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D O N OW (3/7/14): 1. What is a photon? 2. What are some characteristics of photons? 3. Does light interact with matter as a particle or a wave? Justify your answer.

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STRAIGHT OUTTA COMPTON T HE C OMPTON E FFECT 3/7/14 Pass in your DO NOWs

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T HE C OMPTON E FFECT (C OMPTON S CATTERING ) The Compton effect is a form of ionization. What is an ion? An ion is an electrically charged atom or group of atoms. Compton Scattering ionizes particles through the emission of an electron

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A PPLICATION How can this be used? - Ion Propulsion Engines - Particle Accelerators - CT Scans / X-rays

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T HE C OMPTON E FFECT Result of a high-energy photon colliding with a target.

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T HE C OMPTON E FFECT (C OMPTON S CATTERING ) ed.org/EducationResources/HighSchool/Radiogra phy/Graphics/Flash/compton.swf ed.org/EducationResources/HighSchool/Radiogra phy/Graphics/Flash/compton.swf The electron is irradiated with a photon. The Scattered Photon comes off as Radiation.

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T HE C OMPTON E FFECT (C OMPTON S CATTERING ) This lends support to Einstein's photon theory, rather than wave theory. Compton Scattering was first demonstrated in 1923 by Arthur Holly Compton. Scattered radiation experiences a wavelength shift. X-rays increase in wavelength when scattered.

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How does the wave for the incident photon compare to that of the scattered photon?

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C OMPTON S HIFT : ( WRITE ON B ACK ) Is the change in wavelength of scattered photon λ = incoming photon wavelength λ' = scattered photon wavelength

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C OMPTON W AVELENGTH Where m 0 is the mass of the target particle

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Example: Mr. Davis detonates an EMP weapon to destroy some robots. The bomb releases gamma rays with a wavelength of 3x m and the deflect with nitrogen and oxygen electrons at an angle of 45 degrees. What is the wavelength of the scattered gamma-rays? Volunteer for: Givens Equation

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C LASSWORK Two problems (9&10) require the use of photon energy, from the photoelectric effect unit, we will learn more about this next week. If you finish these problems today I will come around and give you extra credit. Spend the rest of class working on your classwork. There is a bonus assignment if you finish early.

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D O N OW (3/10/14) X-rays of wavelength 0.456nm are scattered from a block of carbon. What will the Compton Shift be at: a) 0˚ b) 15˚ c) 45˚

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C LASSWORK At the end of class there will be a one problem Check for Understanding that is related to your Do-Now. You have all of class to ask questions. Dont forget you can use the Parking Lot. I will put all necessary equations and variables on the board.

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C LASSWORK Continue working on your classwork from Friday. Questions 8,9, and 10 use energy which we will learn tomorrow. Extra Credit if you solve them today. If you finish early there is a bonus and you can start tomorrows classwork. Check for Understanding last 10 minutes of class.

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C HECK F OR U NDERSTANDING (3/10/14) X-rays of wavelength 0.789nm are scattered from a block of carbon. What is the angle of reflection of the photon if the Compton Shift is: a) nm b) nm c) nm

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D O N OW (3/11/14) ON YOUR NOTESHEET: (5 MINUTES ) A nm photon collides with a stationary electron. After the collision, the electron moves forward and the photon recoils backwards. 1) Draw a picture of the situation. 2) What is the angle between the scattered photon and the electron? 3) List three things that you have learned about that are CONSERVED. Do this on your notesheet but Im going to stamp your Do Now paper.

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G UIDED N OTESHEET Looking at the problem on the notesheet, what are we solving for? The Kinetic Energy of the Electron

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G UIDED N OTESHEET Lets start by looking at the motion of the electron: When is the electron moving: Before the collision? After Collision? The electron starts out as Stationary After the collision its moving Where does the electron get the energy to start moving? The collision with the photon!

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C ONSERVATION The electron gains energy from its collision with the photon. Is that energy created from nothing? Where does it come from? The photon gives the electron some energy.

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I NCIDENT P HOTON has energy E and linear momentum p :

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S CATTERED P HOTON has energy E :

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T HE C OMPTON E FFECT The photon gives part of its energy to one of the electrons, in the form of KE Total energy and momentum must be conserved.

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L OSS IN PHOTON ENERGY = GAIN IN ELECTRON ENERGY KE electron = E incident photon – E scattered photon Equivalent formulas are on your notes sheet!

