Helical wormlike chains in polymer solutions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
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Heidelberg ; New York ; Dordrecht ; London
Springer
[2016]
|
| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | xiv, 511 Seiten Illustrationen, Diagramme |
| ISBN: | 9783662487143 9783662487167 |
Internformat
MARC
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| 005 | 20160714 | ||
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| 016 | 7 | |a 1098215990 |2 DE-101 | |
| 020 | |a 9783662487143 |c hbk. |9 978-3-662-48714-3 | ||
| 020 | |a 9783662487167 |c eBook |9 978-3-662-48716-7 | ||
| 035 | |a (OCoLC)950012523 | ||
| 035 | |a (DE-599)DNB1098215990 | ||
| 040 | |a DE-604 |b ger |e rda | ||
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| 044 | |a gw |c XA-DE-BE | ||
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| 100 | 1 | |a Yamakawa, Hiromi |d 1931- |e Verfasser |0 (DE-588)115588531 |4 aut | |
| 245 | 1 | 0 | |a Helical wormlike chains in polymer solutions |c Hiromi Yamakawa, Takenao Yoshizaki |
| 250 | |a Second edition | ||
| 264 | 1 | |a Heidelberg ; New York ; Dordrecht ; London |b Springer |c [2016] | |
| 264 | 4 | |c © 2016 | |
| 300 | |a xiv, 511 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Helicität |g Chemie |0 (DE-588)4333079-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Polymere |0 (DE-588)4046699-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Polymerlösung |0 (DE-588)4175242-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Polymere |0 (DE-588)4046699-1 |D s |
| 689 | 0 | 1 | |a Helicität |g Chemie |0 (DE-588)4333079-4 |D s |
| 689 | 0 | 2 | |a Polymerlösung |0 (DE-588)4175242-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Yoshizaki, Takenao |e Verfasser |0 (DE-588)1106394208 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o 10.1007/978-3-662-48716-7 |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-029003701 | ||
Datensatz im Suchindex
| _version_ | 1804176324990861312 |
|---|---|
| adam_text | CONTENTS
1
INTRODUCTION........................................................................
1.1 HISTORICAL
SURVEY.......................................................
1.2
SCOPE..........................................................................
REFERENCES
............................................................................
2 MODELS FOR POLYMER
CHAINS................................................
2.1 DISCRETE MODELS
........................................................
2.1.1 AVERAGECHAIN DIMENSIONS ..................
2.1.2 RANDOM-FLIGHT CHAINS: THE GAUSSIAN CHAIN
2.1.3 FREELY ROTATING CHAINS .......................
2.1.4 CHAINS WITH COUPLED ROTATIONS
THE ROTATIONAL ISOMERIC STATE MODEL........
2.2 CONTINUOUS
MODELS....................................................
REFERENCES..............................................................................
3 CHAIN STATISTICS: W O R IK E CHAINS . . . . . . . ..................
3.1 DEFINITION OF THE M
ODEL.............................................
3.2 DIFFUSION
EQUATIONS...................................................
3.2.1 GREEN FUNCTIONS
...........................................
3.2.2 FOKKER-PLANCKEQUATIONS .....................
3.2.3 PATH INTEGRALS AND FORMAL SOLUTIONS .........
3.3
MOMENTS....................................................................
3.3.1
( ( R
*
IK))N)
...........................................................
3.3.2 (R2M)
.
............................................................
3.4 DISTRIBUTION FUNCTIONS..............................................
3.4.1 ASYMPTOTIC BEHAVIOR: DANIELS-TVPE DISTRIBUTIONS
3.4.2 NEAR THE ROD LIMIT..............................................
3.5 DISCRETE VERSION OF THE WORMLIKE CHAIN ....................
REFERENCES.....................................................................................
1
1
N
5
7
O
S
* *
9
N
1
*
H
I
3
5
0
0
1
1
3
3
4
7
1
1
3
4
4
9
3
7
I
L
1
1
1
2
2
2
2
2
2
3
3
3
3
3
3
4
5
4 CHAIN STATISTICS HELICAL WORMLIKE CHAINS ................
A 1 FORMULATION OF THE MODEL..........................................
4.2 DIFFUSION
EQUATIONS...................................................
4.2 1 PATH INTEGRALS AND FOKKER-PLANCK EQUATIONS
4.2.2 THEFREE-PARTICLEGREEN FUNCTION ...........
4.2.3 FORMAL SOLUTIONS..........................................
4.3
MOMENTS....................................................................
