8.2 NMR

One wonders if both Felix Purcell (1912-1997) and Edward Bloch (1905-1983) had experimented with magnets (see above) when they were little. They did, however, share the Nobel Prize in Physics in 1952 for independently creating experiments for the observation of NMR (nuclear magnetic resonance).

The growth of NMR research especially in the past two decades is nothing short of spectacular. It is a field driven entirely by the magnetic field strength (B₀) which determines the operational frequency or Lamor frequency (_ω0) of the NMR nuclei. The equation central to NMR research is this:

ω₀ = γB₀

γ is of course the immutable gyromagnetic ratio (or magnetogyro ratio - depending on whether you are a physicist or a chemist) unique to each NMR nucleus. The table below is a quick glance of the Larmor Frequency at a field strength of 1 Tesla (last column on the right):

Particle	Spin	wLarmor/B s-1T-1	n/B
Electron	1/2	1.7608 x 1011	28.025 GHz/T
Proton	1/2	2.6753 x 108	42.5781 MHz/T
Deuteron	1	0.4107 x 108	6.5357 MHz/T
Neutron	1/2	1.8326 x 108	29.1667 MHz/T
23Na	3/2	0.7076 x 108	11.2618 MHz/T
31P	1/2	1.0829 x 108	17.2349 MHz/T
14N	1	0.1935 x 108	3.08 MHz/T
13C	1/2	0.6729 x 108	10.71 MHz/T
19F	1/2	2.518 x 108	40.08 MHz/T

(Note: the study of electron spin is ESR - Electron Spin Resonance or now known as EPR - Electron Paramagnetic Resonance - an entirely different ballgame from NMR)

In the old days, field strength was represented by proton frequency. For example: what was a 400MHz (or megacycle) magnet is now known as a (400/42.5781=)9.4 Tesla magnet. Because of the notoriously low sensitivity of NMR nuclei, much improvement in signal generation relies on increasing the magnetic field strength. The higher the field strength, the more the signal intensity (or higher signal-to-noise ratio). For example, for proton, an increase from 300 to 400MHz yields an improvement in S/N of (400/300)² = 1.78 fold. Building ultra-high-field magnets is a competitive sport for the manufacturers of course.

What are these NMR nuclei? Well, any nucleus with an odd number of protons or neutrons (or combination) qualifies; for example, biologically relevant nuclei include ¹³C, ³¹P, ¹H (proton), ²³Na, ¹⁷O, ¹⁵N, ¹⁹F, and deuterium (a nucleus with spin number I=1). Of these, ³¹P and ²³Na are both 100%, and ¹H 99.98% naturally abundant. The others are only a fraction of around 1% or less and are usually used as labels; for example, ¹³C can be labeled at either C-1 or C-6 position of glucose and the glycolytic products can thus be traced. On the other hand, proton is part of the ubiquitous water molecule, and ³¹P that of ATP and other organophosphates.

All these nuclei when placed in a magnetic field will precess at certain ω₀: depending on the γ of each nucleus, as mentioned above:

(From: teaching.shu.ac.uk/hwb/chemistry/tutorials/molspec/nmr1.htm)

If a radiofrequency (rf) perpendicular to the north-south direction, or conventionally, the z-axis of the magnetic field is applied at the frequency of a nucleus of interest, then this nucleus will be tipped into the x-y plane. When the rf is turned off, the nucleus will begin to return to its original ground state through a process, known as relaxation. Relaxation is defined by longitudinal relaxation time (T1) and transverse relaxation time (T2). And the signals produced in the rf field are known as the FIDs (free induction decays) which can be picked up by an antenna and processed (through Fourier Transform from time into frequency domain) to generate NMR spectra.

(Note: No Bruker share-holders here)

The above is a typical high-field vertical-bore superconducting magnet used in NMR spectroscopy. It requires periodic feeding of liquid nitrogen and liquid helium. A probe is inserted from the bottom and the sample (in an NMR tube) loaded from the top, controlled by compressed air. A computer console is situated nearby for shimming, pulse sequence delivery, signal collection, spectral generation and printing.

An NMR probe is the heart of the spectrometer, it fits vertically into the bore of the magnet. They come in different bore sizes as well, e.g., 2, 5, 10, and 20mm diameters are common. These probes can be broadband or single frequency.

Before insertion, it needs to be optimized by using tuning and matching rods with the aid of an oscilloscope. Tuning is simply to make sure the probe is set to the frequency of interest. And matching is to ensure the impedance is equal to the external electronic circuitry so that maximal power can be transferred. These two operations are actually inter-related:

Shimming is an art, its purpose is to maximize the magnetic field homogeneity which greatly affects spectral resolution. Some "NMR jocks" are known to take extraordinarily long time (e.g., forever) to shim the magnet - to perfection. And a lot of them know how to read the FIDs even before FT. The resulting spectra are often strikingly well-resolved. NMR jocks are a special breed. Much like computer hackers, NMR jocks also survive on pizza and coke, except the food and drink are paid for with cash, as their credit cards are usually erased by the magnets. (Try and explain this to the pizzeria owners.)

Next, we will examine a few examples of NMR spectroscopy of ocular tissues - before entering the field of MRI (magnetic resonance imaging).

8.1 Brain is an extension of the eyes

(The visual pathway - looking from the base of the brain)

The visual pathway of course travels all the way from the eyes to the back of the brain (see above, in red). Anything untoward that occurs along the pathway will manifest as an ophthalmic problem. And in addition to the second cranial nerve, the extraocular muscles are innervated by the third, 4th and 6th cranial nerves. Plus, the pupillary responses are controlled by yet another set of nervous pathway. Neuro-ophthalmology is indeed a very interesting and challenging field. With very simple tools, such as a penlight, an occluder, a tangent screen and/or perimeter, definitive diagnosis often can be reached. With time, more tools become available. And brain imaging is now consisted of many modalities:

(From socialfiction.org)

These modalities include the old standby CT, the re-vamped PET, the anatomical MRI and the more powerful fMRI (f=functional), and a close relative of fMRI, the Optical Imaging of Intrinsic Signals (OIS). (Note: Cryo is imaging of frozen brain in slices, not for the living.)

Of these, we will go into more about MRI, in order to discuss important subjects such as "perivenous syndrome" and "brain plasticity". And to understand MRI, we will need to start from its humble beginning, NMR. Next post is therefore "8.2 NMR".