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Nigam P. Rath - One of the best experts on this subject based on the ideXlab platform.

  • Synthesis, Spectroscopy, Structure, and Reactivity of Azapentadienyl-Rhodium-Phosphine and Azapentadienyl-Iridium-Phosphine Complexes1
    Organometallics, 2013
    Co-Authors: John R. Bleeke, Wipark Anutrasakda, Nigam P. Rath
    Abstract:

    We report the synthesis, spectroscopy, structure, and reactivity of (1,2,3-η3)-(5-tert-butylazapentadienyl)Rh(PMe3)x (1, x = 2; 4, x = 3) and (1,2,3-η3)-(5-tert-butylazapentadienyl)Ir(PEt3)x (7, x = 2; 12, x = 3), which are produced by reacting [(cyclooctene)2M(μ-Cl)]2 with the appropriate amount of phosphine, followed by potassium tert-butylazapentadienide. Each of these compounds reacts with 1 equivalent of triflic acid to produce a monoprotonation product. Rhodium compounds 1 and 4 react at nitrogen to produce 2 and 5, respectively. Iridium compound 7 reacts at the metal center, generating an iridium-hydride product, 8, in which the azapentadienyl ligand coordinates in an unusual η3, η1-fashion, while compound 12 reacts at nitrogen to produce 13. The monoprotonation products have been treated with additional acid, and in each case the secondary site of electrophilic addition has been determined. Rhodium compounds 2 and 5 both react with a second equivalent of triflic acid at the metal center to produce...

  • Synthesis, Spectroscopy, Structure, and Reactivity of Azapentadienyl-Rhodium-Phosphine and Azapentadienyl-Iridium-Phosphine Complexes1
    Organometallics, 2013
    Co-Authors: John R. Bleeke, Wipark Anutrasakda, Nigam P. Rath
    Abstract:

    We report the synthesis, spectroscopy, structure, and reactivity of (1,2,3-η3)-(5-tert-butylazapentadienyl)Rh(PMe3)x (1, x = 2; 4, x = 3) and (1,2,3-η3)-(5-tert-butylazapentadienyl)Ir(PEt3)x (7, x = 2; 12, x = 3), which are produced by reacting [(cyclooctene)2M(μ-Cl)]2 with the appropriate amount of phosphine, followed by potassium tert-butylazapentadienide. Each of these compounds reacts with 1 equivalent of triflic acid to produce a monoprotonation product. Rhodium compounds 1 and 4 react at nitrogen to produce 2 and 5, respectively. Iridium compound 7 reacts at the metal center, generating an iridium-hydride product, 8, in which the azapentadienyl ligand coordinates in an unusual η3, η1-fashion, while compound 12 reacts at nitrogen to produce 13. The monoprotonation products have been treated with additional acid, and in each case the secondary site of electrophilic addition has been determined. Rhodium compounds 2 and 5 both react with a second equivalent of triflic acid at the metal center to produce...

John R. Bleeke - One of the best experts on this subject based on the ideXlab platform.

  • Synthesis, Spectroscopy, Structure, and Reactivity of Azapentadienyl-Rhodium-Phosphine and Azapentadienyl-Iridium-Phosphine Complexes1
    Organometallics, 2013
    Co-Authors: John R. Bleeke, Wipark Anutrasakda, Nigam P. Rath
    Abstract:

    We report the synthesis, spectroscopy, structure, and reactivity of (1,2,3-η3)-(5-tert-butylazapentadienyl)Rh(PMe3)x (1, x = 2; 4, x = 3) and (1,2,3-η3)-(5-tert-butylazapentadienyl)Ir(PEt3)x (7, x = 2; 12, x = 3), which are produced by reacting [(cyclooctene)2M(μ-Cl)]2 with the appropriate amount of phosphine, followed by potassium tert-butylazapentadienide. Each of these compounds reacts with 1 equivalent of triflic acid to produce a monoprotonation product. Rhodium compounds 1 and 4 react at nitrogen to produce 2 and 5, respectively. Iridium compound 7 reacts at the metal center, generating an iridium-hydride product, 8, in which the azapentadienyl ligand coordinates in an unusual η3, η1-fashion, while compound 12 reacts at nitrogen to produce 13. The monoprotonation products have been treated with additional acid, and in each case the secondary site of electrophilic addition has been determined. Rhodium compounds 2 and 5 both react with a second equivalent of triflic acid at the metal center to produce...

