Introduction. Introduction. Introduction. Chem Experiment 4 NMR & Mass Spectroscopy and Biomolecular Structure. Fall, 2011

Size: px
Start display at page:

Download "Introduction. Introduction. Introduction. Chem Experiment 4 NMR & Mass Spectroscopy and Biomolecular Structure. Fall, 2011"

Transcription

1 hem 43 - Experiment 4 MR & Mass pectroscopy and Biomolecular tructure Fall, 2 What does MR measure? Introduction What information does MR provide us about the structures of biological macromolecules - Will focus on the contributions of Kurt Wüthrich, the 22 obel Prize winner in hemistry. 2 istorical timeline Introduction 922 tern (obel Prize, 943) & Gerlach measure intrinsic angular momentum, I, of particles - beam is split in inhomogeneous field; spins (I) are quantized 924 Pauli (obel Prize, 94): two-valued quantum degree of freedom - spin quantum numbers and the Pauli Exclusion Principle 938 Rabi (obel Prize, 944) introduces the molecular-beam magnetic-resonance detection method - MR 946 Bloch (obel Prize, 92) and Purcell (obel Prize, 92) observed proton MR in liquids and solids 3 istorical timeline Introduction 922 tern (obel Prize, 943) & Gerlach measure intrinsic angular momentum, I, of particles - beam is split in inhomogeneous field; spins (I) are quantized 924 Pauli (obel Prize, 94): two-valued quantum degree of freedom - spin quantum numbers and the Pauli Exclusion Principle 938 Rabi (obel Prize, 944) introduces the molecular-beam magnetic-resonance detection method - MR 946 Bloch (obel Prize, 92) and Purcell (obel Prize, 92) observed proton MR in liquids and solids 3

2 istorical timeline Introduction 922 tern (obel Prize, 943) & Gerlach measure intrinsic angular momentum, I, of particles - beam is split in inhomogeneous field; spins (I) are quantized 924 Pauli (obel Prize, 94): two-valued quantum degree of freedom - spin quantum numbers and the Pauli Exclusion Principle 938 Rabi (obel Prize, 944) introduces the molecular-beam magnetic-resonance detection method - MR 946 Bloch (obel Prize, 92) and Purcell (obel Prize, 92) observed proton MR in liquids and solids 3 istorical timeline, con d Introduction 93 verhauser and others report E s and their correlation to internuclear distances - MR contains structural information 966 Ernst (obel Prize, 99) proposes Fourier transform MR - Greatly improved sensitivity and resolution 972 Lauterbur (obel Prize, 23) and others demonstrate imaging by MR 976 Ernst (obel Prize, 99) introduces 2 spectroscopy (ideas from Jeener) 98 Wüthrich (obel Prize, 22) presents a 3 structure of a protein, after complete assignment of 2 spectra 4 uclear - MR pectroscopy looks at the local environment of atomic nuclei, some of which have magnetic spins (I ). A Mass umber Z Atomic umber I uclear pin dd Even or dd /2, 3/2, /2,... Even Even Even dd, 2, 3,... uclear - MR pectroscopy looks at the local environment of atomic nuclei, some of which have magnetic spins (I ). A Mass umber Z Atomic umber I uclear pin dd Even or dd /2, 3/2, /2,... Even Even Even dd, 2, 3,...

3 uclear - MR pectroscopy looks at the local environment of atomic nuclei, some of which have magnetic spins (I ). A Mass umber Z Atomic umber I uclear pin dd Even or dd /2, 3/2, /2,... Even Even Even dd, 2, 3,... 6 uclear Magnetic - uclei with non-zero magnet spins, have a magnetic moment: h µ m = γ I 2π where: µm is the magnetic moment I is the spin angular momentum. γ is the gyromagnetic ratio (how fast the nucleus will precess in a magnetic field. h is Planck s constant MR stands for uclear Magnetic Resonance pectroscopy Νuclear Magnetic - When placed in a strong magnetic field (Βο), nuclei with non-zero magnetic spins will precess like a tops. 7 MR stands for uclear Magnetic Resonance pectroscopy Νuclear Magnetic - When placed in a strong magnetic field (Βο), nuclei with non-zero magnetic spins will precess like a tops. 7

4 uclear Magnetic - For nuclei with I = /2, the magnetic spin quantum number, mm, has one of two values mm = +/2 mm = -/2. - The energy of these two quantum states is given by E = µ m B o h = γ 2π m B o 8 uclear Magnetic - For nuclei with I = /2, the magnetic spin quantum number, mm, has one of two values - The energy difference between these two quantum states increases with the field strength of the magnet (Βο) mm = +/2 Energy - B (Field trength) mm = -/2 9 uclear Magnetic - For nuclei with I = /2, the magnetic spin quantum number, mm, has one of two values - The energy difference between these two quantum states increases with the field strength of the magnet (Βο) mm = +/2 Energy - B (Field trength) mm = -/2 9 uclear Magnetic - For nuclei with I = /2, the magnetic spin quantum number, mm, has one of two values - The energy difference between these two quantum states increases with the field strength of the magnet (Βο) mm = +/2 Energy - B (Field trength) mm = -/2 9

5 uclear Magnetic - When all the magnetic spins are added together, there is a net excess of spins aligned with the field (mm = -/2) compared to against the field (mm = +/2) a ue to thermal motions, the difference in populations is quite small For our magnet / 2 +/ 2 =.64 for uclear Magnetic - When all the magnetic spins are added The together, very weak there is a net excess of spins aligned with the field (mm sensitivity = -/2) of compared the to against the field (mm = +/2) MR signal is one of the driving forces ue to thermal a behind developing motions, the larger magnets. difference in The 9 Mz populations is magnet at the quite small University of For our magnet Wisconsin-Madison / 2 =.64 +/ 2 for uclear Magnetic - When all the magnetic spins are added together, there is a net excess of spins aligned with the field (mm = -/2) compared to against the field (mm = +/2) a ue to thermal motions, the difference in populations is quite small For our magnet / 2 +/ 2 =.64 for uclear Magnetic - The excess produces a net magnet moment (Μο) that is aligned with the field.

6 uclear Magnetic Resonance - If a sample in a strong magnet field is irradiated with electromagnetic radiation that is tuned to the precession (resonance) frequency of a nucleus. The nucleus will absorb the radiation and flip from the mm = -/2 state to the mm = +/2 state. 2 uclear Magnetic Resonance - epending on the local magnetic environment, different nuclei will resonate at different frequencies with the radiation. resonances Frequency 3 uclear Magnetic Resonance pectroscopy - In a bygone era, MR spectra were obtained by scanning through the frequencies and observing which frequencies were absorbed. These spectrometer were called continuous wave MR spectrometers. - Modern MR spectrometers use a method developed by Richard Ernst that involves Fourier transforms. These spectrometers are called FT-MR spectrometers. 4 FT-MR pectroscopy Instead of exciting the nuclei one frequency at a time, the magnetization (Mo) is rotated from the z-axis onto the the x-y plane by applying a strong magnetic pulse along the y-axis. This is called a 9 pulse.

7 FT-MR pectroscopy As the magnetization will rotate in the x-y plane at the precession (resonance) frequency. As it sweeps past the receiver coil located on the x-axis, it will induce an electrical current in the coil that oscillates at the resonance frequency (ωο in radians, νo in hertz). ω o = γ B o ν o = γ B o 2π This signal will decay with time to produce what is called a free induction decay, or FI. 6 FT-MR pectroscopy As the magnetization will rotate in the x-y plane at the precession (resonance) frequency. As it sweeps past the receiver coil located on the x-axis, it will induce an electrical current in the coil that oscillates at the resonance frequency (ωο in radians, νo in hertz). ω o = γ B o ν o = γ B o 2π This signal will decay with time to produce what is called a free induction decay, or FI. 6 FT-MR pectroscopy As the magnetization will rotate in the x-y plane at the precession (resonance) frequency. As it sweeps past the receiver coil located on the x-axis, it will induce an electrical current in the coil that oscillates at the resonance frequency (ωο in radians, νo in hertz). ω o = γ B o ν o = γ B o 2π This signal will decay with time to produce what is called a free induction decay, or FI. 6 FT-MR pectroscopy The MR spectrum is obtained by carrying out a Fourier transform on the FI to extract the frequency components of the FI Richard Ernst was awarded his obel Prize in 99, in part, for his work in developing FT- MR. 7

8 FT-MR pectroscopy 8 pin-pin oupling Resonance peaks can be split by the presence of other magnetic nuclei, which are located to 3 bonds away in the structure. This phenomenon is called spin-spin, scaler, or J coupling 9 pin-pin oupling Resonance peaks can be split by the presence of other magnetic nuclei, which are located to 3 bonds away in the structure. This phenomenon is called spin-spin, scaler, or J coupling 2 pin-pin oupling Resonance peaks can be split by the presence of other magnetic nuclei, which are located to 3 bonds away in the structure. This phenomenon is called spin-spin, scaler, or J coupling 2

9 pin-pin oupling The frequency difference for the split peaks is called the coupling constant, J. 3-bond coupling constants contain information about the dihedral angle between the two nuclei. 22 In 22, Kurt Wüthrich shared the obel Prize in hemistry for his contributions in applying MR spectroscopy to the study of biological macromolecules Like Richard Ernst, Wüthrich work at the ET Institute in Zurich, witzerland is obel Prize winning contributions span a 3- year period. 23 The MR pectra of proteins contains structural information. The thermal denaturation of lysozyme (96 s). 24 The MR pectra of proteins contains structural information. omparison of spectrum for bovine pancreatic trypsin inhibitor (BPTI) with that expected for the unfolded form of the protein (97 s). 2

10 The MR pectra of proteins contains structural information. Ring current shifts. 26 The MR pectra of proteins contains structural information. A lot of the early MR studies on proteins were done on heme-containing proteins. - The ring current shifts arising from the heme groups would shift some of the resonances out from under the envelope, where they could be studied 27 Advances in MR technologies in the 97 s opened up new avenues for study. Fourier Transform MR uperconducting magnets with higher, more stable fields Mz continuous-wave MR Mz FT-MR Recognized that the uclear verhauser effect (E) contained information that could be used to solve for the solution structure of biomacromolecules. E An E is observed as change in intensity that occurs in one resonance peak when another resonance peak is irradiated. It arrises from through-space dipole-dipole interactions between different nuclei. ( ) r 6 f τ 29

