User menu

Role of edge atoms in the hysteretic behaviour of 3D spin crossover nanoparticles revealed by an Ising-like model

Bibliographic reference Chiruta, D. ; Linares, J. ; Dimian, M. ; Alayli, Y. ; Garcia, Yann. Role of edge atoms in the hysteretic behaviour of 3D spin crossover nanoparticles revealed by an Ising-like model. In: European Journal of Inorganic Chemistry, no. 29, p. 5086-5093 (2013)
Permanent URL
  1. Gütlich Philipp, Gaspar Ana B, Garcia Yann, Spin state switching in iron coordination compounds, 10.3762/bjoc.9.39
  2. Gütlich Philipp, Spin Crossover - Quo Vadis?, 10.1002/ejic.201300092
  3. Bousseksou Azzedine, Molnár Gábor, Salmon Lionel, Nicolazzi William, Molecular spin crossover phenomenon: recent achievements and prospects, 10.1039/c1cs15042a
  4. Gütlich, Spin Crossover in Transition Metal Compounds I, II, and III (2004)
  5. Spiering H., Kohlhaas T., Romstedt H., Hauser A., Bruns-Yilmaz C., Kusz J., Gütlich P., Correlations of the distribution of spin states in spin crossover compounds, 10.1016/s0010-8545(99)00109-5
  6. Linares Jorge, Codjovi Epiphane, Garcia Yann, Pressure and Temperature Spin Crossover Sensors with Optical Detection, 10.3390/s120404479
  7. Klokishner S., Linares J., Effects of Intra- and Intercenter Interactions in Spin Crossover:  Application of the Density Matrix Method to the Nonequilibrium Low-Spin↔High-Spin Transitions Induced by Light, 10.1021/jp070126j
  8. Klokishner Sophia, Linares Jorge, Varret François, Effect of hydrostatic pressure on phase transitions in spin-crossover 1D systems, 10.1016/s0301-0104(00)00081-1
  9. Nakada Taro, Mori Takashi, Miyashita Seiji, Nishino Masamichi, Todo Synge, Nicolazzi William, Rikvold Per Arne, Critical temperature and correlation length of an elastic interaction model for spin-crossover materials, 10.1103/physrevb.85.054408
  10. Konishi Yusuké, Tokoro Hiroko, Nishino Masamichi, Miyashita Seiji, Monte Carlo Simulation of Pressure-Induced Phase Transitions in Spin-Crossover Materials, 10.1103/physrevlett.100.067206
  11. Papakonstantinou T., Malakis A., Critical behavior of the three-dimensional Ising model with anisotropic bond randomness at the ferromagnetic-paramagnetic transition line, 10.1103/physreve.87.012132
  12. Rotaru Aurelian, Gural'skiy Il'ya A., Molnár Gábor, Salmon Lionel, Demont Philippe, Bousseksou Azzedine, Spin state dependence of electrical conductivity of spin crossover materials, 10.1039/c2cc30528c
  13. Rotaru Aurelian, Dugay Julien, Tan Reasmey P., Guralskiy Ilya A., Salmon Lionel, Demont Philippe, Carrey Julian, Molnár Gábor, Respaud Marc, Bousseksou Azzedine, Nano-electromanipulation of Spin Crossover Nanorods: Towards Switchable Nanoelectronic Devices, 10.1002/adma.201203020
  14. Miyamachi Toshio, Gruber Manuel, Davesne Vincent, Bowen Martin, Boukari Samy, Joly Loïc, Scheurer Fabrice, Rogez Guillaume, Yamada Toyo Kazu, Ohresser Philippe, Beaurepaire Eric, Wulfhekel Wulf, Robust spin crossover and memristance across a single molecule, 10.1038/ncomms1940
  15. Bonnet Sylvestre, Molnár Gábor, Sanchez Costa José, Siegler Maxime A., Spek Anthony L., Bousseksou Azedine, Fu Wen-Tian, Gamez Patrick, Reedijk Jan, Influence of Sample Preparation, Temperature, Light, and Pressure on the Two-Step Spin Crossover Mononuclear Compound [Fe(bapbpy)(NCS)2], 10.1021/cm803414q
