def std2scatteringRange(std):
    """Convert a standard deviation into scattering range (`TS` or `TN` in DIN 50100:2016-12).

    Parameters
    ----------
    std : float
        standard deviation

    Returns
    -------
    T : float
        inverted scattering range corresponding to `std` assuming a normal distribution

    Notes
    -----
    Actually `10**(2*norm.ppf(0.9)*std`

    Inverse of `scatteringRange2std()`
    """
    return 10**(2.5631031310892007*std)