Aperiodic structures in condensed matter: fundamentals and applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2009
|
| Series: | Series in condensed matter physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XII, 443 S. Ill., graph. Darst. |
| ISBN: | 9781420068276 |
Staff View
MARC
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| 245 | 1 | 0 | |a Aperiodic structures in condensed matter |b fundamentals and applications |c Enrique Maciá Barber |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2009 | |
| 300 | |a XII, 443 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
їх
1
Orderings
of matter
1
1.1
Periodic thinking in physical sciences
.............. 1
1.2
The realm of periodic crystals
.................. 5
1.3
Superimposed periods
...................... 11
1.4
Order at different scales
..................... 12
1.5
Scale
invariance
and fractal geometry
.............. 17
1.6
Hierarchical architecture of biomolecules
............ 20
1.7
The role of correlated disorder
.................. 21
1.8
Long-range correlations: The
DNA
case
............ 23
2
The notion of aperiodic crystal
29
2.1
Order without periodicity
.................... 29
2.2
Bringing in icosahedral thought
................. 31
2.2.1
A hierarchy of
platonic
shells
.............. 31
2.2.2
Fivefold tilings in plane and space
........... 34
2.3
Beautiful forbidden symmetries
................. 37
2.3.1 Ein
chaya kazo
...................... 37
2.3.2
The twinning affair
.................... 39
2.3.3
The sequel
......................... 40
2.3.4
A new phase of matter
.................. 41
2.4
Unveiling Pythagorean dreams
................. 43
2.4.1
The Pythagorean pentagram
.............. 43
2.4.2
The Golden mean
..................... 45
2.4.3
The Fibonacci world
................... 47
2.5
Crystallography in six dimensions
................ 49
2.5.1
Hyperspace
........................ 49
2.5.2
The notion of phason defects
.............. 53
2.5.3
Approximant phases
................... 54
2.6
IUCr: A new definition of crystal
................ 55
2.7
Aperiodic crystals classification schemes
............ 56
2.8
Some milestones in the aperiodic crystal route
......... 57
VI
Quasiperiodic
crystals
63
3.1
Quasicrvstalline
alloys
...................... 63
3.1.1
Quasicrystal paradoxes
.................. 63
3.1.2
Unusual properties of quasicrystals
........... 65
3.1.3
On the nature of chemical bond
............. 84
3.2
Quasicrystals as a hierarchy of clusters
............. 90
3.3
Electronic structure of icosahedral quasicrystals
........ 94
3.3.1
Fermi level pseudogap
.................. 94
3.3.2
Fine spectral features
.................. 96
3.4
Phenomenological transport models
............... 98
3.4.1
Spectral conductivity models
.............. 98
3.4.2
Transport coefficients
................... 100
3.4.3
Application examples
................... 105
Aperiodically layered materials
125
4.1
A novel design: Fibonacci superlattices
............. 125
4.2
General aperiodic heterostructures
............... 127
4.2.1
Substitution sequences and matrices
.......... 127
4.2.2
Diffracting heterostructures
............... 133
4.2.3
Cantor-like heterostructures
............... 135
4.2.4
A classification scheme
.................. 138
4.3
Signatures of quasiperiodicity
.................. 139
One-dimensional quasiperiodic models
151
5.1
Effective one-dimensional systems
................ 151
5.2
Classification schemes based on spectral properties
...... 156
5.3
Remarkable properties of singular continuous spectra
..... 160
5.3.1
Fractal nature of spectra
................. 160
5.3.2
Critical eigenstates
.................... 163
5.4
Frequency spectra of general Fibonacci lattices
........ 164
•5.5
Nature of critical states in aperiodic systems
.......... 168
•5.6
The role of critical states in transport properties
....... 172
5.6.1
Extended critical states in general Fibonacci lattices
. 173
5.6.2
Critical modes tuning
.................. 178
5.6.3
Critical states in Koch fractal lattices
......... 184
5.7
Transport properties of Fibonacci superlattices
........ 191
5.7.1
dc conductance
...................... 191
5.7.2
Disorder effects
...................... 194
•5.8
Beyond one-dimensional models
................. 199
5.8.1
Two-band models
..................... 199
5.8.2
Three-dimensional effects
................ 200
Vil
The aperiodic crystal of life
209
6.1
The double helix
......................... 210
6.1.1
Diffraction by helices
................... 210
6.1.2
Unveiling double-stranded
DNA............. 217
6.2
Electronic structure of nucleic acids
............... 223
6.3
Charge transfer in
DNA:
What experiments say
........ 229
6.4
Modeling charge migration in
DNA............... 238
6.4.1
Effective single-stranded chains
............. 241
6.4.2
Double-stranded chains
................. 243
6.4.3
The role of contacts
................... 255
6.4.4
Helicoidal
structure and dynamical models
....... 258
6.4.5
Thermal and
vibrat
ional effects
............. 265
6.5
Long-range correlations: The biophysicist viewpoint
..... 275
6.5.1
General motivations
................... 275
6.5.2
Fibonacci
DNA...................... 276
6.5.3
Biological
DNA
chains
.................. 283
6.5.4
Comparison between different species
.......... 286
Exploiting aperiodic order in technological devices
299
7.1
Periodic versus aperiodic
..................... 299
7.2
Layered systems
......................... 301
7.2.1
From quantum to classical waves
............ 301
7.2.2
Optical engineering