  16. Hauser Andreas, Light-Induced Spin Crossover and the High-Spin→Low-Spin Relaxation, Topics in Current Chemistry ISBN:9783540403968 p.155-198, 10.1007/b95416
  17. GUTLICH P, KSENOFONTOV V, GASPAR A, Pressure effect studies on spin crossover systems, 10.1016/j.ccr.2005.01.022
  18. Pavlik Ján, Boča Roman, Established Static Models of Spin Crossover, 10.1002/ejic.201201082
  19. Tao Jun, Wei Rong-Jia, Huang Rong-Bin, Zheng Lan-Sun, Polymorphism in spin-crossover systems, 10.1039/c1cs15136c
  20. Molnár Gábor, Guillon Thomas, Moussa Nawel Ould, Rechignat Lionel, Kitazawa Takafumi, Nardone Marc, Bousseksou Azzedine, Two-step spin-crossover phenomenon under high pressure in the coordination polymer Fe(3-methylpyridine)2[Ni(CN)4], 10.1016/j.cplett.2006.03.053
  21. Kosone Takashi, Tomori Itaru, Kanadani Chikahide, Saito Toshiaki, Mochida Tomoyuki, Kitazawa Takafumi, Unprecedented three-step spin-crossover transition in new 2-dimensional coordination polymer{FeII(4-methylpyridine)2[AuI(CN)2]2}, 10.1039/b914330k
  22. Sciortino Natasha F., Scherl-Gruenwald Katrin R., Chastanet Guillaume, Halder Gregory J., Chapman Karena W., Létard Jean-François, Kepert Cameron J., Hysteretic Three-Step Spin Crossover in a Thermo- and Photochromic 3D Pillared Hofmann-type Metal-Organic Framework, 10.1002/ange.201204387
  23. Nishi Koshiro, Kondo Hiroki, Fujinami Takeshi, Matsumoto Naohide, Iijima Seiichiro, Halcrow Malcolm A., Sunatsuki Yukinari, Kojima Masaaki, Stepwise Spin Transition and Hysteresis of a Tetrameric Iron(II) Complex,fac-[Tris(2-methylimidazol-4-ylmethylidene-n-hexylamine)]iron(II) Chloride Hexafluorophosphate, Assembled by Imidazole···Chloride Hydrogen Bonds, 10.1002/ejic.201201298
  24. Boinnard Didier, Bousseksou Azzedine, Dworkin Ary, Savariault Jean Michel, Varret Francois, Tuchagues Jean Pierre, Two-step spin conversion of [FeII(5-NO2-sal-N(1,4,7,10))]: 292, 153, and 103 K x-ray crystal and molecular structure, infrared, magnetic, Moessbauer, calorimetric, and theoretical studies, 10.1021/ic00080a015
  25. Chiruta Daniel, Linares Jorge, Dimian Mihai, Garcia Yann, Size Effect and Role of Short- and Long-Range Interactions on 1D Spin-Crossover Systems within the Framework of an Ising-Like Model, 10.1002/ejic.201201316
  26. Rotaru Aurelian, Linares Jorge, Codjovi Epiphane, Nasser Jamil, Stancu Alexandru, Size and pressure effects in the atom-phonon coupling model for spin crossover compounds, 10.1063/1.2832674
  27. Chiruta Daniel, Linares Jorge, Garcia Yann, Dahoo Pierre Richard, Dimian Mihai, Analysis of the Hysteretic Behaviour of 3D Spin Crossover Compounds by Using an Ising-Like Model, 10.1002/ejic.201300412
  28. Volatron Florence, Catala Laure, Rivière Eric, Gloter Alexandre, Stéphan Odile, Mallah Talal, Spin-Crossover Coordination Nanoparticles, 10.1021/ic800803w
  29. van Koningsbruggen Petra J., Garcia Yann, Kooijman Huub, Spek Anthony L., Haasnoot Jaap G., Kahn Olivier, Linares Jorge, Codjovi Epiphane, Varret François, A new 3-D polymeric spin transition compound: [tris(1,4-bis(tetrazol-1-yl)butane-N1,N 1′)iron(II)] bis(perchlorate), 10.1039/b008073j
  30. Bronisz Robert, Tetrazol-2-yl as a Donor Group for Incorporation of a Spin-Crossover Function Based on Fe(II) Ions into a Coordination Network, 10.1021/ic070223r
  31. Li Lihong, Clarkson Guy J., Evans David J., Lees Martin R., Turner Scott S., Scott Peter, Isomeric Fe(ii) MOFs: from a diamond-framework spin-crossover material to a 2D hard magnet, 10.1039/c1cc15574a
