ap physics b - atomic and nuclear physics

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    Atomic & Nuclear Physics

    AP Physics B

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    Life and AtomsEvery time you breathe you are takingin atoms. Oxygen atoms to beexact. These atoms react with theblood and are carried to every cellin your body for various reactionsyou need to survive. Likewise,every time you breathe out carbondioxide atoms are released.

    The cycle here is interesting.

    TAKING SOMETHING IN.

    ALLOWING SOMETHING OUT!

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    The AtomAs you probably already know an

    atom is the building block of allmatter. It has a nucleus withprotons and neutrons and anelectron cloud outside of thenucleus where electrons are

    orbiting and MOVING.

    Depending on the ELEMENT, theamount of electrons differs aswell as the amounts of orbitssurrounding the atom.

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    When the atom gets excited or NOT

    To help visualize the atom think of it like a ladder. The bottom ofthe ladder is called GROUND STATE where all electrons wouldlike to exist. If energy is ABSORBED it moves to a new rung onthe ladder or ENERGY LEVEL called an EXCITED STATE.This state is AWAY from the nucleus.

    As energy is RELEASED the electron can relax by moving to anew energy level or rung down the ladder.

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    Energy LevelsYet something interesting happens asthe electron travels from energylevel to energy level.

    If an electron is EXCITED, that meansenergy is ABSORBED andtherefore a PHOTON is absorbed.

    If an electron is DE-EXCITED, thatmeans energy is RELEASED andtherefore a photon is released.

    We call these leaps from energy levelto energy level QUANTUM LEAPS.

    Since a PHOTON is emitted thatmeans that it MUST have a certainwavelength.

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    Energy of the PhotonWe can calculate the ENERGYof the released or absorbed

    photon provided we know theinitial and final state of theelectron that jumps energylevels.

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    Energy Level DiagramsTo represent these

    transitions we canconstruct an ENERGYLEVEL DIAGRAM

    Note: It is very important to understanding that these transitions DO NOT

    have to occur as a single jump! It might make TWO JUMPS to get back toground state. If that is the case, TWO photons will be emitted, each with adifferent wavelength and energy.

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    ExampleAn electron releases energyas it moves back to itsground state position. As aresult, photons are

    emitted. Calculate thePOSSIBLE wavelengths ofthe emitted photons.

    Notice that they give us theenergy of each energylevel. This will allow us tocalculate the CHANGE inENERGY that goes to theemitted photon.

    This particular sample will release three

    different wavelengths, with TWO beingthe visible range ( RED, VIOLET) andONE being OUTSIDE the visible range

    (INFRARED)

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    Energy levels Application: Spectroscopy

    Spectroscopy is an optical technique by which we canIDENTIFY a material based on its emissionspectrum. It is heavily used in Astronomy and

    Remote Sensing. There are too many subcategoriesto mention here but the one you are probably themost familiar with are flame tests.

    When an electron gets excited inside

    a SPECIFIC ELEMENT, the electronreleases a photon. This photonswavelength corresponds to the

    energy level jump and can be usedto indentify the element.

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    Different Elements = Different Emission

    Lines

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    Emission Line SpectraSo basically you could look at lightfrom any element of which theelectrons emit photons. If youlook at the light with a diffraction

    grating the lines will appear assharp spectral lines occurring atspecific energies and specificwavelengths. This phenomenonallows us to analyze theatmosphere of planets orgalaxies simply by looking at thelight being emitted from them.

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    Nuclear Physics - RadioactivityBefore we begin to discuss the specifics of radioactive

    decay we need to be certain you understand the

    proper NOTATION that is used.To the left is your typical radioactive

    isotope.

    Top number = mass number = #protons

    + neutrons. It is represented by theletter "A

    Bottom number = atomic number = # ofprotons in the nucleus. It is represented

    by the letter "Z"

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    Nuclear Physics Notation & Isotopes

    An isotope is when you havethe SAME ELEMENT, yetit has a different MASS.This is a result of haveextra neutrons. SinceCarbon is always going to

    be element #6, we canwrite Carbon in terms of itsmass instead.

    Carbon - 12Carbon - 14

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    Einstein Energy/Mass EquivalenceIn 1905, Albert Einstein publishes a 2nd majortheory called the Energy-MassEquivalence in a paper called, Does the

    inertia of a body depend on its energycontent?

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    Einstein Energy/Mass EquivalenceLooking closely at Einsteins equation we see that he

    postulated that mass held an enormous amount ofenergy within itself. We call this energy BINDING

    ENERGY or Rest mass energy as it is the energythat holds the atom together when it is at rest. Thelarge amount of energy comes from the fact that thespeed of light is squared.