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E XAMPLE (5 MINUTES ): a) A 70-keV photon is Compton- scattered by an electron. What is the wavelength of this initial photon? b) If the scattered photon comes off at 27, what is its wavelength after being scattered?

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B ACK TO THE G UIDED N OTESHEET What variables do we have so far? The Initial wavelength of the photon The Angle between the photon and electron

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G UIDED P ROBLEM We are trying to solve for the energy of the scattered electron, how does this relate the energy lost by the photon? What are we solving for? L OSS IN PHOTON ENERGY = GAIN IN ELECTRON ENERGY

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G UIDED P ROBLEM We now need the energy of the scattered photon, what equation do we want to use? To solve for the energy, what variable do we need to solve for? This means we need to solve for λ` Knowing that Photon Energy is transferred to the electron, what should we try to solve for now?

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S OLUTION (5 MINUTES ) Givens: Equation: We need: Solve for λ` Electron Energy:

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P RACTICE : Please use the rest of class to work on your classwork. It will be graded for accuracy. It is due on Friday. Exit Ticket at the end of class.

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E XIT T ICKET (3/11/14) A nm photon collides with a stationary electron. After the collision, the electron moves forward and the photon recoils backwards. Calculate the Kinetic Energy of the electron.

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C ONCEPTUAL Q UESTIONS (3/12/14) (5 M INUTES ) In Compton Scattering 1) What happens to energy lost by the incident photon? 2) The wavelength of the scattered photon (increases/decreases) after collision with the electron. 3) What is the equation for the energy of a scattered electron?

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D O N OW (3/12/14) (8 M INUTES ) 1) What is the equation for the energy of a scattered electron? 2) A nm photon collides with a stationary electron. After the collision, the electron moves forward and the photon recoils backwards. a) Calculate the wavelength of the scattered photon. b) Calculate the Kinetic Energy of the electron. 108 eV

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G ROUP Q UIZ R EVIEW Im going to check one paper per group. Competition for Quiz Extra Credit First Three groups to finish the worksheet with every problem correct get Extra Credit

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G ROUP Q UIZ R EVIEW When you finish a page raise your hand and I will come check it. If you get stuck, skip that problem and come back to it later.

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P ERIOD 4 Cortney Stephanie Ambe Emilie Shazaad Maria Rakem Imani Alexis India H Myeasher Tyler Briahna Chalet Ayona Jade Ayanna Alex Heaven Jasir Corey Jasmine India C Shaitia Emmeranda Ciairah Johnelle

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P ERIOD 6 Sade` Brianna Brooke Imani Vaughn Maria Morgan Uyen Charles Kate Kendall Teira Shaolin Tristan Kayla Tariq Kareem DeAira Shania Chelsey Justin

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P ERIOD 7 Denise Ayana Mariah Sharae Maullea Jermira Jaleel Leez Alvin Ti-Taiyonna Shamar Chance Daja Katesha Rubi Courtnei Will D Tatiana Malcolm Will H Taes Kyallah Michael Shem Leon Camille Stephanie Quinones

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G ROUP Q UIZ R EVIEW When you finish a page raise your hand and I will come check it. If you get stuck skip that problem and come back to it later. Im going to check one paper per group, so make sure one paper has all the solutions.

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C OMPTON S HIFT : The change in wavelength of scattered photon

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T HE C OMPTON EFFECT

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Do Now (3/13/12): Photons are released with a wavelength of 4.7x m and they deflect with nitrogen and oxygen electrons at an angle of 60 degrees. What is the wavelength of the scattered gamma-rays?

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E XAMPLE : A 70-keV photon is Compton-scattered by an electron. If the scattered photon comes off at 27, what is its wavelength?

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D O N OW (3/14/12): A 60 keV photon is Compton-scattered by an electron. If the scattered photon comes off at 36, what is its wavelength?

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E XAMPLE : A 210-nm photon collides with a stationary electron. After the collision, the electron moves forward and the photon recoils backwards. Calculate the kinetic energy of the electron.

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D O N OW (3/15/12): A 0.23-nm photon collides with a stationary electron. After the collision, the electron moves forward and the photon recoils backwards. Calculate the kinetic energy of the electron.

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E XIT T ICKET (3/10/14) A nm x-ray is scattered through an angle of 30º. What is the frequency of the scattered x-ray?

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