11 The emergence of FT-MR spectrometers led to the development of multi-pulse, 2-dimensional MR experiments. Richard Ernst also contributed to the development of 2experiments These experiments greatly expanded the resolution and efficiency of collecting spin-spin (J) and dipole-dipole (E) data on large molecules - For example: 2-Y (spin-spin, through bond, coupling) 2-EY (dipole-dipole, through space, coupling) 3 The emergence of FT-MR spectrometers led to the development of multi-pulse, 2-dimensional MR experiments. 2-EY spectrum of BUI IIA at Mz 3 The emergence of FT-MR spectrometers led to the development of multi-pulse, 2-dimensional MR experiments. 2-EY spectrum of BUI IIA at Mz 3 The emergence of FT-MR spectrometers led to the development of multi-pulse, 2-dimensional MR experiments. 2-EY spectrum of BUI IIA at Mz 3

12 -MR spectrum of the amino acid leucine MR spectrum of the amino acid leucine PPM MR spectrum of the amino acid leucine PPM MR spectrum of the amino acid leucine PPM

13 -MR spectrum of the amino acid leucine PPM MR spectrum of the amino acid leucine PPM MR spectrum of the amino acid leucine PPM MR spectrum of the amino acid leucine PPM PPM

14 -MR spectrum of the amino acid leucine PPM Y 3 Y By moving to 2-dimensions, we can map out correlations between different protons ( ). 3 Y 3

15 36 Y Y 37 Y 38 Y 39

16 4 Y Y TY experiments allow us to map out entire spin systems in one step. 4 Y TY experiments allow us to map out entire spin systems in one step. 4 Y TY experiments allow us to map out entire spin systems in one step

17 4 TY TY 42 TY 43 TY 44

18 44 TY Applying this now to methanobactin spectrum for Methanobactin 44 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met TY 3 4 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met TY 4

19 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met TY glycine 4 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met TY 46 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met TY 3 serine 46 TI or Gly er 2 ys 3 Tyr 4 TI er ys 6 Met TY serine 46

20 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met TY 47 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met or 3 TY serine 47 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met 7 u REY 3 48 TI u + Gly er 2 ys 3 Tyr 4 TI er ys 6 Met REY experiments allow us to connect spin systems. 3 48

21 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met 7 u REY 48 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met 7 u REY 49 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met 7 u REY 3 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met 7 u REY

22 TI Gly er 2 ys 3 Tyr 4 TI er ys 6 Met 7 u REY 2 Wüthrich and coworkers developed methods of making sequencial resonance assignments for all of resonances in a protein. 3 Wüthrich and coworkers developed methods of making sequencial resonance assignments for all of resonances in a protein. 4 With the assignments in hand, they could then go on and use the Y and EY data to determine the local structure of a polypeptide backbone α-helices β-sheets

23 The EY data can also be used find long range interactions, which can be used to predict the tertiary structure of biomacromolecules. 6 In 98, Wüthrich and coworkers published the first 3- dimensional solution structure of a protein that was determined using MR spectroscopy. olution structure of bull seminal proteinase inhibitor (BUI) IIA 7 There protocol has since been used to solve the solution structures of numerous proteins. 8 9

24 In 98, Wüthrich and coworkers published the first 3- dimensional solution structure of a protein that was determined using MR spectroscopy. olution structure of bovine pancreatic tripsin inhibitor 6 Modern higher dimensional and indirect detection experiments are further stream-lining the protocol. With one day the goal being to fully automate the process. 6 Wüthrich and coworkers have gone on to develop experiments that can greatly expand the size of macromolecule whose structure can be determined. 62 In 997 they published and MR experiment called TRY (Transverse Relaxation ptimization pectroscopy), which has be used to study systems as large as 87, a. 63

25 In 997 they published and MR experiment called TRY (Transverse Relaxation ptimization pectroscopy), which has be used to study systems as large as 87, a. 64 Mass pectroscopy Accurate mass determination on mb using our Agilent 62 EI-TF mass spectrometer 6 Mass pectroscopy The isotope pattern reflects the relative distribution for each isotope in a sample m/z = 2.2 (M u + ) - 66 Mass pectroscopy The isotope pattern reflects the relative distribution for each isotope in a sample 67

26 8x 3 Mass pectroscopy 6 The isotope pattern reflects the relative distribution for each 4 isotope in a sample TI m/z 2 2 8x 3 TI m/z x 3 2 TI m/z Mass pectroscopy Even though the highest m/z accessible on our instrument is 3, the molecular weights of large proteins can still be determined. 68 Mass pectroscopy Even though the highest m/z accessible on our instrument is 3, the molecular weights of large proteins can still be determined. 68 Mass pectroscopy Even though the highest m/z accessible on our instrument is 3, the molecular weights of large proteins can still be determined. 68

27 The End

NMR Spectroscopy of Polymers

NMR Spectroscopy of Polymers UNESCO/IUPAC Course 2005/2006 Jiri Brus NMR Spectroscopy of Polymers Brus J 1. part At the very beginning the phenomenon of nuclear spin resonance was studied predominantly by physicists and the application

More information

Chapter 7. Nuclear Magnetic Resonance Spectroscopy

Chapter 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 information

Ch : Advanced Analytical Chemistry: NMR

Ch : Advanced Analytical Chemistry: NMR Ch 235.42: Advanced Analytical Chemistry: NMR COURSE OBJECTIVES 1. Understand the theoretical basis of NMR; 2. Use of NMR for organic compounds and to observe other nuclei, such as 31P or 19F 3. Understand

More information

NMR Spectroscopy. Guangjin Hou

NMR Spectroscopy. Guangjin Hou NMR Spectroscopy Guangjin Hou 22-04-2009 NMR History 1 H NMR spectra of water H NMR spectra of water (First NMR Spectra on Water, 1946) 1 H NMR spectra ethanol (First bservation of the Chemical Shift,

More information

Chem 325 NMR Intro. The Electromagnetic Spectrum. Physical properties, chemical properties, formulas Shedding real light on molecular structure:

Chem 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 information

Magnetic Resonance Spectroscopy EPR and NMR

Magnetic Resonance Spectroscopy EPR and NMR Magnetic Resonance Spectroscopy EPR and NMR A brief review of the relevant bits of quantum mechanics 1. Electrons have spin, - rotation of the charge about its axis generates a magnetic field at each electron.

