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90  3 Structural Chemistry of Manganese Dioxide and Related Compounds

                    models. Thus other methods have to be applied to overcome this problem. The most
                    powerful tool is high-resolution transmission electron microscopy (HRTEM) [4–6].
                    Other methods, for example, IR spectroscopy [7] and extended X-ray absorption
                    fine structure (EXAFS) measurements [8], give additional information about the
                    near-neighbor environment, the connection scheme of Mn(O,OH) n polyhedra, and
                    the different oxidation states of the manganese atoms in the structure.
                      The most obvious structural feature in all oxides containing manganese in the
                                                                                 2−
                    oxidation states II, III, or IV is the more or less distorted octahedral 0 × 0- (O )
                    or hydroxo- (OH ) coordination. The Mn(O,OH) 6 octahedra can be connected to
                                 −
                    each other by sharing common corners or edges. Face-sharing (as it is known
                    from Nb cluster compounds containing close Nb–Nb bonds) does not usually
                    occur, since in this case the central atoms of the polyhedra would come into too
                    close contact. So far, a metal cluster is unknown in the structural chemistry of
                    manganese dioxide and related compounds. The closest Mn–Mn distance in the
                    various modifications of MnO 2 usually occurs along the shortest crystallographic
                    axis. Many compounds contain a short translation period ranging approximately
                    from 280 to 290 pm, which represents the distance between the central atoms
                    of two edge-sharing octahedra. The octahedral unit is the fundamental building
                    element for manganese oxides. How the octahedra are connected together can
                    be used to classify the crystal structures. Similarly to silicate chemistry, the large
                    family of manganates (II, III, or IV) can be divided into subgroups which contain
                    characteristic building blocks of edge/corner-sharing Mn(O,OH) 6 octahedra [9].
                      A common structural feature is the formation of one-dimensionally infinite
                    strings of edge-sharing octahedra, which extend along the shortest translation
                    period. Two or three of these strings can be connected to one another by further
                    edge-sharing, thus forming double or triple chains. Four such MnO 6 strings,
                    connected by corner-sharing, enclose, a one-dimensionally infinite tunnel of var-
                    ious dimensions. This category of compounds is generally described as chain
                    or tunnel structure. The other frequently occurring structural element is formed
                    from two-dimensionally infinite layers of edge-sharing Mn(O,OH) 6 octahedra. The
                    stacking sequence of the octahedral layers and the kind/number of the interlayer
                    atoms or molecules (metal cations, water, hydroxide anions) are further criteria for
                    a structural classification of these layer or sheet structures (‘phyllomanganates’).



                    3.2
                    Tunnel Structures

                    3.2.1
                    β-MnO 2

                    The crystal structure of pyrolusite, or β-MnO 2 , is the simplest one within the family
                    of compounds with tunnel structures. The manganese atoms occupy half of the
                    octahedral voids in the hexagonal close packing of oxygen atoms in an ordered
                    manner, thus forming a rutile-type structure. The distorted MnO 6 units build
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