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    Energy Unit Check

    2

    2

    2

    2

    2

    2

    2

    s

    mkgm

    s

    mkgWE

    s

    m

    kgNmaF

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    s

    mkgJoulemcE

    net

    B

    ===

    ==

    ==

    ==

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    Mass Defect

    The nucleus of the atom is held together by a STRONG NUCLEAR

    FORCE.

    The more stable the nucleus, the more energy needed to break it apart.Energy need to break to break the nucleus into protons and neutrons iscalled the Binding Energy

    Einstein discovered that the mass of the separated particles is greaterthan the mass of the intact stable nucleus to begin with.

    This difference in mass (m) is called the mass defect.

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    Mass Defect - Explained

    The extra mass turns into energy

    holding the atom together.

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    Mass Defect

    Example

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    Radioactivity

    When an unstable nucleus releases energy and/orparticles.

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    Radioactive DecayThere are 4 basic types of

    radioactive decay

    Alpha Ejected Helium Beta Ejected Electron

    Positron Ejected Anti-

    Beta particle Gamma Ejected Energy

    You may encounter protonsand neutrons being emittedas well

    n

    p

    ee

    He

    1

    0

    1

    1

    00

    0

    1

    0

    1

    4

    2

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    Alpha Decay

    HeUPu4

    2

    236

    92

    240

    94+

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    Alpha Decay Applications

    ?

    4

    2

    241

    95

    A

    ZHeAm +

    Americium-241, an alpha-emitter, is used in smoke detectors. The alpha

    particles ionize air between a small gap. A small current is passed through thationized air. Smoke particles from fire that enter the air gap reduce the currentflow, sounding the alarm.

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    Beta Decay

    AceRa228

    89

    0

    1

    228

    88 +

    There arent really any

    applications of beta decay

    other than Betavoltaics which

    makes batteries from betaemitters. Beta decay, didhowever, lead us to discover

    the neutrino.

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    Beta Plus Decay - Positron

    ThePa230

    90

    0

    1

    230

    91 +

    Isotopes which undergo this decay

    and thereby emit positrons includecarbon-11, potassium-40,nitrogen-13, oxygen-15, fluorine-

    18, and iodine-121.

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    Beta Plus Decay Application - Positron

    emission tomography (PET)Positron emission tomography

    (PET) is a nuclear medicine

    imaging technique whichproduces a three-dimensionalimage or picture of functionalprocesses in the body. Thesystem detects pairs of gammarays emitted indirectly by apositron-emitting radionuclide(tracer), which is introducedinto the body on a biologicallyactive molecule. Images oftracer concentration in 3-

    dimensional space within thebody are then reconstructed bycomputer analysis.

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    Gamma Decay

    0

    0

    240

    94

    240

    94 + PuPu

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    Gamma Decay ApplicationsGamma rays are the most dangerous type of radiation

    as they are very penetrating. They can be used tokill living organisms and sterilize medical equipment

    before use. They can be used in CT Scans andradiation therapy.

    Gamma Rays are used to view stowaways inside of a truck. This

    technology is used by the Department of Homeland Security at many portsof entry to the US.

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    Significant Nuclear Reactions - Fusion

    nHeHH 1042

    31

    21 ++

    nuclear fusion is the process by which multiple like-charged atomic nucleijoin together to form a heavier nucleus. It is accompanied by the release orabsorption of energy.

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    Fusion Applications - IFEIn an IFE (Inertial Fusion Energy) power plant, many (typically

    5-10) pulses of fusion energy per second would heat a low-activation coolant, such as lithium-bearing liquid metals or moltensalts, surrounding the fusion targets. The coolant in turn wouldtransfer the fusion heat to a power conversion system to produceelectricity.

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    Significant Nuclear Reactions - Fission

    Nuclear fission differs from other forms of radioactive decay in that it can be

    harnessed and controlled via a chain reaction: free neutrons released byeach fission event can trigger yet more events, which in turn release moreneutrons and cause more fissions. The most common nuclear fuels are 235U

    (the isotope of uranium with an atomic mass of 235 and of use in nuclearreactors) and 239Pu (the isotope of plutonium with an atomic mass of 239).

    These fuels break apart into a bimodal range of chemical elements with

    atomic masses centering near 95 and 135 u (fission products).

    energynKrBaUn ++++1

    0

    92

    36

    141

    56

    235

    92

    1

    0

    3

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    Fission BombOne class of nuclear weapon, a fission

    bomb(not to be confused with thefusion bomb), otherwise known asan atomic bombor atom bomb, is a

    fission reactor designed to liberateas much energy as possible asrapidly as possible, before thereleased energy causes the reactorto explode (and the chain reaction to

    stop).

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