More information

Introduction to NMR! Ravinder Reddy!

Introduction to NMR! Ravinder Reddy! Introduction to NMR! Ravinder Reddy! Brief History of NMR! First detection of NMR! MSNMR! FT NMR! 2D NMR! 2D-NMR and protein structure! Development of MRI! Outline! Concept of SPIN! Spin angular momentum!

More information

Physical Background Of Nuclear Magnetic Resonance Spectroscopy

Physical Background Of Nuclear Magnetic Resonance Spectroscopy Physical Background Of Nuclear Magnetic Resonance Spectroscopy Michael McClellan Spring 2009 Department of Physics and Physical Oceanography University of North Carolina Wilmington What is Spectroscopy?

More information

Biochemistry 530 NMR Theory and Practice

Biochemistry 530 NMR Theory and Practice Biochemistry 530 NMR Theory and Practice Gabriele Varani Department of Biochemistry and Department of Chemistry University of Washington Lecturer: Gabriele Varani Biochemistry and Chemistry Room J479 and

More information

Introduction of Key Concepts of Nuclear Magnetic Resonance

Introduction of Key Concepts of Nuclear Magnetic Resonance I have not yet lost that sense of wonder, and delight, that this delicate motion should reside in all ordinary things around us, revealing itself only to those who looks for it. E. M. Purcell, Nobel Lecture.

More information

Chapter 13 Structure t Determination: Nuclear Magnetic Resonance Spectroscopy

Chapter 13 Structure t Determination: Nuclear Magnetic Resonance Spectroscopy John E. McMurry www.cengage.com/chemistry/mcmurry Chapter 13 Structure t Determination: ti Nuclear Magnetic Resonance Spectroscopy Revisions by Dr. Daniel Holmes MSU Paul D. Adams University of Arkansas

More information

Chapter 16 Nuclear Magnetic Resonance Spectroscopy

Chapter 16 Nuclear Magnetic Resonance Spectroscopy hapter 16 Nuclear Magnetic Resonance Spectroscopy The Spinning Proton A spinning proton generates a magnetic field, resembling that of a small bar magnet. An odd number of protons in the nucleus creates

More information

BCMB / CHEM 8190 Biomolecular NMR GRADUATE COURSE OFFERING IN NUCLEAR MAGNETIC RESONANCE

BCMB / CHEM 8190 Biomolecular NMR GRADUATE COURSE OFFERING IN NUCLEAR MAGNETIC RESONANCE BCMB / CHEM 8190 Biomolecular NMR GRADUATE COURSE OFFERING IN NUCLEAR MAGNETIC RESONANCE "Biomolecular Nuclear Magnetic Resonance" is a course intended for all graduate students with an interest in applications

More information

NMR BMB 173 Lecture 16, February

NMR BMB 173 Lecture 16, February NMR The Structural Biology Continuum Today s lecture: NMR Lots of slides adapted from Levitt, Spin Dynamics; Creighton, Proteins; And Andy Rawlinson There are three types of particles in the universe Quarks

More information

Lecture 02 Nuclear Magnetic Resonance Spectroscopy Principle and Application in Structure Elucidation

Lecture 02 Nuclear Magnetic Resonance Spectroscopy Principle and Application in Structure Elucidation Application of Spectroscopic Methods in Molecular Structure Determination Prof. S. Sankararaman Department of Chemistry Indian Institution of Technology Madras Lecture 02 Nuclear Magnetic Resonance Spectroscopy

More information

A Hands on Introduction to NMR Lecture #1 Nuclear Spin and Magnetic Resonance

A Hands on Introduction to NMR Lecture #1 Nuclear Spin and Magnetic Resonance A Hands on Introduction to NMR 22.920 Lecture #1 Nuclear Spin and Magnetic Resonance Introduction - The aim of this short course is to present a physical picture of the basic principles of Nuclear Magnetic

More information

Nuclear Magnetic Resonance Imaging

Nuclear 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 information

MRI Physics I: Spins, Excitation, Relaxation

MRI 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 information

Lecture #6 (The NOE)

Lecture #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

V27: RF Spectroscopy

V27: 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 information

The Theory of Nuclear Magnetic Resonance Behind Magnetic Resonance Imaging. Catherine Wasko Physics 304 Physics of the Human Body May 3, 2005

The Theory of Nuclear Magnetic Resonance Behind Magnetic Resonance Imaging. Catherine Wasko Physics 304 Physics of the Human Body May 3, 2005 The Theory of Nuclear Magnetic Resonance Behind Magnetic Resonance Imaging Catherine Wasko Physics 304 Physics of the Human Body May 3, 2005 Magnetic resonance imaging (MRI) is a tool utilized in the medical

More information

Measuring Spin-Lattice Relaxation Time

Measuring 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 information

The NMR Inverse Imaging Problem

The 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 information

Ferdowsi University of Mashhad

Ferdowsi 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 information

To Do s. Answer Keys are available in CHB204H

To Do s. Answer Keys are available in CHB204H To Do s Read Chapters 2, 3 & 4. Complete the end-of-chapter problems, 2-1, 2-2, 2-3 and 2-4 Complete the end-of-chapter problems, 3-1, 3-3, 3-4, 3-6 and 3-7 Complete the end-of-chapter problems, 4-1, 4-2,

