Verfügbarkeit: Structural biology using electrons and X-rays

Structural biology using electrons and X-rays: an introduction for biologists

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Bibliographische Detailangaben
1. Verfasser:	Moody, Michael F. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Amsterdam [u.a.] Academic Press 2011
Ausgabe:	1. ed.
Schlagworte:	Biomolecules > Structure X-ray spectroscopy Electron optics Electron probe microanalysis Röntgenspektroskopie Strukturaufklärung Biomolekül
Online-Zugang:	Publisher description Inhaltsverzeichnis
Beschreibung:	Includes bibliographical references (p. 417-425) and index
Beschreibung:	xvi, 434 p. Ill., graph. Darst. 24 cm
ISBN:	9780123705815 0123705819

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245	1	0	\|a Structural biology using electrons and X-rays \|b an introduction for biologists \|c Michael F. Moody
250			\|a 1. ed.
264		1	\|a Amsterdam [u.a.] \|b Academic Press \|c 2011
300			\|a xvi, 434 p. \|b Ill., graph. Darst. \|c 24 cm
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500			\|a Includes bibliographical references (p. 417-425) and index
650		4	\|a Biomolecules \|x Structure
650		4	\|a X-ray spectroscopy
650		4	\|a Electron optics
650		4	\|a Electron probe microanalysis
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adam_text	Contents Preface ..............................................................................................................xv Chapter 1: Overview ............................................................................................1 1.1 Role of Structural (Molecular) Biology .................................................................1 1.2 A Short History of Structural (Molecular) Biology ...............................................2 1.2.1 The Nature of the Problem .................................................................................2 1.2.2 Imaging Techniques .........................................................................................4 1.2.3 Nuclear Magnetic Resonance .............................................................................6 1.2.4 Fundamental Limitations to Finding Macromolecule Structures .......................7 PART I: FOURIER TRANSFORMS ......................................................................9 Chapter 2: Correlations and Convolutions ............................................................/ 7 2.1 Introducing Correlations ......................................................................................11 2.1.1 Cross-Correlations ............................................................................................11 2.1.2 Cross-Correlation Functions ............................................................................13 2.1.3 Correlation by Multiplication ...........................................................................16 2Л.4 Convolution and Correlation ............................................................................17 2.2 Function Parity .....................................................................................................18 2.2.1 Even and Odd Functions ..................................................................................18 2.2.2 Some Even Functions and Their Cross-Correlation Functions ........................20 2.3 Auto-Correlation Function ...................................................................................21 2.3.1 Interpretations of the Auto-Correlation Function .............................................21 2.3.2 Locating the Auto-Correlation Function s Central Peak ..................................23 Chapter 3: Fourier Fundamentals ........................................................................25 3.1 Component Functions ..........................................................................................26 3.2 Fourier Analysis of Periodic Even Functions ......................................................28 3.2.1 Fourier Components and Diagrams ..................................................................29 3.2.2 Fourier Analysis of a Comb .............................................................................30 3.3 Sines and Phasors ................................................................................................30 3.3.1 Fourier Series for Odd Functions .....................................................................30 3.3.2 Representation of Sines: Phasors .....................................................................32 3.3.3 Multiplication of Phasors .................................................................................34 3.3.4 Addition of Phasors ..........................................................................................35 vi Contents 3.3.5 Phasor Conjugates ............................................................................................35 3.3.6 Phasor-Waves...................................................................................................36 3.3.7 Fourier Series of General Functions .................................................................38 3.4 Fourier Transforms ..............................................................................................39 3.4.1 Fourier Series and Transforms .........................................................................39 3.4.2 Fourier Transform of a Peak ............................................................................41 3.4.3 Fourier Inversion ..............................................................................................45 3.4.4 Convolution Theorem .......................................................................................47 3.4.5 Lattice Sampling and the Convolution Theorem ..............................................49 3.4.6 Cross-Correlation Functions and the Convolution Theorem ............................50 3.4.7 Translation Rule ...............................................................................................51 3.4.8 Choosing a Fourier Transform s Origin ...........................................................52 3.5 Summary of Rules ...............................................................................................52 3.5.1 The Fourier Transform and its Inversion ..........................................................52 3.5.2 Algebraic Rules ................................................................................................53 3.5.3 Isometric Movement Rules ..............................................................................54 3.5.4 Distortion Rules ...............................................................................................54 Chapter 4: Digital Fourier Transforms .................................................................55 4.1 Data Preparation ..................................................................................................56 4.1.1 Effects of Sampling ..........................................................................................56 4.1.2 Digitizing Equations .........................................................................................57 4.1.3 A Digital