2020•Concepts in Magnetic Resonance Part AOpen access

Solution of the Bloch Equations including Relaxation

Eric R. Johnston

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Abstract

The magnetization differential equations of Bloch are integrated using a matrix diagonalization method. The solution describes several limiting cases and leads to compact expressions of wide validity for a spin ensemble initially at equilibrium.

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The magnetization differential equations of Bloch are integrated using a matrix diagonalization method. The solution describes several limiting cases and leads to compact expressions of wide validity for a spin ensemble initially at equilibrium.

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Available abstract

The magnetization differential equations of Bloch are integrated using a matrix diagonalization method. The solution describes several limiting cases and leads to compact expressions of wide validity for a spin ensemble initially at equilibrium.

Key concepts: Bloch equations, Relaxation (psychology), Limiting, Magnetization, Bloch wave, Matrix (chemical analysis), Physics, Mathematical analysis

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