Recent content by DLawless
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Isoelectric Point: Definition & Calculation
Seems, from what follows, you did understand: Yes. The issue is they aren't then constants. Chemical equilibrium ratios are not guaranteed to hold for individual groups within a molecule (as far as I know). Which means these 'constants' will actually vary with the degree of ionization of the... -
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Isoelectric Point: Definition & Calculation
I think I've a better handling on where this equation comes from. Was a little unintuitive. Question now is whether / to what extent, such a model is justifiable. This hits at the crux of the matter. Though both use stepwise constants, they are using different equilibrium constants from the... -
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Isoelectric Point: Definition & Calculation
I am looking to understand how isoelectric point is defined and calculated. I read the paper "Isoelectric Point Calculator" (Kozlowski 2016) which gives the definition found everywhere 'isoelectric point pI is the pH value at which the net charge of a macromolecule is zero, and therefore its... -
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Graduate Water Phase Diagram: Mathematically Modeling and Validating
Good point! That may explain the linear shape. What about the non-linear curved bits at high pressure (that you can see on the diagram you linked originally, or the one here https://scholar.harvard.edu/files/schwartz/files/9-phases.pdf on p4)? They don't necessarily appear to follow the... -
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Graduate Water Phase Diagram: Mathematically Modeling and Validating
Many other diagrams show a line, e.g. https://uh.edu/~jbutler/physical/chapter6notes.html, https://scholar.harvard.edu/files/schwartz/files/9-phases.pdf. I saw the diagram you mentioned too. I would like to know the mathematical model that leads to either of these. It doesn't appear to be... -
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Graduate Water Phase Diagram: Mathematically Modeling and Validating
I notice that water phase diagrams provided online always seem to show a rather linear behaviour for the solid-liquid boundary (and an extremely steep slope). How is this modeled mathematically? Say we use the Clapeyron equation with ΔH and ΔV_m being constant, as online example problems (meant...