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    This article was published as part of the

    2009 Metalorganic frameworks issue

    Reviewing the latest developments across the interdisciplinary area of

    metalorganic frameworks from an academic and industrial perspective

    Guest Editors Jeffrey Long and Omar Yaghi

    Please take a look at the issue 5table of contentsto access

    the other reviews.

    View Article Online / Journal Homepage / Table of Contents for this issue

    http://www.rsc.org/Publishing/Journals/CS/article.asp?JournalCode=CS&SubYear=2009&Issue=5&type=Issuehttp://www.rsc.org/Publishing/Journals/CS/article.asp?JournalCode=CS&SubYear=2009&Issue=5&type=Issuehttp://pubs.rsc.org/en/journals/journal/CS?issueid=CS038005http://pubs.rsc.org/en/journals/journal/CShttp://dx.doi.org/10.1039/b804757jhttp://www.rsc.org/publishing/journals/CS/Index.asphttp://www.rsc.org/Publishing/Journals/CS/article.asp?JournalCode=CS&SubYear=2009&Issue=5&type=Issue
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    Magnetic metalorganic frameworksw

    Mohamedally Kurmoo

    Received 14th November 2008

    First published as an Advance Article on the web 24th February 2009

    DOI: 10.1039/b804757j

    The purpose of this critical review is to give a representative and comprehensive overview

    of the arising developments in the field of magnetic metalorganic frameworks, in particular those

    containing cobalt(II). We examine the diversity of magnetic exchange interactions between

    nearest-neighbour moment carriers, covering from dimers to oligomers and discuss their

    implications in infinite chains, layers and networks, having a variety of topologies. We

    progress to the different forms of short-range magnetic ordering, giving rise to

    single-molecule-magnets and single-chain-magnets, to long-range ordering of two- and

    three-dimensional networks (323 references).

    1. Introduction

    One of the many attributes of MetalOrganic Frameworks(MOF) is magnetism.1,2 It can be implemented by incorporating

    magnetic moment carriers such as paramagnetic metals or

    open-shell organic ligands or both.3,4 This, in itself, is not

    enough to render a material magnetic as magnetism is a

    cooperative phenomenon and thus requires some kind of

    exchange between the moment carriers.5 Therefore, the connec-

    tion between moment carriers at distances within interacting

    range is required. This is often achieved in MOFs. Magnetism

    can also be introduced as guests while the framework remains

    non-magnetic. So far the majority of magnetic frameworks are

    those containing paramagnetic metal centres and in particular,

    the first row transition metals (V, Cr, Mn, Fe, Co, Ni and Cu).

    These metals, which may exist in different oxidation states,allow variation of the two important parameters, spin quantum

    number and magnetic anisotropy. The potential of such a range

    of variables opens many challenges in a field without frontiers.

    The readers of this collection of works will notice that many

    of the compounds reported today are classified in different

    categories belonging to the general theme Framework, such

    as MOF (MetalOrganic Framework), IRMOF (isoreticular

    MetalOrganic Framework), MOP (MetalOrganic

    Polyhedra), ZIF (Zeolitic Imidazole Framework), PMOF

    (Porous MetalOrganic Framework), CP (Coordination Poly-

    mers), PCP (Porous Coordination Polymers), MMOF

    (Microporous MetalOrganic Framework) and more.613

    However, there is not one where magnetic is mentioned, for

    example MMOF (Magnetic MetalOrganic Framework). This

    is, most likely, due to the fact that the field of magnetism is

    much older and there is already an existing classification,

    where the classes are Itinerant Magnets, Mineral Magnets,

    Organic Magnets, Molecular Magnets and some less

    common ones.1416 Within this classification, Magnetic MOF

    are well described by Molecular Magnets. They are both

    branches of coordination chemistry where metals are bound

    in a solid by coordination bonds to organic ligands. From the

    structural point of view, there is a great interest in finding a

    logical way to develop a catalogue and thus the development

    proposed by OKeefe17,18 which consequently brings the

    notion of Yaghis Secondary-Building-Units1921 where the

    atoms in a crystal are replaced by a cluster and the organic

    connections between them make the bonds. Consequently,

    many simple and basic crystal structures, for example NaCl,

    CsCl, CdCl2, rutile, diamond, quartz and more,22,23 were

    realised which happens to be the way magnetic materials were

    classified as the structure defines the exchange pathways.5,14

    Interestingly, as the inorganic nodes get bigger and organic

    linkers get longer, and of different geometry and multitopicity,

    a variety of highly stable lightweight materials has been

    synthesised.2426 Some of these materials have spaces between

    the nodes containing solvents that can be emptied and refilled

    without loss of the mosaicity of the crystals. As a result of the

    porosity there is a major interest in this area for different

    applications; among them that of storing fuels and unwanted

    gases is of utmost importance.2732

    It is to be noted that the present word Framework is in a

    sense related to Cooperative which has been in use for many

    years and is still used today.33,34 The word Cooperative has

    several meanings; in our context it principally refers to inter-

    action of the valence electrons of neighbouring atoms in a

    Dr Mohamedally Kurmoo is now a permanent researcher of the

    CNRS (France), based at Universitede Strasbourg, following a

    PhD at University College London, and research assistant

    positions at the Inorganic Chemistry Laboratory (Oxford)

    and Clarendon Laboratory (Oxford). He was Assistant

    Director of the Davy-Faraday Research Laboratory at the

    Royal Institution of Great Britain (London) for five years. He

    has held several invited research and professorial positions in

    France, Italy, United Kingdom, Japan and the USA. He has

    published over 300 papers on the synthesis, characterisation and

    studies of the properties of metalorganic materials, in

    particular, those exhibiting multi-properties (structural,

    electrical, optical, magnetic and porosity).

    Laboratoire de Chimie de Coordination Organique, CNRS-UMR7140,Universitede Strasbourg, 4 rue Blaise Pascal, 67000, StrasbourgCedex, France. E-mail: [email protected]

    w Part of the metalorganic frameworks themed issue.

    This journal is c The Royal Society of Chemistry 2009 Chem. Soc. Rev., 2009, 38, 13531379 | 1353

    CRITICAL REVIEW www.rsc.org/csr | Chemical Society ReviewsView Article Online

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    molecule or solid. The consequence of these interactions is a

    wide range of cooperative phenomena such as electrical

    conductivity, magnetism and optical properties. In principle,

    going from atoms to SBUs does not change these cooperative

    properties and therefore, most of the electrical and optical

    ground states are basically the same. However, this is not

    always true for the case of magnetism and in this review, we

    will develop the progress made in the last ten years which

    highlights the fact. As the progress of the field is exponential, it

    is very difficult to cover all the cases in the literature.

    Therefore, we have made one selection; that is to present only

    magnetic materials of cobalt and where necessary mention

    some relevant materials having other magnetic centres or

    combination.

    This review, therefore, proceeds as follows: we first discuss the

    reasons behind our choice for cobalt highlighting its magnetic

    properties as a monomer, then develop our understanding of the

    exchange between nearest neighbours, from experimental results,

    of its different modes of connection and their consequence in

    simple dimers, through trimers, tetramers to oligomers. Finally,

    we present how long-range magnetic ordering develops in linear

    chains, layers and 3D-networks. We also present recent develop-

    ments such as single-molecule-magnetism, single-chain-magnetism

    as well as the effects of solvents on the magnetic ground states in

    some porous magnets.3537 We conclude with a general view of

    where we are coming from and where we are going.

    There are several reviews, in addition to the other chapters

    of this volume, covering the designs, synthetic approaches,

    structures and physical properties of these materials.3855

    Therefore, we will not go into already published details but

    will keep this chapter to the relevant parts in view of

    developing the structuremagnetic property relationships to

    provide a platform for further development of interesting

    magnetic materials, both of academic and industrial interests.

    Magnetic interaction between nearest neighbour moment

    carriers as presented in this review is derived from several

    structural modes which may result in different signs and

    values. The general view of the strength of the interaction,

    based on experimental observations and in some cases on

    theory, is that it decreases with the number of intervening

    bonded atoms between the moment carriers. For example, the

    critical ordering temperatures for the three magnetic metals of

    the first row transition metals range between 560 and 1380 K,

    while for oxides (one-atom bridge) of the same metals it does

    not exceed 900 K and for compounds with two-atom bridges

    (e.g., cyanide) it is below 350 K. On increasing the number of

    atoms in the bridge to three (e.g., dicyanamide and azide) the

    transition temperatures do not get higher than 50 K.56,57

    When the connection is through four-atom bridges, no long-

    range magnetic ordering is observed above 2 K. Furthermore,

    the transition temperature decreases in the order 3D 4 2D4 1D.

    We have to stress that the above correlation applies to systems

    which has all pairwise exchange pathways equivalent. For the

    present review we will adopt the definition of magnetic

    dimensionality by considering only bridges of less than four

    atoms, although bridges of four and more atoms become

    important at low temperatures through dipolar interactions

    and especially when the ordered SBU (may it be a cluster, a

    chain or a layer) has a large resultant correlated moment.

    Common to the chemistry of the frameworks, especially for

    cobalt, is the presence of water, hydroxide and carboxylate

    that form the connections between the magnetic centres. These

    are the main examples that will be considered here, though

    some examples may contain in addition bipyrimidine,

    pyrazole, triazole and tetrazole that provide CoNNCo

    bridges.

    2. Cobalt

    Cobalt, translated from its German name Kobald chosen by

    its discoverer Georg Brandt, meaning goblin or evil spirit, is

    absolute gold for scientists interested in structural chemistry

    and magnetism. One of the interesting structural aspects of

    working with cobalt in contrast to nickel, iron and manganese

    is the range of geometries, octahedral, tetrahedral, square-

    pyramidal, trigonal-bipyramid and square-planar, that are

    stable.58 The order of occurrence in the literature for the

    known MOFs is as listed. We note that the coordination

    geometry is purely a consequence of serendipity and is not a

    designable parameter. As for magnetism it provides the highest

    magneto-crystalline anisotropy which results in record

    magnetic hardness.

