NMR: tomography, diffusometry, relaxometry
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXIII, 526 S. Ill., graph. Darst. |
| ISBN: | 3540618228 |
Internformat
MARC
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| 100 | 1 | |a Kimmich, Rainer |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a NMR |b tomography, diffusometry, relaxometry |c Rainer Kimmich |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XXIII, 526 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 650 | 4 | |a Nuclear magnetic resonance |x Industrial applications | |
| 650 | 4 | |a Nuclear magnetic resonance |x Methodology | |
| 650 | 4 | |a Tomography | |
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Datensatz im Suchindex
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| adam_text | RAINER KIMMICH
NMR
TOMOGRAPHY
, DIFFUSOMETRY, RELAXOMETRY
WITH 127 FIGURES
SPRINGER
CONTENTS
PREFACE V
FREQUENT SYMBOLS AND ABBREVIATIONS XIX
PART I
: SPI
N COHERENCE
S AN
D ECHOE
S 1
1 INTRODUCTORY REMARKS 3
2 ISOLATED SPINS IN INHOMOGENEOUS FIELDS
7
2.1 TWO-PULSE HAH
N ECHO 7
2.2 THREE-PULS
E HAH
N ECHOES 11
2.3 GRADIENT-RECALLED ECHO 14
2.4 MULTIPLE ECHOES 16
3 ROTARY ECHOES 21
3.1 SIGNAL AT R
=
T
{
24
3.2 SIGNAL AT R
= 0 25
4 SOLID ECHOES OF DIPOLAR-COUPLED SPINS 26
4.1 TWO-PULSE DIPOLA
R SOLID ECHOES 26
4.1.1 SYSTEMS OF TWO EQUIVALENT SPINS 1/2 27
4.1.2 APPROXIMATE TREATMENT OF MULTI-SPIN 1/2 SYSTEMS 30
4.2 THREE-PULSE DIPOLA
R SOLID ECHOES 34
5 SOLID ECHOES OF
I
= 1 QUADRUPOLE NUCLEI 37
5.1 TWO-PULSE QUADRUPOLA
R SOLID ECHO 37
5.2 THREE-PULS
E QUADRUPOLA
R SOLID ECHOES 39
6 DIPOLAR AND QUADRUPOLAR MAGIC ECHOES 42
6.1 PRINCIPL
E 42
6.2 THE MAGIC SANDWICH PULSE SEQUENCE 44
6.3 DIPOLAR-COUPLE
D TWO-SPIN 1/2 SYSTEMS 46
6.4 MIXED ECHOES 49
CONTENTS
COHERENCE TRANSFER OF /-COUPLE
D SPINS 51
7.1 TWO RF PULSES 52
7.1.1 CORRELATE
D TWO-DIMENSIONAL SPECTROSCOPY 54
7.1.2 ECHO FORMATIO
N 57
7.1.3 SPIN-ECHO CORRELATE
D 2D SPECTROSCOPY 59
7.1.4 HOMONUCLEA
R / RESOLVED 2D SPECTROSCOPY 60
7.2 THREE RF PULSES 60
7.2.1 LONGITUDINAL-MAGNETIZATIO
N TRANSFER ECHO 62
7.2.2 SCALAR-ORDER TRANSFER ECHO 64
7.2.3 ZERO-QUANTU
