Phase classification has a clear guiding significance for the design of high entropy alloys.For mutually exclusive and non-mutually exclusive classifications,the composition descriptors,commonly used physical paramete...Phase classification has a clear guiding significance for the design of high entropy alloys.For mutually exclusive and non-mutually exclusive classifications,the composition descriptors,commonly used physical parameter descriptors,elemental-property descriptors,and descriptors extracted from the periodic table representation(PTR)by the convolutional neural network were collected.Appropriate selection among features with rich information is helpful for phase classification.Based on random forest,the accuracy of the four-label classification and balanced accuracy of the five-label classification were improved to be 0.907 and 0.876,respectively.The roles of the four important features were summarized by interpretability analysis,and a new important feature was found.The model extrapolation ability and the influence of Mo were demonstrated by phase prediction in(CoFeNiMn)_(1-x)Mo_(x).The phase information is helpful for the hardness prediction,the classification results were coupled with the PTR of hardness data,and the prediction error(the root mean square error)was reduced to 56.69.展开更多
In 2003,Railsback proposed the Earth Scientist's Periodic Table,which displays a great deal of elemental geology information in accordance with the natural environment of the earth.As an applied science,metallurgy...In 2003,Railsback proposed the Earth Scientist's Periodic Table,which displays a great deal of elemental geology information in accordance with the natural environment of the earth.As an applied science,metallurgy is based on mineral composition and element behavior,that is similar to geochemistry.In this paper,connections and similarities between geology and metallurgy are identified,based on geochemical laws and numerous metallurgical cases.An obvious connection is that simple cations w让h high and low ionic potential are commonly extracted by hydrometallurgy,while those with intermediate ionic potential are extracted by pyrometallurgy.In addition,element affinity in geology is associated with element migration in metallurgic phases.To be specific,in pyrometallurgy,lithophile elements tend to gather in slags,chalcophile elements prefer the matte phase,siderophile elements are easily absorbed into metal melt,and atmophile elements readily enter the gas phase.Furthermore,in hydrometallurgy,the principles of hard/soft acids and bases(HSABs)offer an explanation of how precipitation and dissolution occur in different solutions,especially for fluoride and chloride.This article provides many metallurgical examples based on the principles of geochemistry to verify these similarities and connections.展开更多
The ionization potential （IP） is a basic property of an atom, which has many applications such as in element analysis. With the Dirac-Slater methods （i.e., mean field theory）, IPs of all occupied orbitals for elem...The ionization potential （IP） is a basic property of an atom, which has many applications such as in element analysis. With the Dirac-Slater methods （i.e., mean field theory）, IPs of all occupied orbitals for elements with atomic number （Z ≤ 119） are calculated conveniently and systematically. Compared with available experimental measurements, the theoretical accuracies of IPs for various occupied orbitals are ascertained. The map of the inner orbital IPs with Mood accuracies should be useful to select x-ray energies for element analysis. Based on systematic variations of the first IPs for the outermost orbitals in good agreement with experimental values as well as other IPs, mechanisms of electronic configurations of all atomic elements （Z ≤ 119） along the periodic table are elucidated. It is interesting to note that there exist some deficiencies of the intermediate orbital IPs, which are due to electron correlations and should be treated beyond the mean field theory.展开更多
Odd-Even Periodic Table of Chemical Elements designed by the authors settles the position of Hydrogen and Helium, Additionally, it yields no exceptional arrangements for neither the Lanthanides, Actinide and Super Act...Odd-Even Periodic Table of Chemical Elements designed by the authors settles the position of Hydrogen and Helium, Additionally, it yields no exceptional arrangements for neither the Lanthanides, Actinide and Super Actinides nor the six empty spots and the controversy on the positions of hydrogen and helium has been settled. It plays an important role in comparing the stability of nucleons and predicting the ordinal of the terminal element.展开更多
The previous methods of figuring the numbers of chemical elements is summed up in this paper. Based on that, another two creative calculative methods are introduced as well.
Building on the idea that molecules in liquid phase associate into multi-molecular complexes through covalent bonds, the present article focuses on the possible structures of these complexes. Saturation at atomic leve...Building on the idea that molecules in liquid phase associate into multi-molecular complexes through covalent bonds, the present article focuses on the possible structures of these complexes. Saturation at atomic level is a key concept to understand where connections occur and how far molecules aggregate. A periodic table for liquids with saturation levels is proposed, in agreement with the even-odd rule, for both organic and inorganic elements. With the aim at reaching the most stable complexes, meaning no other chemical reactions can occur in the liquid phase, the structure of complexes resulting from liquefaction of about 30 molecules is devised. The article concludes that complexes in liquids generally assume rounded shapes of an intermediate size between gas and solid structures. It shows that saturation and covalent bonds alone can explain the specific properties of liquids. While it is generally acknowledged that molecular energy in gases and solids are respectively linear kinetic and vibratory, we suggest that rotatory energy dominates in liquids.展开更多
Over millennia, nobody has been able to predict where prime numbers sprout or how they spread. This study establishes the Periodic Table of Primes (PTP) using four prime numbers 2, 3, 5, and 7. We identify 48 integers...Over millennia, nobody has been able to predict where prime numbers sprout or how they spread. This study establishes the Periodic Table of Primes (PTP) using four prime numbers 2, 3, 5, and 7. We identify 48 integers out of a period 2×3×5×7=210 to be the roots of all primes as well as composites without factors of 2, 3, 5, and 7. Each prime, twin primes, or composite without factors of 2, 3, 5, and 7 is an offspring of the 48 integers uniquely allocated on the PTP. Three major establishments made in the article are the Formula of Primes, the Periodic Table of Primes, and the Counting Functions of Primes and Twin Primes.展开更多
Single-atom catalysts(SACs)have garnered tremendous and continuous attention in photocatalytic CO_(2)reduction reactions(CO_(2)RR),due to their compelling potential in broadening the light-harvesting range,elevating t...Single-atom catalysts(SACs)have garnered tremendous and continuous attention in photocatalytic CO_(2)reduction reactions(CO_(2)RR),due to their compelling potential in broadening the light-harvesting range,elevating the charge separation/transfer efficiency,and enhancing surface reaction.Despite the surge in research and the expanding range of potential central metal candidates—including d-block,p-block,and rare metal elements,etc.—the comprehension of the structure-function relationships between the central metal and its performance remains elusive.Hence,categorized by different areas of the central metal element from periodic table,we outline the recent progress and challenges on SACs for photocatalytic CO_(2)RR.We begin by describing various synthetic strategies employed for SACs.Subsequently,a clear classification of the SACs applications in photocatalytic CO_(2)RR is provided,according to the central metal elements in different blocks of the periodic table.We also discussed how isolated metal single-atom sites from different blocks of the periodic table improve the performance of photocatalytic CO_(2)reduction from the perspective of charge separation and transfer.Finally,we end this review with some perspectives and challenges associated with SACs for photocatalytic CO_(2)reduction.Through this review,we aim to enrich the element diversity of SACs for photocatalytic CO_(2)RR,reveal trends in element evolution,and propose directions for future development in this flourishing field.展开更多
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...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.展开更多
How do elements originate, how atoms are formed, and what are the laws? According to the unified logic of “Tong Yi Lun Thought”, combined with the elements’ attributes and the atomic composition that have been disc...How do elements originate, how atoms are formed, and what are the laws? According to the unified logic of “Tong Yi Lun Thought”, combined with the elements’ attributes and the atomic composition that have been discovered now, after determining that the mechanism of increasing yang in the atomic system is the increase of proton number, the Bian Zheng relationship among proton, neutron and electron determines that there are only 128 kinds of elements in the atomic system. At the same time, element atoms have corresponding logical relations when they are generated.展开更多
The purpose of this article is to propose a new design for the periodic table of elements. The new design is based on a three-dimensional (3D) model of the gastropod shell structure and presents a mechanism of the for...The purpose of this article is to propose a new design for the periodic table of elements. The new design is based on a three-dimensional (3D) model of the gastropod shell structure and presents a mechanism of the formation of elements that reflects the laws of nature that guide the formation of the gastropod shell, electron orbitals, and element structure. The author also identifies challenges associated with the current standard periodic table, such as the positions of hydrogen, helium, lanthanides, and actinides. The author’s research is a response to the IUPAC’s request, dating back to 2016, to settle unresolved disputes surrounding the current standard periodic table. Hence, the author proposes the “Gastropod Shell Model”, which presents the periodic system in 2D and 3D snail shells based on a hypothesized unifying principle guiding the formation of elements: the universal unified theory that considers the spiral and vortex forms as the bridge between energy and matter. The author was able to position hydrogen, helium, lanthanides, and actinides uniquely in their proposed periodic system to solve problems associated with their positions in the standard periodic table. Readers will be interested in uncovering the “hypothesized unifying principle guiding the formation of elements”.展开更多
One of the biggest unsolved problems in physics is the particle masses of all elementary particles which cannot be calculated accurately and predicted theoretically. In this paper, the unsolved problem of the particle...One of the biggest unsolved problems in physics is the particle masses of all elementary particles which cannot be calculated accurately and predicted theoretically. In this paper, the unsolved problem of the particle masses is solved by the accurate mass formulas which calculate accurately and predict theoretically the particle masses of all leptons, quarks, gauge bosons, the Higgs boson, and cosmic rays (the knees-ankles-toe) by using only five known constants: the number (seven) of the extra spatial dimensions in the eleven-dimensional membrane, the mass of electron, the masses of Z and W bosons, and the fine structure constant. The calculated masses are in excellent agreements with the observed masses. For examples, the calculated masses of muon, top quark, pion, neutron, and the Higgs boson are 105.55 MeV, 175.4 GeV, 139.54 MeV, 939.43 MeV, and 126 GeV, respectively, in excellent agreements with the observed 105.65 MeV, 173.3 GeV, 139.57 MeV, 939.27 MeV, and 126 GeV, respectively. The mass formulas also calculate accurately the masses of the new particle at 750 GeV from the LHC and the new light boson at 17 MeV. The theoretical base of the accurate mass formulas is the periodic table of elementary particles. As the periodic table of elements is derived from atomic orbitals, the periodic table of elementary particles is derived from the seven principal mass dimensional orbitals and seven auxiliary mass dimensional orbitals. All elementary particles including leptons, quarks, gauge bosons, the Higgs boson, and cosmic rays can be placed in the periodic table of elementary particles. The periodic table of elementary particles is based on the theory of everything as the computer simulation model of physical reality consisting of the mathematical computation, digital representation and selective retention components. The computer simulation model of physical reality provides the seven principal mass dimensional orbitals and seven auxiliary mass dimensional orbitals for the periodic table of elementary particles.展开更多
Present studies in physics assume that elementary particles are the building blocks of all matter, and that they are zero-dimensional objects which do not occupy space. The new I-Theory predicts that elementary partic...Present studies in physics assume that elementary particles are the building blocks of all matter, and that they are zero-dimensional objects which do not occupy space. The new I-Theory predicts that elementary particles do indeed have a substructure, three dimensions, and occupy space, being composed of fundamental particles called I-particles. In this article we identify the substructural pattern of elementary particles and define the quanta of energy that form each elementary particle. We demonstrate that the substructure comprises two classes of quanta which we call “attraction quanta” and “repulsion quanta”. We create a model that defines the rest-mass energy of each elementary particle and can predict new particles. Lastly, in order to incorporate this knowledge into the contemporary models of science, a revised periodic table is proposed.展开更多
This paper purposes an explanation for the recent evidence for the violation of lepton universality in beauty-quark decays at CERN’s Large Hadron Collider. A beauty meson (B<sup>+</sup>) transforms into a...This paper purposes an explanation for the recent evidence for the violation of lepton universality in beauty-quark decays at CERN’s Large Hadron Collider. A beauty meson (B<sup>+</sup>) transforms into a strange meson (K<sup>+</sup>) with the emission of either electron-positron (e<sup>+</sup>e<sup>-</sup>) or muon-antimuon (<span style="white-space:nowrap;"><em>μ</em></span><sup>+</sup><em>μ</em><sup>-</sup>). The ratio (<em>R</em><sub>K</sub>) of branching fractions for B<sup>+ </sup><span style="white-space:nowrap;">→</span> K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>- </sup>and B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup>e<sup>+</sup>e<sup>-</sup> decays is measured to be <em>R</em><sub>K</sub> = 0.846 instead of 1 in the violation of lepton universality in the Standard Model. This paper proposes that the violation is derived from the binary isotope mixture of two beauty-quarks, b<sub>7</sub> (4979 MeV mass) and b<sub>8</sub> (143,258 MeV mass) whose masses are calculated from the periodic table of elementary particles. b<sub>7</sub> is the observable B, while b<sub>8</sub> is the hidden B to preserve the generation number symmetry between the three lepton family generations and the three quark family generations in the Standard Model. The preservation of the generation number symmetry forbids b<sub>8</sub> to decay into K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>. In the transition state involving the virtual particles (<span style="white-space:nowrap;"><em>γ</em></span>, W± and Z<span style="white-space:nowrap;">°</span>) before the decay, b<sub>7</sub> and b<sub>8</sub> emerge to form the binary isotope mixture from B. The rates of emergence as the rates of diffuse in Graham’s law of diffusion are proportional to inverse square root of mass. The rate ratio between b<sub>8</sub>/b<sub>7</sub> is (4979/143,258)<sup>1/2</sup> = 0.1864. Since b<sub>7</sub> decays into K<sup>+</sup>, e<sup>+</sup>e<sup>-</sup>, and <em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>, while b<sub>8</sub> decays into K<sup>+</sup>, e<sup>+</sup>e<sup>-</sup>, and forbidden <em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>, the calculated ratio (RK) of branching fractions for B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>-</sup> and B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup>e<sup>+</sup>e<sup>- </sup>is 0.5/(0.1864 × 0.5+ 0.5) = 0.843 in excellent agreement with the observed 0.846. The agreement between the calculated RK and the observed RK confirms the validity of the periodic table of elementary particles which provides the answers for the dominance of matter over antimatter, dark-matter, and the mass hierarchy of elementary particles.展开更多
基金supported by the National Natural Science Foundation of China(Nos.51671075,51971086)the Natural Science Foundation of Heilongjiang Province,China(No.LH2022E081)。
文摘Phase classification has a clear guiding significance for the design of high entropy alloys.For mutually exclusive and non-mutually exclusive classifications,the composition descriptors,commonly used physical parameter descriptors,elemental-property descriptors,and descriptors extracted from the periodic table representation(PTR)by the convolutional neural network were collected.Appropriate selection among features with rich information is helpful for phase classification.Based on random forest,the accuracy of the four-label classification and balanced accuracy of the five-label classification were improved to be 0.907 and 0.876,respectively.The roles of the four important features were summarized by interpretability analysis,and a new important feature was found.The model extrapolation ability and the influence of Mo were demonstrated by phase prediction in(CoFeNiMn)_(1-x)Mo_(x).The phase information is helpful for the hardness prediction,the classification results were coupled with the PTR of hardness data,and the prediction error(the root mean square error)was reduced to 56.69.
基金This work was financially supported by the Key Program of National Natural Science Foundation of China(51334008).
文摘In 2003,Railsback proposed the Earth Scientist's Periodic Table,which displays a great deal of elemental geology information in accordance with the natural environment of the earth.As an applied science,metallurgy is based on mineral composition and element behavior,that is similar to geochemistry.In this paper,connections and similarities between geology and metallurgy are identified,based on geochemical laws and numerous metallurgical cases.An obvious connection is that simple cations w让h high and low ionic potential are commonly extracted by hydrometallurgy,while those with intermediate ionic potential are extracted by pyrometallurgy.In addition,element affinity in geology is associated with element migration in metallurgic phases.To be specific,in pyrometallurgy,lithophile elements tend to gather in slags,chalcophile elements prefer the matte phase,siderophile elements are easily absorbed into metal melt,and atmophile elements readily enter the gas phase.Furthermore,in hydrometallurgy,the principles of hard/soft acids and bases(HSABs)offer an explanation of how precipitation and dissolution occur in different solutions,especially for fluoride and chloride.This article provides many metallurgical examples based on the principles of geochemistry to verify these similarities and connections.
基金Supported by the Ministry of Science and Technology and Ministry of Education of Chinathe Key Grant Project of Chinese Ministry of Education under Grant No 306020+2 种基金the National Natural Science Foundation of China under Grant Nos 11274035 and 11328401the National High-Tech ICF Committee in China,the Yin-He Super-computer Center,Institute of Applied Physics and Mathematicsthe National Basic Research Program of China under Grant No 2011CB921501
文摘The ionization potential （IP） is a basic property of an atom, which has many applications such as in element analysis. With the Dirac-Slater methods （i.e., mean field theory）, IPs of all occupied orbitals for elements with atomic number （Z ≤ 119） are calculated conveniently and systematically. Compared with available experimental measurements, the theoretical accuracies of IPs for various occupied orbitals are ascertained. The map of the inner orbital IPs with Mood accuracies should be useful to select x-ray energies for element analysis. Based on systematic variations of the first IPs for the outermost orbitals in good agreement with experimental values as well as other IPs, mechanisms of electronic configurations of all atomic elements （Z ≤ 119） along the periodic table are elucidated. It is interesting to note that there exist some deficiencies of the intermediate orbital IPs, which are due to electron correlations and should be treated beyond the mean field theory.
文摘Odd-Even Periodic Table of Chemical Elements designed by the authors settles the position of Hydrogen and Helium, Additionally, it yields no exceptional arrangements for neither the Lanthanides, Actinide and Super Actinides nor the six empty spots and the controversy on the positions of hydrogen and helium has been settled. It plays an important role in comparing the stability of nucleons and predicting the ordinal of the terminal element.
基金This work is supported by the National Science Foundation of China （No. 20471001 and 20671001）, the Important Project of Anhui Provincial Education Department （No. ZD2007004-1）, the Specific Project for Talents of Science and Technology of Universities of Anhui Province （No. 2005hbz03） and the Key Laboratory of Environment-friendly Polymer Materials of Anhui Province.
文摘The previous methods of figuring the numbers of chemical elements is summed up in this paper. Based on that, another two creative calculative methods are introduced as well.
文摘Building on the idea that molecules in liquid phase associate into multi-molecular complexes through covalent bonds, the present article focuses on the possible structures of these complexes. Saturation at atomic level is a key concept to understand where connections occur and how far molecules aggregate. A periodic table for liquids with saturation levels is proposed, in agreement with the even-odd rule, for both organic and inorganic elements. With the aim at reaching the most stable complexes, meaning no other chemical reactions can occur in the liquid phase, the structure of complexes resulting from liquefaction of about 30 molecules is devised. The article concludes that complexes in liquids generally assume rounded shapes of an intermediate size between gas and solid structures. It shows that saturation and covalent bonds alone can explain the specific properties of liquids. While it is generally acknowledged that molecular energy in gases and solids are respectively linear kinetic and vibratory, we suggest that rotatory energy dominates in liquids.
文摘Over millennia, nobody has been able to predict where prime numbers sprout or how they spread. This study establishes the Periodic Table of Primes (PTP) using four prime numbers 2, 3, 5, and 7. We identify 48 integers out of a period 2×3×5×7=210 to be the roots of all primes as well as composites without factors of 2, 3, 5, and 7. Each prime, twin primes, or composite without factors of 2, 3, 5, and 7 is an offspring of the 48 integers uniquely allocated on the PTP. Three major establishments made in the article are the Formula of Primes, the Periodic Table of Primes, and the Counting Functions of Primes and Twin Primes.
基金financially supported by Talent Start-up Fund of Fuzhou University(No.0180-511208)Fuzhou University Testing Fund of precious apparatus(No.2023T002)+1 种基金the National Natural Science Foundation of China(Nos.21703038 and 22072025)The financial support from State Key Laboratory of Structural Chemistry,Fujian Institute of Research on the Structure of Matter,Chinese Academy of Sciences is acknowledged(No.20240018).
文摘Single-atom catalysts(SACs)have garnered tremendous and continuous attention in photocatalytic CO_(2)reduction reactions(CO_(2)RR),due to their compelling potential in broadening the light-harvesting range,elevating the charge separation/transfer efficiency,and enhancing surface reaction.Despite the surge in research and the expanding range of potential central metal candidates—including d-block,p-block,and rare metal elements,etc.—the comprehension of the structure-function relationships between the central metal and its performance remains elusive.Hence,categorized by different areas of the central metal element from periodic table,we outline the recent progress and challenges on SACs for photocatalytic CO_(2)RR.We begin by describing various synthetic strategies employed for SACs.Subsequently,a clear classification of the SACs applications in photocatalytic CO_(2)RR is provided,according to the central metal elements in different blocks of the periodic table.We also discussed how isolated metal single-atom sites from different blocks of the periodic table improve the performance of photocatalytic CO_(2)reduction from the perspective of charge separation and transfer.Finally,we end this review with some perspectives and challenges associated with SACs for photocatalytic CO_(2)reduction.Through this review,we aim to enrich the element diversity of SACs for photocatalytic CO_(2)RR,reveal trends in element evolution,and propose directions for future development in this flourishing field.
文摘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.
文摘How do elements originate, how atoms are formed, and what are the laws? According to the unified logic of “Tong Yi Lun Thought”, combined with the elements’ attributes and the atomic composition that have been discovered now, after determining that the mechanism of increasing yang in the atomic system is the increase of proton number, the Bian Zheng relationship among proton, neutron and electron determines that there are only 128 kinds of elements in the atomic system. At the same time, element atoms have corresponding logical relations when they are generated.
文摘The purpose of this article is to propose a new design for the periodic table of elements. The new design is based on a three-dimensional (3D) model of the gastropod shell structure and presents a mechanism of the formation of elements that reflects the laws of nature that guide the formation of the gastropod shell, electron orbitals, and element structure. The author also identifies challenges associated with the current standard periodic table, such as the positions of hydrogen, helium, lanthanides, and actinides. The author’s research is a response to the IUPAC’s request, dating back to 2016, to settle unresolved disputes surrounding the current standard periodic table. Hence, the author proposes the “Gastropod Shell Model”, which presents the periodic system in 2D and 3D snail shells based on a hypothesized unifying principle guiding the formation of elements: the universal unified theory that considers the spiral and vortex forms as the bridge between energy and matter. The author was able to position hydrogen, helium, lanthanides, and actinides uniquely in their proposed periodic system to solve problems associated with their positions in the standard periodic table. Readers will be interested in uncovering the “hypothesized unifying principle guiding the formation of elements”.
文摘One of the biggest unsolved problems in physics is the particle masses of all elementary particles which cannot be calculated accurately and predicted theoretically. In this paper, the unsolved problem of the particle masses is solved by the accurate mass formulas which calculate accurately and predict theoretically the particle masses of all leptons, quarks, gauge bosons, the Higgs boson, and cosmic rays (the knees-ankles-toe) by using only five known constants: the number (seven) of the extra spatial dimensions in the eleven-dimensional membrane, the mass of electron, the masses of Z and W bosons, and the fine structure constant. The calculated masses are in excellent agreements with the observed masses. For examples, the calculated masses of muon, top quark, pion, neutron, and the Higgs boson are 105.55 MeV, 175.4 GeV, 139.54 MeV, 939.43 MeV, and 126 GeV, respectively, in excellent agreements with the observed 105.65 MeV, 173.3 GeV, 139.57 MeV, 939.27 MeV, and 126 GeV, respectively. The mass formulas also calculate accurately the masses of the new particle at 750 GeV from the LHC and the new light boson at 17 MeV. The theoretical base of the accurate mass formulas is the periodic table of elementary particles. As the periodic table of elements is derived from atomic orbitals, the periodic table of elementary particles is derived from the seven principal mass dimensional orbitals and seven auxiliary mass dimensional orbitals. All elementary particles including leptons, quarks, gauge bosons, the Higgs boson, and cosmic rays can be placed in the periodic table of elementary particles. The periodic table of elementary particles is based on the theory of everything as the computer simulation model of physical reality consisting of the mathematical computation, digital representation and selective retention components. The computer simulation model of physical reality provides the seven principal mass dimensional orbitals and seven auxiliary mass dimensional orbitals for the periodic table of elementary particles.
文摘Present studies in physics assume that elementary particles are the building blocks of all matter, and that they are zero-dimensional objects which do not occupy space. The new I-Theory predicts that elementary particles do indeed have a substructure, three dimensions, and occupy space, being composed of fundamental particles called I-particles. In this article we identify the substructural pattern of elementary particles and define the quanta of energy that form each elementary particle. We demonstrate that the substructure comprises two classes of quanta which we call “attraction quanta” and “repulsion quanta”. We create a model that defines the rest-mass energy of each elementary particle and can predict new particles. Lastly, in order to incorporate this knowledge into the contemporary models of science, a revised periodic table is proposed.
文摘This paper purposes an explanation for the recent evidence for the violation of lepton universality in beauty-quark decays at CERN’s Large Hadron Collider. A beauty meson (B<sup>+</sup>) transforms into a strange meson (K<sup>+</sup>) with the emission of either electron-positron (e<sup>+</sup>e<sup>-</sup>) or muon-antimuon (<span style="white-space:nowrap;"><em>μ</em></span><sup>+</sup><em>μ</em><sup>-</sup>). The ratio (<em>R</em><sub>K</sub>) of branching fractions for B<sup>+ </sup><span style="white-space:nowrap;">→</span> K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>- </sup>and B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup>e<sup>+</sup>e<sup>-</sup> decays is measured to be <em>R</em><sub>K</sub> = 0.846 instead of 1 in the violation of lepton universality in the Standard Model. This paper proposes that the violation is derived from the binary isotope mixture of two beauty-quarks, b<sub>7</sub> (4979 MeV mass) and b<sub>8</sub> (143,258 MeV mass) whose masses are calculated from the periodic table of elementary particles. b<sub>7</sub> is the observable B, while b<sub>8</sub> is the hidden B to preserve the generation number symmetry between the three lepton family generations and the three quark family generations in the Standard Model. The preservation of the generation number symmetry forbids b<sub>8</sub> to decay into K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>. In the transition state involving the virtual particles (<span style="white-space:nowrap;"><em>γ</em></span>, W± and Z<span style="white-space:nowrap;">°</span>) before the decay, b<sub>7</sub> and b<sub>8</sub> emerge to form the binary isotope mixture from B. The rates of emergence as the rates of diffuse in Graham’s law of diffusion are proportional to inverse square root of mass. The rate ratio between b<sub>8</sub>/b<sub>7</sub> is (4979/143,258)<sup>1/2</sup> = 0.1864. Since b<sub>7</sub> decays into K<sup>+</sup>, e<sup>+</sup>e<sup>-</sup>, and <em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>, while b<sub>8</sub> decays into K<sup>+</sup>, e<sup>+</sup>e<sup>-</sup>, and forbidden <em>μ</em><sup>+</sup><em>μ</em><sup>-</sup>, the calculated ratio (RK) of branching fractions for B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup><em>μ</em><sup>+</sup><em>μ</em><sup>-</sup> and B<sup>+</sup><span style="white-space:nowrap;">→</span> K<sup>+</sup>e<sup>+</sup>e<sup>- </sup>is 0.5/(0.1864 × 0.5+ 0.5) = 0.843 in excellent agreement with the observed 0.846. The agreement between the calculated RK and the observed RK confirms the validity of the periodic table of elementary particles which provides the answers for the dominance of matter over antimatter, dark-matter, and the mass hierarchy of elementary particles.