    The ligands used in the development of MOF are usually

    those having oxygen (oxide (rarely found for cobalt), water,

    hydroxide, alkoxide, alcohol and carboxylate) or nitrogen

    (amine, pyridine, azide and azole) coordinating atoms and in

    few cases, sulfur (thiolate). Water or alcohol can contribute

    one (terminal) or two (one-atom bridge) bonds to the metals,

    while hydroxide or alkoxide can contribute from one

    (terminal) up to three (one-atom bridge) bonds. In contrast,

    carboxylate can contribute from one up to four bonds to the

    metals, adopting combinations ofsyn and anticonfigurations

    that have some consequences on the magnetic exchange

    between nearest neighbours. Ancillary ligands with nitrogen

    can contribute one bond per pyridine nitrogen atom and one

    or two per azide nitrogen atom to the metals. The connection

    can be a two-atom bridge as in the case of pyrazole, triazole,

    tetrazole and bipyrimidine. For these donor atoms the

    ligand-field remains weak favouring the spin state, S = 3/2

    (t2g5eg

    2(Oh) or eg

    4t2g

    3(Td)).

    As found in nature, cobalt-containing MOFs can have a

    wide range of colours which makes it easy, in many cases, to

    identify different phases.59 This may be one of the reasons why

    cobalt frameworks are also popular with magneto-chemists.

    The most common colours are, a very light pink for octahedral

    coordinated ones and an intense blue for tetrahedral

    coordination. For distorted octahedra, the pink colour can

    intensify to orange, dark red, purple and violet depending on

    the ligand and the type of distortions. For compounds having

    both tetrahedral and octahedral coordinated ions, they are

    usually green to blue depending on the distortions and the

    ratio of cobalt atoms in the two coordination geometries.

    However, some unusual colours such as colourless, gray and

    green have been observed for octahedral cobalt ions.6062

    Structural polymorphism is occasionally encountered in

    MOFs.6366 In most cases, different condensations of salt

    are formed when one works at different temperatures

    in the hydrothermal synthesis.6770 For example, in a

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    neutral or slightly acid medium the hydrogen-bonded

    network [Co(H2O)6](dicarboxylate) is formed at temperatures

    below 90 1C, and it transforms into the one-dimensional

    Co(H2O)4(dicarboxylate) for temperatures between 100 and

    120 1C and to a two-dimensional Co(H2O)2(dicarboxylate) at

    a slightly higher temperature.7173 By increasing the alkalinity

    of the medium, condensed hydroxide containing networks are

    often obtained. There is a general tendency to form clusters at

    lower temperature, where the clusters increase in size to chains

    and ladders through layers and finally 3D-frameworks at

    higher temperatures. This progression of structural condensa-

    tion provides a whole gamut of clusters that are very

    important in the understanding of the magnetism of MOFs;

    and consequently, our aim for this review is to develop our

    understanding from that of a simple metal centre to a dimer,

    progressively through the oligomers to infinite 1D, 2D and 3D

    structures.

    Cobalt, as a metal, has the highest Curie temperature among

    the three ferromagnets of the first-row transition metals and is

    also the most anisotropic magnetically. In its oxidised form the

    divalent (d7) and tetravalent (d5) cations are paramagnetic but

    the trivalent (d6) is generally diamagnetic. In most MOFs of

    cobalt the oxidation state is two and therefore, we will only

    consider this ionic state in what follows. In octahedral coordi-

    nation geometry, the ground state is a 4T1gsuch that if one uses

    the spin-only formula for S = 3/2 and a g-value of 2, the

    effective moment is expected to be 3.87 cm3 K mol1. However,

    the observed values are usually higher (4.75.2 mB) due to the

    unquenched orbital-moment as a consequence of spinorbit

    coupling (l=B170 cm1

    = 118 K).58

    The spinorbit coupling

    lifts the twelve-fold degeneracy of the ground state and gives

    rise to a doublet, a quartet and a sextet of Kramers levels. The

    lowest level being the doublet. Upon cooling, the depopulation

    of the upper levels causes the effective magnetic moment to be

    reduced even in the absence of magnetic exchange and Mabbs

    and Machin analysed the temperature dependence of the

    magnetic susceptibility and arrived at an artificial Weiss

    constant of20 K for an isolated Co(II).74 The temperature

    dependence of the magnetic susceptibility has frequently been

    simulated using the equation of Mabbs and Machin or

    modifications thereof to include axial distortion of the six-

    coordinated Co(II) ion by taking into account the energy gap

    between the singlet 4A2and doublet4E levels resulting from the

    splitting of the orbital triplet 4T1g ground state under an axial

    distortion.75 For the low temperature state, Abraham and Price

    have found an effectiveS= 1/2 and a gav= 13/3 describe best

    the EPR spectra of several Co(II) salts.7678 Consequently, the

    isothermal magnetization deviates from that of an expected

    Brillouin function for an isotropic S= 3/2 ion with a saturation

    value (gS) of 2.32.4mB. For tetrahedral Co(II), the ground state

    term is 4

    A2 and the effect of spinorbit is not so large. The

    observed range of effective magnetic moment is 4.54.8 mB,

    gav = 2.4 and S= 3/2.7987 For non-interacting tetrahedral

    Co(II), the Weiss constant is close to zero. For a trigonal-

    bipyramid and square-pyramid, the behaviour is intermediate

    between those of octahedral and tetrahedral coordinated

    Co(II).88 Square-planar Co(II) systems, which are very rare in

    MOF, adopt the low-spin state (S= 1/2). The average g-value

    is slightly elevated from the free-electron value due to a small

    orbital contribution resulting in an effective moment range of

    2.22.7mB.89

    3. Magnetism of metalorganic frameworks

    There exist several reviews dealing with the different aspects of

    magnetism.90105 In addition to the general reviews, some

    cover special areas such as (a) simple intuitive syntheticapproaches to designing magnets, (b) the effect of distance,

    (c) symmetry relations, (d) and particular ligands ( e.g.cyanide,

    oxalate, azideetc.). Furthermore, there are some more physics

    oriented reviews covering special issues such as frustration,

    low-dimensionality and more. These reviews provide a very

    good basis of magnetism in molecular systems from which we

    can draw much in understanding those of MOFs. We shall

    start with a single centre and develop through to more com-

    plex clusters and to infinite 1D, 2D and 3D networks.

    3.1 Monomers

    Monomeric compounds of cobalt with carboxylate ligands

    are rarely found when the synthesis is carried out hydro-

    thermally.63,106,107 An example of one which is closest to a

    perfect octahedral geometry is [Co(H2O)6](H2pm) where pm is

    1,2,4,5-benzenetetracarboxylate (Fig. 1 (I)) which has the

    hexaaquo-cobalt hydrogen-bonded to the pyromellitate to

    form a 3D network.63

    The susceptibility is as described above

    with Curie constant (C = 2.95 cm3 K mol1 Co) corres-

    ponding to an effective moment of 4.86 mBand Weiss constant,

    Y = 19.9(6) K. The isothermal magnetization saturates at

    2.3 mB. This set of values is observed for a series of

    one-dimensional chain compounds of the general formula,

    Co(H2O)4(dicarboxylate) where the linear dicarboxylate

    (fumarate, succinate, 1,4-cyclohexanedicarboxylate,

    hexanoate, and others) forms the bridge between the

    Co(H2O)4 planar units.108 These chains can be helical as in

    the case of 2,20-biphenyldicarboxylate but with surprisingly a

    larger Weiss constant of 51 K.109 However, when the

    cobalt environment is heavily distorted from an octahedron

    these values can show major deviations. As an example,

    Co2(cis-1,4-chdc)2(dpa)2 where chdc is cyclohexanedicarboxylate

    and dpa is 2,2 0-dipyridylamine (Fig. 1 (II)),110 which has

    bond lengths in the range 2.0882.301 A for CoO and

    2.0502.084 A for CoN. The major distortions are generated

    by the presence of chelating carboxylate groups which resulted

    in a range of angles of 59.6144.91for OCoO and 93.6159.91

    for OCoN. Analysis of the magnetic susceptibility gives

    C = 2.98 cm3 K mol1 Co and Y = 1.4(2) K. For an

    almost tetrahedral Co(II), as found in Co2(2,20-bpdc)2(dpa)2

    where bpdc is biphenyldicarboxylate (Fig. 1 (III)),110 where

    the cobalt ions are coordinated by two oxygen atoms and two

    nitrogen atoms,C= 2.47 cm3 K mol1 Co and Y= 1.2(2) K.

    The conclusion from these simple cases is that for tetrahedral

    system we usually find the expected values while for octahedral

    systems one has to consider the distortions from a regular

    octahedron before commenting on the Weiss constants. To

    our knowledge, examples of isolated Co-carboxylate in

    penta- or square-planar coordination are rather rare in the

    field of MOF.

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    3.2 Dimers

    By modelling the temperature dependence of the susceptibility of

    dimers and trimers it is usually possible to extract the value of the

    exchange interaction between the nearest neighbours, which can

    in turn be very useful in our understanding of the magnetism of

    more extended systems. However, such analyses for cobalt have

    not been very extensive due to the change of regime, consequent

    of the effect of spinorbit coupling, in the range of temperature

    where experiments are performed. While most analyses are

    superficial, some elaborate calculations have been performed

    by Ostrovsky et al. and Palii et al. for specific examples.111114

    Such calculations will be very informative and are required for

    the different modes of connection that are known. These

    connections can be just a simple corner-sharing with one bridging

    oxygen atom as for Co2(2-pzc)(H2O)(VO3)3 (Fig. 2 (I)),115

    2-pzc = 2-pyrazinecarboxylate, and Co5(bpc)2(H2O)1212H2O

    (Fig. 2 (III)),116 bpc = benzenepentacarboxylate, or an edge-

    sharing through oxygen bridges as for Co2(hypa)2(4,40-bpy)

    (Fig. 2 (IV)),117 hypa = hydroxyphenylacetate. A corner sharing

    and two carboxylate bridges are observed for an elegant porous

    system, Co2(nicotinate) (Fig. 2 (II)),118 where the lattice water

    molecules can be removed and other solvent inserted without

    damaging the crystals. For the last four examples, the estimation

    of the exchange constant have been obtained by simple

    CurieWeiss fit of the high-temperature data or using equations

    for dimers derived from an isotropic Hamiltonian. Many authors

    have used the argument of Goodenough and Kanamori to

    discuss the types of exchange interaction (J) where a CoOCo0

    angle of less than 971 is assumed positive (ferromagnetic) and

    anything above is negative (antiferromagnetic).119121 This simple

    rule appears to operate with success for the case of cobalt(II). As

    the examples in Fig. 2 show that modes I and II are antiferro-

    magnetic while all the edge-sharing modes III and IV are

    ferromagnetic. The latter has been confirmed by neutron

    studies on compounds, Co2(OH)PO4, NaCo2(H3O2)(MoO4)2(Fig. 2 (V)) and Co2(pm), displaying this type of connection

    (see later).122124 When the bridge is a carboxylate, that is

    CoOCOCo, most, if not all, of the reported exchange

    interactions are antiferromagnetic. However, the absolute values

    can vary depending on the modes of connection (synsyn,

    synantior antianti), the angles and also on the distance. One

    Fig. 2 Structures of binuclear units showing the different modes of

    connection via one-atom (O) and three-atom (OCO) bridges.

