Am I permitted to republish the content contained in the ACerS-NIST Phase Equilibria Diagrams Search database?
Yes, but you must properly cite the source:   Phase Equilibria Diagrams Database (NIST Standard Reference Database 31), The American Ceramic Society and the National Institute of Standards and Technology, 2023. Figure Number(s) ____, ____;  www.nist.gov/srd/nist31.cfm .