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Questions about concentration calibration. #212

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bowensha-tudelft opened this issue Jan 16, 2025 · 1 comment
Open

Questions about concentration calibration. #212

bowensha-tudelft opened this issue Jan 16, 2025 · 1 comment

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@bowensha-tudelft
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Hi, I find a "*1000" in the last formula of paprika tutorial 1.

Image

Could you please explain the "*1000" here? Because I find in the original paper, it is said that concentration is already adjusted to 1 M so that we can compare simulation values to experimental ones. What is the unit of "280" here? Should it be M^-1 or anything else? If so, why should we "*1000"?

Thanks in advance for your clarification!

Best regards,
Bowen

@jset231
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jset231 commented Jan 16, 2025

Hi @bowensha-tudelft, I believe the experimental value is reported in micro Molar (uM), so it becomes 280 x 10^-3 M. But this is the Ka (association), and the Gibbs free energy equation is dG = -RT ln (Kd) = -RT ln (1/Ka). Then Kd = 1/(280 x 10^-3 M) = 280 x 10^3 M.

The reference to 1 M in the paper includes this in the APR calculation when we estimate the work of releasing the restraints in bulk water. Check out Equation (9) in the 2015 paper. The 1 M is the C^0 symbol, which is ~1661 in units of Angstrom^3.

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