    Fig. 1 Structures containing (I) regula r octahedr a:

    [Co(H2O)6](H2pm), (II) distorted octahedra: Co2(cis-1,4-chdc)2(dpa)2and (III) tetrahedra: Co2(2,2

    0-bpdc)2(dpa)2.

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    exception to this, Kitagawa et al. reported a ferromagnetic

    interaction (Y = +8.3 K; C= 4.39 cm3 K mol1 Co) for a

    dimeric unit bridged by two synanticarboxylato bridges in the

    bilayered polymer, Co(3,4-pydc)(H2O)2H2O (Fig. 2 (VI)), pydc

    = pyridinedicarboxylate.125 In the case of one, two or three

    OCO bridges, the exchange interactions are usually weak but for

    the four OCO bridges, as found in the paddlewheel dimers, it can

    be very large. A CurieWeiss fit of the susceptibility data of

    Co2(2,5-Br2bdc)2(py)2 (Fig. 2 (VII)) gives Y = 218 K while

    using an isotropic dimer model for S= 3/2, we estimate J to

    be 68 K. Ouahabet al.used a BleaneyBowersS= 1/2 model

    instead and found a singlettriplet gap of 420 cm1 (292 K) with

    a fittedg= 4.78.126,127 To explain the observation, they propose

    a molecular-orbital scheme, different to that of Cotton et al.,

    suggesting the formation of a weaks-bond (dz2).128,129 Using

    hydrothermal synthesis with the chiral D-(+)-camphoric acid,

    Zeng et al. obtained a chiral two-dimensional (4,4) network of

    binuclear paddlewheels, Mx

    M02x(D-cam)2(1,4-dimb), which

    are then connected by 1,4-di(1-imidazolylmethyl)benzene

    (1,4-dimb).130

    They were able to make solid solutions of CoNi

    covering the whole range. Surprisingly all the compounds show

    long-range antiferromagnetic ordering between 7 and 23 K as

    well as weak ferromagnetism, spin-flop, and glassy behaviour

    that result from the randomness of the mixed metal pairs,

    magnetic anisotropy of the metallic cations, and possibly anti-

    symmetric exchange. Using the same camphoric acid and

    Co(OAc)2 but this time carrying out the reaction using

    ionothermal conditions in 1-ethyl-3-methylimidazolium bromide

    (EMImBr), the chiral (EMIm)[Co2(D-cam)2(OAc)] was obtained

    where the (4,4) 2D-network of paddlewheels are bridged by

    acetate (OCO) bridges to give a 3D-framework with the cations

    sitting in the cavities.131 No magnetic properties were reported.

    Oxalate is another ligand that can be considered as a bridge

    through two OCO connections, but it differs electronically by

    the presence of the CQC bond which increase the interaction

    within a pair due to the p-orbitals (Fig. 2 (VIII)). Different

    groups have reported estimations ofJand all are in agreement

    for a weak antiferromagnetic interaction.132134

    3.3 Trimers

    Similar types of connection as for dimers are found within

    trimers. Magnetic measurements are available for some and

    similar approach to analysing the data has been reported. The

    elaborate analysis by Calvo-Pe rezet al.considering only a trimer

    where the connection between cobalt atoms is via one oxygen

    and two OCO bridges and ignoring the connection between

    trimers for the chain compound Co3(m-OOCCF3)4(m-H2O)2)-

    (OOCCF3)2(H2O)2(C4H8O2)2C4H8O2 suggests that Jis weakly

    antiferromagnetic. 135 For the similar trimer Co3(PhCOO)6(py)2(Fig. 3 (I)) no magnetic data are given.

    136For Co3(phcinna)6(quin)2

    where phcinna = phenylcinnamate and quin = quinoline,

    which has three OCO bridges between cobalt, Oka et al.

    estimates a ferromagnetic J by analysing the temperature

    and field dependence of the magnetization.137 On the other

    hand, Yuet al. found antiferromagnetic coupling for a similar

    trimer in Co(tatb)2(H2O)2(dma3H2O), tatb = 40,400-s-triazine-

    2,4,6-triyltribenzoate, dma = dimethylacetamide.138 Parket al.

    made Co3(sda)3(dmf)2(Fig. 3 (II)) where the stilbenedicarboxylate

    (sda) bridges trimeric units into hexagonal layers.139 Each trimeric

    unit consists of one octahedral cobalt atom at the centre

    symmetrically connected to two tetrahedra through three

    OCO bridges each. The Curie constant of 3.12 cm3 K mol1

    Co was reported to be independent of the applied field

    (100 and 1000 Oe) but the Weiss constant is reported to

    be slightly dependent on field (31.32 K for H = 100 Oe

    and 24.69 K for H= 1000 Oe) but negative and higher than

    that of a monomer, suggesting that the nearest-neighbour

    interaction is antiferromagnetic. Paramagnetism is

    reported for a trimer where the connections are through

    one oxygen and one carboxylate.

    140,141

    Unfortunately, nomagnetic data are available for the two edge-sharing trimers,

    Co3(H2O)6(succinate)3 (Fig. 3 (III)) and Na[Co3(1,3,5-btc)2(m3-OH)-

    (m2-H2O)4(H2O)7]1.5H2O (Fig. 3 (IV)), btc = benzenetri-

    carboxylate,142,143 where one may expect a ferromagnetic J

    between nearest-neighbours.

    Using two different carboxylate containing ligands, 3-(1H-

    benzimidazol-2-yl)propanoate (pa) and isonicotinate (ina), Yao

    et al.prepared a 2D network, Co3(OH)2(pa)2(ina)2(Fig. 3 (V)),

    consisting of Co(II) TdOhTd trimers.144 Although the trimers

    are connected through multiple-atom bridges, the compound is

    reported to display long-range antiferromagnetic ordering at

    20 K. From field- and frequency-dependence ac-susceptibility

    measurements, the authors conclude that the ground state is acanted-antiferromagnet deriving from DzyaloshinskiMoriya

    interaction in addition to a single-molecule magnetic

    behaviour.145,146

    3.4 Tetramers

    As the number of moment carriers within a cluster increases,

    the magnetism becomes more interesting due to the possibility

    of obtaining systems behaving as single-molecule-magnets

    given that cobalt(II) has an important single-ion anisotropy

    (D) due to the presence of three unpaired electrons in the

    d-shell. A positive D is a requirement for the observation of

    Fig. 3 Structures of trinuclear units showing the different modes of

    connection via one-atom (O) and three-atom (OCO) bridges.

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    single-molecule-magnetic properties and its absolute value is

    related to the barrier for magnetization reversal.35

    Powell et al. made the rhombus tetramer,

    Co4(m3-OH)2(H2O)6(ntp)22H2O (Fig. 4 (I)) where

    ntp = nitrilotripropionate, which consists of an edge-sharing

    cobalt dimer connected by the apices of two octahedra at the

    hydroxide sites.147 The magnetic properties reveal competing

    antiferromagnetic and ferromagnetic interactions between

    the four Co(II) ions and below 1 K a long-range Ne el

    state is established. Liu et al. reported a network,

    Co4(1,3,5-btc)2(L3)2(OH)2(H2O)4.5H2O, L

    3 = 1,10-(1,4-butanediyl)-

    bis(imidazole), consisting of two types of rhombus tetramers

    (Fig. 4 (II)) composed of edge-sharing polyhedra.148 In one

    type an edge-sharing octahedral cobalt pair connects to the

    edges of two trigonal-bipyramidal cobalt centres. The other

    consists of four cobalt octahedra sharing edges. This

    compound is found to display dominant antiferromagnetic

    interaction (Y = 89 K) and exhibits a very high Curie

    constant per cobalt of 6.2 cm3 K mol1, which is twice the

    expected value. In a slightly different structured tetramer,

    Co4(OH)2(3,4-pbc)3(Fig. 4 (III)), 3,4-pbc = 3-pyrid-4-ylbenzoate,

    consisting of an edge-sharing octahedral cobalt pair connected

    to the apices of two trigonal-bipyramidal cobalt.149 A

    CurieWeiss fit of the temperature dependence of the

    susceptibility gives a Weiss constant of again 89 K and a

    normal Curie constant of 3.5 cm3 K mol1 Co.

    The 3D network of pyromellitate bridged tetramers

    Co4(OH)2(H2O)2(C4H11N2)2(pm)1.5H2O,150 consisting of an

    edge-shared octahedral dimer connected via the apices to two

    square-pyramids also displays dominant antiferromagnetic

    coupling with features indicating the presence of ferromagnetic

    coupling. Co4(2,5-pydc)4(bpe), pydc = pyridinedicarboxylate,

    bpe = bipyridylethane, an eight-connected self-penetrating net

    based on a cross-linked a-Po subnet, has tetrameric nodes based

    on OCO bridged dimers.151 It behaves as antiferromagnetically

    coupled paramagnets (Y= 61 K and C= 1.48 cm3 K mol1

    of Co which is only half the expected value). Ma and Zhou

    synthesised a highly symmetric network, H2[Co4O(tatb)8/3]

    (Fig. 4 (IV)) where tatb = 4,40,400-s-triazine-2,4,6-triyltribenzoate,

    exhibiting high gas absorption capacity and consisting of a

    beautiful Co4(m4-O) tetramer.152

    Each cobalt atom adopts a

    square-pyramid geometry and sits at the corners of a perfect

    square with the appearance of a St Johns cross. If the

    exchange between pairs is antiferromagnetic, such an arrange-

    ment will be frustrated magnetically and consequently, the

    absence of magnetism of this compound will be very

    interesting indeed.

