$Excess free volume in metallic glasses measured by X-ray diffraction$
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Excess free volume in metallic glasses measured by X-ray diffraction

In crystalline materials, lattice expansion as measured by diffraction methods differs from the expansion of the sample dimensions as measured by dilatometry, due to the contribution of thermal vacancies to the latter. We have found that in glassy materials and metallic glasses in particular, this i...

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Published in:	Acta materialia Vol. 53; no. 6; pp. 1611 - 1619
Main Authors:	Yavari, Alain Reza, Moulec, Alain Le, Inoue, Akihisa, Nishiyama, Nobuyuki, Lupu, Nicoleta, Matsubara, Eiichiro, Botta, Walter José, Vaughan, Gavin, Michiel, Marco Di, Kvick, Åke
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01-04-2005 Elsevier Science
Subjects:	Applied sciences Deformation Diffraction Exact sciences and technology Free volume Metallic glass Metals. Metallurgy Relaxation Synchrotron light Thermal expansion Thermal expansion Relaxation Deformation Diffraction Free volume Synchrotron light Metallic glass Metallic glasses Amorphous alloy X ray diffraction Expansion
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Abstract	In crystalline materials, lattice expansion as measured by diffraction methods differs from the expansion of the sample dimensions as measured by dilatometry, due to the contribution of thermal vacancies to the latter. We have found that in glassy materials and metallic glasses in particular, this is not the case for the contribution of free volume. These findings are the first direct experimental confirmation of simulation results indicating that atomic size holes are unstable in glasses such that free volume is dispersed randomly. This allows direct measurement of excess free volume in glasses using diffraction methods in place of dilatometry, which is difficult to use once the sample softens at the glass transition temperature T g and above. Quenched-in and deformation-induced free-volume Δ V f were measured by X-ray diffraction in transmission during heating using synchrotron light. The measured thermal expansion coefficients α th were the same as in dilatometry. The glass transition T g appeared as a break in the value of α th at T g. The “change-of-slope method” was applied to the kinetics of relaxation to derive the activation energy for the free-volume annihilation process.
AbstractList	In crystalline materials, lattice expansion as measured by diffraction methods differs from the expansion of the sample dimensions as measured by dilatometry, due to the contribution of thermal vacancies to the latter. We have found that in glassy materials and metallic glasses in particular, this is not the case for the contribution of free volume. These findings are the first direct experimental confirmation of simulation results indicating that atomic size holes are unstable in glasses such that free volume is dispersed randomly. This allows direct measurement of excess free volume in glasses using diffraction methods in place of dilatometry, which is difficult to use once the sample softens at the glass transition temperature Tg and above. Quenched-in and deformation-induced free-volume DeltaVf were measured by X-ray diffraction in transmission during heating using synchrotron light. The measured thermal expansion coefficients a h were the same as in dilatometry. The glass transition Tg appeared as a break in the value of ath at Tg. The "change-of-slope method" was applied to the kinetics of relaxation to derive the activation energy for the free-volume annihilation process. (Example materials: palladium base alloys, zirconium base alloys.) In crystalline materials, lattice expansion as measured by diffraction methods differs from the expansion of the sample dimensions as measured by dilatometry, due to the contribution of thermal vacancies to the latter. We have found that in glassy materials and metallic glasses in particular, this is not the case for the contribution of free volume. These findings are the first direct experimental confirmation of simulation results indicating that atomic size holes are unstable in glasses such that free volume is dispersed randomly. This allows direct measurement of excess free volume in glasses using diffraction methods in place of dilatometry, which is difficult to use once the sample softens at the glass transition temperature T g and above. Quenched-in and deformation-induced free-volume Δ V f were measured by X-ray diffraction in transmission during heating using synchrotron light. The measured thermal expansion coefficients α th were the same as in dilatometry. The glass transition T g appeared as a break in the value of α th at T g. The “change-of-slope method” was applied to the kinetics of relaxation to derive the activation energy for the free-volume annihilation process.
Author	Moulec, Alain Le Vaughan, Gavin Lupu, Nicoleta Kvick, Åke Nishiyama, Nobuyuki Yavari, Alain Reza Botta, Walter José Matsubara, Eiichiro Inoue, Akihisa Michiel, Marco Di
Author_xml	– sequence: 1 givenname: Alain Reza surname: Yavari fullname: Yavari, Alain Reza email: yavari@ltpcm.inpg.fr, euronano@ltpcm.inpg.fr organization: Euronano, LTPCM-CNRS, Institut National Polytechnique de Grenoble, 1130 rue de la Piscine, BP 75, 38402 St-Martin-d’Hères Campus, France – sequence: 2 givenname: Alain Le surname: Moulec fullname: Moulec, Alain Le organization: Euronano, LTPCM-CNRS, Institut National Polytechnique de Grenoble, 1130 rue de la Piscine, BP 75, 38402 St-Martin-d’Hères Campus, France – sequence: 3 givenname: Akihisa surname: Inoue fullname: Inoue, Akihisa organization: Institute for Materials Research, Tohoku University, 980-8577 Sendai, Japan – sequence: 4 givenname: Nobuyuki surname: Nishiyama fullname: Nishiyama, Nobuyuki organization: Institute for Materials Research, Tohoku University, 980-8577 Sendai, Japan – sequence: 5 givenname: Nicoleta surname: Lupu fullname: Lupu, Nicoleta organization: Euronano, LTPCM-CNRS, Institut National Polytechnique de Grenoble, 1130 rue de la Piscine, BP 75, 38402 St-Martin-d’Hères Campus, France – sequence: 6 givenname: Eiichiro surname: Matsubara fullname: Matsubara, Eiichiro organization: Institute for Materials Research, Tohoku University, 980-8577 Sendai, Japan – sequence: 7 givenname: Walter José surname: Botta fullname: Botta, Walter José organization: Euronano, LTPCM-CNRS, Institut National Polytechnique de Grenoble, 1130 rue de la Piscine, BP 75, 38402 St-Martin-d’Hères Campus, France – sequence: 8 givenname: Gavin surname: Vaughan fullname: Vaughan, Gavin organization: European Synchrotron Radiation Facilities (ESRF), 38042 Grenoble, France – sequence: 9 givenname: Marco Di surname: Michiel fullname: Michiel, Marco Di organization: European Synchrotron Radiation Facilities (ESRF), 38042 Grenoble, France – sequence: 10 givenname: Åke surname: Kvick fullname: Kvick, Åke organization: European Synchrotron Radiation Facilities (ESRF), 38042 Grenoble, France
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Snippet	In crystalline materials, lattice expansion as measured by diffraction methods differs from the expansion of the sample dimensions as measured by dilatometry,...
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SubjectTerms	Applied sciences Deformation Diffraction Exact sciences and technology Free volume Metallic glass Metals. Metallurgy Relaxation Synchrotron light Thermal expansion
Title	Excess free volume in metallic glasses measured by X-ray diffraction
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