Heat capacity and phase transition of the mixed-valence compound [Fe3O(O2CCH3)6(py) 3](CHCl3)

Yuki Kaneko, Motohiro Nakano, Michio Sorai, Ho Gyeom Jang, David N. Hendrickson

Research output: Contribution to journalArticle

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Abstract

The heat capacity of the mixed-valence complex [Fe3O(O2CCH3)6(py) 3](CHCl3), where py is pyridine, has been measured with an adiabatic calorimeter between 14 and 300 K. A phase transition with two peaks closely centered at 207.14 and 208.19 K has been found. The enthalpy and entropy of the phase transition are ΔH = 5107 ± 44 J mol-1 and ΔS = 28.10 ± 0.44 J K-1 mol-1. By comparing the present calorimetric results with available 57Fe Mössbauer, X-ray structural, and solid-state 2H NMR data for the complex with a CDCl3 solvate molecule, we concluded that the phase transition is associated with the onset of intramolecular electron transfer in the mixed-valence Fe3O complexes and the onset of orientational disordering of the chloroform solvate molecules. The former contribution to ΔS is R ln 4 while the latter is R ln 8, where R is the gas constant. The total entropy gain, R ln 32 (=28.82 J K-1 mol-1), agrees well with the observed ΔS. In the high-temperature phase, each Fe3O complex is dynamically interconverting between four vibronic states, in one of which the complex has C3 symmetry and is electronically delocalized. In each of the other three states, the "extra" electron is trapped on one of the iron ions. The contribution for the solvate molecule is in keeping with a model derived from the 2H NMR studies. In this model the C-H vector of the CHCl3 solvate molecule is moving between four equally probable positions, one with the C-H vector along the C3-symmetry axis, which is also the axis along which the Fe3O complexes are stacked. The other three positions have the C-H vector directed off the C3 axis on a cone that makes an angle of 24.7° with the C3 axis. Since the CHCl3 solvate molecule sits on a 32 symmetry site, the number of the total positions of the C-H vector is 8 (4 up and 4 down), and hence the entropy gain for the CHCl3 going from static in one position to moving dynamically between these eight positions is R ln 8. The present complex confirms that dynamics of a solvate molecule in a solid-state lattice dramatically affect the rate of intramolecular electron transfer in mixed-valence complexes. The relationship between the rate of intramolecular electron transfer and disordering of the solvate molecules is discussed by comparing the present results with the phase transitions found in the analogous complexes [Fe3O(O2CCH3)6(4-Me-py) 3](CHCl3) and [Fe3O-(O2CCH3)6(4-Me-py) 3](CH3CCl3), where 4-Me-py is 4-methylpyridine.

Original languageEnglish
Pages (from-to)1067-1073
Number of pages7
JournalInorganic Chemistry
Volume28
Issue number6
Publication statusPublished - 1989 Dec 1
Externally publishedYes

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Phase Transition
Specific heat
Entropy
Hot Temperature
Phase transitions
specific heat
Electrons
valence
Molecules
molecules
electron transfer
entropy
Chloroform
symmetry
Nuclear magnetic resonance
Iron
solid state
Gases
X-Rays
nuclear magnetic resonance

ASJC Scopus subject areas

  • Inorganic Chemistry

Cite this

Kaneko, Y., Nakano, M., Sorai, M., Jang, H. G., & Hendrickson, D. N. (1989). Heat capacity and phase transition of the mixed-valence compound [Fe3O(O2CCH3)6(py) 3](CHCl3). Inorganic Chemistry, 28(6), 1067-1073.

Heat capacity and phase transition of the mixed-valence compound [Fe3O(O2CCH3)6(py) 3](CHCl3). / Kaneko, Yuki; Nakano, Motohiro; Sorai, Michio; Jang, Ho Gyeom; Hendrickson, David N.

In: Inorganic Chemistry, Vol. 28, No. 6, 01.12.1989, p. 1067-1073.