4.3.1 (R.U
*) *
..........................................
:.
4.3.2 {RIM) AND(52) .............................................
4.3.3 PERSISTENCE VECTOR
.......................................
4.4 ANGULAR CORRELATION FUNCTIONS
.................................
4.4 1 EXPLICIT EXPRESSIONS FOR
*
= 0 .._.
4.4.2 THE ROTATIONAL ISOMERIC STATE MODEL........
4.4.3 SYMMETRY RELATIONS
....................................
4.4.4 NUMERICAL RESULTS
.......................................
4.5 HELICAL NATURE OF THE CHAIN
.......................................
4.6 DISTRIBUTION FUNCTIONS
..............................................
4.6 1 GENERAL DEVELOPMENTS
.................................
4.6.2 DANIELS-TYPE DISTRIBUTIONS........... ........
4.6.3 MOMENT-BASED DISTRIBUTIONS .......
4.6.4 CONVERGENCE................................................
4., APPROXIMATIONS
........................................................
4.7.1 WEIGHTING FUNCTION METHOD .....
4.7.2 EPSILON METHOD
...........................................
4.7.* CONVERGENCE.................................................
4.8 SOME OTHER TOPICS
....................................................
4.8.1 MULTIVARIATE DISTRIBUTION FUNCTIONS, ETC. ....
4.8.2 TEMPERATURE COEFFICIENTS OF (R2) ............
REFERENCES.............................................................................
5 EQUILIBNUIN
PROPERTIES......................................................
5.1 M E AN -S Q U I RADIUS OF GYRATION
..............................
5.1.1 BASIC EQUATIONS AND MODEL PARAMETERS .....
5.1.2 CHAIN STIFFNESS AND LOCAL CHAIN CONFORMATIONS
5.1.3 HW MONTE CARLO CHAINS ............. .......
5.2 SCATTERING
FUNCTION...................................................
5.2.1 SCATTERING FUNCTION FOR THE CHAIN CONTOUR.
5.2.2 COMPARISON WITH THE RIS MODEL ...........
5.2.3 EFFECTS OF CHAIN THICKNESS..................
5.2.4 COMPARISON WITH EXPERIMENT...............
5.2.5 RING POLYMERS
...........................................
5.3 ANISOTROPIC LIGHT SCATTERING: MEAN-SQUARE OPTICAL
ANISOTROPY................................................................
5.3.1 BASIC EQUATIONS..........................................
5.3.2 COMPONENTS OF THE SCATTERED INTENSITY .....
9
9
4
4
7
0
2
3
4
7
0
1
*
2
6
8
2
3
4
7
1
4
6
6
1
4
6
6
6
6
9
9
9
2
4
6
6
2
4
9
3
5
5
8
5
5
6
6
6
7
S
7
7
7
8
8
8
X
8
9
9
9
9
0
0
0
0
1
1
1
1
*
2
2
2
2
3
3
3
3
4
4
4
5
5
5
5
CONTENTS XI
5.3.3 MEAN-SQUARE OPTICAL ANISOTROPY
....................................
164
5.3.4 ISOTOPIE SCATTERING FUNCTION
.......................................... 169
5.3.5 NEAR THE ROD LIM
IT.......................................................... 172
5.4 ELECTRICAL
PROPERTIES...........................................................................
*
75
5.4.1 MEAN-SQUARE ELECTRIC DIPOLE MOMENT.................... 175
5.4.2 ELECTRIC
BIREFRINGENCE...................................................... 179
5.4.3 ELECTRIC DICHROISM
...........................................................
183
REFERENCES.................................................................................................
189
6 B N S P O R T
PROPERTIES..............................................................................
193
6.1 GENERAL CONSIDERATION OF POLYMER HYDRODYNAMICS ................ 193
6.2 HYDRODYNAMIC
MODELS...................................................................
195
6.2 1 CYLINDER M
ODEL.................................................................
195
6.2.2 TOUCHED-BEAD
MODEL....................................................... 200
6.3 TRANSLATIONAL FRICTION COEFFICIENT
.................................................
202
6.3.1 CYLINDER M
ODEL................................................................ 202
6.3.2 TOUCHED-BEAD
MODEL....................................................... 207
6.4 INTRINSIC
VISCOSITY..........................................................................
208
6.4.1 CYLINDER M ODEL
.................................................
.... 208
6.4.2 TOUCHED-BEAD
MODEI....................................................... 215
6.5 ANALYSIS OF EXPERIMENTAL D ATA
.....................................................
