the photon escapes. That’s what we call black body. The gas inside the container is in thermal equilibrium. Black-Body Radiation
If this container is heated, the walls emit photons filling the inside withradiation. Each photon is reabsorbed (the hole being negligible) - this isthermodynamic equilibrium - each physical process is balanced by theinverse. All populations described by Saha-Boltzmann statistics
A container that is completely closed exceptfor a very small hole in one wall. Any lightentering the hole has a very small probabilityof finding its way out again, and willeventually be absorbed by the walls or the gasinside the container: this is a perfect absorber
Of course there is a very small chance that the photon will find the hole again and getout - this probability is related the size of the hole relative to the area of the walls andtheir roughness and reflection coefficient. So it is not truly perfect, but can clearly bemade close enough that we cannot measure the difference. The container, or morespecifically the hole is called a BLACK BODY
THERMAL!
CONTINUUM
X-Ray EmissionBlackbody emission
Kirchhoff Law
A blackbody emission must follow the radiative transfer equation:
where I represents the intensity of the radiation and the j and a, are the emission and absorption coefficients. In thermal equilibrium, the intensity must be constant along the propagation path (or equivalent, along the optical depth (d!):
So, for a blackbody, the radiative transfer equation is:
Where B"(T) is the so-call Planck function and using the absorption and emission coefficients:
Kirchoff’s Lawmatter & radiation in thermal equilibrium:
in equilibrium the intensity must be spatially constant:
and hence:
i.e., if a material absorbs well at some wavelength it will also radiate well at thesame wavelength.
for thermal emission
i.e., source function & intensity are equal, and since
Kirchoff’s law holds for all thermal radiation, but not all thermal radiation isblackbody radiation. Thermal radiation only becomes blackbody radiation foroptically thick media. When this is not the case then andHowever since still holds,
only zero for BB-radiation
Kirchoff’s Lawmatter & radiation in thermal equilibrium:
in equilibrium the intensity must be spatially constant:
and hence:
i.e., if a material absorbs well at some wavelength it will also radiate well at thesame wavelength.
for thermal emission
i.e., source function & intensity are equal, and since
Kirchoff’s law holds for all thermal radiation, but not all thermal radiation isblackbody radiation. Thermal radiation only becomes blackbody radiation foroptically thick media. When this is not the case then andHowever since still holds,
only zero for BB-radiation
Kirchoff’s Lawmatter & radiation in thermal equilibrium:
in equilibrium the intensity must be spatially constant:
and hence:
i.e., if a material absorbs well at some wavelength it will also radiate well at thesame wavelength.
for thermal emission
i.e., source function & intensity are equal, and since
Kirchoff’s law holds for all thermal radiation, but not all thermal radiation isblackbody radiation. Thermal radiation only becomes blackbody radiation foroptically thick media. When this is not the case then andHowever since still holds,
only zero for BB-radiation
Kirchoff’s Lawmatter & radiation in thermal equilibrium:
in equilibrium the intensity must be spatially constant:
and hence:
i.e., if a material absorbs well at some wavelength it will also radiate well at thesame wavelength.
for thermal emission
i.e., source function & intensity are equal, and since
Kirchoff’s law holds for all thermal radiation, but not all thermal radiation isblackbody radiation. Thermal radiation only becomes blackbody radiation foroptically thick media. When this is not the case then andHowever since still holds,
only zero for BB-radiation
Kirchoff Law
Optical Depth & Source FunctionThe RTE takes a particularly simple form if we replace path length, s byoptical depth, !"
In terms of pure absorption:
A medium is said to be optically thick, or opaque when !" integrated along atypical path through the medium > 1
When !" < 1 then the medium is said to be optically thin or transparent
Thus the formal solution of the RTE is:
Radiative Transfer Equation
Intensity is conserved along a ray
Unless there is emission or absorption
With emission coefficient, j! in W m-3 sr-1 Hz-1
and absorption coefficient, "! in m-1
The Equation of Radiative Transfer
THERMAL!
CONTINUUM
X-Ray EmissionBlackbody emission
One of the consequences of the Kirchoff Law is that the intensity of the radiations at a given frequency only depends on the temperature. Therefore the blackbody emits light at all wavelengths with a certain efficiency for each temperature:
BB IntensityAn important property of of I! is that it is independent of the properties of theenclosure and depends only on TEMPERATURE.