  • Synthesis, Spectroscopy, Structure, and Reactivity of Azapentadienyl-Rhodium-Phosphine and Azapentadienyl-Iridium-Phosphine Complexes1
    Organometallics, 2013
    Co-Authors: John R. Bleeke, Wipark Anutrasakda, Nigam P. Rath
    Abstract:

    We report the synthesis, spectroscopy, structure, and reactivity of (1,2,3-η3)-(5-tert-butylazapentadienyl)Rh(PMe3)x (1, x = 2; 4, x = 3) and (1,2,3-η3)-(5-tert-butylazapentadienyl)Ir(PEt3)x (7, x = 2; 12, x = 3), which are produced by reacting [(cyclooctene)2M(μ-Cl)]2 with the appropriate amount of phosphine, followed by potassium tert-butylazapentadienide. Each of these compounds reacts with 1 equivalent of triflic acid to produce a monoprotonation product. Rhodium compounds 1 and 4 react at nitrogen to produce 2 and 5, respectively. Iridium compound 7 reacts at the metal center, generating an iridium-hydride product, 8, in which the azapentadienyl ligand coordinates in an unusual η3, η1-fashion, while compound 12 reacts at nitrogen to produce 13. The monoprotonation products have been treated with additional acid, and in each case the secondary site of electrophilic addition has been determined. Rhodium compounds 2 and 5 both react with a second equivalent of triflic acid at the metal center to produce...

Wipark Anutrasakda - One of the best experts on this subject based on the ideXlab platform.

  • Synthesis, Spectroscopy, Structure, and Reactivity of Azapentadienyl-Rhodium-Phosphine and Azapentadienyl-Iridium-Phosphine Complexes1
    Organometallics, 2013
    Co-Authors: John R. Bleeke, Wipark Anutrasakda, Nigam P. Rath
    Abstract:

    We report the synthesis, spectroscopy, structure, and reactivity of (1,2,3-η3)-(5-tert-butylazapentadienyl)Rh(PMe3)x (1, x = 2; 4, x = 3) and (1,2,3-η3)-(5-tert-butylazapentadienyl)Ir(PEt3)x (7, x = 2; 12, x = 3), which are produced by reacting [(cyclooctene)2M(μ-Cl)]2 with the appropriate amount of phosphine, followed by potassium tert-butylazapentadienide. Each of these compounds reacts with 1 equivalent of triflic acid to produce a monoprotonation product. Rhodium compounds 1 and 4 react at nitrogen to produce 2 and 5, respectively. Iridium compound 7 reacts at the metal center, generating an iridium-hydride product, 8, in which the azapentadienyl ligand coordinates in an unusual η3, η1-fashion, while compound 12 reacts at nitrogen to produce 13. The monoprotonation products have been treated with additional acid, and in each case the secondary site of electrophilic addition has been determined. Rhodium compounds 2 and 5 both react with a second equivalent of triflic acid at the metal center to produce...