219
6.5.1 BASIC EQUATIONS AND MODEL PARAMETERS ................... 219
6.5.2 REDUCED HYDRODYNAMIC VOLUME AND RADIUS ............. 224
6.5.3 NEGATIVE INTRINSIC
VISCOSITY............................................. 227
6.5.4 DRAINING E
FFECT................................................................
229
6.6 RING
POLYMERS................................................................................
230
6.6.1 TRANSLATIONAL FRICTION COEFFICIENT............. . . . . . . . . .
. . . . 230
6.6.2 INTRINSIC VISCOSITY
...........................................................
232
6.6.3 APPLICATION TO DN A
........................................................
234
REFERENCES.................................................................................................
247
7 APPLICATIONS TO CIRCULAR
DNA................................................................. 251
7 1 RING-CLOSURE
PROBABILITIES..............................................................
2* ]
7.1.1
DEFINITIONS.......................................................................
251
7.1.2 LINKING-NUMBER-DEPENDENT RING-CLOSURE
PROBABILITY
..............................................
..... 253
7.1.3 RING.CLOSURE PROBABILITY WITH THE END
ORIENTATIONS
SPECIFIED...................................................... 259
7 1 *4 OTHER RING-CLOSURE PROBABILITIES .......... 263
7.1.5 COMPARISON WITH
EXPERIMENT.......................................... 207
7.2 TOPOISOMER STATISTICS
.....................................................................
270
7.2.1 BASIC CONCEPTS AND
EQUATIONS......................................... 270
7.2.2 DISTRIBUTION OF THE
WRITHE................................................ 272
7.2.3 MOMENTS OF THE WRITHE
....................................................
276
7.2.4 DISTRIBUTION OF THE LINKING NUMBER . . . . . ..................
279
7.2.5 MEAN-SQUARE RADII OF GYRATION
.......................................
281
XII CONTENTS
7.3 TRANSLATIONAL FRICTION COEFFICIENT OF TOPOISOMERS..................
285
REFERENCES.................................................................................................
289
8 EXCLUDED* VOLUME
EFFECTS.......................................................................
291
8.1 END-DISTANCE AND GYRATION-RADIUS EXPANSION FACTORS 291
8.1.1 PERTURBATION THEORY
........................................................
291
8.1.2 RINGCLOSURE PROBABILITIES AND THE FIRST-ORDER
COEFFICIENT.......................................................................
295
8.1.3 EFFECTS OF CHAIN STIFFNESS:
QUASI-TWO-PARAMETER SCHEMA
........................................
302
8.1.4 COMPARISON WITH
EXPERIMENT.......................................... 305
8.2 VISCOSITY- AND HYDRODYNAMIC-RADIUS EXPANSION FACTORS ......... 310
8.2.1 EFFECTS OF CHAIN STIFFNESS AND FLUCTUATING
HYDRODYNAMIC INTERACTION
..............................................
310
8.2.2 COMPARISON WITH
EXPERIMENT.......................................... 312
8.3 SECOND VIRIAL
COEFFICIENT.................................................... 321
8.3.1 PERTURBATION THEORY
........................................................
321
8.3.2 EFFECTS OF CHAIN STIFFNESS AND LOCAL CHAIN
CONFORMATIONS.................................................................
325
8.3.3 EFFECTS OF CHAIN E N D
S...................................................... 327
8.3.4 EFFECTS OF THREE-SEGMENT INTERACTIONS ......... 329
8.3.5 COMPARISON WITH
EXPERIMENT.......................................... 333
8.4 THIRD VIRIAL COEFFICIENT
......................................................
337
8.4.1 PERTURBATIONTHEORYFORTHERANDOM-FHGHTCHAIN ....... 337
8.4.2 EFFECTS OF CHAIN STIFFNESS AND THREE-SEGMENT
INTERACTIONS.......................................................................
339
8.4.3 EFFECTS OF CHAIN E N D
S...................................................... 343
8.5 SOME
REMARKS.....................................................................
344
8.5.1 NEAR THE (
H
) TEMPERATURE
..................................................
344
8.5.2 RING
POLYMERS.................................................................
350
8.5.3 TEMPERATURE COEFFICIENTS OF UNPERTURBED
CHAIN DIMENSIONS
...........................................................
353
REFERENCES.................................................................................................
359
9 SIMULATION AND MORE ON EXCLUDEDVOLUME EFFECTS.....................
363
9.1 MEAN.SQUARE RADIUS OF
GYRATION........................................ 363
9.1.1 MODEL AND M ETHODS
........................................................
