def get_connected_sites(self, n, jimage=(0, 0, 0)):
        """
        Returns a named tuple of neighbors of site n:
        periodic_site, jimage, index, weight.
        Index is the index of the corresponding site
        in the original structure, weight can be
        None if not defined.
        :param n: index of Site in Structure
        :param jimage: lattice vector of site
        :return: list of ConnectedSite tuples,
        sorted by closest first
        """

        connected_sites = set()
        connected_site_images = set()

        out_edges = [(u, v, d, 'out') for u, v, d in self.graph.out_edges(n, data=True)]
        in_edges = [(u, v, d, 'in') for u, v, d in self.graph.in_edges(n, data=True)]

        for u, v, d, dir in out_edges + in_edges:

            to_jimage = d['to_jimage']

            if dir == 'in':
                u, v = v, u
                to_jimage = np.multiply(-1, to_jimage)

            to_jimage = tuple(map(int, np.add(to_jimage, jimage)))
            site_d = self.structure[v].as_dict()
            site_d['abc'] = np.add(site_d['abc'], to_jimage).tolist()
            site = PeriodicSite.from_dict(site_d)

            # from_site if jimage arg != (0, 0, 0)
            relative_jimage = np.subtract(to_jimage, jimage)
            dist = self.structure[u].distance(self.structure[v], jimage=relative_jimage)

            weight = d.get('weight', None)

            if (v, to_jimage) not in connected_site_images:

                connected_site = ConnectedSite(site=site,
                                               jimage=to_jimage,
                                               index=v,
                                               weight=weight,
                                               dist=dist)

                connected_sites.add(connected_site)
                connected_site_images.add((v, to_jimage))

        # return list sorted by closest sites first
        connected_sites = list(connected_sites)
        connected_sites.sort(key=lambda x: x.dist)

        return connected_sites