Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range

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adam_text NANOSCALE CALIBRATION STANDARDS AND METHODS DIMENSIONAL AND RELATED MEASUREMENTS IN THE MICRO- AND NANOMETER RANGE EDITED BY CUNTER WILKENING, LUDGER KOENDERS TECHNISCHE } INFORMATIONSBIBLIOTHEK UNIVERSITATSBIBLIOTHEK HANNOVER WILEY- VCH WILEY-VCH VERLAG GMBH & CO. KGAA CONTENTS PART I INSTRUMENTATION - OVERVIEW 1 METROLOGICAL SCANNING PROBE MICROSCOPES - INSTRUMENTS FOR DIMENSIONAL NANOMETROLOGY 3 HANS-ULRICH DANZEBRINK, FRANK POHLENZ, GAOLIANG DAI, AND CLAUDIO DAL SAVIO 1.1 INTRODUCTION 3 1.2 HIGH-RESOLUTION PROBING SYSTEMS 4 1.2.1 SENSOR OBJECTIVE WITH BEAM DEFLECTION DETECTION 5 1.2.2 SENSOR OBJECTIVE WITH PIEZOLEVER MODULE 7 1.2.3 SENSOR OBJECTIVE WITH TUNING FORK MODULE 8 1.2.4 SENSOR HEAD FOR COMBINED SCANNING PROBE AND INTERFERENCE MICROSCOPY 9 1.3 METROLOGY SYSTEMS BASED ON SCANNING PROBE MICROSCOPES 12 1.3.1 SCANNING FORCE MICROSCOPES OF TYPE VERITEKT 13 1.3.2 METROLOGICAL LARGE RANGE SCANNING FORCE MICROSCOPE 15 1.4 SUMMARY 18 ACKNOWLEDGMENTS 19 REFERENCES 19 / 2 NANOMETROLOGY AT THE IMCC 22 M. BISI, E. MASSA, A. PASQUINI, G. B. PICOTTO, AND M. PISANI 2.1 INTRODUCTION 22 2.2 SURFACE METROLOGY 23 2.2.1 SCANNING PROBE MICROSCOPY 23 2.2.2 OPTICAL DIFFRACTOMETRY 25 2.2.3 STYLUS PROFILOMETRY 27 2.3 ATOMIC SCALE METROLOGY 28 2.3.1 LATTICE PARAMETER OF SILICON 29 2.3.2 COMBINED OPTICAL AND X-RAY INTERFEROMETRY (COXI) 30 2.4 PHASE-CONTRAST TOPOGRAPY 31 2A.I DETECTION OF SMALL LATTICE STRAIN 31 2.4.2 PHASE-CONTRAST IMAGING 32 NANOSCALE CALIBRATION STANDARDS AND METHODS: DIMENSIONAL AND RELATED MEASUREMENTS IN THE MICRO- AND NANOMETER RANGE. EDITED BY G. WILKENING AND L. KOENDERS COPYRIGHT 2005 WILEY-VCH VERLAG GMBH & CO. KGAA, WEINHEIM ISBN 3-527-40502-X VI CONTENTS 2.5 2.6 NANOBALANCE CONCLUSIONS REFERENCES 34 35 36 3 METROLOGICAL APPLICATIONS OF X-RAY INTERFEROMETRY 38 ANDREW YACOOT 3.1 INTRODUCTION 38 3.2 MEASUREMENT OF NON-LINEARITY IN OPTICAL INTERFEROMETERS 40 3.3 COMBINED OPTICAL AND X-RAY INTERFEROMETRY 41 3.4 MEASUREMENT OF SMALL ANGLES 42 3.5 X-RAY INTERFEROMETRY AND SCANNING PROBE MICROSCOPY 43 3.6 CONCLUSIONS 43 REFERENCES 44 PART II INSTRUMENTATION - LONG-RANGE SCANNING PROBE MICROSCOPE 4 ADVANCES IN TRACEABLE NANOMETROLOGY WITH THE NANOPOSITIONING AND NANOMEASURING MACHINE 47 EBERHARD MANSKE, ROSTISLAV MASTYLO, TINO HAUSOTTE, NORBERT HQFINANN, AND GERD JAGER 4.1 INTRODUCTION 47 4.2 DESIGN AND OPERATION 48 4.3 UNCERTAINTY BUDGET 52 4.4 FOCUS SENSOR 53 4.5 MEASURING OPPORTUNITIES AND PERFORMANCE WITH FOCUS SENSOR 55 4.6 FOCUS PROBE WITH SFM CANTILEVER 58 4.7 CONCLUSION 58 ACKNOWLEDGEMENTS 59 REFERENCES 59 5 COORDINATE MEASUREMENTS IN MICROSYSTEMS BY USING AFM-PROBING: PROBLEMS AND SOLUTIONS 60 DOROTHEE HILSER, RALPH PETERSEN, AND HENDRIK ROTHE 5.1 INTRODUCTION 60 5.2 REALIZING CMMS FOR MICROSYSTEMS 61 5.3 PROBLEMS AND SOLUTIONS 64 5.3.1 DYNAMICS OF POSITIONING SYSTEM 64 5.3.2 CMM: ONE-MILLIMETER SCAN 67 5.3.3 MEASURING STRATEGIES 68 5.4 CONCLUSION AND OUTLOOK 71 REFERENCES 72 CONTENTS VII 6 METROLOGICAL LARGE RANGE SCANNING FORCE MICROSCOPE APPLICABLE FOR TRACEABLE CALIBRATION OF SURFACE TEXTURES 73 GAOLIANG DAI, FRANK POHLENZ, HANS-ULRICH DANZEBRINK, MIN XU, KLAUS HASCHE, GTINTER WILKENING 6.1 INTRODUCTION 74 6.2 INSTRUMENTATION 75 6.2.1 PRINCIPLE 75 6.2.2 METROLOGICAL PROPERTIES 76 6.2.3 TRACEABILITY 78 6.2.4 SPECIALLY DESIGNED FEATURES 79 6.3 MEASUREMENT RESULT OF A 2D-GRATING STANDARD 80 6.3.1 MEASUREMENT STRATEGY 80 6.3.2 DATA EVALUATION 82 6.3.3 MEASUREMENT RESULT OF THE MEAN PITCH VALUE 83 6.3.4 MEASUREMENT OF THE LOCAL PITCH VARIATION 83 6.4 A SELECTED MEASUREMENT RESULT OF A MICROROUGHNESS STANDARD 85 6.4.1 MEASUREMENT RESULT OF A GLASS FLATNESS STANDARD 86 6.4.2 MEASUREMENT OF A PTB MICROROUGHNESS STANDARD 87 6.4.3 COMPARISON OF THE ROUGHNESS MEASUREMENT RESULTS DERIVED FROM SFM AND STYLUS INSTRUMENTS USING GAUSSIAN FILTER 88 6.4.4 COMPARISON USING MORPHOLOGICAL FILTERS 89 6.4.5 EVALUATION RESULTS USING PTB REFERENCE SOFTWARE 90 6.5 OUTLOOK AND CONCLUSION 91 REFERENCES 92 PART III INSTRUMENTATION - DEVELOPMENT OF SPM AND SENSORS 7 TRACEABLE PROBING WITH AN AFM 95 K. DIRSCHERL AND K. R. KOOPS 7.1 INTRODUCTION 95 7.2 SETUP 96 7.3 CORRECTION FOR PIEZO NONLINEARITIES 10U 7.3.1 HYSTERESIS 200 7.3.2 DRIFT 102 7.4 REAL-TIME CONTROL THROUGH SSE2 ASSEMBLY 103 7.4 IMPLEMENTATION OF THE MEASUREMENT CONTROLLER 104 7.6 IMAGE ANALYSIS 105 7.7 CONCLUSIONS 207 ACKNOWLEDGMENTS 208 REFERENCES 208 8 SCANNING PROBE MICROSCOPE SETUP WITH INTERFEROMETRIC DRIFT COMPENSATION 209 ANDRZEJ SIKORA, DMITRI V. SOKOLOV, AND HANS U. DANZEBRINK 8.1 MOTIVATION 209 VIII CONTENTS 8.2 EXISTING SETUP - WITHOUT DRIFT COMPENSATION 2 22 8.3 MEASUREMENT METHOD AND SETUP FOR DRIFT COMPENSATION 212 8.4 EXPERIMENT AND RESULTS 225 8.5 SUMMARY 228 REFERENCES 228 9 DSP-BASED METROLOGICAL SCANNING FORCE MICROSCOPE WITH DIRECT INTERFEROMETRIC POSITION MEASUREMENT AND IMPROVED MEASUREMENT SPEED 229 GAOLIANG DAI, FRANK POHLENZ, HANS-TJLRICH DANZEBRINK, KLAUS HASCHE, AND GIINTER WILKENING 9.1 INTRODUCTION 229 9.2 INSTRUMENT 120 9.2.1 PRINCIPLE 120 9.2.2 DSP-BASED SIGNAL PROCESSING SYSTEM 122 9.2.3 CALIBRATION OF THE TIP SIGNAL FOR TRACEABLY MEASURING THE BENDING OF THE CANTILEVER 223 9.3 CORRECTION OF NONLINEARITY OF THE OPTICAL INTERFEROMETERS IN THE M-SFM 124 9.3.1 REVIEW OF NONLINEARITY CORRECTION METHODS 124 9.3.2 ADAPTED