M COHERENCE-TRANSFER ECHO 65
7.2.4 SINGLE-QUANTU
M COHERENCE-TRANSFER ECHOES 67
7.2.5 DOUBLE-QUANTU
M COHERENCE-TRANSFER ECHO 68
7.3 MULTIPLE-QUANTU
M COHERENCE BASED SPECTROSCOPY 71
7.3.1 DOUBLE-QUANTU
M FILTERED CORRELATE
D SPECTROSCOPY (DQF
COSY) 72
7.3.2 DOUBLE-QUANTUM/SINGLE-QUANTU
M CORRELATE
D SPECTROSCOPY . 74
7.4 DISCRIMINATIO
N OF COHERENCE-TRANSFER ECHOES 75
PART II
: MOLECULAR MOTION 77
8 SURVEY 79
9 CATEGORIZATION OF RELAXATION PHENOMENA 81
9.1 GENERAL REMARK
S 81
9.1.1 OBSERVABLES SUBJECT T
O RELAXATION 81
9.1.2 SPIN INTERACTION
S SUBJECT T
O FLUCTUATION
S 83
9.1.3 THE AUTOCORRELATIO
N AN
D TH
E INTENSIT
Y FUNCTION
S 84
9.2 LIMITS AN
D DEFINITIONS FOR SPIN-LATTICE RELAXATION 85
9.3 LIMITS AN
D DEFINITIONS FOR TRANSVERSE RELAXATION 86
9.3.1 IRREVERSIBILITY AN
D SPIN-SYSTEM SIZE 87
9.3.2 IRREVERSIBILITY AN
D MOLECULAR MOTION 87
9.3.3 CLASSIFICATION OF TRANSVERSE RELAXATION 88
10 SPIN-RELAXATION FUNCTIONS 90
10.1 THE HOMONUCLEA
R BLOCH EQUATION
S 90
10.2 SOLUTIONS FOR LABORATORY-FRAM
E EXPERIMENT
S 92
10.3 SOLUTIONS FOR ROTATING-FRAME EXPERIMENT
S 92
11 PERTURBATION THEORY OF SPIN RELAXATION
97
11.1 ITERATIVE APPROXIMATIO
N 97
11.2 THE MASTER EQUATIO
N 100
12 SPIN-LATTICE RELAXATION 102
12.1 LABORATORY-FRAM
E SPIN-LATTICE RELAXATION BY DIPOLA
R COUPLING . . . 102
12.1.1 REDUCED DIPOLAR CORRELATION AN
D INTENSIT
Y FUNCTION
S ...
. 107
CONTENTS X
I
12.1.2 S-SPIN-EQUILIBRIUM LIMIT 108
12.1.3 LIKE-SPIN LIMIT 109
12.2 LABORATORY-FRAM
E SPIN-LATTICE RELAXATION BY OTHE
R INTERACTION
S . . 110
12.2.1 SCALAR COUPLING 110
12.2.2 QUADRUPOLA
R COUPLING
(I -
1) 113
12.2.3 CHEMICAL-SHIFT ANISOTROP
Y 114
12.3 ROTATING-FRAM
E SPIN-LATTICE RELAXATION BY DIPOLAR COUPLING ...
. 114
13 TRANSVERSE RELAXATION 116
13.1 MOTIONAL-AVERAGING LIMIT 116
13.1.1 SINGLE-QUANTU
M COHERENCES OF DIPOLAR-COUPLE
D SPIN PAIRS . 116
13.1.2 SINGLE-QUANTU
M COHERENCE
S OF
(I
= 1) QUADRUPOL
E NUCLEI . 118
13.1.3 MULTIPLE-QUANTU
M COHERENCE
S 118
13.2 LOCAL-FIELD THEOR
Y 118
13.2.1 THE ANDERSON/WEISS ANSATZ 119
13.2.2 THE SECOND MOMEN
T
{ P
2
}
120
13.2.3 PARTIA
L MOTIONAL AVERAGING 123
14 EXAMPLES OF AUTOCORRELATION FUNCTIONS 125
