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Extraction: Partition and Distribution Coefficients01:14

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The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
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Binning method for artifact-free time-tag based correlation function calculations.

Oscar Urquidi, Johanna Brazard, Takuji B M Adachi

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    A new binning method eliminates aliasing artifacts in correlation functions computed from time-tagged photon data. This improves accuracy for fluorescence correlation spectroscopy and dynamic light scattering below 10⁻⁵ s lag time.

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    Area of Science:

    • Photon counting techniques
    • Optical spectroscopy
    • Data analysis

    Background:

    • Correlation functions are essential for analyzing time-tagged photon data.
    • Existing algorithms, like Laurence et al.'s, are efficient but can introduce artifacts.
    • Logarithmically spaced bins often lead to noisy short time-lag ranges.

    Purpose of the Study:

    • To identify the cause of noisy artifacts in short time-lag ranges of correlation functions.
    • To develop an improved binning method for accurate autocorrelation computation.
    • To enhance the analysis of photophysical processes and diffusion coefficients.

    Main Methods:

    • Analysis of artifact generation in logarithmically spaced bins.
    • Development of a novel binning strategy considering acquisition frequency.
    • Implementation and validation of the new binning method.

    Main Results:

    • Arbitrary logarithmic binning causes aliasing artifacts due to mismatch with acquisition frequency.
    • The proposed binning method effectively eliminates these artifacts.
    • Improved accuracy in autocorrelation functions, especially at short time lags (< 10⁻⁵ s).

    Conclusions:

    • The new binning method significantly enhances the accuracy of correlation function computation.
    • This method is crucial for precise analysis in fluorescence correlation spectroscopy and dynamic light scattering.
    • Accurate short time-lag analysis enables better understanding of photophysical processes and nanoparticle diffusion.