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Ester Hydrolysis MechanismsAlkaloids OverviewAlkaloid Structure MethodsStructure Elucidation of NicotineIntroduction to DrugsClassification of Drugs: PharmacodynamicsWhy Do We Take Paracetamol in Fever?Types of SolventsSustainable SolventsNucleophile and ElectrophileReactions of MaltoseFunctional GroupsSN1 and SN2 ReactionsGrignard ReagentE1 and E2 Elimination
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Ajanta Cave PaintingsChemical Principles of Food PreservationAncient Indian Methods of Food PreservationChemicals Used in Food PreservationHow were clothes dyed?Ancient Indian Glass and Ceramic TechnologyAncient Indian MetallurgyAncient Chemistry of Cosmetics & Perfumery
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Quantum Yield: Definition, Formula & Experimental Determination

  • Ratio: (Molecules reacted) / (Photons absorbed)
  • High yield (Φ > 1): One photon, many molecules
  • Low yield (Φ < 1): Many photons, one molecule
  • Energy of Einstein (E) = Nhc/λ
Quantum Yield (denoted by φ)Mathematical RepresentationKey ObservationsExperimental Method for Determination(a) Number of molecules reacted(b) Number of photons absorbedConstants and UnitsUnit of ϕ

Quantum Yield (denoted by φ)

Quantum yield is the ratio of the number of molecules reacted or formed to the number of photons of light absorbed in a photochemical reaction. It measures the efficiency of the reaction.

Mathematical Representation

φ = Number of molecules reacted or formedNumber of photons absorbed

Alternatively, in molar terms:

φ = Number of moles of substance reacted or formedNumber of moles of photons (Einsteins) absorbed

Key Observations

  • If 1 photon reacts with 1 molecule, then Φ = 1 (normal quantum yield).
  • If 1 photon reacts with many molecules, Φ > 1 (high quantum yield).
  • If many photons are needed to react with 1 molecule, Φ < 1 (low quantum yield).
  • Note: One mole of photons is also known as one Einstein.

    Experimental Method for Determination

    To determine the quantum yield (φ) experimentally, two measurements are needed in the same amount of time:

  • 1.The number of moles of the substance reacted or formed.
  • 2.The number of moles of photons (Einsteins) absorbed by the substance.
  • (a) Number of molecules reacted

  • Shine light on the chemical reactant for a specific duration.
  • Measure how much of the chemical has reacted (or how much product is formed). This can be done by chemical analysis or spectroscopy.
  • (b) Number of photons absorbed

    Light energy is absorbed in the form of photons.

    Energy of one photon (E) is given by:

    E = hcλ

    Where:

    h = Planck’s constant

    c = Speed of light

    λ = Wavelength

    N = Avogadro's number (6.02 × 10²³)

    Energy of one mole of photons (one Einstein, E):

    E = Nhcλ

    Constants and Units

  • Planck’s constant (h):
  • h = 6.626 × 10⁻²⁷ erg·s or 6.626 × 10⁻³⁴ J·s
  • Velocity of light (c):
  • c = 3.0 × 10¹⁰ cm/s or 3.0 × 10⁸ m/s
  • Wavelength (λ):
  • Unit: cm, m, or Å (Angstrom)
    1 Å = 10⁻⁸ cm = 10⁻¹⁰ m

    Unit of ϕ

    Dimensionless (no unit).

    Because it is a ratio: molecules / molecules or moles / moles.

    Read next →Arrhenius Equation
    • Ratio: (Molecules reacted) / (Photons absorbed)
    • High yield (Φ > 1): One photon, many molecules
    • Low yield (Φ < 1): Many photons, one molecule
    • Energy of Einstein (E) = Nhc/λ
    Contents
    Quantum Yield (denoted by φ)Mathematical RepresentationKey ObservationsExperimental Method for Determination(a) Number of molecules reacted(b) Number of photons absorbedConstants and UnitsUnit of ϕ

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    Photochemistry: Quantum Yield Determination (PPT)

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    What is Quantum Yield (Φ)?

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    Quantum
    Yield: Definition, Formula & Experimental Determination FAQ

    A quantum yield (Φ) greater than 1 indicates a chain reaction. A single absorbed photon initiates a primary process that produces highly reactive species (like free radicals), which then go on to cause many secondary reactions.

    This happens when the activated molecules lose their energy through other processes (like fluorescence, phosphorescence, or collisions with other molecules) before they have a chance to react and form the product.

    The Stark-Einstein law states that each molecule taking part in a primary photochemical process absorbs exactly one quantum of light (one photon) to become activated.