  • Synthesis, Spectroscopy, Structure, and Reactivity of Azapentadienyl-Rhodium-Phosphine and Azapentadienyl-Iridium-Phosphine Complexes1
    Organometallics, 2013
    Co-Authors: John R. Bleeke, Wipark Anutrasakda, Nigam P. Rath
    Abstract:

    We report the synthesis, spectroscopy, structure, and reactivity of (1,2,3-η3)-(5-tert-butylazapentadienyl)Rh(PMe3)x (1, x = 2; 4, x = 3) and (1,2,3-η3)-(5-tert-butylazapentadienyl)Ir(PEt3)x (7, x = 2; 12, x = 3), which are produced by reacting [(cyclooctene)2M(μ-Cl)]2 with the appropriate amount of phosphine, followed by potassium tert-butylazapentadienide. Each of these compounds reacts with 1 equivalent of triflic acid to produce a monoprotonation product. Rhodium compounds 1 and 4 react at nitrogen to produce 2 and 5, respectively. Iridium compound 7 reacts at the metal center, generating an iridium-hydride product, 8, in which the azapentadienyl ligand coordinates in an unusual η3, η1-fashion, while compound 12 reacts at nitrogen to produce 13. The monoprotonation products have been treated with additional acid, and in each case the secondary site of electrophilic addition has been determined. Rhodium compounds 2 and 5 both react with a second equivalent of triflic acid at the metal center to produce...

Kazuki Sakata - One of the best experts on this subject based on the ideXlab platform.

Brian Tuomanen - One of the best experts on this subject based on the ideXlab platform.

  • riesz outer product hilbert space frames quantitative bounds topological properties and full geometric characterization
    Journal of Mathematical Analysis and Applications, 2016
    Co-Authors: Peter G Casazza, Eric Pinkham, Brian Tuomanen
    Abstract:

    Abstract Outer product frames are important objects in Hilbert space frame theory. But very little is known about them. In this paper, we make the first detailed study of the family of outer product frames induced directly by vector sequences. We are interested in both the quantitative attributes of these outer product sequences (in particular, their Riesz and frame bounds) and their independence and spanning properties. We show that Riesz sequences of vectors yield Riesz sequences of outer products with the same (or better) Riesz bounds. Equiangular tight frames are shown to produce Riesz sequences with optimal Riesz bounds for outer products. We provide constructions of frames which produce Riesz outer product bases with “good” Riesz bounds. We show that the family of unit norm frames which yield independent outer product sequences is open and dense (in a Euclidean-analytic sense) within the topological space ⊗ i = 1 M S N − 1 where M is less than or equal to the dimension of the space of symmetric operators on H N ; that is to say, almost every frame with such a bound on its cardinality will induce a set of independent outer products. Thus, this would mean that finding the necessary and sufficient conditions such that the induced outer products are dependent is a more interesting question. For the coup de grâce, we give a full analytic and geometric classification of such sequences which produce dependent outer products.

  • riesz outer product hilbert space frames quantitative bounds topological properties and full geometric characterization
    arXiv: Functional Analysis, 2014
    Co-Authors: Peter G Casazza, Eric Pinkham, Brian Tuomanen
    Abstract:

    Outer product frames are important objects in Hilbert space frame theory. But very little is known about them. In this paper, we make the first detailed study of the family of outer product frames induced directly by vector sequences. We are interested in both the quantitative attributs of these outer product sequences (in particular, their Riesz and frame bounds), as well as their independence and spanning properties. We show that Riesz sequences of vectors yield Riesz sequences of outer products with the same (or better) Riesz bounds. Equiangular tight frames are shown to produce Riesz sequences with optimal Riesz bounds for outer products. We provide constructions of frames which produce Riesz outer product bases with "good" Riesz bounds. We show that the family of unit norm frames which yield independent outer product sequences is open and dense (in a Euclidean-analytic sense) within the topological space $ \otimes_{i=1}^M S_{N - 1}$ where $M$ is less than or equal to the dimension of the space of symmetric operators on $\mathbb{H}^N$; that is to say, almost every frame with such a bound on its cardinality will induce a set of independent outer products. Thus, this would mean that finding the necessary and sufficient conditions such that the induced outer products are dependent is a more interesting question. For the coup de grace, we give a full analytic and geometric classification of such sequences which produce dependent outer products.