Electron Paramagnetic Resonance. NMR, MRI., Lecture notes of Medical Physics

The principles of Electron Paramagnetic Resonance (EPR) and the magnetic moments of nuclei. It describes the Zeeman Effect, transition between sublevels, and the energy condition for EPR. It also explains the parts of an EPR spectrometer, EPR spectra, and the applications of EPR. Additionally, the document discusses the magnetic moments of nuclei and their orientations in a magnetic field. useful for students studying physics, chemistry, or related fields.

Typology: Lecture notes

2020/2021

Available from 02/01/2022

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19. Electron paramagnetic Resonance: NMR, MRI.
* Zeeman Effect:
A static magnetic field spits the spectral lines into two or more
components. In the absence of an external magnetic field the
orientations of the magnetic moments of the electrons are random;
this state corresponds to energy Eo. The magnetic field aligns the
magnetic moments of the electrons either parallel to the field of
antiparallel to the field.
* Transition between sublevels: Most electrons are in the lower energy
state. Transitions to the upper energy state are possible when
electromagnetic quanta with appropriate energy are absorbed by the
electrons.
* Electron Paramagnetic Resonance: EPR/ESR
EPR is the selective absorption of electromagnetic waves by the
electrons of paramagnetic particles in a static magnetic field. The
resonant frequency is in the microwave region (about 10 GHz)
* Energy condition for EPR: The frequency νo of the electromagnetic
wave and the induction Bo of the external magnetic field must satisfy
the condition: hvo = gμB B0. For Maximum absorption the magnetic field
vector of the wave must be orthogonal to the external magnetic field.
* EPR Spectrometer Parts:
- Constant Magnet
- Microwave generator
- Waveguides and resonator
- Absorption detection and registration
- Sample
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19. Electron paramagnetic Resonance: NMR, MRI.

  • Zeeman Effect: A static magnetic field spits the spectral lines into two or more components. In the absence of an external magnetic field the orientations of the magnetic moments of the electrons are random; this state corresponds to energy Eo. The magnetic field aligns the magnetic moments of the electrons either parallel to the field of antiparallel to the field.
  • Transition between sublevels: Most electrons are in the lower energy state. Transitions to the upper energy state are possible when electromagnetic quanta with appropriate energy are absorbed by the electrons.
  • Electron Paramagnetic Resonance: EPR/ESR EPR is the selective absorption of electromagnetic waves by the electrons of paramagnetic particles in a static magnetic field. The resonant frequency is in the microwave region (about 10 GHz)
  • Energy condition for EPR: The frequency νo of the electromagnetic wave and the induction Bo of the external magnetic field must satisfy the condition: hvo = gμB B 0. For Maximum absorption the magnetic field vector of the wave must be orthogonal to the external magnetic field.
  • EPR Spectrometer Parts:
  • Constant Magnet
  • Microwave generator
  • Waveguides and resonator
  • Absorption detection and registration
  • Sample
  • EPR Spectra: The microwave power P transmitted through the sample versus the magnetic induction B of the static field.
  • EPR: Values of G Factor are used for studying the paramagnetic properties of the sample, structure of molecular bonds, electronic structure of the paramagnetic centres. *Applications:
  • Highly specific method for detection and investigation of free radicals and paramagnetic centres.
  • Investigation of metalloproteins
  • Investigation of Amino-acids exposed to X-rays
  • Spin labels (probes) for the investigation of non-paramagnetic molecules (in cell membranes)
  • Magnetic moments of nuclei:
  • Some atomic nuclei have non-zero magnetic moments – vector sums of the magnetic moments of the protons and neutrons.
  • The magnetic moments of protons and neutrons are dure to their spin
  • The negative sign shows that the magnetic moment is antiparallel to the spin of the neutron.
  • Nuclei in a magnetic field:
  • In the absence of magnetic field, the magnetic moments of the nuclei are randomly oriented. In an external magnetic field Bo, the magnetic moments of the nuclei can only have discreet orientations.
  • For the nucleus of hydrogen (a single proton) two orientations are allowed: parallel to the field and antiparallel to the field.
  • Protons in a magnetic field Bo: The energies of the proton in the two orientations differ by ΔE = gp μN Bo gp = Lande g factor for the proton
  • Measured quantities at all points of the imaged section are the proton concentration, relaxation time of the signal, chemical shift of the resonant frequency etc.
  • The relaxation times of the tissues vary by more than 300%
  • Signal Localisation :
  • The condition for NMR must be fulfilled for a small volume of tissue at the section of interest at any given time
  • The magnetic field Bo is generated by several sources: the main electromagnet which generates a uniform magnetic field and the gradient electromagnets which generate magnetic fields varying linearly along each axis. The gradient fields are modulated to scan the entire section.
  • The quantity of interest is determined at all points of the section.
  • The data is processed to construct the image
  • MRI info: The shape of the absorption peak, the resonant frequency and the relaxation time depend on the:
  • type of the nuclei
  • neighbouring nuclei
  • nature of the chemical bonds
  • electronic structure of the molecules
  • temperature of the medium
  • type of the solvent etc.
  • MRI Applications:
  • Imaging of the soft tissues and organs like brain, spinal cord, blood vessels etc.
  • Provides both anatomical and functional information
  • Considered safe