observations & instrumentation ii: spectroscopy
TRANSCRIPT
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
1/155
ASTR 3520
Observations & I nstrumentation I I :Spectroscopy
Lecture 1
Introduction
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
2/155
OverviewJohn Bally C323A Duane 492 5786
Office hours: Th after class (2:00 PM)
Wed (2:00 PM)
Adam GinsburgC329 Duane 303 667 3805
Office Hours: Mon, Tues 11:00 AM
or by appointment
Student & Teacher Introductions:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
3/155
Organization Review course structure, content, and Syllabus
Observing Projects: Stellar, nebular spectroscopy,semester projects, labs, homework.
Apache Point Observatory Field Trip:
- 5 - 6 days/ 4 - 5 nights- Covered by Course Fees
- VLA, NSO, APO
- Last week of Oct. (depends on TAC)
Observing Proposals for Semester project due end of Sept.
24 Observing Groups 5 groups / 3 to 4 each.
- Each group must have at last 1 experienced observer
Start spectrograph overview (once-over lightly)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
4/155
Spectroscopy: Astronomy => Astrophysics
Light as a wave phenomenon: = cGeometrical optics => wave opticsDiffraction~ / DInterference:
n= D sin n = 1,2,3, Deep insights into the nature of atoms, molecules:
Discrete wavelengths => Discrete energy levels
Electrons stable only in certain orbits.
Interference of electron waves!
= h / p = h / mv :de Broglie wavesAll matter has wave-like behavior on sufficiently
small scale!
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
5/155
Telescope
Focal Plane
Slit
Spectrograph
Spectrograph
collimator
Dispersing element
camera
detector
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
6/155
SBO Spectrograph overview
Slit & Decker:Restrict incoming light
Spatial direction vs. Spectral direction
Collimator & Camera:
Transfer image of slit onto detector.
Grating:
Disperse light: dispersion => spectral resolution
What determines spectral resolution & coverage?
- Slit-width- Grating properties: Ngroves , order number
- Camera / collimator magnification (focal length ratio)
- Detector pixel size and number of pixels.
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
7/155
Types of Spectroscopy Electromagnetic Waves: Emission, absorption
Visual, near-IR., FIR, Radio, UV/X-ray, gamma-ray
- Solids, liquids, gasses, plasmas- Emission, absorption
- Spectral line, molecular bands, continua:
- Thermal (~LTE, blackbody, grey-body):
- Non-thermal (masers, synchrotron, )- Electronic, vibrational, rotational transitions.
- Effects of B (Zeeman), E ( Stark), motion (Doppler),
pressure (collisions), natural life-time (line widths)
- Radiative Transfer (optical depth)
Other types (not covered in this course):
NMR
Raman
Phosprescence / Fluorecence
Astro-particle
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
8/155
Review of Some Basics c = x Angular resolution: = 1.22 / D radians
206,265 in a radian E = h F = L / 4 pd2 AZ, El, RA, Dec, Ecliptic, Galactic
Siderial time, Hour Angle
G = 6.67 x 10-8(c.g.s)
c = 3 x 1010 cm/sec,
k = 1.38 x 10-16
h = 6.626 x 10-27
mH~ mproton= 1.67 x 10-24gramsme= 0.91 x 10
-27grams
eV = 1.602 x 10-12erg
Luminosity of Sun = 4 x 1033erg/sec
Mass of the Sun= 2 x 10
33
grams
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
9/155
The Physics of EM Radiation
Light: , - = c = 2.998 x 1010cm/s (in vacuum)- E = h Photon energy (erg)
1 erg sec-1= 10-7Watt
h = 6.626 x 10-27 (c.g.s)
1 eV = 1.602 x 10-12erg
- p = E / c = h / Photon momentum- = h / p = h / mv deBroglie wavelength
Planck Function: B(T) Emission, absorption, continua
Discrete energy levels: Hydrogen
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
10/155
Refraction:
Snells Law: n1sin(d1) = n2sin(d2)
d2
d1 n1
n2
n1= refractive index in region 1
n2= refractive index in region 2
n = c / v = vacuum/medium
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
11/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
12/155
Basic Lens formulae:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
13/155
Basic Mirror formulae:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
14/155
Diffraction:
Light spreads as = / dIn the `far field given by L = d2/
d
L
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
15/155
