Abstract
In this chapter, we initially give an overview of magnetism and briefly discuss the advantages of “organic ferromagnetism.” Next, we review the many rules and indices used for predicting ferromagnetism that are proposed in the frameworks of molecular orbital methods and valence-bond theory . We introduce two types of strategies for designing ferromagnetic systems: “inter-molecular spin alignment (molecular magnets)” and “intra-molecular spin alignment (high-spin polymers).” Finally, we mention the theoretical approaches used to understand and predict magnetism in larger systems, namely, statistical treatment using the Ising model and quantum chemistry calculations for large systems.
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Rajca, A., Wongsriratanakul, J., Rajca, S.: Magnetic ordering in an organic polymer. Science 294, 1503–1505 (2001)
Rajca, A.: From high-spin organic molecules to organic polymers with magnetic ordering. Chem. Eur. J. 8, 4834–4841 (2002)
Rajca, A., Wongsriratanakul, J., Rajca, S.: Organic spin clusters: macrocyclic-macrocyclic polyarylmethyl polyradicals with very high spin S = 5-13. J. Am. Chem. Soc. 126, 6608–6626 (2004)
Rajca, S., Rajca, A., Wongsriratanakul, J., Butler, P., Choi, S.-M.: Organic spin clusters. A dendritic-macrocyclic poly(arylmethyl) polyradical with very high spin of S = 10 and Its derivatives: synthesis, magnetic studies, and small-angle neutron scattering. J. Am. Chem. Soc. 126, 6972–6986 (2004)
Matsushita, M.M., Kawakami, H., Sugawara, T., Ogata, M.: Molecule-based system with coexisting conductivity and magnetism and without magnetic inorganic ions. Phys. Rev. B 77, 195208 (2008)
Komatsu, H., Matsushita, M.M., Yamamura, S., Sugawara, Y., Suzuki, K., Sugawara, T.: Influence of magnetic field upon the conductance of a unicomponent crystal of a tetrathiafulvalene-based nitronyl nitroxide. J. Am. Chem. Soc. 132, 4528–4529 (2010)
Nakahara, K., Iwasa, S., Satoh, M., Morioka, Y., Iriyama, J., Suguro, M., Hasegawa, E.: Rechargeable batteries with organic radical cathodes. Chem. Phys. Lett. 359, 351–354 (2002)
Suga, T., Pu, Y.-J., Kasatori, S., Nishide, H.: Cathode- and anode-active poly(nitroxylstyrene)s for rechargeable batteries: p- and n-type redox switching via substituent effects. Macromolecules 40, 3167–3173 (2007)
Nishide, H., Oyaizu, K.: Toward flexible batteries. Science 319, 737–738 (2008)
Janoschka, T., Hager, M.D., Schubert, U.S.: Powering up the future: radical polymers for battery applications. Adv. Mater. 24, 6397–6409 (2012)
Morita, Y., Nishida, S., Murata, T., Moriguchi, M., Ueda, A., Satoh, M., Arifuku, K., Sato, K., Takui, T.: Organic tailored batteries materials using stable open-shell molecules with degenerate frontier orbitals. Nat. Mater. 10, 947–951 (2011)
Ferlay, S., Mallah, T., Ouahes, R., Veillet, P., Verdaguer, M.: A room-temperature organometallic magnet based on Prussian blue. Nature 378, 701–703 (1995)
Ishikawa, N., Sugita, M., Ishikawa, T., Koshihara, S.-Y., Kaizu, Y.: Lanthanide double-decker complexes functioning as magnets at the single-molecular level. J. Am. Chem. Soc. 125, 8694–8695 (2003)
Osa, S., Kido, T., Matsumoto, N., Re, N., Pochaba, A., Mrozinski, J.: A tetranuclear 3d-4f single molecule magnet:[CuIILTbIII(hfac)2]2. J. Am. Chem. Soc. 126, 420–421 (2004)
Michaut, C., Ouahab, L., Bergerat, P., Kahn, O., Bousseksou, A.: Structure and ferromagnetic interactions in open-shell supramolecular assemblies constructed from radical cations and hexacyanometallate anions. J. Am. Chem. Soc. 118, 3610–3616 (1996)
Kahn, O.: Chemistry and physics of supramolecular magnetic materials. Acc. Chem. Res. 33, 647–657 (2000)
Akutagawa, T., Shitagami, K., Aonuma, M., Noro, S.-I., Nakamura, T.: Ferromagnetic and antiferromagnetic coupling of [Ni(dmit)2]− anion layers induced by Cs +2 (benzo[18]crown-6)3 supramolecule. Inorg. Chem. 48, 4454–4461 (2009)
Tanaka, K., Tengeiji, A., Kato, T., Toyama, N., Shionoya, M.: A discrete self-assembled metal array in artificial DNA. Science 299, 1212–1213 (2003)
Matsui, T., Miyachi, H., Sato, T., Shigeta, Y., Hirao, K.: Structural origin of copper ion containing artificial DNA: a density functional study. J. Phys. Chem. B 112, 16960–16965 (2008)
Itoh, K.: Electron spin resonance of an aromatic hydrocarbon in its quintet ground state. Chem. Phys. Lett. 1, 235–238 (1967)
Mataga, N.: Possible “ferromagnetic states” of some hypothetical hydrocarbons. Theoret. Chim. Acta (Berl.) 10, 372–376 (1968)
Itoh, K.: Electronic structures of aromatic hydrocarbons with high spin multiplicities in the electronic ground state. Pure Appl. Chem. 50, 1251–1259 (1978)
Ovchinnikov, A.A.: Multiplicity of the ground state of large alternant organic molecules with conjugated bonds (Do organic ferromagnetics exist?). Theoret. Chim. Acta (Berl.) 47, 297–304 (1978)
Tyutyulkov, N., Schuster, P., Polansky, O.: Band structure of nonclassical polymers. Theoret. Chim. Acta (Berl.) 63, 291–304 (1983)
Sugawara, T., Murata, S., Kimura, K., Iwamura, H., Sugawara, Y., Iwasaki, H.: Design of molecular assembly of diphenylcarbenes having ferromagnetic intermolecular interactions. J. Am. Chem. Soc. 107, 5293–5294 (1985)
Sugawara, T., Bandow, S., Kimura, K., Iwamura, H., Itoh, K.: Magnetic behavior of nonet tetracarbene, m-phenylenebis((diphenylmethylen-3-yl)methylene). J. Am. Chem. Soc. 106, 6449–6450 (1984)
Sugawara, T., Bandow, S., Kimura, K., Iwamura, H., Itoh, K.: Magnetic behavior of nonet tetracarbene as a model for one-dimensional organic ferromagnets. J. Am. Chem. Soc. 108, 368–371 (1986)