Fourier Transform Example .............................................................58 4.1.4 Resolution and Raster Size ...............................................................................59 4.1.5 Sampling Frequency and Aliasing ...................................................................61 4.1.6 Specimen Parameters for Digital Fourier Transforms ......................................62 4.2 Digital Fourier Transform Features .....................................................................63 4.2.1 Amplitude Scaling Rules ..................................................................................63 4.2.2 Sub-Periods ......................................................................................................65 4.3 Digital Fourier Transform Calculations ...............................................................67 4.3.1 Basic Calculation .............................................................................................67 4.3.2 Fast Fourier Transforms: Introduction .............................................................69 4.3.3 Fast Fourier Transforms: Essential Tricks ........................................................70 4.4 Appendix ..............................................................................................................72 4.4.1 Amplitude Scaling Rules ..................................................................................72 Chapter 5: Filters ..............................................................................................75 5.1 Introduction ..........................................................................................................75 5.1.1 Concept of a Filter ............................................................................................75 5.1.2 Operation of Simple Filters ..............................................................................76 5.2 Blurring Filters .....................................................................................................77 5:2.1 The Rectangle Filter .........................................................................................77 5.2.2 Convergence to Equality ..................................................................................78 5.3 Digital-to-Analog Conversion .............................................................................82 5.3.1 Interpolation of Sampled Curves ......................................................................83 5.3.2 Sampling Theorem ...........................................................................................84 Contents vii 5.4 Correcting Blurring Filters..................................................................................86 5.4.1 Contrast Transfer Function Correction: Wiener Filtering ................................87 5.4.2 Blur-Correcting Filters: General Approach ......................................................87 5.4.3 Sharpening Filters ............................................................................................88 5.5 Gradients and Derivatives ....................................................................................89 5.5.1 Introductory ......................................................................................................89 5.5.2 Fourier Transforms of Gradient Function ........................................................90 5.5.3 Fourier Transforms of Impulse Response ........................................................94 Chapter 6: Two-Dimensional FTs .........................................................................95 6.1 Two-Dimensional Fourier Transforms Rules ......................................................95 6.1.1 Transition from One-Dimensional to Two-Dimensional .................................95 6.1.2 Rule Changes in Two-Dimensional Fourier Transforms ..................................96 6.1.3 Rule Changes in Three-Dimensional Fourier Transforms .............................100 6.2 Points and Lines .................................................................................................101 6.2.1 Lines and Lattices ..........................................................................................101 6.2.2 Reciprocal Lattice and Crystal Planes ............................................................105 6.2.3 Unit Cell Contents ..........................................................................................106 6.3 Polygons ............................................................................................................108 6.3.1 Auto-Correlation Functions of Point Polygons ...........................................108 6.3.2 Fourier Transforms of Point Polygons ........................................................109 6.3.3 Uniform Polygons and the Sampling Theorem ..............................................112 6.4 Polar Coordinates ...............................................................................................115 6.4.1 Jinc-Function ..................................................................................................115 6.4.2 Bessel Functions: JQ .......................................................................................116 6.4.3 Bessel Functions: Higher Orders ...................................................................119 PART II: OPTICS ............................................................................................123 Chapter 7: Microscopy with Rays ....................................................................... í 25 7.1 Light Microscopy ...............................................................................................125 7.1.1 Pinhole Camera ..............................................................................................125 7.1.2 Single Lens Microscope .................................................................................126 7.1.3 Compound Microscope ..................................................................................129 7.1.4 Chromatic Aberration and Geometrical Aberrations .....................................131 7.1.5 Rotationally Symmetric Aberrations ..............................................................133 7.1.6 Lack of Rotational Symmetry ........................................................................134 7.2 Electron Microscopy ..........................................................................................136 7.2.1 The Basic Electron Microscope .....................................................................136 7.2.2 Improvements on the Basic Electron Microscope ..........................................138 7.2.3 Electron Microscope Preparation Techniques ................................................140 7.3 Electron Lens Aberrations .................................................................................141 7.3.1 Chromatic Aberration .....................................................................................142 7.3.2 Geometrical Aberrations ................................................................................142 viii Contents 7.4 Contrast Mechanisms ......................................................................................143 7.4.1 Elastic and Inelastic Scattering .....................................................................143 7.4.2 Phase Contrast: General Considerations .......................................................145 7.4.3 Refraction (Phase) Contrast Through Defocus .............................................146 7.4.4 Analyzing Election Microscope Imaging Defects ........................................148 7.4.5 Impulse Response .........................................................................................148 Chapter 8: Waves ............................................................................................151 8.1 Wave Properties ...............................................................................................151 8.1.1 What are Waves? ........................................................................................151 8.1.2 Introducing Diffraction ..............................................................................154 8.2 The Quantum Electron .....................................................................................155 8.2.1 Electrons as Waves .....................................................................................155 8.2.2 Waves Versus Particles ...............................................................................156 8.3 Fresnel Diffraction ...........................................................................................157 8.3.1 Two-Slit Diffraction ...................................................................................157 8.4 Fraunhofer Diffraction .....................................................................................160 8.4.1 Fraunhofer Means Fourier Transforms ......................................................160 8.4.2 Optical Diffraction .....................................................................................161 8.4.3 General Fraunhofer Diffraction: Reflection/Ewald Sphere ........................163 8.5 Appendix .........................................................................................................164 8.5.1 Resonance Links Scattering with Spectroscopy ........................................164 8.5.2 Large Circle Approximation ......................................................................166 Chapter 9: Wave Imaging .................................................................................169 9.1 Overview of Wave Imaging .............................................................................169 9.1.1 Double Diffraction Imaging .......................................................................169 9.2 Defocus ............................................................................................................172 9.2.1 The (Flattened) Reference Sphere ..............................................................172 9.2.2 Thin Sinusoidal Specimen-Components ....................................................173 9.2.3 Double-Diffraction Perfect Imaging ..........................................................175 9.2.4 Defocused Imaging ....................................................................................177 9.2.5 How Defocus Affects Amplitude/Phase Contrast ......................................179 9.2.6 How Phase Contrast Transfer Function Depends on Defocus, Wavelength and Spatial Frequency ............................................................181 9.2.7 Phase Contrast Transfer Function Correction ............................................184 9.3 Other Aberrations ............................................................................................185 9.3.1 Astigmatism ...............................................................................................185 9.3.2 Spherical Aberration ..................................................................................185 9.3.3 Odd Aberrations: Coma .............................................................................187 9.4 Appendix: Aberration Phase-Shift Geometry ..................................................188 PART HI: GENERAL STRUCTURAL METHODS ..............................................189 Chapter 10: Symmetry .....................................................................................191 10.1 Principles .........................................................................................................191 Contents ix 10.1.1 Introduction to Symmetry ..........................................................................192 10.1.2 Symmetry Operations ................................................................................193 10.1.3 Combinations of Symmetry Operations: Groups .......................................195 10.2 One-Translation Groups ..................................................................................198 10.2.1 One-Dimensional Groups ..........................................................................198 10.2.2 Frieze Groups .............................................................................................199 10.2.3 Helices ........................................................................................................202 10.3 Two-Translation Groups ..................................................................................203 10.3.1 General Principles ......................................................................................203 10.3.2 One-Sided or Projection Plane Groups .................................................204 10.3.3 Two-Sided Plane Groups .........................................................................206 10.4 Three-Translation Groups ................................................................................211 10.4.1 Rotations in Three-Dimension ...................................................................212 10.4.2 Platonic Solids ............................................................................................213 10.4.3 Crystallographic Groups in Three-Dimension ...........................................215 10.5 Fourier Transforms of Crystallographic Symmetry Operations ......................218 10.5.1 Translations ................................................................................................218 10.5.2 Rotations ....................................................................................................219 10.5.3 Screw Axes .................................................................................................220 Chapter 11: Statistics and Matrices ...................................................................223 11.1 Statistics ...........................................................................................................223 11.1.1 Basic Principles ..........................................................................................223 11.1.2 Fourier Transforms of Noise ......................................................................227 11.1.3 Average Value of Measurements ................................................................228 11.1.4 Accuracy of Measurements ........................................................................229 