Relaxation. Ravinder Reddy
|
|
- Tyrone Garrett
- 5 years ago
- Views:
Transcription
1 Relaxation Ravinder Reddy
2 Relaxation What is nuclear spin relaxation? What causes it? Effect on spectral line width Field dependence Mechanisms
3 Thermal equilibrium ~10-6 spins leads to NMR signal!
4 T1 Spin-lattice relaxation time (T 1 ): Characteristic time required for relaxation of longitudinal magnetization (M z ) toward equilibrium value (M o ). dm z /dt = -(M z -M o )/T 1
5 T2 Spin-spin relaxation time (T 2 ): Characteristic time required for relaxation of transverse magnetization (M xy ) toward equilibrium value (M o ). dm xy /dt = -(M xy )/T 2
6 Thermal equilibrium? How is the thermal equilibrium established? ν B o = 0 B o = 1.5T
7 T1 Spin system Lattice β H W d W u ΔE ΔE α L probability per time of simultaneous transitions from β α and L H as W βl αh dn! dt = N " N L W "L#!H $ N! N H W!H #"L According to Quantum Mechanics W!L"#H = W #H "!L = W
8 T1 W u = N H W and W d = N L W As we can only measure the rate of change in the difference in populations of energy levels, let us introduce n = Nα N β N = N! + N " dn dt =!n(w d + W u ) + N(W d! W u )
9 T1 1 n o = N α 0 N β 0 n o (W d + W u ) + N(W d W u ) = at thermal equilibrium dn/dt = 0 population difference is given by eqn 2 N α o and N β o are given by the Boltzman distribution (eqn 4) N! 0 N = exp(#$e /kt) = N H 0 " N L n o = N(W W ) d u (W d + W u ) From 3 5 From 1and 4 dn dt = (n n o )(W d + W u ) 4 6
10 T1 T1 definition dm z dt = (M z M 0 ) /T 1 dn dt = (n n o )(W d + W u ) T 1 = 1/(W d + W u ) This equation implies that T 1 depends on processes that increase the probability of transitions between α and β energy levels. What are those processes?--->
11 Rotational Motion
12 Frequency components In a sample there will be a distribution of Rotational freqs. Only frequencies at the Larmor Freq. Affect T1 ω o = γb o ====> Translational, vibrational motions?? NMR time scale ~1/ ω o
13 Temperature Increase in temp. increases the higher frequency components Reduces the number of molecular motions at o. Increases the T1 T1(280K)< T1(300K) Effect of Human body temp?
14 Effect of viscosity As the solution gets more viscous the number of molecules with high frequency components decrease. Viscosity of Tissues vary significantly. Biological tissues have different T1s. ν o
15 T2: Natural line width Δt ΔE ω ω o B o = 0 B o = 1.5T According to HUP (Heisennerg Unxertainity Principle) ΔEΔt h(cross) or Δω 1/ Δt Δt =T 1 ====> Δω 1/ 1
16 T 2 Process Fluctuating fields (Hz) which perturb the energy levels of the spin states cause transverse magnetization to dephase ΔE=γB o
17 T2 ΔE ν 1/2 = 1/πT 2 o ν 1/2 =FWHM
18 Observed line width inimum Spectral line width is limited by T1. This is known as natural line width. ν 1/2 1/ 1 Including effects of molecular motions ν 1/2 = 1/πT 2 Contributions to line width due to field inhomogeneities (ΔB o ) ν 1/2 (inhomo) = γδb o /2π Observed line = ν 1/2 = 1/πT * 2 1/T 2 * = 1/T 2 + γδb o /2
19 Relaxation Mechanisms H xy H z M xy H x and H y Must oscillate (fluctuate) at or close to ω o. NMR time scale (~1/ ω o ) Magnetic field that fluctuate more rapidly than ω o are time averaged to zero.
20 Relaxation Mechanisms Motion of nuclear magnetic moments generates a fluctuating magnetic fields H= ih x +jh y +kh z M= im x + jm y +km z (magnetization vector) Interaction between them (H x M)= i(h y M z -H z M y )+j(h z M x -H x M z ) +k(h x M y -H y M x ) H x,y ----> T1 and T2 relaxation H z ----> T2 relaxation -----> T1>T2
21 T2
22 SE 90 o 180 o Spin echo Sig = km o (1-exp(-TR/T1) exp(-te/t2) TE/2 TE/2
23 T1
24 IR 180 o 90 o TI FID
25 IR Sig = kmo [1-2exp(-TI/T 1 ]
26 Fluctuating fields These fluctuating fields have zero average: <B x (t)> = 0 Mean square fluctuating field <B x 2 (t)> 0 B x B o z M y x y
27 Fluctuating fields Since the square of the field is always +, the mean square field is not zero and is the same for all spins. The value of <B x2 (t)> is indicated by dashed line in the plots
28 How rapidly the fields fluctuate? Autocorrelation function of the field (convolution of a function with it self) defined as G( ) = <Bx(t) Bx(t+τ)> 0 It tells us how self similar a function is Fluctuating fields
29 Correlation time Let us examine the field at any one time point t with its value at t+τ. If τ is small compared to the timescale of the fluctuations, then the values of the field at the two time points tend to be similar. If τ is long, then the system loses its memory.