Teki, Y., Takui, T., Itoh, K., Iwamura, H., Kobayashi, K.: Preparation and ESR detection of a ground-state nonet hydrocarbon as a model for one-dimensional organic ferromagnets. J. Am. Chem. Soc. 108, 2147–2156 (1986)
Izuoka, A., Murata, S., Sugawara, T., Iwamura, H.: Molecular design and model experiments of ferromagnetic intermolecular interaction in the assembly of high-spin organic molecules. Generation and characterization of the spin states of isomeric bis(phenylmethylenyl)[2.2]paracyclophanes. J. Am. Chem. Soc. 109, 2631–2639 (1987)
Yamaguchi, K., Toyoda, Y., Fueno, T.: A generalized MO (GMO) approach to unstable molecules with quasi-degenerate electronic states: ab initio GMO calculations of intramolecular effective exchange integrals and designing of organic magnetic polymers. Synth. Met. 19, 81–86 (1987)
Yamaguchi, K., Toyoda, Y., Nakano, M., Fueno, T.: Ab initio and semiempirical MO calculations of intermolecular effective exchange integrals between organic radicals. Designing of organic ferromagnet, ferrimagnet and ferromagnetic conductors. Synth. Met. 19, 87–92 (1987)
Fujita, I., Teki, Y., Takui, T., Kinoshita, T., Itoh, K., Miko, F., Sawaki, Y., Iwamura, H., Izuoka, A., Sugawara, T.: Design, preparation, and electron spin resonance detection of a ground-state undecet (S = 5) hydrocarbon. J. Am. Chem. Soc. 112, 4074–4075 (1990)
Yamaguchi, K., Namimoto, H., Fueno, T., Nogami, T., Shirota, Y.: Possibilities of organic ferromagnets and ferrimagnets by the use of charge-transfer (CT) complexes with radical substituents. Ab initio MO studies. Chem. Phys. Lett. 166, 408–414 (1990)
Korshak, Y.V., Medvedeva, T.V., Ovchinnikov, A.A., Spector, V.N.: Organic polymer ferromagnet. Nature 326, 370–372 (1987)
Torrance, J.B., Oostra, S., Nazzal, A.: A new, simple model for organic ferromagnetism and the first organic ferromagnet. Synth. Met. 19, 709–714 (1987)
Miller, J.S., Epstein, A.J., Reiff, W.M.: Molecular/organic ferromagnets. Science 240, 40–47 (1988)
Miller, J.S., Epstein, A.J., Reiff, W.M.: Molecular ferromagnets. Acc. Chem. Res. 21, 114–120 (1988)
Miller, J.S., Epstein, A.J., Reiff, W.M.: Ferromagnetic molecular charge-transfer complexes. Chem. Rev. 88, 201–220 (1988)
Ovchinnikov, A.A., Spector, V.N.: Organic ferromagnets. New results. Synth. Met. 27, 615–624 (1988)
Decurtins, S., Gutlich, P., Hasselbach, K., Hauser, A., Spiering, H.: Light-induced excited-spin-state trapping in iron (II) spin-crossover systems. Optical spectroscopic and magnetic susceptibility study. Inorg. Chem. 24, 2174–2178 (1985)
Miller, T.J.E.: Brushless Permanent-Magnet and Reluctance Motor Drives. Oxford University Press, New York (1989)
Matsushita, M., Nakamura, T., Momose, T., Shida, T., Teki, Y., Takui, T., Kinoshita, T., Itoh, K.: Novel organic ions of high-spin state. 2. Determination of the spin multiplicity of the ground state and 1H-ENDOR study of the monoanion of m-phenylenebis (phenylmethylene). J. Am. Chem. Soc. 114, 7470–7475 (1992)
Teki, Y., Fujita, I., Takui, T., Kinoshita, T., Itoh, K.: Topology and spin alignment in a novel organic high-spin molecule, 3, 4′-Bis (phenylmethylene) biphenyl, as studied by ESR and a generalized UHF Hubbard calculation. J. Am. Chem. Soc. 116, 11499–11505 (1994)
Mitani, M., Takano, Y., Yoshioka, Y., Yamaguchi, K.: Density functional study of intramolecular ferromagnetic interaction through m-phenylene coupling unit. III. Possibility of high-spin polymer. J. Chem. Phys. 111, 1309 (1999)
Dietz, F., Tyutyulkov, N.: Photoswitching of the magnetic properties of one-dimensional π-electron systems. Part II. Conjugated polymers with di-hetarylethene and benzylidene-anthrone fragments in the elementary units. Phys. Chem. Chem. Phys. 3, 4600–4605 (2001)
Dietz, F., Tyutyulkov, N.: Organic polymers with indirect magnetic interaction caused by the molecular topology of the elementary units. Chem. Phys. 264, 37–51 (2001)
Matsuoka, F., Yamashita, Y., Kawakami, T., Kitagawa, Y., Yoshioka, Y., Yamaguchi, K.: Theoretical investigation on the magnetic interaction of the tetrathiafulvalene–nitronyl nitroxide stacking model: possibility of organic magnetic metals and magnetic superconductors. Polyhedron 20, 1169–1176 (2001)
Teki, Y., Miyamoto, S., Nakatsuji, M., Miura, Y.: π-Topology and spin alignment utilizing the excited molecular field: Observation of the excited high-spin quartet (S = 3/2) and quintet (S = 2) states on purely organic π-conjugated spin systems. J. Am. Chem. Soc. 123, 294–305 (2001)
Tyutyulkov, N., Staneva, M., Stoyanova, A., Alaminova, D., Olbrich, G., Dietz, F.: Structure and magnetic interaction in organic radical crystals. 6. Spin-transfer crystals: a theoretical study. J. Phys. Chem. B 106, 2901–2909 (2002)
Nakano, M., Kishi, R., Nakagawa, N., Ohta, S., Takahashi, H., Furukawa, S.-I., Kamada, K., Ohta, K., Champagne, B., Botek, E.: Second hyperpolarizabilities (γ) of bisimidazole and bistriazole benzenes: diradical character, charged state, and spin state dependences. J. Phys. Chem. A 110, 4238–4243 (2006)
Minami, T., Ito, S., Nakano, M.: Signature of singlet open-shell character on the optically allowed singlet excitation energy and singlet-triplet energy gap. J. Phys. Chem. A 117, 2000–2006 (2013)
Miller, J.S., Calabrese, J.C., McLean, R.S., Epstein, A.J.: meso-(Tetraphenylporphinato) manganese (III)-tetracyanoethenide, [MnIIITPP]::⊕[TCNE].⊖. A new structure-type linear-chain magnet with a Tc of 18K. Adv. Mater. 4, 498–501 (1992)