HEYDEMANN CORRECTION IN A FAST SERVO CONTROL LOOP 225 9.3.3 PERFORMANCE OF THE INTERFEROMETERS IN THE M-SFM VERITEKT C 226 9.4 IMPROVING THE MEASUREMENT SPEED 228 9.5 A MEASUREMENT EXAMPLE OF STEP-HEIGHT STANDARD 129 REFERENCES 130 10 COMBINED CONFOCAL AND SCANNING PROBE SENSOR FOR NANO-COORDINATE METROLOGY 131 DMITRI V. SOKOLOV, DMITRI V. KAZANTSEV, JAMES W. G. TYRRELL, TOMASZ HASEK, AND HANS U. DANZEBRINK 10.1 INTRODUCTION 132 10.2 INSTRUMENTATION AND EXPERIMENTAL DETAILS 133 10.3 RESULTS AND DISCUSSION 136 10.3.1 IMAGING IN THE CONFOCAL AND SPM MODE 136 10.3.2 ONE-DIMENSIONAL OPTICAL AND SPM MEASUREMENTS 138 10.4 SUMMARY AND CONCLUSIONS 141 ACKNOWLEDGMENTS 142 REFERENCES 142 11 COMBINED SHEAR FORCE-TUNNELING MICROSCOPE WITH INTERFEROMETRIC TIP OSCILLATION DETECTION FOR LOCAL SURFACE INVESTIGATION AND OXIDATION 244 ANDRZEJ SIKORA, TEODOR GOTSZALK, AND ROMAN SZELOCH 11.1 INTRODUCTION 144 11.2 INSTRUMENTATION 145 11.3 LOCAL SURFACE ELECTRICAL PROPERTIES INVESTIGATION 152 CONTENTS IX 11.4 LOCAL SURFACE OXIDATION 152 11.5 SUMMARY 154 ACKNOWLEDGEMENTS 155 REFERENCES 155 12 LOW NOISE PIEZORESISTIVE MICRO FORCE SENSOR 157 L. DOERING, E. PEINER, V. NESTEROV, AND U. BRAND 12.1 INTRODUCTION 157 12.2 MANUFACTURING OF THE SENSOR 158 12.2.1 COMPUTER AIDED DESIGN 158 12.2.2 MANUFACTURING OF THE SENSOR 158 12.3 SENSOR PROPERTIES 160 12.3.1 DOPING PROFILE 160 12.3.2 SPECTROSCOPIC NOISE ANALYSIS AND DETERMINATION OF THE HOOGE CONSTANT 163 12.3.3 FORCE CALIBRATION AND ELECTRICAL CALIBRATION 165 12.4 APPLICATION: FORCE CALIBRATION OF A STYLUS INSTRUMENT 167 12.5 CONCLUSIONS 169 REFERENCES 170 PART IV CALIBRATION - OVERVIEW 13 TOWARDS A GUIDELINE FOR SPM CALIBRATION 173 T. DZIOMBA, L. KOENDERS, AND G. WILKENING 13.1 INTRODUCTION 173 13.2 GENERAL 176 13.2.1 SCHEMATIC DESCRIPTION OF SPMS 176 13.2.2 METROLOGICAL CLASSIFICATION OF SPMS 177 13.2.3 CALIBRATION INTERVALS 178 13.3 VERIFICATION OF PROPERTIES OF INSTRUMENT, TIP AND ENVIRONMENT 178 13.3.1 AMBIENT CONDITIONS 179 13.3.2 FLATNESS MEASUREMENTS AND SIGNAL NOISE 179 13.3.3 REPEATABILITY AND NOISE 181 13.3.4 TIP SHAPE 182 13.4 CALIBRATION OF THE SCANNER AXES 183 13.4.1 LATERAL CALIBRATION 183 13.4.2 CALIBRATION OF THE VERTICAL AXIS 186 USING LASER INTERFEROMETERS 187 USING TRANSFER STANDARDS 188 EVALUATION OF STEP HEIGHT 188 13.5 UNCERTAINTY OF MEASUREMENTS 290 ACKNOWLEDGMENTS 291 REFERENCES 292 CONTENTS 14 TRUE THREE-DIMENSIONAL CALIBRATION OF CLOSED LOOP SCANNING PROBE MICROSCOPES 193 J. GARNAES, A. KUHLE, L. NIELSEN, AND F. BORSETTO 14.1 INTRODUCTION 193 14.2 MODEL OF THE MEASUREMENT SYSTEM 194 14.3 THE CORRECTION MATRIX 195 14.4 THEORY FOR ESTIMATING THE VERTICAL SKEW 196 14.5 EXPERIMENTAL RESULTS AND DISCUSSION 200 14.6 CONCLUSION 202 ACKNOWLEDGEMENTS 202 APPENDIX 203 REFERENCES 204 15 HEIGHT AND PITCH AT NANOSCALE - HOW TRACEABLE IS NANOMETROLOGY? 205 L. KOENDERS AND F. MELI 15.1 INTRODUCTION 205 15.2 COMPARISON ON ONE-DIMENSIONAL PITCH STANDARDS (NANO 4) 206 15.2.1 STANDARDS AND MEASURAND 206 15.2.2 PARTICIPANTS AND MEASUREMENT METHODS 207 15.2.3 RESULTS 208 15.2.4 UNCERTAINTY 210 15.2.5 DISCUSSION 211 15.3 COMPARISON ON STEP HEIGHT (NANO4) 212 15.3.1 STANDARDS 212 15.3.2 MEASUREMENT METHODS 213 15.3.3 RESULTS 214 15.3.4 UNCERTAINTIES 216 15.3.5 DISCUSSION 217 15.4 CONCLUSIONS 218 ACKNOWLEDGMENT 228 REFERENCES 219 16 THE BEHAVIOR OF PIEZOELECTRIC ACTUATORS AND THE EFFECT ON STEP-HEIGHT MEASUREMENT WITH SCANNING FORCE MICROSCOPES 220 A. GRANT, L. MCDONNELL, AND E. M. GIL ROMERO 16.1 INTRODUCTION 220 16.2 EXPERIMENTAL 222 16.2.1 SCANNING FORCE MICROSCOPES 222 16.2.2 Z CALIBRATION WITH STEP-HEIGHT STANDARDS 223 16.2.3 Z CALIBRATION WITH FIBER-OPTIC DISPLACEMENT SENSOR 223 16.3 RESULTS 224 16.3.1 EFFECT OF VOLTAGE SWEEP 224 16.3.2 EFFECT OF Z ACTUATOR OFFSET 225 16.3.3 IMPLICATIONS OF ACTUATOR OFFSET FOR SAMPLE TILT 227 16.3.4 IMPLICATIONS OF ACTUATOR OFFSET FOR SCANNER CURVATURE 227 CONTENTS XI 16.4 CONCLUSIONS 228 ACKNOWLEDGMENTS 228 REFERENCES 228 17 AN APPROACH TO THE DEVELOPMENT OF TOLERANCE SYSTEMS FOR MICRO- AND NANOTECHNOLOGY 230 J. SCHOBEL AND E. WESTKAMPER 17.1 INTRODUCTION 230 17.2 TOLERANCING AND STANDARDS 231 17.2.1 MEASUREMENT SYSTEMS ANALYSIS 232 17.2.2 STEP-HEIGHT MEASUREMENTS 232 17.2.3 MICROROUGHNESS 234 17.3 MACHINING EXPERIMENTS 235 17.3.1 MICROMILLING 235 17.3.2 SPUTTERING 237 17.4 CONCLUSIONS 240 REFERENCES 241 PART V CALIBRATION - STANDARDS FOR NANOMETROLOGY 18 STANDARDS FOR THE CALIBRATION OF INSTRUMENTS FOR DIMENSIONAL NANOMETROLOGY 245 L. KOENDERS, T. DZIOMBA, P. THOMSEN-SCHMIDT, AND G. WILKENING 18.1 INTRODUCTION 245 18.2 STANDARDS FOR SCANNING PROBE MICROSCOPY 246 18.2.1 FLATNESS STANDARD 246 18.2.2 TIP CHARACTERIZES 248 18.2.3 LATERAL STANDARDS 250 18.2.4 STEP-HEIGHT STANDARDS 252 18.2.5 NANOROUGHNESS STANDARDS 254 18.3 FILM THICKNESS STANDARDS 254 18.4 OUTLOOK 256 ACKNOWLEDGMENTS 256 REFERENCES 257 19 ATOMIC FLAT SILICON SURFACE FOR THE CALIBRATION OF STYLUS INSTRUMENTS 259 S. GROGER AND M. DIETZSCH 19.1 CALIBRATION OF STYLUS INSTRUMENTS 259 19.2 ATOMIC FLAT SILICON AS CALIBRATION STANDARD 263 19.3 SELECTION OF THE MEASUREMENT INSTRUMENT FOR THE ASSESSMENT OF FLATNESS 264 19.4 CALIBRATION OF THE STYLUS INSTRUMENT ME 10 265 19.5 CHARACTERISTICS OF THE MEASUREMENT INSTRUMENT AFTER MODIFICATION 267 19.6 CONCLUSIONS AND OUTLOOK 268 REFERENCES 268 XII CONTENTS 20 INVESTIGATIONS OF NANOROUGHNESS STANDARDS BY SCANNING FORCE MICROSCOPES AND INTERFERENCE MICROSCOPE 