“…11 By establishing a linear trend between disorder energy and temperature, Stanek and Grimes 15 compared disorder energies to phase diagram data, and predicted the possibilities of Dy 2 Hf 2 O 7 , Ho 2 Hf 2 O 7 , and Er 2 Hf 2 O 7 formation. 6,13,[23][24][25] In this work, first-principles calculations based on density functional theory ͑DFT͒ have been performed on A 2 Hf 2 O 7 ͑A = Dy, Ho, Er͒ within the framework of generalized gradient approximation ͑GGA͒. 6,13,[23][24][25] In this work, first-principles calculations based on density functional theory ͑DFT͒ have been performed on A 2 Hf 2 O 7 ͑A = Dy, Ho, Er͒ within the framework of generalized gradient approximation ͑GGA͒.…”