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# Module two_point

source code

The relaxation dispersion equations.

 Functions

 calc_two_point_r2eff(relax_time=None, I_ref=None, I=None) Calculate the R2eff/R1rho value for the fixed relaxation time data. source code

 calc_two_point_r2eff_err(relax_time=None, I_ref=None, I=None, I_ref_err=None, I_err=None) Calculate the R2eff/R1rho error for the fixed relaxation time data. source code
 Variables
__package__ = `'lib.dispersion'`

Imports: log, sqrt

 Function Details

### calc_two_point_r2eff(relax_time=None, I_ref=None, I=None)

source code

Calculate the R2eff/R1rho value for the fixed relaxation time data.

The formula is:

```             -1         / I1 \
R2eff = ------- * ln | -- | ,
relax_T      \ I0 /
```

where relax_T is the fixed delay time, I0 is the reference peak intensity when relax_T is zero, and I1 is the peak intensity in a spectrum of interest.

Parameters:
• `relax_time` (float) - The fixed relaxation delay time in seconds.
• `I_ref` (float) - The peak intensity in the reference spectrum.
• `I` (float) - The peak intensity of interest.

### calc_two_point_r2eff_err(relax_time=None, I_ref=None, I=None, I_ref_err=None, I_err=None)

source code

Calculate the R2eff/R1rho error for the fixed relaxation time data.

The formula is:

```                           __________________________________
1        / / sigma_I1 \ 2     / sigma_I0 \ 2
sigma_R2 = -------    /  | -------- |   +   | -------- |
relax_T  \/   \ I1(nu1)  /       \    I0    /
```

where relax_T is the fixed delay time, I0 and sigma_I0 are the reference peak intensity and error when relax_T is zero, and I1 and sigma_I1 are the peak intensity and error in the spectrum of interest.

Parameters:
• `relax_time` (float) - The fixed relaxation delay time in seconds.
• `I_ref` (float) - The peak intensity in the reference spectrum.
• `I` (float) - The peak intensity of interest.
• `I_ref_err` (float) - The peak intensity error in the reference spectrum.
• `I_err` (float) - The peak intensity error of interest.

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