2 slit interference
Constructive Destructive
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
16/155
Anti-reflection coating
2 slit interference
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
17/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
18/155
Multi-layer interference filter:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
19/155
Diffraction grating:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
20/155
Fermats Principle: d(optical path length) = 0
Diffraction grating:
order #
wavelength
groove spacing incidence anglediffraction angle
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
21/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
22/155
CCD Imaging Review
Review CCD basics- How CCDs work
- CCD properties
Dark, flat, and bias frames Image-scales
- focal length, pixel-scale, FOV
Review photometry basics- The magnitude system
- Calibration
- Atmospheric effects; Air mass, color terms
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
23/155
Subaru 8m (Mauna Kea): Suprime Prime Focus CCD Mosaic8192 x 8192 pixels using SITe chips (15 mm pixels)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
24/155
Typical
Raw image
With a CCD
Cosmic rays
Bad pixels
stars
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
25/155
CCDs (Charge-Coupled Device)
Properties
- Quantum efficiency (QE):
=> 90%
- Gain:
G = e- /ADU
- Dark current:1 e-/ hr to 103e-/sec
thermal emission: => Cool to20 to150 C
- Read Noise:
amplifier read-out uncertainty3 e-to 100 e- per read
- Spatial uniformity:
Bad pixels, columns: ~
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
26/155
CCDs
Properties
- Cosmic Rays:
5 to > 103 e-produced by each charged particle
usually effects 1 or few pixels.
non-gaussian charge distribution
(different from stellar image or PSF)- Well depth:
5 x 104to 106 e-
- Pixel size:
6 mm to 30 mm- Array size:512 x 512 to 4096 x 4096
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
27/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
28/155
Dark current:
=> cooling
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
29/155
MOSAIC CCD
On KPNO 0.9m
Vacuum Dewar
LN2(77K)
Controller
Filters & slider
V
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
30/155
Charge Transfer0
510
05
10
510
0
V
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
31/155
Charge Coupled Devices (CCDs)
Output amplifier
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
32/155
Charge Coupled Devices (CCDs)
Output amplifier
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
33/155
Read
Charge Coupled Devices (CCDs)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
34/155
Read
Charge Coupled Devices (CCDs)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
35/155
CCD Corrections/Calibrations
Read noise: bias frames
- 0 second exposure
Dark frames:
- Same duration as science exposure with shutter closed
Flat fields:
- Dome flats- Twilight flats
- Super-sky flats
Standard stars
- At several air-masses
A = sec (z) = 1 / cos(z)
z
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
36/155
CCD Corrections/Calibrations
Types of image combinations:
IRAF task: imarith image1 (+,-,*,/) image2 output
imcombine @list_in output
- Average: 1/N SI(n)- Mode: Most common data value
- Median: Value in middle of rangegood for rejection of outliers (e.g CRs)
Combine (median) 3,5,7,.. An odd #
- bias frames- flat frames
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
37/155
CCD Corrections/Calibrations
Reduction:
I(raw) - median(bias)
I(reduced) =
norm [median(Flat bias)]
Note: Bias can be a Dark if hot pixels /or dark current is
large
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
38/155
Flat Field Examplestar
star
cosmic ray
star
star
cosmic ray
Bias ordark levelRaw science frame
Dark subtracted frame
Hot pixels
i
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
39/155
Flat Field Examplestar
star
cosmic ray
cosmic ray
Flat frame
Fl Fi ld E l
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
40/155
Flat Field Examplecosmic ray
Flat frame
Normalized, dark subtracted, median of > 3 flat frames
1
Fl t Fi ld E lcosmic ray
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
41/155
Flat Field Example
Normalized flat frame
1
star
cosmic ray
Science frame
star star
Reduced science frame
Ph B i
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
42/155
Photometry Basics:
Vega magnitudes:
m() = -2.5 log [F() / FVega()]F() = Counts on source
FVega() = Counts on Vega
A = sec (z) = 1 / cos(z)z
T f S t
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
43/155
Type of Spectra
Continuum:- Blackbody: B(T)- free-free, free-bound
- Non-thermal: Synchrotron radiation
- Compton scattering
Line & Band
E dipole, B diplole, E quadrupole
fine structure, hyperfine structure- electronic transitions
- vibrational transitions
- rotational transition
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
44/155
Types of Spectra:
Nebulae
Stars
Hot,
Opaque
media
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
45/155
The Planck Function: Black-body radiation
Rayleigh-Jeans:
Wien:
B(,T) = (2 p h3/ c2) e-h/kT
B(,T) = 2kT/2
(erg s-1cm-2Hz-1 2 psr-1)
The Planck Function: Black-body radiation
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
46/155
The Planck Function: Black-body radiation
Wien Rayleigh-Jeans
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
47/155
Spectrum of Hydrogen (& H-like ions)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
48/155
Lyman
Balmer
a
b
a
b
Spectrum of Hydrogen (& H-like ions)
Ionization (n to infinity):
E = 13.6 eV
Transitions:
E = h= EuEl
Ionization at
E = 13.6 eV or less than = 912 Angstroms
= R [ 1/nl21 /nu
2]
R = 3.288 x 1015Hz
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
49/155
Bohr model:
Allowed orbits
mvr = nh /2pCoulomb Force:
Ze2/ r2= mv2/r
Thus, (eliminate v)
r = Ze
2
/ mv
2
= n
2
h
2
/ 4 p2 Ze2mEnergy E = - (1/2) Ze2/ r = - 2 p2Z2e4m/ n2h2
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
50/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
51/155
Adam Block: 16 Meade + SBIG ST10E + AO7
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
52/155
The Orion Nebula (M42)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
53/155
O tli & G l
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
54/155
Outline & Goals: Tues, 18 Sept
Summary of Kitt Peak Run &Heildelberg
Review Spectrum of Hydrogen
Spectroscopic `terms & terminology
(Ch 2, 3; HW #2)
Review Transitions (Ch 3): Einstein
A, B. Col l isional and radiativeexcitation
Spectral l ine formation & Radiative
Transfer basics
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
55/155
Bohr model:
Allowed orbits
mvr = nh /2pCoulomb Force:
Ze2/ r2= mv2/r
Thus,
r = Ze2/ mv2 = n2h2/ 4 p2 Ze2mEnergy E = - (1/2) Ze2/ r = - 2 p2Z2e4m/ n2h2
Spectrum of Hydrogen (& H-like ions)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
56/155
Lyman
Balmer
a
b
a
b
Sp y g (& )
Ionization (n to infinity):
E = 13.6 eV
Transitions:
E = h= EuEl
Ionization at
E = 13.6 eV or less than = 912 Angstroms
= R [ 1/nl21 /nu
2]
R = 3.288 x 1015Hz
Ionization cross-section or hydrogen
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
57/155
Wavelength (1 / photon energy)
10-18
-3
Lyman lines
y g
13.6 eV = 912 Angstroms
Balmer lines
Atomic Structure
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
58/155
Atomic Structure
Refinements to Bohr:Elliptical e-orbits
Integral of P in r and = lh l = 0,1,2, ,n-1Relativistic effects => l makes smallcorrection to E-levels
Space quantization: Orientation of orbits
m
Electron spin
Pauli: No 2 e- in same state.
Atomic Structure
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
59/155
Atomic Structure
Atomic quantum numbers:n, l, m, s - completely specify state, E
n = 1, 2, 3, 4 .shell = K L M N .
max ne = 2 8 .
l = 0 1 2 3 4 .
s p d f g .
Selection rules:
Atomic Structure
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
60/155
Atomic Structure Refinements to Bohr: n
Elliptical e-orbits: k
Space quantization: Orientation of orbits
w.r.t. magnetic field: m
Electron spin: s
Pauli: Ferminons:No 2 e- in same state: [n,k,m,s]
Shroedinger Wave function:
n => principle quantum number (radial)
l => orbital angular momentum 0, 1, nm => magnetic sublevels (degenerate if B=0)
s => electron spid +/- 1/2
Atomic Structure
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
61/155
Atomic Structure
Multi-electron atoms/ions
Atomic quantum numbers: s = +/- 1/2n, l, m, s - completely specify state, E
l = 0, 1, , (n-1) m = 0, +/- 1, +/- 2, , +/- l
n = 1, 2, 3, 4 .
