Function for back calculation of the transformed relaxation values R1, R2, and sigma_noe.
The transformed relaxation equations
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Data structure: self.data.ri_prime
Dimension: 1D, (transformed relaxation data)
Type: Numeric array, Float64
Dependencies: self.data.jw
Required by: self.data.ri, self.data.dri, self.data.d2ri
Formulae
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Components
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1 / mu0 \ 2 (gH.gN.h_bar)**2
d = - . | ---- | . ----------------
4 \ 4.pi / <r**6>
(wN.csa)**2
c = -----------
3
J_R1_d = J(wH-wN) + 3J(wN) + 6J(wH+wN)
J_R1_c = J(wN)
J_R2_d = 4J(0) + J(wH-wN) + 3J(wN) + 6J(wH) + 6J(wH+wN)
J_R2_c = 4J(0) + 3J(wN)
J_sigma_noe = 6J(wH+wN) - J(wH-wN)
Relaxation equations
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R1() = d . J_R1_d + c . J_R1_c
d c
R2() = - . J_R2_d + - . J_R2_c + Rex
2 6
sigma_noe() = d . J_sigma_noe
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