It takes less than a minute and it's completely free. By Jessica Gwynne 28 August The electronic structure of solids is an important topic in many branches of science, including chemistry, physics, materials science and engineering. Chemists will be familiar with using orbital interaction arguments to describe electronic structure, while physicists will be more accustomed to using band theory, and this book aims to bridge the gap between the two schools of thought.
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Orbital approach to the electronic structure of solids builds on a book originally published by two of the authors in French in It contains 12 chapters, beginning with two introductory chapters. The first covers the free electron model and the conductivity of real materials and the second describes the use of symmetry to explain electronic structure. Chapters 3—8 are concerned with one-dimensional systems: the important concepts are developed within three of the chapters and then highlighted in the other three by using trans-polyacetylene, polyacene and inorganic chains as examples.
The last chapters extend the description to two— and three—dimensions.
Electronic band structure
This is primarily a teaching book it would make rather hard-going bedtime reading! Solutions are given at the end of the book and although some are only brief, they are much more complete than in many other books.
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Due to the complexity of the subject matter, this book contains a substantial amount of mathematics, but it is written in an approachable style. It contains clear equations and diagrams and important points within the text are often highlighted by the use of italics. View all copies of this ISBN edition:. Synopsis About this title This book is the first to describe the chemical aspects of the electronic structures of solids in terms familiar to chemists and materials scientists. About the Author : P. Cox is at University of Oxford. Review : 'In conclusion, this book presents a useful overview of the electronic structure and related properties of solids.
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Search for all books with this author and title. Customers who bought this item also bought. Stock Image. Published by Clarendon Press New Paperback Quantity Available: 2. Seller Rating:. New Paperback Quantity Available: 1. Published by Oxford Univ Pr All remaining resonance integrals are set equal to b. Approximations are very severe but allow calculation of a general picture of the molecular orbital electronic energy levels.
Assumptions result in simplifications to the secular determinant as follows: All diagonal elements become: Off-diagonal elements become: All other elements become: Apply to Ethylene: Butadiene Benzene. Consider 1D solid consisting of single infinitely long line of atoms - too simple? Assumptions: Each atom has one s orbital to form MO Construct LCAO-MOs by adding N atoms in succession in a line Results: First atom supplies an s orbital at a certain energy 2nd atom brought up overlaps with 1st atom and forms bonding and antibonding orbitals 3rd atom added overlaps it nearest neighbor and only slightly its next nearest neighbor and three molecular orbitals result, one bonding, one antibonding and one in between that is nonbonding 4th atom added leads to the formation of a fourth MO Successive atoms added essentially just: spread the range of energies covered by the molecular orbitals and fill in the range of energies with more and more orbitals one more for each atom.
However, in some cases the s and p bands may also be contiguous or even overlap. There are N atomic orbitals and N molecular orbitals packed into an apparently continuous band.
There are N electrons to accommodate. Unlike in molecules, the empty orbitals can be very close in energy to the Fermi level, so: in this case the empty orbitals are very close in energy to the Fermi level, so it requires hardly any energy to excite the uppermost electrons.
So some of the electrons are very mobile and give rise to electrical conductivity. Above absolute zero, electrons can be excited by the thermal motion of the atoms.
The higher the temp. The holes and promoted electrons are mobile, and the solid becomes conducting. So this material is a semiconductor. If the gap is very large, then the distribution no longer extends across the gap and so the material is: an insulator. Molecular orbitals for polyatomic systems.
Electronic Structure of Solids - ppt video online download
The molecular orbitals of polyatomic molecules are built in the same way as in diatomic molecules, the only. Statistical mechanics rests. Lecture 15 Molecular Bonding Theories 1 Molecular Orbital Theory Considers all electrons in the field of all atoms constituting a polyatomic species,.
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