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    Frank Hertz ExperimentFrank Hertz Experiment

    Ben Richard and Katrina SliwaBen Richard and Katrina Sliwa

    PHY243WPHY243W

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    Preview of Things to ComePreview of Things to Come

    HistoryHistory

    TheoryTheory

    ApparatusApparatus

    IonizationIonization

    ExcitationExcitation

    ShieldingShielding ConclusionsConclusions

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    HistoryHistory

    In 1914, by James Franck and Gustav Ludwig HertzIn 1914, by James Franck and Gustav Ludwig Hertz

    One year after Bohrs theory of quantized energy statesOne year after Bohrs theory of quantized energy states

    Nobel Prize in 1925: for their discovery of the lawsNobel Prize in 1925: for their discovery of the laws

    governing the impact of an electron upon an atomgoverning the impact of an electron upon an atom

    Photos: Copyright The Nobel Foundation

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    Energy LevelsEnergy Levels

    Bohr: discrete energy levelsBohr: discrete energy levels

    Excite electrons with electron impactExcite electrons with electron impact

    Hg: 80 electronsHg: 80 electrons

    Excited transitions from electronsExcited transitions from electrons

    33PP00

    11SS00 ((4.6 eV)4.6 eV)

    33PP11 11SS00 ((4.9 eV)4.9 eV)

    33PP22

    11SS00 ((5.4 eV)5.4 eV)

    11PP11

    11SS00 ((6.7 eV)6.7 eV)

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    Electron ScatteringElectron Scattering

    Why Hg?Why Hg?

    Monoatomic vaporMonoatomic vapor

    Easy to control vapor pressureEasy to control vapor pressure

    Mean free path through a gas in a cavity:Mean free path through a gas in a cavity:

    I = (2I = (2nRnR00))--

    Kinetic energy gained in an electric field during I:Kinetic energy gained in an electric field during I:

    K = eEIK = eEI

    Elastic scattering: K

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    Frank Hertz Vacuum TubeFrank Hertz Vacuum Tube

    Anode

    Cathode (VF)

    Grid (VCG

    )

    Electric field

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    Frank HertzBox

    Control Box

    MultimeterElectrometer

    To Computer

    A

    G

    F C

    Experimental SetupExperimental Setup

    Thermometer

    B

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    IonizationIonization

    Anode at negative potential w.r.t. cathodeAnode at negative potential w.r.t. cathode

    Grid at positive potential w.r.t. cathodeGrid at positive potential w.r.t. cathode

    Electrons can ionize mercuryElectrons can ionize mercury

    positive Hg ions pulled toward anodepositive Hg ions pulled toward anode

    SettingsSettings

    Retarding voltage: 1.5 VRetarding voltage: 1.5 V VVff= 6.3 V= 6.3 V

    Temperature from 100Temperature from 10000C to 185C to 18500CC

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    Temperature ResultsTemperature Results

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    Ionization ResultsIonization Results

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    ExcitationExcitation

    Retarding voltage: 1.5 VRetarding voltage: 1.5 V VVff= 6.30 V= 6.30 V

    0 V < V0 V < Vcgcg < 45 V in 0.1 V steps< 45 V in 0.1 V steps

    Assumptions:Assumptions:

    KKe cathodee cathode= 0= 0

    All electrons with KAll electrons with K

    ee < eV< eV

    retardingretarding captured by gridcaptured by grid

    Electrons with required energy travel negligibleElectrons with required energy travel negligible

    distances before collisiondistances before collision

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    Excitation resultsExcitation results

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    Excitation resultsExcitation results

    Avg dist between peaks: 4.93Avg dist between peaks: 4.93+/- .25 eV+/- .25 eV For Hg:For Hg:E = 4.6 eV, 4.9 eV, 5.4 eV, 6.7 eVE = 4.6 eV, 4.9 eV, 5.4 eV, 6.7 eV

    LifetimeLifetime

    33

    PP00 11

    SS00 >> Lifetime>> Lifetime33

    PP11 11

    SS00 Accepted value: 4.9 eVAccepted value: 4.9 eV

    h = Veh = Ve/c;/c; = 253.6 x 10= 253.6 x 10-9-9 mm

    h = 6.63 +/- .34 x 10h = 6.63 +/- .34 x 10-34-34 JsJs

    Accepted value: h=Accepted value: h=6.626 x 106.626 x 10-34-34 JsJs

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    Excitation ObservationsExcitation Observations

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    Excitation ObservationsExcitation Observations

    www.physics.umd.edu/.../demos/demosn2/n2-06.htm

    http://www.physics.umd.edu/.../demos/demosn2/n2-06.htmhttp://www.physics.umd.edu/.../demos/demosn2/n2-06.htmhttp://www.physics.umd.edu/.../demos/demosn2/n2-06.htmhttp://www.physics.umd.edu/.../demos/demosn2/n2-06.htm
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    ElectrometerElectrometer

    Very sensitive to external electric fieldsVery sensitive to external electric fields

    Attempted to create grounded tin foil shieldAttempted to create grounded tin foil shield

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    ConclusionsConclusions

    Inconclusive ionization resultsInconclusive ionization results

    Found excitation peaks at: 4.93Found excitation peaks at: 4.93 +/- .25 eV+/- .25 eV

    Measured h to be: 6.63 +/- .34 x 10Measured h to be: 6.63 +/- .34 x 10-34-34

    JsJs Future work:Future work:

    Fine tune parameters for ionizationFine tune parameters for ionization

    Obtain VObtain Vff experimentallyexperimentally Create better shield for electrometerCreate better shield for electrometer

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    ReferencesReferences

    UR Advanced Laboratory Manual, The Franck-HertzExperiment [Online]http://www.pas.rochester.edu/~AdvLab/2-Frank-Hertz/La

    K. M. Beck and J. Mainzer, The Franck-HertzExperiment [Online] http://www.pas.rochester.edu/~advlab/reports/beck_mainzer_franckhertz.pdf

    A. C. Melissinos, Experiments in Modern PhysicsAcademic Press (1966)

    C. J. SansonettiC. J. Sansonetti et al.et al., Phys. Scr., Phys. Scr. 6363 219-242, 2001219-242, 2001

    Nobel FoundationNobel Foundationhttp://nobelprize.org/nobel_prizes/physics/laureahttp://nobelprize.org/nobel_prizes/physics/laureates/1925/index.htmltes/1925/index.html

    http://www.pas.rochester.edu/~AdvLab/2-Frank-Hertz/Lab02%20Hertz.pdfhttp://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~advlab/reports/http://www.pas.rochester.edu/~AdvLab/2-Frank-Hertz/Lab02%20Hertz.pdf