First principles computer simulations of Li 10 GeP 2 S 12 and related lithium superionic conductors*
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1 First principles computer simulations of Li 10 GeP 2 S 12 and related lithium superionic conductors* N. A. W. Holzwarth Wake Forest University, Winston-Salem, NC, USA, Motivation and background information Structural optimization and energetic results Preliminary results on Li + migration mechanisms *Supported by NSF Grants DMR and DMR /27/2012 March 2012 APS 1
2 First principles computer simulations of Li 10 GeP 2 S 12 and related lithium superionic conductors* preliminary results N. A. W. Holzwarth Wake Forest University, Winston-Salem, NC, USA, Motivation and background information Structural optimization and energetic results Preliminary results on Li + migration mechanisms *Supported by NSF Grants DMR and DMR /27/2012 March 2012 APS 2
3 Motivation: Paper by N. Kayama, et. al in Nature Materials 10, (2011) 2/27/2012 March 2012 APS
4 Motivation: Paper by N. Kamaya, et. al in Nature Materials 10, (2011) R T LiPON 2/27/2012 March 2012 APS
5 Motivation: Paper by N. Kamaya, et. al in Nature Materials 10, (2011) Li 7 P S 11 R T 2/27/2012 March 2012 APS 5
6 Motivation: Paper by N. Kamaya, et. al in Nature Materials 10, (2011) Li 10 GeP 2 S 12 R T 2/27/2012 March 2012 APS 6
7 Other simulation studies on this material: Work by MIT group published in Dec dx.doi.org/ /cm200y Chem. Mater. 2012, 2, /27/2012 March 2012 APS 7
8 J. Electrochem. Soc. 12, (1977) 0.9 ev E A σ T = Ke E A / kt ½ Li SiO + ½ Li PO 0.5 ev 2/27/2012 March 2012 APS 8
9 1 Li GeS + Li PS 2/27/2012 March 2012 APS 9
10 Nature Materials 10, (2011) Li 10 1 GeP S Li 2 12 GeS + 2 Li PS Li 10 GeP 2 S 12 is a new material; not a solid solution of its constituents. 2/27/2012 March 2012 APS 10
11 Goals of computer simulations Study structural and chemical stability Compare Li 10 GeP 2 S 12 and Li 10 SiP 2 S 12 Investigate Li ion migration mechanisms Calculational methods used in this study: Calculations based on density functional theory with the local density approximation (LDA) using the Quantum Espresso and Abinit codes. USPP and PAW calculations compared Li ion migration energies estimated using the Nudged Elastic Band (NEB) method (Hinkleman et al J. Chem. Phys & 9978 (2000) using 2x2x1 supercell 2/27/2012 March 2012 APS 11
12 Constituents of Li 10 GeP 2 S 12 : α * - LiPS Pbcn H = 8.12 ev * β LiPS Pnma H = 8.28 ev * γ LiPS Pmn21 H = 8.6 ev S Li P Ge Li GeS Pnma H = ev ** *K. Homma et al, Solid State Ionics 182, 5-58 (2011) **M. Murayama et al, Solid State Ionics , (2002) 2/27/2012 March 2012 APS 12
13 Li 10 GeP 2 S 12 Space group P 2 /nmc (#17) (from experiment) c b a b S Li P Ge c a 2/27/2012 March 2012 APS 1
14 Lattice parameters a (Å) c (Å) Li 10 GeP 2 S 12 (exp*) Li 10 GeP 2 S 12 (Calc) Li 10 SiP 2 S 12 (Calc) *Kamaya et al, Nature Materials 10, (2011) Experimentally determined symmetry (fractional occupancy): Space group P 2 /nmc (#17) Optimized structure with full occupancy:* Space group P 2 mc (#105) ( x, y, z) ( y, x, z) *Determined using FINDSYM written by Stokes, Campbell, and Hatch at Brigham Young U. 2/27/2012 March 2012 APS 1
15 Experiment structure: Space group P 2 /nmc (#17) Atom g x y z Li(1) 16h Li(2) d Li() 8f Ge(1) d P(1) d Ge(2) 2b P(2) 2b S(1) 8g S(2) 8g S() 8g Calculated structure: Space group P 2 mc (#105)* Atom g x y z Li(1) 8f Li(2) 2a/2b Li() 8f Ge(1) 2b P(1) 2a P(2) 2c S(1) d/e S(2) d/e S() d/e *Wyckoff symbols for #105, coordinates in #17 convention. 2/27/2012 March 2012 APS 15
16 Decomposition reactions predicted on the basis of calculated enthalpies of formation (at zero temperature) Li + Li 10SiP2S12 2LiPS + LiSiS 10GeP2S 12 2LiPS LiGeS Li + Li 1SiPS 16 LiPS + LiSiS 1GePS 16 LiPS LiGeS H (ev) Preliminary results for formation enthalpies from zero-temperature simulations predict all of the compounds to be unstable with respect to their constituents. 2/27/2012 March 2012 APS 16
17 Possible Li ion vacancy migrations in Li 10 GeP 2 S 12 c a 2/27/2012 March 2012 APS 17
18 Possible Li ion vacancy migrations in Li 10 GeP 2 S /27/2012 March 2012 APS 18
19 Possible Li ion vacancy migrations in Li 10 GeP 2 S 12 1 Vacancy site energies (ev) /27/2012 March 2012 APS 19
20 Possible Li ion vacancy migrations in Li 10 GeP 2 S 12 & Li 10 SiP 2 S Preliminary NEB results for Li ion migration 2 Li 10 SiP 2 S 12 Li 10 GeP 2 S 12 2/27/2012 March 2012 APS 20
21 Summary of preliminary results and conclusions Found (meta) stable structures for both Li 10 GeP 2 S 12 and Li 10 SiP 2 S 12 ; ordered structure has space group P 2 mc instead of experimental structure with partial occupancies P 2 /nmc Both Li 10 GeP 2 S 12 and Li 10 SiP 2 S 12 are calculated to be unstable with respect to decomposition into constituents; implying that either there is a kinetic barrier favoring the new materials or there are other stabilizing mechanisms. Preliminary NEB results suggest E m = 0.5 ev for both materials vacancy migrations along the c-axis. Migration along the a-axis is ~0.2 ev higher for Li 10 SiP 2 S 12. Further work need to verify these preliminary results and to consider interstitial sites. 2/27/2012 March 2012 APS 21
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