30 Autocorrelation function G( ) G(τ) is large for small values of τ, and tend to zero for large values of. One assumes an exponential form: G(t)= <B x2 > exp(- /τ c ) τ c is known as correlation time of the fluctuations. It indicates how long it takes before the random field changes sign.
31 Spectral density J( ) Spectral density is defined as the 2 FT of G(t): J( ) = 2 o G( ) exp{-i } For G(t)= <B x2 > exp(- /τ c ) The spectral density is given J(w) = 2 <B x2 > τ c /(1+ 2 τ c 2 ) If τ c is short then the SDF is broad and vice versa Normalized SDF, J(w o ) = τ c /(1+ 2 τ c 2 )
32 Spectral density As the solution gets more viscous the number of molecules with high frequency components decrease. Viscosity of Tissues vary significantly. Biological tissues have different T1s. J( ) o log( )
33 T1 1/T1 = 2W (transition probability per unit time between the states) W= (1/2) γ 2 <B x2 > J(w o ) For a model of fluctuating random field along x-axis 1/T 1 = γ 2 <B x2 > J(w o ) 1/T 1 = γ 2 [<B x2 >+ <B y2 >] J(w o, c )) 1/T 2 = γ 2 [<B z2 >] J(o, c ) + 1/(2T 1 ) In this equn. First term is due to static Hz contribution to T2 and the second term is due to finite life time of a spin in an excited energy state.
34 T1 In isotropic liquids motions do not have any preferential directions ----> B x2 = B y 2 = B z2 =B 2 1/T1 = γ 2 [<B x2 >+ <B y2 >] J(w o, c )) = 2 γ 2 [<B 2 >] J(w o, c )) 1/T2 = γ 2 [<B z2 >] J(o, c ) + 1/(2T1) = γ 2 [<H z2 >] [J(o, c ) + J(w o, c )]
35 T1 vs correlation times T1
36 T1 and T2 Variation of relaxation time of protons in water as a function of correlation time at a resonance frequency of 100 MHz (1/ o = 10-8 s) o c < 1, T1=T2 o c 1, T1>T2
37 Relaxation mechanism Combined T1 and T2 Dipole-dipole interactions Chemical shift anisotropy Spin rotation interaction Quadrupole interaction Pure T2 Processes Chemical shift (*) Spin-exchange Static field inhomogeneity(*) Sample inhomogeneity(*) diffusion
Chemistry 431. Lecture 23
Chemistry 431 Lecture 23 Introduction The Larmor Frequency The Bloch Equations Measuring T 1 : Inversion Recovery Measuring T 2 : the Spin Echo NC State University NMR spectroscopy The Nuclear Magnetic
More informationIntroduction to Relaxation Theory James Keeler
EUROMAR Zürich, 24 Introduction to Relaxation Theory James Keeler University of Cambridge Department of Chemistry What is relaxation? Why might it be interesting? relaxation is the process which drives
More informationSpin Relaxation and NOEs BCMB/CHEM 8190
Spin Relaxation and NOEs BCMB/CHEM 8190 T 1, T 2 (reminder), NOE T 1 is the time constant for longitudinal relaxation - the process of re-establishing the Boltzmann distribution of the energy level populations
More informationT 1, T 2, NOE (reminder)
T 1, T 2, NOE (reminder) T 1 is the time constant for longitudinal relaxation - the process of re-establishing the Boltzmann distribution of the energy level populations of the system following perturbation
More informationNMR Dynamics and Relaxation
NMR Dynamics and Relaxation Günter Hempel MLU Halle, Institut für Physik, FG Festkörper-NMR 1 Introduction: Relaxation Two basic magnetic relaxation processes: Longitudinal relaxation: T 1 Relaxation Return
More informationIntroduction to MRI. Spin & Magnetic Moments. Relaxation (T1, T2) Spin Echoes. 2DFT Imaging. K-space & Spatial Resolution.
