Table 1 Predicted ground states, relative energetics, and lattice constants of the three single spinels along with previously reported experimental and theoretical DFT data.

From: Prediction of structure and cation ordering in an ordered normal-inverse double spinel

AB2O4

This study (DFT-PBE)

Past theory (DFT-LDA)

Experiments

Spinel

Ground

ΔE

a

c

Ground

a

c

Ground

a

Chemistry

state (0 K)

eV/f.u.

(Å)

(Å)

state (0 K)

(Å)

(Å)

state (RT)

(Å)

MgAl2O4

Normal (\(Fd\bar{3}m\))

    0.192

8.171

 

Normal (\(Fd\bar{3}m\))

8.034

 

Normal

8.083

MgGa2O4

Inverse (P4122)

−0.077

8.393

8.388

Inverse (P4122)

8.212

8.200

Intermediate

8.280

MgIn2O4

Inverse (P4122)

−0.092

8.971

8.978

Inverse (P4122)

8.794

8.803

Inverse

8.810

  1. The experimental structures and lattice constants are from ref. 61, while the theoretical results, computed with the local density approximation (LDA) to the exchange correlations functional within DFT, are from ref. 31. A positive (negative) ΔE represents that the normal (inverse) spinel structure is more stable.