  32. Yan Zheng, Li Mian, Gao Hui-Ling, Huang Xiao-Chun, Li Dan, High-spin versus spin-crossover versus low-spin: geometry intervention in cooperativity in a 3D polymorphic iron(ii)–tetrazole MOFs system, 10.1039/c2cc18140a
  33. Liu Wen-Ting, Li Jin-Yan, Ni Zhao-Ping, Bao Xin, Ou Yong-Cong, Leng Ji-Dong, Liu Jun-Liang, Tong Ming-Liang, Incomplete Spin Crossover versus Antiferromagnetic Behavior Exhibited in Three-Dimensional Porous Fe(II)-Bis(tetrazolate) Frameworks, 10.1021/cg201569m
  34. Muñoz-Lara Francisco J., Gaspar Ana B., Muñoz M. Carmen, Arai Masashi, Kitagawa Susumu, Ohba Masaaki, Real José Antonio, Sequestering Aromatic Molecules with a Spin-Crossover FeII Microporous Coordination Polymer, 10.1002/chem.201200377
  35. Bousseksou A., Nasser J., Linares J., Boukheddaden K., Varret F., Ising-like model for the two-step spin-crossover, 10.1051/jp1:1992217
  36. Bousseksou A., Varret F., Nasser J., Ising-like model for the two step spin-crossover of binuclear molecules, 10.1051/jp1:1993191
  37. Chiruta D., Linares J., Dahoo P. R., Dimian M., Analysis of long-range interaction effects on phase transitions in two-step spin-crossover chains by using Ising-type systems and Monte Carlo entropic sampling technique, 10.1063/1.4756994
  38. Boukheddaden K., Linares J., Spiering H., Varret F., One-dimensional Ising-like systems: an analytical investigation of the static and dynamic properties, applied to spin-crossover relaxation, 10.1007/s100510051131
  39. Boukheddaden K., Linares J., Codjovi E., Varret F., Niel V., Real J. A., Dynamical Ising-like model for the two-step spin-crossover systems, 10.1063/1.1540038
  40. Nasser J. A., Topçu S., Chassagne L., Wakim M., Bennali B., Linares J., Alayli Y., Two-dimensional atom-phonon coupling model for spin conversion: role of metastable states, 10.1140/epjb/e2011-10985-4
  41. Gindulescu A., Rotaru A., Linares J., Dimian M., Nasser J., Excited metastables electronic spin states in spin crossover compounds studies by atom-phonon coupling model: Gradual and two-step transition cases, 10.1063/1.3367972
  42. Boukheddaden Kamel, Static and Dynamical Aspects of a Phonon-Induced Spin-Crossover Transition - Local Equilibrium Approach, 10.1002/ejic.201201093
  43. Apetrei Alin Marian, Boukheddaden Kamel, Stancu Alexandru, Dynamic phase transitions in the one-dimensional spin-phonon coupling model, 10.1103/physrevb.87.014302
  44. Rotaru Aurelian, Carmona Adrian, Combaud Flavien, Linares Jorge, Stancu Alexandru, Nasser Jamil, Monte Carlo simulations for 1- and 2D spin crossover compounds using the atom–phonon coupling model, 10.1016/j.poly.2008.10.053
  45. Enachescu Cristian, Nishino Masamichi, Miyashita Seiji, Stoleriu Laurentiu, Stancu Alexandru, Monte Carlo Metropolis study of cluster evolution in spin-crossover solids within the framework of a mechanoelastic model, 10.1103/physrevb.86.054114
  46. Chakraborty Pradip, Enachescu Cristian, Hauser Andreas, Analysis of the Experimental Data for Pure and Diluted [FexZn1-x(bbtr)3](ClO4)2Spin-Crossover Solids in the Framework of a Mechanoelastic Model, 10.1002/ejic.201201193
  47. Enachescu Cristian, Stoleriu Laurentiu, Stancu Alexandru, Hauser Andreas, Study of the relaxation in diluted spin crossover molecular magnets in the framework of the mechano-elastic model, 10.1063/1.3556702