11.1.5 Straight-Line Fits... ....................................................................................229 11.1.6 Principal Component Analysis ...................................................................23) 11.1.7 Interpolation of Fourier Transforms ...........................................................232 11.2 Matrices ...........................................................................................................234 11.2.1 Uniform Distortion and Matrix Eigenvalue Methods ................................235 11.2.2 Multidimensional Energy Surfaces ............................................................237 11.2.3 Energy Minimization in Simple Systems ...................................................238 11.2.4 Optimization of Alignment Parameters .....................................................240 11.3 Structure Optimization and Simulation ...........................................................240 11.3.1 Energy Minimization in Complex Systems ...............................................240 11.3.2 Structure Refinement: NMR Compared with Images ................................241 11.3.3 Dynamics and Normal Vibration Modes ...................................................243 11.4 Appendix .........................................................................................................246 11.4.1 Random Walk .............................................................................................246 Chapter 12: The Third Dimension .....................................................................247 12.1 Depth Through Tilting .....................................................................................247 12.1.1 The Viewing-Sphere and its Fourier Transform ......................................247 12.1.2 Tilts and Three-Dimensional Resolution ...................................................250 χ Contents 12.1.3 Tilts from Symmetry ..................................................................................251 12.1.4 Collecting Tilt Data ....................................................................................253 12.2 Aligning Particle Images .................................................................................255 12.2.1 Overview of Alignment Methods ...............................................................255 12.2.2 Three Translations and Three Rotations (3T + 3R) Define a Particle s Orientation and Position .............................................................................256 12.2.3 Representing Rotations: Eulerian and Spherical Polar Angles ..................258 12.2.4 Classifying the (3T + 3R) Alignment Parameters .....................................258 12.3 Information Content of Particle Images ..........................................................260 12.3.1 Original Images ..........................................................................................260 12.3.2 Information, Resolution and Fourier Transforms ......................................264 12.4 Three-Dimensional Reconstruction: Principles ...............................................267 12.4.1 Fourier Three-Dimensional Reconstruction and Back-Projection .............267 12.4.2 An Example in Both Real and Fourier Space ............................................269 12.4.3 Improving Naïve Reconstructions ..............................................................272 12.4.4 Refinement and Chirality ...........................................................................273 PART IV: SYMMETRY-BASED METHODS ......................................................275 Chapter í 3:X-Ray Crystallography ...................................................................277 13.1 Introduction .....................................................................................................277 13.1.1 Thick Specimens ........................................................................................277 13.1.2 Х -Ray Study of Thick Crystals ..................................................................278 13.2 Specimen and Data Collection ........................................................................279 13.2.1 Protein Crystals ..........................................................................................279 13.2.2 Instrumentation ..........................................................................................280 13.2.3 Collecting a Data-Set .................................................................................281 13.2.4 Preliminary Analysis of the Data-Set .........................................................285 13.3 Ab Initio Phasing .............................................................................................285 13.3.1 The Phase Problem .....................................................................................285 13.3.2 Adding a Heavy Atom and Finding its Position ........................................287 13.3.3 Getting the Phase Information ...................................................................287 13.3.4 Changing the Х -Rays: Anomalous Scattering ...........................................289 13.3.5 Applications of Isomorphous Replacement and Anomalous Scattering... .293 13.4 Other Phasing Methods ...................................................................................294 13.4.1 External Information, Same Lattice: The Difference Fourier ....................294 13.4.2 External Information, Different Lattice: Molecular Replacement .............295 13.4.3 Internal Information: Redundancy .............................................................296 Chapter 14: Crystalline Sheets ..........................................................................299 14.1 Electrons Versus Х -Rays................................................................................. 299 14.1.1 Differences .................................................................................................299 14. 1 .2 The Specimen .............................................................................................300 14.1.3 Image Analysis ...........................................................................................301 14.2 Electron Diffraction ..................................,......................................................301 Contents xi 14.2.1 Uses ............................................................................................................ ЗОЇ 14.2.2 Tilt Geometry: The Missing Cone .............................................................302 14.2.3 Making and Processing the Records ..........................................................304 14.3 Two-Dimensional Imaging ..............................................................................306 14.3.1 Feasibility ...................................................................................................306 14.3.2 Projections ..................................................................................................307 14.4 Three-Dimensional Imaging ............................................................................307 14.4.1 Collecting and Assembling Data ................................................................308 14.4.2 Correcting for Contrast Transfer Function: The Tilt Transfer Function.... 308 Chapter 15: Helices .........................................................................................311 15.1 Helical Symmetry and Structure ......................................................................312 15.1.1 Helical Symmetry Croups ..........................................................................312 15.1.2 Helical Lattices Without Rotational Symmetry .........................................313 15.1.3 Helical Lattices with Rotational Symmetry ...............................................315 15.1.4 Relation of Helices to Sub-Structures ........................................................316 15.2 Helical Fourier Transforms ..............................................................................317 15.2.1 Cylindrical (φ,ζ) Fourier Transform and (ιι,Ζ) Diagram ............................317 15.2.2 Radial Fourier Transform: Amplitudes ......................................................324 15.2.3 Radial Fourier Transform: Phases ..............................................................327 15.2.4 Overall Fourier Transform: Atoms ............................................................327 15.2.5 G-Functions and Radial Inversion ..............................................................329 15.3 Getting a Structure from Helical Diffraction Data ..........................................330 15.3.1 Indexing .....................................................................................................330 15.3.2 Interfering Layer-Lines ..............................................................................333 15.3.3 Tilt Correction ............................................................................................334 15.3.4 Handedness ................................................................................................334 15.3.5 Averaging Data from Different Particles ....................................................334 Chapter 16: icosahedralParticles ......................................................................337 16.1 Deltahedra ........................................................................................................338 16.1.1 Platonic Polyhedra ...................................................................................338 16.1.2 Viral Capsids ..............................................................................................341 16.1.3 Curvature of Deltahedra .............................................................................342 16.2 Projections .......................................................................................................344 16.3 Three-Dimensional Reconstruction .................................................................346 16.3.1 Common Lines ...........................................................................................347 16.3.2 Cryo-Image Problems ................................................................................350 16.3.3 Polar Fourier Transforms ...........................................................................352 16.3.4 Other Methods for Finding Particle Orientations ......................................354 16.3.5 Fourier Transform Interpolation and Inversion ..........................................354 16.4 Appendix: Calculation of T-numbers ..............................................................356 Chapter 17: Unsymmetrical ( Single ) Particles ...................................................359 17.1 Introduction .....................................................................................................359 xii Contents 17.1.1 The Reasons for Single-Particle Methods ..................................................360 17.2 Alignment ........................................................................................................361 17.2.1 Reference-Free Alignment of Particles Differing by (2T + R) .................361 17.2.2 Alignment of Particles Differing by (2T + 3R) .........................................362 17.2.3 The Reference Particle Problem ................................................................363 17.3 Multivariate Statistical Analysis ......................................................................364 17.3.1 The Need for Statistics ...............................................................................364 17.3.2 Multivariate Statistical Analysis Pre-Processing .......................................365 17.3.3 Multivariate Statistical Analysis Processing ..............................................365 17.3.4 Multivariate Statistical Analysis: Interpretation of Factor Space ..............366 17.3.5 The Uses of Multivariate Statistical Analysis ............................................368 17.3.6 Classification ..............................................................................................368 17.4 Reconstruction .................................................................................................369 17.4.1 Data Assembly: Topology ..........................................................................370 17.4.2 Data Assembly: Geometry .........................................................................370 17.4.3 Reconstruction Methods ............................................................................372 17.4.4 Refinement .................................................................................................373 Chapter 18: Distortion Correction .....................................................................37 S 18.1 Introduction .....................................................................................................375 18.1.1 Earlier Distortion Studies ...........................................................................375 18.1.2 Overview of Correction Process ................................................................376 18.2 Crystalline Sheets ............................................................................................377 18.2.1 Fourier Transforms .....................................................................................377 18.2.2 Cross-Correlation Functions ......................................................................377 18.3 Helices .............................................................................................................379 18.3.1 Linear Distortions ......................................................................................379 18.3.2 Three-Dimensional Linear Distortion ........................................................379 18.3.3 Segmental Correction Using Fourier Transforms ......................................381 18.3.4 Helices: Projection Matching in Real Space ..............................................382 18.3.5 Distortion Correction of Crystallographic Structures .............................383 PART V; MATHEMATICAL BASIS .................................................................. 38S Chapter 19: FT Mathematics ............................................................................387 19.1 Introduction .....................................................................................................387 19.2 Algebra ............................................................................................................388 19.2.1 Elementary Algebra ...................................................................................388 19.2.2 Exponential Function .................................................................................389 19.3 Geometry .........................................................................................................390 19.3.1 Trigonometry. .............................................................................................390 19.3.2 Complex Numbers (Phasors): Algebra ......................................................391 19.3.3 Complex Numbers: Geometry ...................................................................392 19.4 Infinitesimals.. .................................................................................................392 19.4.1 Exponential Function .................................................................................392 19.4.2 Exponential Function in the Complex Plane ..............................................393 Contents xiii 19.5 Calculus ....................................................................... ,. ..................................394 19.5.1 Areas and Gradients ...................................................................................395 19.5.2 Calculus: Essential Details .........................................................................396 19.5.3 Calculus: Important Examples ...................................................................397 19.5.4 The Fourier Transform ...............................................................................399 Chapter 20: Elementary Matrices ......................................................................401 20.1 Introducing Matrices ........................................................................................401 20.1.1 From One-Dimension to Two-Dimensions: Vectors ..................................401 20.1.2 Equation-Pairs and Matrices ......................................................................402 20.1.3 Matrix Multiplication .................................................................................403 20.2 Matrix Inversion ..............................................................................................404 20.2.1 Solving a Simple Matrix Equation .............................................................404 20.2.2 Error-Sensitivity .........................................................................................405 20.2.3 Infinitesimal Matrices ................................................................................407 20.2.4 Rotation Matrices .......................................................................................407 20.3 Eigenvectors .....................................................................................................409 20.3.1 Eigenvalues and-vectors ............................................................................409 20.3.2 Matrix Diagonalization ..............................................................................410 20.4 Least-Squares Fits ............................................................................................411 20.4.1 Rectangular Matrices .................................................................................411 20.4.2 Straight-Line Fits .......................................................................................412 20.4.3 Principal Component Analysis ...................................................................414 References ......................................................................................................417 Index ..............................................................................................................427
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id	DE-604.BV039731868
illustrated	Illustrated
indexdate	2024-07-10T00:09:57Z
institution	BVB
isbn	9780123705815 0123705819
language	English
lccn	2011280063
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-024579741
oclc_num	702205137
open_access_boolean
owner	DE-29 DE-19 DE-BY-UBM DE-355 DE-BY-UBR
owner_facet	DE-29 DE-19 DE-BY-UBM DE-355 DE-BY-UBR
physical	xvi, 434 p. Ill., graph. Darst. 24 cm
publishDate	2011
publishDateSearch	2011
publishDateSort	2011
publisher	Academic Press
record_format	marc
spelling	Moody, Michael F. Verfasser aut Structural biology using electrons and X-rays an introduction for biologists Michael F. Moody 1. ed. Amsterdam [u.a.] Academic Press 2011 xvi, 434 p. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 417-425) and index Biomolecules Structure X-ray spectroscopy Electron optics Electron probe microanalysis Röntgenspektroskopie (DE-588)4050331-8 gnd rswk-swf Strukturaufklärung (DE-588)4183788-5 gnd rswk-swf Biomolekül (DE-588)4135124-1 gnd rswk-swf Biomolekül (DE-588)4135124-1 s Strukturaufklärung (DE-588)4183788-5 s Röntgenspektroskopie (DE-588)4050331-8 s b DE-604 http://www.loc.gov/catdir/enhancements/fy1110/2011280063-d.html Publisher description Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024579741&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Moody, Michael F. Structural biology using electrons and X-rays an introduction for biologists Biomolecules Structure X-ray spectroscopy Electron optics Electron probe microanalysis Röntgenspektroskopie (DE-588)4050331-8 gnd Strukturaufklärung (DE-588)4183788-5 gnd Biomolekül (DE-588)4135124-1 gnd
subject_GND	(DE-588)4050331-8 (DE-588)4183788-5 (DE-588)4135124-1
title	Structural biology using electrons and X-rays an introduction for biologists
title_auth	Structural biology using electrons and X-rays an introduction for biologists
title_exact_search	Structural biology using electrons and X-rays an introduction for biologists
title_full	Structural biology using electrons and X-rays an introduction for biologists Michael F. Moody
title_fullStr	Structural biology using electrons and X-rays an introduction for biologists Michael F. Moody
title_full_unstemmed	Structural biology using electrons and X-rays an introduction for biologists Michael F. Moody
title_short	Structural biology using electrons and X-rays
title_sort	structural biology using electrons and x rays an introduction for biologists
title_sub	an introduction for biologists
topic	Biomolecules Structure X-ray spectroscopy Electron optics Electron probe microanalysis Röntgenspektroskopie (DE-588)4050331-8 gnd Strukturaufklärung (DE-588)4183788-5 gnd Biomolekül (DE-588)4135124-1 gnd
topic_facet	Biomolecules Structure X-ray spectroscopy Electron optics Electron probe microanalysis Röntgenspektroskopie Strukturaufklärung Biomolekül
url	http://www.loc.gov/catdir/enhancements/fy1110/2011280063-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024579741&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT moodymichaelf structuralbiologyusingelectronsandxraysanintroductionforbiologists

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