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Measuring Light Quantitatively • Spectroscopy: measuring wavelengths () and frequencies () emitted or absorbed by matter; composition of stars • Photometry: measuring the intensity of light; luminosity of stars Measuring Light Quantitatively • Polarimetry: measurement and interpretation of the polarization of light waves. • Polarization: waves that have traveled through or have been reflected, refracted, or diffracted by some material; plane(s) of transmission absorbed Radiation Radiant Energy: • Electromagnetic (EM) energy • Energy that spreads out as it travels from its source • Follows an inverse square law • Can be measured in many different ways Properties of Light Light is radiant energy • Can travel through space without a physical medium • Speed = 300,000 km/sec • Speed in a vacuum is constant and is denoted by the letter “c” Properties of Light • c is reduced as it enters transparent materials; • The speed is dependent on color (Blue light slows more than red) • Lenses and prisms work this way • Light is a “mix” of electrical and magnetic energy Nature of Light • Light shows properties of waves • Can measure wavelength (λ) and frequency (υ) Nature of Light • Light also behaves like a stream of particles called photons • Each photon carries a specific amount of energy • All particles can also behave as waves • Application: Photoelectric effect • Mathematical relationships: c = = wavelength; = frequency c = speed of light As wavelength increases, frequency ____________ Energy and Light: E = h E = energy; h = Planck’s constant As frequency increases, energy ____________ • The range of colors to which the human eye is sensitive is called the visible spectrum • Color is determined by wavelength () • Frequency (or ) is the number of wave crests that pass a given point in 1 second (measured in Hertz, Hz) • C Long λ; Low ν; Low E (Red) •O • L Mid λ; Mid ν; Mid E (Yellow) •O • R Short λ; High ν; High E (Violet) Electromagnetic Radiation • Wavelengths range: 10-14 m to 103 m • Energy range follows the same pattern • These trends make light a great probe for studying the Universe • E-M spectrum includes radio, microwave, infrared, visible, ultraviolet, x-ray, and gamma radiations Invisible Light in Our Universe www.warren-wilson.edu/.../sstephens/bragg2.html Radio Waves • Produced in 1888 by Hertz • First cosmic detection - 1930’s • Long wavelengths (big telescopes needed) • Temperatures < 10 K M87 Galactic Center in radio Very Large Array – New Mexico Radio Waves For detection/study of: Cosmic Background Cold interstellar medium; site of star formation Regions near neutron stars & white dwarfs Dense regions of interstellar space (e.g. near the galactic center) Milky Way in visible (top) and radio wavelengths Infrared Radiation • Discovered by Sir William Herschel (around 1800) • Long wavelength (λ); low frequency (υ) • Temperature range: 10 -103 K Spitzer Space Telescope Infrared Radiation Useful in detecting: • Cool stars • Star Forming Regions • Interstellar dust warmed by starlight • Planets, Comets, Asteroids M104 in visible light M104 in IR Ultraviolet Radiation • Discovered by J. Ritter in 1801 • Photographic plates exposed by “light” beyond the violet • Shorter λ, higher energy • Temperatures: 104 106 K Hampton UV Telescope Ultraviolet Radiation Used to detect/study: • Supernova remnants • Very hot stars • Quasars M101 in visible UV light light X-Rays • Roentgen discovered X rays in 1895 • First detected beyond the Earth in the Sun in late 1940s • Used to study Neutron stars, Supernova remnants Chandra x-ray The sun in x-ray telescope SPECTRA Kirchhoff’s Law Continuous Spectrum: • produced when dense, hot matter emits a continuous array of wavelengths • we see it as white light Emission Spectrum • when heated, a low-density gas (low pressure) will emit light in specific wavelengths • the spectrum produced is called a line spectrum (also called an emission spectrum Emission spectrum of H Absorption Spectrum • Cool, low-density gas between the source and observer absorbs light of specific wavelengths • one gas will absorb and emit in the same wavelengths Spectra and Stars Hydrogen Atom Light & The Atom • Electrons found in discrete energy levels • Electrons absorb energy, move to higher levels • Electrons release energy as they move to lower energy levels Solar Spectrum • The core of our star produces a continuous spectrum • Atoms in the atmosphere absorb the light • These atoms emit light in random directions – that produces dark lines in the spectrum Solar Spectrum Solar Spectrum • The dark lines are called Fraunhofer lines The Sun’s Spectrum Arcturus Spectrum Thermal Radiation & Starlight Wien’s Displacement Law • Heated bodies generally radiate across the entire electromagnetic spectrum • There is one particular wavelength, λm, at which the radiation is most intense and is given by Wien’s Law: λm = k/T Where k is some constant and T is the temperature of the body Thermal Radiation & Starlight • As the temperature of a star increases, the most intense wavelengths become shorter • As an object heats, it appears to change color from red to white to blue Spectroscopy Stefan-Boltzmann Law • As the temperature of a star increases, the total energy output increases as the 4th power of the temperature • E T4 • Motion-induced change in the observed wavelength of any wave — light or sound—is known as the Doppler effect • If the source is moving toward the observer, waves become compressed • A shorter wavelength will appear blue • This is called a blue-shift • If the source is moving away from the observer, waves will be “stretched out” • A longer wavelength will appear red • Known as red-shift Absorption in the Atmosphere • Gases in the Earth’s atmosphere absorb electromagnetic radiation: most wavelengths from space do not reach the ground • Visible light, most radio waves, and some infrared penetrate the atmosphere through atmospheric windows, wavelength regions of high transparency • Lack of atmospheric windows at other wavelengths is the reason for astronomers placing telescopes in space