More information

NMR Spectroscopy: A Quantum Phenomena

NMR 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 information

Lecture 12 February 11, 2016

Lecture 12 February 11, 2016 MATH 262/CME 372: Applied Fourier Analysis and Winter 2016 Elements of Modern Signal Processing Lecture 12 February 11, 2016 Prof. Emmanuel Candes Scribe: Carlos A. Sing-Long, Edited by E. Bates 1 Outline

More information

To Do s. Answer Keys are available in CHB204H

To Do s. Answer Keys are available in CHB204H To Do s Read Chapters 2, 3 & 4. Complete the end-of-chapter problems, 2-1, 2-2, 2-3 and 2-4 Complete the end-of-chapter problems, 3-1, 3-3, 3-4, 3-6 and 3-7 Complete the end-of-chapter problems, 4-1, 4-2,

More information

Nuclear Magnetic Resonance

Nuclear Magnetic Resonance Nuclear Magnetic Resonance Lectures for CCB 538 James Aramini, PhD. CABM 014A jma@cabm.rutgers.edu J.A.! 04/21/14! April 21!!!!April 23!! April 28! Outline 1. Introduction / Spectroscopy Overview! 2. NMR

More information

Topics. The concept of spin Precession of magnetic spin Relaxation Bloch Equation. Bioengineering 280A Principles of Biomedical Imaging

Topics. 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 information

VIII. NUCLEAR MAGNETIC RESONANCE (NMR) SPECTROSCOPY

VIII. NUCLEAR MAGNETIC RESONANCE (NMR) SPECTROSCOPY 1 VIII. NUCLEAR MAGNETIC RESONANCE (NMR) SPECTROSCOPY Molecules are extremely small entities; thus, their direct detection and direct investigation is still almost impossible. For the detection and detailed

More information

COPYRIGHTED MATERIAL. Production of Net Magnetization. Chapter 1

COPYRIGHTED MATERIAL. Production of Net Magnetization. Chapter 1 Chapter 1 Production of Net Magnetization Magnetic resonance (MR) is a measurement technique used to examine atoms and molecules. It is based on the interaction between an applied magnetic field and a

More information

Nuclear Magnetic Resonance Spectroscopy

Nuclear Magnetic Resonance Spectroscopy Nuclear Magnetic Resonance Spectroscopy Structural Elucidation Nuclear magnetic resonance spectroscopy is the name given to the technique which exploits the magnetic properties of nuclei and measures their

More information

Chemistry 431. Lecture 23

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 information

BMB/Bi/Ch 173 Winter 2018

BMB/Bi/Ch 173 Winter 2018 BMB/Bi/Ch 173 Winter 2018 Homework Set 8.1 (100 Points) Assigned 2-27-18, due 3-6-18 by 10:30 a.m. TA: Rachael Kuintzle. Office hours: SFL 220, Friday 3/2 4:00-5:00pm and SFL 229, Monday 3/5 4:00-5:30pm.

More information

Fundamental MRI Principles Module Two

Fundamental MRI Principles Module Two Fundamental MRI Principles Module Two 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons neutrons electrons positively charged no significant charge negatively charged Protons

More information

Basics of NMR Spectroscopy. Mark Maciejewski Nov 29, 2016

Basics of NMR Spectroscopy. Mark Maciejewski Nov 29, 2016 Basics of NMR Spectroscopy Mark Maciejewski markm@uchc.edu Nov 29, 2016 What is Spectroscopy? Spectroscopy is the study of the interaction of electromagnetic radiation (light) with matter. NMR uses electromagnetic

More information

Nuclear Magnetic Resonance (NMR) Spectroscopy Introduction:

Nuclear Magnetic Resonance (NMR) Spectroscopy Introduction: Nuclear Magnetic Resonance (NMR) Spectroscopy Introduction: Nuclear magnetic resonance spectroscopy (NMR) is the most powerful tool available for organic structure determination. Like IR spectroscopy,

More information

Fundamental MRI Principles Module 2 N. Nuclear Magnetic Resonance. X-ray. MRI Hydrogen Protons. Page 1. Electrons

Fundamental MRI Principles Module 2 N. Nuclear Magnetic Resonance. X-ray. MRI Hydrogen Protons. Page 1. Electrons Fundamental MRI Principles Module 2 N S 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons positively charged neutrons no significant charge electrons negatively charged Protons

More information

Biochemistry 530 NMR Theory and Practice

Biochemistry 530 NMR Theory and Practice Biochemistry 530 NMR Theory and Practice David Baker Autumn Quarter 2014 Slides Courtesy of Gabriele Varani Recommended NMR Textbooks Derome, A. E. (1987) Modern NMR Techniques for Chemistry Research,

More information

Physical fundamentals of magnetic resonance imaging

Physical 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 information

Chapter 13: Nuclear Magnetic Resonance (NMR) Spectroscopy direct observation of the H s and C s of a molecules

Chapter 13: Nuclear Magnetic Resonance (NMR) Spectroscopy direct observation of the H s and C s of a molecules hapter 13: Nuclear Magnetic Resonance (NMR) Spectroscopy direct observation of the s and s of a molecules Nuclei are positively charged and spin on an axis; they create a tiny magnetic field + + Not all

