Despite being a special value of the Riemann zeta function, Ap�ry's constant arises naturally in a number of physical problems, including in the second-and third-order terms of the electron's gyromagnetic ratio, computed using quantum electrodynamics.
32.
Unlike NOE, no penalty is incurred by a negative gyromagnetic ratio in INEPT, it is therefore a useful method for enhancing the signal from nuclei with negative gyromagnetic ratio such as 15 N or 29 Si.
33.
Unlike NOE, no penalty is incurred by a negative gyromagnetic ratio in INEPT, it is therefore a useful method for enhancing the signal from nuclei with negative gyromagnetic ratio such as 15 N or 29 Si.
34.
Both " T " 1 and " T " 2 depend on the rate of molecular motions as well as the gyromagnetic ratios of both the resonating and their strongly interacting, next-neighbor nuclei that are not at resonance.
35.
Where g _ l = 1 and g _ s \ approx 2.0023192 ( the latter is called the anomalous gyromagnetic ratio; the deviation of the value from 2 is due to the effects of quantum electrodynamics ).
36.
These procedures rely on the fact that bulk magnetization due to nuclear spins precess in a magnetic field at a rate called the Larmor frequency, which is simply the product of the gyromagnetic ratio with the magnetic field strength.
37.
Equating the left and right hand sides, and noting that \ frac { 2 \ mu } { \ hbar } is the gyromagnetic ratio \ gamma, yields another form for the equations of motion of the Bloch vector
38.
Where is the actual strength of the magnet in units like gauss, and is the gyromagnetic ratio of the nucleus being tested which is in turn calculated from its magnetic moment and spin number with the nuclear magneton and the Planck constant:
39.
In 1975 Seiler he his doctorate in physics with the dissertation " Modulated dynamic nuclear polarization of the nuclei of smaller gyromagnetic ratios " at the Free University of Berlin and started his teaching profession for higher education ( mathematics and physics ) in the following year.
40.
The NMR absorption ( radio ) frequency for tritium is however slightly higher than that of 1 H because the tritium nucleus has a slightly higher gyromagnetic ratio than 1 H . In many other cases of " non-radioactive " nuclei, the overall spin is also non-zero.
