Zintl phases and polar intermetallics including lithium atoms can offer not only a good opportunity to investigate the correlation among crystal structure, chemical bonding, and physical properties given the unique role of lithium acting as a "zwitter" ion, 1-3 but be considered as electrode materials for Li-ion batteries and as thermoelectric materials.4,5 Since a lithium atom can play a role as either a cation or an anion, various tetrelide phases containing lithium substitution or insertions have been synthesized, and their characteristics have been investigated using both experimental and theoretical approaches.
1-9During our recent research activities to investigate the influence of lithium substitution or intercalation for components in the polar intermetallic AE/RE-In-Ge (AE = alkalineearth metals, RE = rare-earth metals) system, we have serendipitously synthesized a quaternary compound BaLi 1.09(1) -In 0.91 Ge 2 adopting the BaAl 4 -type structure.9,10 The given crystal structure type is one of the most prominent structure types observed among binary MTr 4 (M = alkali-earth metals, rare-earth metals; Tr = tetrels) compounds and has already been studied elsewheres.11,12 Moreover, numerous ternary phases with different substitutions for anionic elements have also been successfully synthesized, 13-21 and the site-preference of anions within the 3-dimensional (3D) frameworks has been thoroughly studied in terms of geometric-as well as electronic-perspectives. 11,13,14,21 However, the researches for the quaternary BaAl 4 -type phases containing an additional anion substitution in the polyanionic frameworks have been limited mostly for transition-metal 22-24 containing compounds due to the allowable range of electron counts between 12-14 to form the BaAl 4 -type structure. In addition, the site-preference rules established based on numerous ternary compounds have not been applied to the cases of quaternary compounds including a lithium substitution.In this report, therefore, we focus more on the site-preference of three anions forming the 3D-polyanionic frameworks. For this purpose, we start from the parental binary structure BaIn 4 , 25 then two steps of anion substitutions by Ge and Li will be considered subsequently in terms of geometricand electronic-factors. Theoretical studies using tight-binding muffin-tin (TB-LMTO) method were also performed. Crystal orbital Hamilton population (COHP) curves as well as density of states (DOS) were interrogated in depth to understand the observed site-preference of anions and chemical bonding.
ExperimentalEach element in the stoichiometric ratio of 1:2:2:2 for Ba:Li:In:Ge was loaded in an one end-sealed Nb-tubing inside an argon-filled glove box. The other end of Nb-tubing was sealed by arc-welding under a partial argon atmosphere, then the tubing was subsequently sealed in a fused-silica jacket under vacuum to avoid any contact with oxygen during the reaction at the elevated temperature. The mixture of reactants was initially heated up to 950 °C by 200 °C/h, kept at th...