269 R. KRIXGER-SEHM, T. DZIOMBA, AND G. DAI 20.1 INTRODUCTION 269 20.2 STANDARDIZATION ASPECTS 270 20.3 MANUFACTURING OF CALIBRATION SPECIMENS 271 20.3.1 CONDITIONS FOR SMALLER ROUGHNESS 271 20.3.2 MANUFACTURING PROCESS 272 20.3.3 PROFILE REPETITION 273 20.4 MEASUREMENTS 274 20.4.1 IDENTIFICATION OF THE FIELDS OF INTEREST 274 20.4.2 CORRELATION OF FIELDS 274 20.4.3 MEASUREMENTS WITH INTERFERENCE MICROSCOPE 275 20.4.4 SCANNING FORCE MICROSCOPE MEASUREMENTS 276 20.4.5 LONG RANGE SFM MEASUREMENTS 278 20.4.6 RELATION TO PROVEN ROUGHNESS STANDARDS 279 20.5 CONCLUSIONS AND OUTLOOK 279 ACKNOWLEDGMENTS 281 REFERENCES 282 21 TESTING THE LATERAL RESOLUTION IN THE NANOMETRE RANGE WITH A NEW TYPE OF CERTIFIED REFERENCE MATERIAL 282 M. SENONER, TH. WIRTH, W. UNGER, W. OSTERLE, I. KAIANDER, R.I. SELLIN, AND D. BIMBERG 21.1 INTRODUCTION 282 21.2 DESCRIPTION OF THE REFERENCE MATERIAL 283 21.3 MODELING OF LATERAL RESOLUTION 284 21.3.1 ANALYSIS OF A NARROW STRIP 288 21.3.2 ANALYSIS OF A STRAIGHT EDGE 289 21.3.3 ANALYSIS OF GRATINGS 292 21.4 CONCLUSIONS 294 / ACKNOWLEDGMENTS 294 REFERENCES 294 PART VI CALIBRATION - TIP SHAPE 22 RECONSTRUCTION AND GEOMETRIC ASSESSMENT OF AFM TIPS 297 TORSTEN MACHLEIDT, RALF KASTNER, AND KARL-HEINZ FRANKE 22.1 INTRODUCTION 298 22.2 RECONSTRUCTION OF THE TACTILE TIP 299 22.2.1 IMAGING THE TIP USING SCANNING ELECTRON MICROSCOPY 299 22.2.2 RECONSTRUCTION BY KNOWN SAMPLE STRUCTURE 300 22.2.3 BLIND TIP ESTIMATION 302 22.2.4 MOTIVATION 302 22.2.5 TIP ASSESSMENT 302 CONTENTS XIII 22.2.5.1 TWO-DIMENSIONAL CHARACTERIZATION 302 22.2.5.2 GEOMETRICAL INTERPRETATION 303 22.2.5.3 TIP ANGLE 304 22.2.5.4 TIP RADIUS 305 22.2.5.5 TIP CURVATION 305 22.2.5.6 REVIEW 306 22.2.6 THREE-DIMENSIONAL CHARACTERIZATION 306 22.2.6.1 GEOMETRICAL INTERPRETATION 306 22.2.6.2 SIMULATED ANNEALING ALGORITHM 307 22.2.6.3 CONVERGENCE 308 22.2.7 EXPERIMENTAL RESULTS 309 22.3 SUMMARY AND OUTLOOK 309 REFERENCES 320 23 COMPARISON OF DIFFERENT METHODS OF SFM TIP SHAPE DETERMINATION FOR VARIOUS CHARACTERISATION STRUCTURES AND TYPES OF TIP 322 S. CZERKAS, T. DZIOMBA, AND H. BOSSE 23.1 INTRODUCTION 32 2 23.2 INSTRUMENTATION 322 23.3 RESULTS AND DISCUSSION 323 23.3.1 NEEDS OF CD METROLOGY 313 23.3.2 TIP SHAPE DETERMINATION 324 23.3.3 CONCLUSIONS 328 23.4 SUMMARY 320 REFERENCES 320 PART VII CALIBRATION - OPTICAL METHODS 24 DOUBLE TILT IMAGING METHOD FOR MEASURING APERTURE CORRECTION FACTOR 323 YEN-LIANG CHEN, CHAO-JUNG CHEN, AND GWO-SHENG PENG 24.1 INTRODUCTION 323 24.2 TRACEABILITY OF STEP HEIGHT 324 24.3 WORKING PRINCIPLE OF DIT METHOD 325 24.4 EXPERIMENTAL SETUP 326 24.5 RELATIVE STANDARD UNCERTAINTY OF NUMERICAL APERTURE CORRECTION FACTOR 328 24.6 UNCERTAINTY ANALYSIS OF THE NUMERICAL APERTURE CORRECTION FACTOR 329 24.7 CONCLUSION 329 REFERENCES 330 25 HOW STATISTICAL NOISE LIMITS THE ACCURACY OF OPTICAL INTERFEROMETRY FOR NANOMETROLOGY 331 VICTOR NASCOV 25.1 INTRODUCTION 331 25.2 OPTICAL INTERFEROMETRY OVERVIEW 332 XIV CONTENTS 25.2.1 TWO WAVES INTERFEROMETRY 332 25.2.2 MULTIPLE WAVES INTERFEROMETRY 337 25.3 STATISTICAL ERRORS ON PROCESSING ELEMENTARY FRINGE PATTERNS 337 25.4 WAVELENGTHS AND DISPLACEMENTS MEASUREMENT 340 25.5 ABSOLUTE DISTANCE MEASUREMENT 341 25.6 CONCLUSIONS 343 REFERENCES 344 26 UNCERTAINTY ANALYSIS OF THE PTB MEASURING EQUIPMENT FOR THE INVESTIGATION OF LASER INTERFEROMETERS 345 G. SPARRER AND A. ABOU-ZEID 26.1 INTRODUCTION 345 26.2 THE CALIBRATION FACILITY 346 26.3 MEASUREMENT PROCEDURE 348 26.4 THE UNCERTAINTY OF THE COMPLETE CALIBRATION FACILITY 349 26.4.1 THE MEASUREMENT UNCERTAINTY OF THE COMPARATOR 349 26.4.2 THE MEASUREMENT UNCERTAINTY OF THE STANDARD LASER INTERFEROMETER TAKING INTO ACCOUNT THE REFRACTIVE INDEX OF AIR AND THE THERMAL EXPANSION 352 26.4.3 THE EXPANDED MEASUREMENT UNCERTAINTY OF THE ENTIRE CALIBRATION FACILITY 355 SIGNS AND SYMBOLS OF THE MODEL EQUATIONS AND THE UNCERTAINTY BUDGETS: 356 REFERENCES 357 PART VIII APPLICATION - LATERAL STRUCTURES 27 LATERAL AND VERTICAL DIAMETER MEASUREMENTS ON POLYMER PARTICLES WITH A METROLOGY AFM 361 F. MELI 27.1 INTRODUCTION 361 27.2 EXPERIMENTAL SETUP 363 27.3 MEASUREMENT RESULTS AND DISCUSSION 365 27.3.1 HEIGHT MEASUREMENTS ON GOLD COLLOIDS 365 27.3.2 POSSIBLE SYSTEMATIC DEVIATIONS WITH HEIGHT MEASUREMENTS ON GOLD COLLOIDS 368 27.3.3 LATERAL MEASUREMENTS ON POLYMER SPHERES 370 27 A CONCLUSION 374 REFERENCES 374 28 PITCH AND CD MEASUREMENTS AT ANISOTROPICALLY ETCHED SI STRUCTURES IN AN SEM 375 C. G. FRASE, S. CZERKAS, H. BOSSE, YU. A. NOVIKOV, AND A. V. RAKOV 28.1 INTRODUCTION 376 28.2 GWPS SPECIMEN 376 CONTENTS XV 28.3 SEM INSTRUMENTATION 377 28.4 SEM IMAGE FORMATION AND MODELING 377 28.5 SEM MEASUREMENT METHOD 381 28.6 MEASUREMENT RESULTS 382 28.7 CONCLUSION 384 REFERENCES 384 29 ANALYSIS AND COMPARISON OF CD-SEM EDGE OPERATORS: A CONTRIBUTION TO FEATURE WIDTH METROLOGY 385 C.G. FRASE, W. HAJLLER-GROHNE, E. BUHR, K.