Equivariant invariants and linear geometry

2007 ◽  
pp. 317-388 ◽  
Author(s):  
Robert MacPherson
Keyword(s):  
Linear Geometry

On the Linear Geometry of Lanthanide Hydroxide (Ln—OH, Ln=La-Lu)

2019 ◽  
Author(s):  
Hassan Harb ◽  
Lee Thompson ◽  
Hrant Hratchian
Keyword(s):  
Triple Bond ◽  
Density Functional ◽  
Valence Electron ◽  
Density Functional Theory Calculations ◽  
Electron Configuration ◽  
Functional Theory ◽  
Key Species ◽  
Pi Orbitals ◽  
Lanthanide Hydroxide ◽  
Linear Geometry

Lanthanide hydroxides are key species in a variety of catalytic processes and in the preparation of corresponding oxides. This work explores the fundamental structure and bonding of the simplest lanthanide hydroxide, LnOH (Ln=La-Lu), using density functional theory calculations. Interestingly, the calculations predict that all structures of this series will be linear. Furthermore, these results indicate a valence electron configuration featuring an occupied sigma orbital and two occupied pi orbitals for all LnOH compounds, suggesting that the lanthanide-hydroxide bond is best characterized as a covalent triple bond.

On the Linear Geometry of Lanthanide Hydroxide (Ln—OH, Ln=La-Lu)

2019 ◽  
Author(s):  
Hassan Harb ◽  
Lee Thompson ◽  
Hrant Hratchian
Keyword(s):  
Triple Bond ◽  
Density Functional ◽  
Valence Electron ◽  
Density Functional Theory Calculations ◽  
Electron Configuration ◽  
Functional Theory ◽  
Key Species ◽  
Pi Orbitals ◽  
Lanthanide Hydroxide ◽  
Linear Geometry

Lanthanide hydroxides are key species in a variety of catalytic processes and in the preparation of corresponding oxides. This work explores the fundamental structure and bonding of the simplest lanthanide hydroxide, LnOH (Ln=La-Lu), using density functional theory calculations. Interestingly, the calculations predict that all structures of this series will be linear. Furthermore, these results indicate a valence electron configuration featuring an occupied sigma orbital and two occupied pi orbitals for all LnOH compounds, suggesting that the lanthanide-hydroxide bond is best characterized as a covalent triple bond.

scholarly journals The non-linear geometry of Banach spaces after Nigel Kalton

2014 ◽  
Vol 44 (5) ◽  
pp. 1529-1583 ◽  
Author(s):  
G. Godefroy ◽  
G. Lancien ◽  
V. Zizler
Keyword(s):  
Banach Spaces ◽  
Non Linear ◽  
Linear Geometry

Bis[μ-3,3′-dimethyl-3,3′-methylenebis(2,3-dihydro-1H-imidazole)]disilver(I)(Ag—Ag) dichloride hemihydrate

2006 ◽  
Vol 62 (7) ◽  
pp. m1565-m1566 ◽  
Author(s):  
Da-Qi Wang
Keyword(s):  
Title Compound ◽  
Carbene Ligands ◽  
Metal Interaction ◽  
Metal Metal ◽  
Linear Geometry

In the title compound, [Ag2(C9H12N4)2]Cl2·0.5H2O, each AgI atom is coordinated by two C atoms of two heterocyclic carbene ligands, displaying a nearly linear geometry. The Ag—Ag separation is quite long, indicating a very weak metal–metal interaction.

Discrete Linear Geometry on Grid System

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Linh Kieu Troung ◽  
Atsushi Imiya
Keyword(s):  
Grid System ◽  
Linear Geometry
Sign in / Sign up

Export Citation Format

Share Document