.................... 305
7.2.3
Thermal emission control
................ 318
7.2.4
Photovoltaic cells
..................... 324
7.3
Photonic and phononic quasicrystals
.............. 329
7.3.1
Optical devices in two dimensions
............ 331
7.3.2
Three-dimensional arrays
................ 337
7.4
Complex metallic alloys
..................... 338
7.4.1
The basic strategy: Smart materials
.......... 338
7.4.2
Hard coatings and thermal barriers
........... 341
7.4.3
Hydrogen storage
..................... 343
7.4.4
Surface catalysis
..................... 345
7.4.5
Thermoelectric materials
................. 345
7.5
DNA-based nanoelectronics
................... 349
7.5.1
Peltier nanocells
..................... 349
7.5.2
Codon sequencing
.................... 359
Novel designs based on the aperiodic order
371
8.1
Order and design: The technological viewpoint
........ 371
8.2
One-dimensional designs
..................... 373
8.2.1
Hybrid order multilayers
................. 373
8.2.2
Conjugation and mirror symmetries
.......... 377
8.2.3
Distorted quasiperiodicity
................ 380
8.3
Two- and three-dimensional designs
.............. 382
Vlil
8.3.1
Aperiodic squares
.....................382
8.3.2
Spherical stacks and optical lattices
...........385
8.4
Beyond quasiperiodic order: Aperiodicity by design
......387
8.5
Some open questions
.......................390
Mathematical tools
399
9.1
Almost periodic and quasiperiodic functions
..........399
9.2
Transfer matrix technique
....................400
9.3
Trace map formalism
.......................404
9.4
Renormalization matrix methods
................409
9.5
Diagnostic tools
..........................417
9.5.1
Density of states
.....................417
9.5.2
Transmission coefficient
.................418
9.5.3 Landauer
conductance
..................419
9.5.4
Lyapunov coefficient
...................421
Index
429
Series in Condensed Matter Physics
Series Editor:
D R
Vij
[RIODIC STRUCTURES IN CONDENSED
MÄHER
«MENTALS AND APPLICATIONS
can be found in all the structures unfolding around us at different
íes, inciuding
in the arrangements of matter and in energy flow patterns.
îriodic
Structures in Condensed Matter Fundamentals and
xiications focuses on a spe·:: of order referred to as aperiodic
book covers several topics dealing
ole
of aperiodic order in
lerous domains of the physical sciences and technology. It first presents
satures
of
vario-.. ?ms.
The author
approaches
згорегіу
study the physical systems. Focusing on applied issues, he
;usses how to exploit aperioc it technological devices.
author a <a designs.
new to the field of aperiodic systems, this book is an excellent
лапу
facets and applications of aperiodic structures.
features
Exar
з
of aperiodic order in science and technology
Presents several aspects of various aperiodic systems, including
physical and structural properties
illustrates how to properly study physical systems through useful
a! approaches, such as quasiperiodic lattices, effective
ïnd
transfer matrices
ered
optical systems, photonic and
etaltic alloys, and DNA-based
|
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| id | DE-604.BV035336217 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:34Z |
| institution | BVB |
| isbn | 9781420068276 |
| language | English |
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| physical | XII, 443 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| publisher | CRC Press |
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| series2 | Series in condensed matter physics |
| spelling | Maciá Barber, Enrique Verfasser aut Aperiodic structures in condensed matter fundamentals and applications Enrique Maciá Barber Boca Raton [u.a.] CRC Press 2009 XII, 443 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in condensed matter physics Condensed matter Structure Aperiodischer Kristall (DE-588)4492275-9 gnd rswk-swf Kristallstruktur (DE-588)4136176-3 gnd rswk-swf Kristallstruktur (DE-588)4136176-3 s Aperiodischer Kristall (DE-588)4492275-9 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017140581&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017140581&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Maciá Barber, Enrique Aperiodic structures in condensed matter fundamentals and applications Condensed matter Structure Aperiodischer Kristall (DE-588)4492275-9 gnd Kristallstruktur (DE-588)4136176-3 gnd |
| subject_GND | (DE-588)4492275-9 (DE-588)4136176-3 |
| title | Aperiodic structures in condensed matter fundamentals and applications |
| title_auth | Aperiodic structures in condensed matter fundamentals and applications |
| title_exact_search | Aperiodic structures in condensed matter fundamentals and applications |
| title_full | Aperiodic structures in condensed matter fundamentals and applications Enrique Maciá Barber |
| title_fullStr | Aperiodic structures in condensed matter fundamentals and applications Enrique Maciá Barber |
| title_full_unstemmed | Aperiodic structures in condensed matter fundamentals and applications Enrique Maciá Barber |
| title_short | Aperiodic structures in condensed matter |
| title_sort | aperiodic structures in condensed matter fundamentals and applications |
| title_sub | fundamentals and applications |
| topic | Condensed matter Structure Aperiodischer Kristall (DE-588)4492275-9 gnd Kristallstruktur (DE-588)4136176-3 gnd |
| topic_facet | Condensed matter Structure Aperiodischer Kristall Kristallstruktur |
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