Spectral Classes Worksheet-1

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Clemson University *

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Jan 9, 2024

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Spectral Class Worksheet These lab activities have evolved over years of use in Clemson University’s Department of Physics and Astronomy general astronomy laboratory. Contributors include Tom Collins, Mark Leising, Neil Miller, Peter Milne, Grant Williams, Donna Mullenax, Jessica Crist, Keith Davis, Amber Porter, Lea Marcotulli, and David Connick. Please direct all questions, complaints, and corrections to David Connick (dconnic@clemson.edu) who is responsible for all errors and omissions. Worksheet Name Rico Graf III Example Stars Table 1. Stars Spectral Class Name Temperature (K) B-V Color Index (number) Absolute Magnitude (total) Distance (ly) O V918 Scorpii 36,200 +.40 yellow- white -6.18 1400 B Hadar Agena 26,200 -0.15 blue- white -7.35 390 A Muhifain 9,400 +0.01 white -1.08 130 F Sargas 10,100 +.44 yellow- white -3.26 300 G Zeta Hurculis 5,940 +0.66 yellow +2.51 35 K Menkent 4,660 +1.02 orange +.29 58.8 M Brachium 3,540 +1.63 orange-red -3.08 288 1) In which properties do you see a trend as you move down the spectral class? What is the trend? The trend that I see is that starting at the spectral class O the temperature of the stars is very hot, and the farther down you move down the spectral class the temperature decreases. Table 2. Spectral Class K or G Stars Luminosity Class Name Temperature (K) Absolute Magnitude (total) Distance (ly)
ThI Rigil Kentaurus 4990 +1.35 and +0.01 4.36 II 70 Ophiuchi 5150 +4.19 and +6.17 16.6 III 36 Ophiuchi 4990 +4.32 and +4.33 19.5 IV Alsafi 5150 +4.67 18.8 V e Eridani 5310 +4.26 19.8 2) Which property of the star determines its Luminosity Class. How is that property changing as you move from class I to class V? The property that really determines the star's luminosity class is the star's size and temperature. In this table, as you move from class I to V the temperature is the same for some stars, the magnitudes are also fairly similar. IV Spectral Class Spectra 3) Calculate the wavelength extremes for the visible spectrum of hydrogen (n 1 = 2): Ask your instructor for help with this calculation. Longest wavelength: ____6563___ Line designation (n 2 )___3____ Shortest wavelength: __4102_____ Line designation (n 2 )__6_____ V Spectral Class Ordering 4) Using the numerical designations of the absorption spectrum plots which is the simplest plot (least dips and fluctuations)? The simplest plot is plot number 1. 5) Which absorption spectrum plot is the most complex (most dips and fluctuations)? The most complex plot is plot number 7. 6) In which of the absorption spectrum plots are the hydrogen lines the strongest? The absorption spectrum that had the strongest hydrogen lines is plot number 7 7) Which of the absorption spectrum plots is from the highest temperature source? The absorption spectrum that had the highest temperature source was plot number 3 8) Which of the absorption spectrum plots is from the lowest temperature source? The absorption spectrum that had the lowest temperature was plot number 1. 9) Focus on the dips in the absorption spectrum plots due only to Hydrogen. Using the numerical designations list the spectrum from strongest (deepest) hydrogen lines to weakest (shallowest) hydrogen lines. From Highest to lowest it is plot numbers, 7,4,5,2,6,3,1
10) Looking at the calcium emission lines, at what wavelengths do the K and H lines appear at in Angstroms? 3925 and 3975 11) In which absorption spectrum plots can you see (both dips about the same size) the K and H calcium dips? The spectrum plots would be 4,3,2,5 When the spectra are ordered by the intensity of the hydrogen lines alone, other spectral lines do not seem to be appropriately ordered. In particular there is a discontinuity (abrupt change) in the intensity of the K and H lines of calcium between adjacent spectra. In fact, this hydrogen ordering is not the best way to organize the physical properties of the stars. Now list your spectra in a way so that there is a smooth transition between the appearances and disappearances of lines of all elements. List them with the spectral sequence designations (O, B, A, F, G, K, M). Make sure that these make sense given what you know about the spectral classes. Hint: consider the temperature and expected continuum spectra of these stellar types. O B A F G K M 3 4 5 6 7 2 1 Now using the Letter designation of the spectral classes answer the following questions. 12) Which is the simplest spectrum? The simplest spectrum is plot 1 which is M 13) Which is the most complex spectrum? The most complex spectrum is plot 7 which is F 14) Which is the spectrum of the coolest source? The coolest source is spectrum M 15) Which is the spectrum of the hottest source? The hottest spectrum is O 16) Conclusion - The key stellar property that determines the spectrum, both continuum and absorption line is: a star's temperature. ______________________________
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17) Hydrogen is by far the most abundant element in the atmospheres of virtually all "normal" stars. Explain how a star can have very strong lines of other low-abundance elements and only very weak lines of hydrogen. (Hint: Visible hydrogen absorption lines can occur only if the electron starts in the n = 2 orbit.) What basic condition in the star’s atmosphere (other than absence of hydrogen) could make this possible? The basic condition in the star’s atmosphere that could make this possible would be the calcium absorption lines.