title: Preparation and structures of several complexes containing carbon-rich ligands attached to polynuclear metal carbonyls

authors: Bruce, Michael I.

subjects: polynuclear

abstract: Several new gold-containing cluster complexes have been prepared from the reactions of gold alkynyl complexes, L n M-C x -Au(PPh₃), (x = 3, 4, 6) with Ru₃(CO)₁₀(NCMe)₂. The bis-cluster complex 1,4-{AuRu₃(CO)₉(PPh₃)(μ₃-C₂)}₂C₆H₄ was obtained from Ru₃(CO)₁₀(NCMe)₂ and 1,4-{(Ph₃P)Au(C≡C)}₂C₆H₄. The complexes Ru₃(μ-H){μ₃-C₂C≡C[Ru(PP)Cp′]}(CO)₉ [PP = (PPh₃)₂, Cp′ = Cp; PP = dppe, Cp′ = Cp*] were also obtained as minor by-products and synthesised independently from Ru(C≡CC≡CH)(PP)Cp′. A reaction between Co₃{μ₃-CC≡CC≡CAu(PPh₃)}(μ-dppm)(CO)₇ and Ru₃(CO)₁₂ afforded {(Ph₃P)(OC)₉AuRu₃}C≡CC≡CC{Co₃(μ-dppm)(CO)₇} 7. Related complexes AuRu₃{μ₃-C₂C≡[M(CO)₂Tp]}(CO)₉(PPh₃) (M = Mo 8, W 9) were obtained from {Tp(OC)₂M}≡CC≡C{Au(PPh₃)}, while the mixed metal cluster complexes MoM₂(C₂Me)(CO)₈Tp (M = Ru 13, Fe 14) were obtained from M(≡CC≡CSiMe₃)(CO)₂Tp (M = Mo, W) with Fe₂(CO)₉ and Ru₃(CO)₁₂, respectively. Reactions of the Mo carbyne complex with Co₂(LL)(CO)₆ [LL = (CO)₂, μ-dppm] or nickelocene afforded complexes 15–17 in which Co₂ and Ni₂ fragments, respectively, had coordinated to the C≡C triple bond. XRD structural determinations of 7, 8, 14, 16 and {Tp(OC)₂W}≡CC≡CC≡{Co₃(μ-dppm)(CO)₇} (18-W) are reported.

text: Preparation and structures of several complexes containing carbon-rich ligands attached to polynuclear metal carbonyls Several new gold-containing cluster complexes have been prepared from the reactions of gold alkynyl complexes, L n M-C x -Au(PPh₃), (x = 3, 4, 6) with Ru₃(CO)₁₀(NCMe)₂. The bis-cluster complex 1,4-{AuRu₃(CO)₉(PPh₃)(μ₃-C₂)}₂C₆H₄ was obtained from Ru₃(CO)₁₀(NCMe)₂ and 1,4-{(Ph₃P)Au(C≡C)}₂C₆H₄. The complexes Ru₃(μ-H){μ₃-C₂C≡C[Ru(PP)Cp′]}(CO)₉ [PP = (PPh₃)₂, Cp′ = Cp; PP = dppe, Cp′ = Cp*] were also obtained as minor by-products and synthesised independently from Ru(C≡CC≡CH)(PP)Cp′. A reaction between Co₃{μ₃-CC≡CC≡CAu(PPh₃)}(μ-dppm)(CO)₇ and Ru₃(CO)₁₂ afforded {(Ph₃P)(OC)₉AuRu₃}C≡CC≡CC{Co₃(μ-dppm)(CO)₇} 7. Related complexes AuRu₃{μ₃-C₂C≡[M(CO)₂Tp]}(CO)₉(PPh₃) (M = Mo 8, W 9) were obtained from {Tp(OC)₂M}≡CC≡C{Au(PPh₃)}, while the mixed metal cluster complexes MoM₂(C₂Me)(CO)₈Tp (M = Ru 13, Fe 14) were obtained from M(≡CC≡CSiMe₃)(CO)₂Tp (M = Mo, W) with Fe₂(CO)₉ and Ru₃(CO)₁₂, respectively. Reactions of the Mo carbyne complex with Co₂(LL)(CO)₆ [LL = (CO)₂, μ-dppm] or nickelocene afforded complexes 15–17 in which Co₂ and Ni₂ fragments, respectively, had coordinated to the C≡C triple bond. XRD structural determinations of 7, 8, 14, 16 and {Tp(OC)₂W}≡CC≡CC≡{Co₃(μ-dppm)(CO)₇} (18-W) are reported.

