Enumeration by pólya's theorem of the isomerism in eight-coordinate complexes in square antiprismatic, triangular dodecahedral and hendecahedral (bicapped trigonal prismatic) geometries

Solid-state structural transformations in metal organic-inorganic hybrids constructed from terbium(iii) complexes and iodocuprate clusters

“…10 Isolated I 3 2 anions are not commonly observed in lanthanide halide chemistry, 8 and to the best of our knowledge, the derivatives trans-[LnI 2 (thf) 5 ][I 3 ] (Ln = Yb, La) 14 are the only known examples prior to this report. It should be noted that the dodecahedral geometry of terbium(III) centre observed 13 here in 4 is different from the distorted square prismatic geometry found in [Tb(DMSO) 8 ]I 3 (a). 11a The [Tb(DMF) 6 (H 2 O) 3 ] 3+ cation in 5 has a 9-coordinated terbium centre with a tricapped trigonal prismatic geometry.…”

Solid-state structural transformations in metal organic-inorganic hybrids constructed from terbium(iii) complexes and iodocuprate clusters

“…10 Isolated I 3 2 anions are not commonly observed in lanthanide halide chemistry, 8 and to the best of our knowledge, the derivatives trans-[LnI 2 (thf) 5 ][I 3 ] (Ln = Yb, La) 14 are the only known examples prior to this report. It should be noted that the dodecahedral geometry of terbium(III) centre observed 13 here in 4 is different from the distorted square prismatic geometry found in [Tb(DMSO) 8 ]I 3 (a). 11a The [Tb(DMF) 6 (H 2 O) 3 ] 3+ cation in 5 has a 9-coordinated terbium centre with a tricapped trigonal prismatic geometry.…”

Thermally Distinguishable Polyhedral Shapes in Chemistry: 6- and 7-Coordination

“…Previously, we have addressed the proliferation of stereoisomers in high coordination complexes by means of a rigorous combinatorial approach, using Pólya’s Enumeration Theorem. This theorem offers a powerful tool to tally the total number of stereoisomers of a mononuclear coordination compound − by considering each symmetry operation of a given shape of a CP. Accordingly, a cycle index polynomial is constructed that is representative of the symmetry elements of the geometric shape.…”

Novel heterometal-organic complexes as first single source precursors for up-converting NaY(Ln)F 4 (Ln = Yb, Er, Tm) nanomaterials

“…A tetrahydrofuran (THF) molecule on each yttrium centre ensures 8-coordination number and a bicapped trigonal prismatic geometry around the metal. 24 The Y-O (TFA) bond distances, which range from 2.275(9) to 2.342(9) A ˚, are in agreement with the body of literature on 8-coordinated yttrium complexes. 4), O9 iii -Na1-O12 93.9(4), O10 iii -Na1-O10 137.3 (6).…”

“…The four oxygen atoms of each triglyme ligand lie approximately in a plane and the planes of the two triglyme ligands are perpendicular to each other leading to a somewhat regular dodecahedral geometry for the sodium ion. 24 Similar wrapping by two glyme ligands in a perpendicular manner has been previously reported for some of the alkali and alkaline earth metal cations. 26 The Na-O (triglyme) bond lengths range from 2.529(13)-2.619(12) A ˚, the average distance (2.59 A ˚) being slightly longer than the Na-O (diglyme) distance in 1 (av.…”

Solid-state structural transformations in metal organic-inorganic hybrids constructed from terbium(iii) complexes and iodocuprate clusters

“…10 Isolated I 3 2 anions are not commonly observed in lanthanide halide chemistry, 8 and to the best of our knowledge, the derivatives trans-[LnI 2 (thf) 5 ][I 3 ] (Ln = Yb, La) 14 are the only known examples prior to this report. It should be noted that the dodecahedral geometry of terbium(III) centre observed 13 here in 4 is different from the distorted square prismatic geometry found in [Tb(DMSO) 8 ]I 3 (a). 11a The [Tb(DMF) 6 (H 2 O) 3 ] 3+ cation in 5 has a 9-coordinated terbium centre with a tricapped trigonal prismatic geometry.…”

