Lecture PowerPoint

Chapter 4

Astronomy Today,

5 th edition

Chaisson

Last Revised:

8-Feb-09

McMillan

© 2005 Pearson Prentice Hall

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Chapter 4

Spectroscopy

Solar Spectrum

Na D Lines

Units of Chapter 4

Spectral Lines

The Formation of Spectral Lines

The Energy Levels of the Hydrogen Atom

The Photoelectric Effect

Molecules

Spectral-Line Analysis

Why Do We Care About Spectra?

Almost everything that we study has a spectrum we can use to analyze its composition, motions and many other properties

Wollaston (1802)

First Solar Spectrum - 8 lines seen

Fraunhofer

Fraunhofer (1817)

Fraunhofer lines – A, B, C, D, etc.

Over 500 lines seen

Modern Solar Spectrum

Over one million lines seen!

Fra ünhofer Solar Line Chart

Identification

Table

Ca II H

β

Fe Na I H

α

T a b l e

Original Fra ünhofer spectrum

4.1 Spectral Lines

Spectroscope: splits light into its component colors

Continuous spectrum

Emits BB radiation

Blackbody Curve Spectrum

All colors ( λ’s) emitted

4.1 Spectral Lines

Continuous Spectrum: all colors ( λ’s) present

Emission lines : single frequencies emitted by particular atoms

H

Na

He

Ne

Hg

4.1 Spectral Lines

Emission spectrum can be used to identify elements by wavelengths of lines:

600 500 400 nm

4.1 Spectral Lines

Absorption spectrum: if a continuous spectrum passes through a cool gas, atoms of the gas will absorb the same frequencies they emit

Dark line spectra

Continuous spectrum

4.1 Spectral Lines

An absorption spectrum can also be used to identify elements. These are the emission and absorption spectra of sodium (D lines): emission absorption

4.1 Spectral Lines

Kirchhoff ’s laws (the 3 types of spectra):

• Luminous solid, liquid, or dense gas produces a continuous spectrum

• Low-density hot gas produces an emission spectrum

• Continuous spectrum incident on cool, thin gas produces an absorption spectrum

4.1 Spectral Lines

Kirchhoff’s laws illustrated:

4.2 The Formation of Spectral Lines

Existence of spectral lines required a new model of the atom , so that only certain amounts of energy could be emitted or absorbed.

(Planck: ∆E = nhν)

Bohr model had certain allowed orbits for the electron:

(n=1) (n>1)

4.2 The Formation of Spectral Lines

Emission energies correspond to energy differences between allowed levels.

Modern model has electron “cloud” rather than orbit:

4.2 The Formation of Spectral Lines

Absorption can boost an electron to the second (or higher) excited state

Two ways to decay:

1. to ground state

2.

cascade one orbital (energy level) at a time

This second method of energy decay or relaxation can lead to the processes of fluorescence, phosphorescence and laser action

4.2 The Formation of Spectral Lines

Energy levels of the hydrogen atom, showing two series of emission lines:

Note:

Balmer series transitions all start or end at n = 2 level visible

Lyman series (n = 1) ultraviolet

Paschen series (n = 3)

Brackett series (n=4)

Pfund series (n=5) all in infrared

How Transitions Make Spectral Lines

Transitions between energy levels of system

Up: absorption

Down: emission

H

β

Emission

H

Absorption

Energy (eV) Levels of H-atom

UV VIS IR

4.2 The Formation of Spectral Lines

Absorption spectrum : created when atoms absorb photons of right energy for excitation

Multielectron atoms : much more complicated spectra, many more possible states

Ionization changes energy levels

4.2 The Formation of Spectral Lines

Emission nebula

(a) direct decay

(b) cascade

4.2 The Formation of Spectral Lines

Emission lines can be used to identify atoms in nebulae, stars and galaxies:

4.2 The Formation of Spectral Lines

Light particles each have energy E:

Here, h is Planck’s constant:

4.2 The Formation of Spectral Lines

The photoelectric effect :

• When light shines on metal, electrons can be emitted

• Frequency must be higher than minimum, characteristic of material

• Increased frequency – more energetic electrons

• Increased intensity – more electrons, same energy

• Einstein won his Nobel prize for explaining this effect (NOT for relativity theory)

4.2 The Formation of Spectral Lines

Photoelectric effect can be understood only if light behaves like particles

4.3 Molecules

Molecules can vibrate and rotate, besides having energy levels

• Electron transitions produce visible and ultraviolet lines

• Vibrational transitions produce infrared lines

• Rotational transitions produce MW & radio-wave lines

4.3 Molecules

Molecular spectra are much more complex than atomic spectra, even for hydrogen:

(a) Molecular hydrogen (b) Atomic hydrogen

(Band spectra) (Line spectra)

Astrophysical Molecular Spectra

• These next few slides show spectra of astronomical objects revealing the presence of common organic and inorganic molecules

“out there”

• These spectra are part of projects with our

NASA colleagues that Dr. Blass, myself and our students work on together

• They are infrared molecular spectra taken by the Voyager , Galileo , Cassini and other spacecraft as well as by ground based, airborne and balloon telescopes

water germane

50 20

Wavelength ( μm)

15 12 10 9

Methane

Phosphine

Ammonia

Hydrogen

Ammonia

Acetylene

Ethane

Wavenumber (cm -1 )

4.4 Spectral-Line Analysis

Information that can be gleaned from spectral lines:

• Chemical composition (Wavelength pattern)

• Temperature (Wien’s law)

• Radial velocity (Doppler effect): moving away source at rest (lab) moving toward

RED 650 nm 450 nm BLUE

4.4 Spectral-Line Analysis

Line widths can be due to Doppler (motional) broadening caused by

• thermal motion

• rotation

Or

From pressure broadening due to collisions altering the velocities ( Lorentzian broadening )

Linewidth

(FWHH)

4.4 Spectral-Line Analysis

Summary of Chapter 4

• Spectroscope splits light beam into component frequencies

• Continuous spectrum is emitted by solid, liquid, and dense gas

• Hot gas has characteristic emission spectrum

• Continuous spectrum incident on cool, thin gas gives characteristic absorption spectrum

Summary of Chapter 4, cont.

• Spectra can be explained using atomic models, with electrons occupying specific orbitals

• Emission and absorption lines result from transitions between orbitals

• Molecules can also emit and absorb radiation when making transitions between vibrational or rotational states