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Orbitals: With Applications In Atomic Spectra (Revised Edition) [Mīkstie vāki]

(Winchester College, Uk)
  • Formāts: Paperback / softback, 280 pages
  • Sērija : Essential Textbooks in Chemistry
  • Izdošanas datums: 20-Apr-2020
  • Izdevniecība: World Scientific Europe Ltd
  • ISBN-10: 1786348853
  • ISBN-13: 9781786348852
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  • Mīkstie vāki
  • Cena: 61,22 €
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  • Formāts: Paperback / softback, 280 pages
  • Sērija : Essential Textbooks in Chemistry
  • Izdošanas datums: 20-Apr-2020
  • Izdevniecība: World Scientific Europe Ltd
  • ISBN-10: 1786348853
  • ISBN-13: 9781786348852
Citas grāmatas par šo tēmu:
'Without being an explicitly philosophical treatise Chas McCaw's book delves into some of the deepest and most difficult aspects of atomic physics and chemistry and its underlying quantum mechanical account One of the many strengths of the book under review is that it takes a rigorous and unflinching look at the necessary mathematical details. In addition, the author, who is the Head of Science at Winchester College in the UK, provides as many as 107 exercises which are interspersed throughout the main text. The detailed solutions are given at the end of the book, over a sequence of about 50 pages.'Foundations of ChemistryOrbitals: With Applications in Atomic Spectra describes atomic orbitals at a level suitable for undergraduates in chemistry. The mathematical treatment is brought to life by many illustrations rendered from mathematical functions (no artists' impressions), including three-dimensional plots of angular functions, showing orbital phase, and contour plots of the wavefunctions that result from orbital hybridisation.This revised edition includes new discussion of the origins of the colour of gold and the 'accidental degeneracy' of the hydrogen atom subshells, a new figure, a new exercise and worked solution, as well as several new references. It also contains current and accurate updates to the old edition.Orbitals extends the key fundamental quantum properties to many-electron atoms, linear combinations of atomic orbitals, simple molecules, delocalised systems and atomic spectroscopy. By focusing on simple model systems, use of analogies and avoiding group theory, results are obtained from initial postulates without the need for sophisticated mathematics. The book explains topics from first principles and guides the reader carefully through the necessary mathematics, supplemented by worked solutions to problems.
Acknowledgements xi
Preface xiii
Chapter 1 Fundamentals
1(12)
1.1 Wave-Particle Duality
1(1)
1.2 Wavefunctions
2(1)
1.3 Schrodinger and his Equation
3(2)
1.4 Properties of Eigenvalue Equations
5(2)
1.5 The Meaning of the Wavefunction
7(1)
1.6 What are Orbitals and can they be Visualised?
8(3)
1.7 Dirac Notation
11(2)
Chapter 2 Orbitals in the Hydrogen Atom
13(44)
2.1 Spherical Polar Coordinates
13(1)
2.2 Degrees of Freedom and Quantum Numbers
14(2)
2.3 Angular Momentum
16(3)
2.4 Angular Wavefunctions of the Hydrogen Electron
19(8)
2.5 Cubic f Orbitals in the Hydrogen Atom
27(4)
2.6 Radial Wavefunctions of the Hydrogen Electron
31(10)
2.7 The Bohr Radius
41(2)
2.8 Orbital Energies in the Hydrogen Atom
43(5)
2.9 Orbitals
48(6)
2.10 The Speed of the Electron
54(3)
Chapter 3 Multi-Electron Atoms
57(46)
3.1 Multi-Electron Schrodinger Equations and the Orbital Approximation
57(1)
3.2 Shielding and Penetration
58(2)
3.3 Slater's Rules
60(5)
3.4 Electron Affinity and its Periodicity
65(3)
3.5 Electron Spin and the Pauli Principle
68(2)
3.6 Arrow-in-Box Notation and its Limitations
70(1)
3.7 Ionisation of d-Block-Metal's Electrons
71(6)
3.8 Irregular Configurations and Exchange Energy
77(5)
3.9 An Alternative Approach to d-Block Configurations
82(6)
3.10 Explaining Some Surprising d-Block Chemistry
88(6)
3.11 Contrasts in f-Block Chemistry
94(9)
Chapter 4 Wavefunctions in Multi-Electron Atoms
103(22)
4.1 Antisymmetric Wavefunctions: Slater Determinants
103(3)
4.2 Energy Levels in Multi-Electron Atoms
106(2)
4.3 Russell-Saunders Terms
108(4)
4.4 Spin
112(1)
4.5 Spin-Orbit Coupling
113(1)
4.6 Hund's Rules
114(2)
4.7 Coupling
116(2)
4.8 Other Types of Magnetic Coupling
118(1)
4.9 Crystal Fields
119(6)
Chapter 5 Orbitals in Molecules
125(32)
5.1 The Linear Combination of Atomic Orbitals (LCAO)
125(2)
5.2 Molecular Orbital Energies
127(6)
5.3 Types of Orbital Overlap
133(5)
5.4 Hybridised Atomic Orbitals
138(6)
5.5 Hybridised Bonding and Antibonding Orbitals
144(2)
5.6 π Bonding in Benzene
146(11)
Chapter 6 Atomic Spectroscopy
157(44)
6.1 Electric-Dipole Transitions and Selection Rules
157(5)
6.2 Simple Model Systems
162(15)
6.3 Simple Atomic Spectra
177(9)
6.4 Complex Atomic Spectra
186(15)
Appendix A Worked Solutions to Exercises
201(52)
Chapter 1 Fundamentals
201(1)
Chapter 2 Orbitals in the Hydrogen Atom
202(18)
Chapter 3 Multi-Electron Atoms
220(5)
Chapter 4 Wavefunctions in Multi-Electron Atoms
225(7)
Chapter 5 Orbitals in Molecules
232(4)
Chapter 6 Atomic Spectroscopy
236(17)
Bibliography 253(6)
Index 259