## High resolution nuclear magnetic resonance spectroscopy. 2 |

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Page 194

(5.60) Eliminating Ax, AY and Az from equation (5.60)

CH3X) + a* (CH3Y) + 4 (CH3Z) - 2a2H (CH4) (5.61) and re-arranging the above

equation

a* (CH3Z) - | a* (CH4)] (5.62) which, together with equation (5.48),

CHXYZ) = JTM + /ch + ^CH which is the relationship found empirically by

Malinowski(102) (see Section 12.2.13). From equations (5.48) and (5.61), Ax is

given by ...

(5.60) Eliminating Ax, AY and Az from equation (5.60)

**gives**a* (CHXYZ) = a2H (CH3X) + a* (CH3Y) + 4 (CH3Z) - 2a2H (CH4) (5.61) and re-arranging the above

equation

**gives**a2 (CHXYZ) = [<4(CH3X) -ja2 (CH4)] + [a2(CH3Y)-ja2H (CH4)] + [a* (CH3Z) - | a* (CH4)] (5.62) which, together with equation (5.48),

**gives**•Jch (CHXYZ) = JTM + /ch + ^CH which is the relationship found empirically by

Malinowski(102) (see Section 12.2.13). From equations (5.48) and (5.61), Ax is

given by ...

Page 273

A sample is chosen which

magnetic field increased until the resonance signal is observed at the centre of

the oscilloscope trace. By moving the sample horizontally across the pole faces it

is possible to plot the contours of the magnetic field by observing the direction in

which the signal moves on the oscilloscope screen. This experiment is repeated

for the vertical axis. The desired field shape is one giving field homogeneity over

the sample ...

A sample is chosen which

**gives**a strong sharp single line, and the mainmagnetic field increased until the resonance signal is observed at the centre of

the oscilloscope trace. By moving the sample horizontally across the pole faces it

is possible to plot the contours of the magnetic field by observing the direction in

which the signal moves on the oscilloscope screen. This experiment is repeated

for the vertical axis. The desired field shape is one giving field homogeneity over

the sample ...

Page 338

The secular determinant formed from the remaining Ay functions factorises into

four 2x2 determinants corresponding to m values of \, — J and— |; solution of the

resulting quadratic equations

8.19. Similarly, the By secular determinant factorises into two 2x2 determinants

corresponding to m = \ or — \. The twelve functions in the E representation would

seem to

corresponding ...

The secular determinant formed from the remaining Ay functions factorises into

four 2x2 determinants corresponding to m values of \, — J and— |; solution of the

resulting quadratic equations

**gives**the eigenvalues and functions listed in Table8.19. Similarly, the By secular determinant factorises into two 2x2 determinants

corresponding to m = \ or — \. The twelve functions in the E representation would

seem to

**give**rise to two 2x2 determinants and two 4x4 determinantscorresponding ...

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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