    Following the synthesis and characterisation of the

    [M4(cit)4] cubane moiety (Fig. 4 (V)) in the series

    [C(NH2)3]8[MII4(cit)4]8H2O (cit = citrate, M = Mg, Mn,

    Fe, Co, Ni, Zn),153,154

    the two independent groups performed

    extended studies of the ac and dc magnetic properties covering

    the milliKelvin (mK) temperature region, field dependence,

    field-sweep dependence and frequency dependence.155,156 They

    arrived at the same conclusion of a SMM behaviour for the

    cobalt complex with the characteristic blocking temperature of

    3 K, DE/kB= 21 K, andt0= 8 107 s. Due to the very fast

    quantum tunnelling of the magnetization, the hysteresis loops

    collapse at zero-field. Murray et al. also showed that the

    related octanuclear cluster [Co8(cit)4(H2O)12]24H2O,156

    containing a [Co4(cit)4] cubane moiety, behaves likewise

    (DE/kB = 20.5 K, t0 = 1.0 107 s). Furthermore, for the two

    parent compounds, [(NMe4)3Na{Co4(cit)4[Co(H2O)5]2}]11H2O,

    [(NMe4)4{Co4(cit)4[Co(H2O)5]2}]16H2O, and their partially de-

    hydrated congeners, [(NMe4)3Na{Co4(cit)4[Co(H2O)5]2}]7H2O,

    [(NMe4)4{Co4(cit)4[Co(H2O)5]2}]6H2O, having the Co4O4cubane structure connected by two Co(H2O)5 units, Murrie

    et al.found SMM behaviour in their dc- and ac-susceptibility

    study.153 The fully solvated samples exhibit a blocking

    temperature of 6 K with onset of a frequency dependence

    but without a peak in the temperature dependence of the

    imaginary ac-susceptibility (w00) above 1.8 K. In contrast,

    for the partially dehydrated samples, well-resolved peaks for

    w00 are observed from which the gap and relaxation time (t0)

    were estimated from the Arrhenius fits: DE/kB = 26 K and

    t0 = 8.2 109 s for [(NMe4)3Na{Co4(cit)4[Co(H2O)5]2}]

    7H2O and DE/kB = 3 2 K a n d t0 = 2.1 109 s for

    [(NMe4)4{Co4(cit)4[Co(H2O)5]2}]6H2O. The change in co-

    ordination geometry upon dehydration is suggested to be

    responsible for the difference in behaviour.

    Fig. 4 Structures of tetranuclear units showing the different modes of

    connection via one-atom (O) and three-atom (OCO) bridges and

    face-sharing within Co4O4 cubanes.

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    Xianget al.found another compound containing the Co4O4citrate cubane unit in {KCo3(cit)(Hcit)(H2O)28H2O}8(Fig. 4 (VII)) which is obtained as violet prismatic crystals

    by the hydrothermal reaction of a suspension of cobalt

    acetate, citric acid and KOH in ethanolaqueous solution at

    120 1C.157 The structure is highly symmetric and is described

    as anatase with an assembly analogous to polyoxometalate.

    The key feature is the similar cubane units described above

    where each cubane is connected to six neighbours via six

    tetrahedral cobalt units; the latter connects four cubanes.

    The overall structure was demonstrated to be porous by gas

    sorption measurements. The Weiss constant is +1.4 K

    suggesting ferromagnetic interaction dominates within the

    cluster. Considerable field dependence is observed in the

    dc-magnetization below 20 K which is interpreted as being due

    to canting with a remanent magnetization of only 92 cm3 G mol1

    as expected for a very small canting angle of 0.131. Frequency-

    dependent ac-susceptibility is observed below 5 K. The

    dehydrated compound behaves in a similar way with almost

    the same characteristics.

    The Co4O4 cubane was found in [Co12(bm)12(NO3)-

    (OAc)6(EtOH)6](NO3)5(Fig. 4 (VIII)), where bm = benzimidazole

    methanol caps the cubane partially and the coordinating NO 3sits in the center of three cubanes while the acetate connects

    the cubanes on the periphery to give a Co12 cluster.158 It

    displays SMM behaviour below 3 K where the Argand-

    diagram suggests a simple one-barrier model. The isothermal

    magnetization at 2 K reaches full saturation in 70 kOe. The

    compounds containing the Co4O4 cube appear to be the

    smallest true SMM to be realised though Yao et al. hinted

    to a trimer having such properties.144

    Chiang et al. found a fusion of two Co4O4 cubanes at one

    vertex to give Co7(m3-OH)8 (Fig. 4 (VI)) clusters which are

    bridged by six oxalate and six piperazines to form a

    highly symmetric (space group R3) 3D-framework

    Co7(m3-OH)8(ox)3(pip)3.159 Analysis of the high-temperature

    susceptibility gaveC= 3.14 cm3 K mol1 Co andY= 2.76 K.

    The latter indicates a nearest-neighbour ferromagnetic

    interaction between cobalt atoms within the cluster. Due to

    antiferromagnetic coupling between these ferromagnetic

    clusters the ground state is an overall antiferromagnet

    below TN of 26 K. Isothermal magnetization at different

    temperatures are linear with field and that at 2 K suggests

    a spin-flop about 60 kOe. The isostructural nickel analogue

    is likewise composed of ferromagnetic clusters (defined by two

    exchange pathways J1 = 40 K an d J2 = 0 K) ,160 which

    are ordered antiparallel to one another to give a Ne el state

    below 17 K.

    3.5 Pentamers

    Pentamers are rare; a search of the literature found only one

    example, Co5(OH)2(pm)2(H2O)4xH2O.161 It consists of

    edge-sharing trimers with apical connection to two octahedral

    cobalt atoms on the peripheral ends of the trimer. These

    pentamers are linked into frameworks by the benzenetetra-

    carboxylate. The link involves bridges consisting of the

    carboxylate and the benzene backbone. No magnetic

    measurements are reported for this compound.

    3.6 Hexamers

    Co6(OH)2(bpc)2(H2O)6 (Fig. 5 (I)), bpc = 1,2,3,4,5-benzene-

    pentacarboxylate, consists of a linear edge-sharing tetramer

    connected to two octahedral cobalt atoms on the peripheral

    ends of the tetramer.116 The links between hexamers involve

    only carboxylate connections. Extensive magnetic measure-

    ments are reported for this compound demonstrating a long-

    range antiferromagnetic ordering below 5 K. The Curieconstant is 3.35 cm3 K mol1 Co and the Weiss constant

    is 30 K. The saturation magnetization at 2 K of 1.08 mBis far

    from the expected result of 4.6 mB. These results indicate a

    ferrimagnetic order within the linear hexamer and weak anti-

    ferromagnetic coupling between them to assure a long-range

    ordering to a Ne el state. This weak coupling can be overcame

    by fields higher than the metamagnetic critical field of 4 kOe to

    realise a ferrimagnet where four ferromagnetically coupled

    cobalt atoms are antiferromagnetically coupled to the

    remaining two. From the phase diagram, Sevov et al.

    established an ordering temperature of 4 K.116

    Using 2-phenylcinnamic acid the hexamer complex,

    Co6(OH)2(phcinna)10(Fig. 5 (II)), phcinna =a-phenylcinnamate,has been isolated and it consists of two edge-sharing octahedra

    and four tetrahedral units linked through m-carboxylate

    ligands and m-hydroxide ions.162 Antiferromagnetic coupling

    between Co ions is suggested by the temperature dependence

    of the susceptibility while the isothermal magnetization at 2 K

    indicates anS= 3 ground-state. Assuming the octahedral pair

    is ferromagnetically coupled, the moments of the four

    tetrahedra must be antiparallel resulting to a saturation of

    6 mB. Co6(OH)2(PhCOO)10(PhCOOH)43PhCH3 (Fig. 5 (III))

    Fig. 5 Structures of different hexanuclear units.

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    contains a closely related hexamer but the magnetic properties

    are not reported.136

    As a tripod ligand (phosphonomethyl)iminodiacetate was

    found to coordinate via the oxygen atoms of the carboxylate

    and phosphite end as well as by the amine nitrogen atoms to

    cobalt(II) to form {K2[CoO3PCH2N(CH2CO2)2]}6xH2O

    (Fig. 5 (IV)) by a solvothermal reaction in methanol.163,164

    While the carboxylate groups and the nitrogen block the

    cobalt atoms from propagating into a 3D-polymeric structure,

    the phosphite group connects penta-coordinated (CoO4N)

    into a highly symmetric ring. These are then packed into a

    3D network by hydrogen bonding with the lattice water

    molecules and by ionic bonds with the potassium atoms.

    Analysis of the magnetic susceptibility above 100 K,

    taken in 100 Oe, gave a Weiss constant of 14 K and

    considerable field dependence below 20 K, consistent with

    canted-antiferromagnetism, as confirmed by the linear

    dependence of the isothermal magnetization at 5 K and the

    presence of a small hysteresis loops. At first sight, the presence

    of a long-range ordering for such a ring is quite surprising but

    if the moments within the rings are ferromagnetically coupled

    a weak dipolar interaction between the rings can result in an

    ordered state. It is further suggested by the authors that the

    canting is derived predominantly by the single-ion anisotropy

    due to the absence of an inversion centre relating the cobalt

    atoms by symmetry.

    Reaction of another tripod ligand, 2-amino-2-methyl-1,3-

    propanediol (ampdH2), with Co(OAc)2 in methanol affords

    the mixed-valent hexamer Co6(H2O)(MeOH)(OAc)6(ampd)4(Fig. 5 (V)) compound (four divalent and two trivalent)

    formed of a segment of a brucite layer.165

    At high tempera-

    tures the magnetic susceptibility data are dominated by the

    single-ion properties of high-spin Co(II) centres with distorted-

    octahedral coordination geometries. Below 30 K ferro-

    magnetic coupling was found using theoretical analysis in

    terms of an anisotropic exchange model, and inelastic neutron

    scattering data.