Research output: Contribution to journalArticle

Kaneko, Y, Nakano, M, Sorai, M, Jang, HG & Hendrickson, DN 1989, 'Heat capacity and phase transition of the mixed-valence compound [Fe3O(O2CCH3)6(py) 3](CHCl3)', Inorganic Chemistry, vol. 28, no. 6, pp. 1067-1073.
Kaneko, Yuki ; Nakano, Motohiro ; Sorai, Michio ; Jang, Ho Gyeom ; Hendrickson, David N. / Heat capacity and phase transition of the mixed-valence compound [Fe3O(O2CCH3)6(py) 3](CHCl3). In: Inorganic Chemistry. 1989 ; Vol. 28, No. 6. pp. 1067-1073.
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abstract = "The heat capacity of the mixed-valence complex [Fe3O(O2CCH3)6(py) 3](CHCl3), where py is pyridine, has been measured with an adiabatic calorimeter between 14 and 300 K. A phase transition with two peaks closely centered at 207.14 and 208.19 K has been found. The enthalpy and entropy of the phase transition are ΔH = 5107 ± 44 J mol-1 and ΔS = 28.10 ± 0.44 J K-1 mol-1. By comparing the present calorimetric results with available 57Fe M{\"o}ssbauer, X-ray structural, and solid-state 2H NMR data for the complex with a CDCl3 solvate molecule, we concluded that the phase transition is associated with the onset of intramolecular electron transfer in the mixed-valence Fe3O complexes and the onset of orientational disordering of the chloroform solvate molecules. The former contribution to ΔS is R ln 4 while the latter is R ln 8, where R is the gas constant. The total entropy gain, R ln 32 (=28.82 J K-1 mol-1), agrees well with the observed ΔS. In the high-temperature phase, each Fe3O complex is dynamically interconverting between four vibronic states, in one of which the complex has C3 symmetry and is electronically delocalized. In each of the other three states, the {"}extra{"} electron is trapped on one of the iron ions. The contribution for the solvate molecule is in keeping with a model derived from the 2H NMR studies. In this model the C-H vector of the CHCl3 solvate molecule is moving between four equally probable positions, one with the C-H vector along the C3-symmetry axis, which is also the axis along which the Fe3O complexes are stacked. The other three positions have the C-H vector directed off the C3 axis on a cone that makes an angle of 24.7° with the C3 axis. Since the CHCl3 solvate molecule sits on a 32 symmetry site, the number of the total positions of the C-H vector is 8 (4 up and 4 down), and hence the entropy gain for the CHCl3 going from static in one position to moving dynamically between these eight positions is R ln 8. The present complex confirms that dynamics of a solvate molecule in a solid-state lattice dramatically affect the rate of intramolecular electron transfer in mixed-valence complexes. The relationship between the rate of intramolecular electron transfer and disordering of the solvate molecules is discussed by comparing the present results with the phase transitions found in the analogous complexes [Fe3O(O2CCH3)6(4-Me-py) 3](CHCl3) and [Fe3O-(O2CCH3)6(4-Me-py) 3](CH3CCl3), where 4-Me-py is 4-methylpyridine.",
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T1 - Heat capacity and phase transition of the mixed-valence compound [Fe3O(O2CCH3)6(py) 3](CHCl3)

