## High resolution nuclear magnetic resonance spectroscopy. 2 |

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Page 289

The elements $fmn are not unique since the wavefunction !P could be expanded

in terms of another complete orthonormal set <p'„ so that *~=j<p'S*<p'.**- (8-12)

However, the

The elements $fmn are not unique since the wavefunction !P could be expanded

in terms of another complete orthonormal set <p'„ so that *~=j<p'S*<p'.**- (8-12)

However, the

**eigenvalues**obtained from the secular equation are unique even ...Page 374

good values of the parameters involved by approximating the spectrum to an

ABX system, for which explicit expressions for the

these values, an approximate matrix can be constructed and its roots compared ...

good values of the parameters involved by approximating the spectrum to an

ABX system, for which explicit expressions for the

**eigenvalues**are known. Usingthese values, an approximate matrix can be constructed and its roots compared ...

Page 384

remaining

obtained by this procedure since the table of line frequencies can usually be set

up in several different ways all of which satisfy rules 1, 2, 3 and 5. To apply the

rules ...

remaining

**eigenvalues**are deduced. Numerous sets of**eigenvalues**can beobtained by this procedure since the table of line frequencies can usually be set

up in several different ways all of which satisfy rules 1, 2, 3 and 5. To apply the

rules ...

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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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### Common terms and phrases

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