6. Really Basic Optics

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6. Really Basic Optics -15000 -10000 -5000 0 5000 10000 15000 0 0.2 0.4 0.6 0.8 1 1.2 Tim e (s) Am plitude Sample Sample Prep Instrument Instrument Out put Signal (Data) Select light Sample interaction source select Turn off/diminish intensity detect Polychromatic light Selected light Turn on different wavelength

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6. Really Basic Optics. Instrument. Sample Prep. Instrument Out put. Sample. Signal (Data). Turn off/diminish intensity. Polychromatic light. Selected light. Sample interaction. Select light. Turn on different wavelength. select. source. detect. Really Basic Optics - PowerPoint PPT Presentation

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  • 6. Really Basic OpticsSampleSamplePrepInstrumentInstrument Out putSignal (Data)Select lightSampleinteractionsourceselectTurn off/diminish intensitydetectPolychromatic lightSelected lightTurn on different wavelength

  • Really Basic Optics

    Key definitionsPhase angleAtomic lines vs molecular bandsAtomic Line widths (effective; natural)Doppler broadeningMolecular bandsContinuum sources Blackbody radiatorsCoherent vs incoherent radiation

  • 6. Really Basic OpticsySin=opp/hypA90o phase angle/2 radian phase angle/23/22

  • Emission of PhotonsElectromagnetic radiation is emitted when electrons relax from excited states. A photon of the energy equivalent to the difference in electronic statesIs emittedeEhiEloFrequency 1/s

  • Really Basic Optics

    Key definitionsPhase angleAtomic lines vs molecular bandsAtomic Line widths (effective; natural)Doppler broadeningMolecular bandsContinuum sources Blackbody radiatorsCoherent vs incoherent radiation

  • Theoretical width of an atomic spectral line

  • Line broadens due UncertaintyDoppler effectPressureElectric and magnetic fieldsLifetime of an excited state is typically 1x10-8 sNatural Line Widthsfrequency

  • Example: 253.7 nmTypical natural line widths are 10-5 nm

  • Line broadens due UncertaintyDoppler effectPressureElectric and magnetic fields

  • Line broadens due UncertaintyDoppler effectPressureElectric and magnetic fieldsThe lifetime of a spectral event is 1x10-8 s When an excited state atom is hit with another high energy atomenergy is transferred which changes the energy of the excited state and, hence, the energy of the photon emitted.This results in linewidth broadening. The broadening is Lorentzian in shape.FWHM = full width half maximumo is the peak center in frequency unitsWe use pressure broadeningOn purpose to get a largeLine width in AA for someForms of background correction

  • Line spectra occur when radiating species are atomic particles whichExperience no near neighbor interactionsOverlapping line spectra lead to band emissionLine broadens due UncertaintyDoppler effectPressureElectric and magnetic fieldsLine eventsCan lie on topOf band events

  • Continuum emission an extreme example of electric and magneticeffects on broadening of multiple wavelengths High temperature solids emit Black Body Radiationmany over lapping line and band emissions influenced by near neighbors

  • Wiens LawStefan-Boltzmann Law= Energy density of radiationh= Plancks constantC= speed of lightk= Boltzmann constantT=Temperature in Kelvin= frequency

    As (until effect of exp takes over)As T,exp, Plancks Blackbody Law

  • Really Basic Optics

    Key definitionsPhase angleAtomic lines vs molecular bandsAtomic Line widths (effective; natural)Doppler broadeningMolecular bandsContinuum sources Blackbody radiatorsCoherent vs incoherent radiation

  • ABThe Multitude of emitters, even if they emitThe same frequency, do not emit at theSame timeIncoherent radiationFrequency,, is theSame but wave from particleB lags behind A by the Phase angle

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    Sheet1

    xySUMMARY OUTPUT

    12

    24Regression Statistics

    36Multiple R1

    48R Square1

    510Adjusted R Square1

    Standard Error0

    Observations5

    ANOVA

    dfSSMSFSignificance F

    Regression14040

    Residual300

    Total440

    CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Lower 95.0%Upper 95.0%

    Intercept00655350000

    X Variable 120655352222

    xySUMMARY OUTPUT

    11.5

    24.4Regression Statistics

    36.4Multiple R0.9719549703

    47.2R Square0.9446964643

    512Adjusted R Square0.9262619524

    Standard Error1.0513483406

    Observations5

    ANOVA

    dfSSMSFSignificance F

    Regression156.64456.64451.2460796140.0056141275

    Residual33.3161.1053333333

    Total459.96

    CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Lower 95.0%Upper 95.0%

    Intercept-0.841.1026634422-0.76179182870.5015981037-4.34917048942.6691704894-4.34917048942.6691704894

    X Variable 12.380.33246553717.15863671480.00561412751.32194528743.43805471261.32194528743.4380547126

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