B!(T) is called the PLANCK FUNCTION
Any object with a temperature above absolute zero emits light of all wavelengths withvarying degrees of efficiency; an ideal emitter is an object that absorbs all of thelight energy incident upon it and reradiates this energy with a characteristicspectrum. Because it reflects no light it is called a blackbody, and the radiation iscalled Blackbody radiation.
THERMAL!
CONTINUUM
X-Ray EmissionBlackbody emission
22 Fundamentals of Radiatiw T m f e r
X (cm)
- c
L
w nl
c
I N
I N
u ( H z )
I l l l l l l l l i l l l l l l l l 106 104 102 1 10 2 10 4 10 6 10 8 10 10 i0-'2
h(cm)
Figrrre 1.11 Spctrutn of btackbody mdiation at Wrious tempemtams (taken from Kmus, J. D. 1% Radio Astronomy, McCmw-Hill Book Cavy)
so that
2hv3/c2 B'(T)= exp(hv/kT)- 1 '
(1.51)
Equation (1.51) expresses the Planck law.
unit frequency we have If we express the Planck law per unit wavelength interval instead of per
2hc2/~5 exp(hc/AkT)- 1 *
(1.52)
22 Fundamentals of Radiatiw T m f e r
X (cm)
- c
L
w nl
c
I N
I N
u ( H z )
I l l l l l l l l i l l l l l l l l 106 104 102 1 10 2 10 4 10 6 10 8 10 10 i0-'2
h(cm)
Figrrre 1.11 Spctrutn of btackbody mdiation at Wrious tempemtams (taken from Kmus, J. D. 1% Radio Astronomy, McCmw-Hill Book Cavy)
so that
2hv3/c2 B'(T)= exp(hv/kT)- 1 '
(1.51)
Equation (1.51) expresses the Planck law.
unit frequency we have If we express the Planck law per unit wavelength interval instead of per
2hc2/~5 exp(hc/AkT)- 1 *
(1.52)
22 Fundamentals of Radiatiw T m f e r
X (cm)
- c
L
w nl
c
I N
I N
u ( H z )
I l l l l l l l l i l l l l l l l l 106 104 102 1 10 2 10 4 10 6 10 8 10 10 i0-'2
h(cm)
Figrrre 1.11 Spctrutn of btackbody mdiation at Wrious tempemtams (taken from Kmus, J. D. 1% Radio Astronomy, McCmw-Hill Book Cavy)
so that
2hv3/c2 B'(T)= exp(hv/kT)- 1 '
(1.51)
Equation (1.51) expresses the Planck law.
unit frequency we have If we express the Planck law per unit wavelength interval instead of per
2hc2/~5 exp(hc/AkT)- 1 *
(1.52)
For higher temperatures the peak emission of the blackbody goes to higher energies (to the blue) The bolometric intensity of a blackbody is calculated integrating the intensity B, in all frequencies:
Assuming that the particles inside the blackbody are in thermal equilibrium and both photons and particles have the same temperature we can derive the blackbody emission using thermodynamical methods.
ergs s-1cm-2Hz-1steradian-1
ergs s-1cm-2steradian-1
THERMAL
CONTINUUM
X-Ray EmissionBlackbody emission
The Stefan-Boltzmann lawSince temperature and volume are independent quantities for BB:
the soln of which:Integrated planck fn. Is defined by:
The emergent flux from an isotropically emittingsurface (BB) is ! x brightness
STEFAN-BOLTZMANN stefan-boltzmann constant
The bolometric intensity of a blackbody is calculated integrating the intensity B, in all frequencies, and so, the total energy radiated per unit of area and time across all wavelengths is:
THERMAL!
CONTINUUM
X-Ray EmissionBlackbody emission in astrophysics
All hot ˜106 k medium emits as a blackbody: stars, AGN emission, interstellar gas, intracluster gas…
RX1836.5-3754 in X-Rays
Neutron star Chandra Observation
Drake et al. 2002
THERMAL
CONTINUUM
X-Ray Emission
Free-free or bremsstrahlung emission
THERMAL!
