MRI-1-physics - 1 Basic Physics of Basic Physics of Nuclear...

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Unformatted text preview: 10/28/2010 1 Basic Physics of Basic Physics of Nuclear Magnetic Resonance Nuclear Magnetic Resonance Nuclear Magnetic Resonance Nuclear Magnetic Resonance Xin Yu, Sc.D. Department of Biomedical Engineering Case Western Reserve University EBME410, Xin Yu, Sc.D. Nuclear Magnetic Moments Nuclear Magnetic Moments • Nuclei with nonzero nuclear spin quantum numbers have angular momentum numbers have angular momentum • The rotation of charged nucleus creates nuclear magnetic moment or nuclear dipole EBME410, Xin Yu, Sc.D. H + J 10/28/2010 2 Bulk Magnetization Bulk Magnetization s N M The macroscopic magnetization vector M is the vector sum of all the n n M 1 vector M is the vector sum of all the microscopic magnetic moments: M Without external magnetic field: EBME410, Xin Yu, Sc.D. M Zeeman Splitting Zeeman Splitting EBME410, Xin Yu, Sc.D. Pieter Zeeman (1865-1943) The Nobel Prize in Physics 1902 10/28/2010 3 The Quantum Mechanics Theory of NMR The Quantum Mechanics Theory of NMR Under an external field B , the energy levels for nuclei with nonzero spin numbers, e.g., 1 H, 19 F, 31 P, 13 C, etc., are gi en b given by B m E : gyromagnetic ratio m: spin number EBME410, Xin Yu, Sc.D. 1 H (m=±½) B0 m=+½ m=-½ B B E L L : Larmor frequency Boltzmann Distribution Boltzmann Distribution of Nuclear Spins of Nuclear Spins exp E N J/K) 10 (1.38 constant Boltzmann : system spin the of re temperatu absolute : ) exp( 23- K T KT N s s KT Δ E practice In EBME410, Xin Yu, Sc.D....
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This note was uploaded on 01/16/2011 for the course EBME 320 taught by Professor Mult during the Fall '10 term at Case Western.

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MRI-1-physics - 1 Basic Physics of Basic Physics of Nuclear...

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