More information

Biophysical Chemistry: NMR Spectroscopy

Biophysical Chemistry: NMR Spectroscopy Nuclear Magnetism Vrije Universiteit Brussel 21st October 2011 Outline 1 Overview and Context 2 3 Outline 1 Overview and Context 2 3 Context Proteins (and other biological macromolecules) Functional characterisation

More information

Nuclear Magnetic Resonance Imaging

Nuclear 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 information

NMR Spectroscopy Laboratory Experiment Introduction. 2. Theory

NMR Spectroscopy Laboratory Experiment Introduction. 2. Theory 1. Introduction 64-311 Laboratory Experiment 11 NMR Spectroscopy Nuclear Magnetic Resonance (NMR) spectroscopy is a powerful and theoretically complex analytical tool. This experiment will introduce to

More information

Nuclear Magnetic Resonance

Nuclear Magnetic Resonance Nuclear Magnetic Resonance PRINCIPLES OF NMR SPECTROSCOPY Contents Principles of nuclear magnetic resonance The nmr spectrometer Basic principles in nmr application NMR tools used to obtain information

More information

UNIT 12 NMR SPECTROSCOPY

UNIT 12 NMR SPECTROSCOPY UIT 12 MR SPECTROSCOPY MR Spectroscopy Structure 12.1 Introduction 12.2 Theory of MR Spectroscopy Types of uclei Magnetic Moment Quantisation Population of Energy Levels Larmor Precession Mechanism of

More information

BMB 601 MRI. Ari Borthakur, PhD. Assistant Professor, Department of Radiology Associate Director, Center for Magnetic Resonance & Optical Imaging

BMB 601 MRI. Ari Borthakur, PhD. Assistant Professor, Department of Radiology Associate Director, Center for Magnetic Resonance & Optical Imaging BMB 601 MRI Ari Borthakur, PhD Assistant Professor, Department of Radiology Associate Director, Center for Magnetic Resonance & Optical Imaging University of Pennsylvania School of Medicine A brief history

More information

(Refer Slide Time: 1:15)

(Refer Slide Time: 1:15) Principles and Applications of NMR spectroscopy Professor Hanudatta S. Atreya NMR Research Centre Indian Institute of Science Bangalore Module 1 Lecture No 01. Welcome every one. This is going to be a

More information

MR Fundamentals. 26 October Mitglied der Helmholtz-Gemeinschaft

MR 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 information

NUCLEAR MAGNETIC RESONANCE

NUCLEAR MAGNETIC RESONANCE uclear Magnetic Resonance CAPTER UCLEAR MAGETIC REOACE Properties of nucleus to give MR signal: All the nucleus their isotopes present in periodic table are not MR active. For a nucleus to be MR active

More information

NMR Spectroscopy. for 1 st B.Tech INTRODUCTION Lecture -1 Indian Institute of Technology, Dhanbad

NMR Spectroscopy. for 1 st B.Tech INTRODUCTION Lecture -1 Indian Institute of Technology, Dhanbad NMR Spectroscopy for 1 st B.Tech Lecture -1 Indian Institute of Technology, Dhanbad by Dr. R P John & Dr. C. Halder INTRODUCTION Nucleus of any atom has protons and neutrons Both Proton and Neutron has

More information

The Basics of Magnetic Resonance Imaging

The 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 information

Introduction to Biomedical Imaging

Introduction 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 information

Biophysical Chemistry: NMR Spectroscopy

Biophysical 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 information

Chapter 13: Molecular Spectroscopy

Chapter 13: Molecular Spectroscopy Chapter 13: Molecular Spectroscopy Electromagnetic Radiation E = hν h = Planck s Constant (6.63 x 10-34 J. s) ν = frequency (s -1 ) c = νλ λ = wavelength (nm) Energy is proportional to frequency Spectrum

More information

Linear and nonlinear spectroscopy

Linear 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 information

(n, l, m l ) 3/2/2016. Quantum Numbers (QN) Plots of Energy Level. Roadmap for Exploring Hydrogen Atom

(n, l, m l ) 3/2/2016. Quantum Numbers (QN) Plots of Energy Level. Roadmap for Exploring Hydrogen Atom PHYS 34 Modern Physics Atom III: Angular Momentum and Spin Roadmap for Exploring Hydrogen Atom Today Contents: a) Orbital Angular Momentum and Magnetic Dipole Moment b) Electric Dipole Moment c) Stern

More information

William H. Brown & Christopher S. Foote

William H. Brown & Christopher S. Foote Requests for permission to make copies of any part of the work should be mailed to:permissions Department, Harcourt Brace & Company, 6277 Sea Harbor Drive, Orlando, Florida 32887-6777 William H. Brown

More information

Lecture 2 nmr Spectroscopy

Lecture 2 nmr Spectroscopy Lecture 2 nmr Spectroscopy Pages 427 430 and Chapter 13 Molecular Spectroscopy Molecular spectroscopy: the study of the frequencies of electromagnetic radiation that are absorbed or emitted by substances

More information

With that first concept in mind, it is seen that a spinning nucleus creates a magnetic field, like a bar magnet

With that first concept in mind, it is seen that a spinning nucleus creates a magnetic field, like a bar magnet NMR SPECTROSCOPY This section will discuss the basics of NMR (nuclear magnetic resonance) spectroscopy. Most of the section will discuss mainly 1H or proton spectroscopy but the most popular nuclei in

More information

I690/B680 Structural Bioinformatics Spring Protein Structure Determination by NMR Spectroscopy

