Parinov I.A. Microstructure and Properties of High-Temperature Superconductors
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Index
A-15, 15, 486, 488, 506
ab-plane properties, 40, 42, 54, 57, 60,
68, 92, 138, 151, 164, 171, 284,
309, 315, 319, 337, 342, 344, 345,
467, 469, 486
Abrikosov
theory, 27, 33
vortices, 98, 441, 457
with Josephson core, 441
Acetate method, 60
Acoustic emission method, 105
Activation energy, 46, 255, 269
Additions
Ag, 76, 93, 139, 145, 170, 175
calcium, 52, 93, 169, 170
Ce, 93, 169
filaments, 87
fluorine, 3, 83
high-dense polyethylene, 87
particle dispersion, 87, 93
Pb, 74, 83, 230
PtO
2
, 93, 167, 170, 192
RE ions, 93
MgO whiskers, 87, 144, 149
Sn, 93, 169
TiO
2
,87
ZrO
2
, 87, 93, 178
Aerosol spray pyrolysis, 63, 65, 81
Annealing, 59, 70, 86, 144, 188, 251,
278, 281, 377, 485
temperature, 270, 282
time, 230, 283
Anomalous peak effect, 498
Ant into maze algorithm, 478, 481
Antiferromagnetic, 485, 489, 491, 494,
498
metal-insulator transition, 441
phase, 38, 500
spin fluctuations, 29
Antivortex, 43
Archimedes method, 100
Atomic-force microscopy, 99
Atomic magnetometer, 12
Atomic-scale defects, 46
Atomistic sharpness, 209
Avrami equation, 269, 276
Bardeen-Cooper-Schrieffer (BCS)
theory, 19, 28, 39, 490
Barenblatt-Dugdale model, 392
Baushinger effect, 298
Bean model, 335, 451, 454
Bell–like dependence, 33, 37, 439, 486,
492, 495
Bellman–Kalaba algorithm, 264
Bi-2212
covering, 83
film, 67
phase formation, 68
powder, 65, 70
re-crystallization, 282
tape, 67
Bi-2212/Bi-2223
phase transformation, 84, 137, 269,
272, 276, 280, 281
mutual overgrowth, 114, 127, 446
572 Index
Bi-2223
bulk,144, 400
plate-late grains, 127, 144
powder, 65, 70, 294, 295, 296,
tape, 107, 108, 127, 290, 295, 298, 469
Binary
flux-flow (FF) model, 459
Josephson junction (JJ) model, 459
Bi-polaron superconductivity, 30, 32
Bitter decoration method, 97
Bogolyubov quasi-particles, 32
Boltzmann statistics, 284
Bose-Einstein condensation, 27, 30
Boundaries
domains, 192, 316, 376
phases, 326, 369
twins, 186, 344, 376, 378, 446
Bridgman furnace, 326
Brillouin zone, 493
Bubble formation, 75, 154, 195, 231
Burn technique, 65
c-axis properties, 31, 40, 42, 54, 57, 68,
127, 138, 151, 164, 171, 284, 309,
315, 319, 342, 344, 469
Caloric equation, 201
Carbon, 65, 66, 183, 231
chemical potential, 202, 210
concentration, 201, 204, 211, 213,
216, 509
content, 63, 192, 195
diffusion, 189, 197, 198, 200, 204, 207,
208, 213, 214, 509
dissolution, 204, 512
embrittlement, 197, 509
flux, 199, 213, 509
interstitial, 208
nanotubes, 504
segregation, 183, 209, 211
solid solubility, 199, 202, 203, 204,
207, 509
superconductors, 501
Carbonate, 195, 197, 200, 201, 204, 510
chemical potential, 203
precipitation, 197, 198, 207, 208
fracture, 198
Cation modulation, 126
Cellular automata models, 326
Central limit theorem of statistics, 261
Chalcogens, 501
Charge
carrier, 35
concentration, 30, 503
qubit, 8
strips, 30, 37
Charts
fracture, 428, 431
material properties, 428, 429
Chemical
composition, 99