14.1 ISOTROPI
C CONTINUOU
S ROTATIONAL DIFFUSION 126
14.2 DISCRETE-COUPLING JUMP MODELS 128
14.2.1 TWO-STATE JUMP MODEL 130
14.3 REORIENTATIO
N MEDIATED BY TRANSLATIONAL DISPLACEMENTS 131
14.3.1 DIFFUSION ON RUGGED SURFACES 134
14.3.2 LEVY-WALK SURFACE DIFFUSION 136
15 FIELD-CYCLING NMR RELAXOMETRY 138
15.1 LABORATORY-FRAM
E EXPERIMENT
S 138
15.1.1 FIELD-CYCLING MAGNETS 139
15.1.2 THE SWITCHING INTERVALS 140
15.2 SPIN-LOCK ADIABATIC FIELD-CYCLING IMAGIN
G RELAXOMETRY 143
15.2.1 ADIABATIC VARIATION OF TH
E EFFECTIVE FIELD 143
15.2.2 SPIN-LOCK FIELD-CYCLING LABORATORY-FRAM
E IMAGIN
G RELAX
OMETR
Y 144
15.2.3 SPIN-LOCK FIELD-CYCLING ROTATING-FRAM
E IMAGING 147
16 FIELD-CYCLING RELAXOMETRY IN BIOSYSTEMS 149
16.1 FLUCTUATION
S IN PROTEINS 151
16.2 FLUCTUATION
S I
N LIPID BILAYERS 152
16.3 DEUTERO
N TI FREQUENC
Y DISPERSION OF PROTEI
N SOLUTIONS 152
16.4 CRITICAL WATER CONTENT
S 155
16.5 PROTO
N RELAXATION IN TISSUE 157
17 THE DIPOLAR-CORRELATION EFFECT 159
17.1 OUTLIN
E OF ATTENUATIO
N MECHANISMS AN
D TIME SCALES 160
17.1.1 THE MOTIONAL-AVERAGING CONTRIBUTIO
N T
O ECHO ATTENUATIO
N . 161
XII CONTENTS
17.1.2 THE RESIDUAL-COUPLING CONTRIBUTIO
N T
O ECHO MODULATION . . 161
17.2 DENSITY-OPERATO
R FORMALIS
M FOR EQUIVALENT TWO-SPIN 1/2 SYSTEMS . 162
17.2.1 TH
E MODIFIED PRIMAR
Y ECHO 163
17.2.2 THE MODIFIED STIMULATED ECHO 165
17.3 THE DIPOLAR-CORRELATIO
N QUOTIEN
T 166
17.3.1 EXPONENTIA
L CORRELATIO
N FUNCTIO
N 168
17.3.2 CORRELATIO
N FUNCTIO
N FOR LIQUID-CRYSTAL DIRECTOR FLUCTUATION
S 169
17.4 APPLICATIONS OF TH
E DIPOLAR-CORRELATIO
N EFFECT 172
17.4.1 MACROSCOPIC ORDE
R 172
17.4.2 SHORT-RANGE ORDE
R AN
D POLYMERS 174
18 SURVEY OF NMR DIFFUSOMETRY
175
18.1 THE DIFFUSION PROPAGATO
R 176
19 MAIN-FIELD GRADIENT NMR DIFFUSOMETRY 179
19.1 THE PRINCIPLE 179
19.2 PULSED-GRADIENT SPIN-ECHO (PGSE) DIFFUSOMETRY 182
19.2.1 TH
E DISPLACEMENT-CORRELATIO
N FUNCTIO
N 182
19.2.2 THE MEAN SQUARE
D PHASE SHIFT . 183
19.2.3 THE ECHO-ATTENUATION FACTOR FOR ANOMALOU
S DIFFUSION . . . 184
19.2.4 TH
E ECHO-ATTENUATION FACTOR FOR ORDINAR
Y DIFFUSION ...
. 185
19.2.5 DIRECT EVALUATION OF TH
E MEAN SQUARE
D DISPLACEMENT ...