Stumpf, H.O., Ouahab, L., Pei, Y., Grandjean, D., Kahn, O.: A molecular-based magnet with a fully interlocked three-dimensional structure. Science 261, 447–447 (1993)
Decurtins, S., Schmalle, H.W., Oswald, H.R., Linden, A., Ensling, J., Gütlich, P., Hauser, A.: A polymeric two-dimensional mixed-metal network. Crystal structure and magnetic properties of {[P(Ph)4][MnCr(ox)3]}. Inorg. Chim. Acta 216, 65–73 (1994)
Matsuda, K., Nakamura, N., Inoue, K., Koga, N., Iwamura, H.: Toward dendritic two-dimensional polycarbenes: syntheses of ‘Starburst’-type nona-and dodecadiazo compounds and magnetic study of their photoproducts. Bull. Chem. Soc. Jpn. 69, 1483–1494 (1996)
Hatlevik, Ø., Buschmann, W.E., Zhang, J., Manson, J.L., Miller, J.S.: Enhancement of the magnetic ordering temperature and air stability of a mixed valent vanadium hexacyanochromate (III) magnet to 99 C (372 K). Adv. Mater. 11, 914–918 (1999)
Boldog, I., Gaspar, A.B., Martinez, V., Pardo-Ibanez, P., Ksenofontov, V., Bhattacharjee, A., Gutlich, P., Real, J.A.: Spin-crossover nanocrystals with magnetic, optical, and structural bistability near room temperature. Angew. Chem. Int. Ed. Engl. 120, 6533–6537 (2008)
Rajca, A.: Organic diradicals and polyradicals: from spin coupling to magnetism? Chem. Rev. 94, 871–893 (1994)
Rajca, A., Rajca, S., Wongsriratanakul, J.: Very high-spin organic polymer: π-conjugated hydrocarbon network with average spin of S ≥ 40. J. Am. Chem. Soc. 121, 6308–6309 (1999)
Rajca, A., Olankitwanit, A., Wang, Y., Boratynski, P.J., Pink, M., Rajca, S.: High-spin S = 2 ground state aminyl tetraradicals. J. Am. Chem. Soc. 135, 18205–18215 (2013)
Gallagher, N.M., Olankitwanit, A., Rajca, A.: High-spin organic molecules. J. Org. Chem. 80, 1291–1298 (2015)
Ciccullo, F., Gallagher, N.M., Geladari, O., Chasse, T., Rajca, A., Casu, M.B.: A derivative of the blatter radical as a potential metal-free magnet for stable thin films and interfaces. ACS Appl. Mater. Interfaces 8, 1805–1812 (2016)
Nishide, H., Kaneko, T., Igarashi, M., Tsuchida, E., Yoshioka, N., Lahti, P.M.: Magnetic characterization and computational modeling of poly (phenylacetylenes) bearing stable radical groups. Macromolecules 27, 3082–3086 (1994)
Nishide, H.: High-spin alignment in π-conjugated polyradicals: a magnetic polymer. Adv. Mater. 7, 937–941 (1995)
Nishide, H., Kaneko, T., Nii, T., Katoh, K., Tsuchida, E., Yamaguchi, K.: Through-bond and long-range ferromagnetic spin alignment in a π-conjugated polyradical with a poly (phenylenevinylene) skeleton. J. Am. Chem. Soc. 117, 548–549 (1995)
Nishide, H., Kaneko, T., Nii, T., Katoh, K., Tsuchida, E., Lahti, P.M.: Poly (phenylenevinylene)-attached phenoxyl radicals: ferromagnetic interaction through planarized and π-conjugated skeletons. J. Am. Chem. Soc. 118, 9695–9704 (1996)
Nishide, H., Miyasaka, M., Tsuchida, E.: Average octet radical polymer: a stable polyphenoxyl with star-shaped π conjugation. Angew. Chem. Int. Ed. 37, 2400–2402 (1998)
Nishide, H., Ozawa, T., Miyasaka, M., Tsuchida, E.: A nanometer-sized high-spin polyradical: Poly (4-phenoxyl-1, 2-phenylenevinylene) planarily extended in a non-Kekulé fashion and its magnetic force microscopic images. J. Am. Chem. Soc. 123, 5942–5946 (2001)
Kaneko, T., Makino, T., Miyaji, H., Teraguchi, M., Aoki, T., Miyasaka, M., Nishide, H.: Ladderlike ferromagnetic spin coupling network on a π-conjugated pendant polyradical. J. Am. Chem. Soc. 125, 3554–3557 (2003)
Michinobu, T., Inui, J., Nishide, H.: m-Phenylene-linked aromatic poly (aminium cationic radical) s: persistent high-spin organic polyradicals. Org. Lett. 5, 2165–2168 (2003)
Nishide, H., Iwasa, S., Pu, Y.-J., Suga, T., Nakahara, K., Satoh, M.: Organic radical battery: nitroxide polymers as a cathode-active material. Electrochim. Acta 50, 827–831 (2004)
Fukuzaki, E., Nishide, H.: Room-temperature high-spin organic single molecule: nanometer-sized and hyperbranched poly [1, 2, (4)-phenylenevinyleneanisylaminium]. J. Am. Chem. Soc. 128, 996–1001 (2006)
Kurata, T., Koshika, K., Kato, F., Kido, J., Nishide, H.: An unpaired electron-based hole-transporting molecule: triarylamine-combined nitroxide radicals. Chem. Commun. 2986–2988 (2007)
Oyaizu, K., Ando, Y., Konishi, H., Nishide, H.: Nernstian adsorbate-like bulk layer of organic radical polymers for high-density charge storage purposes. J. Am. Chem. Soc. 130, 14459–14461 (2008)
Oyaizu, K., Suga, T., Yoshimura, K., Nishide, H.: Synthesis and characterization of radical-bearing polyethers as an electrode-active material for organic secondary batteries. Macromolecules 41, 6646–6652 (2008)
Oyaizu, K., Nishide, H.: Radical polymers for organic electronic devices: a radical departure from conjugated polymers? Adv. Mater. 21, 2339–2344 (2009)
Suga, T., Ohshiro, H., Sugita, S., Oyaizu, K., Nishide, H.: Emerging N-type redox-active radical polymer for a totally organic polymer-based rechargeable battery. Adv. Mater. 21, 1627–1630 (2009)
Suga, T., Sugita, S., Ohshiro, H., Oyaizu, K., Nishide, H.: p- and n-type bipolar redox-active radical polymer: toward totally organic polymer-based rechargeable devices with variable configuration. Adv. Mater. 23, 751–754 (2011)
Fukuzaki, E., Nishide, H.: 2, 6, 10-Tris (dianisylaminium)-3, 7, 11-tris (hexyloxy) triphenylene: a robust quartet molecule at room temperature. Org. Lett. 8, 1835–1838 (2006)
Murata, H., Miyajima, D., Nishide, H.: A high-spin and helical organic polymer: Poly {[4-(dianisylaminium) phenyl] acetylene}. Macromolecules 39, 6331–6335 (2006)