year: 2008

title: Differential-Stäckel matrices

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: We show that additive separation of variables for linear homogeneous equations of all orders is characterized by differential-Stäckel matrices, generalizations of the classical Stäckel matrices used for multiplicative separation of (second-order) Schrödinger equations and additive separation of Hamilton–Jacobi equations. We work out the principal properties of these matrices and demonstrate that even for second-order Laplace equations additive separation may occur when multiplicative separation does not.

text: Differential-Stäckel matrices We show that additive separation of variables for linear homogeneous equations of all orders is characterized by differential-Stäckel matrices, generalizations of the classical Stäckel matrices used for multiplicative separation of (second-order) Schrödinger equations and additive separation of Hamilton–Jacobi equations. We work out the principal properties of these matrices and demonstrate that even for second-order Laplace equations additive separation may occur when multiplicative separation does not.

year: 1985-07

title: Case roles / relations and discourse relations: A Maori language-based perspective

authors: Whaanga, Hēmi

subjects: case grammar

abstract: The overall aim of this research project is to explore case roles/ relations and discourse relations (referred to in this thesis as 'intra-propositional relations' and 'interpropositional relations' respectively) from the perspective of the Maori language. 
The thesis begins with an outline of the scope of the research and the approaches and methods used (Chapter 1). This is followed by a critical review of selected literature on case roles/ relations (intra-propositional relations) (see Chapter 2) and discourse relations (inter-propositional relations) (see Chapter 3) where it is noted that some of the relational theories and models appear to lack descriptive and/or explanatory adequacy. 
In Chapter 4, two models (an intra-propositional relational model and an interpropositional relational model) are developed on the basis of the critical review in Chapters 2 and 3, and these models are applied to a written corpus of Maori language texts, the primary aim being to track the ways in which intra-propositional and interpropositional relations are signalled in Maori. 
In Chapter 5, l supplement the corpus-based findings reported in Chapter 4 by reexamining the findings of two earlier studies from the perspective of the models introduced in Chapter 4. One of these earlier studies, reported in the early 1980s, is concerned with the distribution of prepositions in Maori in relation to case roles/ relations (intra-propositional relations); the other, produced much more recently (in 2001) is concerned with the signalling in Maori of a selection of what are referred to in that Work as 'semantico-pragmatic relations' (inter-propositional relations). 
Chapter 6 provides an overview of the research and a summary of the findings, together with an indication of its limitations, possible areas of application, and suggestions for future research.

text: Case roles / relations and discourse relations: A Maori language-based perspective The overall aim of this research project is to explore case roles/ relations and discourse relations (referred to in this thesis as 'intra-propositional relations' and 'interpropositional relations' respectively) from the perspective of the Maori language. 
The thesis begins with an outline of the scope of the research and the approaches and methods used (Chapter 1). This is followed by a critical review of selected literature on case roles/ relations (intra-propositional relations) (see Chapter 2) and discourse relations (inter-propositional relations) (see Chapter 3) where it is noted that some of the relational theories and models appear to lack descriptive and/or explanatory adequacy. 
In Chapter 4, two models (an intra-propositional relational model and an interpropositional relational model) are developed on the basis of the critical review in Chapters 2 and 3, and these models are applied to a written corpus of Maori language texts, the primary aim being to track the ways in which intra-propositional and interpropositional relations are signalled in Maori. 
In Chapter 5, l supplement the corpus-based findings reported in Chapter 4 by reexamining the findings of two earlier studies from the perspective of the models introduced in Chapter 4. One of these earlier studies, reported in the early 1980s, is concerned with the distribution of prepositions in Maori in relation to case roles/ relations (intra-propositional relations); the other, produced much more recently (in 2001) is concerned with the signalling in Maori of a selection of what are referred to in that Work as 'semantico-pragmatic relations' (inter-propositional relations). 
Chapter 6 provides an overview of the research and a summary of the findings, together with an indication of its limitations, possible areas of application, and suggestions for future research.

year: 2006