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121	Introduction and outline 55th Experimental Nuclear Magnetic Resonance Conference Boston, 2014 The Basic Building Blocks Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2014-03-25 14:42:09 Spectroscopy Quantum mechanics Wave mechanics Magnetic resonance imaging Two-dimensional nuclear magnetic resonance spectroscopy Relaxation Spin echo Spin Phase Physics Nuclear magnetic resonance Scientific method
122	Coherence selection: phase cycling and gradient pulses – problems and exercises The more difficult and challenging problems are marked with an asterisk, * 1. (a) Show, using vector diagrams like those of section 4.1.6, Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2001-02-01 13:56:09 Quantum mechanics Wave mechanics Cell cycle Two-dimensional nuclear magnetic resonance spectroscopy Relaxation Coherence S phase Cyclin Spin echo Physics Nuclear magnetic resonance Spectroscopy
123	4. Coherence Selection: Phase Cycling and Gradient Pulses 4.1 Introduction The pulse sequence used in an NMR experiment is carefully designed to produce a particular outcome. For example, we may wish to pass the spins Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2002-07-23 07:32:09 Spectroscopy Science Wave mechanics Two-dimensional nuclear magnetic resonance spectroscopy Phase Magnetic resonance imaging Complex number Three-phase Fourier transform Physics Nuclear magnetic resonance Mathematical analysis
124	Further relaxation 6.1 Introduction As presented so far, the theory is capable of predicting the rate of transitions between energy levels i.e. it is concerned with populations. The theory is thus perfectly acceptable fo Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2003-08-09 07:58:40 Philosophy of physics Theoretical physics Operator Superoperator Μ operator Density matrix Integral transform Itō diffusion Rotation operator Physics Quantum mechanics Operator theory
125	5. Relaxation Relaxation is the process by which the spins in the sample come to equilibrium with the surroundings. At a practical level, the rate of relaxation determines how fast an experiment can be repeated, so it is Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2003-08-09 07:17:10 Science Magnetic resonance imaging Relaxation Chemical equilibrium Magnetization Bloch equations Spin–lattice relaxation Chemistry Physics Nuclear magnetic resonance
126	3 Basic concepts for two-dimensional NMR ,QWURGXFWLRQ The basic ideas of two-dimensional NMR will be introduced by reference to the appearance of a COSY spectrum; later in this lecture the product operator formalism Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2001-02-01 13:56:09 Physics Scientific method Fourier analysis Magnetic resonance imaging Two-dimensional nuclear magnetic resonance spectroscopy Integral transforms Fourier transform Magnetization transfer Trigonometric functions Mathematical analysis Nuclear magnetic resonance Spectroscopy
127	8 Relaxation† Relaxation is the process by which the spins in the sample come to equilibrium with the surroundings. At a practical level, the rate of relaxation determines how fast an experiment can be repeated, so it Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2004-02-24 13:18:12 Scientific method Relaxation Science Spin–lattice relaxation Magnetization Magnetic ordering Physics Magnetic resonance imaging Nuclear magnetic resonance
128	4 Fourier transformation and data processing In the previous chapter we have seen how the precessing magnetization can Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2004-02-24 12:31:13 Mathematics Integral transforms Unitary operators Joseph Fourier Time series analysis Fourier transform Nuclear magnetic resonance Matched filter Free induction decay Mathematical analysis Fourier analysis Signal processing
129	4 Coherence Selection: Phase Cycling and Gradient Pulses ,QWURGXFWLRQ A multiple-pulse NMR experiment is designed to manipulate the spins in a certain carefully defined way so as to produce a particular spectrum. H Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2001-02-01 13:56:10 Quantum mechanics Magnetic resonance imaging Fourier transform Coherence Phase detector Phase Modulation Pulse sequence Gradient enhanced NMR spectroscopy Physics Nuclear magnetic resonance Wave mechanics
130	2 Product Operators The product operator formalism is a complete and rigorous quantum mechanical description of NMR experiments; the formalism is a version of density matrix theory and is well suited to calculating the o Add to Reading List Source URL: www-keeler.ch.cam.ac.uk Language: English - Date: 2001-02-01 13:56:10 Spin Angular momentum Nuclear magnetic resonance Rotation operator Pulsed EPR Physics Rotational symmetry Rotation

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