Hyperpolarization is the
nuclear spin polarization
Polarization or polarisation may refer to:
Mathematics
*Polarization of an Abelian variety, in the mathematics of complex manifolds
*Polarization of an algebraic form, a technique for expressing a homogeneous polynomial in a simpler fashion by ...
of a material in a magnetic field far beyond
thermal equilibrium
Two physical systems are in thermal equilibrium if there is no net flow of thermal energy between them when they are connected by a path permeable to heat. Thermal equilibrium obeys the zeroth law of thermodynamics. A system is said to be in ...
conditions determined by the
Boltzmann distribution. It can be applied to gases such as
129Xe and
3He, and small molecules where the polarization levels can be enhanced by a factor of 10
4-10
5 above thermal equilibrium levels. Hyperpolarized noble gases are typically used in
magnetic resonance imaging (MRI) of the lungs.
Hyperpolarized small molecules are typically used for ''in vivo'' metabolic imaging. For example, a hyperpolarized metabolite can be injected into animals or patients and the metabolic conversion can be tracked in real-time. Other applications include determining the function of the neutron spin-structures by scattering polarized electrons from a very polarized target (
3He), surface interaction studies, and neutron polarizing experiments.
Spin-exchange optical pumping
Introduction
Spin exchange optical pumping (SEOP)
is one of several hyperpolarization techniques discussed on this page. This technique specializes in creating hyperpolarized (HP) noble gases, such as
3He,
129Xe, and quadrupolar
131Xe,
83Kr, and
21Ne.
Noble gases are required because SEOP is performed in the gas phase, they are chemically inert, non-reactive, chemically stable with respect to alkali metals, and their T
1 is long enough to build up polarization. Spin 1/2 noble gases meet all these requirements, and spin 3/2 noble gases do to an extent, although some spin 3/2 do not have a sufficient T
1. Each of these noble gases has their own specific application, such as characterizing lung space and tissue via ''in vivo'' molecular imaging and functional imaging of lungs, to study changes in metabolism of healthy versus cancer cells,
or use as targets for nuclear physics experiments.
During this process,
circularly polarized infrared laser light, tuned to the appropriate wavelength, is used to excite electrons in an
alkali metal, such as
caesium
Caesium ( IUPAC spelling) (or cesium in American English) is a chemical element with the symbol Cs and atomic number 55. It is a soft, silvery-golden alkali metal with a melting point of , which makes it one of only five elemental metals that ...
or
rubidium
Rubidium is the chemical element with the symbol Rb and atomic number 37. It is a very soft, whitish-grey solid in the alkali metal group, similar to potassium and caesium. Rubidium is the first alkali metal in the group to have a density hig ...
inside a sealed glass vessel. Infrared light is necessary because it contains the wavelengths necessary to excite the alkali metal electrons, although the wavelength necessary to excite sodium electrons is below this region (Table 1).
The
angular momentum
In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical quantity because it is a conserved quantity—the total angular momentum of a closed sy ...
is transferred from the alkali metal electrons to the noble gas nuclei through collisions. Nitrogen is used as a quenching gas, which prevents the fluorescence of the polarized alkali metal, which would lead to de-polarization of the noble gas. If fluorescence was not quenched, the light emitted during relaxation would be randomly polarized, working against the circularly polarized laser light. While different sizes of glass vessels (also called cells), and therefore different pressures, are used depending on the application, one amagat of total pressure of noble gas and nitrogen is sufficient for SEOP and 0.1
amagat An amagat is a practical unit of volumetric number density. Although it can be applied to any substance at any conditions, it is defined as the number of ideal gas molecules per unit volume at 1 atm (101.325 kPa) and 0 °C (273.15&n ...
of nitrogen density is needed to quench fluorescence.
Great improvements in
129Xe hyperpolarization technology have achieved > 50% level at flow rates of 1–2 L/min, which enables human clinical applications.
History
The discovery of SEOP took decades for all the pieces to fall into place to create a complete technique. First, in 1897, Zeeman's studies of sodium vapor led to the first result of ''optical pumping''.
The next piece was found in 1950 when Kastler determined a method to electronically spin-polarize rubidium alkali metal vapor using an applied magnetic field and illuminating the vapor with resonant circularly polarized light.
Ten years later,
Marie-Anne Bouchiat
Marie-Anne Bouchiat-Guiochon (born 1934) is a French experimental atomic physicist whose research has included studies of neutral currents, parity violation, and hyperpolarization. She is an honorary director of research for the French Natio ...
, T. M. Carver, and C. M. Varnum performed ''spin exchange'', in which the electronic spin polarization was transferred to nuclear spins of a noble gas (
3He and
129Xe) through gas-phased collisions.
Since then, this method has been greatly improved and expanded to use with other noble gases and alkali metals.
Theory