    3.7 Heptamers

    It is interesting to highlight the four examples of heptamers

    though they do not strictly belong to our selection; that is

    containing a carboxylate group. The first is an interesting

    cubane of cobalt [Co(H2O)6Co8(L1)12]X6nH2O (X = NO3,

    n= 12; X = HCO3,n= 24; HL1 = 4,6-bis(2-pyridyl)-1,3,5-

    triazin-2-ol) and inside the cube is a Co(H2O)6 hydrogen-

    bonded to the alcohol group of the ligand.166 The unit is a

    fragment of an NbO structure. Though there is a three-atom

    bridge between cobalt pair in the cube, the magnetic properties

    are close to that of isolated paramagnetic cobalt(II) centres.

    The other three examples are all cyclic wheels of six cobalt

    atoms on the perimeter and one in the centre (Fig. 6 ( I)). This

    cyclic wheel is a fragment of a brucite layer where each

    octahedron shares three edges with its neighbours. They differ

    in the valencies of the cobalt atoms and in their disposition

    within the cluster. The first contains seven divalent cobalt

    atoms, while the second has four divalent ones (one at the

    centre and three symmetrically positioned on the perimeter)

    and three trivalent ones (on the perimeter). The third has three

    divalent cobalt atoms (defining the diameter) and two pairs of

    trivalent ones on each side of it.

    The first example, [Co7(hdeo)6(N3)6](ClO4)22H2O contains azide

    and oxo bridged Co(II) (Hhdeo = 2-hydroxy[1,2-di(pyridin-2-yl)]-

    ethane-1-one).167,168 Magnetic data were theoretically fitted

    and intramolecular ferromagnetic couplings between nearest

    neighbours were found. It shows a blocking temperature of

    ca. 3 K with clear frequency dependence of both components

    of the ac-susceptibility in fields of zero and 600 Oe, suggesting

    SMM behaviour.

    The same structural unit is found in [CoII4CoIII

    3(HL)6-

    (NO3)3(H2O)3]2+ by using the tripod ligand H3L = H2NC-

    (CH2OH)3,169 but this time the complex is a mixed-valent salt.

    In contrast to azido bridges in the above compound, this

    species has oxygen atom bridges. In this electronic configuration

    only the Co(II) is the moment carrier and they are arranged in

    a star of three corners and one centre. The complex is reported

    to be an exchange-biased single-molecule magnet. The

    blocking temperature is similar to that of the fully reduced

    system.

    Extending the tripod ligand to 2-amino-2-methyl-1,3-

    propanediol (H2ampd) Ferguson et al. obtained the hepta-

    nuclear ring structure when the reaction with Co(OAc)2 was

    performed solvothermally in methanol.169 The cluster is

    connected into chain by a cobalt(II) to give the overall formula

    Co8(H2O)2(OAc)7(ampd)6, where the heptanuclear cluster

    contains four divalent and three trivalent cobalt ions. The

    magnetic data at high temperatures were analysed showing

    dominant single-ion properties of high-spin Co(II) centres with

    distorted-octahedral coordination geometries, while the

    low-temperature data suggest ferromagnetic exchange within

    the heptanuclear unit and negligible interactions along the

    chain between the hepta- and mononuclear fragments.

    Despite the presence of negative magnetic anisotropy of the

    Co(II), a requisite for the observation of SMM behaviour,

    Luneau et al. observed a lack of such behaviour for the

    mixed-valent heptanuclear wheel, CoII3CoIII

    4(L)6(MeO)6,

    LH2 = 1,1,1-trifluoro-7-hydroxy-4-methyl-5-azahept-3-en-2-one.170

    Structural study showed that the three paramagnetic ions are

    in a line along the diameter of the wheel. The temperature- and

    field-dependence magnetizations evidence ferromagnetic inter-

    actions within the compound. Using ab initio calculations

    including spinorbit coupling to simulate the susceptibility

    and magnetization, good agreements were obtained for

    nearest-neighbour and next-nearest-neighbour exchange para-

    meters (1 and 3.8 K, respectively). Facile inter-valence

    Fig. 6 Structures of two heptanuclear units.

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    electron-transfer appears to contribute to the strong ferro-

    magnetic interaction between distant cobalt ions. The absence

    of single-molecule-magnet behaviour is associated with large

    tunnelling rates between states in the presence of dipolar

    transverse magnetic fields in the crystal.

    KCo7(OH)3(1,3-bdc)6(H2O)412H2O (1,3-bdc = isophthalate),

    is another framework formed of a CoOCo connected Co7cluster and these MOPs are connected into a high-symmetry

    (R3c) system by the isophthalate.171 Water molecules occupy

    the space within the lattice and single-crystal-to-single-crystal

    transformation is demonstrated after removal of the water

    providing a void space (10 A radius and 4.5 A aperture) of

    22% of the total volume. The Co7 cluster (Fig. 6 (II)) has an

    interesting topology where all the cobalt adopt octahedral

    geometry in which four of them are edge-sharing forming a

    plane and the other three are vertex-sharing with them as well as

    between themselves. Each cluster has six neighbours. Analysis

    of the magnetic susceptibility gave a Curie constant of

    2.93 cm3 K mol1 Co and Weiss constant of49 K. A plot of

    the effective momentvs. temperature indicates a ferrimagnetic

    behaviour. A possible coupling mechanism for a ferrimagnetic

    arrangement is presented. Interestingly, ac-susceptibilities at

    different frequencies indicate a single-molecule-magnet

    behaviour with a blocking at around 6 K. The dehydrated

    compound behaves as a paramagnet.

    So far, the experimental results have established some

    general trends in the pairwise magnetic interaction between

    nearest-neighbour cobalt(II), whereby one-oxygen atom

    bridges (vertex-sharing) generate antiferromagnetic inter-

    action while two-oxygen bridges (edge-sharing) give rise to

    ferromagnetic ones. In addition, it is observed that one, two or

    three-atom bridges through carboxylate are weak interactions

    and can be either ferromagnetic as in the case when the mode

    of coordination is synanti or antiferromagnetic if they are

    synsyn. In contrast, when there are four OCO bridges as in

    a paddlewheel complex, the interaction can be large and

    antiferromagnetic if the structure is regular but it can become

    ferromagnetic if there are severe distortions.

    4. Chains

    Developing through to chains and ladders we observe the same

    connections between the cobalt centres and therefore the

    general trends, remarked above, for the nearest-neighbour

    magnetic exchange interactions can be considered valid. As

    for clusters where well-separated ones with a resultant moment

    can behave as single-molecule-magnet, for chains single-chain-

    magnetism has been observed as a result of the high

    anisotropy of cobalt and consequently, realising one-dimensional

    Ising systems following Glauber dynamics.172 We will follow

    as above by describing the results from the simpler to the more

    complex systems, as there are many fascinating examples of

    chain compounds in the literature.

    The doubly carboxylate bridged chain of five-coordinated

    cobalt in Co(2,5-dibromoterephthalate)py (Fig. 7 (I)) is obtained

    hydrothermally from cobalt chloride and dibromoterephthalic

    acid neutralised with pyridine.126 It behaves as a paramagnet

    with C = 2.76 cm3 K mol1 Co and Y = 14.9(6) K.

    A similar conclusion was obtained for the single carboxylate

    bridged chain in Co2(mpda)(H2O)6H2O (Fig. 7 (II)),

    mpda = 1,2,3,4-benzenetetracarboxylate.173 The saturation

    magnetization at 2 K is 2.35 mB. Similarly, a simple chain of

    octahedra is formed by a combination of a one-atom (O)

    and a three-atom (OCO) bridge which are separated by very

    bulky ligand in the compound, Co2(2,5-diphenylterephthalate) 2-

    (H2O)2(Fig. 7 (III)).126 The susceptibility (C= 3.12 cm3 K mol1

    Co and Y = 28.2 K) suggests weak antiferromagnetic

    coupling within the chain. A similar conclusion was reported

    for {[Co(dpyo)(1,4-bdc)(H2O)2][Co(H2O)6](1,4-bdc)H2O}

    (Fig. 7 (IV)), dpyo = 4,4 0-bipyridyl N,N0-oxide, by Manna

    et al.174 A closely related chain was observed for the trimesate

    containing compound K[Co3(1,3,5-btc)(1,3,5-Hbtc)2]5H2O

    (Fig. 7 (V)) where the octahedra were found to be more

    regular.175 The CurieWeiss fit of the susceptibility data gave

    C= 3.1 cm3 K mol1 Co andY= 0 K; indicating the nearest-

    neighbour interaction may be ferromagnetic. However,

    replacing the single-atom oxygen bridge by that of a nitrogen

    atom from azide, as has been reported by Gao et al. for

    ((CH3)2NH2)[M(N3)2(HCOO)],176

    M = Co or Fe, the isolated

    chain is obtained. These compounds exhibit metamagnetism

    because of the strong intrachain ferromagnetic and weak

    interchain antiferromagnetic couplings. The latter may be

    due to pp interaction between the azides of neighbouring

    Fig. 7 Structures of single-strand chains with different modes of

    connection.

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    chains. Nataraj et al. reported a low-dimensional magnetic

    behaviour for the edge- and vertex-sharing chain of cobalt,

    (piperazinium)[Co4(HPO3)2(ox)3].177

    Two simple chain compounds of formula, Co(PhCOO)2, are

    formed with the benzene ring of the benzoate isolating the

    chains magnetically from each other.136,178 They are composed

    of alternating octahedra and tetrahedra cobalt centres bridged

    by one oxygen atom and one carboxylate (Fig. 7 (VI)). The

    chain is therefore zigzag in nature. While the orthorhombic

    (Pcab) modification is reported to be a long-range ordered

    ferromagnet with a Curie temperature of 3.7 K, the monoclinic

    (C2/c) modification remains paramagnetic to very low

    temperature and become a SCM below 0.6 K. Both have very

    anisotropic susceptibilities. For the former the easy axis is not

    parallel to the chain axis but for the latter it is parallel.

    However, there is no isothermal magnetization of the ortho-

    rhombic phase to justify the ferromagnetism. If the moments

    within the chain are antiferromagnetically aligned and all the

    chains are oriented in the same direction, a ferrimagnet will

    be most likely due to the difference in g-values. There seems to

    be no structural difference within the chain to explain the

    difference in magnetism.

    Co(4,40-bpdc)(H2O)2H2O, 4,40-bpdc = 4,40-biphenyldi-

    carboxylate, is the only one of the MOFs to have a linear

    edge-sharing chain (Fig. 7 (VII)).62 The connection at the edge

    is via two oxygen atoms of water molecules while one of the

    carboxylate group bridges nearest-neighbour cobalt and the

    other is hydrogen-bonded to the coordinating water molecules

    of adjacent chains. The nearest-neighbour interaction was

    found to be ferromagnetic (Y = +26 K) and an antiferro-

    magnetic ordering is observed at 5.5 K which was confirmed

    by heat capacity measurements.179 A metamagnetic transition

    is observed at 2 K with a critical field of 500 Oe. This kind of

    chain, but without the bridging carboxylate, is found in mineral

    derivatives such as natrochalcite, NaCo2(H3O2)(MoO4)2,

    and adamite, Co2(OH)PO4,122,123 where neutron diffraction

    studies have shown that the moments are indeed parallel to the

    chain axis in both cases and the long-range ordering is

    antiferromagnetic due to the presence of antiferromagnetic

    exchange pathways between chains.

    There are three known compounds with zigzag chain of

    edge-sharing octahedra, namely M(1,4-napdc) (Fig. 7 (VIII))

    (M = Co or Mn; 1,4-napdc = napthalene-1,4-dicarboxylate),170

    M2(dobdc)(H2O)28H2O (Fig. 7 (IX)) (M = Co, Ni or Zn;

    dobdc = 2,5-dioxyterephthalate)181,182 and their dehydrated

    forms (Fig. 7 (X)) and M2(pm) (Fig. 7 (XI)) (M = Co, Mn or

    Fe; pm = 1,2,4,5-benzenetetracarboxylate).63,183,184 The first

    consists of pair-wise zigzag chains which are well separated by

    the bulky naphthalene and for the second the zigzag chains

    have a periodicity of three octahedra and are also separated

    form each other by the benzene ring. In contrast, the third has

    a dimer periodicity and the chains are connected by OCO

    bridges to give a 2D-network which are separated by the

    benzene. These slight differences, though subtle, exert major

    differences in the magnetic properties. For Co(1,4-napdc) and

    Co2(pm) the CurieWeiss fit of the high-temperature data gave

    positive Weiss constants of +27 and +16 K, respectively. On

    the other hand that of Co2(dobdc)(H2O)28H2O is negative

    (6 K). All these values suggest that the exchanges within the

    chains in each of these compounds are ferromagnetic.

    However, due to transverse antiferromagnetic coupling

    between them, long-range antiferromagnetic order sets in at

    5.5, 8 and 16 K, respectively. However, in each case a field high

    enough to overcome the transverse coupling energy reverses all

    the moments to a ferromagnetic state and the compounds then

    exhibit hysteresis. The critical metamagnetic fields are

    quite different, 250 Oe for Co(1,4-napdc), 430 kOe for

    Co2(dobdc)(H2O)28H2O and 1400 Oe for Co2(pm). The large

    variation in critical field does not scale with the interchain

    distance as one may expect. Most unexpectedly, the

    ac-susceptibility of Co(1,4-napdc) and Co2(pm) shows the

    presence of both the real and the imaginary components. A

    spontaneous magnetization was confirmed for Co2(pm) by

    zero-field and field-cooled measurements in a field of 1 Oe

    which demonstrated the presence of a canted state at 13 K

    below the collinear Ne el state at 16 K (Fig. 8). The lack of such

    measurements for the other two compounds limits a full

    comparison. Heat capacity measurements for Co2(pm) esti-

    mates that 60% of the entropy is found below the Ne el

    temperature and the effective spin of the cobalt is 1/2.

    Unpublished neutron diffraction data of Co2(pm) in zero field

    show that the moments are perpendicular to the chain and the

    nearest-neighbour chains connected by OCO bridges point

    also in the same direction while those of adjacent layers are

    antiparallel.124 However, in a field of 40 kOe all the moments

    Fig. 8 ZFCFC magnetization (top) and isothermal magnetization at

    different temperatures in the three regions of the phase diagram

    (bottom) of Co2(pm).

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    are parallel to one another and points perpendicular to the

    chain axis. This is as expected from the observed saturation

    moment of a ferromagnet. No LRO has been found for the

    isostructural Mn(1,4-napdc) while Ne el transitions are

    observed for Mn2(pm) (18 K) and Fe2(pm) (26 K). There are

    no magnetic data for Ni2(dobdc)(H2O)28H2O. It is also to

    be noted that Co2(dobdc)(H2O)28H2O can be reversibly

    dehydrated/rehydrated without loss of crystallinity and gases

    such as hydrogen and carbon dioxide have been loaded in the

    channels. Again it will be of interest to study the dehydrated

    Co2(dobdc) which now has the cobalt in square-pyramidal

    coordination geometry and also the absence of any exchanges

    through hydrogen-bonds.

    Co2Na(4-cpa)2(m3-OH)(H2O) (Fig. 7 (XII)) (4-cpa = 4-carboxy-

    phenoxyacetate) was obtained hydrothermally and it is

    constructed of zigzag chains of edge-sharing octahedra.

    These chains are separated by the sodium cations and the

    organic ligands.185 The analysis of the high temperature

    dc-susceptibility data gave C = 3.61 cm3 K mol1 Co and

    Y= 56 K. At low temperature blocking of the moments was

    observed which gave a clear ZFCFC bifurcation very close to

    the blocking temperature of 4 K and also the magnetization

    attained almost the saturation value. Field dependent suscept-

    ibility is encountered well above the blocking temperature. A

    minimum is wT was interpreted as due to ferrimagnetic

    behaviour. Most interestingly, the ac-susceptibility at different

    frequencies clearly exhibits slow relaxation effect. The

    relaxation time was obtained from the Arrhenius law

    t(T) = t0exp(2DE/kBT) with t0 = 2.8 1010 s and

    DE/kB = 106 K. A constricted hysteresis loop is observed at

    2 K with coercive field of ca. 6 kOe and a saturation

    magnetization at 70 kOe of 2.88 mB consistent with a non-

    compensated resultant moment within the chain.

    Kumagaiet al. observed chains of mixed edge- and vertex-

    sharing octahedra within the isostructural compound

    M3(1,3,5-chtc)2(m-H2O)2(H2O)25H2O (Fig. 7 (XIII)) (M =

    Co, Ni), where 1,3,5-chtc is the flexible cis,cis-1,3,5-cyclo-

    hexanetricarboxylate.186 The chains consist of trinuclear motifs

    of pseudo-octahedra linked throughm-OH2and m-carboxylate.

    The temperature dependence of the magnetic susceptibilities

    (Fig. 9) indicates dominant antiferromagnetic interaction within

    the chain of the cobalt complex (C = 2.9 cm3 K mol1 Co;

    Y= 27 K) tending towards a ferrimagnetic alignment at low

    temperatures due to the uncompensated moment with two of

    one kind and one of the other. For the nickel complex the

    interaction is ferromagnetic (C= 1.35 cm3 K mol1 Co;Y= 6

    K) with a possible antiferromagnetic order below 5 K.

    Zheng et al. obtained a layered structure consisting of

    magnetically isolated chains of paddlewheels connected

    by 1,2-cyclohexanedicarboxylate in CoII(trans-1,2-chdc)

    (Fig. 7 (XIV)) where the dimers are connected by edge-sharing

    viathe oxygen of the carboxylate.187 This mode of connection

    is classified as flat-ribbon for the copper carboxylate

    derivatives.128,129 The inter-dimer CoOCo angles are ca.

    1001 and the octahedra are clearly distorted with two short,

    two intermediate and two elongated CoO distances. These

    distortions are known to affect the magnetic exchange within

    the dimers. Most interestingly CoII(trans-1,2-chdc) was

    found to display a single-chain-magnetic behaviour at low

    temperatures. The susceptibility data above 30 K are

    unexpected, Curie constant of C = 2.83 cm3 K mol1 Co

    and Weiss constant of +15.87 K, fit well to a ferromagneti-

    cally coupled alternating chain (S = 3/2) with intrachain

    J1 = +11.51 K, J2 = +3.95 K and a mean-field inter-chain

    J0 = 0.01 K. Considerable anisotropy was shown by

    the measurement of the susceptibility on a single crystal to

    demonstrate the presence of an Ising one-dimensional ferro-

    magnetic chain. Consequently, a SCM behaviour was realized

    as demonstrated by the frequency-dependent ac-susceptibility

    around the blocking temperature of 6 K. From the Arrhenius

    plot, two regimes were identified where the relaxation times

    are 5.1 1011 and 5.5 108 s for the high- and low-

    temperature regions, respectively, and two different corres-

    ponding barriers (DE/kB = 80.9 and DE/kB = 50.2 K). A

    hysteresis loop with a constriction at zero-field was observed at

    several temperatures.

    More complexities in the chain-structures are brought about

    by the different modes of connection and these have sometimes

    been described as ribbons or strips. The following

    section details some of these compounds. A 3D-network

    Co3(bime)2(m3-OH)2(HO-BDC)2 (Fig. 10 (XV)), bime = 1,2-

    bis(imidazol-1-yl)ethane, HO-BDC = 5-hydroxyisophthalate,

    consisting of chains of alternate edge-sharing octahedra and

    edge-sharing five-coordinated cobalt dimers separated by the

    ligands.188 This fully edge-sharing chain behaves as a ferri-

    magnet. From ac-susceptibility measurements using a range of

    oscillating frequencies substantial dependence was observed

    demonstrating a single-chain-magnetic behaviour. The

    hysteresis loop is quite wide (22 kOe at 1.77 K) and the

    saturation magnetization of 2.35 mB is consistent with

    one cobalt resultant moment in a ferrimagnetic state.