  48. Gütlich Philipp, Spin crossover in iron(II)-complexes, Structure and Bonding ISBN:9783540104940 p.83-195, 10.1007/bfb0111269
  49. Molnár Gábor, Niel Virginie, Real José-A., Dubrovinsky Leonid, Bousseksou Azzedine, McGarvey John J., Raman Spectroscopic Study of Pressure Effects on the Spin-Crossover Coordination Polymers Fe(Pyrazine)[M(CN)4]·2H2O (M = Ni, Pd, Pt). First Observation of a Piezo-Hysteresis Loop at Room Temperature, 10.1021/jp027550z
  50. Decurtins S., Gütlich P., Köhler C.P., Spiering H., Hauser A., Light-induced excited spin state trapping in a transition-metal complex: The hexa-1-propyltetrazole-iron (II) tetrafluoroborate spin-crossover system, 10.1016/0009-2614(84)80403-0
  51. Decurtins S., Gutlich P., Hasselbach K. M., Hauser A., Spiering H., Light-induced excited-spin-state trapping in iron(II) spin-crossover systems. Optical spectroscopic and magnetic susceptibility study, 10.1021/ic00208a013
  52. Bousseksou A., Boukheddaden K., Goiran M., Consejo C., Boillot M-L., Tuchagues J-P., Dynamic response of the spin-crossover solidCo(H2(fsa)2en)(py)2to a pulsed magnetic field, 10.1103/physrevb.65.172412
  53. Koenig E., Ritter G., Kulshreshtha S. K., Waigel J., Goodwin H. A., The discontinuous high-spin (5T2) .dblharw. low-spin (1A1) transition in solid bis(1,10-phenanthroline-2-carbaldehyde phenylhydrazone)iron(II) bis(tetrafluoroborate): hysteresis effects, concurrent crystallographic phase change, entropy of the transition, and effect of pressure, 10.1021/ic00181a022
  54. Bousseksou Azzedine, Molnár Gábor, Demont Philippe, Menegotto Jérôme, Observation of a thermal hysteresis loop in the dielectric constant of spin crossover complexes: towards molecular memory devices, 10.1039/b306638j
  55. van der Veen Renske M., Kwon Oh-Hoon, Tissot Antoine, Hauser Andreas, Zewail Ahmed H., Single-nanoparticle phase transitions visualized by four-dimensional electron microscopy, 10.1038/nchem.1622
  56. Coronado E., Galán-Mascarós J. R., Monrabal-Capilla M., García-Martínez J., Pardo-Ibáñez P., Bistable Spin-Crossover Nanoparticles Showing Magnetic Thermal Hysteresis near Room Temperature, 10.1002/adma.200700559
  57. Rotaru A., Varret F., Gindulescu A., Linares J., Stancu A., Létard J. F., Forestier T., Etrillard C., Size effect in spin-crossover systems investigated by FORC measurements, for surfacted [Fe(NH2-trz)3](Br)2·3H2O nanoparticles: reversible contributions and critical size, 10.1140/epjb/e2011-10903-x
  58. Shepherd Helena J., Molnár Gábor, Nicolazzi William, Salmon Lionel, Bousseksou Azzedine, Spin Crossover at the Nanometre Scale, 10.1002/ejic.201201205
  59. Tokarev Alexey, Salmon Lionel, Guari Yannick, Nicolazzi William, Molnár Gábor, Bousseksou Azzedine, Cooperative spin crossover phenomena in [Fe(NH2trz)3](tosylate)2 nanoparticles, 10.1039/c0cc02606a
  60. Martínez Víctor, Boldog Ishtvan, Gaspar Ana Belén, Ksenofontov Vadim, Bhattacharjee Ashis, Gütlich Philipp, Real José Antonio, Spin Crossover Phenomenon in Nanocrystals and Nanoparticles of [Fe(3-Fpy)2M(CN)4] (MII= Ni, Pd, Pt) Two-Dimensional Coordination Polymers, 10.1021/cm101022u
  61. Claude Renee, Real Jose Antonio, Zarembowitch Jacqueline, Kahn Olivier, Ouahab Lahcene, Grandjean Daniel, Boukheddaden Kamel, Varret Francois, Dworkin Ary, Spin transition in iron Fe(py)2L(NCS)2 complexes where py = pyridine and L = 2,2'-bipyrimidine (bpym) and 1,10-phenanthroline (phen): magnetic, calorimetric, and Moessbauer-effect investigation. Crystal structure of [Fe(py)2bpym(NCS)2].0.25py, 10.1021/ic00347a022
