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V. Focused Fundamental Research - EERE - U.S. Department of ...

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V.E.7 Predicting/Understanding New Li-ion Materials Using Ab Initio Atomistic Computational Methods (LBNL)<br />

Persson – LBNL<br />

results in a different response <strong>of</strong> the material when<br />

synthesized under different conditions.<br />

Approach<br />

The Persson group uses atomistic modeling to study<br />

the relevant thermodynamic and kinetic processes. The<br />

calculations are performed on the Lawrencium cluster at<br />

LBNL and at NERSC. In the case <strong>of</strong> the high voltage<br />

spinel we have used first-principles zero-temperature<br />

calculations and a coupled cluster expansion to establish<br />

the relationship between the cation order and the<br />

electrochemical signature <strong>of</strong> the materials.<br />

For the investigation on the Li-carbon system we are<br />

using a combination <strong>of</strong> DFT to describe the low<br />

temperature characteristics <strong>of</strong> the material as well as<br />

statistical mechanics to calculate the phase diagram and<br />

the Li chemical diffusivity and phenomenological models<br />

to capture the van der Waals interactions.<br />

Results<br />

Li x Ni 0.5 Mn 1.5 O 4 Spinel. As part <strong>of</strong> the high-voltage<br />

spinel focus group effort we have investigated the cation<br />

ordering influence on the stable ground states as a function<br />

<strong>of</strong> Li content in Li x (Ni 0.5 Mn 1.5 )O 4 . Previous work has<br />

shown that the voltage pr<strong>of</strong>ile is generally much more flat<br />

in the spinel where Ni (Mn) sits exclusively at 4b (12d)<br />

sites compared to the structure where both sites are<br />

occupied randomly by Ni or Mn. Our study unequivocally<br />

shows how the preferred Li-Vac arrangement is<br />

incommensurate with the cation ordering in the ordered<br />

spinel, which results in an absence <strong>of</strong> intermediate Li<br />

concentration ground states. However, for uniformly<br />

disordered spinel the cation arrangement accommodates<br />

the preferred Li-Vac arrangement, which is exhibited in a<br />

strong ground state at half lithiated composition. Figure V -<br />

207 shows the predicted voltage pr<strong>of</strong>iles for several cation<br />

orderings. The uniformly disordered (blue) corresponds to<br />

the highest entropy achievable and exhibits a strong<br />

ground state at x = 0.5. A perfectly ordered spinel (red) is<br />

expected to exhibit only a combination <strong>of</strong> the two end<br />

states at any Li content, devoid <strong>of</strong> any intermediate ground<br />

state as a function <strong>of</strong> lithium content.<br />

Li-Carbon. We have concluded our study <strong>of</strong> Li<br />

absorption on graphite surfaces. We have found, in<br />

agreement with experimental evidence, that the 0001<br />

surface is the most thermodynamically stable surface.<br />

More surprisingly we also found that Li does not absorb on<br />

the predominant 0001 surface, if that surface is defect-free.<br />

Furthermore, we have studied the Li absorption and<br />

intercalation as a function <strong>of</strong> increasing number <strong>of</strong> layers<br />

<strong>of</strong> graphene and Li content. The challenge has been to<br />

obtain the correct van der Waals interaction as a function<br />

<strong>of</strong> Li content, especially in the low lithiation regime. We<br />

have been exploring the Grimme formulation 24 <strong>of</strong> the van<br />

der Waals potential, which requires tuning to obtain the<br />

correct order <strong>of</strong> magnitude and dissipation, see Figure V - 208.<br />

Figure V - 207: The voltage pr<strong>of</strong>iles for ordered (red) and 4 different<br />

disordered’ (yellow, green, blue and magenta) versions <strong>of</strong> Lix(Ni0.5Mn1.5)O4.<br />

Figure V - 208: Tuning the Li-C absorption energy as a function <strong>of</strong> Li content<br />

using the Grimme vdW formulation.<br />

The Materials Project. To the conclusion <strong>of</strong> a<br />

milestone for 2011, we successfully launched the first<br />

Materials Project web site and database. The web site<br />

provides free searchable access to general materials<br />

properties covering >15,000 inorganic compounds and the<br />

number <strong>of</strong> compounds increases continuously. The site<br />

contains tools (‘apps’) designed to aid in materials design<br />

for specific application areas such as Li-ion battery<br />

technology. Figure V - 209 shows the announcement featuring<br />

many <strong>of</strong> the possible search capabilities <strong>of</strong> the web site –<br />

among them an example electrode material with its<br />

computed voltage pr<strong>of</strong>ile and oxygen evolution as a<br />

24 S. Grimme, J. Comp. Chem. 27, 1787 (2006).<br />

Energy Storage R &D 652 FY 2011 Annual Progress Report

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