Iwamura, H.: What role has organic chemistry played in the development of molecule-based magnets? Polyhedron 66, 3–14 (2013)
Mayhall, N.J., Head-Gordon, M.: Computational quantum chemistry for multiple-site heisenberg spin couplings made simple: still only one spin-flip required. J. Phys. Chem. Lett. 6, 1982–1988 (2015)
Dotti, N., Heintze, E., Slota, M., Hübner, R., Wang, F., Nuss, J., Dressel, M., Bogani, L.: Conduction mechanism of nitronyl-nitroxide molecular magnetic compounds. Phys. Rev. B 93, 165201 (2016)
Mañeru, D.R., de Moreira, I.P.R., Illas, F.: Helical folding-induced stabilization of ferromagnetic polyradicals based on triarylmethyl radical derivatives. J. Am. Chem. Soc. 138, 5271–5275 (2016)
Nam, Y., Cho, D., Lee, J.Y.: Doping effect on edge-terminated ferromagnetic graphene nanoribbons. J. Phys. Chem. C 120, 11237–11244 (2016)
Lahti, P.M.: Magnetic properties of organic materials. Marcel Dekker Inc, New York (1999)
Aoki, Y., Imamura, A.: A simple rule to find nondisjoint NBMO degenerate systems for designing high-spin organic molecules. Int. J. Quant. Chem. 74, 491–502 (1999)
Borden, W.T., Davidson, E.R.: Effects of electron repulsion in conjugated hydrocarbon diradicals. J. Am. Chem. Soc. 99, 4587–4594 (1977)
Longuet-Higgins, H.C.: Some studies in molecular orbital theory I. Resonance structures and molecular orbitals in unsaturated hydrocarbons. J. Chem. Phys. 18, 265–274 (1950)
Greenwood, H.H.: Molecular orbital theory of reactivity in aromatic hydrocarbons. J. Chem. Phys. 20, 1653 (1952)
Potts, R.B.: Molecular orbital theory of alternant hydrocarbons. J. Chem. Phys. 21, 758 (1953)
Crowe, R.W., Devins, J.C.: Sparking potential and molecular structure of unsaturated hydrocarbon gases. J. Chem. Phys. 33, 413–418 (1960)
Sovers, O., Kauzmann, W.: Role of d-hybridization in the Pi molecular orbitals of unsaturated hydrocarbons. J. Chem. Phys. 38, 813–824 (1963)
Ferguson, A.F., Pople, J.A.: Molecular orbital theory of diamagnetism. V. Anisotropies of some aromatic hydrocarbon molecules. J. Chem. Phys. 42, 1560–1562 (1965)
Kekulé, A.: Untersuchungen über aromatische Verbindungen Ueber die Constitution der aromatischen Verbindungen. I. Ueber die Constitution der aromatischen Verbindungen. Justus Liebigs Annalen der Chemie 137, 129–196 (1866)
Borden, W.T., Iwamura, H., Berson, J.A.: Violations of Hund’s rule in non-Kekulé hydrocarbons: theoretical prediction and experimental verification. Acc. Chem. Res. 27, 109–116 (1994)
Cui, Z.H., Gupta, A., Lischka, H., Kertesz, M.: Concave or convex π-dimers: the role of the pancake bond in substituted phenalenyl radical dimers. Phys. Chem. Chem. Phys. 17, 23963–23969 (2015)
Ito, S., Nakano, M.: Theoretical molecular design of heteroacenes for singlet fission: tuning the diradical character by modifying π-conjugation length and aromaticity. J. Phys. Chem. C 119, 148–157 (2015)
Das, A., Müller, T., Plasser, F., Lischka, H.: Polyradical character of triangular Non-Kekulé structures, Zethrenes, p-Quinodimethane-Linked Bisphenalenyl, and the Clar Goblet in comparison: an extended multireference study. J. Phys. Chem. A 120, 1625–1636 (2016)
Heitler, W., London, F.: Wechselwirkung neutraler Atome und homöopolare Bindung nach der Quantenmechanik. Zeitschrift für Physik 44, 455–472 (1927)
Hund, F.: Linienspektren und Periodisches System der Elemente. Springer, Berlin (1927)
Hund, F.: Zur Deutung der Molekelspektren. IV. Zeitschrift für Physik 51, 759–795 (1928)
Miller, J.S., Dixon, D.A., Calabrese, J.C.: Crystal structure of Hexaazaoctadecahydrocoronene Dication [HAOC]2+ a singlet benzene dication. Science 240, 1185–1188 (1988)
Heisenberg, W.: Mehrkörperproblem und Resonanz in der Quantenmechanik. Zeitschrift für Physik 38, 411–426 (1926)
Kawakami, T., Yamanaka, S., Mori, W., Yamaguchi, K., Kajiwara, A., Kamachi, M.: No-overlap and orientation principle for ferromagnetic interactions between nitroxide groups. Chem. Phys. Lett. 235, 414–421 (1995)
Yamaguchi, K., Fukui, H., Fueno, T.: Molecular orbital (MO) theory for magnetically interacting organic compounds. Ab-initio MO calculations of the effective exchange integrals for cyclophane-type carbene dimers. Chem. Lett. 15, 625–628 (1986)
Yamaguchi, K., Takahara, Y., Fueno, T.: Ab-initio molecular orbital studies of structure and reactivity of transition metal-oxo compounds. In: Applied Quantum Chemistry, pp. 155–184. Springer, New York (1986)
Yamaguchi, K., Takahara, Y., Fueno, T., Nasu, K.: Ab initio MO calculations of effective exchange integrals between transition-metal ions via oxygen dianions: nature of the copper-oxygen bonds and superconductivity. Jpn. J. Appl. Phys. 26, L1362 (1987)
Yamaguchi, K., Jensen, F., Dorigo, A., Houk, K.: A spin correction procedure for unrestricted Hartree-Fock and Møller-Plesset wavefunctions for singlet diradicals and polyradicals. Chem. Phys. Lett. 149, 537–542 (1988)
Yamaguchi, K., Toyoda, Y., Fueno, T.: Ab initio calculations of effective exchange integrals for triplet carbene clusters. Importance of stacking modes for ferromagnetic interactions. Chem. Phys. Lett. 159, 459–464 (1989)
Yamaguchi, K., Okumura, M., Mori, W., Maki, J., Takada, K., Noro, T., Tanaka, K.: Comparison between spin restricted and unrestricted post-Hartree—Fock calculations of effective exchange integrals in Ising and Heisenberg models. Chem. Phys. Lett. 210, 201–210 (1993)
Nishino, M., Yamanaka, S., Yoshioka, Y., Yamaguchi, K.: Theoretical approaches to direct exchange couplings between divalent chromium ions in naked dimers, tetramers, and clusters. J. Phys. Chem. A 101, 705–712 (1997)
Kitagawa, Y., Saito, T., Nakanishi, Y., Kataoka, Y., Matsui, T., Kawakami, T., Okumura, M., Yamaguchi, K.: Spin contamination error in optimized geometry of singlet Carbene (1A1) by broken-symmetry method. J. Phys. Chem. A 113, 15041–15046 (2009)
McConnell, H.M.: Ferromagnetism in solid free radicals. J. Chem. Phys. 39, 1910 (1963)
McConnell, H.M.: Proceedings of the Robert A. Welch Foundation. Conf. Chem. Res. 11, 144 (1967)
Misra, A., Schmalz, T.G., Klein, D.J.: Clar theory for radical benzenoids. J. Chem. Inf. Model. 49, 2670–2676 (2009)
Hatanaka, M.: Stability criterion for organic ferromagnetism. Theor. Chem. Acc. 129, 151–160 (2011)
Hoffmann, R., Imamura, A., Hehre, W.J.: Benzynes, dehydroconjugated molecules, and the interaction of orbitals separated by a number of intervening σ bonds. J. Am. Chem. Soc. 90, 1499–1509 (1968)
Bischof, P., Gleiter, R., Haider, R.: Through-bond interaction of two mutually perpendicular π systems. A comparison with spiroconjugation. J. Am. Chem. Soc. 100, 1036–1042 (1978)
Post, A.J., Nash, J.J., Love, D.E., Jordan, K.D., Morrison, H.: Organic photochemistry. 107. Photochemical activation of distal functional groups in polyfunctional molecules. Photochemistry and photophysics of the syn-7- and anti-7-chlorobenzonorbornenes. J. Am. Chem. Soc. 117, 4930–4935 (1995)
Lomas, J.S.: 1H NMR study of through-bond and through-space effects in the hetero-association of pyridine with alkane diols. J. Phys. Org. Chem. 24, 129–139 (2011)
Oka, Y., Inoue, K., Kumagai, H., Kurmoo, M.: Long-range magnetic ordering at 5.5 K for cobalt(II)-hydroxide diamond chains isolated by 17 Å with α-phenylcinnamate. Inorg. Chem. 52, 2142–2149 (2013)
Breslow, R.: Stable 4n PI electron triplet molecules. Pure Appl. Chem. 54, 927–938 (1982)
Awaga, K., Sugano, T., Kinoshita, M.: Ferromagnetic intermolecular interaction in the galvinoxyl radical: cooperation of spin polarization and charge-transfer interaction. Chem. Phys. Lett. 141, 540–544 (1987)
Sugawara, T., Tukada, H., Izuoka, A., Murata, S., Iwamura, H.: Magnetic interaction among diphenylmethylene molecules generated in crystals of some diazodiphenylmethanes. J. Am. Ceram. Soc. 108, 4272–4278 (1986)
Takano, Y., Taniguchi, T., Isobe, H., Kubo, T., Morita, Y., Yamamoto, K., Nakasuji, K., Takui, T., Yamaguchi, K.: Hybrid density functional theory studies on the magnetic interactions and the weak covalent bonding for the phenalenyl radical dimeric pair. J. Am. Chem. Soc. 124, 11122–11130 (2002)
Soriano, M.R., Tsobnang, F., Méhauté, A.L., Wimmer, E.: Study of ferromagnetic properties of molecular magnets based on aminonaphthalenesulfonic acid and aniline. Synth. Met. 76, 317–321 (1996)
Alberola, A., Less, R.J., Pask, C.M., Rawson, J.M., Palacio, F., Oliete, P., Paulsen, C., Yamaguchi, A., Farley, R.D., Murphy, D.M.: A thiazyl-based organic ferromagnet. Angew. Chem. Int. Ed. Engl. 42, 4782–4785 (2003)
Ivanova, A., Baumgarten, M., Karabunarliev, S., Tyutyulkov, N.: Design of ferromagnetic alternating stacks of neutral and ion-radical hydrocarbons. Phys. Chem. Chem. Phys. 5, 4932–4937 (2003)
Takeda, R., Takano, Y., Kitagawa, Y., Kawakami, T., Yamashita, Y., Matsuoka, F., Yamaguchi, K.: Theoretical studies on contributions of SOMO–SOMO and other couplings to the magnetic interaction in radical clusters. Synth. Met. 133–134, 593–595 (2003)
Fujita, W., Awaga, K.: Crystal structure and magnetic properties of a thiazyl organic ferromagnet, BBDTA GaCl4 with Tc = 7.0 K. Chem. Phys. Lett. 388, 186–189 (2004)
Minkov, I., Tadjer, A.: Magnetic interactions in nonalternant mixed molecular radical crystals and mixed ion radical crystals. Int. J. Quant. Chem. 99, 667–676 (2004)
Zhu, L., Yao, K.L., Liu, Z.L.: The electronic structure and the ferromagnetic intermolecular interactions in the crystal of TEMPO radicals. J. Magn. Magn. Mater. 301, 301–307 (2006)
Deumal, M., LeRoux, S., Rawson, J.M., Robb, M.A., Novoa, J.J.: A theoretical study of the magnetism of the α-p-cyano-tetrafluorophenyl-dithiadiazolyl radical using a first principles bottom-up procedure. Polyhedron 26, 1949–1958 (2007)
Kinoshita, M., Turek, P., Tamura, M., Nozawa, K., Shiomi, D., Nakazawa, Y., Ishikawa, M., Takahashi, M., Awaga, K., Inabe, T., Maruyama, Y.: An organic radical ferromagnet. Chem. Lett. 20, 1225–1228 (1991)
Okumura, M., Kitagawa, Y., Kawakami, T., Yamaguchi, K.: Theoretical calculations of the pressure effect for the β-phase of p-NPNN. Polyhedron 28, 1898–1902 (2009)
Kawakami, T., Taniguchi, T., Nakano, S., Kitagawa, Y., Yamaguchi, K.: Theoretical studies on magnetic interactions in many types of organic donor salts: BEDT-TTF, BETS. TMTTF TMTSF. Polyhedron 22, 2051–2065 (2003)
Fukutome, H., Takahashi, A., Ozaki, M.-A.: Design of conjugated polymers with polaronic ferromagnetism. Chem. Phys. Lett. 133, 34–38 (1987)
Klein, D.J., Nelin, C.J., Alexander, S., Matsen, F.A.: High-spin hydrocarbons. J. Chem. Phys. 77, 3101–3108 (1982)
Teki, Y., Takui, T., Itoh, K., Iwamura, H., Kobayashi, K.: Design, preparation and ESR detection of a ground-state nonet hydrocarbon as a model for one-dimensional organic ferromagnets. J. Am. Chem. Soc. 105, 3722–3723 (1983)
Ishida, T., Iwamura, H.: Bis[3-tert-butyl-5-(N-oxy-tert-butylamino)phenyl] nitroxide in a quartet ground state: a prototype for persistent high-spin poly[(oxyimino)-1,3-phenylenes]. J. Am. Chem. Soc. 113, 4238–4241 (1991)
Lahti, P.M., Ichimura, A.S.: Semiempirical study of electron exchange interaction in organic high-spin π-systems. Classifying structural effects in organic magnetic molecules. J. Org. Chem. 56, 3030–3042 (1991)