. 185
19.3 STEADY-GRADIENT SPIN-ECHO (SGSE) DIFFUSOMETRY 185
19.3.1 ECHO-ATTENUATION FACTORS 186
19.3.2 RELAXATION-COMPENSATE
D PULSE SEQUENCES 187
20 RECIPROCAL- VS REAL-SPACE REPRESENTATIONS 191
20.1 THE GENERALIZED RECIPROCAL-SPACE FORMALIS
M 192
20.2 THE REAL-SPACE REPRESENTATION 193
20.2.1 THE LONGITUDINAL-MAGNETIZATIO
N GRID 193
20.2.2 ONE-DIMENSIONA
L REAL-SPACE EVALUATION 196
20.2.3 TWO-DIMENSIONAL REAL-SPACE EVALUATION 196
20.2.4 GEOMETRICA
L CONFINEMENTS 198
21 RF-FIELD-GRADIENT NMR DIFFUSOMETRY 200
21.1 MAGNETIZATION-GRI
D ROTATING-FRAM
E IMAGING 200
21.1.1 RAPID MAGROFI DIFFUSOMETRY 203
21.1.2 EXPERIMENTA
L ASPECTS OF MAGROFI DIFFUSOMETRY 203
21.2 COMPARISO
N OF
B
O
AN
D
BI
GRADIENT METHOD
S 206
22 EXAMPLES FOR ANOMALOUS SELF-DIFFUSION 208
22.1 ANOMALOU
S DIFFUSION I
N LACUNA
R SYSTEMS 208
22.2 REPTATION/TUBE MODEL 209
22.2.1 THE DOI/EDWARDS LIMITS 209
22.2.2 EVALUATION FORMUL
A FOR PGSE/SGSE EXPERIMENT
S 211
CONTENTS
XIII
23
EXCHANGE 216
23.1 EQUATIO
N OF MOTIO
N FOR DISCRETE SPIN ENVIRONMENT
S 217
23.1.1 INTERPRETATIO
N OF TH
E HMM MATRICES 218
23.1.2 HMM SOLUTIONS IN TERMS OF EIGENVALUES 219
23.1.3 TWO-ENVIRONMENT-EXCHANGE MODEL 220
23.2 TWO-DIMENSIONAL EXCHANGE SPECTROSCOPY 222
23.2.1 MATRI
X FORMALIS
M 224
23.2.2 EXCHANGE BETWEEN TWO ENVIRONMENT
S 227
23.2.3 COMPARISO
N WITH 2D EXCHANGE NQR SPECTROSCOPY 228
PART III : LOCALIZATIO
N AN
D IMAGIN
G 23
1
24 SURVEY 233
25 FUNDAMENTALS OF NMR IMAGING 238
25.1 SLICE SELECTION BY SOFT PULSES 238
25.1.1 APPROXIMATIO
N FOR SMALL TIP ANGLES 240
25.1.2 FREQUENTL
Y USED PULSESHAPES 243
25.1.3 REFOCUSING OF TH
E COHERENCE
S 245
25.1.4 VARIATION OF TH
E SLICE WIDTH AN
D POSITION 246
25.2 PHASE ENCODIN
G 246
25.3 (LARMOR
) FREQUENC
Y ENCODIN
G 247
25.4 TWO- AN
D THREE-DIMENSIONA
L FOURIER IMAGIN
G 247
25.4.1 2DFT IMAGIN
G 248
25.4.2 3DFT IMAGING 249
25.4.3 GRADIENT-RECALLED SPIN-ECHO IMAGIN
G 251
25.4.4 ECHO-PLANA
R IMAGIN
G 252
26 PARAMETER-WEIGHTED CONTRASTS 254
26.1 CONTRAS
T PARAMETER
S OF CONVENTIONAL IMAGES 254
26.2 CONTRAST
S IN GRADIENT-ECHO TOMOGRAPHY 255
26.3 RELAXATION-WEIGHTED CONTRAST
S 257
26.4 FUNCTIONA
L TOMOGRAPHY 258
26.5 DIFFUSIVE ATTENUATIO
N AN
D EDG
E ENHANCEMENT
260
27 RELAXATION-DISPERSION MAPS 261
28 FREQUENCY-OFFSET MAPS 266
28.1 MRSI PULSE SEQUENCES 267
28.2 THEOR
Y OF MRSI 268
28.3 POST-DETECTIO
