Susceptibility is a measure of the extent to which a substance becomes magnetized when it is placed in an external magnetic field. A synonym for susceptibility is "magnetizability".
When matter interacts with the magnetic field, an internal magnetization or polarization (J) is created that either opposes or augments the external field. J is a quantum phenomenon caused primarily by interaction of electrons with the external magnetic field.
If the polarization opposes the applied field, the effective field within the object is reduced, the lines are dispersed, and the effect is known as diamagnetism. If the polarization is in the same direction as the external field, the magnetic lines are concentrated within the object, resulting in paramagnetism, superparamagnetism, or ferromagnetism, depending on the degree of augmentation.
Magnetic susceptibility, is denoted by the Greek letter chi (χ), is defined as the magnitude of the internal polarization (J) divided by the strength of the external field (B):
When matter interacts with the magnetic field, an internal magnetization or polarization (J) is created that either opposes or augments the external field. J is a quantum phenomenon caused primarily by interaction of electrons with the external magnetic field.
If the polarization opposes the applied field, the effective field within the object is reduced, the lines are dispersed, and the effect is known as diamagnetism. If the polarization is in the same direction as the external field, the magnetic lines are concentrated within the object, resulting in paramagnetism, superparamagnetism, or ferromagnetism, depending on the degree of augmentation.
Magnetic susceptibility, is denoted by the Greek letter chi (χ), is defined as the magnitude of the internal polarization (J) divided by the strength of the external field (B):
χ = J / Bo
Since it is the ratio of two magnetic fields, susceptibility is a dimensionless number. Diamagnetic substances have negative susceptibilities (χ < 0); paramagnetic, superparamagnetic, and ferromagnetic substances have positive susceptibilities (χ > 0).
Nearly all biological tissues are weakly diamagnetic. However, some tissues contain focal accumulations of metals such as iron, gadolinium, copper, or manganese that concentrate the magnetic field and are therefore paramagnetic. A few tissues also contain chunky iron-based protein conglomerates (ferritin and hemosiderin) that are superparmagnetic.
Susceptibility-weighted imaging (SWI) allows detection and characterization of tissue components based on differences in their susceptibilities. How this is accomplished forms the subject of the next several Q&A's.
Nearly all biological tissues are weakly diamagnetic. However, some tissues contain focal accumulations of metals such as iron, gadolinium, copper, or manganese that concentrate the magnetic field and are therefore paramagnetic. A few tissues also contain chunky iron-based protein conglomerates (ferritin and hemosiderin) that are superparmagnetic.
Susceptibility-weighted imaging (SWI) allows detection and characterization of tissue components based on differences in their susceptibilities. How this is accomplished forms the subject of the next several Q&A's.
Advanced Discussion (show/hide)»
A property closely related to magnetic susceptibility (χ) is magnetic permeability, denoted by the symbol mu (µ). The relationship is straightforward: µ = χ + 1
For superparamagnetic and ferromagnetic materials (where the value of χ is on the order of hundreds or thousands) the small +1 factor is of no importance and µ ≈ χ. Hence many traditional physics textbooks tend to focus on permeability rather than susceptibility, especially when discussing strongly magnetic materials.
However, most biological material are weakly diamagnetic and have values of χ on the order of −5.0 × 10−6. For such small values of χ the +1 term cannot be disregarded, µ and χ are no longer approximately equal, with µ in the range of 0.999995. To require this many decimal places to express permeability is inconvenient for this range of values. So, by convention, susceptibilities instead of permeabilities are typically used in discussions of biological tissues where χ is very small.
For superparamagnetic and ferromagnetic materials (where the value of χ is on the order of hundreds or thousands) the small +1 factor is of no importance and µ ≈ χ. Hence many traditional physics textbooks tend to focus on permeability rather than susceptibility, especially when discussing strongly magnetic materials.
However, most biological material are weakly diamagnetic and have values of χ on the order of −5.0 × 10−6. For such small values of χ the +1 term cannot be disregarded, µ and χ are no longer approximately equal, with µ in the range of 0.999995. To require this many decimal places to express permeability is inconvenient for this range of values. So, by convention, susceptibilities instead of permeabilities are typically used in discussions of biological tissues where χ is very small.
For even more discussion of the basic science mechanisms underlying susceptibility click on the button below. You will be taken to a secret advanced page with some cool videos!
References
Magnetic susceptibility of the elements and inorganic compounds. (Table from the Fermi National Accelerator Laboratory. Note these are molar susceptibilities given in the CGS-system units.)
Schenck JF. The role of magnetic susceptibility in magnetic resonance imaging: MRI magnetic compatibility of the first and second kinds. Med Phys 1996;23:815-850. (Slightly dated, but an excellent and enduring explanation of susceptibility from a pioneer in MRI and first inductee in GE's Genius Hall of Fame).
"Magnetic Susceptibility." Wikipedia, The Free Encyclopedia.
Magnetic susceptibility of the elements and inorganic compounds. (Table from the Fermi National Accelerator Laboratory. Note these are molar susceptibilities given in the CGS-system units.)
Schenck JF. The role of magnetic susceptibility in magnetic resonance imaging: MRI magnetic compatibility of the first and second kinds. Med Phys 1996;23:815-850. (Slightly dated, but an excellent and enduring explanation of susceptibility from a pioneer in MRI and first inductee in GE's Genius Hall of Fame).
"Magnetic Susceptibility." Wikipedia, The Free Encyclopedia.
Related Questions
What causes susceptibility?
I saw on the internet a video of a frog floating in a magnet. How does that happen? Did the frog become magnetized?
What causes susceptibility?
I saw on the internet a video of a frog floating in a magnet. How does that happen? Did the frog become magnetized?
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