![]() de Paula, Atkins’ Physical Chemistry, 7th ed. Equation (6) is utilized to describe the mixture of ideal gases 15 15. In an ideal solution, the mixing enthalpy is per definition zero. In chemical thermodynamics, such mixing scenarios are referred to as ideal solutions. (3), only purely random mixing scenarios can be described. At this point, it is evident that with w, as defined in Eq. van Ness, Understanding Thermodynamics ( McGraw-Hill, 1969), p. to compute the change in molar configurational entropy of HEAs and to define HEAs in terms of a critical-or threshold-entropy value. Boltzmann, Wissenschaftliche Abhandlungen, II Band ( Verlag von Johann Ambrosius Barth, Leipzig, 1909), pp. that the state distribution (of the gas in thermal equilibrium) is governed by the same mathematical laws as the lottery (“… gerade so wie im Lottospiele…”). Boltzmann furthermore states on page 120 14 14. To calculate the most probable state distribution of a gas in thermal equilibrium, Boltzmann utilizes n!/( w 0! w 1! …), see page 176, here n is the number of gas molecules and w i denotes molecules with different energies. Planck, Physik 4, 553 (1901), see Latter probability is obtained from the work of Boltzmann on the thermal equilibrium of gases on page 428. ![]() Planck defines on page 556 S N as the entropy of a system of resonators and W the probability that N resonators having the energy U N. Planck, Physik 4, 553 (1901), see citing Boltzmann's work from 1877 on the relationship between the second law of thermodynamics and probability theory of gases in thermal equilibrium 13 13. Finally, in light of these implications, the significance and the conveyed meaning of the term “high entropy ceramics” are critically appraised.īoltzmann's equation was originally published in the form S N = k log W + constįirst by Planck in 1901 12 12. Then, the origin of Boltzmann's equation is reviewed and the implications for application are discussed. Before significance and accuracy of the term “high entropy ceramics” can be analyzed, some of the definitions currently employed for high entropy alloys are revisited. The term “high entropy ceramics” is an adaptation from high entropy alloys, which were first reported in 2004. This Perspective is based on the content of an oral presentation at the International Conference of Metallurgical Coatings and Thin Films (ICMCTF) 2019 entitled “Hard coatings are hard-Is the entropy of high entropy ceramics high?,” in which the term “high entropy ceramics” was reflected. ![]()
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