CONTINUUM
The radiations is produce by an electron which is accelerated by an electrostatic field of charged particles: ions or nuclei of atoms
When a charge particle is accelerated it radiates (Lamor Law).
The value of the acceleration depends on distance, Z and velocity.
Considering also the density of media: ne and ni
The ionised medium is assume to be in local thermal equilibrium (LTE), with a temperature T and therefore following a Maxwell-Boltzman distribution!
This form of continuum emission is very common in X-ray as the gas which emits in X-rays is composed by a wide range of ionised especies.
X-Ray Emission
Free-free or bremsstrahlung emission
THERMAL!
CONTINUUM
The Coma Cluster
Total Mass 1015 Msol
1000 galaxies
Emits as bremsstrahlung + emission lines
X-Ray Emission
Free-free or bremsstrahlung emission
THERMAL!
CONTINUUM
The gas inside the clusters of Galaxies emits in X-rays via free-free emission:
+ The effective temperature can reach !8 keV (108 k)
+ The density of the gas is very low ne˜104m-3 and therefore is optically thin
X-Ray Emission
Describes the capture of an unbound electrons into a bound level i (into an ion)
The radiated photon has an energy higher than Ei
The emission is proportional to NeN(Z,i+1)Ei-3
In general it is very very weak but gives us an !excellent diagnostic if it can be measure. Could be relevant in Clusters of galaxies, binary systems, AGN…
Radiative recombination or Free-Bound Emission
THERMAL!
CONTINUUM
X-Ray Emission
Electrons moving in the presence of a magnetic field experience a Lorentz force, therefore accelerate and radiate (Lamor Law again)
As the force must be perpendicular to the magnetic field B, the movement of the electron is helicoidal, a combination of:
+ circular motion around the magnetic field with a frequency which depends on the magnetic field wB=qB/#mec
+ uniform motion along the magnetic field (this movement is not accelerated so no radiation is produce)
There are two regimes for this radiation:
+ v<<c non-relativistic velocities cyclotron emission!
+ v˜c relativistic velocities synchrotron emission
Radiation by electrons in a magnetic Field NON-THERMAL!
CONTINUUM
X-Ray Emission
Non-relativistic electrons moving in a magnetic field emit cyclotron radiation The frequency of the circular movement for the non-relativistic approach can be simplify to:
wC=eB/m
In a line of sight perpendicular to the magnetic field B, the acceleration of the electron has a sinusoidal pattern. Therefore, the radiation is polarised at this frequency, with a dipole radiation pattern: two lobes.
The intensity of the radiation depends on square of the acceleration, and this on the velocity and B. In this regime, only in strong magnetic fields the intensity of the radiation is detectable. Also, as the frequency depends also of B, for B=1010-12 G, wC falls in hard X-rays 10-30 keV.
Cyclotron Radiation NON-THERMAL!
CONTINUUM
X-Ray Emission
In hard X-ray neutron star binaries and some isolated, magnetic fields can reach these values. Her X1: In this binary system, the accreting protons are radiating in the presence of a strong magnetic field B˜1012 G
1E 1207.4-5209: In this isolated neutron star, the residuals found in the XMM-Newton spectrum fitted with a thermal emission (blackbody) at 0.7, 1.4, 2.1 (2.8) keV can be explained as cyclotron scattering features.
Cyclotron Radiation NON-THERMAL
CONTINUUM
1E 1207.4-5209 (Bignami et al. 2003)
X-Ray Emission
Relativistic electrons moving in a magnetic field emit synchrotron radiation
wB=2#2qB/me (observer frame)
When v˜c, the relativistic beaming makes the cyclotronic bipolar radiation to be concentrated in a narrow angle in the direction of the movement of the e-.
Synchrotron Radiation NON-THERMAL!
CONTINUUM
X-Ray EmissionSynchrotron Radiation NON-THERMAL
CONTINUUM
X-Ray Emission
The power radiated by an electron with energy E is:
As the processes which produce relativistic electrons in astronomy normally lead to a power law, E-$, and the synchrotron radiation results from the superposition of individual electron spectra, then the radiation spectrum is also a power-law with index b=($-1)/2
Synchrotron Radiation NON-THERMAL!
