def addSiiToContainer(siiContainer, specfile, siiList):
    """Adds the ``Sii`` elements contained in the siiList to the appropriate
    list in ``siiContainer.container[specfile]``.

    :param siiContainer: instance of :class:`maspy.core.SiiContainer`
    :param specfile: unambiguous identifier of a ms-run file. Is also used as
        a reference to other MasPy file containers.
    :param siiList: a list of ``Sii`` elements imported from any PSM search
        engine results
    """
    for sii in siiList:
        if sii.id not in siiContainer.container[specfile]:
            siiContainer.container[specfile][sii.id] = list()
        siiContainer.container[specfile][sii.id].append(sii)