-HAHM, AND H. BOSSE 29.1 INTRODUCTION 385 29.2 EXPONENTIAL FIT OPERATOR 387 29.2.1 SECONDARY ELECTRON IMAGE FORMATION AT STRUCTURAL EDGES 387 29.2.2 DEFINITION OF TOP CD OPERATOR 390 29.2.3 SEM MODEL INPUT PARAMETER VARIATIONS 390 29.2.4 EXPERIMENTAL PARAMETER VARIATIONS 392 29.2.5 MEASUREMENT RESULTS 393 29.3 MODIFIED EXPONENTIAL FIT OPERATOR FOR HIGH SIDEWALL ANGLES 394 29.4 GAUSS FIT OPERATOR 396 29.5 SIGNAL DECAY OPERATOR 398 29.6 CONCLUSION 402 REFERENCES 403 30 MEASUREMENT OF HIGH-RESOLUTION INTERFERENTIAL ENCODERS USING THE PTB NANOMETER COMPARATOR 404 J. FLTIGGE, R. KOENING, AND H. BOSSE 30.1 PRINCIPLE 404 30.2 LASER INTERFEROMETER 405 30.3 INCREMENTAL LINEAR ENCODERS 406 30.4 MEASUREMENT RESULTS 408 REFERENCES 409 / PART IX APPLICATION - SURFACE 31 EXPERIMENTAL CHARACTERIZATION OF MICROMILLED SURFACES BY LARGE-RANGE AFM 413 P. BARIANI, G. BISSACCO, H. N. HANSEN, AND L. DE CHIFFRE 31.1 INTRODUCTION 423 31.2 MICROMILLING OF HARDENED TOOL STEEL 424 31.3 SURFACE TOPOGRAPHY MEASUREMENT 425 31.4 LARGE-RANGE ATOMIC FORCE MICROSCOPY 426 31.5 TECHNIQUES USED FOR COMPARISON 426 31.6 EVALUATION OF SAMPLING CONDITIONS FOR THE DIFFERENT TECHNIQUES 417 31.7 RESULTS 418 31.8 DISCUSSION AND CONCLUSIONS 422 I! XVI CONTENTS REFERENCES 423 32 INVESTIGATION OF THE SURFACE ROUGHNESS MEASUREMENT OF MASS STANDARDS 424 C. ZERROUKI, L.R PENDRILLJ. M. BENNETT, Y. HAIDAR, F. DE FORNEL, AND P. PINOT 32.1 INTRODUCTION 424 32.2 REQUIREMENTS FOR SURFACE ROUGHNESS OF MASS STANDARDS 425 32.3 SURFACE ROUGHNESS MEASUREMENT METHODS APPLIED TO MASS STAN- DARDS 426 32.3.1 MECHANICAL PROFILER (NAWC-US) 427 32.3.2 NEAR FIELD MICROSCOPE (LPUB, FR) 427 32.3.3 ANGLE-RESOLVED LIGHT SCATTERING (BNM-INM, FR) 428 32.3.4 ANGLE-RESOLVED LIGHT SCATTERING (LASERCHECK, US) 428 32.3.5 TOTAL INTEGRATED LIGHT SCATTERING (SP, SE) 429 32.4 RESULTS AND INSTRUMENTS COMPARISON 429 32.5 CONCLUSION 432 REFERENCES 433 33 SURFACE ANALYSIS OF PRECISION WEIGHTS FOR THE STUDY OF COMMONLY OCCURRING CONTAMINANTS 434 ULF JACOBSSON AND PETER SJOVALL 33.1 INTRODUCTION 434 33.2 EXPERIMENTAL 435 33.3 RESULTS 438 33.4 DISCUSSION AND CONCLUSIONS 442 REFERENCES 442 34 TIP-SHAPE EFFECT ON THE ACCURACY OF CAPACITANCE DETERMINATION BY SCANNING CAPACITANCE MICROSCOPES 443 STEFAN LDNYI 34.1 INTRODUCTION 443 34.2 PROBE GEOMETRY 445 34.3 SIMULATED TOPOGRAPHIC ARTIFACTS 446 34.4 RESULTS 447 34.5 DISCUSSION 450 REFERENCES 451 35 ATOMIC FORCE MICROSCOPE TIP INFLUENCE ON THE FRACTAL AND MULTI-FRACTAL ANALYSES OF THE PROPERTIES OF RANDOMLY ROUGH SURFACES 452 P. KLAPETEK, I. OHLIDAL, AND J. BILEK 35.1 INTRODUCTION 452 35.2 DATA SIMULATION AND PROCESSING 453 35.3 FRACTAL PROPERTIES ANALYSIS 454 35.4 MULTI-FRACTAL PROPERTIES ANALYSIS 457 35.5 RESULTS AND DISCUSSION 460 CONTENTS XVII 35.6 CONCLUSION REFERENCES 461 462 PART X APPLICATION - MATERIAL PROPERTIES 36 ATOMIC FORCE MICROSCOPE INDENTATION MEASUREMENT SOFTWARE 465 DAVID SHUMAN 36.1 INTRODUCTION 465 36.2 EXPERIMENTAL DETAILS 468 36.2.1 SAMPLE PREPARATION 469 36.2.2 INDENTATION PROCEDURE 469 36.2.3 AFM CALIBRATION 469 36.2.4 SURFACE HEIGHT AND ROUGHNESS 470 36.2.5 PROJECTED AREA 470 36.2.6 PROJECTED AREA 473 36.2.7 SURFACE AREA 473 36.2.8 ELASTIC RECONSTRUCTION 474 36.2.9 BUILDING THE AREA FUNCTIONS 475 36.2.10 INDENTER ANGLE AND RADIUS 476 36.2.11 NANOMC HARDNESS 477 36.3 CONCLUSION 479 ACKNOWLEDGMENTS 479 REFERENCES 480 37 NANODEFORMATION ANALYSIS NEAR SMALL CRACKS BY MEANS OF NANODAC TECHNIQUE 481 JURGEN KELLER, DIETMAR VOGEL, AND BERND MICHEL 37.1 INTRODUCTION 481 37.2 DIGITAL IMAGE CORRELATION ON SPM IMAGES 482 37.2.1 PRINCIPLE OF NANODAC 482 37.2.2 STABILITY ASPECTS OF SPM MEASUREMENTS 484 37.3 CRACK EVALUATION 488 37.3.1 EXPERIMENTAL SETUP 488 37.3.2 CRACK OPENING DISPLACEMENT ANALYSIS 489 37.4 ADAPTATION TO FINITE ELEMENT ANALYSIS 491 37 .4.1 ADAPTATION CONCEPT 492 37.4.2 MESH TRANSFER FROM FEA TO EXPERIMENT 493 37.4.3 VERIFICATION PLATFORM 494 DEROTATION AND DISPLACEMENT MATCHING 494 DETERMINATION OF MATERIAL PROPERTIES 495 37.5 APPLICATION OF DIC TO MICROMACHINED GAS SENSOR 496 37.6 CONCLUSIONS 498 ACKNOWLEDGMENTS 498 REFERENCES 498 ] I XVIII I CONTENTS 38 PTB S PRECISION INTERFEROMETERFBR HIGH ACCURACY CHARACTERIZATION OF THERMAL EXPANSION PROPERTIES OF LOW EXPANSION MATERIALS 500 R. SCHODEL AND A. ABOU-ZEID 38.1 INTRODUCTION 500 38.2 EXPERIMENTAL SETUP 503 38.2.1 DESCRIPTION OF THE INTERFEROMETER 503 38.2.2 SAMPLE DESIGN 504 13.2.3 AUTOCOLLIMATION ADJUSTMENT 506 13.3 CHECK MEASUREMENTS 507 38.4 MEASUREMENT EXAMPLES 508 38.4.1 THERMAL EXPANSION AND UNCERTAINTY 509 38.4.2 CTE HOMOGENEITY 511 38.4.3 TEMPORAL LENGTH CHANGES 512 38.5 CONCLUDING REMARK 514 REFERENCES 514 INDEX 515
adam_txt NANOSCALE CALIBRATION STANDARDS AND METHODS DIMENSIONAL AND RELATED MEASUREMENTS IN THE MICRO- AND NANOMETER RANGE EDITED BY CUNTER WILKENING, LUDGER KOENDERS TECHNISCHE } INFORMATIONSBIBLIOTHEK UNIVERSITATSBIBLIOTHEK HANNOVER WILEY- VCH WILEY-VCH VERLAG GMBH & CO. KGAA CONTENTS PART I INSTRUMENTATION - OVERVIEW 1 METROLOGICAL SCANNING PROBE MICROSCOPES - INSTRUMENTS FOR DIMENSIONAL NANOMETROLOGY 3 HANS-ULRICH DANZEBRINK, FRANK POHLENZ, GAOLIANG DAI, AND CLAUDIO DAL SAVIO 1.1 INTRODUCTION 3 1.2 HIGH-RESOLUTION PROBING SYSTEMS 4 1.2.1 SENSOR OBJECTIVE WITH BEAM DEFLECTION DETECTION 5 1.2.2 SENSOR OBJECTIVE WITH PIEZOLEVER MODULE 7 1.2.3 SENSOR OBJECTIVE WITH TUNING FORK MODULE 8 1.2.4 SENSOR HEAD FOR COMBINED SCANNING PROBE AND INTERFERENCE MICROSCOPY 9 1.3 METROLOGY SYSTEMS BASED ON SCANNING PROBE MICROSCOPES 12 1.3.1 SCANNING FORCE MICROSCOPES OF TYPE VERITEKT 13 1.3.2 METROLOGICAL LARGE RANGE SCANNING FORCE MICROSCOPE 15 1.4 SUMMARY 18 ACKNOWLEDGMENTS 19 REFERENCES 19 / 2 NANOMETROLOGY AT THE IMCC 22 M. BISI, E. MASSA, A. PASQUINI, G. B. PICOTTO, AND M. PISANI 2.1 INTRODUCTION 22 2.2 SURFACE METROLOGY 23 2.2.1 SCANNING PROBE MICROSCOPY 23 2.2.2 OPTICAL DIFFRACTOMETRY 25 2.2.3 STYLUS PROFILOMETRY 27 2.3 ATOMIC SCALE METROLOGY 28 2.3.1 LATTICE PARAMETER OF SILICON 29 2.3.2 COMBINED OPTICAL AND X-RAY