Pranata, J.: Spin preferences of conjugated polyradicals: the disjoint NBMO analysis. J. Am. Chem. Soc. 114, 10537–10541 (1992)
Yoshizawa, K., Tanaka, K., Yamabe, T.: Ferromagnetic coupling through m-phenylene. Molecular and crystal orbital study. J. Phys. Chem. 98, 1851–1855 (1994)
Li, S., Ma, J., Jiang, Y.: Electron correlation and magnetism: a simple molecular orbital approach for predicting ground-state spins of conjugated hydrocarbons. J. Phys. Chem. A 101, 5587–5592 (1997)
Tukada, H., Mochizuki, K.: Long-range magnetic interactions in trans-1,4-Cyclohexylene- and 1,3-Adamantylene-bis(p-nitrenylbenzene) by π-σ-π hyperconjugation. Org. Lett. 3, 3305–3308 (2001)
Shil, S., Misra, A.: Photoinduced antiferromagnetic to ferromagnetic crossover in organic systems. J. Phys. Chem. A 114, 2022–2027 (2010)
Ivanov, C.I., Olbrich, G., Barentzen, H., Polansky, O.E.: Magnetic properties of alternate nonclassical polymers: the elementary excitation spectrum. Phys. Rev. B 36, 8712–8718 (1987)
Li, J., Tang, A.: Ab initio UHF crystal-orbital studies on ferromagnetic polymers. Chem. Phys. Lett. 170, 359–363 (1990)
Matsumoto, T., Ishida, T., Koga, N., Iwamura, H.: Intramolecular magnetic coupling between two nitrene or two nitroxide units through 1,1-diphenylethylene chromophores. Isomeric dinitrenes and dinitroxides related in connectivity to trimethylenemethane, tetramethyleneethane, and pentamethylenepropane. J. Am. Chem. Soc. 114, 9952–9959 (1992)
Miura, Y., Matsumoto, M., Ushitani, Y., Teki, Y., Takui, T., Itoh, K.: Magnetic and optical characterization of poly(ethynylbenzene) with pendant nitroxide radicals. Macromolecules 26, 6673–6675 (1993)
Yamaguchi, K., Okumura, M., Maki, J., Noro, T.: High-spin ion radicals of polyenes and polyamines. A MO theoretical study. Chem. Phys. Lett. 207, 9–14 (1993)
Tanaka, H.: Magnetism of spin polymers prepared by the oxidative polyrecombination of captodative compounds. Macromol. Symp. 84, 137–143 (1994)
Tanaka, K., Ago, H., Yamabe, T.: Design of ferromagnetic polymers involving organosilicon moieties. Synth. Met. 72, 225–229 (1995)
Dannenberg, J.J., Liotard, D., Halvick, P., Rayez, J.C.: Theoretical studies of high-spin organic molecules. 1. Enhanced coupling between multiple unpaired electrons. J. Phys. Chem. 100, 9631–9637 (1996)
Tyutyulkov, N., Baumgarten, M., Dietz, F.: Polaronic high-spin π-conjugated 1-D polymers with polymethine radicals within the elementary units. Chem. Phys. Lett. 353, 231–238 (2002)
Kaneko, T., Makino, T., Miyaji, H., Teraguchi, M., Aoki, T., Miyasaka, M., Nishide, H.: Ladderlike ferromagnetic spin coupling network on a π-conjugated pendant polyradical. J. Am. Chem. Soc. 125, 3554–3557 (2003)
Zaidi, N.A., Giblin, S.R., Terry, I., Monkman, A.P.: Room temperature magnetic order in an organic magnet derived from polyaniline. Polymer 45, 5683–5689 (2004)
Ma, H., Liu, C., Zhang, C., Jiang, Y.: Theoretical study of very high spin organic π-conjugated polyradicals. J. Phys. Chem. A 111, 9471–9478 (2007)
Fu, H.H., Yao, K.L., Liu, Z.L.: Magnetic properties of very-high-spin organic π-conjugated polymers based on Green’s function theory. J. Chem. Phys. 129, 134706 (2008)
Hatanaka, M.: Magnetism in disjoint/non-disjoint composite bands. Chem. Phys. 392, 90–95 (2012)
Qu, Z., Zhang, S., Liu, C., Malrieu, J.P.: Communication: a dramatic transition from nonferromagnet to ferromagnet in finite fused-azulene chain. J. Chem. Phys. 134, 021101 (2011)
Zhanga, J., Wang, R., Wang, L., Baumgarten, M.: Using triazine as coupling unit for intramolecular ferromagnetic coupling of multiradicals. Chem. Phys. 246, 209–215 (1999)
Dias, J.R.: Disjoint molecular orbitals in nonalternant conjugated diradical hydrocarbons. J. Chem. Inf. Comput. Sci. 43, 1494–1501 (2003)
Miyasaka, M., Saito, Y., Nishide, H.: Magnetic force microscopy images of a nanometer-sized, purely organic high-spin polyradical. Adv. Funct. Mater. 13, 113–117 (2003)
Hirai, K., Kamiya, E., Itoh, T., Tomioka, H.: A dendrimer approach to high-spin polycarbenes. Conversion of connectivity from disjoint to non-disjoint by perturbation of nonbonding molecular orbital coefficients. Org. Lett. 8, 1847–1850 (2006)
Álvarez Collado, J.R.: Calculation of the atomic spin densities and energy band gaps of carbon high-spin aromatic (pi) large macromolecular systems. J. Chem. Phys. 129, 154703 (2008)
Ito, A., Ino, H., Tanaka, K.: Electronic structures of newly designed two-dimensional high-spin organic polymers. Polyhedron 28, 2080–2086 (2009)
Li, X., Wang, Q., Jena, P.: Ferromagnetism in two-dimensional carbon chains linked by 1,3,5-benzenetriyl units. J. Phys. Chem. C 115, 19621–19625 (2011)
Hatanaka, M.: Wannier analysis of magnetic graphenes. Chem. Phys. Lett. 484, 276–282 (2010)
Wang, M., Li, C.M.: Magnetic properties of all-carbon graphene-fullerene nanobuds. Phys. Chem. Chem. Phys. 13, 5945–5951 (2011)
Philpott, M.R., Kawazoe, Y.: Graphene nanodots with intrinsically magnetic protrusions. J. Chem. Phys. 136, 064706 (2012)
San-Fabiín, E., Moscardó, F.: Polarized-unpolarized ground state of small polycyclic aromatic hydrocarbons. Int. J. Quant. Chem. 113, 815–819 (2013)
Kawakami, T., Takeda, S., Mori, W., Yamaguchi, K.: Theoretical study of the effective exchange interactions between nitroxides via hydrogen atoms. Chem. Phys. Lett. 261, 129–137 (1996)
Maruta, G., Takeda, S., Imachi, R., Ishida, T., Nogami, T., Yamaguchi, K.: Solid-state high-resolution 1H and 2D NMR study of the electron spin density distribution of the hydrogen-bonded organic ferromagnetic compound 4-hydroxyimino-TEMPO. J. Am. Chem. Soc. 121, 424–431 (1999)
