Combinatorics of the double-dimer model

1,1’-Biaceanthrylene and 2,2'-Biaceanthrylene: Models for Linking Larger Polycyclic Aromatic Hydrocarbons via Five-Membered Rings

10.26434/chemrxiv.9209546.v1 ◽

2019 ◽

Author(s):

Yachu Du ◽

Kyle Plunkett

Keyword(s):

Polycyclic Aromatic Hydrocarbons ◽

Polycyclic Aromatic Hydrocarbon ◽

Aromatic Hydrocarbon ◽

Electronic Properties ◽

Aromatic Hydrocarbons ◽

Model Systems ◽

Redox Potentials ◽

Dimer Model ◽

Optical And Electronic Properties ◽

Polycyclic Aromatic

We show that polycyclic aromatic hydrocarbon (PAH) chromophores that are linked between two five-membered rings can access planarized structures with reduced optical gaps and redox potentials. Two aceanthrylene chromophores were connected into dimer model systems with the chromophores either projected outward (2,2’-biaceanthrylene) or inward (1,1’-biaceanthrylene) and the optical and electronic properties were compared. Only the planar 2,2’-biaceanthrylene system showed significant reductions of the optical gaps (1 eV) and redox potentials in relation to the aceanthrylene monomer.<br>

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1,1’-Biaceanthrylene and 2,2'-Biaceanthrylene: Models for Linking Larger Polycyclic Aromatic Hydrocarbons via Five-Membered Rings

10.26434/chemrxiv.9209546 ◽

2019 ◽

Author(s):

Yachu Du ◽

Kyle Plunkett

Keyword(s):

Polycyclic Aromatic Hydrocarbons ◽

Polycyclic Aromatic Hydrocarbon ◽

Aromatic Hydrocarbon ◽

Electronic Properties ◽

Aromatic Hydrocarbons ◽

Model Systems ◽

Redox Potentials ◽

Dimer Model ◽

Optical And Electronic Properties ◽

Polycyclic Aromatic

We show that polycyclic aromatic hydrocarbon (PAH) chromophores that are linked between two five-membered rings can access planarized structures with reduced optical gaps and redox potentials. Two aceanthrylene chromophores were connected into dimer model systems with the chromophores either projected outward (2,2’-biaceanthrylene) or inward (1,1’-biaceanthrylene) and the optical and electronic properties were compared. Only the planar 2,2’-biaceanthrylene system showed significant reductions of the optical gaps (1 eV) and redox potentials in relation to the aceanthrylene monomer.<br>

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Efficient Ni Based Catalysts for Hydrotreatment of Lignin Dimer Model Compounds to Cycloalkanes/Cycloalkanols

Reaction Chemistry & Engineering ◽

10.1039/d0re00379d ◽

2021 ◽

Author(s):

Changzhou Chen ◽

Dichao Wu ◽

Peng Liu ◽

Haihong Xia ◽

Minghao Zhou ◽

...

Keyword(s):

Noble Metal ◽

Low Cost ◽

Great Success ◽

Model Compounds ◽

Efficient Catalyst ◽

Dimer Model ◽

Catalytic Cleavage

Noble-metal catalytic cleavage of the ether bonds in lignin to obtain aromatic chemicals had achieved great success, and development of a low-cost and efficient catalyst was crucial. Herein, NixLay/CNT was...

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One-step catalytic hydrotreatment of lignin dimer model compounds to cycloalkane and cycloalcohol by spherical metal-organic framework derived NiLa bimetallic materials

Journal of the Energy Institute ◽

10.1016/j.joei.2021.08.012 ◽

2021 ◽

Vol 99 ◽

pp. 105-119 ◽

Cited By ~ 1

Author(s):

Changzhou Chen ◽

Peng Liu ◽

Minghao Zhou ◽

Jing Li ◽

Haihong Xia ◽

...

Keyword(s):

Metal Organic Framework ◽

Model Compounds ◽

Dimer Model ◽

Bimetallic Materials ◽

Metal Organic ◽

One Step ◽

Organic Framework

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Reduced density matrices and topological order in a quantum dimer model

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/19/14/145212 ◽

2007 ◽

Vol 19 (14) ◽

pp. 145212 ◽

Cited By ~ 4

Author(s):

Shunsuke Furukawa ◽

Grégoire Misguich ◽

Masaki Oshikawa

Keyword(s):

Topological Order ◽

Density Matrices ◽

Reduced Density Matrices ◽

Dimer Model ◽

Reduced Density

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Independence polynomial and matching polynomial of the Koch network

International Journal of Modern Physics B ◽

10.1142/s0217979215502343 ◽

2015 ◽

Vol 29 (32) ◽

pp. 1550234

Author(s):

Yunhua Liao ◽

Xiaoliang Xie

Keyword(s):

Lattice Gas ◽

Small World ◽

Partition Functions ◽

Complete Class ◽

Dimer Model ◽

Scale Free ◽

Matching Polynomial ◽

Independence Polynomial ◽

Classical Models ◽

Explicit Formulae

The lattice gas model and the monomer-dimer model are two classical models in statistical mechanics. It is well known that the partition functions of these two models are associated with the independence polynomial and the matching polynomial in graph theory, respectively. Both polynomials have been shown to belong to the “[Formula: see text]-complete” class, which indicate the problems are computationally “intractable”. We consider these two polynomials of the Koch networks which are scale-free with small-world effects. Explicit recurrences are derived, and explicit formulae are presented for the number of independent sets of a certain type.

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Dimers, orientifolds and anomalies

Journal of High Energy Physics ◽

10.1007/jhep02(2021)153 ◽

2021 ◽

Vol 2021 (2) ◽

Author(s):

Riccardo Argurio ◽

Matteo Bertolini ◽

Sebastián Franco ◽

Eduardo García-Valdecasas ◽

Shani Meynet ◽

...

Keyword(s):

Physical Properties ◽

Gauge Theories ◽

Geometric Properties ◽

Dimer Model ◽

Gauge Anomalies

Abstract We study 4d$$ \mathcal{N} $$ N = 1 gauge theories engineered via D-branes at orientifolds of toric singularities, where gauge anomalies are cancelled without the introduction of non-compact flavor branes. Using dimer model techniques, we derive geometric criteria for establishing whether a given singularity can admit anomaly-free D-brane configurations purely based on its toric data and the type of orientifold projection. Our results therefore extend the dictionary between geometric properties of singularities and physical properties of the corresponding gauge theories.

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