INTERFEROMETRY (COXI) 30 2.4 PHASE-CONTRAST TOPOGRAPY 31 2A.I DETECTION OF SMALL LATTICE STRAIN 31 2.4.2 PHASE-CONTRAST IMAGING 32 NANOSCALE CALIBRATION STANDARDS AND METHODS: DIMENSIONAL AND RELATED MEASUREMENTS IN THE MICRO- AND NANOMETER RANGE. EDITED BY G. WILKENING AND L. KOENDERS COPYRIGHT 2005 WILEY-VCH VERLAG GMBH & CO. KGAA, WEINHEIM ISBN 3-527-40502-X VI CONTENTS 2.5 2.6 NANOBALANCE CONCLUSIONS REFERENCES 34 35 36 3 METROLOGICAL APPLICATIONS OF X-RAY INTERFEROMETRY 38 ANDREW YACOOT 3.1 INTRODUCTION 38 3.2 MEASUREMENT OF NON-LINEARITY IN OPTICAL INTERFEROMETERS 40 3.3 COMBINED OPTICAL AND X-RAY INTERFEROMETRY 41 3.4 MEASUREMENT OF SMALL ANGLES 42 3.5 X-RAY INTERFEROMETRY AND SCANNING PROBE MICROSCOPY 43 3.6 CONCLUSIONS 43 REFERENCES 44 PART II INSTRUMENTATION - LONG-RANGE SCANNING PROBE MICROSCOPE 4 ADVANCES IN TRACEABLE NANOMETROLOGY WITH THE NANOPOSITIONING AND NANOMEASURING MACHINE 47 EBERHARD MANSKE, ROSTISLAV MASTYLO, TINO HAUSOTTE, NORBERT HQFINANN, AND GERD JAGER 4.1 INTRODUCTION 47 4.2 DESIGN AND OPERATION 48 4.3 UNCERTAINTY BUDGET 52 4.4 FOCUS SENSOR 53 4.5 MEASURING OPPORTUNITIES AND PERFORMANCE WITH FOCUS SENSOR 55 4.6 FOCUS PROBE WITH SFM CANTILEVER 58 4.7 CONCLUSION 58 ACKNOWLEDGEMENTS 59 REFERENCES 59 5 COORDINATE MEASUREMENTS IN MICROSYSTEMS BY USING AFM-PROBING: PROBLEMS AND SOLUTIONS 60 DOROTHEE HILSER, RALPH PETERSEN, AND HENDRIK ROTHE 5.1 INTRODUCTION 60 5.2 REALIZING CMMS FOR MICROSYSTEMS 61 5.3 PROBLEMS AND SOLUTIONS 64 5.3.1 DYNAMICS OF POSITIONING SYSTEM 64 5.3.2 CMM: ONE-MILLIMETER SCAN 67 5.3.3 MEASURING STRATEGIES 68 5.4 CONCLUSION AND OUTLOOK 71 REFERENCES 72 CONTENTS VII 6 METROLOGICAL LARGE RANGE SCANNING FORCE MICROSCOPE APPLICABLE FOR TRACEABLE CALIBRATION OF SURFACE TEXTURES 73 GAOLIANG DAI, FRANK POHLENZ, HANS-ULRICH DANZEBRINK, MIN XU, KLAUS HASCHE, GTINTER WILKENING 6.1 INTRODUCTION 74 6.2 INSTRUMENTATION 75 6.2.1 PRINCIPLE 75 6.2.2 METROLOGICAL PROPERTIES 76 6.2.3 TRACEABILITY 78 6.2.4 SPECIALLY DESIGNED FEATURES 79 6.3 MEASUREMENT RESULT OF A 2D-GRATING STANDARD 80 6.3.1 MEASUREMENT STRATEGY 80 6.3.2 DATA EVALUATION 82 6.3.3 MEASUREMENT RESULT OF THE MEAN PITCH VALUE 83 6.3.4 MEASUREMENT OF THE LOCAL PITCH VARIATION 83 6.4 A SELECTED MEASUREMENT RESULT OF A MICROROUGHNESS STANDARD 85 6.4.1 MEASUREMENT RESULT OF A GLASS FLATNESS STANDARD 86 6.4.2 MEASUREMENT OF A PTB MICROROUGHNESS STANDARD 87 6.4.3 COMPARISON OF THE ROUGHNESS MEASUREMENT RESULTS DERIVED FROM SFM AND STYLUS INSTRUMENTS USING GAUSSIAN FILTER 88 6.4.4 COMPARISON USING MORPHOLOGICAL FILTERS 89 6.4.5 EVALUATION RESULTS USING PTB REFERENCE SOFTWARE 90 6.5 OUTLOOK AND CONCLUSION 91 REFERENCES 92 PART III INSTRUMENTATION - DEVELOPMENT OF SPM AND SENSORS 7 TRACEABLE PROBING WITH AN AFM 95 K. DIRSCHERL AND K. R. KOOPS 7.1 INTRODUCTION 95 7.2 SETUP 96 7.3 CORRECTION FOR PIEZO NONLINEARITIES 10U 7.3.1 HYSTERESIS 200 7.3.2 DRIFT 102 7.4 REAL-TIME CONTROL THROUGH SSE2 ASSEMBLY 103 7.4 IMPLEMENTATION OF THE MEASUREMENT CONTROLLER 104 7.6 IMAGE ANALYSIS 105 7.7 CONCLUSIONS 207 ACKNOWLEDGMENTS 208 REFERENCES 208 8 SCANNING PROBE MICROSCOPE SETUP WITH INTERFEROMETRIC DRIFT COMPENSATION 209 ANDRZEJ SIKORA, DMITRI V. SOKOLOV, AND HANS U. DANZEBRINK 8.1 MOTIVATION 209 VIII CONTENTS 8.2 EXISTING SETUP - WITHOUT DRIFT COMPENSATION 2 22 8.3 MEASUREMENT METHOD AND SETUP FOR DRIFT COMPENSATION 212 8.4 EXPERIMENT AND RESULTS 225 8.5 SUMMARY 228 REFERENCES 228 9 DSP-BASED METROLOGICAL SCANNING FORCE MICROSCOPE WITH DIRECT INTERFEROMETRIC POSITION MEASUREMENT AND IMPROVED MEASUREMENT SPEED 229 GAOLIANG DAI, FRANK POHLENZ, HANS-TJLRICH DANZEBRINK, KLAUS HASCHE, AND GIINTER WILKENING 9.1 INTRODUCTION 229 9.2 INSTRUMENT 120 9.2.1 PRINCIPLE 120 9.2.2 DSP-BASED SIGNAL PROCESSING SYSTEM 122 9.2.3 CALIBRATION OF THE TIP SIGNAL FOR TRACEABLY MEASURING THE BENDING OF THE CANTILEVER 223 9.3 CORRECTION OF NONLINEARITY OF THE OPTICAL INTERFEROMETERS IN THE M-SFM 124 9.3.1 REVIEW OF NONLINEARITY CORRECTION METHODS 124 9.3.2 ADAPTED HEYDEMANN CORRECTION IN A FAST SERVO CONTROL LOOP 225 9.3.3 PERFORMANCE OF THE INTERFEROMETERS IN THE M-SFM VERITEKT C 226 9.4 IMPROVING THE MEASUREMENT SPEED 228 9.5 A MEASUREMENT EXAMPLE OF STEP-HEIGHT STANDARD 129 REFERENCES 130 10 COMBINED CONFOCAL AND SCANNING PROBE SENSOR FOR NANO-COORDINATE METROLOGY 131 DMITRI V. SOKOLOV, DMITRI V. KAZANTSEV, JAMES W. G. TYRRELL, TOMASZ HASEK, AND HANS U. DANZEBRINK 10.1 INTRODUCTION 132 10.2 INSTRUMENTATION AND EXPERIMENTAL DETAILS 133 10.3 RESULTS AND DISCUSSION 136 10.3.1 IMAGING IN THE CONFOCAL AND SPM MODE 136 10.3.2 ONE-DIMENSIONAL OPTICAL AND SPM MEASUREMENTS 138 10.4 SUMMARY AND CONCLUSIONS 141 ACKNOWLEDGMENTS 142 REFERENCES 142 11 COMBINED SHEAR FORCE-TUNNELING MICROSCOPE WITH INTERFEROMETRIC TIP OSCILLATION DETECTION FOR LOCAL SURFACE INVESTIGATION AND OXIDATION 244 ANDRZEJ SIKORA, TEODOR GOTSZALK, AND ROMAN SZELOCH 11.1 INTRODUCTION 144 11.2 INSTRUMENTATION 145 11.3 LOCAL SURFACE ELECTRICAL PROPERTIES INVESTIGATION 152 CONTENTS IX 11.4 LOCAL SURFACE OXIDATION 152 11.5 SUMMARY 154 ACKNOWLEDGEMENTS 155 REFERENCES 155 12 LOW NOISE PIEZORESISTIVE MICRO FORCE SENSOR 157 L. DOERING, E. PEINER, V. NESTEROV, AND U. BRAND 12.1 INTRODUCTION 157 12.2 MANUFACTURING OF THE SENSOR 158 12.2.1 COMPUTER AIDED DESIGN 158 12.2.2 MANUFACTURING OF THE SENSOR 158 12.3 SENSOR PROPERTIES 160 12.3.1 DOPING PROFILE 160 12.3.2 SPECTROSCOPIC NOISE ANALYSIS AND DETERMINATION OF THE HOOGE CONSTANT 163 