In addition, this new formula yields a mean relative error of 0.0005% within the commonly occurring temperature range (10°–40☌). In comparison with the International Association for the Properties of Water and Steam reference dataset, the mean relative errors from this new formula are only 0.001% and 0.006% for the saturation vapor pressure of water and of ice, respectively, within a wide range of temperatures from −100° to 100☌. This new formula is simple and easy to remember. In this study, a new formula has been developed by integrating the Clausius–Clapeyron equation. These formulas either are tedious or are not very accurate. A number of formulas are available for this calculation. This kind of unusual negative thermal expansion is related to strong, intermolecular forces, orientation-dependent, or interactions and it is observed in the form of molten silica.It is necessary to calculate the saturation vapor pressure of water and of ice for some purposes in many disciplines. It tends to expand and become less dense as it cools more.
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