N MRSI DATA PROCESSIN
G 269
28.4 POST-DETECTIO
N CORRECTIO
N OF FREQUENCY-OFFSET ARTIFACTS 270
28.5 SPECTROSCOPIC MAPS AN
D SHIFT-SELECTIVE IMAGES 273
29 GRADIENT-PULSE MOMENTS AND MOTIONS 277
XI
V CONTENTS
29.1 BIPOLAR GRADIEN
T PULSES 278
29.2 VELOCITY-COMPENSATED GRADIEN
T PULSES 280
30 VELOCIMETRY AND VELOCITY MAPS 283
30.1 PHASE ENCODIN
G OF TH
E VELOCITY 284
30.2 MAPPING OF VELOCITY FIELDS 284
30.3 TYPICAL APPLICATIONS 286
31 DIFFUSIVITY MAPS 290
32 RESOLUTION 293
32.1 FIELD OF VIEW, SPECTRAL WIDTH
, VELOCITY RANGE 293
32.2 DIGITAL RESOLUTION 296
32.3 PHYSICAL RESOLUTION LIMITS 298
32.3.1 SPATIAL IN-PLANE RESOLUTION 298
32.3.2 THE SENSITIVITY LIMIT 301
33 MULTI-STRIPE/PLANE TAGGING 303
33.1 DANTE PULSE COMBS 303
33.2 IMAGING PULSE SCHEME AN
D APPLICATIONS 305
34 ROTATING-FRAME IMAGING 312
34.1 NUTATIO
N FREQUENC
Y ENCODIN
G 312
34.2 MULTI-DIMENSIONAL REPRESENTATION
S 314
34.3 RAPID ROTATING-FRAME IMAGIN
G 314
35 IMAGING OF SOLID SAMPLES 316
35.1 EXPERIMENTA
L STRATEGIES OF MATERIALS IMAGIN
G 317
35.1.1 THE RESERVOIR OF CONTRAS
T PARAMETER
S 317
35.1.2 THE SPATIAL-RESOLUTION PROBLEM 318
35.2 MAGIC- AN
D MIXED-ECHO PHASE-ENCODIN
G IMAGIN
G 321
35.3 MAGNETIC RESONANCE FORCE MICROSCOPY 322
36 SLICE-SELECTIVE HOMONUCLEAR SPIN-LOCKING 325
36.1 REVIEW OF SLICE-SELECTION PRINCIPLES 325
36.2 THEOR
Y OF SLICE SELECTION BY SPIN-LOCKING 326
36.2.1 LIQUID-STATE LIMIT 327
36.2.2 SOLID-STATE LIMIT 328
36.3 VARIATION OF TH
E SLICE WIDT
H AN
D POSITION 337
37 HOMONUCLEAR LOCALIZED NMR 340
37.1 THE HOMONUCLEA
R VOSY/VOSING FAMILY 342
37.1.1 DOUBLE-QUANTU
M VOLUME-SELECTIVE SPECTRAL EDITIN
G 345
37.1.2 CYCLIC POLARIZATIO
N TRANSFER VOLUME-SELECTIVE SPECTRAL EDITIN
G 351
37.1.3 VOLUME-SELECTIVE RELAXOMETRY, DIFFUSOMETRY, AN
D VELOCIMETRY 357
37.2 THE HOMONUCLEA
R LOSY PULSE SEQUENCE 359
CONTENTS X
V
38 CROSS-POLARIZATION PRINCIPLES 360
38.1 CATEGORIZATION OF CROSS-POLARIZATION TECHNIQUES 360
38.2 SPATIALLY SELECTIVE HH-MATCHIN
G 362
38.3 ADIABATIC / CROSS-POLARIZATIO
N 363
38.3.1 ADIABATIC LEVEL-CROSSING CONDITIO
N 364
38.3.2 THE PRINCIPL
E OF ADIABATIC / CROSS-POLARIZATION 365
39 SINGLE-TRANSITION OPERATOR THEORY OF CROSS-POLARIZATION 367
39.1 WEAKLY COUPLED AX SPIN SYSTEMS 367
39.1.1 LABORATORY-FRAM
E HAMILTONIA
N 368
39.1.2 TRANSFORMATIO
N T
O TH
E TILTED DOUBLY-ROTATING FRAM
E ...
