By Walfried Plieth
List of Symbols
, Pages xi-xx
, Page xxi
1 - Electrolytes
, Pages 1-26
2 - constitution and Bonding
, Pages 27-69
3 - Electrode Potentials
, Pages 71-100
4 - Ad-Atoms and Underpotential Deposition
, Pages 101-142
5 - Mass Transport
, Pages 143-167
6 - cost Transfer
, Pages 169-193
7 - Nucleation and progress of Metals
, Pages 195-229
8 - Deposition of Alloys
, Pages 231-262
9 - Oxides and Semiconductors
, Pages 263-290
10 - Corrosion and Corrosion Protection
, Pages 291-321
11 - Intrinsically carrying out Polymers
, Pages 323-363
12 - Nanoelectrochemistry
, Pages 365-388
, Pages 389-410
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Extra resources for Electrochemistry for Materials Science
On the energy scale a single orbital is no longer distinguishable; a band is formed. A similar result was obtained with the nearly free electron model. A short description of molecular orbitals in solids will be given in the following text. As was already mentioned, a comprehensive treatment of the orbital concept of bonding in solids was presented by R. 15. The exponential term in Eq. 15) determines the sign of the combination. 15 the situation for k ϭ 0 (all signs positive, the energy of this molecular orbital is lowest), k ϭ / 2a and k ϭ / a (border of the first Brillouin zone, alternating positive and negative sign, highest energy), is shown.
15 One-dimensional combination of atomic s-orbitals. k ϭ 0 (all signs positive, the energy of this molecular orbital is lowest), k ϭ /2a, k ϭ /a (border of the first Brillouin zone, alternating positive and negative sign, and highest energy). 16 Energy band formed by the one-dimensional combination of atomic s-orbitals. (a) Weak interaction (long distance between the lattice points) and (b) strong interaction (short distance between the lattice points). 17 One-dimensional combination of atomic p-orbitals.
19 is Eg. s- and p-bands in a solid. (a) Overlapping and (b) forming a band gap. 3 Density of states (DOS) A band contains as many states (orbitals) as there are atoms in the macroscopic solid. The density of orbitals called DOS is a characteristic property of a band. 20 47 Energy bands and DOS versus electron energy for s- and p-bands. Each band contains the same number of energy levels given by the number of atoms or molecular units in the chain. If a small band is considered, this band has a high DOS.