Seitenhistorie

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the spin-themselfs: autorelaxation, or in other words, decay with the T₁-type (R₁-type) relaxation time (rate).

R_ii = ρ_i = b²/d_ij⁶  (J(0) + 3J(ω) + 6J(2ω)) #contribution of one neighbor spin "j" in distance "d".

And the crossrelaxation rate between H-spins "i" and "j" is: 

R_ij = σ_ij = b²/d_ij⁶ (-J(0)  + 6J(2ω))

where "b" is the dipol-dipol interaction strength, and "J(ω)" is the spectral density at angular frequency "ω". 

The spectral density J is the Fourier transformation of the rotational correlation function, shows the distribution of frequencies of the molecular rotational motion.Formula!!

Task2: Plot the diagonal peak intensities as function of the mixing time:

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For the reference pair of protons. We have now also the reference sigma sigma_Ref.
Use the formula
    r_ij = r_Ref * (sigma_Ref/sigma_ij)^(1/6). Vogeli 2014, eq. 63b
to calculate the other distances between other atoms (in a separate column).

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