. 368
.3 SINGLE-TRANSITION OPERATO
R REPRESENTATION 369
.4 SOLUTION OF TH
E LIOUVILLE/VON NEUMAN
N EQUATIO
N 371
.5 THE CROSS-POLARIZE
D MAGNETIZATION
S 374
.6 HH-MATCHE
D RESONANT CROSS-POLARIZATIO
N 375
.7 HH-MISMATCH LOSSES OF RESONANT CROSS-POLARIZATION (VJCP) 376
39.
39.
39.
39.
39.
39.
OFF-RESONANCE LOSSES OF HH CROSS-POLARIZATIO
N (JCP-LOSY) 378
39.1.9 RESONANT ADIABATIC / CROSS-POLARIZATION (AJCP) 379
39.1.10 ADIABATIC / CROSS POLARIZATIO
N LOCALIZED SPECTROSCOPY (AJCP
LOSY) 380
39.2 FROM TWO-SPIN T
O MULTI-SPIN SYSTEMS AN
D SOLIDS 380
40 PROTON-DETECTED LOCALIZED
13
C
NMR 382
40.1 HETERONUCLEA
R MQF-VOSING SPECTROSCOPY 383
40.2 CYCLIC CROSS-POLARIZATIO
N LOCALIZED SPECTROSCOPY (CYCLCROP-LOSY) 385
41 HETERONUCLEAR IMAGING 388
41.1 PROTON-DETECTE
D
13
C IMAGIN
G 389
41.1.1 MULTIPLE-QUANTU
M EDITED HYDROCARBO
N MAPS 389
41.1.2 CROSS-POLARIZATIO
N EDITED HYDROCARBO
N MAPS 391
PART IV : ANALYTICAL NMR TOOLBOX 395
42 MISCELLANEOUS FORMULAE AND RULES 397
42.1 SOME ALGEBRAIC SYMBOLS 397
42.2 THE DELTA FUNCTIO
N 397
42.3 FOURIER TRANSFORMS 398
42.4 SPHERICAL HARMONIC
S 402
42.5 CLASSIFICATION OF OPERATOR
S 405
42.6 SPIN-OPERATO
R RELATIONS 405
42.6.1 SPIN-OPERATO
R REPRESENTATION
S 405
42.6.2 LADDE
R OPERATOR
S 407
42.6.3 SPHERICAL SPIN OPERATOR
S 408
42.6.4 RELATIONS FOR SPIN-1/2 OPERATOR
S 408
42.6.5 RELATIONS FOR SPIN-1 OPERATOR
S 408
XVI CONTENTS
42.6.6 TWO-SPIN SYSTEMS 409
42.6.7 SINGLE-TRANSITION OPERATOR
S 409
42.6.8 AN INSTRUCTIV
E EXAMPLE 410
43 RULES FOR TRACES 411
44 COMMUTATOR ALGEBRA 414
44.1 GENERAL OPERATOR
S 414
44.2 SPIN OPERATOR
S 414
45 EXPONENTIAL AND TRIGONOMETRIC OPERATORS 416
46 SPIN HAMILTONIANS 418
46.1 ZEEMAN INTERACTIO
N 418
46.2 RF IRRADIATIO
N 419
46.3 INTERNA
L SPIN INTERACTION
S 419
46.3.1 CHEMICAL-SHIFT INTERACTIO
N 422
46.3.2 DIPOLAR, SCALAR, AN
D INDIREC
T COUPLINGS 423
46.3.3 QUADRUPOLA
R AN
D SPIN-ROTATION COUPLINGS 426
47 THE DENSITY OPERATOR 427
47.1 DEFINITION OF TH
E DENSITY OPERATO
R 427
47.2 THERMA
L EQUILIBRIU
M 429
47.3 EVOLUTION OF TH
E DENSITY OPERATOR 432
47.3.1 SEGMENTED TREATMENT
S 433
47.3.2 AVERAGE HAMILTONIAN
S 434
48 UNITARY TRANSFORMATIONS IN NMR 435
48.1 DIAGONALIZATION OF A MATRI
X 435
48.1.1 THE EIGENVALUE PROBLEM 435
48.1.2 TRANSFORMATION MATRICES 436
48.1.3 THE INVERSE MATRI
X 437
48.2 COORDINAT
E SYSTEMS 438
48.3 EULER ANGLES 438
48.4 TRANSFORMATION OF TH
E CHEMICAL-SHIFT TENSOR 439
48.5 TRANSFORMATIONS BY SINGLE-SPIN OPERATOR
S 440
48.5.1 TRANSFORMATION T
O TH
E ROTATING FRAM
E 442
48.5.2 RF PULSES AN
D UNITAR
Y TRANSFORMATIONS 443
48.5.3 PRECESSION 443
48.6 TRANSFORMATIONS BY BILINEAR SPIN-1/2 OPERATOR
S 444
48.7 EQUATION
S OF MOTION IN TH