363
9.1.2 ANALYSIS OF MONTE CARLO D ATA
........................................
366
9 1.3 RECONSIDERATION OF THE UNPERTURBED STATE 370
9.2 SECOND VIRIAL COEFFICIENT
...................................................
372
9.2.1 MODEL AND M ETHODS
........................................................
372
9.2.2 AVERAGED INTERMOLECULAR
POTENTIAL................................... 375
9.2.3 ANALYSIS OF MONTE CARLO D
ATA......................................... 376
9.3 POLYELECTROLYTES
...................................................................
382
9.3.1 MODEL
..............................................................................
382
9.3.2 DETERMINATION OF THE UNPERTURBED STATE................... 385
CONTENTS XIII
9.3.3 PERSISTENCE LENGTH
...........................................................
388
9.3.4 EXCLUDED-VOLUME STRENGTH
..............................................
392
9.4 PICTURE OF DILUTE SOLUTION BEHAVIOR OF POLYMERS...................
396
REFERENCES.................................................................................................
397
10 CHAIN D YNAM ICS
.....................................................................................
399
10.1 GENERAL CONSIDERATION OF .... 399
10.2 CONVENTIONAL BOND CHAINS
...........................................................
401
10.2.1 GENERAL FORMULATION: THE FIXMAN-KOVAC CHAIN ......... 401
10.2.2 SOME FURTHER REMARKS
....................................................
403
10.3 DYNAMIC HELICAL WORMLIKE CHAINS
..............................................
404
10.4 DIFFUSION
EQUATIONS.......................................................................
406
10.4** SPACE OF BOND AND INFINITESIMAL ROTATION VECTORS ..... 406
10.4.2 SPACE OF EULER ANGLES: LOCAL MOTIONS . . .................. 409
10.4.3 SPACEOFEULERANGLES: GLOBAL M O TIO N S ................... 413
10.4.4 APPROXIMATION TO THE CONSTRAINING M A*IX................ 415
10.4.5 FORMAL SOLUTIONS
..............................................................
417
10.5 EIGENVALUE PROBLEMS AND TIME-CORRELATION FUNCTIONS...* 419
10.5.1 STANDARD BASIS S ET
...........................................................
419
10.5.2 CRUDE SUBSPACE
APPROXIMATION...................................... 422
10.5.3 BLOCK-DIAGONAL
APPROXIMATION...................................... 424
10.5.4 HIGHER-ORDER SUBSPACE APPROXIMATION ................... 427
REFERENCES.................................................................................................
434
11 DYNAMICAL
PROPERTIES..............................................................................
437
1 .
** DIELECTRIC RELAXATION
.....................................................................
437
11.1.1
FORMULATION......................................................................
437
11.1.2 EIGENVALUE SPECTRA AND MODE ANALYSIS ................... 441
11.1.3 COMPARISON WITH
EXPERIMENT.......................................... 443
11.2 NUCLEAR MAGNETIC RELAXATION
........................................................
447
11.2.1 FORMULATION
.....................................................................
447
11.2.2 EIGENVALUE SPECIA AND 450
11.2.3 SPECTRAL
DENSITIES.............................................................
451
1 2 .4 * * COMPARISON WITH EXPERIMENT
.......................................
4**3
11.3 FLUORESCENCE
DEPOLARIZATION..........................................................
4
*
0
11.3*
FORMULATION......................................................................
456
11.3.2 COMPARISON WITH
EXPERIMENT.......................................... 458
11.4 DYNAMIC DEPOLARIZED LIGHT
SCATTERING......................................... 460
11.4.1
FORMULATION......................................................................
460
1 4 .2 * * COMPARISON WITH EXPERIMENT
.......................................
462
11.4.3 CORRELATION WITH NUCLEAR MAGNETIC RELAXATION ........... 464
11.5 FIRST CUMULANT OF THE DYNAMIC STRUCTURE FACTOR ...................
466
11.5.1
FORMULATION......................................................................
466
11.5.2 COMPARISON WITH
EXPERIMENT.......................................... 469
XIV CONTENTS
11.6 SOME
REMARKS................................................................................
472
11.6.1 ELEMENTARY PROCESSES OF CHAIN MOTIONS 472
11.6.2 DYNAMIC VS. STATIC CHAIN STIFFNESS . . . . ....................
472
11.6.3 DYNAMIC INTRINSIC
VISCOSITY............................................. 474
11.6.4 EXCLUDED-VOLUME EFFECTS ON THE FIRST CUMULANT ......... 475
REFERENCES.................................................................................................