Introduction to MRI Spin & Magnetic Moments Relaxation (T1, T2) Spin Echoes 2DFT Imaging Selective excitation, phase & frequency encoding K-space & Spatial Resolution Contrast (T1, T2) Acknowledgement:
More informationSpectral Broadening Mechanisms
Spectral Broadening Mechanisms Lorentzian broadening (Homogeneous) Gaussian broadening (Inhomogeneous, Inertial) Doppler broadening (special case for gas phase) The Fourier Transform NC State University
More informationTopics. The concept of spin Precession of magnetic spin Relaxation Bloch Equation. Bioengineering 280A Principles of Biomedical Imaging
Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2006 MRI Lecture 1 Topics The concept of spin Precession of magnetic spin Relaxation Bloch Equation 1 Spin Intrinsic angular momentum of
More informationMagnetic Resonance Imaging. Pål Erik Goa Associate Professor in Medical Imaging Dept. of Physics
Magnetic Resonance Imaging Pål Erik Goa Associate Professor in Medical Imaging Dept. of Physics pal.e.goa@ntnu.no 1 Why MRI? X-ray/CT: Great for bone structures and high spatial resolution Not so great
More informationApodization. Gibbs Artifact. Bioengineering 280A Principles of Biomedical Imaging. Fall Quarter 2013 MRI Lecture 5. rect(k x )
Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2013 MRI Lecture 5 GE Medical Systems 2003 Gibbs Artifact Apodization rect(k ) Hanning Window h(k )=1/2(1+cos(2πk ) 256256 image 256128
More information1 Magnetism, Curie s Law and the Bloch Equations
1 Magnetism, Curie s Law and the Bloch Equations In NMR, the observable which is measured is magnetization and its evolution over time. In order to understand what this means, let us first begin with some
More informationNMR, the vector model and the relaxation
NMR, the vector model and the relaxation Reading/Books: One and two dimensional NMR spectroscopy, VCH, Friebolin Spin Dynamics, Basics of NMR, Wiley, Levitt Molecular Quantum Mechanics, Oxford Univ. Press,
More informationK-space. Spin-Warp Pulse Sequence. At each point in time, the received signal is the Fourier transform of the object s(t) = M( k x
Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2015 MRI Lecture 4 k (t) = γ 2π k y (t) = γ 2π K-space At each point in time, the received signal is the Fourier transform of the object
More informationPhysical fundamentals of magnetic resonance imaging
Physical fundamentals of magnetic resonance imaging Stepan Sereda University of Bonn 1 / 26 Why? Figure 1 : Full body MRI scan (Source: [4]) 2 / 26 Overview Spin angular momentum Rotating frame and interaction
More informationSpectral Broadening Mechanisms. Broadening mechanisms. Lineshape functions. Spectral lifetime broadening
Spectral Broadening echanisms Lorentzian broadening (Homogeneous) Gaussian broadening (Inhomogeneous, Inertial) Doppler broadening (special case for gas phase) The Fourier Transform NC State University
More informationThe Basics of Magnetic Resonance Imaging
The Basics of Magnetic Resonance Imaging Nathalie JUST, PhD nathalie.just@epfl.ch CIBM-AIT, EPFL Course 2013-2014-Chemistry 1 Course 2013-2014-Chemistry 2 MRI: Many different contrasts Proton density T1
More informationClassical Description of NMR Parameters: The Bloch Equations
Classical Description of NMR Parameters: The Bloch Equations Pascale Legault Département de Biochimie Université de Montréal 1 Outline 1) Classical Behavior of Magnetic Nuclei: The Bloch Equation 2) Precession
More informationPhysikalische Chemie IV (Magnetische Resonanz) HS Solution Set 2. Hand out: Hand in:
Solution Set Hand out:.. Hand in:.. Repetition. The magnetization moves adiabatically during the application of an r.f. pulse if it is always aligned along the effective field axis. This behaviour is observed
More informationMR Fundamentals. 26 October Mitglied der Helmholtz-Gemeinschaft
MR Fundamentals 26 October 2010 Mitglied der Helmholtz-Gemeinschaft Mitglied der Helmholtz-Gemeinschaft Nuclear Spin Nuclear Spin Nuclear magnetic resonance is observed in atoms with odd number of protons
More informationClassical Description of NMR Parameters: The Bloch Equations
Classical Description of NMR Parameters: The Bloch Equations Pascale Legault Département de Biochimie Université de Montréal 1 Outline 1) Classical Behavior of Magnetic Nuclei: The Bloch Equation 2) Precession
More informationNMR: Formalism & Techniques