AU - Kaneko, Yuki

AU - Nakano, Motohiro

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N2 - The heat capacity of the mixed-valence complex [Fe3O(O2CCH3)6(py) 3](CHCl3), where py is pyridine, has been measured with an adiabatic calorimeter between 14 and 300 K. A phase transition with two peaks closely centered at 207.14 and 208.19 K has been found. The enthalpy and entropy of the phase transition are ΔH = 5107 ± 44 J mol-1 and ΔS = 28.10 ± 0.44 J K-1 mol-1. By comparing the present calorimetric results with available 57Fe Mössbauer, X-ray structural, and solid-state 2H NMR data for the complex with a CDCl3 solvate molecule, we concluded that the phase transition is associated with the onset of intramolecular electron transfer in the mixed-valence Fe3O complexes and the onset of orientational disordering of the chloroform solvate molecules. The former contribution to ΔS is R ln 4 while the latter is R ln 8, where R is the gas constant. The total entropy gain, R ln 32 (=28.82 J K-1 mol-1), agrees well with the observed ΔS. In the high-temperature phase, each Fe3O complex is dynamically interconverting between four vibronic states, in one of which the complex has C3 symmetry and is electronically delocalized. In each of the other three states, the "extra" electron is trapped on one of the iron ions. The contribution for the solvate molecule is in keeping with a model derived from the 2H NMR studies. In this model the C-H vector of the CHCl3 solvate molecule is moving between four equally probable positions, one with the C-H vector along the C3-symmetry axis, which is also the axis along which the Fe3O complexes are stacked. The other three positions have the C-H vector directed off the C3 axis on a cone that makes an angle of 24.7° with the C3 axis. Since the CHCl3 solvate molecule sits on a 32 symmetry site, the number of the total positions of the C-H vector is 8 (4 up and 4 down), and hence the entropy gain for the CHCl3 going from static in one position to moving dynamically between these eight positions is R ln 8. The present complex confirms that dynamics of a solvate molecule in a solid-state lattice dramatically affect the rate of intramolecular electron transfer in mixed-valence complexes. The relationship between the rate of intramolecular electron transfer and disordering of the solvate molecules is discussed by comparing the present results with the phase transitions found in the analogous complexes [Fe3O(O2CCH3)6(4-Me-py) 3](CHCl3) and [Fe3O-(O2CCH3)6(4-Me-py) 3](CH3CCl3), where 4-Me-py is 4-methylpyridine.

AB - The heat capacity of the mixed-valence complex [Fe3O(O2CCH3)6(py) 3](CHCl3), where py is pyridine, has been measured with an adiabatic calorimeter between 14 and 300 K. A phase transition with two peaks closely centered at 207.14 and 208.19 K has been found. The enthalpy and entropy of the phase transition are ΔH = 5107 ± 44 J mol-1 and ΔS = 28.10 ± 0.44 J K-1 mol-1. By comparing the present calorimetric results with available 57Fe Mössbauer, X-ray structural, and solid-state 2H NMR data for the complex with a CDCl3 solvate molecule, we concluded that the phase transition is associated with the onset of intramolecular electron transfer in the mixed-valence Fe3O complexes and the onset of orientational disordering of the chloroform solvate molecules. The former contribution to ΔS is R ln 4 while the latter is R ln 8, where R is the gas constant. The total entropy gain, R ln 32 (=28.82 J K-1 mol-1), agrees well with the observed ΔS. In the high-temperature phase, each Fe3O complex is dynamically interconverting between four vibronic states, in one of which the complex has C3 symmetry and is electronically delocalized. In each of the other three states, the "extra" electron is trapped on one of the iron ions. The contribution for the solvate molecule is in keeping with a model derived from the 2H NMR studies. In this model the C-H vector of the CHCl3 solvate molecule is moving between four equally probable positions, one with the C-H vector along the C3-symmetry axis, which is also the axis along which the Fe3O complexes are stacked. The other three positions have the C-H vector directed off the C3 axis on a cone that makes an angle of 24.7° with the C3 axis. Since the CHCl3 solvate molecule sits on a 32 symmetry site, the number of the total positions of the C-H vector is 8 (4 up and 4 down), and hence the entropy gain for the CHCl3 going from static in one position to moving dynamically between these eight positions is R ln 8. The present complex confirms that dynamics of a solvate molecule in a solid-state lattice dramatically affect the rate of intramolecular electron transfer in mixed-valence complexes. The relationship between the rate of intramolecular electron transfer and disordering of the solvate molecules is discussed by comparing the present results with the phase transitions found in the analogous complexes [Fe3O(O2CCH3)6(4-Me-py) 3](CHCl3) and [Fe3O-(O2CCH3)6(4-Me-py) 3](CH3CCl3), where 4-Me-py is 4-methylpyridine.

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