To explain the processes of excitation, optical pumping, and spin exchange easier, the most common alkali metal used for this process, rubidium, will be used as an example. Rubidium has an odd number of electrons, with only one in the outermost shell that can be excited under the right conditions. There are two transitions that can occur, one referred to as the D
1 line where the transition occurs from the 5
2S
1/2 state to the 5
2P
3/2 state and another referred to the D
2 line where the transition occurs from the 5
2S
1/2 to the 5
2P
1/2 state.
The D
1 and D
2 transitions can occur if the rubidium atoms are illuminated with light at a wavelength of 794.7 nm and 780 nm, respectively (Figure 1).
While it is possible to cause either excitation, laser technology is well-developed for causing the D
1 transition to occur. Those lasers are said to be tuned to the D
1 wavelength (794.7 nm) of rubidium.

In order to increase the polarization level above thermal equilibrium, the populations of the spin states must be altered. In the absence of magnetic field, the two spin states of a spin I = ½ nuclei are in the same energy level, but in the presence of a magnetic field, the energy levels split into m
s = ±1/2 energy levels (Figure 2). Here, m
s is the spin angular momentum with possible values of +1/2 (spin up) or -1/2 (spin down), often drawn as vectors pointing up or down, respectively. The difference in population between these two energy levels is what produces an NMR signal. For example, the two electrons in the spin down state cancel two of the electrons in the spin up state, leaving only one spin up nucleus to be detected with NMR. However, the populations of these states can be altered via hyperpolarization, allowing the spin up energy level to be more populated and therefore increase the NMR signal. This is done by first optically pumping alkali metal, then transferring the polarization to a noble gas nucleus to increase the population of the spin up state.

The absorption of laser light by the alkali metal is the first process in SEOP.
Left-circularly polarized light tuned to the D
1 wavelength of the alkali metal excites the electrons from the spin down
2S
1/2 (m
s=-1/2) state into the spin up
2P
1/2 (m
s=+1/2) state, where collisional mixing then occurs as the noble gas atoms collide with the alkali metal atoms and the m
s=-1/2 state is partially populated (Figure 3).
Circularly polarized light is necessary at low magnetic fields because it allows only one type of angular momentum to be absorbed, allowing the spins to be polarized.
Relaxation then occurs from the excited states (m
s=±1/2) to the ground states (m
s=±1/2) as the atoms collide with nitrogen, thus quenching any chance of fluorescence and causing the electrons to return to the two ground states in equal populations.
Once the spins are depolarized (return to the m
s=-1/2 state), they are excited again by the continuous wave laser light and the process repeats itself. In this way, a larger population of electron spins in the m
s=+1/2 state accumulates. The polarization of the rubidium, P
Rb, can be calculated by using the formula below:
Where n
↑ and n
↓ and are the number of atoms in the spin up (m
S=+1/2) and spin down (m
S=-1/2)
2S
1/2 states.

Next, the optically pumped alkali metal collides with the noble gas, allowing for spin exchange to occur where the alkali metal electron polarization is transferred to the noble gas nuclei (Figure 4). There are two mechanisms in which this can occur. The angular momentum can be transferred via binary collisions (Figure 4A, also called two-body collisions) or while the noble gas, N
2 buffer gas, and vapor phase alkali metal are held in close proximity via van der Waals forces (Figure 4B, also called three body collisions).
In cases where van der Waals forces are very small compared to binary collisions (such is the case for
3He), the noble gas and alkali metal collide and polarization is transferred from the AM to the noble gas.
Binary collisions are also possible for
129Xe. At high pressures, van der Waals forces dominate, but at low pressures binary collisions dominate.
Build Up of Polarization
This cycle of excitation, polarization, depolarization, and re-polarization, etc. takes time before a net polarization is achieved. The buildup of nuclear polarization, P
N(t), is given by: