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Long-lived nuclear spin order : theory and applications /

A long-lived form of spin order, namely singlet order, can be prepared from nuclear spin magnetisation and this first book on the subject gives a thorough description of the various aspects that interfere in the development of the topic and details the interdisciplinary applications.

Bibliographic Details
Other Authors: Pileio, Giuseppe (Editor)
Format: eBook
Language:English
Published: Cambridge, UK : Royal Society of Chemistry, [2020]
Series:New developments in NMR ; no. 22.
Subjects:
Nuclear magnetic resonance.
Nuclear physics.
Nuclear spin.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Intro
  • Title
  • Copyright
  • Preface
  • Contents
  • Part 1
  • Singlet Order and Its Properties
  • Chapter 1 Long-lived States in Nuclear Magnetic Resonance: An Overview
  • 1.1 Introduction
  • 1.2 What Are Long-lived States?
  • 1.2.1 Disconnected Eigenstates
  • 1.2.2 Disconnected State Manifolds
  • 1.3 Symmetry Theory of Long-lived States
  • 1.3.1 The Coherent Hamiltonian and Its Symmetry
  • 1.3.2 The Fluctuating Hamiltonian and Its Symmetry
  • 1.3.3 The Symmetric Approximate Hamiltonian
  • 1.3.3.1 Symmetric Approximation of the Coherent Hamiltonian
  • 1.3.3.2 Symmetric Approximation of the Fluctuating Hamiltonian
  • 1.3.3.3 The Permutation Group of the Symmetric Approximate Hamiltonian
  • 1.3.4 The Number of Long-lived States
  • 1.3.5 Long-lived State Operators
  • 1.4 Long-lived State NMR
  • 1.4.1 Excitation
  • 1.4.1.1 Thermal Magnetization
  • 1.4.1.2 Hyperpolarization
  • 1.4.1.3 Spin-isomer Imbalances
  • 1.4.2 Filtering
  • 1.4.3 Evolution
  • 1.4.4 Read-out
  • 1.4.5 Detection
  • Acknowledgements
  • References
  • Chapter 2 Symmetry and Long-lived Spin Order
  • 2.1 Introduction
  • 2.1.1 The Concept of Symmetry
  • 2.1.2 The Definition of Group
  • 2.1.3 The Group Formed by the Permutation of Three Elements
  • 2.1.4 Representation of Groups, Homomorphism and Isomorphism
  • 2.1.5 Reducible and Irreducible Representations
  • 2.1.6 The Vanishing Integral Rule
  • 2.2 Symmetry Conditions for the Existence of Long-lived Spin Orders
  • 2.2.1 Spin Eigenstates
  • 2.2.2 Spin Relaxation
  • 2.2.3 Symmetry Classification of Nuclear Spin Operators
  • 2.2.4 Spin System Definition
  • 2.2.5 Symmetry of the Nuclear Spin Hamiltonian
  • 2.2.5.1 Symmetry of the Coherent Hamiltonian
  • 2.2.5.2 Symmetry of the Fluctuating Hamiltonian
  • 2.2.5.3 Hamiltonian Averaging over Internal Motions
  • 2.3 Number of Expected Long-lived Orders
  • 2.3.1 Approximations
  • 2.3.2 Number of LLS and Analytical Expression in the Idealized Case
  • 2.3.3 Example for a Two-spin System
  • 2.3.4 Example for a Three-spin System
  • 2.4 LLS Accessibility via Coherent/Incoherent Mechanisms
  • 2.4.1 Example 1
  • 2.4.2 Example 2
  • 2.4.3 Example 3
  • 2.4.4 Example 4
  • 2.5 Conclusions
  • References
  • Chapter 3 Relaxation Theory of Long-lived Spin Order
  • 3.1 Introduction
  • 3.2 Longitudinal and Singlet Order
  • 3.3 A Model for Nuclear Spin Relaxation
  • 3.4 Relaxation Decay Rates
  • 3.5 Relaxation of Longitudinal and Singlet Order Under Different Mechanisms
  • 3.5.1 Isolated Singlet Pairs
  • 3.5.1.1 Intra-pair Dipole-Dipole (ipDD) Mechanism
  • 3.5.1.2 Symmetric Chemical Shift Anisotropy (CSA+) Mechanism
  • 3.5.1.3 Anti-symmetric Chemical Shift (CSA) Mechanism
  • 3.5.1.4 Spin Rotation (SR) Mechanism
  • 3.5.2 Singlet Pairs in the Presence of a 3rd Spin
  • 3.5.2.1 Out-of-pair Dipole-Dipole Mechanism (opDD)
  • 3.5.2.2 Inter-molecular Dipole-Dipole (imDD) Mechanism
  • 3.5.2.3 Scalar-coupling of the 2nd Kind (JSK) Mechanism