def UdJH_to_F0F2F4(Ud,JH):
    """
    Given :math:`U_d` and :math:`J_H`, return :math:`F_0`, :math:`F_2` and :math:`F_4`.

    Parameters
    ----------
    Ud : float
        Coulomb interaction :math:`U_d`.
    
    JH : float
        Hund's coupling :math:`J_H`.

    Returns
    -------
    F0 : float
        Slater integral :math:`F_0`.

    F2 : float
        Slater integral :math:`F_2`.

    F4 : float
        Slater integral :math:`F_4`.
    """

    F0=Ud
    F2=14/1.625 * JH
    F4=0.625*F2

    return F0, F2, F4