I690/B680 Structural Bioinformatics Spring Protein Structure Determination by NMR Spectroscopy I690/B680 Structural Bioinformatics Spring 2006 Protein Structure Determination by NMR Spectroscopy Suggested Reading (1) Van Holde, Johnson, Ho. Principles of Physical Biochemistry, 2 nd Ed., Prentice

More information

Basic p rinciples COPYRIGHTED MATERIAL. Introduction. Atomic s tructure

Basic 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 information

Magnetic 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 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 information

Spectral Broadening Mechanisms

Spectral 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 information

Nuclear magnetic resonance spectroscopy

Nuclear magnetic resonance spectroscopy nuclear spin transitions O Nuclear magnetic resonance spectroscopy 1 H, 13 C, 2-dimensional which transitions? wavelength and intensity; ppm what happens if we change the environment of the nucleus? substituent

More information

NUCLEAR MAGNETIC RESONANCE. The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei.

NUCLEAR MAGNETIC RESONANCE. The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei. 14 Sep 11 NMR.1 NUCLEAR MAGNETIC RESONANCE The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei. Theory: In addition to its well-known properties of mass, charge,

More information

e 2m p c I, (22.1) = g N β p I(I +1), (22.2) = erg/gauss. (22.3)

e 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 information

Spectral Broadening Mechanisms. Broadening mechanisms. Lineshape functions. Spectral lifetime broadening

Spectral 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 information

L z L L. Think of it as also affecting the angle

L z L L. Think of it as also affecting the angle Quantum Mechanics and Atomic Physics Lecture 19: Quantized Angular Momentum and Electron Spin http://www.physics.rutgers.edu/ugrad/361 h / d/361 Prof. Sean Oh Last time Raising/Lowering angular momentum

More information

Introduction to Nuclear Magnetic Resonance Spectroscopy

Introduction to Nuclear Magnetic Resonance Spectroscopy Introduction to Nuclear Magnetic Resonance Spectroscopy Dr. Dean L. Olson, NMR Lab Director School of Chemical Sciences University of Illinois Called figures, equations, and tables are from Principles

More information

MOLECULAR SPECTROSCOPY AND PHOTOCHEMISTRY

MOLECULAR SPECTROSCOPY AND PHOTOCHEMISTRY 20 CHAPTER MOLECULAR SPECTROSCOPY AND PHOTOCHEMISTRY 20.1 Introduction to Molecular Spectroscopy 20.2 Experimental Methods in Molecular Spectroscopy 20.3 Rotational and Vibrational Spectroscopy 20.4 Nuclear

More information

16.1 Introduction to NMR Spectroscopy. Spectroscopy. Spectroscopy. Spectroscopy. Spectroscopy. Spectroscopy 4/11/2013

16.1 Introduction to NMR Spectroscopy. Spectroscopy. Spectroscopy. Spectroscopy. Spectroscopy. Spectroscopy 4/11/2013 What is spectroscopy? NUCLEAR MAGNETIC RESONANCE (NMR) spectroscopy may be the most powerful method of gaining structural information about organic compounds. NMR involves an interaction between electromagnetic

More information

Nuclear Magnetic Resonance Spectroscopy

Nuclear Magnetic Resonance Spectroscopy Nuclear Magnetic Resonance Spectroscopy Ecole Polytechnique Département de Chimie CHI 551 Dr. Grégory Nocton Bureau 01 30 11 A Tel: 44 02 Ecole polytechnique / CNRS Laboratoire de Chimie Moléculaire E-mail:

More information

Solid state and advanced NMR

Solid state and advanced NMR Solid state and advanced NMR Dr. Magnus Wolf-Watz Department of Chemistry Umeå University magnus.wolf-watz@chem.umu.se NMR is useful for many things!!! Chemistry Structure of small molecules, chemical

More information

1. neopentyl benzene. 4 of 6

1. neopentyl benzene. 4 of 6 I. 1 H NMR spectroscopy A. Theory 1. The protons and neutrons in atomic nuclei spin, as does the nucleus itself 2. The circulation of nuclear charge can generate a nuclear magnetic moment, u, along the

More information

January 29, 2019 Chemistry 328N

January 29, 2019 Chemistry 328N Lecture 3 NMR Spectroscopy January 29, 2019 Molecular Spectroscopy Molecular spectroscopy: the study of the frequencies of electromagnetic radiation that are absorbed or emitted by substances and the correlation

More information

The Nuclear Emphasis

The Nuclear Emphasis The Nuclear Emphasis Atoms are composed of electrons and nuclei we ll focus almost exclusively on the physical properties of the nucleus and the chemicoelectronic attributes of its environment. The nucleus

More information

Homework Problem Set 10 Iverson CH320M/CH328M Due Monday, December 10

Homework Problem Set 10 Iverson CH320M/CH328M Due Monday, December 10 omework Problem Set 0 Iverson 30M/38M ue Monday, ecember 0 NME (Print): SIGNTURE: hemistry 30M/38M r. rent Iverson 0th omework ecember 3, 08 Please print the first three letters of your last name in the

More information

NMR in Medicine and Biology

NMR in Medicine and Biology NMR in Medicine and Biology http://en.wikipedia.org/wiki/nmr_spectroscopy MRI- Magnetic Resonance Imaging (water) In-vivo spectroscopy (metabolites) Solid-state t NMR (large structures) t Solution NMR