475
A COEFFICIENTSAR*) *N EQ.
(3.72)..................................................................
479
B COEFFICIENTSA*
*
) IN
EQ.(4.81)..................................................................
481
C C O E LIE N TS E M(
*
C
*
,T
*
)A N D
*
R/
**
MW(I
**
* R
*
) . . . . . . . . . . . . . .............. 483
D COEFFICIENTS *N EQ. (6.31)
....................................................................
487
E COEFFICIENTS
** *
IN EQ.
(6.122)..................................................................
489
GLOSSARY OF
ABBREVIATIONS..............................................................................
493
AUTHOR
INDEX....................................................................................................
495
SUBJECT
INDEX..................................................................................................
503
|
| any_adam_object | 1 |
| author | Yamakawa, Hiromi 1931- Yoshizaki, Takenao |
| author_GND | (DE-588)115588531 (DE-588)1106394208 |
| author_facet | Yamakawa, Hiromi 1931- Yoshizaki, Takenao |
| author_role | aut aut |
| author_sort | Yamakawa, Hiromi 1931- |
| author_variant | h y hy t y ty |
| building | Verbundindex |
| bvnumber | BV043589246 |
| classification_rvk | VK 5700 VK 8000 |
| ctrlnum | (OCoLC)950012523 (DE-599)DNB1098215990 |
| dewey-full | 541.2254 540 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 541 - Physical chemistry 540 - Chemistry and allied sciences |
| dewey-raw | 541.2254 540 |
| dewey-search | 541.2254 540 |
| dewey-sort | 3541.2254 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie |
| edition | Second edition |
| format | Book |
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| id | DE-604.BV043589246 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:30:23Z |
| institution | BVB |
| isbn | 9783662487143 9783662487167 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029003701 |
| oclc_num | 950012523 |
| open_access_boolean | |
| owner | DE-703 DE-11 |
| owner_facet | DE-703 DE-11 |
| physical | xiv, 511 Seiten Illustrationen, Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| spelling | Yamakawa, Hiromi 1931- Verfasser (DE-588)115588531 aut Helical wormlike chains in polymer solutions Hiromi Yamakawa, Takenao Yoshizaki Second edition Heidelberg ; New York ; Dordrecht ; London Springer [2016] © 2016 xiv, 511 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Helicität Chemie (DE-588)4333079-4 gnd rswk-swf Polymere (DE-588)4046699-1 gnd rswk-swf Polymerlösung (DE-588)4175242-9 gnd rswk-swf Polymere (DE-588)4046699-1 s Helicität Chemie (DE-588)4333079-4 s Polymerlösung (DE-588)4175242-9 s DE-604 Yoshizaki, Takenao Verfasser (DE-588)1106394208 aut Erscheint auch als Online-Ausgabe 10.1007/978-3-662-48716-7 B:DE-101 application/pdf http://d-nb.info/1098215990/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029003701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yamakawa, Hiromi 1931- Yoshizaki, Takenao Helical wormlike chains in polymer solutions Helicität Chemie (DE-588)4333079-4 gnd Polymere (DE-588)4046699-1 gnd Polymerlösung (DE-588)4175242-9 gnd |
| subject_GND | (DE-588)4333079-4 (DE-588)4046699-1 (DE-588)4175242-9 |
| title | Helical wormlike chains in polymer solutions |
| title_auth | Helical wormlike chains in polymer solutions |
| title_exact_search | Helical wormlike chains in polymer solutions |
| title_full | Helical wormlike chains in polymer solutions Hiromi Yamakawa, Takenao Yoshizaki |
| title_fullStr | Helical wormlike chains in polymer solutions Hiromi Yamakawa, Takenao Yoshizaki |
| title_full_unstemmed | Helical wormlike chains in polymer solutions Hiromi Yamakawa, Takenao Yoshizaki |
| title_short | Helical wormlike chains in polymer solutions |
| title_sort | helical wormlike chains in polymer solutions |
| topic | Helicität Chemie (DE-588)4333079-4 gnd Polymere (DE-588)4046699-1 gnd Polymerlösung (DE-588)4175242-9 gnd |
| topic_facet | Helicität Chemie Polymere Polymerlösung |
| url | http://d-nb.info/1098215990/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029003701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yamakawahiromi helicalwormlikechainsinpolymersolutions AT yoshizakitakenao helicalwormlikechainsinpolymersolutions |
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Inhaltsverzeichnis