This Short Review describes the world-wide dichotomy at the publication of mechanical materials' properties from pointed indentations, which is the most simple, rapid, and cheapest technique for obtaining these values. The dichotomy occurs when Materials' Scientists knowingly publish with "one hand" correct force versus correct h3/2 curves and with the "other hand" ISO-ASTM-14577 enforced mechanical parameters that violate the energy-law and iterate unphysical force versus h2 values relative values with 3 + 8 free parameters. That even though all analyses of worldwide loading curves follow exponent 3/2. They thus oppose against correct algebraic calculations. Only these reveal phase-transition onsets and mostly endothermic transition energies. These can be frozen out by indentations in liquid nitrogen where unexpectedly exothermic phase-transitions come to the fore by indentation. As negative polymorph energy content is thermodynamically poorly understood, an exciting epochal new field of research is opened.
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Gerd Kaupp (2024) studied this question.
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