## High resolution nuclear magnetic resonance spectroscopy. 2 |

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Page 121

The first term in equation (4.1), the diamagnetic term can be calculated from a

knowledge of the ground state wavefunction of the electrons. Newell used a

wavefunction of Nordsieck(7) and obtained = 3-21 x 10" 5,

of aH2 ...

The first term in equation (4.1), the diamagnetic term can be calculated from a

knowledge of the ground state wavefunction of the electrons. Newell used a

wavefunction of Nordsieck(7) and obtained = 3-21 x 10" 5,

**hence**the total valueof aH2 ...

Page 440

The integral j Sld (v) d v is simply the sum of all the line intensities,

= £ A. exp (/ va 0/£ Aa. (8.260) The lines at r„ and — va have the same intensity,

The integral j Sld (v) d v is simply the sum of all the line intensities,

**hence**-°° K(t)= £ A. exp (/ va 0/£ Aa. (8.260) The lines at r„ and — va have the same intensity,

**hence**equation (8.260) may be simplified by writing A, exp (/ v, t) + Ax exp (- i v, ...Page 442

2 = -^-Tr(lxexp (/*, t) Ix exp(- l*x f)) thus K(t)2 = ^(0i- If two systems can be

described by the same correlation function they must have identical spectra.

**hence**substituting equations (8.271) and (8.272) into equation (8.270) gives K(t)2 = -^-Tr(lxexp (/*, t) Ix exp(- l*x f)) thus K(t)2 = ^(0i- If two systems can be

described by the same correlation function they must have identical spectra.

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### Contents

Introduction | 1 |

J Chem Phys 3 4 3 5 3 6 4 2 4 3 5 2 6 14 7 1 7 2 7 7 8 3 8 19 8 22 8 26 8 | 3 |

General Theory of Nuclear Magnetic Resonance | 10 |

Copyright | |

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AA'BB absorption bands applied atomic orbitals benzene calculated carbon Chem chemical shift chemical shift difference components compounds coupling constants cycles sec-1 diamagnetic dipole effect eigenfunctions eigenvalues electron energy levels exchange experimental fluorine given gives Gutowsky H resonance Hamiltonian hence hydrogen atoms hydrogen bonding hydrogen nuclei hydrogen resonance interaction line width linear liquid magnetic field magnetic nuclei magnetically equivalent magnitude matrix elements Mc sec-1 measured methane method methyl molecular orbital molecule multiplet non-equivalent nuclear magnetic resonance observed obtained oscillator paramagnetic parameters Phys Pople radiofrequency radiofrequency field receiver coil reference relative intensities relative signs relaxation resonance spectrum ring current rotation sample sec1 Section secular equation shielding coefficient shielding constant shown in Fig sideband signal solution solvent spectra spectrometer spin functions spin system spin-lattice relaxation substituted susceptibility symmetry Table temperature tion transition energies valence bond values vector wavefunctions zero