oxidation technique, 492
potential gradient, 197, 198
precipitation, 55
Chevrel phases, 488
Clausius-Mossotti approximation, 457
Cleavage planes, 261
Coherence length, 15, 20, 34, 39, 42, 47,
114, 125, 127, 188, 251, 438, 440,
447, 494, 506
Coherent coupling, 8, 27
Coincidence site lattice (CSL)
description, 435
constrained (CCSL), 437
Cold seeding, 94
Columnar defects, 48, 86
Combustion synthesis, 60
Compatibility
line, 294
point, 293
Composite beam theory, 374, 414
Concentration gradient, 198, 283, 304
Conduction band, 208
Cooling rate, 68, 87, 132, 156,
162, 309
Cooper pair, 20, 28, 30, 31, 37, 42,
49, 485
Copper excess, 121, 126
Co-precipitation technique, 65, 195
Coulomb
correlations, 491
repulsion, 493
Crack
amplification, 350, 364, 365, 381,
420, 433
blunting, 147, 410
branching, 147, 174, 353, 364,
372, 396
angle, 354
Index 573
bridging, 129, 175, 355, 365, 369, 372
bulges, 426
by ductile particles, 403
by brittle particles, 388, 390
catastrophic (unstable) growth, 360,
380, 422
cleavage, 393
coalescence, 350, 352, 365, 425
deflection, 129, 147, 174, 387, 398,
408, 426
driving force, 392
dynamical, 394
edge, 425
equilibrium fast, 209, 217
equilibrium slow, 209, 217
erratic, 358
fatigue, 392
inclined interface, 417
initiation condition, 349
intergranular, 261, 358, 366
long, 392, 425
opening condition, 349
out-of-plane, 426
pair, 425
path (trajectory), 262, 265
penny-shaped, 357, 424, 429
shielding, 352, 353, 371, 381, 410,
418, 433
short, 423, 425
stable (subcritical) growth, 197, 213,
360, 373, 380, 396, 422, 426
stationary, 371
steady-state, 209, 213, 215, 357,
372, 374, 375, 382, 414, 424, 425,
426, 429
straight, 424
tilt, 387, 396, 427
transgranular, 261, 357,
366, 396
transversal, 415
twist, 387, 396, 427
I mode, 261, 375
Criteria of superconductivity
existence, 4
Critical
current, 14, 74, 84, 108, 129, 140, 197,
230, 251, 308, 457, 459, 466, 467
density, 4, 14, 15, 69, 83, 86, 96,
99, 119, 128, 133, 136, 142, 144,
151, 158, 167, 170, 171, 175, 186,
195, 197, 335, 438, 440, 441, 445,
446, 447, 449, 456, 471, 473, 474,
500, 504, 505, 506
tunneling, 446
force depinning, 448
state, 451, 457
limit, 453
model, 333, 445
temperature, 1, 3, 15, 31, 32, 37,
42, 84, 119, 136, 189, 191, 439,
441, 485, 487, 489, 491, 492,
493, 494, 495, 499, 500, 501, 502,
504, 506
Cryogenic pumps, 8
Crystalline
state, 44
lattice, 127
Crystallographic texture, 69, 85, 400
Cubic model, 348
CuO
2
atomic planes, 2, 3, 30, 31, 32,
37, 40, 44, 46, 125, 128, 141, 170,
191, 494, 495, 499
buckling, 3, 495
Cuprate/carbonate composite, 199, 200,
201, 207
Current
circulation, 463
de-pairing, 15, 48
density, 15, 447
de-pinning, 459
probability function, 473
leakage, 12
magnetization, 446, 449
shielding, 331, 333
Current-limiting
equations, 467
mechanisms, 440
Cyclic
fatigue, 100, 391, 474
strains, 139
d-lines, 451, 452
d-symmetry, 32
Dayem bridge, 50, 436
Demagnetizing factor, 25, 26
Diamagnetism, 8, 22,
26, 183
Diamond, 504
574 Index
Diffusion, 402
volume, 280, 330
cations, 270
driving force, 308
ions, 270, 278
