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Spherical coordinate representations of solvent composition for liquid chromatography method development using

Vicki Morris1, Jeff Hughes, Philip Marriott

  • 1Department of Applied Chemistry, RMIT University, GPO Box 2476V Melbourne, Victoria. Australia.

Journal of Chromatography. A
|August 29, 2003
PubMed
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Glajch's Triangle method for high performance liquid chromatography (HPLC) lacks simultaneous optimization. A new spherical coordinate method enables experimental designs for optimizing mobile phase composition and other factors in HPLC method development.

Area of Science:

  • Analytical Chemistry
  • Chromatography

Background:

  • Mixture designs like Glajch's Triangle are common for ternary/quaternary HPLC method development.
  • These methods do not allow simultaneous optimization of factors like gradient time, pH, and temperature.
  • The 100% constraint for mobile phase composition complicates mathematical representation of ranges.

Purpose of the Study:

  • To introduce a novel method for simultaneous optimization in HPLC method development.
  • To overcome the limitations of existing mixture designs for multi-component mobile phases.
  • To enable the application of experimental designs to optimize mobile phase composition alongside other factors.

Main Methods:

  • A method based on spherical coordinate representations is described.
  • This approach adheres to mobile phase composition constraints (totaling 100%).

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  • Allows application of experimental designs (e.g., central composite, factorial) for simultaneous optimization.

    • Main Results:

    • The described method allows simultaneous optimization of mobile phase composition, temperature, and gradient time.
    • Three-way interactions between experimental factors were found necessary in the model for HPLC separation of phenols and corticosteroids.
    • These interactions are significant and must be considered in HPLC method development.

    Conclusions:

    • The spherical coordinate method provides a robust framework for HPLC method development.
    • Simultaneous optimization of multiple factors, including composition and environmental conditions, is achievable.
    • The importance of considering three-way interactions for successful HPLC method development is highlighted.