12.3.3 FORCE CALIBRATION AND ELECTRICAL CALIBRATION 165 12.4 APPLICATION: FORCE CALIBRATION OF A STYLUS INSTRUMENT 167 12.5 CONCLUSIONS 169 REFERENCES 170 PART IV CALIBRATION - OVERVIEW 13 TOWARDS A GUIDELINE FOR SPM CALIBRATION 173 T. DZIOMBA, L. KOENDERS, AND G. WILKENING 13.1 INTRODUCTION 173 13.2 GENERAL 176 13.2.1 SCHEMATIC DESCRIPTION OF SPMS 176 13.2.2 METROLOGICAL CLASSIFICATION OF SPMS 177 13.2.3 CALIBRATION INTERVALS 178 13.3 VERIFICATION OF PROPERTIES OF INSTRUMENT, TIP AND ENVIRONMENT 178 13.3.1 AMBIENT CONDITIONS 179 13.3.2 FLATNESS MEASUREMENTS AND SIGNAL NOISE 179 13.3.3 REPEATABILITY AND NOISE 181 13.3.4 TIP SHAPE 182 13.4 CALIBRATION OF THE SCANNER AXES 183 13.4.1 LATERAL CALIBRATION 183 13.4.2 CALIBRATION OF THE VERTICAL AXIS 186 USING LASER INTERFEROMETERS 187 USING TRANSFER STANDARDS 188 EVALUATION OF STEP HEIGHT 188 13.5 UNCERTAINTY OF MEASUREMENTS 290 ACKNOWLEDGMENTS 291 REFERENCES 292 CONTENTS 14 TRUE THREE-DIMENSIONAL CALIBRATION OF CLOSED LOOP SCANNING PROBE MICROSCOPES 193 J. GARNAES, A. KUHLE, L. NIELSEN, AND F. BORSETTO 14.1 INTRODUCTION 193 14.2 MODEL OF THE MEASUREMENT SYSTEM 194 14.3 THE CORRECTION MATRIX 195 14.4 THEORY FOR ESTIMATING THE VERTICAL SKEW 196 14.5 EXPERIMENTAL RESULTS AND DISCUSSION 200 14.6 CONCLUSION 202 ACKNOWLEDGEMENTS 202 APPENDIX 203 REFERENCES 204 15 HEIGHT AND PITCH AT NANOSCALE - HOW TRACEABLE IS NANOMETROLOGY? 205 L. KOENDERS AND F. MELI 15.1 INTRODUCTION 205 15.2 COMPARISON ON ONE-DIMENSIONAL PITCH STANDARDS (NANO 4) 206 15.2.1 STANDARDS AND MEASURAND 206 15.2.2 PARTICIPANTS AND MEASUREMENT METHODS 207 15.2.3 RESULTS 208 15.2.4 UNCERTAINTY 210 15.2.5 DISCUSSION 211 15.3 COMPARISON ON STEP HEIGHT (NANO4) 212 15.3.1 STANDARDS 212 15.3.2 MEASUREMENT METHODS 213 15.3.3 RESULTS 214 15.3.4 UNCERTAINTIES 216 15.3.5 DISCUSSION 217 15.4 CONCLUSIONS 218 ACKNOWLEDGMENT 228 REFERENCES 219 16 THE BEHAVIOR OF PIEZOELECTRIC ACTUATORS AND THE EFFECT ON STEP-HEIGHT MEASUREMENT WITH SCANNING FORCE MICROSCOPES 220 A. GRANT, L. MCDONNELL, AND E. M. GIL ROMERO 16.1 INTRODUCTION 220 16.2 EXPERIMENTAL 222 16.2.1 SCANNING FORCE MICROSCOPES 222 16.2.2 Z CALIBRATION WITH STEP-HEIGHT STANDARDS 223 16.2.3 Z CALIBRATION WITH FIBER-OPTIC DISPLACEMENT SENSOR 223 16.3 RESULTS 224 16.3.1 EFFECT OF VOLTAGE SWEEP 224 16.3.2 EFFECT OF Z ACTUATOR OFFSET 225 16.3.3 IMPLICATIONS OF ACTUATOR OFFSET FOR SAMPLE TILT 227 16.3.4 IMPLICATIONS OF ACTUATOR OFFSET FOR SCANNER CURVATURE 227 CONTENTS XI 16.4 CONCLUSIONS 228 ACKNOWLEDGMENTS 228 REFERENCES 228 17 AN APPROACH TO THE DEVELOPMENT OF TOLERANCE SYSTEMS FOR MICRO- AND NANOTECHNOLOGY 230 J. SCHOBEL AND E. WESTKAMPER 17.1 INTRODUCTION 230 17.2 TOLERANCING AND STANDARDS 231 17.2.1 MEASUREMENT SYSTEMS ANALYSIS 232 " 17.2.2 STEP-HEIGHT MEASUREMENTS 232 17.2.3 MICROROUGHNESS 234 17.3 MACHINING EXPERIMENTS 235 17.3.1 MICROMILLING 235 17.3.2 SPUTTERING 237 17.4 CONCLUSIONS 240 REFERENCES 241 PART V CALIBRATION - STANDARDS FOR NANOMETROLOGY 18 STANDARDS FOR THE CALIBRATION OF INSTRUMENTS FOR DIMENSIONAL NANOMETROLOGY 245 L. KOENDERS, T. DZIOMBA, P. THOMSEN-SCHMIDT, AND G. WILKENING 18.1 INTRODUCTION 245 18.2 STANDARDS FOR SCANNING PROBE MICROSCOPY 246 18.2.1 FLATNESS STANDARD 246 18.2.2 TIP CHARACTERIZES 248 18.2.3 LATERAL STANDARDS 250 18.2.4 STEP-HEIGHT STANDARDS 252 18.2.5 NANOROUGHNESS STANDARDS 254 18.3 FILM THICKNESS STANDARDS 254 18.4 OUTLOOK 256 ' ACKNOWLEDGMENTS 256 REFERENCES 257 19 "ATOMIC FLAT" SILICON SURFACE FOR THE CALIBRATION OF STYLUS INSTRUMENTS 259 S. GROGER AND M. DIETZSCH 19.1 CALIBRATION OF STYLUS INSTRUMENTS 259 19.2 "ATOMIC FLAT" SILICON AS CALIBRATION STANDARD 263 19.3 SELECTION OF THE MEASUREMENT INSTRUMENT FOR THE ASSESSMENT OF FLATNESS 264 19.4 CALIBRATION OF THE STYLUS INSTRUMENT ME 10 265 19.5 CHARACTERISTICS OF THE MEASUREMENT INSTRUMENT AFTER MODIFICATION 267 19.6 CONCLUSIONS AND OUTLOOK 268 REFERENCES 268 XII CONTENTS 20 INVESTIGATIONS OF NANOROUGHNESS STANDARDS BY SCANNING FORCE MICROSCOPES AND INTERFERENCE MICROSCOPE 269 R. KRIXGER-SEHM, T. DZIOMBA, AND G. DAI 20.1 INTRODUCTION 269 20.2 STANDARDIZATION ASPECTS 270 20.3 MANUFACTURING OF CALIBRATION SPECIMENS 271 20.3.1 CONDITIONS FOR SMALLER ROUGHNESS 271 20.3.2 MANUFACTURING PROCESS 272 20.3.3 PROFILE REPETITION 273 20.4 MEASUREMENTS 274 20.4.1 IDENTIFICATION OF THE FIELDS OF INTEREST 274 20.4.2 CORRELATION OF FIELDS 274 20.4.3 MEASUREMENTS WITH INTERFERENCE MICROSCOPE 275 20.4.4 SCANNING FORCE MICROSCOPE MEASUREMENTS 276 20.4.5 LONG RANGE SFM MEASUREMENTS 278 20.4.6 RELATION TO PROVEN ROUGHNESS STANDARDS 279 20.5 CONCLUSIONS AND OUTLOOK 279 ACKNOWLEDGMENTS 281 REFERENCES 282 21 TESTING THE LATERAL RESOLUTION IN THE NANOMETRE RANGE WITH A NEW TYPE OF CERTIFIED REFERENCE MATERIAL 282 M. SENONER, TH. WIRTH, W. UNGER, W. OSTERLE, I. KAIANDER, R.I. SELLIN, AND D. BIMBERG 21.1 INTRODUCTION 282 21.2 DESCRIPTION OF THE REFERENCE MATERIAL 283 21.3 MODELING OF LATERAL RESOLUTION 284 21.3.1 ANALYSIS OF A NARROW STRIP 288 21.3.2 ANALYSIS OF A STRAIGHT EDGE 289 21.3.3 ANALYSIS OF GRATINGS 292 21.4 CONCLUSIONS 294 / ACKNOWLEDGMENTS 294 REFERENCES 294 PART VI CALIBRATION - TIP SHAPE 22 RECONSTRUCTION AND GEOMETRIC ASSESSMENT OF AFM TIPS 297 TORSTEN MACHLEIDT, RALF KASTNER, AND KARL-HEINZ FRANKE 22.1 INTRODUCTION 298 22.2 RECONSTRUCTION OF THE TACTILE TIP 299 22.2.1 IMAGING THE TIP USING SCANNING ELECTRON MICROSCOPY 299 22.2.2 RECONSTRUCTION BY KNOWN SAMPLE STRUCTURE 300 22.2.3 BLIND TIP