Daigoku, K., Okada, A., Nakada, K.: Theoretical study of intermolecular spin alignments through hydrogen bonding of the carboxy group. Chem. Phys. Lett. 430, 221–226 (2006)
Mishima, A., Nasu, K.: Ferromagnetism in a new type of organic polymer based on benzene rings bridged by carbons. Synth. Met. 22, 23–33 (1987)
Wang, W.Z., Liu, Z.L., Yao, K.L.: Interchain coupling model for quasi-one-dimensional π-conjugated organic ferromagnets. Phys. Rev. B 55, 12989–12994 (1997)
Yoshizawa, K., Kuga, T., Sato, T., Hatanaka, M., Tanaka, K., Yamabe, T.: Through-bond and through-space interactions of organic radicals coupled by m-phenylene. Bull. Chem. Soc. Jpn. 69, 3443–3450 (1996)
Ising, E.: Beitrag zur Theorie des Ferromagnetismus. Zeitschrift für Physik 31, 253–258 (1924)
Onsager, L.: Crystal statistics. I. A two-dimensional model with an order-disorder transition. Phys. Rev. 65, 117–149 (1944)
Yang, C.N.: The spontaneous magnetization of a two-dimensional Ising model. Phys. Rev. 85, 808–816 (1952)
Okabe, Y.: Statistical Mechanics, 3rd edn. Shokado, Tokyo (2003)
Hansda, S., Pal, A.K., Datta, S.N.: Ferromagnetic nature of silicon-substituted meta-xylylene polyradicals. J. Phys. Chem. C 119, 3754–3761 (2015)
Datta, S.N., Pal, A.K., Hansda, S., Latif, I.A.: On the photomagnetism of nitronyl nitroxide, imino nitroxide, and verdazyl-substituted azobenzene. J. Phys. Chem. A 116, 3304–3311 (2012)
Saito, T., Ito, A., Watanabe, T., Kawakami, T., Okumura, M., Yamaguchi, K.: Performance of the coupled cluster and DFT methods for through-space magnetic interactions of nitroxide dimer. Chem. Phys. Lett. 542, 19–25 (2012)
Nishizawa, S., Hasegawa, J.-Y., Matsuda, K.: Theoretical investigation of the β value of the π-conjugated molecular wires by evaluating exchange interaction between organic radicals. J. Phys. Chem. C 117, 26280–26286 (2013)
Bhattacharya, D., Shil, S., Goswami, T., Misra, A., Panda, A., Klein, D.J.: A theoretical study on magnetic properties of bis-TEMPO diradicals with possible application. Comp. Theor. Chem. 1024, 15–23 (2013)
Fukui, K., Yonezawa, T., Shingu, H.: A molecular orbital theory of reactivity in aromatic hydrocarbons. J. Chem. Phys. 20, 722 (1952)
Fukui, K., Yonezawa, T., Nagata, C., Shingu, H.: Molecular orbital theory of orientation in aromatic, heteroaromatic, and other conjugated molecules. J. Chem. Phys. 22, 1433–1442 (1954)
Imamura, A., Aoki, Y., Maekawa, K.: A theoretical synthesis of polymers by using uniform localization of molecular orbitals: proposal of an elongation method. J. Chem. Phys. 95, 5419–5431 (1991)
Aoki, Y., Gu, F.L.: An elongation method for large systems toward bio-systems. Phys. Chem. Chem. Phys. 14, 7640–7668 (2012)
Korchowiec, J., Gu, F.L., Aoki, Y.: Elongation method at restricted open-shell Hartree-Fock level of theory. Int. J. Quant. Chem. 105, 875–882 (2005)
Zhu, X., Aoki, Y.: Development of minimized mixing molecular orbital method for designing organic ferromagnets. J. Comput. Chem. 36, 1232–1239 (2015)
Kitaura, K., Ikeo, E., Asada, T., Nakano, T., Uebayasi, M.: Fragment molecular orbital method: an approximate computational method for large molecules. Chem. Phys. Lett. 313, 701–706 (1999)
Fedorov, D.G., Kitaura, K.: Extending the power of quantum chemistry to large systems with the fragment molecular orbital method. J. Phys. Chem. A 111, 6904–6914 (2007)
Fedorov, D.G., Nagata, T., Kitaura, K.: Exploring chemistry with the fragment molecular orbital method. Phys. Chem. Chem. Phys. 14, 7562–7577 (2012)
Nakano, T., Kaminuma, T., Sato, T., Fukuzawa, K., Akiyama, Y., Uebayasi, M., Kitaura, K.: Fragment molecular orbital method: use of approximate electrostatic potential. Chem. Phys. Lett. 351, 475–480 (2002)
Mochizuki, Y., Koikegami, S., Amari, S., Segawa, K., Kitaura, K., Nakano, T.: Configuration interaction singles method with multilayer fragment molecular orbital scheme. Chem. Phys. Lett. 406, 283–288 (2005)
Chiba, M., Fedorov, D.G., Kitaura, K.: Time-dependent density functional theory with the multilayer fragment molecular orbital method. Chem. Phys. Lett. 444, 346–350 (2007)
Chiba, M., Fedorov, D.G., Kitaura, K.: Time-dependent density functional theory based upon the fragment molecular orbital method. J. Chem. Phys. 127, 104108 (2007)
Mochizuki, Y., Tanaka, K., Yamashita, K., Ishikawa, T., Nakano, T., Amari, S., Segawa, K., Murase, T., Tokiwa, H., Sakurai, M.: Parallelized integral-direct CIS(D) calculations with multilayer fragment molecular orbital scheme. Theor. Chem. Acc. 117, 541–553 (2007)
Chiba, M., Fedorov, D.G., Kitaura, K.: Polarizable continuum model with the fragment molecular orbital-based time-dependent density functional theory. J. Comput. Chem. 29, 2667–2676 (2008)
Chiba, M., Fedorov, D.G., Nagata, T., Kitaura, K.: Excited state geometry optimizations by time-dependent density functional theory based on the fragment molecular orbital method. Chem. Phys. Lett. 474, 227–232 (2009)
Chiba, M., Koido, T.: Electronic excitation energy calculation by the fragment molecular orbital method with three-body effects. J. Chem. Phys. 133, 044113 (2010)
Pruitt, S.R., Fedorov, D.G., Kitaura, K., Gordon, M.S.: Open-shell formulation of the fragment molecular orbital method. J. Chem. Theory Comput. 6, 1–5 (2010)
Yang, W.: Direct calculation of electron density in density-functional theory: implementation for benzene and a tetrapeptide. Phys. Rev. A 44, 7823–7826 (1991)