CONTINUUM
X-Ray EmissionSynchrotron Radiation
!"#$%&'"()* +,#$*-*./)#()*0102%"3%.%-'*24$"% 567685677
9:;:+"#$4)#4$*0<=04>0!?@Tanto la existencia de un disco grueso cerca del SMBH como lapresencia de campos magnéticos están siendo investigados comoposibles causantes de la existencia de jets en los AGN. Los jetsestarían alineados con el eje de rotación del disco y el disco gruesoharía de embudo para material que sería expulsado a velocidadesrelativistas, ayudados y siguiendo la trayectoria impuesta por loscampos magnéticos.
El hecho de que en muchos AGN solo se observa un jet se sueleexplicar con efectos de orientación, ya que si el jet está ligeramentealineado con la visual existen efectos de “relativistic beaming” quehace que el jet apuntando hacia el observador aparezca mucho másbrillante que el otro.Los jets son globalmente neutros, asíque deben estar formados porelectrones/positrones (menosmasivos y más fáciles de acelerar) oelectrones/iones.
NASA
The jets emit synchrotron radiation due to the relativistic velocity por electron-positron pairs and the magnetic field close to the AGN
!"#$%&'"()* +,#$*-*./)#()*0102%"3%.%-'*24$"% 567685677
9:;:+"#$4)#4$*0<=04>0!?@Cuando el material es expulsado en la forma de un jet, su energía esen su mayor parte cinética. Este jet encuentra material del IGM y sefrena, excitando nubes de gas y polvo y produciendo ondas dechoque. Este proceso es muy complicado (debe tener en cuentatambién turbulencias, interacción del campo magnético con elmaterial del IGM, etc…).
Los jets emiten radiación sincrotrón, que debe desacelerar laspartículas. Típicamente las partículas deberían frenarse por completo(haber radiado toda su energía) antes de 10000 yr, por lo que nopuede haber jets muy largos. Pero estos se observan, así que debenexistir mecanismos de aceleración (choques, campos magnéticosperturbados, presión de radiación,…).
MPIfR
MPIfR
NON-THERMAL!
CONTINUUM
X-Ray EmissionSynchrotron Radiation
The radiation de-accelerates particles. Typically the particles would completely de-accelerate after 10 thousand years but we observe very long jets.
Possible mechanisms of acceleration are magnetic fields, radiation pressure and shocks.
NON-THERMAL!
CONTINUUM
M87
X-Ray Emission
Crab Nebula
SNR Filamentary emission due to H and O lines Radio to X-rays emission dominated by synchrotron Central pulsar or neutron star Radio emission is a power law and polarised
Synchrotron Radiation NON-THERMAL
CONTINUUM
Crab Nebula in X-ray, optical, IR and Radio
X-Ray Emission
When a free electron and a photon scatter and the exchange energy. Can be:
+ Direct Compton effect: low energy photon ends with lower energy (when electrons are cooler than photons)
+ Inverse Compton effect: low energy photon ends with higher energy (when electrons are cooler than photons)
Compton effect NON-THERMAL!
CONTINUUM
X-Ray EmissionCompton effect
With at least UV photons boosted by hot electrons can reach X-rays
NON-THERMAL
CONTINUUM
X-Ray EmissionCompton effect
The corona in AGN
The simplest model postulates an accretion disk with two phases, an inner hotter one and an exterior cooler.
The photons from the exterior phase interact with the inner region electrons.
Photons are upper scattered and emitted in X-rays, as a power law.
Cut-off energy producing the Compton Hump!
!"#$%&'"()* +,#$*-*./)#()*0102%"3%.%-'*24$"% 567685677
9:;:+"#$4)#4$*0<=04>0!?@En una región más externa, hasta 105rs (1pc para 108 Mb) habría undisco fino soportado por presión del gas. Esta parte del disco es cadavez más ancha según nos alejamos del SMBH. Como la parte internaes ancha, el disco caliente puede irradiar el disco más externo.
Finalmente la parte más externa se rompería en nubes de gasindividuales (que podrían ir cayendo a zonas más internas al chocarentre ellas).
!"#$%&'"()* +,#$*-*./)#()*0102%"3%.%-'*24$"% 567685677
9:5:;*"-%"0%<"=$>*)(%?*.="0@=0.%"0!AB
Gilli(2007)
Risaliti & Elvis (2004)
NON-THERMAL!
