Periodic Systems of Molecular States from the Boson Group Dynamics of SO(3) × SU(2)s

Carlson, C. M.; Hefferlin, Ray; Zhuvikin, G. V.

doi:10.1021/ci9500748

Cited by 9 publications

(5 citation statements)

References 4 publications

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“…Since the 1970s, Hefferlin ,,, proposed several mini-periodic tables for some diatomic oxides and halides. Periodic evolution of some relevant molecular properties is revealed. , Kamal also found several periodic behaviors for homonuclear diatomic molecules. In 1982, Kong proposed a concise periodic table for diatomic molecules.…”

Section: Introductionmentioning

confidence: 85%

Periodicity of Quadrilateral Tetra-Atomic Molecules

Kong

Liu

2019

J. Phys. Chem. A

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We propose a periodic table for quadrilateral tetra-atomic molecules. Each molecule consists of four atoms, and the geometric shapes of these molecules are studied by ab initio calculations. It is found that by increasing the valence electron numbers, strong periodicity appears with many molecular properties. The periodic table for the quadrilateral tetra-atomic molecules is considered as an extension of Mendeleev’s periodic table. It can also be used for estimating the unknown properties of tetra-atomic molecules.

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Section: Introductionmentioning

confidence: 85%

Periodicity of Quadrilateral Tetra-Atomic Molecules

Kong

Liu

2019

J. Phys. Chem. A

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“…Hefferlin 等 [7,8] 根据群论来分类分子并且运用群动力学去关联分子的性质, 但是其分子结构和分子的性质之间的因果关系不清晰. 最近, Kamal 指出对于许多同核二原子分子而言, 所计算出来的若干性质随着组成原子的原子序数呈现出周期性的变化特征 [9] .…”

Section: 引言unclassified

二原子分子和三原子分子的周期表

孔¹,

吴²

2012

Sci. Sin.-Chim

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The Mendeleev periodic table of atoms is one of the most important principles in natural science. However, there is shortage of analog for molecules. Here we propose two periodic tables, one for diatomic molecules and one for triatomic molecules. The form of the molecular periodic tables is analogous to that of Mendeleev periodic table of atoms. In the table, molecules are classified and arranged by their group number G, which is the number of valence electrons, and the periodic number P, which represents the size of the molecules. The basic molecular properties, including bond length, binding energy, force constant, ionization potential, spin multiplicity, chemical reactivity, and bond angle, change periodically within the tables. The periodicities of diatomic and triatomic molecules are thus revealed. We also demonstrate that the periodicity originates from the shell-like electronic configurations of the molecules. The periodic tables not only contain free molecules, but also the "virtual" molecules present in polyatomic molecules. The periodic tables can be used to classify molecules, to predict unknown molecular properties, to understand the role of virtual molecules in polyatomic molecules, and to initiate new research fields, such as the periodicities of aromatic species, clusters, or nanoparticles. The tables should be of interest not only to scientists in a variety of disciplines, but also to undergraduates studying natural sciences.

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“…(5). All the multiplets for diatomic and triatomic molecules were derived, i.e., the complete periodic systems (in this group representation) were built [38], and all the molecular symbols in the multiplets for diatomic species are presented on two wall charts [39]. Additional important results come from theorems relating various ways of writing equations for observables [35].…”

Section: The Group Dynamic Classification Provides Theoretical Suppormentioning

confidence: 99%

Kronecker-Product Periodic Systems of Small Gas-Phase Molecules and the Search for Order in Atomic Ensembles of Any Phase

Hefferlin¹

2008

CCHTS

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The periodic law, manifested in the chart of the elements, is so fundamental in chemistry and related areas of physics that the question arises "Might periodicity among molecules also be embodied in a periodic system?" This review paper details how a particular periodic system of gas-phase diatomic molecules, allowing for the forecasting of thousands of new data, was developed. It can include ionized and even quarked-nuclei molecules and it coincides with locality (averaging) and the additivity found in some data; it has interesting vector properties, and it may be related in challenging ways to partial order. The review then explains how periodic systems for triatomic and four-atomic species are evolving along a similar path. The systems rest largely upon exhaustive comparisons of tabulated data, relate to some extent to the octet rule, and include reducible representations of the dynamic group SO(4) in higher spaces. Finally, the paper shows how periodicity can be quantified in data for larger molecules. Data for properties of homologous or substituted molecules, in any phase, are quantified with a vector index, and the index for one set can be transformed into that for another set.

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Periodic Systems of Molecular States from the Boson Group Dynamics of SO(3) × SU(2)_s

Cited by 9 publications

References 4 publications

Periodicity of Quadrilateral Tetra-Atomic Molecules

Periodicity of Quadrilateral Tetra-Atomic Molecules

二原子分子和三原子分子的周期表

Kronecker-Product Periodic Systems of Small Gas-Phase Molecules and the Search for Order in Atomic Ensembles of Any Phase

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