DOE OSTI2020
CeHfO4 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.38 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.36 Å. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.37 Å. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.38 Å. In the fifth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.39 Å. In the sixth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.37 Å. In the seventh Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.37 Å. In the eighth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.38 Å. There are eight inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the second Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the third Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.13–2.50 Å. In the fourth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the fifth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the sixth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.14–2.49 Å. In the seventh Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.34 Å. In the eighth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.20–2.34 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the second O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the third O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing OHf4 tetrahedra. In the fifth O2- site, O2- is bonded to four Ce4+ atoms to form OCe4 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the sixth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the seventh O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the eighth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the ninth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the tenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of edge and corner-sharing OHf4 tetrahedra. In the twelfth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the nineteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twentieth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twenty-first O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of edge and corner-sharing OHf4 tetrahedra. In the twenty-third O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Ce4+ atoms to form OCe4 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing OHf4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the thirtieth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the thirty-first O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the thirty-second O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra.