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The atomic structure and law /

This book discovers four-dimensional space within a sphere with the instantiation of the 2s2p electron octet in a neon shell. Four space dimensions correspond to points, lines, planes, and solids geometrically. This book develops the idea of dynamic calculus that is implemented by circular functions...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Xu, Kunming (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hauppauge, New York : Nova Science Publishers, Inc., 2014.
Colección:Mathematics research developments
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • THE ATOMIC STRUCTURE AND LAW; THE ATOMIC STRUCTURE AND LAW; Library of Congress Cataloging-in-Publication Data; Contents; Preface; Part I. The Atomic Structure; Chapter 1: Spherical Quantities in Two-Dimensional Spacetime; 1.1. Introduction to Spherical Quantity; 1.2. Euclidean Space and Newtonian Time; 1.3. Two-Dimensional Spacetime; 1.3.1. Harmonic Oscillation; 1.3.2. Duality in Helium; 1.3.3. Duality in an LC Circuit; 1.3.4. The Duality Equation vs. Schrödinger's Equation; 1.4. Dynamic Calculus; 1.4.1. Infinitesimal Calculus Review; 1.4.2. Dynamic Calculus; 1.4.3. Spacetime Continuity.
  • 1.4.4. Properties of Spherical Quantities1.5. Linear Interpretation of Spherical Quantity; 1.5.1. Spherical Quantities by Rotatory Vectors; 1.5.2. Dimension Concepts of Space and Time; 1.5.3. Spherical Quantities in Euclidean Space; 1.6. Introduction to the Spherical View; Chapter 2: The Theory of Quaternity; 2.1. Four Space Dimensions; 2.1.1. Four Geometric Elements in a Sphere; 2.1.2. Orthogonality and Scalability of Four Dimensions; 2.2. Quaternity Spacetime; 2.2.1. Symmetry and Complementarity of Time and Space; 2.2.2. Rotatory Operations and the Quaternity Equation.
  • 2.2.3. Electronic Orbitals in a Neon Shell2.2.4. Dimension Encapsulation Mechanism; 2.2.5. The Differential Chain Rule; 2.3. Four-Dimensional Harmonic Oscillations; 2.3.1. Harmonic Oscillation in One Dimension; 2.3.2. Harmonic Oscillation in Two Dimensions; 2.3.3. Harmonic Oscillation in Three Dimensions; 2.3.4. Harmonic Oscillation in Four Dimensions; 2.3.5. Four Kinds of Orbital Geometries; 2.4. Compatibility with Classical and Quantum Mechanics; 2.5. Summary; Chapter 3: Dynamic Calculus in Vector Calculus; 3.1. Dynamic Calculus as Vector Calculus Along a Path.
  • 3.2. Vector Calculus in Two-Dimensional Space3.3. Vector Calculus in Quaternity Space; 3.3.1. The Polor in the First Dimension; 3.3.2. The Metor in the Second Dimension; 3.3.3. The Vitor in the Third Dimension; 3.3.4. The Scalor in the Fourth Dimension; 3.4. Orbital Synchronization; 3.4.1. Green's Theorem; 3.4.2. Stokes' theorem; 3.4.3. Gauss's Theorem; 3.5. Electronic Interaction Through Virtual Photons; 3.6. Summary; Chapter 4: Quaternity, Relativity, and Quantum Mechanics; 4.1. Scope of Views; 4.2. Quaternity on EPR Paradox; 4.3. Special Relativity in Quaternity; 4.4. Summary; References.
  • Chapter 5: The Structure of Atomic Shells5.1. Electronic Orbitals in an Argon Shell; 5.1.1. Spherical Quantities for 3s3p Electrons; 5.1.2. Complementary Orbitals due to a Direction Shift; 5.1.3. Dimension Factors as Operators; 5.1.4. Electronic Ropes; 5.2. Electronic Orbitals in a Krypton Shell; 5.2.1. Coordination of Circular Complex Functions; 5.2.2. Circular Complex Functions as Exponential Functions; 5.2.3. Circular Complex Functions as Radian Angles; 5.2.4. Spherical Quantities for 3d Electrons; 5.2.5. Complementary Orbitals Due to a Standpoint Shift; 5.3. Electronic Orbitals in.