CONTINUUM
X-Ray EmissionCompton effect
The corona in X-ray binaries
X-ray binaries often also emit a power-law spectrum of hard X-rays and even gamma-rays.
Its origin is Compton scattering of softer X-rays and ultraviolett radiation in a tenuous corona of very hot electrons, which may be located on top of (and below) the accretion disk, or in the innermost portions of the accretion flow.
NON-THERMAL!
CONTINUUM
X-Ray Emission Mechanisms II
!Emission and Absorption features
Elena Jiménez Bailón IA-UNAM
Ensenada, México
X-Ray EmissionContinuum Emission
NON-THERMAL
CONTINUUM
Thermal Equilibrium Electron in magnetic fields
Photon-electron up-scattering
Electrons in electric field
Isolated neutron starsX-ray binaries
Supernovae & SNRStellar corona X-ray binariesAGN Clusters of Galaxies
Synchrotron: GRB, Blazars, jets ICE: X-ray binaries, AGN, SN
X-Ray EmissionAbsorption and Emission lines
Bound-bound radiation An electron moves to a lower atomic energy level emitting a photon
Fluorescence
Charge interchange
An ion interacts with an neutral atom exchanging electrons
Absorption features
bound-bound radiation
charge interchange
EMISSION
ABSORPTION
EMISSION
EMISSION
X-Ray EmissionEmission lines
Bound-bound radiation
An electron moves to a lower atomic energy level emitting a photon
The process is the following:
1. Excitation of atoms by: 1. Thermal collision 2. Radiative excitation
2. Radiative de-excitation
The most common of line emission is from collisionally but also from photoionisation
X-Ray EmissionEmission lines
Excitation and Ionisation
When two atoms collide and some of the energy of the collision is transferred to the electron, bumping it to a higher level
X-Ray EmissionEmission lines
Excitation and Ionisation
When two atoms collide and some of the energy of the collision is transferred to the electron, escaping from the atom converting it to an ion
X-Ray EmissionEmission lines
Excitation and Ionisation
When a photon with high energy is absorbed by an atom dissociating it into an ion and an electron
Also photoexcitation !!!
X-Ray EmissionEmission lines
Excitation and Ionisation
An atom emits spontaneously one of its electrons. It can occur when the electrons in outer-shells are excited or when one or more inner-shell electrons are missing (AUGER EFFECT)
X-Ray EmissionEmission lines
Deexcitation
When a deexcitation occurs a photon is emitted.
X-Ray EmissionEmission lines
Recombination
An electron and an ion combine to form an atom emitting a photon
X-Ray Emission
Emission lines
Gabriel & Jordan 1969
Ly series transitions n>=2 —> n=1
X-Ray EmissionEmission lines
Bound-bound radiation
Ly series transition of H-like ionsRatio of line intensities: Energy resolution
a=e2/hc Lines are bright Abundance and gas velocity determination Not good for density and temperature estimation
Ne X @ 107 K
Foster el al. 2012
X-Ray EmissionEmission lines
Binary System Procyon
He series transitions
n=2 —> n=1
X-Ray EmissionEmission lines
He-like series transition
Sensitive to temperature and density
Foster et al. 2012
It was firstly wide use in solar plasma Now in collosionally (stellar corona) and photo ionised (X-ray binaries, AGN)
X-Ray EmissionEmission lines
More complex ions…
Virtually impossible!
X-Ray EmissionEmission lines
In summary…
X-Ray EmissionEmission lines
How do we identify emission lines?
By matching the observed line with the expected line (theoretical or laboratory determination)
Problems:
Unless the analysis is done line by line taking into account wavelength errors is a nightmare Not all wavelengths are known
Accuracy of 1% not always enough:
v/c=Dl/l —> v=0.01c= 1000km/s
Use APEC instead of MEKAL if you need accuracy
X-Ray EmissionEmission lines
How do we identify emission lines?
X-Ray EmissionEmission lines
How do we identify emission lines?