local thermal, 337
reaction, 83
zone, 304
Dihedral angle, 236, 239,
242, 245
Dilatancy
angle, 225, 228
rule, 228
Dimos model, 436
Dip-coat technique, 63
Dislocation
density, 128, 142, 156, 173
edge, 119, 124, 127, 156, 270, 272,
276, 279, 438, 440
intercrystalline, 120
mismatch, 413
network, 114, 126, 127, 440
partial, 121, 126
primary grain boundary (PGDBs),
119, 121, 124
screening, 209, 217
screw, 124, 127
secondary, 123
sources, 217
techniques, 389, 390
twinning, 174
wall, 156, 440
Dissipation
energy, 228
function, 229
Dissolving, 195
Divergence theorem, 199
Doctor-blade technique, 63
Domain
re-orientation, 371
structure, 373, 377, 413
twinning, 371, 447
wall, 380, 452
width, 371, 377
Doping level of cuprates
optimally doped, 37, 42
overdoped, 37, 52
underdoped, 37, 439
undoped, 32, 37
Drawing, 72, 290, 291, 295
Drucker-Prager model, 295
Dynamical condition for brittle
fracture, 395
Eden model, 323, 531
Effect of small doses, 86
Electric
ac- field, 26
dc- field, 26
drives, 8
resistivity, 15, 187, 506
Electromagnetic batteries, 13
Electron
beam evaporation, 57
conductivity, 208, 498
coupling (pairing), 27, 28, 39, 491
depletion, 126
dispersion law, 33
doping, 3, 37, 40, 501
impulse, 20
phonon interaction, 20, 29, 30, 495
probe microanalysis, 99
scattering, 438
state density, 50, 490
Electrophoretic deposition, 57, 58, 63
Energy
approach, 433
balance condition, 212, 216, 394
binding, 43, 210
conservation law, 201, 229
de-cohesion , 205
minimum condition, 399
flow, 200, 202, 204, 207
gap, 28, 30, 32, 39, 506
internal, 201
Entangled state, 8
Enthalpy, 201
Entropy rate, 201
Epitaxial growth, 53, 83, 154
Epoxy resin impregnation, 93, 182
Eshelby method, 378
Euler theorem, 229
Eutectic reaction, 188
Evaporation
process, 43
temperature, 43
ex situ methods, 53
Excitons, 29, 33
Index 575
Facet
critical size, 350
distribution, 120
junction, 120, 123, 126
nano-, 121
structure, 120, 123, 125
tilt, 125
twist, 125
Fault current limiters, 14, 85
Fermi
level, 28, 33, 208, 490, 500
surface, 32, 36, 485
velocity, 20, 39, 491, 506
Ferroelectrics, 338, 342, 353, 361, 369,
373, 383
Ferromagnetic state, 8, 489, 491, 494
Field transistors, 503
Figurative point, 302, 317
Filling systems, 8
Filtering, 195
Filtration, 62
Finger-like flux pattern, 443, 451
Finite-difference method, 253, 257, 327,
335, 338, 516
Finite-element method, 295, 350, 372,
398, 509
First critical field, 25, 34
First-order freezing transition, 46
Fish-tail effect, 442, 456
Flame synthesis, 60
Flow rule, 222, 223, 228, 229
Flux qubit, 8
Flux-grown bicrystals (FGB), 119, 125
Fluxon, 442, 447, 448
Fly-wheels, 8
Focused electron (ion) beam
irradiation, 51
Force
approach, 381, 433
balance condition, 331
Fourier law, 198
Fracture
de-bonding (de-lamination), 146, 174,
357, 365, 413, 416
de-cohesion, 205, 207
resistance, 207, 382, 407
saw-tooth, 410
stability theory, 416
toughness, 100, 152, 171, 178, 206,
258, 262, 265, 342, 344, 349, 355,
370, 371, 376, 386, 391, 392, 403,
411, 413, 428, 433
transversal, 420
with fiber pushing, 146, 422, 423
