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Result : Searchterm 'Frequency' found in 23 terms [] and 195 definitions []
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Lorentzian Line
 
Usual shape of the lines in a NMR spectrum, characterized by a central peak with long tails; proportional to 1/[(1/T2)2 + (f - fo)2], where f is frequency and fo is the frequency of the peak (i.e., central resonance frequency). A Lorentzian function is the Fourier transformation of a decaying exponential.
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Nuclear Magnetic ResonanceMRI Resource Directory:
 - NMR -
 
(NMR) Nuclear Magnetic Resonance is a physical phenomenon of the magnetic property of nuclei, which have a positive nuclear spin quantum number.
Under the influence of an external static magnetic field this nuclei will precess about the direction of the magnetic field with an angular frequency (Larmor frequency). Through absorption and emission of RF energy (gradients, RF coils) at the resonance frequency (Larmor equation) and the processing of this raw data by the Fourier transformation - physical, chemical, electronic, and structural information about molecules can be obtained (NMR Magnetic Resonance Spectroscopy, Magnetic Resonance Imaging).
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Thursday, 4 December 2003   by www.economist.com    
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Wednesday, 18 May 2011   by www.physorg.com    
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Sunday, 10 February 2019   by www.nimh.nih.gov    
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Phase Encoding
 
The process of locating a MR signal by altering the phase of spins in one dimension with a pulsed magnetic field gradient along that dimension prior to the acquisition of the signal.
If a gradient field is briefly switched on and then off again at the beginning of the pulse sequence right after the radio frequency pulse, the magnetization of the external voxels will either precess faster or slower relative to those of the central voxels.
During readout of the signal, the phase of the xy-magnetization vector in different columns will thus systematically differ. When the x- or y- component of the signal is plotted as a function of the phase encoding step number n and thus of time n TR, it varies sinusoidally, fast at the left and right edges and slow at the center of the image. Voxels at the image edges along the phase encoding direction are thus characterized by a higher 'frequency' of rotation of their magnetization vectors than those towards the center.
As each signal component has experienced a different phase encoding gradient pulse, its exact spatial reconstruction can be specifically and precisely located by the Fourier transformation analysis. Spatial resolution is directly related to the number of phase encoding levels (gradients) used. The phase encoding direction can be chosen, e.g. whenever oblique MR images are acquired or when exchanging frequency and phase encoding directions to control wrap around artifacts.
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Further Reading:
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Magnetic resonance imaging
   by www.scholarpedia.org    
Aliasing or wrap around artifacts
Thursday, 31 March 2011   by de.slideshare.net    
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PrecessForum -
related threads
 
When a magnetic moment (e.g. hydrogen nuclei) is placed within an external magnetic field (e.g. B0), it begins to oscillate about the direction of the field; this motion is called precession. The frequency of the precession (Larmor frequency) of the nuclide depends on this particular field strength. A higher field strength results in a higher frequency of the precession.

See also Precession.
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Further Reading:
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Agreement of left ventricular mass in steady state free precession and delayed enhancement MR images: implications for quantification of fibrosis in congenital and ischemic heart disease
Friday, 22 January 2010   by 7thspace.com/headlines    
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Precession
 
Precession is a wobbling motion that occurs when a spinning object is the subject of an external force. Relevant to MRI, the proton of a hydrogen nucleus spins around its axis giving it an angular moment (quantum mechanics). Through the protons positive charge and its spin it generates a magnetic field and gets a magnetic dipole moment (MDM) parallel to the rotation axis. If placed in a magnetic field the magnetic dipole moment will precess about the direction of the magnetic field with an angular frequency (Larmor frequency). The Larmor equation dictates that the frequency of the precession at higher field strengths is higher.
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Further Reading:
  Basics:
When Is A Proton Just Like a Dreidle?
   by www.simplyphysics.com    
  News & More:
Chickscope Overview: MRI Introduction For High School Students
   by chickscope.beckman.uiuc.edu    
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