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common water models (TIP3P, TIP4P, TIP5P, and SPC/E) and a reaction |
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field parametrized single point dipole water model (SSD/RF). The |
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extruded variant, Ice-{\it i}$^\prime$, was used in calculations |
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involving SPC/E, TIP4P, and TIP5P due to its enhanced stability with |
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these models. There is typically a small distortion of proton ordered |
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Ice-{\it i}$^\prime$ that converts the normally square tetramer into a |
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rhombus with alternating approximately 85 and 95 degree angles. The |
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degree of this distortion is model dependent and significant enough to |
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split the tetramer diagonal location peak in the radial distribution |
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function. |
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involving SPC/E, TIP4P, and TIP5P. These models exhibit enhanced |
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stability with Ice-{\it i}$^\prime$ because of their more |
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tetrahedrally arranged internal charge distributions. Additionally, |
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there is often a small distortion of proton ordered Ice-{\it |
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i}$^\prime$ that converts the normally square tetramer into a rhombus |
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with alternating approximately 85 and 95 degree angles. The degree of |
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this distortion is model dependent and significant enough to split the |
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tetramer diagonal location peak in the radial distribution function. |
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Thermodynamic integration was utilized to calculate the free energies |
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of the listed water models at various state points using a modified |
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This calculation method involves a sequence of simulations during |
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which the system of interest is converted into a reference system for |
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which the free energy is known analytically. This transformation path |
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is then integrated in order to determine the free energy difference |
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is then integrated, in order to determine the free energy difference |
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between the two states: |
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\begin{equation} |
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\Delta A = \int_0^1\left\langle\frac{\partial V(\lambda |
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each of the polymorphs studied assumes the role of the preferred |
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polymorph under different cutoff conditions. The inclusion of the |
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Ewald correction flattens and narrows the sequences of free energies |
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so much that they often overlap within error, indicating that other |
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conditions, such as cell volume in microcanonical simulations, can |
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such that they often overlap within error, indicating that other |
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conditions, such as the density in fixed volume simulations, can |
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influence the chosen polymorph upon crystallization. |
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So what is the preferred solid polymorph for simulated water? The |