E ROTATING FRAM
E 445
48.7.1 CLASSICAL PRECESSION EQUATIO
N 445
48.7.2 LIOUVILLE/VON NEUMAN
N EQUATIO
N 446
48.7.3 TIME DEPENDEN
T SCHRODINGER EQUATIO
N 447
48.7.4 HEISENBER
G EQUATIO
N 447
48.8 ROTATING-FRAME HAMILTO
N OPERATOR
S 448
CONTENTS XVII
48.9 DIPOLA
R HAMILTONIA
N IN TH
E TILTED ROTATING FRAME 449
48.10 QUADRUPOLA
R HAMILTONIA
N IN TH
E TILTED ROTATING FRAME 452
48.11 SPIN-SPIN COUPLING IN TH
E DOUBLY-ROTATING FRAME 453
49 IRREDUCIBLE SPHERICAL TENSOR OPERATORS 455
49.1 ROTATIONAL TRANSFORMATION OF 1ST OPERATOR
S 456
49.2 COMMUTATIO
N OF 1ST AN
D SPIN OPERATOR
S 457
49.3 ANALYTICAL FORM OF 1ST OPERATOR
S 458
49.4 WIGNER/ECKAR
T THEORE
M 459
49.5 SELECTION RULES FOR STATIONAR
Y NUCLEAR MOMENT
S 461
49.6 1ST REPRESENTATIO
N OF TH
E QUADRUPOLA
R HAMILTONIA
N 463
50 DERIVATION OF BASIC NMR SPECTRA 467
50.1 PAKE SPECTRU
M 467
50.1.1 DIPOLA
R COUPLING 467
50.1.2 QUADRUPOLA
R COUPLIN
G 470
50.2 CHEMICAL-SHIFT ANISOTROP
Y SPECTRU
M 470
50.3 A
2
, AB, AN
D AX SPECTRA 472
51 PRODUCT OPERATORS FOR SPINS 1/2 475
51.1 SIMPLE EXAMPLE OF A PRODUC
T OPERATO
R BASIS SET 476
51.2 ORTHOGONALIT
Y 477
51.3 MATRI
X INTERPRETATIO
N 477
51.3.1 EXAMPLE 1: IN-PHAS
E SINGLE-QUANTU
M COHERENCES 478
51.3.2 EXAMPLE 2: MULTIPLE-QUANTU
M COHERENCES 479
51.3.3 EXAMPLE 3: LONGITUDINA
L SCALAR ORDE
R 480
51.3.4 SUMMAR
Y OF TH
E INTERPRETATION
S OF CARTESIAN PRODUC
T
OPERATOR
S 481
51.4 HAMILTONIAN
S AN
D APPLICABILITY LIMITS 481
51.5 EVOLUTION RULES FOR CARTESIA
N PRODUC
T OPERATOR
S 485
51.6 EVOLUTION RULES FOR SPHERICAL PRODUC
T OPERATOR
S 488
52 SPIN OPERATORS FOR / = 1 QUADRUPOLE NUCLEI 493
REFERENCES 497
SUBJECT INDEX 517
|
| any_adam_object | 1 |
| author | Kimmich, Rainer |
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| author_sort | Kimmich, Rainer |
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| callnumber-first | Q - Science |
| callnumber-label | QC762 |
| callnumber-raw | QC762 |
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| callnumber-sort | QC 3762 |
| callnumber-subject | QC - Physics |
| classification_rvk | UM 3500 UP 9410 VG 9500 YR 2520 |
| ctrlnum | (OCoLC)36215015 (DE-599)BVBBV011135514 |
| dewey-full | 538/.362 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 538 - Magnetism |
| dewey-raw | 538/.362 |
| dewey-search | 538/.362 |
| dewey-sort | 3538 3362 |
| dewey-tens | 530 - Physics |
| discipline | Chemie / Pharmazie Physik Medizin |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV011135514 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:04:34Z |
| institution | BVB |
| isbn | 3540618228 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007462682 |
