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Page 1: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Astro110-01Lecture 15

Light and Matter (Cont’d)

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What have we learned?• Three basic types of spectra

— continuous spectrum— emission line spectrum— absorption line spectrum

• Light tells us what things are made of—Each atom has a unique fingerprint—We can determine which atoms

something is made of by looking for theirfingerprints in the spectrum

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What have we learned?

• How light tells us the temperature ofplanets and stars—Nearly all large or dense objects emit a

continuous spectrum that depends ontheir temperature

—The spectrum of that thermal radiationtells us the object’s temperature

Page 4: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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How light tells us the speed ofa distant object:

The Doppler Effect

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Mathematically speaking

vrad/c = (λshift – λrest)/ λrest

Example: If observe Hα spectral line(normally at 656.285 nm) from the starVega at 656.255 nm,

then Vega is moving at:vrad/c = - 4.57 10-5 or 13.7 km/s away from

us

Page 6: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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The Doppler Effect

Page 7: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Doppler effect: Same for light

Page 8: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Measuring the Shift

We generally measure the Doppler effect fromshifts in the wavelengths of spectral lines.

Stationary: Reference

Moving Away

Away Faster

Moving Toward

Toward Faster

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The amount of blue or red shifttells us an object’s speed toward

or away from us:

The Doppler Shift of an Emission-Line Spectrum

Page 10: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Doppler shift tells us ONLY about the part of anobject’s motion toward or away from us.

Star 1 is moving directly away fromus. Doppler shift tells us its fullspeed

Star 2 is moving across our line ofsight, but not toward or away fromus. Doppler shift = 0

Star 3 is moving diagonally awayfrom us. Doppler shift tells us thepart of the star’s speed away fromus. But not the part of the speedacross our line of sight

Page 11: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Thought Question

• It is moving away from me.• It is moving toward me.• It has unusually long spectral lines.

I measure a line in the lab at 500.7 nm. Thesame line in a star has wavelength 502.8 nm.What can I say about this star?

Page 12: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Thought Question

• It is moving away from me.• It is moving toward me.• It has unusually long spectral lines.

I measure a line in the lab at 500.7 nm.The same line in a star has wavelength502.8 nm. What can I say about this star?

Page 13: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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The Doppler Shift of an Emission-Line Spectrum

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MeasuringRedshift

Doppler Shift of Absorption Lines

Page 15: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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MeasuringVelocity

Determining the Velocity of a Gas Cloud

Page 16: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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MeasuringVelocity

Determining the Velocity of a Cold Cloud of Hydrogen Gas

Page 17: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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What have we learned?

• Light tells us the speed of a distant object:—The Doppler effect tells us how fast an

object is moving toward or away from us

• Blueshift (shortened wavelength):– objects moving toward us

• Redshift (lengthened wavelength):– objects moving away from us

Page 18: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Reviewing the properties ofspectra

Page 19: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Continuous Spectrum

Emission Line Spectrum Absorption Line Spectrum

Spectra of astrophysical objectsare usually combinations of these

three basic types

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Continuous Spectrum

• The spectrum of a common (incandescent)light bulb spans all visible wavelengths,without interruption.

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Emission Line Spectrum

• A thin or low-density cloud of gas emits light only atspecific wavelengths that depend on its compositionand temperature, producing a spectrum with brightemission lines.

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Absorption Line Spectrum

• A cloud of gas between us and a light bulb canabsorb light of specific wavelengths, leaving darkabsorption lines in the spectrum.

Page 23: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Chemical Fingerprints

Each type of atom has a unique spectralfingerprint

Page 24: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Transitions yielding emissionlines

• Downwardtransitionsproduce a uniquepattern ofemission lines.

Page 25: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Transitions yielding absorptionlines

• Because thoseatoms canabsorb photonswith those sameenergies, upwardtransitionsproduce a patternof absorptionlines at the samewavelengths.

Page 26: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Production of Absorption Lines

Page 27: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Wien’s Law λ max = 2.9 106 / T (K)

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Some Exercises

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Thought Question Which letter(s) labels absorption lines?

A B C D E

Page 30: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Thought Question Which letter(s) labels absorption lines?

A B C D E

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Thought Question

A B C D E

Which letter(s) labels the peak (greatestintensity) of infrared light?

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A B C D E

Thought Question

Which letter(s) labels the peak (greatestintensity) of infrared light?

Page 33: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Thought Question Which letter(s) labels emission lines?

A B C D E

Page 34: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Thought Question Which letter(s) labels emission lines?

A B C D E

Page 35: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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Interpreting an ActualSpectrum

• By carefully studying the features in aspectrum, we can learn a great dealabout the object that created it.

Page 36: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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What is this object?

Reflected Sunlight: Continuous spectrum ofvisible light is like the Sun’s except that some ofthe blue light has been absorbed—object mustlook red

Page 37: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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What is this object?

Thermal Radiation: Infrared spectrumpeaks at a wavelength correspondingto a temperature of 225 K

Page 38: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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What is this object?

Carbon Dioxide:Absorption lines arethe fingerprint of CO2in the atmosphere

Page 39: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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What is this object?

Ultraviolet Emission Lines:Indicate a hot upper atmosphere

Page 40: Astro110-01 Lecture 15 Light and Matter (Cont’d)...23/02/09 Habbal_Astro110-01 Lecture 15 10 Doppler shift tells us ONLY about the part of an object’s motion toward or away from

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What is this object?

Mars!