shell = K L M N .l = 0 0, 1 0,1,2 0,1,2,3
m = 0 0; -1,0,1 0;-2,-1,0,1,2 0;-3,-2,-1,0,1,2,3
max ne = 2 2+6 = 8 2+8+10 = 20 (s = +/- 1/2)
max l = 0 1 2 3 4
s s,p s,p,d s,p,d,e
Selection rules: Dl = +/- 1
n
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
62/155
n
1
23
4
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
63/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
64/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
65/155
Hydrogen Ha fine structure
Review Transitions (Ch 3): Einstein
A, B. Col l isional and radiative
excitation
Spectral l ine formation & Radiative
Transfer basics
Hydrogen energy levels showing allowed transitions
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
66/155
Hydrogen energy levels showing allowed transitions
Hydrogen energy levels showing fine structure
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
67/155
Hydrogen energy levels showing fine structure
l = 0 l = 1 l = 2
S P D
n=3
n=2
n=1
Ha
Lya
Fine structure const.:a= e2/ hc = 1/137Fine structure:dE / E ~ a4 ~ 5x10-5 eVSpin / orbit (l * s)
1s 2S1/2
2s2S1/2
3s 2S1/2
3p2Po3/2
3p2Po1/2
3d2D5/2
3d2D3/2
2p2Po3/2
2p2Po1/2
2s+1
J=L+S
Hyperfine structure:dE ~ 6x10-6 eVSelection Rules:Dl = 0, +/-1Dj = 0, +/-1even odd
L = [l(l+1)]1/2h/2pS = [s(s+1)]1/2h/2pJ = [J(J+1)]1/2h/2p
Einstein A & B coefficients: radiative processes
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
68/155
Einstein A & B coefficients: radiative processes
Aul Blu BluBul
Aul
Bul
- Spontaneous decay
- Stimulated decay (prop to Flux)- Absrorption (prop to Flux)
u
l
Ionization & Excitation
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
69/155
Ionization & Excitation
Radiation: Rr = sIrad Collisions: Rc = n s
Blu
Aul, Bul Cul
Clu
Rate Equations:
Vthermal~ (3 kT / 2 m)1/2
s= cross section
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
70/155
Guidelines for 24 spectroscopy
Simple Models for Spectrum Formation
emission nebulaeabsorption line features
continuum processes
Theory of Spectrum Formationoptically thin and optically thick spectra
stellar spectra
Spectral Line Formation &
Radiative Transfer
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
71/155
Emission Nebulae
Atoms in nebulae are excited by:
Incident photons
Collisions (high temperature or density) Excited atoms decay, emitting a photon of
the characteristic energy (a spectral line)
If the atoms are ionized, then the nebulawill emit free-bound radiation (i.e. Balmercontinuum) as well as spectral lines
Ionization cross-section or hydrogen
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
72/155
Wavelength (1 / photon energy)
10-18
-3
Lyman lines
13.6 eV = 912 Angstroms
Emission Nebula
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
73/155
Star emits continuum
optically thin nebula:
passes most wavelengths
- light at energy equal to an
atomic transition is absorbed
- that light is then reemitted in a
random direction (some of it
towards the observer)
- the nebula may be optically
thick at these wavelengths
Emission Nebula(photo-excited or photo-ionized)
The only light directed towardsthe observer is that which has
energy equal to the atomic
transitions in the nebula:
an emission spectrum
The Ring Nebula (M57): Planetary Nebula
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
74/155
The Swan Nebula (M17): Emission Nebula
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
75/155
M82Subaru 8-m (Mauna Kea)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
76/155
continuum
Emission line (Ha)
Absorption (dust, NaI, )
emission (stars)
M82UV (Galex)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
77/155
M8221 cm HI (VLA)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
78/155
M82
M81
NGC3077
M82 Ha
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
79/155
M82 radio (6 cm)
M82 X ray
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
80/155
M82 X-ray
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
81/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
82/155
Absorption Features
Continuum light is emitted from a star (or
other source)
Intervening material absorbs light atwavelengths of atomic transitions, exciting
those atoms
Excited atoms reemit light, but in a randomdirection (not towards observer)
Absorption Feature:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
83/155
Star emits continuum
the observer sees all the
wavelengths except those
at the atomic transition energy
an absorption spectrum
- light at energy equal to an atomic
transition is absorbed
- that light is then reemitted in a
random direction
p
QSO Spectrum with IGM Absorption
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
84/155
What Does an Absorption Spectrum Look Like in an Image?
