Alliovalent Ions in Various Oxide Lattices
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1 The Intnl Conf 20th Anneversary ETH,Sept.4-6,2008 Valence Stability and Madelung Self-Site Site Potential of Alliovalent Ions in Various Oxide Lattices Masahiro YOSHIMURA (Tokyo Institute of Technology, Japan)
2 The latest 20 years are displayed Results found: 490 Sum of the Times Cited [?] : 8,009 Average Citations i per Item [?] : h-index [?] : 44
3 This was refered By R.Roy in his Orton lecture at Am.Ceram.Soc. 1976,Bull.Am. Ceram.Soc.(1976)
4 CeO 2 +(1/2)V 2 O 5 CeVO 4 +(1/4)O 2 Ce 3+ [V 5+ O 4 ] Cerium was reduced in air. TG-DTA curves for the reaction In air (Po 2 =0.21 atm) (Yoshimura 69) Zircon structure This compd does not decompose (oxidize) even under Po 2 >10 3 atm.
5 Ce 2 O 3 The relationship between the oxygen partial pressure and the composition of Cerium oxide. (a) 1000, 1100, and 1200 C; 8b) 1153, 1200, 1249, 1310, and 1130 C Kitayama, et al. ( 85) J. Solid State Chem.
6 Tem mperature e ( C) VO C 10-5 VO V 2 O 3 VO 2 V 2 P 5 VO V 2 O 5 phase diagram
7
8 Recent Papers on Valence Stability of Rare Earth Ions 1) Understanding of the Valency of Rare Earths from Firstprinciple Theory, P. Strange, A. Svane, W. M. Temmermann, Z. Szotek, and H Winter, Nature 399 (24 June 1999) ) Valence Stability of Lanthanide Ions in Inorganic Compounds, P. Dorenbos, Chem. Mater. 17 (2005) ) The Eu3+ Charge Transfer Energy and the Relation with the Band Gap of Compounds, P. Dorenbos, J. Lumin, 111 (2005) ) Stability of Rare Earth Oxychloride Phases: Bond Valence Study, J. Hölsä, M. Lahtinen, M. Lastusaari, J. Valkonen, and J. Vijanen, J. Solid State t Chem., 165 (2002) ) Critical Materials a Problems in Fuel Cells: SOFC S, S, H. Yokokawa, Oxford, April 02, 2007
9 Figure 4. E Ff for Eu 2+ in oxide, chloride, and sulfide compounds. The solid triangle symbols pertain to Eu on Ba 2+, Sr 2+, Ca 2+, or Mg 2+ sites and in addition to Eu in RbCl and KCl. The other data are the same data as in Figure 3 and pertain to Eu in trivalent rare earth oxide compounds. The box around date with E VC > 8 ev and E Ff < 0.7 ev contains alkaline carth compounds in which Eu 2+ can be obtained even under oxidizing conditions. P. Dorenbos, Chem. Mater. (2005) 17, 6452
10 H. Yokokawa (AIST, Japan), Apr. 2007
11 Enthalpy Diagram a for the reduction of rare earth (A) Manganates; a T. Nakamura a a (1985) AMnO 3 (s) = ½ A 2 O 3 (s) + MnO(s) + ¼ O 2 (g)
12 Energy Diagram for the Reaction: MO 3 (s) + O 2 (g) MO 2 (s) G r U: Lattice energy, D: Dissociation i energy, A: Electron affinity it H f : Standard formation enthalpy, I 4 : 4th Ionization energy 2 1 4
13 MO 3/2 + 1/2O 2 = MO 2 ΔG T=0 T=T MO 3/2 ΔG ΔGº(=ΔHº) MO 2
14 sublattice
15 Madelung Lattice Site Potentials in Europium Containing Oxide Compound structure Lattice site potential φ Eu φ M φ O EuO NaCl Eu 2+ EuTiO 3 Perovskite Eu 3 O 4 Eu 3 O / ~ Eu 2 O 3 B-type ~ ~1.507 EuFeO 3 Perovskite / Eu 3+ EuMnO 3 Perovskite /1.633 EuScO 3 Perovskite / Eu 2 Ti 2 O 7 Pyrochlore /1.640 EuPO 4 Zircon ~1.970
16 Madelung Lattice Site Potentials in Cerium Containing Oxide Ce 3+ Compound structure Lattice site potential φ Ce φ M φ O Ce 2 O 3 A-type /1.405 CeAlO 3 Perovskite /1.582 CeCrO 3 Perovskite CeGaO 3 Perovskite /1.547 CeVO 4 Zircon CeTaO 4 d-sheelite ~1.79 LiCeO 2 NaFeO /1.474 CeTa 3 O 9 Layered Perovskite / ~1.808 Ce 4+ CeO 2 Fluorite BaCeO 3 Perovskite SrCeO 3 Perovskite
17 ΦB ΦB ΦO ΦA ΦA ΦO VA Vo no perovskite -ΦB Site self-potential and Madelung constant For ideal Perovskite lattice, a = Å Φ ΦO ΦA 1.2 Ma=-a qipiφi 2k U=332(Ma/a)
18 U=Ne 2 qp 2k
19 1/2La 2 O 3 +1/2Al 2 O 3 LaAlO 3 ΔU=-35Kcal/mol Loss Site self potential change for the Gain formation of LaMO 3 from La 2 O 3 +M 2 O 3 Φ for Co 2 O 3 and Ni 2 O 3 in High-Spin & Low-Spin states are estimeated from ionic radii. Co 3+,Ni 3+ etc. stabilized by strong Φ M B-ion has a 6-coordination in LaMO 3 as well as in M 2 O 3 (MO 2, MO,..)
20 O SrO, Sr SrO Sr SrMO O SrMO3 O MO φ Sr & φ M /A SrO+MO 2 =SrMO M MO φ O / A Change of Lattice Site Potentials ti of Every Site in the Reacton SrO + MO 2 = SrMO Co Fe M SrMO3 3.2 Ti Mo Sn PbTb Ce a 0 of SrMO 3 /A
21 Lattice energy change in the formation of EuTiO 3 a) EuO + TiO 2 = Eu 2+ Ti 4+ O 3 + Q (-902) + (-3256) = (-4210) + (-52) (-4158) b) (1/2)Eu 2 O 3 +(1/2)Ti 2 O 3 =Eu 3+ Ti 3+ O 3 +Q (1/2)( 3570) + (1/2)( 4031) ( 3806) + ( 6) (1/2)(-3570) + (1/2)(-4031) = (-3806) + (-6) (-3800)
22 Perovskite eo Ce 3+ Fe 3+ O 3 Is not compativle with Ce 2 O 3 nor Fe 2 O 3!! FeO Fe 3 O 4 Fe 2 O 3 ( 85)
23 Summary (1) Valence stability is different in ternary systems from binary systems. X-P O2 T diagram in RO x X-y-P O2 T diagram in RM y O x (2) Valence stability is directly related to electrostatic lattice-site potential (φ), (3) for example: pqφ pq U = Ne 2 Σ Σ φ 2k 2k φ for Eu 2+, φ for Eu 3+ φ for Ce 3+, φ for Ce 4+ [kcal/mol] for φ [Å] (4) In perovskite (ABO 3 3) lattice, High valency state in B-site & difficult defect formation in B-site due to strong φ B potential. (5) CeO 2 may be reduced during the reaction with MO x when M is high valent, small ion and MO x -rich part. Oxysalt : Ce 3+ [MO y ] x
24 Thanking Prof. Sata Prof. Somiya Colleagues
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