Lab 8
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Course
110L
Subject
Astronomy
Date
Dec 6, 2023
Type
Pages
8
Uploaded by AgentToadMaster997
1
Name:__________________________________________
Date:_________________
PHYS 110L Lab # 8
Sloan Digital Sky Survey Stellar Spectra Lab
1
Instructions:
Please read
carefully
and follow the steps described below and answer
all
questions. If confused, please ask your instructor for help.
Part #1 Introduction
Classification lies at the foundation of nearly every science. Scientists develop classification
systems based on the patterns they see. Classifying stellar spectra was a key step for astronomers
in discovering how stars work. Thus, in astronomy as well as other sciences, the seemingly
ordinary step of classifying things eventually yields critical insights into our world.
Useful Definitions:
•
Absorption line
‒
A
“
valley
”
that appears in a spectrum due to light being absorbed by
energy level transitions in atoms
•
Angstrom
‒
A unit of length measurement used for spectral wavelengths; one Angstrom
is one ten-billionth of a meter (1 Å = 10
−
10
m)
•
Balmer series
‒
The series of absorption lines resulting from transitions from low to high
energy starting at the second energy level (
n
=2) in the hydrogen atom
•
Continuum
‒
The smooth curve of a spectrum
•
Continuum peak wavelength
‒
The wavelength at which the spectral continuum is
greatest; it appears as the top of a broad hill in the spectrum
•
Emission line
‒
A
“
peak
”
that appears in a spectrum due to light being emitted from high
to low energy level transitions in atoms
1
Modified from Sloan Digital Sky Survey III,
http://skyserver.sdss.org/dr10/en/proj/teachers/basic/spectraltypes/lesson.aspx
Learning Objectives:
In this lab assignment you will conduct a series of inquiries to identify key features of spectra,
including the continuum peak and absorption lines. You will also explore how atomic energy
level transitions explain spectral absorption lines.
2
•
Energy level
‒
An amount of energy that an electron can have in an atom
•
Hydrogen alpha (Hα) line ‒
An absorption line associated with the transition from the
second energy level (
n
=2) to the third energy level (
n
=3) in the hydrogen atom
•
Noise
‒
Random variations in a spectrum that are not associated with the continuum or
emission or absorption lines
•
Spectrum
‒
A graph of the amount of light given off by an object at different wavelengths
•
Thermal radiation
‒
Radiation given off by hot objects, such as stars
Part #2 Spectra of Stars
A spectrum (the plural is spectra) is a graph of the amount of light something gives off (how
bright the object is) at different wavelengths. In analyzing the spectra of stars, we frequently do
not know the distances to the stars, so a star
’
s spectrum shows how bright it appears from Earth.
The Sloan Digital Sky Survey (SDSS) measures wavelength in units of Angstroms (symbol Å), 1
Angstrom = 10
−
10
meters. The wavelengths of SDSS spectra go from around 4000 Å (just into
ultraviolet light) to 9000 Å (just into infrared light). The scale for the amount of light is
complicated, but higher numbers are brighter.
The image below shows a typical SDSS spectrum with some labels to point out several features.
Study the image; the text on the next page describes some of its features.
3
Some features of the spectrum are:
•
Continuum peak
‒
the top of the broad
“
hill
”
in the spectrum
•
Absorption line
‒
one of the narrow
“
valleys
”
in the spectrum
•
Noise
‒
some small random fluctuation in the spectrum; noise is usually much smaller
than the absorption lines
The spectrum of a star is composed mainly of thermal radiation (blackbody) that produces a
continuous spectrum. The star emits light over the entire electromagnetic spectrum, from
gamma-rays to radio waves. However, stars do not emit the same amount of energy at all
wavelengths.
The peak emission of their thermal radiation (the continuum peak in the previous spectrum)
comes at a wavelength determined by the star
’
s surface temperature
‒
the hotter the star, the
bluer the continuum peak
(recall Wien’s law)
.
An ideal thermal spectrum is shown on the left below. A spectrum of an actual star is shown on
the right.
In addition to the continuous spectrum, a star
’
s spectrum includes dark lines (absorption lines).
Absorption lines are produced by atoms whose electrons absorb light at a specific wavelength,
causing the electrons to move from a lower energy level to a higher one. This process removes
some of the continuum being produced by the star and results in dark features in the spectrum.
In the actual stellar spectrum, shown above on the right, notice how the underlying shape (the
continuum) is a thermal radiation curve with roughly the same peak as the spectrum on the left.
The big difference between these two is that an actual stellar spectrum has absorption lines and
noise.
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