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
85/155
Quasar 3C273 Deneb
p p g
It looks almost identical to the background object!
All the absorption is in a few lines, the continuum
is relatively unchanged.
optically thick nebula:Dark or Reflection Nebula:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
86/155
Star emits continuum
p y
-observer cant see background
object (i.e. star) because light
has been scattered away
- dark nebula
dust scatters light
optically thick nebula:
-observer sees cloud shining in
scattered light (a continuum)
-reflection nebula
Continuum Phenomena:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
87/155
Reflection and Dark Nebulae
Dust scatters incident light
Not a line process, scatterscontinuum
reflection
dark
dark
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
88/155
Basic Radiative Transfer Terms
MFP = mean free path (cm)
au= opacity (cm-1)cross section per unit volume (aka
absorptivity)
MFP = 1/au
tu = optical depth (unitless)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
89/155
Optical Depth
Optical depth measures the attenuation of light
tu= 1 at s= MFP
The light we see from an optically thick source
was emitted at tapproximately 1
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
90/155
Radiative Transfer
T1
t1>> 1
T2
t2
What does the observer see?
-assume that the background
cloud is opaque (t1>> 1)
-assume both clouds are uniform
)1)(()()( 21
t
t
t
= eTBeTBF
This equation has two simple limits
Optically Thin (tu
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
91/155
Optically Thick (tu>> 1)
many scatterings through the cloud
one or fewer scatterings through the cloud on average
)(]1)[()( 21 TBTBF ttt =
contribution from
background cloudcontribution from
foreground cloud
)()( 2TBF t =
since the foreground cloud is optically thick,
all the contribution is from that cloud
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
92/155
Stel lar Spectra:
The spectrum of a star forms in its
atmosphere
The temperature in the atmosphere is
stratified
The emission at any temperature is a
blackbody (for an optically thick source)
The opacity is a function of wavelength
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
93/155
At each wavelength, t=1 corresponds to a
different depth in the atmosphere and thus adifferent temperature
The opacity in a line is much higher than in a
continuum In a line, we see to a very shallow depth in the
atmosphere
The Solar Spectrum (from Kitt Peaks McMath-Pierce Solar Telescope):
296013000 angstroms
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
94/155
g
Based upon the previous image, does
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
95/155
p p g
temperature in the Sun increase or
decrease with height in the atmosphere?
Temperature decreases with heightbecause the lines
(which are formed higher up) are darker than the continuum
and thus are emitted from a cooler region.
This allows us to probe the temperature of the sun as a
function of depth.
Solar Spectrum Trace:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
96/155
notice the different linewidths in different lines
and the strong Calcium H & K lines
Ca K Ca H
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
97/155
Solar L imb Darkening
Sun is brighter in center
than at edges. Why?
S l L i b D k i
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
98/155
At center you see down
to a certain depth at t~1
At edge you only see
down to a shallower
depth (lower
temperature) at t~1
Solar L imb Darkening
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
99/155
Terminology
Surface brightness is synonymous with temperature
The continuum
has a TBof
5,000K
The line has a TB
of 10,000K
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
100/155
Terminology: Radio Astronomy
Radio astronomers often plot spectra as TB
vs
TBis a physical measurementbut only for thermalprocesses (that are
optically thick)
Why is this terminology most appropriatefor radio astronomy?
