Magnetogyric constant

If the ratio of the magnetogyric constants 7f/7h s 0.4913, calculate the distance which would separate the TMS signal from that originating from an atom of fluorine, given that the scale upon the spectrum is represented by 1 ppm = 2 cm. (The apparatus is a 200 MHz spectrometer.)... 

As well as having a nuclear spin I = j tritium has a high nuclear magnetic moment which is responsible for the magnetogyric constant being larger than for any other nucleus, as also is its sensitivity to NMR detection, 21% higher than that for At 11.7 T,... 

Like the proton, H, the isotopic nucleus %—the triton— has a spin 1 = 1/2. As the triton has an even higher magnetic moment iJ j and therefore a higher magnetogyric constant Y r/2Tr... 

Because J arises from the magnetic interactions of nuclei, the simplest factor affecting it is the product yjY of the two nuclear magnetogyric ratios involved. For example, in FI F is 82 FIz, i.e. x yo/yf - This totally predictable factor is sometimes discounted by quoting the reduced coupling constant =... 

The equation describes the manner in which the nuclear magnetization, M, at position r and time t processes about the magnetic flux density, B, in which it is found. The constant y is the magnetogyric ratio of the nuclides under study. The precessional frequency, co, is given by the Lannor equation. 

The angular momentum L has associated with it a magnetic moment /z. Both are vector quantities and they are proportional to each other. The proportionality factor y is a constant for each nuclide (i.e. each isotope of each element) and is called the gyromagnetic ratio, or sometimes the magnetogyric ratio. The detection sensitivity of a nuclide in the NMR experiment depends on y nuclides with a large value of y are said to be sensitive (i.e. easy to observe), while those with a small y are said to be insensitive. 

The magnetogyric ratio 7 is a constant for a given nucleus. When a nucleus is subjected to a magnetic field H(), the energy of the nuclear spin system is... 

All terms contributing to either JM N or Jm,n are proportional to the magnetogyric ratio of both coupled nuclei, M and N. Since this is a nuclear property not associated with the molecular electronic structure, the reduced coupling constants, Km,n or Km,n are often quoted instead of Jm,n or Jm,n, respectively. They are related by... 

Here, h denotes Planck s constant h divided by 27i, and /zq is the permeability of vacuum. I and 5 are the nuclear spins of the resonating spins I and non-resonating spins S, respectively. Ni and Ns denote the numbers of resonating and nonresonating nuclei in the sample, respectively ys the magnetogyric ratio of the nonresonating spins S, and and ryj- the internuclear distances. 

The Curie constant C can be considered a magnetic parameter (MP) associated with the sample. Theory, however, tells us that such a phenomenological parameter could be made of fundamental physical constants and the magnetogyric-ratio parameter g in the following way ... 

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