Graphene
the Foundation of the
New Generation of Learning Computers

by Dr. Maria Kuman

Book cover 'Quantum Mind & Quantum Growth - Ways of Spiritual Growth'This is my dissertation on graphene published as a book. Why did I decide to publish it as a book? It is because graphene, which is one layer of graphite, recently became a very hot topic.

Recently, the first computer with graphene chips was created at the University of California at Berkley, in collaboration with the Massachusetts Institute of Technology. This new generation of computers can learn and improve themselves. Also, the new computers with graphene chips are many times faster and many times lighter than the silicon-based computer we use now. One of their integrated circuits can contain up to 2 million graphene chips.

Since the new computers with graphene chips can learn, they will be the basis of the future artificial intelligence.

Also, graphene-based solar panels were found to have the highest efficiency of transforming solar energy into electrical for the lowest price.

The first digital camera with graphene chips was created in Spain.

And this is just the beginning. There will be many new technologies based on graphene.


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TABLE OF CONTENTS

Graphene
the Foundation of the New Generation of Learning Computers

Preface - 9

Introduction: Cyclic aromatic molecules with conjugated bonds (rings of free π-electrons) and their heterocyclic analogs with two types of alternating atoms - 13
Chapter 1: Basics of the theory estimating the contribution of the π-electrons to the magnetic properties of cyclic aromatic molecules and their heterocyclic analogs with two types of alternating atoms - π-electron approximation

  • Introduction - 17
  • Brief description of the basics of the method MO LCAO - 19
  • London’s Method - 22
  • Review of basic applications of London’s method - 39

Chapter 2:  Computation of the contributions of the π- electron ring currents to the diamagnetic susceptibility of polyacene chains (finite and infinite) of benzene rings and their analogs with two types of alternating atoms

  • Introduction -45
  • Calculating the contributions of the π-electron ring currents to the diamagnetic susceptibility of polyacene and polyacene analogs with two types of alternating atoms with London’s method - 46
  • Using the London’s method to calculate the π-electron contribution to the diamagnetic susceptibility of polyacenes and polyacene analogs - 46
  • Model for infinite polyacene chain of benzene rings and polyacene analogs with two types of alternating atoms- 49
  • Monocyclic perimeter model for polyacenes and their analogs with two types of alternating atoms - 53
  • Conclusion - 57

Chapter 3: London’s method for calculation of the contribution of the π-electron ring currents to the diamagnetic susceptibility of infinite in one direction graphene bands (of condensed benzene rings) and their analogs with two types of alternating atoms

  • Introduction - 59
  • London’s method for calculation of the contribution of the π-electron ring currents to the diamagnetic susceptibility of infinite in one direction graphene bands and their analogs with two types of alternating atoms - 60

Chapter 4: Free π-electron approximation for calculation of the contribution of the π-electron ring currents to the diamagnetic susceptibility of infinite in one direction graphene bands (of condensed benzene rings) and their analogs with two types of alternating atoms

  • Introduction - 65
  • Model of free π-electrons considering the π-electrons in an infinite graphene band as a “gas” of non-interacting free particles and their orbital diamagnetism when magnetic field is applied perpendicular to the plane of the band - 65
  • Free π-electrons’ approximation for calculation of the contribution of the π-electron ring currents to the diamagnetic susceptibility of infinite graphene bands and their analogs with two types of alternating atoms - 69
  • Using mathematical model with effective mass - 72

Chapter 5: Perimeter polyacene model for graphene bands and their heterocyclic analogs – limits of application

  • Introduction - 77
  • MO LCAO calculations of the contribution of the π-electron ring currents to the diamagnetic susceptibility of graphene bands using a perimeter polyacene model – 77
  • Limits of application of the perimeter model - 81

Chapter 6: Computation of the contribution of the π-electron ring currents to the diamagnetic susceptibility of the coronene family of condensed benzene rings and ovalene and their analogs consisting of two types of alternating atoms

  • Coronene family of molecules and ovelene and their heterocyclic analogs - 85
  • London’s method for calculation of the diamagnetism of the π-electrons in the coronene family of compounds and ovalene and their heterocyclic analogs with two types of alternating atoms - 86
  • Conclusions concerning the coronene family of molecules and ovalene and their analogs consisting of two types of alternating atoms - 95

Chapter 7: Model presenting the atoms in molecules as potentials with small radius of action, which allows analytical solutions in and without magnetic field

  1. Introduction – 99
  2. Modeling the atoms in molecules as potentials with a small radius of action when magnetic field is not present - 100
  3. Modeling the atoms in molecules as potentials with a small radius of action when magnetic field is present – 104
  4. Perturbation theory – 102

Chapter 8: Electrical properties and energy curves of cyclic molecules and their conglomerate and how they change when two types of alternating atoms are introduced

  • Energy Curves - 111
  • Electrical Properties - 119

Chapter 9: Agreement with experiments of the theoretically calculated energy spectra and electrical conductivity of these materials - 127
Chapter 10: On the existence of ring currents in aromatic molecules in magnetic field - 131
Chapter 11: Agreement with experiments of the theoretically calculated contributions of the ring π–electron currents to the diamagnetic susceptibility of aromatic molecules and their analogs consisting of two types of alternating atoms

  • Introduction - 137
  • Comparison of theoretical predictions with experimental measurements on aromatic compounds (d = 0) - 139
  • Comparison of theoretical predictions with experimental measurements on analogs of the aromatic compounds consisting of two types of alternating atoms (d ¹ 0) - 140