ESTIMATION 302 22.2.4 MOTIVATION 302 22.2.5 TIP ASSESSMENT 302 CONTENTS XIII 22.2.5.1 TWO-DIMENSIONAL CHARACTERIZATION '302 22.2.5.2 GEOMETRICAL INTERPRETATION 303 22.2.5.3 TIP ANGLE 304 22.2.5.4 TIP RADIUS 305 22.2.5.5 TIP CURVATION 305 22.2.5.6 REVIEW 306 22.2.6 THREE-DIMENSIONAL CHARACTERIZATION 306 22.2.6.1 GEOMETRICAL INTERPRETATION 306 22.2.6.2 SIMULATED ANNEALING ALGORITHM 307 22.2.6.3 CONVERGENCE 308 22.2.7 EXPERIMENTAL RESULTS 309 22.3 SUMMARY AND OUTLOOK 309 REFERENCES 320 23 COMPARISON OF DIFFERENT METHODS OF SFM TIP SHAPE DETERMINATION FOR VARIOUS CHARACTERISATION STRUCTURES AND TYPES OF TIP 322 S. CZERKAS, T. DZIOMBA, AND H. BOSSE 23.1 INTRODUCTION 32 2 23.2 INSTRUMENTATION 322 23.3 RESULTS AND DISCUSSION 323 23.3.1 NEEDS OF CD METROLOGY 313 23.3.2 TIP SHAPE DETERMINATION 324 23.3.3 CONCLUSIONS 328 23.4 SUMMARY 320 REFERENCES 320 PART VII CALIBRATION - OPTICAL METHODS 24 DOUBLE TILT IMAGING METHOD FOR MEASURING APERTURE CORRECTION FACTOR 323 YEN-LIANG CHEN, CHAO-JUNG CHEN, AND GWO-SHENG PENG 24.1 INTRODUCTION 323 24.2 TRACEABILITY OF STEP HEIGHT 324 ' 24.3 WORKING PRINCIPLE OF DIT METHOD 325 24.4 EXPERIMENTAL SETUP 326 24.5 RELATIVE STANDARD UNCERTAINTY OF NUMERICAL APERTURE CORRECTION FACTOR 328 24.6 UNCERTAINTY ANALYSIS OF THE NUMERICAL APERTURE CORRECTION FACTOR 329 24.7 CONCLUSION 329 REFERENCES 330 25 HOW STATISTICAL NOISE LIMITS THE ACCURACY OF OPTICAL INTERFEROMETRY FOR NANOMETROLOGY 331 VICTOR NASCOV 25.1 INTRODUCTION 331 25.2 OPTICAL INTERFEROMETRY OVERVIEW 332 XIV CONTENTS 25.2.1 TWO WAVES INTERFEROMETRY 332 25.2.2 MULTIPLE WAVES INTERFEROMETRY 337 25.3 STATISTICAL ERRORS ON PROCESSING ELEMENTARY FRINGE PATTERNS 337 25.4 WAVELENGTHS AND DISPLACEMENTS MEASUREMENT 340 25.5 ABSOLUTE DISTANCE MEASUREMENT 341 25.6 CONCLUSIONS 343 REFERENCES 344 26 UNCERTAINTY ANALYSIS OF THE PTB MEASURING EQUIPMENT FOR THE INVESTIGATION OF LASER INTERFEROMETERS 345 G. SPARRER AND A. ABOU-ZEID 26.1 INTRODUCTION 345 26.2 THE CALIBRATION FACILITY 346 26.3 MEASUREMENT PROCEDURE 348 26.4 THE UNCERTAINTY OF THE COMPLETE CALIBRATION FACILITY 349 26.4.1 THE MEASUREMENT UNCERTAINTY OF THE COMPARATOR 349 26.4.2 THE MEASUREMENT UNCERTAINTY OF THE STANDARD LASER INTERFEROMETER TAKING INTO ACCOUNT THE REFRACTIVE INDEX OF AIR AND THE THERMAL EXPANSION 352 26.4.3 THE EXPANDED MEASUREMENT UNCERTAINTY OF THE ENTIRE CALIBRATION FACILITY 355 SIGNS AND SYMBOLS OF THE MODEL EQUATIONS AND THE UNCERTAINTY BUDGETS: 356 REFERENCES 357 PART VIII APPLICATION - LATERAL STRUCTURES 27 LATERAL AND VERTICAL DIAMETER MEASUREMENTS ON POLYMER PARTICLES WITH A METROLOGY AFM 361 F. MELI 27.1 INTRODUCTION 361 27.2 EXPERIMENTAL SETUP 363 27.3 MEASUREMENT RESULTS AND DISCUSSION 365 27.3.1 HEIGHT MEASUREMENTS ON GOLD COLLOIDS 365 27.3.2 POSSIBLE SYSTEMATIC DEVIATIONS WITH HEIGHT MEASUREMENTS ON GOLD COLLOIDS 368 27.3.3 LATERAL MEASUREMENTS ON POLYMER SPHERES 370 27 A CONCLUSION 374 REFERENCES 374 28 PITCH AND CD MEASUREMENTS AT ANISOTROPICALLY ETCHED SI STRUCTURES IN AN SEM 375 C. G. FRASE, S. CZERKAS, H. BOSSE, YU. A. NOVIKOV, AND A. V. RAKOV 28.1 INTRODUCTION 376 28.2 GWPS SPECIMEN 376 CONTENTS XV 28.3 SEM INSTRUMENTATION 377 28.4 SEM IMAGE FORMATION AND MODELING 377 28.5 SEM MEASUREMENT METHOD 381 28.6 MEASUREMENT RESULTS 382 28.7 CONCLUSION 384 REFERENCES 384 29 ANALYSIS AND COMPARISON OF CD-SEM EDGE OPERATORS: A CONTRIBUTION TO FEATURE WIDTH METROLOGY 385 C.G. FRASE, W. HAJLLER-GROHNE, E. BUHR, K.-HAHM, AND H. BOSSE 29.1 INTRODUCTION 385 29.2 EXPONENTIAL FIT OPERATOR 387 29.2.1 SECONDARY ELECTRON IMAGE FORMATION AT STRUCTURAL EDGES 387 29.2.2 DEFINITION OF TOP CD OPERATOR 390 29.2.3 SEM MODEL INPUT PARAMETER VARIATIONS 390 29.2.4 EXPERIMENTAL PARAMETER VARIATIONS 392 29.2.5 MEASUREMENT RESULTS 393 29.3 MODIFIED EXPONENTIAL FIT OPERATOR FOR HIGH SIDEWALL ANGLES 394 29.4 GAUSS FIT OPERATOR 396 29.5 SIGNAL DECAY OPERATOR 398 29.6 CONCLUSION 402 REFERENCES 403 30 MEASUREMENT OF HIGH-RESOLUTION INTERFERENTIAL ENCODERS USING THE PTB NANOMETER COMPARATOR 404 J. FLTIGGE, R. KOENING, AND H. BOSSE 30.1 PRINCIPLE 404 30.2 LASER INTERFEROMETER 405 30.3 INCREMENTAL LINEAR ENCODERS 406 30.4 MEASUREMENT RESULTS 408 REFERENCES 409 / PART IX APPLICATION - SURFACE 31 EXPERIMENTAL CHARACTERIZATION OF MICROMILLED SURFACES BY LARGE-RANGE AFM 413 P. BARIANI, G. BISSACCO, H. N. HANSEN, AND L. DE CHIFFRE 31.1 INTRODUCTION 423 31.2 MICROMILLING OF HARDENED TOOL STEEL 424 31.3 SURFACE TOPOGRAPHY MEASUREMENT 425 31.4 LARGE-RANGE ATOMIC FORCE MICROSCOPY 426 31.5 TECHNIQUES USED FOR COMPARISON 426 31.6 EVALUATION OF SAMPLING CONDITIONS FOR THE DIFFERENT TECHNIQUES 417 31.7 RESULTS 418 31.8 DISCUSSION AND CONCLUSIONS 422 I! XVI CONTENTS REFERENCES 423 32 INVESTIGATION OF THE SURFACE ROUGHNESS MEASUREMENT OF MASS STANDARDS 424 C. ZERROUKI, L.R PENDRILLJ. M. BENNETT, Y. HAIDAR, F. DE FORNEL, AND P. PINOT 32.1 INTRODUCTION 424 32.2 REQUIREMENTS FOR SURFACE ROUGHNESS OF MASS STANDARDS 425 32.3 SURFACE ROUGHNESS MEASUREMENT METHODS APPLIED TO MASS STAN- DARDS 426 32.3.1 MECHANICAL PROFILER (NAWC-US) 427 32.3.2 NEAR FIELD MICROSCOPE (LPUB, FR) 427 32.3.3 ANGLE-RESOLVED LIGHT SCATTERING (BNM-INM, FR) 428 32.3.4 ANGLE-RESOLVED LIGHT SCATTERING (LASERCHECK, US) 428 32.3.5 TOTAL INTEGRATED LIGHT SCATTERING (SP, SE) 429 32.4 RESULTS AND INSTRUMENTS COMPARISON 429 32.5 CONCLUSION 432 REFERENCES 433 33 SURFACE ANALYSIS OF PRECISION WEIGHTS FOR THE STUDY OF COMMONLY OCCURRING CONTAMINANTS 434 ULF