The Periodics Systems of Molecules

Hefferlin, Ray

doi:10.1007/1-4020-3261-7_12

Cited by 6 publications

(3 citation statements)

References 21 publications

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“…In this scale, entities (atoms) and their properties ( Table 5 ) are relatively well understood and the number of entities in this scale is reasonably stable, albeit still expanding slowly, after a burst of discoveries in the last two centuries ( Scerri, 2019 ; Karol et al., 2016 ). Furthermore, attempts have been made recently to formulate periodic tables for diatomic and triatomic molecules ( Hefferlin and Kuhlman, 1980 ; Hefferlin et al., 1983 ; Kong and Wu, 2012 ) and periodicity in n-atomic molecules has also been contemplated ( Dias, 1984 ; Hefferlin, 2006 ). These works show that at lower molecular weight range, scales can be similarly defined as that for atoms.…”

Section: Resultsmentioning

confidence: 99%

Patterns of basic knowledge

Tseng¹

2022

iScience

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Section: Resultsmentioning

confidence: 99%

Patterns of basic knowledge

Tseng¹

2022

iScience

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“…[16] Kibler, of l'Universite Claude Bernard Lyon I, has shown how group theory undergirds atomic and fundamental-particle periodicity [17,18] and how q-deformed groups reproduce the shell structures of neutral atoms, of positive ions, and of hydrogen-like ions depending on the value of q. [19] …”

Section: Discussionmentioning

confidence: 99%

Why do molecules echo atomic periodicity?

Hefferlin¹,

Sackett²,

Tatum

2013

Int. J. Quantum Chem.

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Franck-Condon factors are investigated for sequences of free main-group diatomic molecules. Theory-based Condon loci (parabolas) and Morse-potential loci are plotted on Deslandres tables to verify if they, indeed, follow the largest Franck-Condon factors. Then, the inclination angles of the Condon loci are determined. Thus, entire band systems are quantified by one variable, the angle. For all available isoelectronic sequences, this angle increases from a central minimum toward magic-number molecular boundaries. The theory for the Condon locus gives the angle in terms of the ratio of the upper-state to the lowerstate force constants. It is concluded that the periodicity is caused due to the fact that this ratio becomes larger as rare-gas molecules are approached, a trend that probably points to the extreme cases of the rare-gas molecules themselves. Thus, molecular periodicity echoes atomic periodicity in that data plots have extrema at molecules with magic-number atoms, yet it does not echo the details of atomic periodicity in series between those molecules.

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“…In fundamental-particle group dynamics, quarks are combined to explain the existence of mesons and baryons (together known as hadrons). Considering multiplets with three or more quarks (or antiquarks) as basis vectors, multiplets of hadron basis vectors can be obtained by using the same techniques. , The diagrams often used to illustrate the process are actually periodic systems of quarks and hadrons …”

Section: Introductionmentioning

confidence: 99%

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

Carlson

Hefferlin

Zhuvikin

1996

J. Chem. Inf. Comput. Sci.

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An overview of the principles of group-dynamic periodic systems is given. The process by which atomic and molecular multiplets are obtained is then described, and reference is made to the support provided by the data. Atomic and molecular periodic systems consist of these multiplets situated in coordinates with axes which are the chemical angular-momentum quantum number l (or L) and the principal quantum number n (or n summed over all atoms). The periodic system for atoms serves as a template for the systems for molecules, and only one additional quantum number is needed for the molecular systems. Equivalence classes of substitutable multiplets are then defined and their numbers given. The structures of the resulting molecular periodic systems are shown as plots of the number of substitutable multiplets located at given quantum-number coordinates. Wall charts are available from R.A.H. or G.V.Zh.

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The Periodics Systems of Molecules

Cited by 6 publications

References 21 publications

Patterns of basic knowledge

Patterns of basic knowledge

Why do molecules echo atomic periodicity?

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

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The Periodics Systems of Molecules

Cited by 6 publications

References 21 publications

Patterns of basic knowledge

Patterns of basic knowledge

Why do molecules echo atomic periodicity?

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

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Product

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