Lab 8

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University of North Dakota *

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110L

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Astronomy

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Dec 6, 2023

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pdf

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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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