ATOMDB Chianti SPEX
X-Ray EmissionEmission lines
Grating spectrum of the Seyfert 2 galaxy NGC1068
Collisional plasma H-like and He-like transitions of carbon to silicon Fe L-shell emission lines narrow RRC hints of photoexcitacion
+ Study of the Chemistry of clusters
+ 70% ends as colapse stars + 30% as SNR, mainly SN Ia
Werner et al. 2007 de Plaa et al. 2006
Galaxy clusters
37
Origin Of Elements In Galaxy Clusters Origin Of Elements In Galaxy Clusters
• Abundances – 30% of the supernovae in these clusters
were exploding white dwarfs (Type Ia’)– 70% were collapsing stars at the end of
their lives (core collapse)
Sersic 159-03 2A 0335+096
N. Werner, et al. ,
2006, A&A 446, 475;
J. de Plaa, et al.
2006, A&A 452, 397
& 2007, A&A 465,
345
37
Origin Of Elements In Galaxy Clusters Origin Of Elements In Galaxy Clusters
• Abundances – 30% of the supernovae in these clusters
were exploding white dwarfs (Type Ia’)– 70% were collapsing stars at the end of
their lives (core collapse)
Sersic 159-03 2A 0335+096
N. Werner, et al. ,
2006, A&A 446, 475;
J. de Plaa, et al.
2006, A&A 452, 397
& 2007, A&A 465,
345
X-Ray Emission
X-Ray Emission
Fluorescence
Absorption of an incident photon which excites an atom and follow by the transfer of an outer shell electron down to the vacant level, emitting a photon with an E equal to the difference of the two levels.
Emission lines
X-Ray EmissionAbsorption and Emission lines
Fluorescence
Absorption of an incident photon which excites an atom and follow by the transfer of an outer shell electron down to the vacant level, emitting a photon with an E equal to the difference of the two levels.
There are only certain ways in which the electron drops to a lower energy level:
K-alpha —> from L shell to K shell K-beta —> from M shell to K shell M-alpha —> from M shell to L shell
X-Ray Emission
Fluorescence emission lines in the Moon
Emission lines
X-Ray Emission
Iron line in AGN
Emission lines
The fluorescence emission is in general weak, but the intensity yield with Z4, so it is appreciable for high-Z elements
X-Ray EmissionEmission lines
The iron Ka fluorescence emission line
La línea de Fe¿Dónde y cómo se origina?
0.5 1 1.5
Line profile
Gravitational redshiftGeneral relativity
Transverse Doppler shift
Beaming
Special relativity
Newtonian
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El hecho de que este originándose en un disco que está girando hace que se generen dos picos de emisión, corridos uno al azul otro al rojo.
La relatividad especial, que debe aplicarse debido al hecho de que el material se esta moviendo a grandes velocidades, hace que el pico azul sufra un aumento frente al pico rojo.
La relatividad general hace que el perfil de la línea se ensanche y se corra hacia el rojo, por el llamado efecto Doppler transversal (el material que se mueve a gran velocidad se retarda) y corrimiento al rojo gravitacional (el material cerca del influjo de un intenso potencial gravitatorio se retrasa).
La línea de Fe¿Dónde y cómo se origina?
El ángulo de inclinación con el que vemos el disco tiene el efecto
de mover el pico azul mayores energías según aumenta el ángulo.
31
!"#$%&'()*&*+(,,(#)&-"#+&("#)&./ $)%&0&,1*''&
2"$),(2(#),&()&21*&$32(4*&5$'$67&89&:;:;/<=>
• )$""#?&'()*&@*7-*"2&8&
Î A"#$%&'()*,&-"#+&("#)&./ $)%&0&,1*''&
31$"$32*"(B*%&A7C
– line ration (photons) 1:20– 1.3 – 400 rg– emissivity index 4– a > 0.98
Î D"*EF*)37/%*G*)%*)2&'$5,&A*2?**)&
21*&:HI/8/J*K&$)%&8/</J*4&A$)%
Î Negative lag for f> 6 x 10-4 HzÎ Power law changes before refection
• LHMH&D$A($)N&O::=N&P$2F"*&<>=N&><:
1H 0707-495
AGN and X-ray binaries Narrow 200 keV in BLR, NLR or inner disk Broad due to relativistic effects
Relativistic Iron Line
Resultados
+ 10% of AGN present broad Fe line
+ In a flux limited sample: 36% of AGN present broad Fe line
+ All detections are produce for L< 1044 erg/s
+ No difference for Sy and QSO
+ Mean inclination is 28±5 deg
+ No spin determination
12 Guainazzi et al.: The ultimate driver of relativistic effects in AGN
0.01
0.1
Cts
/s/k
eV
NGC4507
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
Cts
/s/k
eV
Mrk348
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
Cts
/s/k
eV
NGC4388
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
Cts
/s/k
eV
Markarian6
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
Cts
/s/k
eV
NGC2110
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
10−3
0.01
0.1
Cts
/s/k
eV
NGC5252
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
Cts
/s/k
eV
NGC7172
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
Cts
/s/k
eV
0241+622
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.1
1
Cts
/s/k
eV
NGC5506
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
1
Cts
/s/k
eV
NGC4151
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
1
Cts
/s/k
eV
NVSSJ173728−290802
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
Cts
/s/k
eV
NGC526A
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
0.01
0.1
1
Cts
/s/k
eV
MCG−5−23−16
105−4−2
024
Res
idua
ls (S
t.Dev
.)
