## High resolution nuclear magnetic resonance spectroscopy. 2 |

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Page 293

It is important to note that although the product functions are

they are not in general eigenfunc- tions of I2. The operators I2 and /, given by

equations (8.42) and (8.43) obey the same commutation rules as the operators

for ...

It is important to note that although the product functions are

**eigenfunctions**of lzthey are not in general eigenfunc- tions of I2. The operators I2 and /, given by

equations (8.42) and (8.43) obey the same commutation rules as the operators

for ...

Page 294

The

spin functions by solving the equation, (c.f. equation (8.10)), Z(4-lUC,-0 (8.50) n

where Cn are the coefficients in the expansion of the

linear ...

The

**eigenfunctions**of I2 can be obtained as linear combinations of the productspin functions by solving the equation, (c.f. equation (8.10)), Z(4-lUC,-0 (8.50) n

where Cn are the coefficients in the expansion of the

**eigenfunction**of I2 as alinear ...

Page 337

-2> □^1/2,1/2-^0,01 •^1/2,-1/2-^0,0 Table 8.19

of the AB4 System

QlYHQy Ai,^B2,2 - Aiti B2tl) (1 + Glr* (Ai.-i B2,y + Q2 Aiti B2.o) (1 + Qlr* (G2 ^i,-J ...

-2> □^1/2,1/2-^0,01 •^1/2,-1/2-^0,0 Table 8.19

**Eigenfunctions**and Eigenvaluesof the AB4 System

**Eigenfunction**Ai.i Bt.2 (1 + G?r* Mi.-i B2tl + Qy Ai,i B2|1) (1 +QlYHQy Ai,^B2,2 - Aiti B2tl) (1 + Glr* (Ai.-i B2,y + Q2 Aiti B2.o) (1 + Qlr* (G2 ^i,-J ...

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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