radio astronomy is well into the R-J tail
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
101/155
Terminology: Radio Astronomy
0.1 m
The CMB
S t
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
102/155
Spectrum
Summary & Goals: Oct 4
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
103/155
Discuss observing proposals
What we covered:Review EM basics, atomic structure basics
I ntro to gratings & spectrographs: Grating equation
Black-bodies. F luxes, exposure time estimation
The H atom & its spectrum
Einstein A & B coeff icients; radiative & coll ision rates
Radiative transfer & spectral l ine formation
To be covered by F ield Trip:
Saha equation: ionization of atoms into successive stages of
ionizationStel lar classif ication basics
Nebula ionization & excitation: the roles of UV
Spectrograph design: optics, matching R, pixels, and seeing
Radio astronomy
Ionization Balance: (Saha formula)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
104/155
Each element has an ionization potential for eachevery electron: Roman numeral is number
of electrons lost + 1
Netural H = HI
Ionized H = HIIMolecular H = H2
HI13.6 eV
HeI24.58 eV, HeII54.416 eVCI - 11.26 eV, CII25.14 eV, CIII47.89 eV, CIV64.49 eV,
CV392 eV, CVI490 eV
OI13.6 eV, OII35.11 eV, OIII54.9 eV
Ca XXI5,469 eV
Ionization stage
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
105/155
Temperature
I II III IV V
R
elativeabun
dance
Saha Formula
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
106/155
Saha Formula
Electron density
Next ionization stage density
Previous ionization stage density
Partition function (# of states)Ionization potential
Stellar Spectra: Temperature,
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
107/155
Stellar Spectra: Temperature,
Ionization state
Dominant features in spectra of stars
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
108/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
109/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
110/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
111/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
112/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
113/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
114/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
115/155
Ionization Balance: Ionized nebulaeHII regions planetary nebulae: UV
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
116/155
HII regions, planetary nebulae: UV
Supernova remnants: shocksIonization produced by:
- UV to X-ray radiation fields:
stars, white dwarves, neutron stars, accreting WDs, NS,
and black holes
- Collisions: Shock heated gas
Recombinations: Electrons re-combine with ions
Stromgren (photo-ionization equilibrium): HII regions
Q = (4 p/3 r3ne2aBQ = Lyman continuumluminosity (~1049photons/sec for O7 star)aB = 2.6 x 10-13 cm3/sec (Recombination coeff. for H at 10,000 K)
Thors helmet:
NGC 2359
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
117/155
NGC 2359
HD 56925
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
118/155
S106 star forming region in Cygnus
(Subaru telescope)
Proto-planetary & Planetary Nebulae
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
119/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
120/155
Orion A:
- Outflows up to
30 l !
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
121/155
30 pc long !
HH 1/2
M42
HH34HH 131
YSOs near massive stars: UV photo-ablation of disks
irradiated jets
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
122/155
d253-535 in M43
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
123/155
HH 46/47
HH 46/47
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
124/155
HST 1997 - 1994
HH 46/47
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
125/155
HST 1997 - 1994
Stromgren radius of an HII region:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
126/155
Lyman continuum luminosity of O, B stars:
O3: L(LyC) = 1.0 x 1050 photons s-1 T = 60,000 KO5: L(LyC) = 4.7 x 1049 photons s-1 T = 48,000 K
O7: L(LyC) = 6.7 x 1048 photons s-1 T = 35,000 K
O9: L(LyC) = 1.7 x 1048 photons s-1 T = 32,000 K
B0: L(LyC) = 4.7 x 1047 photons s-1 T = 30,000 K
B3: L(LyC) = 4.7 x 1045 photons s-1 T = 20,000 K
n = 1000, O5 star:
L(Lyc) ~ n2r3aB => r ~ [L(LyC) / n2aB]
1/3
5.6 x 1018(cm)
1.8 pc
Photo-ionization equilibrium
(in-class exercise)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
127/155
(in-class exercise)
Consider an O7 star that emits 1049Lyman continuum
photons per second which is embedded in a uniform
density cloud with n(H) = 1 cm-3.
- What is the Stromgren radius?
- What is the massthat is ionized?