Energy (keV)
Fig. 9. Spectra (upper panels) and residuals in units of standard deviations (lower panels) when the best-fit models asin Tab. 3 are applied to the GREDOS sample.
X-Ray Emission
Núcleos Galácticos Activos
NGC3516: Apart form the 6.4 keV line, a 6.1 keV line is detected varying its energy within the observation from 5.7 to 6.5 keV. A “hot spot” co-rotating in the disk at a distance from 3.5 to 8 rg Iwasawa et al. 2005
Elusive Fe lines
34
Flux And Energy Modulation Of Iron Flux And Energy Modulation Of Iron
Emission In NGC 3516Emission In NGC 3516
• K. Iwasawa, G. Miniutti, A.C. Fabian, 2004, MNRAS 355, 1073
“Co-rotating” flare at a (3.5-8) rSch
• Mass of the BH: (1-5) × 107Mo
34
Flux And Energy Modulation Of Iron Flux And Energy Modulation Of Iron
Emission In NGC 3516Emission In NGC 3516
• K. Iwasawa, G. Miniutti, A.C. Fabian, 2004, MNRAS 355, 1073
“Co-rotating” flare at a (3.5-8) rSch
• Mass of the BH: (1-5) × 107Mo
X-Ray Emission
Charge interchange
An ion interacts with an neutral atom (H or He) picking up an electron in a excited state. The electron decays and emits a photon.
We need neutral atoms coexisting with ions (an X-ray gas)
The solar wind has plenty of highly ionised carbon and oxygen. The neutral atoms of Hydrogen are in the solar system (a comet) !
C/1999 S4 charge exchange from solar wind
Emission lines
X-Ray Emission
Absorption features
Absorption of a photon of a certain energy that excites or ionised the atom
Close related to photoionisation
It is used to calculate abundance, density, and velocity
Probability of an absorption process
RRC
X-Ray Emission
Absorption lines
LMC X3 (Wang et al 2005; Yao et al. 2008 & 2009)
The high resolution spectrographs allow to study the absorption lines in K and L band of several elements. The more abundant are Oxygen and Neon Diagnosis of abundance, temperature, gas velocity…
Detected in AGN, interestella gas…
Mrk 421
����������
•!One line (e.g., OVII K!) ! velocity centroid and EW ! constraints on the column density, assuming b and T •!Two lines of different ionization states (OVII and OVIII K!) ! T •!Two lines of the same state (K! and K") ! b •!Lines from different species ! abundance fa •!Joint-fit of absorption and emission data --> pathlength and density •!Multiple sightlines --> differential hot gas properties
Spectroscopic diagnostics
X-Ray Emission
Absorption features
X-Ray EmissionUTA (Unresolved Transition Array)
X-Ray EmissionContinuum Emission
NON-THERMAL
CONTINUUM
Thermal Equilibrium Electron in magnetic fields
Photon-electron up-scattering
Electrons in electric field
Isolated neutron starsX-ray binaries
Supernovae & SNRStellar corona X-ray binariesAGN Clusters of Galaxies
Synchrotron: GRB, Blazars, jets ICE: X-ray binaries, AGN, SN
X-Ray Emission
Emission and Absorption features
Emission lines —> Information of temperature, abundance, density of medium, velocity Collisional Photoionased Fluorescence
Absorption Features —> Information about abundance, density, velocity