Thermally Distinguishable Polyhedral Shapes in Chemistry: 6- and 7-Coordination

“…Previously, we have addressed the proliferation of stereoisomers in high coordination complexes by means of a rigorous combinatorial approach, using Pólya’s Enumeration Theorem. This theorem offers a powerful tool to tally the total number of stereoisomers of a mononuclear coordination compound − by considering each symmetry operation of a given shape of a CP. Accordingly, a cycle index polynomial is constructed that is representative of the symmetry elements of the geometric shape.…”

Novel heterometal-organic complexes as first single source precursors for up-converting NaY(Ln)F 4 (Ln = Yb, Er, Tm) nanomaterials

“…A tetrahydrofuran (THF) molecule on each yttrium centre ensures 8-coordination number and a bicapped trigonal prismatic geometry around the metal. 24 The Y-O (TFA) bond distances, which range from 2.275(9) to 2.342(9) A ˚, are in agreement with the body of literature on 8-coordinated yttrium complexes. 4), O9 iii -Na1-O12 93.9(4), O10 iii -Na1-O10 137.3 (6).…”

“…The four oxygen atoms of each triglyme ligand lie approximately in a plane and the planes of the two triglyme ligands are perpendicular to each other leading to a somewhat regular dodecahedral geometry for the sodium ion. 24 Similar wrapping by two glyme ligands in a perpendicular manner has been previously reported for some of the alkali and alkaline earth metal cations. 26 The Na-O (triglyme) bond lengths range from 2.529(13)-2.619(12) A ˚, the average distance (2.59 A ˚) being slightly longer than the Na-O (diglyme) distance in 1 (av.…”

Solid-state structural transformations in metal organic-inorganic hybrids constructed from terbium(iii) complexes and iodocuprate clusters

“…10 Isolated I 3 2 anions are not commonly observed in lanthanide halide chemistry, 8 and to the best of our knowledge, the derivatives trans-[LnI 2 (thf) 5 ][I 3 ] (Ln = Yb, La) 14 are the only known examples prior to this report. It should be noted that the dodecahedral geometry of terbium(III) centre observed 13 here in 4 is different from the distorted square prismatic geometry found in [Tb(DMSO) 8 ]I 3 (a). 11a The [Tb(DMF) 6 (H 2 O) 3 ] 3+ cation in 5 has a 9-coordinated terbium centre with a tricapped trigonal prismatic geometry.…”

Thermally Distinguishable Polyhedral Shapes in Chemistry: 6- and 7-Coordination

“…Previously, we have addressed the proliferation of stereoisomers in high coordination complexes by means of a rigorous combinatorial approach, using Pólya’s Enumeration Theorem. This theorem offers a powerful tool to tally the total number of stereoisomers of a mononuclear coordination compound − by considering each symmetry operation of a given shape of a CP. Accordingly, a cycle index polynomial is constructed that is representative of the symmetry elements of the geometric shape.…”

Novel heterometal-organic complexes as first single source precursors for up-converting NaY(Ln)F 4 (Ln = Yb, Er, Tm) nanomaterials

“…A tetrahydrofuran (THF) molecule on each yttrium centre ensures 8-coordination number and a bicapped trigonal prismatic geometry around the metal. 24 The Y-O (TFA) bond distances, which range from 2.275(9) to 2.342(9) A ˚, are in agreement with the body of literature on 8-coordinated yttrium complexes. 4), O9 iii -Na1-O12 93.9(4), O10 iii -Na1-O10 137.3 (6).…”

“…The four oxygen atoms of each triglyme ligand lie approximately in a plane and the planes of the two triglyme ligands are perpendicular to each other leading to a somewhat regular dodecahedral geometry for the sodium ion. 24 Similar wrapping by two glyme ligands in a perpendicular manner has been previously reported for some of the alkali and alkaline earth metal cations. 26 The Na-O (triglyme) bond lengths range from 2.529(13)-2.619(12) A ˚, the average distance (2.59 A ˚) being slightly longer than the Na-O (diglyme) distance in 1 (av.…”