## High resolution nuclear magnetic resonance spectroscopy. 2 |

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Page 104

The mutual interaction energy of a nuclear magnetic dipole with an electron

dipole (*k is „ fN'f* , 3(fiN r.N)(fit r,N) £*n = 5 — + 5 • (3.200) Substituting y h IN for

ftN and 2/J ft St for pk gives the

(3 ...

The mutual interaction energy of a nuclear magnetic dipole with an electron

dipole (*k is „ fN'f* , 3(fiN r.N)(fit r,N) £*n = 5 — + 5 • (3.200) Substituting y h IN for

ftN and 2/J ft St for pk gives the

**Hamiltonian**as ^ = 2/? A I yN P^ ^nHIn O _ S*_In |(3 ...

Page 305

The

) t <j The operator A contributes only to the diagonal elements of the

matrix, whereas B contributes to both diagonal and off-diagonal elements.

The

**Hamiltonian**may be written as # = A + B (8.76) where A = £ vtIzt (8.77) i (8-78) t <j The operator A contributes only to the diagonal elements of the

**Hamiltonian**matrix, whereas B contributes to both diagonal and off-diagonal elements.

Page 321

There is no need to consider the coupling constant between the two equivalent B

nuclei, JBib,, since this will have no effect on the spectrum (see Section 8.12).

The complete

...

There is no need to consider the coupling constant between the two equivalent B

nuclei, JBib,, since this will have no effect on the spectrum (see Section 8.12).

The complete

**Hamiltonian**for this system is hs) + Ab(^iBi + ^2B^ + "^B, B, ABl ^B,...

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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