- How would these answers change ifn(H) = 104cm-3
HII (ionized nebulae) cooled and traced
by trace elements & ions
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
128/155
Many forbidden transitions have DE ~ 2 eV (visible)long life-times, low decay rates (Einstein A coefficients)
Collision rate: Rcoll= nn ~ 102cm-3
s ~ 1015cm2 (for atoms. Depends on v for ions)v ~ (kT / mm)1/2 (sound speed ~ 10 km/s for H
at 10,000 K)R ~ 10-7sec-1 (1 collision every 107sec)
Collision rate ~ decay rate => each ion can radiate
Thousands of times before recombining => bright line
Some common transitions in ionized nebulae:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
129/155
[SII] 6717/6731 A (density tracer)
[NII] 6748/6784 A
Ha 6563 A[OI] 6300/6363 A
[OIII] 5007 A
[OII] 3729/3726 A
Long-slit:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
130/155
Spectrum
of a planetary
nebula
Slitless: No entrance aperture
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
131/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
132/155
Objective prism (slitless) spectra:
Planetary nebula M57 (Ring nebula)
Slitless: No entrance aperture
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
133/155
Slitless: No entrance aperture
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
134/155
Slitless: No entrance aperture
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
135/155
Why `forbidden emission lines are bright
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
136/155
13.6 eV
~2 eV
9.2 eV
Photo-ionization =>
recombination
Ha
Collisional
Excitation
~3/2 kT = 1.3 eV @104K
-3
1.4
Measuring nebular density using [SII] lines
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
137/155
[SII]I(6717/6731)
1.0
0.6
101 102 103 104
Density (cm-3)
O star embedded in semi-infinite wall near edge:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
138/155
n(H)
d
Q = L(LC) = 1050gs-1
O star next to an infinite wall of hydrogen:
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
139/155
d
Q = L(LC) = 1050gs-1
Three problems:Star with a wind spherical cloud star in a pipe
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
140/155
p p p
Ionization Balance: (Saha formula)
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
141/155
Each element has an ionization potential for each
every electron: Roman numeral is number
of electrons lost + 1
Netural H = HI
Ionized H = HIIMolecular H = H2
HI13.6 eV
HeI24.58 eV, HeII54.416 eVCI - 11.26 eV, CII25.14 eV, CIII47.89 eV, CIV64.49 eV,
CV392 eV, CVI490 eV
OI13.6 eV, OII35.11 eV, OIII54.9 eV
Ca XXI5,469 eV
I II III IV V
Ionization stage
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
142/155
Temperature
R
elativeabun
dance
Saha Formula
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
143/155
Electron density
Next ionization stage density
Previous ionization stage density
Partition function (# of states)Ionization potential
Stellar Spectra: Temperature,
Ionization state
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
144/155
Ionization state
Dominant features in spectra of stars
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
145/155
Wolf-Rayet stars:
> 60 Solar mass, post-main sequence
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
146/155
WR 124
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
147/155
2006 APO Field Trip
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
148/155
What to Bring:
- Pack light (like carry-on on an airplane)- Jacket, hat, gloves (prepare for cold near freezing)
- Flashlight
- Cash for food (supermarket + stops during drive)
- Personal items
Where:
- Meet at Circle at NW corner of Benson @ 9:00 AM Monday
30 Oct (be early!)- Need two volunteers with sleeping bags for Mon night
(Socorro)
- Return Friday (3 Nov) in the evening.
2006 APO Field Trip
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
149/155
Itinerary:
- Monday: Drive from Boulder to Socorro, NM (9 - 10 hrs)- Tuesday: Meet Debra Shepherd at NRAO ~ 8:30 AM
Drive to VLA site (1 hr)
Tour VLA
Return to Socorro - have lunch
Drive to APO (4 hrs) & shop for food
Settle in to dorm rooms / houses
Observe till 1:00 AM (If we are late, remote
observers will operate remotely from Boulder)
- Wed: PM tour of NSO (?) + cook dinnerObserve all night
- Thurs: Sleep during day / observe first half
- Friday: Rise at 8:00 AM, drive back (10 - 11 hrs)
Project / Observing Summary
i
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
150/155
Itinerary:
Tues (first half) M17 LBV, Ceph A DIS new high redHyades WDs (Audrey, Ward, Nate)
Wed (whole night) Comet Swan (Corey, Julia, Tedd)
Eyepiece on Moon etc.
Metallicity
QSO outflow (Max)HL/XZ Tau (Alexi, Courtney, Carlee, Beau)
DIS new high red / eyepiece / DIS / SpiCam / eyepiece (dawn):
Orion, NGC1068, Saturnthurs (first half) APOLLO laser
finish projects as needed.
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
151/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
152/155
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
153/155
Atacama Large Millimeter Array:
Sajnantor Chile, ~ 64 12 meter dishes
Baselines: 150 meter to 10 km
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
154/155
Baselines: 150 meter to 10 km
ALMA site: Sajnantor Chile,
Elevation ~ 5,000 meters!
-
8/12/2019 Observations & Instrumentation II: Spectroscopy
155/155