Clathrate formation in the systems Ba-Ir-Ge and Ba-{Rh, Ir}-Si: Crystal chemistry and phase relations
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Phase relations in the {Si,Ge}-rich part of the three systems Ba-Ir-Ge and Ba-{Rh,Ir}-Si were investigated by means of X-ray single crystal (SC) and powder diffraction (XPD), EPMA and DTA measurements. For Ba-Ir-Ge, partial isothermal sections were constructed at 800?¡ãC and 700?¡ãC. The clathrate solid solution extends from binary Ba8Ge43¡õ3 to Ba8Ir0.4Ge43¡õ2.6 with a slightly enlarged lattice parameter a?=?2.13402(2)?nm (, Ba8Ge43¡õ3-type). Two new ternary stoichiometric compounds were found and their crystal structures were determined by X-ray diffraction: ¦Ó1-BaIr2Ge7 (Pmna, own type, a?=?3.7782(1), b?=?0.64099(2), c?=?0.64401(2)?nm; RF?=?0.0331, SC-data) and ¦Ó2-Ba3Ir4Ge16 (P4/mmm, Ba3Rh4Ge16-type, a?=?0.653948(6), c?=?2.22849(3)?nm; RF?=?0.0388, XPD-Rietveld analysis).

The isothermal sections of the Ba-{Rh,Ir}-Si systems were investigated at 950?¡ãC. Whereas in the Ba-Rh-Si system a clathrate-type I solid solution ¦ÊI-Ba8RhxSi46?x extends within 2.6?¡Ü?x?¡Ü?2.9, the corresponding clathrate-I phase in the Ba-Ir-Si system, ¦ÊI-Ba8Ir1.8Si44.2 (, Na4Si23-type, a?=?1.0346(1) nm), is not stable at this temperature, but was clearly observed in the as cast state.

The analysis of temperature dependent atomic displacement parameters (100-300?K) of guest and framework atoms for ¦ÊI-Ba8IrxGe46?x?y¡õy revealed Debye (¦ÈD) and Einstein (¦ÈE) temperatures of ¦ÈD?=?244?K, ¦ÈE,11?=?85?K, and ¦ÈE,22,33?=?64?K proving the rattling nature of the Ba-atoms in the large Ge-based tetrakaidecahedral cages. A similar analysis for ¦ÊI-Ba8RhxSi46?x yields significantly higher Debye?and Einstein temperatures, ¦ÈD?=?508?K, ¦ÈE,11?=?115?K, ¦ÈE,22,33?=?99?K, i.e. a tight bonding of Ba-atoms to the smaller Si-based cages. This behavior is further reflected by the pronounced difference in the thermal expansion coefficients: ¦Á100-300 K?=?13.7?¡Á?10?6?K?1 (¦ÊI-Ba8IrxGe46?x?y¡õy) and ¦Á100-300 K?=?7.3?¡Á?10?6?K?1 (¦ÊI-Ba8RhxSi46?x).

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