DOI: 10.17188/1732666
title: Materials Data on Zr3NbAl12 by Materials Project

description: Zr3NbAl12 is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are three inequivalent Zr sites. In the first Zr site, Zr is bonded to twelve Al atoms to form ZrAl12 cuboctahedra that share corners with four equivalent AlZr4Al8 cuboctahedra, corners with eight ZrAl12 cuboctahedra, edges with four equivalent ZrAl12 cuboctahedra, edges with sixteen AlZr4Al8 cuboctahedra, faces with five ZrAl12 cuboctahedra, and faces with thirteen AlZr4Al8 cuboctahedra. There are a spread of Zr–Al bond distances ranging from 2.82–3.02 Å. In the second Zr site, Zr is bonded to twelve Al atoms to form ZrAl12 cuboctahedra that share corners with four equivalent AlNb4Al8 cuboctahedra, corners with eight ZrAl12 cuboctahedra, edges with four equivalent NbAl12 cuboctahedra, edges with twenty AlZr4Al8 cuboctahedra, faces with five ZrAl12 cuboctahedra, and faces with nine AlZr4Al8 cuboctahedra. There are a spread of Zr–Al bond distances ranging from 2.82–3.00 Å. In the third Zr site, Zr is bonded to twelve Al atoms to form ZrAl12 cuboctahedra that share corners with four equivalent ZrAl12 cuboctahedra, corners with four equivalent NbAl12 cuboctahedra, corners with four equivalent AlZr4Al8 cuboctahedra, edges with four equivalent ZrAl12 cuboctahedra, edges with twenty AlZr2Nb2Al8 cuboctahedra, a faceface with one NbAl12 cuboctahedra, faces with four equivalent ZrAl12 cuboctahedra, and faces with thirteen AlZr2Nb2Al8 cuboctahedra. There are a spread of Zr–Al bond distances ranging from 2.82–3.03 Å. Nb is bonded to twelve Al atoms to form NbAl12 cuboctahedra that share corners with four equivalent ZrAl12 cuboctahedra, corners with four equivalent NbAl12 cuboctahedra, edges with four equivalent ZrAl12 cuboctahedra, edges with twenty AlZr4Al8 cuboctahedra, a faceface with one ZrAl12 cuboctahedra, faces with four equivalent NbAl12 cuboctahedra, and faces with twelve AlZr2Nb2Al8 cuboctahedra. There are a spread of Nb–Al bond distances ranging from 2.81–2.96 Å. There are eight inequivalent Al sites. In the first Al site, Al is bonded to four Zr and eight Al atoms to form distorted AlZr4Al8 cuboctahedra that share corners with twelve AlZr2Nb2Al8 cuboctahedra, edges with eight ZrAl12 cuboctahedra, edges with twelve AlZr4Al8 cuboctahedra, faces with four ZrAl12 cuboctahedra, and faces with twelve AlZr4Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.82–2.95 Å. In the second Al site, Al is bonded to two equivalent Zr, two equivalent Nb, and eight Al atoms to form distorted AlZr2Nb2Al8 cuboctahedra that share corners with twelve AlZr4Al8 cuboctahedra, edges with four equivalent ZrAl12 cuboctahedra, edges with four equivalent NbAl12 cuboctahedra, edges with sixteen AlZr4Al8 cuboctahedra, faces with two equivalent ZrAl12 cuboctahedra, faces with two equivalent NbAl12 cuboctahedra, and faces with fourteen AlZr2Nb2Al8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.82–2.96 Å. In the third Al site, Al is bonded in a distorted rectangular see-saw-like geometry to four equivalent Zr and eight Al atoms. All Al–Al bond lengths are 2.99 Å. In the fourth Al site, Al is bonded to four equivalent Zr and eight Al atoms to form distorted AlZr4Al8 cuboctahedra that share corners with four equivalent ZrAl12 cuboctahedra, corners with eight AlZr4Al8 cuboctahedra, edges with four equivalent NbAl12 cuboctahedra, edges with twenty AlZr4Al8 cuboctahedra, faces with five ZrAl12 cuboctahedra, and faces with thirteen AlZr2Nb2Al8 cuboctahedra. All Al–Al bond lengths are 2.93 Å. In the fifth Al site, Al is bonded to four equivalent Nb and eight Al atoms to form AlNb4Al8 cuboctahedra that share corners with four equivalent ZrAl12 cuboctahedra, corners with eight AlNb4Al8 cuboctahedra, edges with four equivalent ZrAl12 cuboctahedra, edges with sixteen AlZr2Nb2Al8 cuboctahedra, a faceface with one ZrAl12 cuboctahedra, faces with four equivalent NbAl12 cuboctahedra, and faces with thirteen AlZr2Nb2Al8 cuboctahedra. All Al–Al bond lengths are 2.87 Å. In the sixth Al site, Al is bonded to four equivalent Zr and eight Al atoms to form distorted AlZr4Al8 cuboctahedra that share corners with four equivalent ZrAl12 cuboctahedra, corners with four equivalent AlZr4Al8 cuboctahedra, edges with four equivalent ZrAl12 cuboctahedra, edges with twenty AlZr4Al8 cuboctahedra, faces with five ZrAl12 cuboctahedra, and faces with twelve AlZr4Al8 cuboctahedra. All Al–Al bond lengths are 2.94 Å. In the seventh Al site, Al is bonded to two equivalent Zr, two equivalent Nb, and eight Al atoms to form AlZr2Nb2Al8 cuboctahedra that share corners with twelve AlZr4Al8 cuboctahedra, edges with four equivalent ZrAl12 cuboctahedra, edges with four equivalent NbAl12 cuboctahedra, edges with twelve AlZr4Al8 cuboctahedra, faces with two equivalent ZrAl12 cuboctahedra, faces with two equivalent NbAl12 cuboctahedra, and faces with twelve AlZr4Al8 cuboctahedra. All Al–Al bond lengths are 2.82 Å. In the eighth Al site, Al is bonded to four Zr and eight Al atoms to form AlZr4Al8 cuboctahedra that share corners with twelve AlZr2Nb2Al8 cuboctahedra, edges with eight ZrAl12 cuboctahedra, edges with sixteen AlZr4Al8 cuboctahedra, faces with four ZrAl12 cuboctahedra, and faces with fourteen AlZr4Al8 cuboctahedra. All Al–Al bond lengths are 2.82 Å.