More information

Principles of Magnetic Resonance Imaging

Principles 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 information

Topics. Spin. The concept of spin Precession of magnetic spin Relaxation Bloch Equation

Topics. 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 information

Physics 221A Fall 1996 Notes 13 Spins in Magnetic Fields

Physics 221A Fall 1996 Notes 13 Spins in Magnetic Fields Physics 221A Fall 1996 Notes 13 Spins in Magnetic Fields A nice illustration of rotation operator methods which is also important physically is the problem of spins in magnetic fields. The earliest experiments

More information

Nuclei, Excitation, Relaxation

Nuclei, Excitation, Relaxation Outline 4.1 Principles of MRI uclei, Excitation, Relaxation Carolyn Kaut Roth, RT (R)(MR)(CT)(M)(CV) FSMRT CEO Imaging Education Associates www.imaginged.com candi@imaginged.com What nuclei are MR active?

More information

Optical Pumping in 85 Rb and 87 Rb

Optical Pumping in 85 Rb and 87 Rb Optical Pumping in 85 Rb and 87 Rb John Prior III*, Quinn Pratt, Brennan Campbell, Kjell Hiniker University of San Diego, Department of Physics (Dated: December 14, 2015) Our experiment aimed to determine

More information

Lecture #6 (The NOE)

Lecture #6 (The NOE) Lecture #6 (The OE) 2/24/17 Clubb Determining Protein tructures by MR: Measure thousands of shorter inter-hydrogen atom distances. Use these to restrain the structure of protein computationally. Distances

More information

NMR Nuclear Magnetic Resonance Spectroscopy p. 83. a hydrogen nucleus (a proton) has a charge, spread over the surface

NMR Nuclear Magnetic Resonance Spectroscopy p. 83. a hydrogen nucleus (a proton) has a charge, spread over the surface NMR Nuclear Magnetic Resonance Spectroscopy p. 83 a hydrogen nucleus (a proton) has a charge, spread over the surface a spinning charge produces a magnetic moment (a vector = direction + magnitude) along

More information

Introduction to biomolecular NMR spectroscopy

Introduction to biomolecular NMR spectroscopy Oct 2002 Introduction to biomolecular NMR spectroscopy Michael Sattler, Structural & Computational Biology EMBL Heidelberg Contents Introduction...2 History... 3 Methodological developments for structure

More information

Chapter 13 Spectroscopy

Chapter 13 Spectroscopy hapter 13 Spectroscopy Infrared spectroscopy Ultraviolet-Visible spectroscopy Nuclear magnetic resonance spectroscopy Mass Spectrometry 13.1 Principles of Molecular Spectroscopy: Electromagnetic Radiation

More information

Nuclear Magnetic Resonance (NMR)

Nuclear Magnetic Resonance (NMR) Nuclear Magnetic Resonance (NMR) Nuclear Magnetic Resonance (NMR) The Nuclear Magnetic Resonance Spectroscopy (NMR) is one of the most important spectroscopic methods to explore the structure and dynamic

More information

Classical behavior of magnetic dipole vector. P. J. Grandinetti

Classical behavior of magnetic dipole vector. P. J. Grandinetti Classical behavior of magnetic dipole vector Z μ Y X Z μ Y X Quantum behavior of magnetic dipole vector Random sample of spin 1/2 nuclei measure μ z μ z = + γ h/2 group μ z = γ h/2 group Quantum behavior

More information

III.4 Nuclear Magnetic Resonance

III.4 Nuclear Magnetic Resonance III.4 Nuclear Magnetic Resonance Radiofrequency (rf) spectroscopy on nuclear spin states in a uniaxial constant magnetic field B = B 0 z (III.4.1) B 0 is on the order of 1-25 T The rf frequencies vary

More information

NMR, the vector model and the relaxation

NMR, 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 information

1 Magnetism, Curie s Law and the Bloch Equations

1 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 information

Magnetic Resonance Spectroscopy ( )

Magnetic Resonance Spectroscopy ( ) Magnetic Resonance Spectroscopy In our discussion of spectroscopy, we have shown that absorption of E.M. radiation occurs on resonance: When the frequency of applied E.M. field matches the energy splitting

More information

Magnetic Resonance Imaging (MRI)

Magnetic 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 information

PRACTICAL ASPECTS OF NMR RELAXATION STUDIES OF BIOMOLECULAR DYNAMICS

PRACTICAL 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 information

SSSC Discovery Series NMR2 Multidimensional NMR Spectroscopy

SSSC Discovery Series NMR2 Multidimensional NMR Spectroscopy SSSC Discovery Series NMR2 Multidimensional NMR Spectroscopy Topics: 1. Some Common Experiments 2. Anatomy of a 2D experiment 3. 3D NMR spectroscopy no quantum mechanics! Some Common 2D Experiments Very

More information

Lecture 19: Building Atoms and Molecules

Lecture 19: Building Atoms and Molecules Lecture 19: Building Atoms and Molecules +e r n = 3 n = 2 n = 1 +e +e r y even Lecture 19, p 1 Today Nuclear Magnetic Resonance Using RF photons to drive transitions between nuclear spin orientations in

More information

Superoperators for NMR Quantum Information Processing. Osama Usman June 15, 2012

Superoperators for NMR Quantum Information Processing. Osama Usman June 15, 2012 Superoperators for NMR Quantum Information Processing Osama Usman June 15, 2012 Outline 1 Prerequisites 2 Relaxation and spin Echo 3 Spherical Tensor Operators 4 Superoperators 5 My research work 6 References.

More information