    Staying with chains of edge-sharing octahedra,

    Co3(OH)2(C4O4)3H2O (Fig. 10 (XVI)) contains a strip

    segment of a brucite layer.189,190 These are connected to each

    other by the squarate dianion that provide four-atom bridges

    (OCCO) between the cobalt. Due to the sharing of three edges

    at each hydroxide centre the chain is strictly flat. The 3D

    structure contains channels occupied by three water molecules

    per formula unit and these can be removed and reinserted

    repeatedly without affecting the framework as has been shown

    Fig. 9 Temperature dependence of wT for M3(1,3,5-chtc)2-

    (m-H2O)2(H2O)25H2O, M = Co (blue), Ni (red).186

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    by in situ single-crystal crystallography (Fig. 11). Analysis of

    the susceptibilities of the hydrated, dehydrated and

    rehydrated forms gave C= 3.32 0.02 cm3 K mol1 Co and

    Y = +0.2, +2.7 and 0.0 K, respectively, suggesting ferro-

    magnetically coupled cobalt within the chain. The virgin sample

    orders as a linear antiferromagnet at 8 K and a canting is

    observed at 6 K associated with the bifurcation seen in the

    ZFCFC measurements. Upon dehydration the sample orders

    as a ferromagnet at 8 K (Fig. 12). Ac-susceptibilities and heat

    capacity confirm the magnetic ordering. The original magnetic

    state is regained upon rehydration. Heat capacity confirms the

    LRO and the lack of frequency-dependent ac-susceptibility

    eliminates the possibility of SCM behaviour. The nickel

    analogue is an antiferromagnet below 7.4 K.

    Among the most abundant of linear chains within MOFs is

    the edge- and vertex-sharing strip of a [110] layer of a rutile

    (Fig. 10 (XVIIXIX)) having the general formula,

    M3(OH)2(dicarboxylate)2(H2O)4nH2O. It is found for several

    metals (Co, Ni, Mn and Zn) and is bridged by several

    dicarboxylate, including fumarate, both cis- and trans-1,4-

    cyclohexanedicarboxylate and 4,40-biphenyldicarbarboxy-

    late.108,125,191194 For nickel compounds all the sites adopt

    octahedral coordination but for cobalt the edge-sharing pair

    can be either octahedral or square-pyramidal while for zinc

    they are tetrahedral. The simplest case is when the cobalt

    coordination are all octahedral thus the chain is very regular,

    though there is a slight bend in the chains due to the m3-OH.

    The dicarboxylate connects these chains into three-dimensional

    structures and in some cases water molecules occupy the space

    (Fig. 13). The magnetism in most cases, cobalt and nickel, is

    dominated by antiferromagnetic interaction while the ferro-

    magnetic interaction between the edge-sharing pairs are not

    detected in the CurieWeiss analyses. For cobalt and nickel

    the chains are ferrimagnetic and this is seen as a prominent

    minimum in thewT vs.Tplot. However, at temperatures below

    the minima the moments are saturated at a certain tempera-

    ture, for example for the fumarate it is 13 K (Co) and 6 K (Ni)

    and for cis-1,4-chdc (Fig. 10 (XVII)) it is 10.2 K (Co) and

    2.1 K (Ni). The magnetic behaviour of the nickel compounds

    behaves in an expected way as for classical ferrimagnets but

    that of the cobalt compounds does not. For example the

    ZFCFC measurements of the cobalt fumarate compound

    shows a weak spontaneous magnetization at the Ne el

    transition while that of 1,4-chdc behaves in a similar way as

    that of Co2(pm) discussed above, where the collinear state is

    established at 10.2 K and a canting takes place at 9.3 K.193,63

    Temperature and field dependence magnetization measure-

    ments on powders are quite confusing while those on one

    aligned single crystal along the three crystallographic axes

    suggest a magnetic easy-axis perpendicular to the

    Fig. 11 Structure of Co3(OH)2(C4O4)3H2O showing the squarate

    connected brucite strips with the hydrogen-bonded water molecules

    within the channels (yellow).

    Fig. 12 In situfield-cooling magnetization of Co3(OH)2(C4O4)3H2O

    in its virgin, dehydrated and rehydrated forms.

    Fig. 10 Structures of multiple-strand chains with different modes of

    connection.

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    crystallographic chain-axis and very unusual metamagnetic

    behaviour along the easy axis whereas normal ferromagnetic-

    like behaviour is shown perpendicular to it (Fig. 14). Further

    work is in progress to elucidate the origin of this character,

    which has never been encountered in the field of magnetism.

    Another interesting aspect of this structure is that the water

    molecules can be removed upon heating and in the case of the

    nickel compound it was found to reversibly transformed from

    a ferrimagnet at TC of 2.1 K for the virgin sample to a

    ferromagnet at TC of 4.5 K (Fig. 15).192 Tong et al. made the

    corresponding compound containing 3,4-pyridyldicarboxylate,

    Co3(OH)2(3,4-pydc)2(H2O)2 (Fig. 10 (XVIII)), where the

    structure is analogous except for the coordination of the

    pyridine to the cobalt taking the position of one water

    molecule.125 There is no space to accommodate any solvent.

    The magnetic behaviour was described as a ferrimagnet with

    TCofca.15 K. The hysteresis loop for a powdered sample was

    constricted at zero field and may be a result of different

    orientations of the crystallites.

    Co3(OH)2(btca)23.7H2O and its dehydrated phase

    Co3(OH)2(btca)2 (Fig. 10 (XIX)), btca = benzotriazole-5-

    carboxylate, were reported to have the sra network

    topology (analogous to that of SrAl2).195 It contains chains

    where edge-sharing pairs of two square-pyramids are

    vertex-sharing with an octahedral cobalt and the hydroxide

    functioning as am3-bridge as in the examples above. The Weiss

    constant is quite high (58 K) but negative suggesting the

    antiferromagnetic exchange dominates over the ferromagnetic

    one. The hydrated phase is reported to order magnetically at 8 K

    as a ferrimagnet and single-chain-magnet-like behavior is observed

    by ac-susceptibility while the dehydrated phase shows field-

    induced metamagnetism from a compensated antiferromagnet

    (TN= 4.5 K) to a ferrimagnet. The coexistence of long-range

    ferrimagnetism and single-chain-magnetism appears to be

    contradictory, as the latter is not supposed to be ordered at all.

    However, the frequency dependence of the ac-susceptibility

    takes place below the ordering temperature of 8 K and so

    it is most likely due to domain effects rather than SCM

    characteristics.

    Pink needle crystals of Co4(phcinna)6(OH)2(H2O)42H2O

    (Fig. 10 (XX)), phcinna = a-phenylcinnamate, shows the

    formation of chains consisting of alternate orthogonal edge-

    sharing pairs where the adjacent pairs are connected at the

    vertices by a hydroxide and carboxylate oxygen atoms.196 It is

    a diagonal strip of a [110] rutile layer. These chains are not

    connected by bonds and the minimum distance between the

    centre of one chain and its neighbours is 14 A . It exhibits a

    long-range antiferromagnetic ordering at 5.5 K. Due to the

    isolation of the chain with its neighbours a very small field of

    25 Oe is enough to reverse the moments. However, the

    moment at saturation is only a third of that expected if the

    moments of all the carriers were aligned parallel to the field.

    Co3(2,4-pydc)2(m3-OH)25H2O and Co3(2,4-pydc)2(m3-OH)2-

    (H2O)7H2O (Fig. 10 (XXI)), 2,4-pydc = pyridine-2,4-

    dicarboxylate, have been hydrothermally synthesized and

    shown to have 3D frameworks with hydroxide-bridged metal

    chains.197 The chain is constructed by vertex-sharing quad-

    rangles formed via edge-sharing triangles. Magnetic studies

    show that the former exhibits spin-canted antiferromagnetism

    and a field-induced spin-flop transition while the latter behaves

    as a normal antiferromagnet. The magnetic properties are

    largely unchanged by removal of the water molecules from

    Fig. 14 Temperature dependence of the susceptibility and isothermal

    magnetization of Co3(OH)2(cis-1,4-chdc)2(H2O)42H2O along its three

    crystallographic axes. See Fig. 13 for referencing the orientations.

    Fig. 13 Structure of Co3(OH)2(cis-1,4-chdc)2(H2O)42H2O showing

    the connected rutile strips with the hydrogen-bonded water molecules

    within the channels (yellow).

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    the channels. Li et al. prepared Co3(2,4-pydc)2(m3-CH3O)0.5-

    (m3-OH)1.5(H2O)4.5H2O and solved its crystal structure. It

    contains a 3D-structure with a modified arrangement of the

    octahedra within the chains.198 There are tetrameric edge-

    sharing units connected at the vertex with an edge-sharing

    dimer. It is to be noted that part of the hydroxide is replaced

    by methoxide. If the reaction is carried out in ethanol the fully

    hydroxide substituted complex is obtained. The magnetic

    properties indicate ordering as an antiferromagnet below

    6 K. A slightly more complex chain structure is found in

    Co5(m3-OH)2(pm)2(bpp) (Fig. 10 (XXII)), bpp is 1,3-bis(4-

    pyridyl)propane, where three octahedral cobalt centres share

    edges and these are then bridged by two five-coordinated

    cobalt centres.199 These chains are bridged by the pyromellitate

    and the bending bpp ligand to give a 3D-framework. In an

    applied field less than 3.5 kOe, it behaves as a compensated

    antiferromagnet and in fields exceeding the metamagnetic

    critical field of 4 kOe a ferrimagnetic alignment is found. The

    saturation moment amounts to that of one cobalt (2.4 mB). It

    suggests that the ferrimagnetism is due to the three octahedral

    cobalt atoms having their moments parallel while they are

    antiparallel to those of the two five-coordinated cobalt centres. The

    Ne el temperature is 12 K. Cheetham et al. obtained a cobalt

    succinate, Co7(H2O)3(OH)6(C4H4O4)47H2O (Fig. 10 (XXIII)),

    having a hexamer cluster bridged by a monomer forming a

    chain. No magnetic properties of the complexes are given.200

    The exchange interaction between two paramagnetic centres

    through an oxalate bridged has been of much interest in the past

    and several theoretical and experimental studies have been

    performed to evaluate its magnitude and sign. Many chains and

    layers containing such bridges are known to display long-range

    magnetic ordering. This remains a matter for debate amongst

    experimentalists and theoreticians given that one-dimensional

    magnetic chain should not show long-range magnetic ordering

    at finite temperature.201,202 There are two types of chains that can

    be formed with cobalt octahedra and oxalate bridges while there

    are none made of tetrahedra. The first type is a linear one with the

    oxalate bridges in trans-position and the other is zigzag with

    oxalate in cis-position.174,203217 A whole gamut of ligands is

    known to bond to the remaining two sites of the octahedron.