  62. Boldog Ishtvan, Gaspar Ana B., Martínez Víctor, Pardo-Ibañez Pablo, Ksenofontov Vadim, Bhattacharjee Ashis, Gütlich Philipp, Real José A., Spin-Crossover Nanocrystals with Magnetic, Optical, and Structural Bistability Near Room Temperature, 10.1002/ange.200801673
  63. Prins Ferry, Monrabal-Capilla María, Osorio Edgar A., Coronado Eugenio, van der Zant Herre S. J., Room-Temperature Electrical Addressing of a Bistable Spin-Crossover Molecular System, 10.1002/adma.201003821
  64. Muraoka Azusa, Boukheddaden Kamel, Linarès Jorge, Varret F., Two-dimensional Ising-like model with specific edge effects for spin-crossover nanoparticles: A Monte Carlo study, 10.1103/physrevb.84.054119
  65. Raza Yousuf, Volatron Florence, Moldovan Simona, Ersen Ovidiu, Huc Vincent, Martini Cyril, Brisset François, Gloter Alexandre, Stéphan Odile, Bousseksou Azzedine, Catala Laure, Mallah Talal, Matrix-dependent cooperativity in spin crossover Fe(pyrazine)Pt(CN)4 nanoparticles, 10.1039/c1cc14463d
  66. Clemente-León Miguel, Coronado Eugenio, López-Muñoz Ángel, Repetto Diego, Catala Laure, Mallah Talal, Patterning of Magnetic Bimetallic Coordination Nanoparticles of Prussian Blue Derivatives by the Langmuir–Blodgett Technique, 10.1021/la2049508
  67. Atitoaie Alexandru, Tanasa Radu, Enachescu Cristian, Size dependent thermal hysteresis in spin crossover nanoparticles reflected within a Monte Carlo based Ising-like model, 10.1016/j.jmmm.2011.12.011
  68. Chong Christian, Itoi Miho, Boukheddaden Kamel, Codjovi Epiphane, Rotaru Aurelian, Varret François, Frye Franz A., Talham Daniel R., Maurin Isabelle, Chernyshov Dmitry, Castro Miguel, Metastable state of the photomagnetic Prussian blue analog K0.3Co[Fe(CN)6]0.77·3.6H2O investigated by various techniques, 10.1103/physrevb.84.144102
  69. Phys. Rev. B 2010 82
  70. Nicolazzi W., Pillet S., Lecomte C., Photoinduced phase separation in spin-crossover materials: Numerical simulation of a dynamic photocrystallographic experiment, 10.1103/physrevb.80.132102
  71. Slimani Ahmed, Boukheddaden Kamel, Varret François, Oubouchou Hassane, Nishino Masamichi, Miyashita Seiji, Microscopic spin-distortion model for switchable molecular solids: Spatiotemporal study of the deformation field and local stress at the thermal spin transition, 10.1103/physrevb.87.014111
  72. Linares Jorge, Enachescu Cristian, Boukheddaden Kamel, Varret François, Monte Carlo entropic sampling applied to spin crossover solids: the squareness of the thermal hysteresis loop, 10.1016/s0277-5387(03)00219-5
  73. Linares J., Spiering H., Varret F., Analytical solution of 1D Ising-like systems modified by weak long range interaction : Application to spin crossover compounds, 10.1007/s100510050855
  74. Lee Jooyoung, New Monte Carlo algorithm: Entropic sampling, 10.1103/physrevlett.71.211
  75. Garcia, C. R. Acad. Sci. Paris, Series IIc, 523 (1998)
  76. Dîrtu Marinela M., Rotaru Aurelian, Gillard Damien, Linares Jorge, Codjovi Epiphane, Tinant Bernard, Garcia Yann, Prediction of the Spin Transition Temperature in FeIIOne-Dimensional Coordination Polymers: an Anion Based Database, 10.1021/ic900814b
