An Introduction to Neutron Scattering - Spallation Neutron Source

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$Powder Diffraction - Spallation Neutron Source$

$Single Crystal Diffraction - Spallation Neutron Source$

SANS Has Been Used to Study Bio-machines • Capel and Moore (1988) used the fact that prokaryotes can grow when H is replaced by D to produce reconstituted ribosomes with various pairs of proteins (but not rRNA) deuterated • They made 105 measurements of interprotein distances involving 93 30S protein pairs over a 12 year period. They also measured radii of gyration • Measurement of inter-protein distances is done by Fourier transforming the form factor to obtain G(R) • They used these data to solve the ribosomal structure, resolving ambiguities by comparison with electron microscopy
Porod Scattering function. n correlatio for the form (Debye) h this factor wit form the evaluate to and r small at V)] A/(2 a [with .. br ar - 1 G(r) expand to is it obtain y to Another wa smooth. is surface particle the provided shape particle any for Q as holds and law s Porod' is This surface. s sphere' the of area the is A where 2 ) ( 2 9 Thus ) resolution by out smeared be will ns oscillatio (the average on 2 / 9 Q as cos 9 cos sin 9 ) ( ) ( cos . sin 9 radius) sphere the is R where 1/R Q (i.e. particle spherical a for Q of values large at ) ( F(Q) of behavior the examine us Let 2 4 4 2 2 2 2 2 2 2 4 2 3 2 4 2 4 2 π π = + + = ∞ → = → = ∞ → → ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − = >> Q A QR V F(Q) V QR V QR QR QR V QR QR QR QR QR V (QR) F(Q) QR
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y Roger Pynn Los Alamos National La
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Why do Neutron Scattering? • To d
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The Neutron has Both Particle-Like
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Thermal Neutrons, 8 keV X-Rays & Lo
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Brightness & Fluxes for Neutron & X
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Scattering by a Single (fixed) Nucl
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Coherent and Incoherent Scattering
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so or ie Coherent Elastic Scatterin
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Neutrons can also gain or lose ener
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Magnetic Scattering • The magneti
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Ene rgy Trans fe r (me V) 10000 100
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References • Introduction to the
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Overview 1. Essential messages from
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What Do We Need to Do a Basic Neutr
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About 1.5 Useful Neutrons Are Produ
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The ESRF* & ILL* With Grenoble & th
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Neutron Sources Provide Neutrons fo
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Proton Radiography 800-MeV Linear A
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Components of a Spallation Source A
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Simultaneously Using Neutrons With
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The Actual ToF Gain From Source Pul
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Why Isn’t There a Universal Neutr
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• Uncertainties in the neutron wa
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Typical Neutron Scattering Instrume
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Most Neutron Detectors Use 3 He •
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Rotating Choppers Are Used to Tailo
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3. Diffraction Next Lecture 1. Diff
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2. Diffraction This Lecture 1. Diff
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Neutron Diffraction • Neutron dif
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For Periodic Arrays of Nuclei, Cohe
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We would be better off if diffracti
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Powder - A Polycrystalline Mass All
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Measuring Neutron Diffraction Patte
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Time-of-Flight Powder Diffraction U
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There’s more than meets the eye i
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How good is this function? Protein
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High-resolution Neutron Powder Diff
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Texture Measurement by Diffraction
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Definitions of Stress and Strain
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Why use Metal Matrix Composites ? F
Page 81 and 82: Neutron Diffraction Measures Mean R
Page 83 and 84: Deformation Mechanism in U/Nb Alloy
Page 85 and 86: Obtaining the Pair Distribution Fun
Page 87 and 88: Effect of Doping on the Octahedra
Page 89 and 90: Surface Reflection Is Very Differen
Page 91 and 92: What Is the Neutron Wavevector Insi
Page 93 and 94: Only Those Thermal or Cold Neutrons
Page 95 and 96: What do the Amplitudes a R and a T
Page 97 and 98: Fresnel’s Law for a Thin Film •
Page 99 and 100: Reflection by a Graded Interface io
Page 101 and 102: Direct Inversion of Reflectivity Da
Page 103 and 104: 4 R*Q z 10 -7 10 -8 10 -9 1.3% PEG
Page 105 and 106: Polarized Neutron Reflectometry (PN
Page 107 and 108: Reflection from Rough Surfaces z z
Page 109 and 110: fi fi fi Q =kf -ki Qx-Qz Transforma
Page 111 and 112: Observation of Hexagonal Packing of
Page 113 and 114: This Lecture 5. Small Angle Neutron
Page 115 and 116: Two Views of the Components of a Ty
Page 117 and 118: Where Does SANS Fit As a Structural
Page 119 and 120: Instrumental Resolution for SANS Tr
Page 121 and 122: SANS Measures Particle Shapes and I
Page 123 and 124: Examples of Spherically-Averaged Fo
Page 125 and 126: Correlations Can Be Measured in Con
Page 127 and 128: Radius of Gyration Is the Particle
Page 129 and 130: Contrast & Contrast Matching Water
Page 131: Verification of of the Gaussian Coi
Page 135 and 136: ln(I) Typical Intensity Plot for SA
Page 137 and 138: References • Viewgraphs describin
Page 139 and 140: We Have Seen How Neutron Scattering
Page 141 and 142: The Elastic & Inelastic Scattering
Page 143 and 144: Examples of S(Q,ω) and S s(Q,ω)
Page 145 and 146: Inelastic Magnetic Scattering of Ne
Page 147 and 148: Measured Inelastic Neutron Scatteri
Page 149 and 150: Atomic Motions for Longitudinal & T
Page 151 and 152: Phonons - the Classical Use for Ine
Page 153 and 154: The Accessible Energy and Wavevecto
Page 155 and 156: What Use Have Phonon Measurements B
Page 157 and 158: Time-of-flight Methods Can Give Com
Page 159 and 160: Neutron Spin Echo By Roger Pynn* Lo
Page 161 and 162: • Uncertainties in the neutron wa
Page 163 and 164: The Underlying Physics of Neutron S
Page 165 and 166: How does a Neutron Spin Behave when
Page 167 and 168: The Principles of NSE are Very Simp
Page 169 and 170: For Quasi-elastic Scattering, the E
Page 171 and 172: Neutron counts ( per 50 sec) Neutro
Page 173 and 174: Field-Integral Inhomogeneities caus
Page 175 and 176: Neutron Spin Echo study of Deformat
Page 177 and 178: Neutron Spin Phases NRSE spectromet
Page 179 and 180: The Measured Polarization for NRSE
Page 181 and 182: Measuring Line Shapes for Inelastic
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“Phonon Focusing” • For a sin
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An NRSE Triple Axis Spectrometer at
Page 187 and 188:
“Tilted” Fields for Diffraction
Page 189 and 190:
Spin Echo SANS using Magnetic Films
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Conclusion: NSE Provides a Way to S
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An Introduction to Neutron Scattering - Spallation Neutron Source

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