JACOBSSON AND PETER SJOVALL 33.1 INTRODUCTION 434 33.2 EXPERIMENTAL 435 33.3 RESULTS 438 33.4 DISCUSSION AND CONCLUSIONS 442 REFERENCES 442 34 TIP-SHAPE EFFECT ON THE ACCURACY OF CAPACITANCE DETERMINATION BY SCANNING CAPACITANCE MICROSCOPES 443 STEFAN LDNYI 34.1 INTRODUCTION 443 34.2 PROBE GEOMETRY 445 34.3 SIMULATED TOPOGRAPHIC ARTIFACTS 446 34.4 RESULTS 447 34.5 DISCUSSION 450 REFERENCES 451 35 ATOMIC FORCE MICROSCOPE TIP INFLUENCE ON THE FRACTAL AND MULTI-FRACTAL ANALYSES OF THE PROPERTIES OF RANDOMLY ROUGH SURFACES 452 P. KLAPETEK, I. OHLIDAL, AND J. BILEK 35.1 INTRODUCTION 452 35.2 DATA SIMULATION AND PROCESSING 453 35.3 FRACTAL PROPERTIES ANALYSIS 454 35.4 MULTI-FRACTAL PROPERTIES ANALYSIS 457 35.5 RESULTS AND DISCUSSION 460 CONTENTS XVII 35.6 CONCLUSION REFERENCES 461 462 PART X APPLICATION - MATERIAL PROPERTIES 36 ATOMIC FORCE MICROSCOPE INDENTATION MEASUREMENT SOFTWARE 465 DAVID SHUMAN 36.1 INTRODUCTION 465 36.2 EXPERIMENTAL DETAILS 468 36.2.1 SAMPLE PREPARATION 469 36.2.2 INDENTATION PROCEDURE 469 36.2.3 AFM CALIBRATION 469 36.2.4 SURFACE HEIGHT AND ROUGHNESS 470 36.2.5 PROJECTED AREA 470 36.2.6 PROJECTED AREA 473 36.2.7 SURFACE AREA 473 36.2.8 ELASTIC RECONSTRUCTION 474 36.2.9 BUILDING THE AREA FUNCTIONS 475 36.2.10 INDENTER ANGLE AND RADIUS 476 36.2.11 NANOMC HARDNESS 477 36.3 CONCLUSION 479 ACKNOWLEDGMENTS 479 REFERENCES 480 37 NANODEFORMATION ANALYSIS NEAR SMALL CRACKS BY MEANS OF NANODAC TECHNIQUE 481 JURGEN KELLER, DIETMAR VOGEL, AND BERND MICHEL 37.1 INTRODUCTION 481 37.2 DIGITAL IMAGE CORRELATION ON SPM IMAGES 482 37.2.1 PRINCIPLE OF NANODAC 482 37.2.2 STABILITY ASPECTS OF SPM MEASUREMENTS 484 37.3 CRACK EVALUATION 488 ' 37.3.1 EXPERIMENTAL SETUP 488 37.3.2 CRACK OPENING DISPLACEMENT ANALYSIS 489 37.4 ADAPTATION TO FINITE ELEMENT ANALYSIS 491 37'.4.1 ADAPTATION CONCEPT 492 37.4.2 MESH TRANSFER FROM FEA TO EXPERIMENT 493 37.4.3 VERIFICATION PLATFORM 494 DEROTATION AND DISPLACEMENT MATCHING 494 DETERMINATION OF MATERIAL PROPERTIES 495 37.5 APPLICATION OF DIC TO MICROMACHINED GAS SENSOR 496 37.6 CONCLUSIONS 498 ACKNOWLEDGMENTS 498 REFERENCES 498 ] I XVIII I CONTENTS 38 PTB'S PRECISION INTERFEROMETERFBR HIGH ACCURACY CHARACTERIZATION OF THERMAL EXPANSION PROPERTIES OF LOW EXPANSION MATERIALS 500 R. SCHODEL AND A. ABOU-ZEID 38.1 INTRODUCTION 500 38.2 EXPERIMENTAL SETUP 503 38.2.1 DESCRIPTION OF THE INTERFEROMETER 503 38.2.2 SAMPLE DESIGN 504 13.2.3 AUTOCOLLIMATION ADJUSTMENT 506 13.3 CHECK MEASUREMENTS 507 38.4 MEASUREMENT EXAMPLES 508" 38.4.1 THERMAL EXPANSION AND UNCERTAINTY 509 38.4.2 CTE HOMOGENEITY 511 38.4.3 TEMPORAL LENGTH CHANGES 512 38.5 CONCLUDING REMARK 514 REFERENCES 514 INDEX 515
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spelling Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range ed. by Günter Wilkening ...
1. ed., 1. reprint
Weinheim Wiley-VCH 2005
XXII, 519 S. Ill., graph. Darst.
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Microstructure Measurement Congresses
Nanostructured materials Measurement Congresses
Scientific apparatus and instruments Calibration Congresses
Stereology Congresses
Messtechnik (DE-588)4114575-6 gnd rswk-swf
Nanometerbereich (DE-588)4327473-0 gnd rswk-swf
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Wilkening, Günter Sonstige (DE-588)128827459 oth
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spellingShingle Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range
Microstructure Measurement Congresses
Nanostructured materials Measurement Congresses
Scientific apparatus and instruments Calibration Congresses
Stereology Congresses
Messtechnik (DE-588)4114575-6 gnd
Nanometerbereich (DE-588)4327473-0 gnd
Mikrometerbereich (DE-588)4774350-5 gnd
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(DE-588)4143413-4
(DE-588)1071861417
title Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range
title_auth Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range
title_exact_search Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range
title_exact_search_txtP Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range
title_full Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range ed. by Günter Wilkening ...
title_fullStr Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range ed. by Günter Wilkening ...
title_full_unstemmed Nanoscale calibration standards and methods dimensional and related measurements in the micro- and nanometer range ed. by Günter Wilkening ...
title_short Nanoscale calibration standards and methods
title_sort nanoscale calibration standards and methods dimensional and related measurements in the micro and nanometer range
title_sub dimensional and related measurements in the micro- and nanometer range
topic Microstructure Measurement Congresses
Nanostructured materials Measurement Congresses
Scientific apparatus and instruments Calibration Congresses
Stereology Congresses
Messtechnik (DE-588)4114575-6 gnd
Nanometerbereich (DE-588)4327473-0 gnd
Mikrometerbereich (DE-588)4774350-5 gnd
topic_facet Microstructure Measurement Congresses
Nanostructured materials Measurement Congresses
Scientific apparatus and instruments Calibration Congresses
Stereology Congresses
Messtechnik
Nanometerbereich
Mikrometerbereich
Aufsatzsammlung
Konferenzschrift
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014277296&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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