  77. Dîrtu Marinela M., Neuhausen Christine, Naik Anil D., Rotaru Aurelian, Spinu Leonard, Garcia Yann, Insights into the Origin of Cooperative Effects in the Spin Transition of [Fe(NH2trz)3](NO3)2: the Role of Supramolecular Interactions Evidenced in the Crystal Structure of [Cu(NH2trz)3](NO3)2·H2O, 10.1021/ic100667f
  78. Dîrtu Marinela M., Garcia Yann, Nica Mihai, Rotaru Aurelian, Linares Jorge, Varret François, Iron(II) spin transition 1,2,4-triazole chain compounds with novel inorganic fluorinated counteranions, 10.1016/j.poly.2006.11.009
  79. Garcia Yann, Ksenofontov Vadim, Mentior Sophie, Dîrtu Marinela M., Gieck Christine, Bhatthacharjee Ashis, Gütlich Philipp, Rapid Cooling Experiments and Use of an Anionic Nuclear Probe to Sense the Spin Transition of the 1D Coordination Polymers [Fe(NH2trz)3]SnF6⋅n H2O (NH2trz=4-amino-1,2,4-triazole), 10.1002/chem.200701305
  80. Oubouchou H., Slimani A., Boukheddaden K., Interplay between elastic interactions in a core-shell model for spin-crossover nanoparticles, 10.1103/physrevb.87.104104
  81. Sorai Michio, Nakazawa Yasuhiro, Nakano Motohiro, Miyazaki Yuji, Update 1 of: Calorimetric Investigation of Phase Transitions Occurring in Molecule-Based Magnets, 10.1021/cr300156s
  82. Létard Jean-François, Guionneau Philippe, Goux-Capes Laurence, Towards Spin Crossover Applications, Topics in Current Chemistry ISBN:3540403957 p.221-249, 10.1007/b95429
  83. Halcrow Malcolm A., The spin-states and spin-transitions of mononuclear iron(II) complexes of nitrogen-donor ligands, 10.1016/j.poly.2007.03.033
  84. Klingele Julia, Kaase Dominik, Klingele Marco H., Lach Jochen, Demeshko Serhiy, Two-step spin crossover in the mononuclear iron(ii) complex [FeII(L)2(NCS)2] (L = 2,5-di-(2-pyridyl)-1,3,4-thiadiazole), 10.1039/b924223f
  85. Bousseksou Azzedine, Molnár Gábor, Real José Antonio, Tanaka Koichiro, Spin crossover and photomagnetism in dinuclear iron(II) compounds, 10.1016/j.ccr.2007.02.023
  86. Gaspar Ana B., Muñoz M. Carmen, Real José A., Dinuclear iron(ii) spin crossover compounds: singular molecular materials for electronics, 10.1039/b603488h
  87. Real José Antonio, Castro Isabel, Bousseksou Azzedine, Verdaguer Michel, Burriel Ramón, Castro Miguel, Linares Jorge, Varret François, Spin Crossover in the 2,2‘-Bipyrimidine- (bpym-) Bridged Iron(II) Complexes [Fe(L)(NCX)2]2(bpym) (L = 2, 2‘-Bithiazoline (bt) and bpym; X = S, Se). X-ray Absorption Spectroscopy, Magnetic Susceptibility, Calorimetric, and Mössbauer Spectroscopy Studies, 10.1021/ic960509o
  88. Real Jose Antonio, Bolvin Helene, Bousseksou Azzedine, Dworkin Ary, Kahn Olivier, Varret Francois, Zarembowitch Jacqueline, Two-step spin crossover in the new dinuclear compound [Fe(bt)(NCS)2]2bpym, with bt = 2,2'-bi-2-thiazoline and bpym = 2,2'-bipyrimidine: experimental investigation and theoretical approach, 10.1021/ja00038a031
  89. Halder Gregory J., Chapman Karena W., Neville Suzanne M., Moubaraki Boujemaa, Murray Keith S., Létard Jean-François, Kepert Cameron J., Elucidating the Mechanism of a Two-Step Spin Transition in a Nanoporous Metal−Organic Framework, 10.1021/ja8068038
  90. Nishino Masamichi, Boukheddaden Kamel, Miyashita Seiji, Varret François, Arrhenius Monte Carlo study of two-step spin crossover:  Equilibrium and relaxation paths, 10.1103/physrevb.68.224402
  91. Miyashita S., Konishi Y., Tokoro H., Nishino M., Boukheddaden K., Varret F., Structures of Metastable States in Phase Transitions with a High-Spin Low-Spin Degree of Freedom, 10.1143/ptp.114.719