Recent content by Shinnobii

  1. S

    Thermal Equilibrium and Longitudinal Relaxation

    Thanks, rookie mistakes. . . \sum 1 = (2s + 1) , since summing from -s to s. and I forgot a factor a 3 \sum m_s^2 = \frac{s(2s+1)(s+1)}{3} . Thanks for pointing those out to me!
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    Thermal Equilibrium and Longitudinal Relaxation

    Homework Statement Problem 6.2 from Magnetic Resonance Imaging: Physical Principles and Sequence Design. Show that M_o \approx \rho_o \frac{s(s+1)\gamma^2\hbar^2}{3kT}B_o Homework Equations M_o = \rho_o \gamma \hbar \frac{\sum m_s e^{m_s(\hbar w_o / kT)}}{\sum e^{m_s(\hbar w_o / kT)}} ...
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