NMR: Formalism & Techniques Vesna Mitrović, Brown University Boulder Summer School, 2008 Why NMR? - Local microscopic & bulk probe - Can be performed on relatively small samples (~1 mg +) & no contacts
More informationFerdowsi University of Mashhad
Spectroscopy in Inorganic Chemistry Nuclear Magnetic Resonance Spectroscopy spin deuterium 2 helium 3 The neutron has 2 quarks with a -e/3 charge and one quark with a +2e/3 charge resulting in a total
More informationMore NMR Relaxation. Longitudinal Relaxation. Transverse Relaxation
More NMR Relaxation Longitudinal Relaxation Transverse Relaxation Copyright Peter F. Flynn 2017 Experimental Determination of T1 Gated Inversion Recovery Experiment The gated inversion recovery pulse sequence
More informationMagnetic Resonance in magnetic materials
Ferdinando Borsa, Dipartimento di Fisica, Universita di Pavia Magnetic Resonance in magnetic materials Information on static and dynamic magnetic properties from Nuclear Magnetic Resonance and Relaxation
More informationSlow symmetric exchange
Slow symmetric exchange ϕ A k k B t A B There are three things you should notice compared with the Figure on the previous slide: 1) The lines are broader, 2) the intensities are reduced and 3) the peaks
More informationSketch of the MRI Device
Outline for Today 1. 2. 3. Introduction to MRI Quantum NMR and MRI in 0D Magnetization, m(x,t), in a Voxel Proton T1 Spin Relaxation in a Voxel Proton Density MRI in 1D MRI Case Study, and Caveat Sketch
More informationPrinciples of Magnetic Resonance Imaging
Principles of Magnetic Resonance Imaging Hi Klaus Scheffler, PhD Radiological Physics University of 1 Biomedical Magnetic Resonance: 1 Introduction Magnetic Resonance Imaging Contents: Hi 1 Introduction
More informationIntroduction to solution NMR. Alexandre Bonvin. The NMR research group. Bijvoet Center for Biomolecular Research
Introduction to solution NMR 1 Alexandre Bonvin Bijvoet Center for Biomolecular Research with thanks to Dr. Klaartje Houben Bente%Vestergaard% The NMR research group Prof. Marc Baldus Prof. Rolf Boelens
More informationChapter 7. Nuclear Magnetic Resonance Spectroscopy
Chapter 7 Nuclear Magnetic Resonance Spectroscopy I. Introduction 1924, W. Pauli proposed that certain atomic nuclei have spin and magnetic moment and exposure to magnetic field would lead to energy level
More informationV27: RF Spectroscopy
Martin-Luther-Universität Halle-Wittenberg FB Physik Advanced Lab Course V27: RF Spectroscopy ) Electron spin resonance (ESR) Investigate the resonance behaviour of two coupled LC circuits (an active rf
More informationPhysics of MR Image Acquisition
Physics of MR Image Acquisition HST-583, Fall 2002 Review: -MRI: Overview - MRI: Spatial Encoding MRI Contrast: Basic sequences - Gradient Echo - Spin Echo - Inversion Recovery : Functional Magnetic Resonance
More informationAn introduction to Solid State NMR and its Interactions
An introduction to Solid State NMR and its Interactions From tensor to NMR spectra CECAM Tutorial September 9 Calculation of Solid-State NMR Parameters Using the GIPAW Method Thibault Charpentier - CEA
More informationBiophysical Chemistry: NMR Spectroscopy
Relaxation & Multidimensional Spectrocopy Vrije Universiteit Brussel 9th December 2011 Outline 1 Relaxation 2 Principles 3 Outline 1 Relaxation 2 Principles 3 Establishment of Thermal Equilibrium As previously
More informationRelaxation, Multi pulse Experiments and 2D NMR
Relaxation, Multi pulse Experiments and 2D NMR To Do s Read Chapter 6 Complete the end of chapter problems; 6 1, 6 2, 6 3, 6 5, 6 9 and 6 10. Read Chapter 15 and do as many problems as you can. Relaxation
More informationK ex. Conformational equilibrium. equilibrium K B
Effects of Chemical Exchange on NMR Spectra Chemical exchange refers to any yprocess in which a nucleus exchanges between two or more environments in which its NMR parameters (e.g. chemical shift, scalar
More informationNuclear Magnetic Resonance Imaging
Nuclear Magnetic Resonance Imaging Simon Lacoste-Julien Electromagnetic Theory Project 198-562B Department of Physics McGill University April 21 2003 Abstract This paper gives an elementary introduction
More information10.4 Continuous Wave NMR Instrumentation
10.4 Continuous Wave NMR Instrumentation coherent detection bulk magnetization the rotating frame, and effective magnetic field generating a rotating frame, and precession in the laboratory frame spin-lattice
More informationTopics. Spin. The concept of spin Precession of magnetic spin Relaxation Bloch Equation
Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2005 MRI Lecture 1 Topics The concept of spin Precession of magnetic spin Relaation Bloch Equation Spin Intrinsic angular momentum of elementary
More informationNMR Spectroscopy: A Quantum Phenomena
NMR Spectroscopy: A Quantum Phenomena Pascale Legault Département de Biochimie Université de Montréal Outline 1) Energy Diagrams and Vector Diagrams 2) Simple 1D Spectra 3) Beyond Simple 1D Spectra 4)
More informationLecture #6 Chemical Exchange
Lecture #6 Chemical Exchange Topics Introduction Effects on longitudinal magnetization Effects on transverse magnetization Examples Handouts and Reading assignments Kowalewski, Chapter 13 Levitt, sections
More informationGeneral NMR basics. Solid State NMR workshop 2011: An introduction to Solid State NMR spectroscopy. # nuclei
: An introduction to Solid State NMR spectroscopy Dr. Susanne Causemann (Solid State NMR specialist/ researcher) Interaction between nuclear spins and applied magnetic fields B 0 application of a static
More informationThe NMR Inverse Imaging Problem
The NMR Inverse Imaging Problem Nuclear Magnetic Resonance Protons and Neutrons have intrinsic angular momentum Atoms with an odd number of proton and/or odd number of neutrons have a net magnetic moment=>
More informationLecture #7 In Vivo Water
Lecture #7 In Vivo Water Topics Hydration layers Tissue relaxation times Magic angle effects Magnetization Transfer Contrast (MTC) CEST Handouts and Reading assignments Mathur-De Vre, R., The NMR studies
More informationIntroduction to Biomedical Imaging
Alejandro Frangi, PhD Computational Imaging Lab Department of Information & Communication Technology Pompeu Fabra University www.cilab.upf.edu MRI advantages Superior soft-tissue contrast Depends on among
More informationChem 325 NMR Intro. The Electromagnetic Spectrum. Physical properties, chemical properties, formulas Shedding real light on molecular structure:
Physical properties, chemical properties, formulas Shedding real light on molecular structure: Wavelength Frequency ν Wavelength λ Frequency ν Velocity c = 2.998 10 8 m s -1 The Electromagnetic Spectrum
More informationSpin Dynamics Basics of Nuclear Magnetic Resonance. Malcolm H. Levitt
Spin Dynamics Basics of Nuclear Magnetic Resonance Second edition Malcolm H. Levitt The University of Southampton, UK John Wiley &. Sons, Ltd Preface xxi Preface to the First Edition xxiii Introduction
More informationINTRODUCTION TO NMR and NMR QIP
Books (NMR): Spin dynamics: basics of nuclear magnetic resonance, M. H. Levitt, Wiley, 2001. The principles of nuclear magnetism, A. Abragam, Oxford, 1961. Principles of magnetic resonance, C. P. Slichter,
More informationBioengineering 278" Magnetic Resonance Imaging" Winter 2010" Lecture 1! Topics:! Review of NMR basics! Hardware Overview! Quadrature Detection!
Bioengineering 278" Magnetic Resonance Imaging" Winter 2010" Lecture 1 Topics: Review of NMR basics Hardware Overview Quadrature Detection Boltzmann Distribution B 0 " = µ z $ 0 % " = #h$ 0 % " = µ z $
More informationTissue Characteristics Module Three
Tissue Characteristics Module Three 1 Equilibrium State Equilibrium State At equilibrium, the hydrogen vector is oriented in a direction parallel to the main magnetic field. Hydrogen atoms within the vector
More informationPrinciples of MRI. Vinyl Record. Last time: Today: Homework Due tonight! EE225E / BIO265. Transforms a temporal signal to a spatial signal
What is this? ` Principles of MRI Lecture 05 EE225E / BIO265 Instructor: Miki Lustig UC Berkeley, EECS The first NMR spectrum of ethanol 1951. 1 2 Today Last time: Linear systems, Fourier Transforms, Sampling
More informationNMR Relaxation and Molecular Dynamics
Ecole RMN Cargese Mars 2008 NMR Relaxation and Molecular Dynamics Martin Blackledge IBS Grenoble Carine van Heijenoort ICSN, CNRS Gif-sur-Yvette Solution NMR Timescales for Biomolecular Motion ps ns µs
More informationMRI Physics I: Spins, Excitation, Relaxation
MRI Physics I: Spins, Excitation, Relaxation Douglas C. Noll Biomedical Engineering University of Michigan Michigan Functional MRI Laboratory Outline Introduction to Nuclear Magnetic Resonance Imaging
More informationBiophysical Chemistry: NMR Spectroscopy
Spin Dynamics & Vrije Universiteit Brussel 25th November 2011 Outline 1 Pulse/Fourier Transform NMR Thermal Equilibrium Effect of RF Pulses The Fourier Transform 2 Symmetric Exchange Between Two Sites
More informationNMR journey. Introduction to solution NMR. Alexandre Bonvin. Topics. Why use NMR...? Bijvoet Center for Biomolecular Research
2 NMR journey Introduction to solution NMR Alexandre Bonvin Bijvoet Center for Biomolecular Research with thanks to Dr. Klaartje Houben EMBO Global Exchange course, CCMB, Hyderabad, India November 29th
More informationChemical Exchange. Spin-interactions External interactions Magnetic field Bo, RF field B1
Chemical Exchange Spin-interactions External interactions Magnetic field Bo, RF field B1 Internal Interactions Molecular motions Chemical shifts J-coupling Chemical Exchange 1 Outline Motional time scales
More informationWe have seen that the total magnetic moment or magnetization, M, of a sample of nuclear spins is the sum of the nuclear moments and is given by:
Bloch Equations We have seen that the total magnetic moment or magnetization, M, of a sample of nuclear spins is the sum of the nuclear moments and is given by: M = [] µ i i In terms of the total spin
More informationBiomedical Imaging Magnetic Resonance Imaging
Biomedical Imaging Magnetic Resonance Imaging Charles A. DiMarzio & Eric Kercher EECE 4649 Northeastern University May 2018 Background and History Measurement of Nuclear Spins Widely used in physics/chemistry
More informationMagnetic Resonance Imaging in a Nutshell
Magnetic Resonance Imaging in a Nutshell Oliver Bieri, PhD Department of Radiology, Division of Radiological Physics, University Hospital Basel Department of Biomedical Engineering, University of Basel,
More informationLinear and nonlinear spectroscopy
Linear and nonlinear spectroscopy We ve seen that we can determine molecular frequencies and dephasing rates (for electronic, vibrational, or spin degrees of freedom) from frequency-domain or timedomain
More informationG Medical Imaging. Outline 4/13/2012. Physics of Magnetic Resonance Imaging
G16.4426 Medical Imaging Physics of Magnetic Resonance Imaging Riccardo Lattanzi, Ph.D. Assistant Professor Department of Radiology, NYU School of Medicine Department of Electrical and Computer Engineering,
More informationThe Physical Basis of the NMR Experiment
The Physical Basis of the NMR Experiment 1 Interaction of Materials with Magnetic Fields F F S N S N Paramagnetism Diamagnetism 2 Microscopic View: Single Spins an electron has mass and charge in addition
More information3 Chemical exchange and the McConnell Equations
3 Chemical exchange and the McConnell Equations NMR is a technique which is well suited to study dynamic processes, such as the rates of chemical reactions. The time window which can be investigated in
More informationQuantum Electronics/Laser Physics Chapter 4 Line Shapes and Line Widths
Quantum Electronics/Laser Physics Chapter 4 Line Shapes and Line Widths 4.1 The Natural Line Shape 4.2 Collisional Broadening 4.3 Doppler Broadening 4.4 Einstein Treatment of Stimulated Processes Width
More informationHow does this work? How does this method differ from ordinary MRI?
361-Lec41 Tue 18nov14 How does this work? How does this method differ from ordinary MRI? NEW kinds of MRI (magnetic resononance imaging (MRI) Diffusion Magnetic Resonance Imaging Tractographic reconstruction
More informationControl of Spin Systems
Control of Spin Systems The Nuclear Spin Sensor Many Atomic Nuclei have intrinsic angular momentum called spin. The spin gives the nucleus a magnetic moment (like a small bar magnet). Magnetic moments
More informationJune 16, Signal generation and gradient fields in MRI. Maximilian Oehm. Summary of physical fundamentals. Motivation. Complex representation
in MRI of Signal in MRI June 16, 2015 in MRI Contents of 1 of 2 3 4 5 6 7 in MRI of of Magnetic field B e z (few T) Splits up energy levels N+ N N ++N 1ppm M = m V B No measurement in z-direction possible
More informationBasic p rinciples COPYRIGHTED MATERIAL. Introduction. Atomic s tructure
1 Basic p rinciples Introduction 1 Atomic structure 1 Motion in the atom 2 MR active nuclei 2 The hydrogen nucleus 4 Alignment 4 Precession 8 The Larmor equation 9 Introduction The basic principles of
More informationRelaxation times in nuclear magnetic resonance
Relaxation times in TEP Related topics Nuclear spins, atomic nuclei with a magnetic moment, precession movement of the nuclear spins, Landau-Lifshitz equation, Bloch equation, magnetisation, resonance
More informationNMR and MRI : an introduction
Intensive Programme 2011 Design, Synthesis and Validation of Imaging Probes NMR and MRI : an introduction Walter Dastrù Università di Torino walter.dastru@unito.it \ Introduction Magnetic Resonance Imaging
More informatione 2m p c I, (22.1) = g N β p I(I +1), (22.2) = erg/gauss. (22.3)
Chemistry 26 Molecular Spectra & Molecular Structure Week # 7 Nuclear Magnetic Resonance Spectroscopy Along with infrared spectroscopy, nuclear magnetic resonance (NMR) is the most important method available
More informationNuclear spin maser with a novel masing mechanism and its application to the search for an atomic EDM in 129 Xe
Nuclear spin maser with a novel masing mechanism and its application to the search for an atomic EDM in 129 Xe A. Yoshimi RIKEN K. Asahi, S. Emori, M. Tsukui, RIKEN, Tokyo Institute of Technology Nuclear
More informationMagnetic Resonance Imaging (MRI)
Magnetic Resonance Imaging Introduction The Components The Technology (MRI) Physics behind MR Most slides taken from http:// www.slideworld.org/ viewslides.aspx/magnetic- Resonance-Imaging- %28MRI%29-MR-Imaging-
More informationMagnetization Gradients, k-space and Molecular Diffusion. Magnetic field gradients, magnetization gratings and k-space
2256 Magnetization Gradients k-space and Molecular Diffusion Magnetic field gradients magnetization gratings and k-space In order to record an image of a sample (or obtain other spatial information) there
More informationTopics. The History of Spin. Spin. The concept of spin Precession of magnetic spin Relaxation
Topics Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2008 MRI Lecture 1 The concept of spin Precession of magnetic spin Relaation Spin The History of Spin Intrinsic angular momentum
More informationOverhauser Magnetometers For Measurement of the Earth s Magnetic Field
Overhauser Magnetometers For Measurement of the Earth s Magnetic Field By: Dr. Ivan Hrvoic GEM Systems Inc. (Magnetic field Workshop on Magnetic Observatory Instrumentation Espoo, Finland. 1989) TABLE
More informationPolarised Nucleon Targets for Europe, 2nd meeting, Bochum 2005
Polarised Nucleon Targets for Europe, nd meeting, Bochum Temperature dependence of nuclear spin-lattice relaxations in liquid ethanol with dissolved TEMPO radicals H. Štěpánková, J. Englich, J. Kohout,
More informationPart III: Sequences and Contrast
Part III: Sequences and Contrast Contents T1 and T2/T2* Relaxation Contrast of Imaging Sequences T1 weighting T2/T2* weighting Contrast Agents Saturation Inversion Recovery JUST WATER? (i.e., proton density
More informationUses of Nuclear Magnetic Resonance (NMR) in Metal Hydrides and Deuterides. Mark S. Conradi
Uses of Nuclear Magnetic Resonance (NMR) in Metal Hydrides and Deuterides Mark S. Conradi Washington University Department of Physics St. Louis, MO 63130-4899 USA msc@physics.wustl.edu 1 Uses of Nuclear
More informationNuclear Magnetic Resonance Imaging
Nuclear Magnetic Resonance Imaging Jeffrey A. Fessler EECS Department The University of Michigan NSS-MIC: Fundamentals of Medical Imaging Oct. 20, 2003 NMR-0 Background Basic physics 4 magnetic fields
More informationTimescales of Protein Dynamics
Timescales of Protein Dynamics From Henzler-Wildman and Kern, Nature 2007 Dynamics from NMR Show spies Amide Nitrogen Spies Report On Conformational Dynamics Amide Hydrogen Transverse Relaxation Ensemble
More informationThe Physical Basis of Nuclear Magnetic Resonance Part I ESMRMB. Jürgen R. Reichenbach
The Physical Basis of Nuclear agnetic Resonance Part I Jürgen R. Reichenbach odule 1 October 17, 216 Outline of odule Introduction Spin and magnetic moment Spin precession, Larmor frequency agnetic properties
More informationPart II: Magnetic Resonance Imaging (MRI)
Part II: Magnetic Resonance Imaging (MRI) Contents Magnetic Field Gradients Selective Excitation Spatially Resolved Reception k-space Gradient Echo Sequence Spin Echo Sequence Magnetic Resonance Imaging
More informationSpectral Resolution. Spectral resolution is a measure of the ability to separate nearby features in wavelength space.
Spectral Resolution Spectral resolution is a measure of the ability to separate nearby features in wavelength space. R, minimum wavelength separation of two resolved features. Delta lambda often set to
More informationSpin. Nuclear Spin Rules
Spin Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 203 MRI Lecture Intrinsic angular momentum of elementary particles -- electrons, protons, neutrons. Spin is quantized. Key concept
More informationNuclear Magnetic Resonance Log
Objective The development of the nuclear magnetic resonance (NMR) log was fueled by the desire to obtain an estimate of permeability from a continuous measurement. Previous work had relied on empirical
More informationTimescales of Protein Dynamics
Timescales of Protein Dynamics From Henzler-Wildman and Kern, Nature 2007 Summary of 1D Experiment time domain data Fourier Transform (FT) frequency domain data or Transverse Relaxation Ensemble of Nuclear
More informationAndrea Morello. Nuclear spin dynamics in quantum regime of a single-molecule. magnet. UBC Physics & Astronomy
Nuclear spin dynamics in quantum regime of a single-molecule magnet Andrea Morello UBC Physics & Astronomy Kamerlingh Onnes Laboratory Leiden University Nuclear spins in SMMs Intrinsic source of decoherence
More informationPRACTICAL ASPECTS OF NMR RELAXATION STUDIES OF BIOMOLECULAR DYNAMICS
PRACTICAL ASPECTS OF MR RELAXATIO STUDIES OF BIOMOLECULAR DYAMICS Further reading: Can be downloaded from my web page Korzhnev D.E., Billeter M., Arseniev A.S., and Orekhov V. Y., MR Studies of Brownian
More informationSpin-spin coupling I Ravinder Reddy
Spin-spin coupling I Ravinder Reddy Spin-interactions External interactions Magnetic field Bo, RF field B1 Internal Interactions Molecular motions Exchange Chemical shifts J-coupling Spin Diffusion Dipolar
More informationPrincipios Básicos de RMN en sólidos destinado a usuarios. Gustavo Monti. Fa.M.A.F. Universidad Nacional de Córdoba Argentina
Principios Básicos de RMN en sólidos destinado a usuarios Gustavo Monti Fa.M.A.F. Universidad Nacional de Córdoba Argentina CONTENIDOS MODULO 2: Alta resolución en sólidos para espines 1/2 Introducción
More informationProtein dynamics from NMR Relaxation data
Protein dynamics from NMR Relaxation data Clubb 3/15/17 (S f2 ) ( e ) Nitrogen-15 relaxation ZZ-exchange R 1 = 1/T 1 Longitudinal relaxation (decay back to z-axis) R 2 = 1/T 2 Spin-spin relaxation (dephasing
More informationwhere, c is the speed of light, ν is the frequency in wave numbers (cm -1 ) and µ is the reduced mass (in amu) of A and B given by the equation: ma
Vibrational Spectroscopy A rough definition of spectroscopy is the study of the interaction of matter with energy (radiation in the electromagnetic spectrum). A molecular vibration is a periodic distortion
More informationMeasuring Spin-Lattice Relaxation Time
WJP, PHY381 (2009) Wabash Journal of Physics v4.0, p.1 Measuring Spin-Lattice Relaxation Time L.W. Lupinski, R. Paudel, and M.J. Madsen Department of Physics, Wabash College, Crawfordsville, IN 47933 (Dated:
More informationJoint Project between Japan and Korea M. Jeong, M. Song, S. Lee (KAIST, Korea) +KBSI T. Ueno, M. Matsubara (Kyoto University, Japan)+Fukui Univ.
Joint Project between Japan and Korea M. Jeong, M. Song, S. Lee (KAIST, Korea) +KBSI T. Ueno, M. Matsubara (Kyoto University, Japan)+Fukui Univ. +Vasiliev(Turku) 31 P NMR at low temperatures ( down to
More informationNMR Imaging in porous media
NMR Imaging in porous media What does NMR give us. Chemical structure. Molecular structure. Interactions between atoms and molecules. Incoherent dynamics (fluctuation, rotation, diffusion). Coherent flow
More informationAdvanced Quantum Mechanics
Advanced Quantum Mechanics Rajdeep Sensarma sensarma@theory.tifr.res.in Quantum Dynamics Lecture #2 Recap of Last Class Schrodinger and Heisenberg Picture Time Evolution operator/ Propagator : Retarded
More informationBasis of MRI Contrast
Basis of MRI Contrast MARK A. HORSFIELD Department of Cardiovascular Sciences University of Leicester Leicester LE1 5WW UK Tel: +44-116-2585080 Fax: +44-870-7053111 e-mail: mah5@le.ac.uk 1 1.1 The Magnetic
More informationChapter 14:Physics of Magnetic Resonance
Chapter 14:Physics of Magnetic Resonance Slide set of 141 slides based on the chapter authored by Hee Kwon Song of the publication (ISBN 978-92-0-131010-1): Diagnostic Radiology Physics: A Handbook for
More informationBasic Pulse Sequences I Saturation & Inversion Recovery UCLA. Radiology
Basic Pulse Sequences I Saturation & Inversion Recovery Lecture #5 Learning Objectives Explain what the most important equations of motion are for describing spin systems for MRI. Understand the assumptions
More informationLecture #6 (The NOE)
Lecture #6 (The OE) 2/18/15 Clubb Determining Protein tructures by MR: Measure thousands of shorter inter-hydrogen atom distances. Use these to restrain the structure of protein computationally. Distance
More information