with grain pushing, 357, 365
Freedom parameter, 287, 290, 291, 293
Freeze drying, 60, 66
Friction
hill, 288, 295
valley, 295
Frictional locking, 418
Frustration effect, 493
Fulde-Ferrell-Larkin–Ovchinnikov
(FFLO) effect, 485
Fullerenes, 502
Fullerides, 502
Functional magnetic resonance
imaging, 11
Gap-formation process, 315
Gauss theorem, 229
Gaussian distribution, 469
Geometric similarity conception, 355
Giant magnetic resistance spin
valves, 12
Gibbs
free energy, 46
theory, 214
Gibbs–Thomson
effect, 325
relationship, 305
Ginzburg–Landau
parameter, 441
theory, 26, 27, 33, 39, 40, 42, 326,
438, 441, 457
Ginzburg-Landau-Abrikosov-Gor’kov
theory, 29
Glass-phase, 73
Glassy state, 44
Gossamer superconductors, 32
Grain
alignment, 68, 72, 85, 132, 139, 145,
285, 342, 469
boundary
coalescence, 238
diffusion, 233, 250
energy, 384
576 Index
junction, 51
high-angle, 121, 127, 154, 440,
453, 455
low-angle, 58, 174, 438, 440, 466,
469, 470
microcracking, 90, 258, 267, 353,
369, 398, 481
mobility, 245, 246, 248
rate, 234, 245, 246
radii of curvature, 245
tilt, 446, 454
twist, 124, 127, 469
wavy, 120
connectivity, 84, 85, 99, 133, 139, 143,
474, 483
faceted, 94
growth, 85, 94, 151, 232, 238, 239,
247, 248, 251, 255, 390
abnormal, 256, 338, 339, 365, 400
anisotropic, 312
cellular, 158, 164, 304, 319
cellular with undesirable nuclei, 164
geometrically caused, 328
inhibition (stagnation) parameter,
339, 352, 362, 365, 369, 400, 402
planar facet, 164, 319
polycrystal formation, 164
temperature, 94
nucleation, 255
plate-late, 83, 85, 127, 152, 369
size distribution, 231, 367
texture, 72, 133
Granular system with chaotic
structure, 523
Graph tree, 264, 265, 350, 366, 458
Green functions, 29, 423, 533
Grinding, 61, 170
Griffith formula, 149, 376
Griffith-Irwin theory, 380, 432
Heat
flux, 526
front, 252, 338
rate, 91, 158, 397
transfer
molecular component, 520
radiation component, 520
Heavy fermions, 29, 491
Heterogeneous nucleation, 167, 168
Heterostructure, 52
High pressure, 3, 486, 491, 493, 500,
501, 504
Hodograph transformation, 452, 454
Hole
concentration, 33, 438, 494
depletion, 125, 126, 441
doping, 3, 37, 40, 493, 498
Hooke law, 286
Hot
electron bolometers, 7
extrusion, 76, 290, 291
forging, 83, 85, 222
plastic deformation, 85
seeding, 94, 164
Hutchinson–Rice–Rosengren model, 210
Hybrid technology multi-threaded
(HTMT) architecture, 8
Immersion method, 100
in situ methods, 53, 55, 85
Inclined-Substrate-Pulsed-Laser-
Deposition (ISPLD), 57, 59
Infinite-layer compounds, 500
Inhibiting ligaments, 360
Interatomic interaction curve, 396
Intercalation,
Ca/CuO
2
, 269, 270, 272, 278, 279
CHCl
3
(CHBr
3
), 503
Interface
Bi-2212/Bi-2223, 86, 114, 127,
137, 276
BPSCCO/MgO, 149, 428
extrinsic, 52, 407
growing, 162, 313
intrinsic, 52, 407
kinetics, 309
metal (alloy)/ceramic, 139, 426
N-S, 27, 33, 68, 426
phenomena, 309
roughness, 408, 427
temperature, 304
undercooling, 307
Y-123/liquid, 309
Y-211/liquid, 304
Y-211/Y-123, 174, 344, 345
Interfacial energy relationship, 311,
312, 313