Points lying on the hull (blue circles) indicate thermodynamically stable phases. Points lying above the hull are thermodynamically unstable with respect to phase separation. The boxed reactions...

Figure 1 Illustrating stability within a convex hull phase diagram. Note that for clarity, only ground-state phases at each composition are shown here. There could be many hypothetical non …

Jul 10, 2020 · In Fig. 8a, we plot a hypothetical convex hull phase diagram in blue, labeled “ground truth.”

This utility uses the qhull algorithm to create phase diagrams for arbitrary regions of phase space. Depending on the dimensionality of the requested phase diagram, different plots are made. 2 …

Figure 2 is an example of a calculated binary A-X phase diagram at 0 K and 0 atm. Binary phase diagrams show the complete convex hull for the system, where the y-axis is the formation …

Sep 24, 2021 · We use our proposed diagrams to visualize the transition of HEA solid-solutions from high-temperature stability to metastability upon quenching, and identify important …

Mar 17, 2023 · The convex hull is the smallest convex shape that can bound the Gibbs free energy curves. One can imagine pulling a string from below the Gibbs free energy curves. The …

Aug 22, 2024 · A phase diagram views the difference in Gibbs free energy and is in principal a function $\Delta G = \Delta G (p,T,\{x_i\})$, where $\{x_i\}$ are concentrations of all competing …

Jan 25, 2024 · Convex hull diagrams of the Ag–Au (top) and Cu–Ag (bottom) binary systems. Each convex hull is defined by the lower black tie-lines, while the green-shadowed regions up …

The convex hull diagram denotes the relative energy (shown as a color map) of a composition with respect to the lowest energy boundary of other phases or linear combinations of those …