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BMS 631: Lecture 3
  • Light and Fluorescence
  • J.Paul Robinson, PhD
  • Professor of Immunopharmacology and Bioengineering
  • Purdue University
  • www.cyto.purdue.edu


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Absorption
  • Basic quantum mechanics requires that molecules absorb energy as quanta (photons) based upon a criteria specific for each molecular structure
  • Absorption of a photon raises the molecule from ground state to an excited state
  • Total energy is the sum of all components (electronic, vibrational, rotational, translations, spin orientation energies) (vibrational energies are quite small)
  • The structure of the molecule dictates the likely-hood of absorption of energy to raise the energy state to an excited one


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Lifetime
  • Absorption associated with electronic transitions (electrons changing states) occurs in about 1 femptosecond (10-15 s)
  • The lifetime of a molecule depends on how the molecule disposes of the extra energy
  • Because of the uncertainty principle, the more rapidly the energy is changing, the less precisely we can define the energy
  • So, long-lifetime-excited-states have narrow absorption peaks, and short-lifetime-excited-states have broad absorption peaks
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Exctinction
  • Using Beer’s law (Beer-Lambert law) for light travelling through a curvette thickness d cm containing n molecules/cm3
    • ln (Io/I) = snd
      • where Io and I are the light entering and leaving and s is the molecular property called the absorption cross section
  • Now we can state that
    • ln (Io/I) = and  where C is the concentration and a is the absorption coefficient which reflects the capacity of the absorbing substance to absorb light
  • If there are n (molecules/cm3 ; d in cm, s must be in cm2 so if a is in cm2/mol, C must be in mol/cm3 do C=a/103
  • giving
    • log10 (Io/I) = ead = A
    • where A is the absorbance or optical density
    • and e is the decadic molar exctinction coeficient in dm3mol-1cm-1
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Absorbance
  • O.D. units or absorbance is expressed in logarithmic terms so they are additive.
  • E.g. an object of O.D. of 1.0 absorbs 90% of the light. Another object of O.D. 1.0 placed in the path of the 10% of the light 10% of this light or 1% of the original light is transmitted by the second object
  • It is posssible to express the absorbance of a mixture of substances at a particular wavelength as the sum of the absorbances of the components
  • You can calculate the cross sectional area of a molecule to determine how efficient it will absorb photons. The extinction coefficient indicates this value
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Parameters
  • Extinction Coefficient
    •  e  refers to a single wavelength (usually the absorption maximum)
  • Quantum Yield
    • Qf   is a measure of the integrated photon emission over the fluorophore spectral band
  • At sub-saturation excitation rates, fluorescence intensity is proportional to the product of e and Qf
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Fluorescence
  • Quantum Yield
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Fluorescence
  • Photon emission as an electron returns from an excited state to ground state
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Fluorescence
  • Excitation Spectrum
    • Intensity of emission as a function of exciting wavelength
  • Chromophores are components of molecules which absorb light
  • They are generally aromatic rings
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Fluorescence
  • The wavelength of absorption is related to the size of the chromophores
  • Smaller chromophores, higher energy (shorter wavelength)
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Fluorescence
  • Stokes Shift
    • is the energy difference between the lowest energy peak of absorbance and the highest energy of emission
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Fluorescence
  • The longer the wavelength the lower the energy
  • The shorter the wavelength the higher the energy
    • eg. UV light from sun - this causes the sunburn, not the red visible light
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Simplified Jablonski Diagram
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Fluorescence
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Fluorescence


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Fluorescence Excitation Spectra
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Conclusions
  • Dye molecules must be close to but below saturation levels for optimum emission
  • Fluorescence emission is longer than the exciting wavelength
  • The energy of the light increases with reduction of wavelength
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Allophycocyanin (APC)
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Excitation Saturation
  • The rate of emission is dependent upon the time the molecule remains within the excitation state (the excited state lifetime tf)
  • Optical saturation occurs when  the rate of excitation exceeds the reciprocal of tf
  • In a scanned image of 512 x 768 pixels (400,000 pixels) if scanned in 1 second requires a dwell time per pixel of 2 x 10-6 sec.
  • Molecules that remain in the excitation beam for extended periods have higher probability of interstate crossings and thus phosphorescence
  • Usually, increasing dye concentration can be the most effective means of increasing signal when energy is not the limiting factor (i.e. laser based confocal systems)
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Phosphorescence
  • Following absorption, molecules can relax via a non-radiative transition to the T1 rather than the S1 state - this is called an intersystem crossing,
  • While it is forbidden it does happen and has a low probability and takes a longer time - the energy dissipated is called phosphorescence
  • Phosphorescence has a longer lifetime than fluorescence (milliseconds rather than femptoseconds
  • Phosphorescence generally occurs at longer wavelengths than fluorescence because the energy difference between S0 and T1 is lower
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Resonance Energy Transfer
  • Resonance energy transfer can occur   when the donor and acceptor molecules are less than 100 A of one another
  • Energy transfer is non-radiative which means the donor is not emitting a photon which is absorbed by the acceptor
  • Fluorescence RET (FRET) can be used to spectrally shift the fluorescence emission of a molecular combination.
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Fluorescence
  • Resonance Energy Transfer
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Raman Scatter
  • A molecule may undergo a vibrational transition (not an electronic shift) at exactly the same time as scattering occurs
  • This results in a photon emission of a photon differing in energy from the energy of the incident photon by the amount of the above energy - this is Raman scattering.
  • The dominant effect in flow cytometry is the stretch of the O-H bonds of water. At 488 nm excitation this would give emission at 575-595 nm
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Quenching, Bleaching & Saturation
  • Quenching is when excited molecules relax to ground stat5es via nonradiative pathways avoiding fluorescence emission (vibration, collision, intersystem crossing)
  • Molecular oxygen quenches by increasing the probability of intersystem crossing
  • Polar solvents such as water generally quench fluorescence by orienting around the exited state dipoles


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Lecture Summary
  • Light and Matter
  • Absorption
  • Fluorescence


  • From this lecture you should understand:
    • The nature of fluorescence molecules
    • How fluorescence is generated
    • Why molecules have different excitation and emission
    • What Resonance Energy Transfer is
    • What quantum yield is