Preface |
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vii | |
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1 | (8) |
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1 | (2) |
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3 | (3) |
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6 | (1) |
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7 | (1) |
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8 | (1) |
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9 | (20) |
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9 | (1) |
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9 | (4) |
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2.3 Examples of crystal structures |
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13 | (5) |
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18 | (3) |
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2.5 Surface-to-volume ratio |
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21 | (4) |
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25 | (1) |
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26 | (1) |
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27 | (2) |
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29 | (32) |
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29 | (1) |
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3.2 de Broglie wavelength |
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29 | (3) |
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32 | (3) |
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35 | (5) |
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40 | (2) |
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42 | (1) |
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3.7 The Fermi energy, Fermi velocity, and Kubo gap |
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43 | (6) |
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3.8 The mean free path in metals |
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49 | (6) |
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55 | (1) |
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56 | (1) |
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57 | (2) |
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59 | (2) |
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4 Types of Nanostructures |
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61 | (12) |
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61 | (10) |
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4.2 Bottom-up or top-down |
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71 | (1) |
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71 | (1) |
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72 | (1) |
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72 | (1) |
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5 Absorption and Emission Basics |
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73 | (28) |
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73 | (1) |
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5.2 Exponential attenuation law |
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73 | (3) |
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76 | (1) |
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77 | (2) |
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79 | (6) |
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5.6 Using the absorption cross section |
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85 | (3) |
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88 | (2) |
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5.8 Einstein A and B coefficients |
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90 | (3) |
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5.9 Relating absorption cross sections to excited-state lifetimes |
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93 | (3) |
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96 | (1) |
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96 | (3) |
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99 | (1) |
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99 | (2) |
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6 A Quantum Mechanics Review |
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101 | (36) |
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101 | (1) |
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101 | (4) |
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6.3 Observables and the correspondence principle |
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105 | (3) |
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6.4 Eigenvalues and eigenfunctions |
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108 | (1) |
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109 | (1) |
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110 | (2) |
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6.7 Dirac bra-ket notation |
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112 | (2) |
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114 | (1) |
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115 | (1) |
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115 | (3) |
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6.11 More commutator relationships |
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118 | (1) |
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6.12 The uncertainty principle |
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119 | (1) |
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6.13 The Schrodinger equation |
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119 | (3) |
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6.14 The postulates of quantum mechanics |
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122 | (2) |
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6.15 Time-independent, nondegenerate perturbation theory |
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124 | (9) |
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133 | (1) |
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133 | (3) |
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136 | (1) |
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136 | (1) |
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7 Model Quantum Mechanics Problems |
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137 | (42) |
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137 | (1) |
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7.2 Standard model problems |
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137 | (9) |
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7.3 Model problems for wells, wires, and dots |
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146 | (29) |
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175 | (1) |
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176 | (1) |
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177 | (1) |
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178 | (1) |
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8 Additional Model Problems |
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179 | (24) |
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179 | (1) |
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8.2 Particle in a finite one-dimensional box |
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179 | (7) |
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8.3 Particle in an infinite circular box |
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186 | (3) |
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189 | (9) |
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198 | (1) |
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198 | (3) |
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201 | (1) |
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201 | (2) |
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203 | (36) |
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203 | (5) |
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9.2 Density of states for bulk materials, wells, wires, and dots |
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208 | (9) |
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9.3 Population of the conduction and valence bands |
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217 | (10) |
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227 | (1) |
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9.5 Joint density of states |
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227 | (7) |
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234 | (1) |
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234 | (3) |
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237 | (1) |
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237 | (2) |
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239 | (36) |
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239 | (1) |
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10.2 The Kronig-Penney model |
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239 | (11) |
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10.3 Kronig-Penney model with delta-function barriers |
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250 | (10) |
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260 | (11) |
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10.5 Metals, semiconductors, and insulators |
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271 | (1) |
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271 | (1) |
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272 | (1) |
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273 | (1) |
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273 | (2) |
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11 Time-Dependent Perturbation Theory |
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275 | (20) |
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275 | (2) |
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11.2 Time-dependent perturbation theory |
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277 | (4) |
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11.3 Example: A two-level system |
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281 | (4) |
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285 | (3) |
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288 | (1) |
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288 | (3) |
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291 | (3) |
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294 | (1) |
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295 | (50) |
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295 | (1) |
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12.2 Preliminaries: -μ E versus -(q/m0)A P |
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295 | (2) |
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12.3 Back to transition probabilities |
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297 | (1) |
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298 | (3) |
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12.5 Equivalence of H(1) = -(q/m0)A P and H(1) = -μ E |
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301 | (2) |
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303 | (2) |
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12.7 Fermi's golden rule and the associated transition rate |
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305 | (1) |
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12.8 Absorption coefficient α |
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305 | (4) |
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12.9 Transitions in low-dimensional semiconductors |
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309 | (34) |
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343 | (1) |
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343 | (1) |
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344 | (1) |
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344 | (1) |
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345 | (30) |
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345 | (1) |
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13.2 Molecular beam epitaxy (MBE) |
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345 | (1) |
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13.3 Colloidal growth of nanocrystals |
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346 | (2) |
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13.4 Semiconductor nanocrystals |
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348 | (18) |
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366 | (5) |
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371 | (1) |
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371 | (1) |
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372 | (3) |
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375 | (42) |
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375 | (1) |
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14.2 Anatomy of chemically synthesized nanostructures |
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375 | (1) |
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14.3 Sizing nanostructures |
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376 | (30) |
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406 | (1) |
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14.5 Characterizing the core's elemental composition |
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406 | (1) |
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14.6 Characterizing the surface |
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407 | (4) |
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14.7 Optical characterization |
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411 | (1) |
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412 | (1) |
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413 | (1) |
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414 | (3) |
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417 | (24) |
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417 | (1) |
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417 | (13) |
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15.3 Metal nanostructures |
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430 | (6) |
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436 | (1) |
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437 | (1) |
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437 | (1) |
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438 | (2) |
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440 | (1) |
Appendix |
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441 | (2) |
Index |
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443 | |