Liquid Chromatograph Elution Time Calculation
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Solution Overview
Problem
Current liquid chromatography methods inaccurately estimate elution times and solvent mixture ratios, leading to imprecise separation and refinement of components, as they assume a linear mobility model that does not accurately reflect the mixture ratio changes during the elution process.
Innovation Solution
A liquid chromatograph system that includes a mixture ratio change rate storage unit, a mobility storage unit, and an elution time calculating unit, using Equation (2) to precisely calculate elution times and solvent mixture ratios by accounting for the rate of change in the mixture ratio and initial mobility, ensuring accurate reflection of the component's mobility within the column.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If a linear mobility model is used to calculate elution time, then the calculation is simple, but the elution time estimation is inaccurate
Solution Approach 1:
The patent changes the mobility model from a simple linear function to a quadratic function that incorporates the rate of change of solvent mixture ratio. This parameter change allows the model to account for the non-linear relationship between solvent composition and component mobility, significantly improving elution time prediction accuracy while maintaining computational feasibility through the use of stored rate-of-change parameters.
2Productivity
If the mixture ratio changes rapidly during elution, then the separation efficiency is improved, but the accuracy of elution time calculation using linear models decreases
Solution Approach 1:
The patent incorporates feedback by using the actual rate of change of the solvent mixture ratio (a parameter) in the mobility calculation. This feedback mechanism allows the quadratic mobility model to dynamically adjust to varying elution conditions, accurately capturing the effect of rapid mixture ratio changes on component mobility and elution time, thereby maintaining calculation accuracy even under high-productivity gradient conditions.
3Manufacturing precision
If the elution time is extended to improve separation, then the separation quality is improved, but the productivity decreases
Solution Approach 1:
The patent applies preliminary action by pre-calculating and storing the rate of change parameter (a) and the quadratic coefficient (b) before the elution process. This allows the system to quickly determine optimal elution times using the quadratic mobility model without requiring extended experimental trials, thereby achieving high separation quality while maintaining productivity through efficient predictive calculation.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach allows for precise calculation of elution times and solvent mixture ratios, enhancing the separation and refinement of components by accurately reflecting the mixture ratio changes, thereby enabling optimal column selection and shorter yet effective elution times for component separation.
Implementation Method 1
a sample having a plurality of components and an eluent made up of solvents mixed in a predetermined mixture ratio and equivalent to a mobile phase are flown. In this regard, the sample flowing into the column together with the eluent adheres to the stationary phase filling the column
Data Source
AI summary
Provided that elapsed time from the start of the flow-in of an eluent into a column is t0 and the mobility Rfc(t/t0) of a component c in a sample is represented by a function of elapsed time t from the start of the flow-in of a sample into the column, elution time trc from the flow-in of the sample into the column to the flow-out of the component c from the column is calculated by using Equation (1). In doing so, the mobility Rfc(t/t0) in Equation (1) is represented by Equation (2).∫0trcRfc(tt0)d(tt0)=1(1)Rfc(tt0)=1-e-a(tt0)+b(2)