| oclc_num | 36215015 |
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| owner_facet | DE-355 DE-BY-UBR DE-703 DE-29T DE-19 DE-BY-UBM DE-20 DE-634 DE-11 DE-188 |
| physical | XXIII, 526 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| spelling | Kimmich, Rainer Verfasser aut NMR tomography, diffusometry, relaxometry Rainer Kimmich Berlin [u.a.] Springer 1997 XXIII, 526 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ressonancia nuclear magnetica (medicina) larpcal Résonance magnétique nucléaire ram Tomographie ram Nuclear magnetic resonance Industrial applications Nuclear magnetic resonance Methodology Tomography NMR-Spektroskopie (DE-588)4075421-2 gnd rswk-swf Kernspintomografie (DE-588)4120806-7 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Kernspintomografie (DE-588)4120806-7 s DE-604 NMR-Spektroskopie (DE-588)4075421-2 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007462682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kimmich, Rainer NMR tomography, diffusometry, relaxometry Ressonancia nuclear magnetica (medicina) larpcal Résonance magnétique nucléaire ram Tomographie ram Nuclear magnetic resonance Industrial applications Nuclear magnetic resonance Methodology Tomography NMR-Spektroskopie (DE-588)4075421-2 gnd Kernspintomografie (DE-588)4120806-7 gnd |
| subject_GND | (DE-588)4075421-2 (DE-588)4120806-7 (DE-588)4151278-9 |
| title | NMR tomography, diffusometry, relaxometry |
| title_auth | NMR tomography, diffusometry, relaxometry |
| title_exact_search | NMR tomography, diffusometry, relaxometry |
| title_full | NMR tomography, diffusometry, relaxometry Rainer Kimmich |
| title_fullStr | NMR tomography, diffusometry, relaxometry Rainer Kimmich |
| title_full_unstemmed | NMR tomography, diffusometry, relaxometry Rainer Kimmich |
| title_short | NMR |
| title_sort | nmr tomography diffusometry relaxometry |
| title_sub | tomography, diffusometry, relaxometry |
| topic | Ressonancia nuclear magnetica (medicina) larpcal Résonance magnétique nucléaire ram Tomographie ram Nuclear magnetic resonance Industrial applications Nuclear magnetic resonance Methodology Tomography NMR-Spektroskopie (DE-588)4075421-2 gnd Kernspintomografie (DE-588)4120806-7 gnd |
| topic_facet | Ressonancia nuclear magnetica (medicina) Résonance magnétique nucléaire Tomographie Nuclear magnetic resonance Industrial applications Nuclear magnetic resonance Methodology Tomography NMR-Spektroskopie Kernspintomografie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007462682&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kimmichrainer nmrtomographydiffusometryrelaxometry |