    For the former (Fig. 16 (XXIV)) the ligands are monodentate

    (water, dipyridylethane, dipyridylethylene, 4,40-bipyridine,

    4,40-bipyridine N-oxide, piperazine, aminopyridine) and for the

    latter (Fig. 16 (XXV)) they are usually chelating (2,2 0-dipyridyl-

    amine, 1,3-propanediol, 3-hydroxypyridine, isoquinoline,

    adenine, purine and oxalate). All the known compounds show

    antiferromagnetic exchange interaction between nearest neigh-

    bours which is characterized by a broad hump in the

    temperature dependence of the susceptibility. In several cases

    the latter has been modelled. The diaquo compound was the

    first to be studied and was found by magnetization, EPR and

    heat capacity measurements as well as neutron scattering to be

    a collinear antiferromagnet below 6.3 K. It was modelled to a

    one-dimensional Ising magnet where the intrachain nearest-

    neighbour exchange is 30 K and the ratio of the interchain to

    intrachain is 0.003. The other linear chain with aminopyridine is a

    canted antiferromagnet at 8 K. In contrast to the linear chains, there

    are more examples of canted antiferromagnets for the zigzag

    compounds,211216 for example those with 1,3-propanediol

    (10.6 K), 4,40-bipy (13 K), 2,20-dipyridylamine (7.5 K) and oxalate

    (Fig. 16 (XXVI)) in K2Co(ox)2 (37 K). The high transition

    temperature for the latter may be due to the ionic-bonded network

    formed by the potassium and the non-coordinated oxygen

    atoms of the oxalate. It is interesting to note the observation of

    an SCM behaviour for the alternate mixed-metal complex

    [(C12H24O6)K][(C12H24O6)(FC6H4NH3)][Co(H2O)2Cr(ox)3]2where the bulky ions and crown ether sits in between layers

    consisting of hydrogen-bonded zigzag chains.217

    Co4(pico)4(4,40-bpy)3(H2O)22H2O (Fig. 16 (XXVII)), pico

    = hydroxypicolinate, is closely related to the oxalato-bridged

    chain discussed above except that one of the arms is a five-

    membered ring chelate as opposed to four-membered.218 The

    chains are bridged by the 4,4 0-bpy into two types of layers

    which are interpenetrated to give the 3D-structure. The chains

    are magnetically isolated from each other. The magnetic

    properties are similar to those of Co2(pm) where a very sharp

    drop in susceptibility is observed at 3.5 K due to collinear

    antiferromagnetic ordering.63 Although the canting has not

    been observed, the ac-susceptibility suggests there is a

    spontaneous magnetization. The isothermal magnetization

    establishes a metamagnetic critical field of 160 Oe and shows

    Fig. 15 Temperature dependence of the susceptibility of Ni3(OH)2-

    (cis-1,4-chdc)2(H2O)42H2O in its virgin, dehydrated and rehydratedforms.189

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    a superposition of hysteresis loops analogous to that ofCo2(pm) where the saturation magnetization is not reached

    even in 70 kOe at 2 K. Using hydroxyphosphonoacetic acid

    (pa) neutralized with ethylenediamine (enH2)[Co2(pa)2(H2O)2]

    was obtained and it contains a similar bridged chain which are

    then connected by the PO3 unit into layers. It behaves as a

    canted-antiferromagnet below 3.3 K.219

    5. Ladders

    Well-isolated ladder structures in the MOF family are very

    rare. There are three known systems, Na2Co2(ox)3(H2O)2(Fig. 17 (I)), Co

    3(2,5-pydc)

    2(m

    3-OH)

    2(OH

    2)2

    (Fig. 17 (II)),

    pydc = pyridinedicarboxylate, and Co(C8H8O4) (Fig. 17 (III)),

    that can be classified in this category.220222 Magnetic studies

    are available for only the first two. Na2Co2(ox)3(H2O)2 has

    one oxalate forming the rung and a OCO bridge for the legs.

    These two-leg ladders are separated by sodium cations.

    Co3(2,5-pydc)2(m3-OH)2(OH2)2 has MOM legs and OCO

    rungs. The legs are closely related to the Co3(OH)2rutile strip

    presented above except for the fact that two of the octahedra

    are now replaced by distorted five-coordinated cobalt atoms.

    All the carboxylate oxygen and the pyridine nitrogen atoms of

    the 2,5-pyridinedicarboxylate are involved in the coordination

    to the cobalt atoms. For the third example, Co(C8H8O4), the

    carboxylate groups of 4-cyclohexene-1,2-dicarboxylate forms

    the OCO connections of the legs and rungs of the ladder.

    The first reported susceptibility of Na2Co2(ox)3(H2O)2exhibits a broad maximum (21 K) which was associated with

    short-range correlations, and a phase transition to a long-

    range ordered Ne el state at 9 K.220 Above TN the data are

    fitted to several models which suggest the intra-ladder

    couplings are of the order 2.83.5 K and the inter-ladder

    coupling is approximately 0.14 K. Later magnetic measurements

    eliminate the presence of long-range magnetic ordering

    (Fig. 18) and specially those on aligned single crystals were

    used to fit the low-temperature data to a S= 1/2 spin-ladder

    model giving a gap of 16 K for H8 and 13 K for H>.223,224

    There was no anomaly in the ZFCFC measurements and the

    two superpose for the whole temperature range (2300 K). A

    broad hump atB10 K was observed in the heat-capacity data

    which was fitted using the same model to give a gap of 20 K.

    Doping the crystals with 10% Zn the broad maximum in the

    susceptibility is still present while a very clear bifurcation at

    10 K in the ZFCFC magnetization in 100 Oe was interpreted

    as being due to spin-glass behaviour.225 The analogous nickel

    and iron compounds are also known and their magnetic

    properties reported.

    The magnetism of Co3(2,5-pydc)2(m3-OH)2(OH2)2 is more

    complex but has some similarity to that of the rutile Co3(OH)2chains discussed above.

    221A long-range antiferromagnetic

    state with a small canting is developed at 30 K in low applied

    fields which corresponds to antiferromagnetically coupled

    ferrimagnetic chains. In the absence of a neutron diffraction

    study one cannot be certain if the antiferromagnetism is

    between individual legs within a ladder or between ladders.

    Several steps were observed in the isothermal magnetization

    measured on a polycrystalline sample and has been described

    as multiple bistability. At fields higher than the metamagnetic

    Fig. 17 Structures of three known ladders.

    Fig. 16 Structures of oxalate-bridged chains and one with hydroxy-

    picolinate bridge.

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    critical field of 15 kOe, the moments are reversed. For such a

    high critical field compared to those described above it is quite

    likely that the reversal of moment is taking place within a

    ladder. From the saturation value of 3 mB mol1, a ferri-

    magnetic state is the final state. All the behaviour is similar tothe rutile chains described earlier. The interesting point is that

    the transition temperature is 23 times that of single-strand

    chains.

    6. Layers

    The most condensed of the layers in terms of MOM con-

    nections is that of brucite. There are no example of a purely

    brucite layer in the MOFs. It does exist for Co(OH)2 and for

    two others, Co2(OH)3NO3which contains a coordinated NO3in

    the place of one OH and Co5

    (OH)6

    (SO4

    )2

    (H2O)

    4(Fig. 19 (I))

    which is pillared by OSO3Co(H2O)4O3SO at the missing

    OH sites.226231 The interlayer distances are therefore

    increased from 4.7 A for Co(OH)2to 6.95 A for Co2(OH)3NO3and 10.3 A for Co5(OH)6(SO4)2(H2O)4. Modification of the

    brucite layer is observed with periodic vacancies in the layer

    where each vacant position is then replaced by tetrahedral

    units above and below the layer. The number and disposition

    of the tetrahedra vary from case to case. Only four such

    compounds, Co5(OH)8(trans-1,4-chdc)4H2O (Fig. 19 (II)),232

    [Co7(OH)12(H2O)2](C2H4(SO3)2) (Fig. 19 (III)),233 and

    Co8(OH)12(SO4)2(diamine)nH2O (Fig. 19 (IV)),234,235 where

    n = 3 for ethylenediamine or 1 for DABCO (C6N2H12) have

    been fully characterised by single-crystal X-ray diffraction,

    while a large number are inferred to be isostructural from

    XRPD. Co5(OH)8(trans-1,4-chdc)4H2O has adjacent layers

    bridged by the dicarboxylatevia the apices of the tetrahedral

    units and similarly for Co8(OH)12(SO4)2(diamine)nH2O by

    the diamines. XRPD of both compounds show they can lose

    water of crystallization without loss of crystallinity, and for

    the former in-situ single-crystal diffraction revealed the

    complete structure of the fully dehydrated compound, and

    its reversibility to the original state after exposure to air.232 In

    contrast, [Co7(OH)12(H2O)2](C2H4(SO3)2) has coordinated

    water while the disulfonate sits in the gallery and is hydrogen

    bonded to the layers. It is worth noting that the ratio of

    tetrahedral to octahedral units in the structure may be related

    to the length of the sulfonate.

    The magnetic properties of these layers are quite varied and

    the reason for the difference is logical. First, Co(OH)2 and

    Co2(OH)3NO3are metamagnets with Ne el transitions of 10 1 K

    and critical field at 2 K of less than 1500 Oe.227229,236,237 The

    interpretation is that the cobalt atoms within the layers are

    ferromagnetically coupled and the layers are then anti-

    ferromagnetically coupled. A weak critical field reverses the

    moments to the ferromagnetic state as judged by the satura-

    tion magnetization approaching 5 mB. On the other hand all

    the studies, magnetization at ambient and elevated pressures,

    heat capacity and neutron scattering, indicate that

    Co5(OH)6(SO4)2(H2O)4 has the characteristics of a pure ferro-

    magnet at all fields and the Curie temperature is 14 K.230,231

    Neutron diffraction analysis suggests that the moments of the

    cobalt atoms are in the plane of the layers (Fig. 19 (I)). Further

    analysis confirms the xy nature of the magnetic system.

    Fig. 19 Structures of structurally characterised layered cobalt

    hydroxides.

    Fig. 18 Temperature dependence of the magnet