Yang, W.: Direct calculation of electron density in density-functional theory. Phys. Rev. Lett. 66, 1438–1441 (1991)
Zhao, Q., Yang, W.: Analytical energy gradients and geometry optimization in the divide-and-conquer method for large molecules. J. Chem. Phys. 102, 9598–9603 (1995)
Yang, W., Lee, T.-S.: A density-matrix divide-and-conquer approach for electronic structure calculations of large molecules. J. Chem. Phys. 103, 5674–5678 (1995)
Kobayashi, M., Akama, T., Nakai, H.: Second-order Møller-Plesset perturbation energy obtained from divide-and-conquer Hartree-Fock density matrix. J. Chem. Phys. 125, 204106 (2006)
Kobayashi, M., Imamura, Y., Nakai, H.: Alternative linear-scaling methodology for the second-order Møller-Plesset perturbation calculation based on the divide-and-conquer method. J. Chem. Phys. 127, 074103 (2007)
Kobayashi, M., Nakai, H.: Extension of linear-scaling divide-and-conquer-based correlation method to coupled cluster theory with singles and doubles excitations. J. Chem. Phys. 129, 044103 (2008)
Kobayashi, M., Nakai, H.: Dual-level hierarchical scheme for linear-scaling divide-and-conquer correlation theory. Int. J. Quant. Chem. 109, 2227–2237 (2009)
Kobayashi, M., Nakai, H.: Divide-and-conquer-based linear-scaling approach for traditional and renormalized coupled cluster methods with single, double, and noniterative triple excitations. J. Chem. Phys. 131, 114108 (2009)
Kobayashi, M., Nakai, H.: How does it become possible to treat delocalized and/or open-shell systems in fragmentation-based linear-scaling electronic structure calculations? The case of the divide-and-conquer method. Phys. Chem. Chem. Phys. 14, 7629–7639 (2012)
Kobayashi, M., Yoshikawa, T., Nakai, H.: Divide-and-conquer self-consistent field calculation for open-shell systems: implementation and application. Chem. Phys. Lett. 500, 172–177 (2010)
Nakai, H., Kobayashi, M.: Linear-scaling electronic structure calculation program based on divide-and-conquer method. Procedia Comput. Sci. 4, 1145–1150 (2011)
Yoshikawa, T., Kobayashi, M., Nakai, H.: Linear-scaling divide-and-conquer second-order Møller-Plesset perturbation calculation for open-shell systems: implementation and application. Theor. Chem. Acc. 130, 411–417 (2011)
Chan, G.K.-L., Dorando, J.J., Ghosh, D., Hachmann, J., Neuscamman, E., Wang, H., Yanai, T.: An introduction to the Density Matrix Renormalization Group Ansatz in quantum chemistry. In: Frontiers in quantum systems in chemistry and physics, vol. 18, pp. 49–65. Springer, New York (2008)
White, S.R.: Density matrix formulation for quantum renormalization groups. Phys. Rev. Lett. 69, 2863–2866 (1992)
White, S.R.: Density-matrix algorithms for quantum renormalization groups. Phys. Rev. B 48, 10345 (1993)
Mitrushenkov, A.O., Fano, G., Ortolani, F., Linguerri, R., Palmieri, P.: Quantum chemistry using the density matrix renormalization group. J. Chem. Phys. 115, 6815 (2001)
Chan, G.K.-L., Head-Gordon, M.: Highly correlated calculations with a polynomial cost algorithm: a study of the density matrix renormalization group. J. Chem. Phys. 116, 4462 (2002)
Legeza, Ö., Röder, J., Hess, B.: Controlling the accuracy of the density-matrix renormalization-group method: the dynamical block state selection approach. Phys. Rev. B 67, 125114 (2003)
Moritz, G., Reiher, M.: Decomposition of density matrix renormalization group states into a Slater determinant basis. J. Chem. Phys. 126, 244109 (2007)
Zgid, D., Nooijen, M.: On the spin and symmetry adaptation of the density matrix renormalization group method. J. Chem. Phys. 128, 014107 (2008)
Ghosh, D., Hachmann, J., Yanai, T., Chan, G.K.: Orbital optimization in the density matrix renormalization group, with applications to polyenes and β-carotene. J. Chem. Phys. 128, 144117 (2008)
Mizukami, W., Kurashige, Y., Yanai, T.: Communication: Novel quantum states of electron spins in polycarbenes from ab initio density matrix renormalization group calculations. J. Chem. Phys. 133, 091101 (2010)
Kurashige, Y., Yanai, T.: High-performance ab initio density matrix renormalization group method: applicability to large-scale multireference problems for metal compounds. J. Chem. Phys. 130, 234114 (2009)
Kurashige, Y., Yanai, T.: Second-order perturbation theory with a density matrix renormalization group self-consistent field reference function: theory and application to the study of chromium dimer. J. Chem. Phys. 135, 094104 (2011)
Kurashige, Y., Chalupsky, J., Lan, T.N., Yanai, T.: Complete active space second-order perturbation theory with cumulant approximation for extended active-space wavefunction from density matrix renormalization group. J. Chem. Phys. 141, 174111 (2014)
Saitow, M., Kurashige, Y., Yanai, T.: Multireference configuration interaction theory using cumulant reconstruction with internal contraction of density matrix renormalization group wave function. J. Chem. Phys. 139, 044118 (2013)
Yanai, T., Kurashige, Y., Mizukami, W., Chalupský, J., Lan, T.N., Saitow, M.: Density matrix renormalization group for ab initio Calculations and associated dynamic correlation methods: a review of theory and applications. Int. J. Quant. Chem. 115, 283–299 (2015)
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Aoki, Y., Orimoto, Y., Imamura, A. (2017). Survey of Organic Magnetism. In: Quantum Chemical Approach for Organic Ferromagnetic Material Design. SpringerBriefs in Molecular Science(). Springer, Cham. https://doi.org/10.1007/978-3-319-49829-4_1
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