Experimental study and modelling of copper precipitation under electron irradiation in dilute FeCu binary alloys

Mathon, Marie Hélène; Barbu, A.; Dunstetter, F.; Maury, F.; Lorenzelli, N.; Novion, C.H. de

doi:10.1016/s0022-3115(97)00010-x

Cited by 156 publications

(150 citation statements)

References 19 publications

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“…1, the quodon generation rate under irradiation conditions [17] can exceed the displacement rate by 6 orders of magnitude, and the density of quodon gas becomes comparable to that of Debye phonons at the electron flux of 10 24 m −2 s −1 , which corresponds to the displacement rate of ∼ 5×10 −3 s −1 that is a typical value for radiation damage studies using electron beams. So we may conclude that under irradiation a crystal contains a mixture of "gases" of quasi-particles, namely, almost equilibrium phonons and strongly non-equilibrium quodons, the densities of which may be comparable.…”

Section: Gas Of Quodonsmentioning

confidence: 95%

“…The reaction activation barrier is determined by the maximum free The temperature dependence of the quodon propagation range lq(T ) and the density of quodon gas vs. electron flux, F irr = Fe at the irradiation temperature 563 K. The vertical dotted line corresponds to irradiation flux [17]. Density of the gas of Debye phonons at 563 K is shown for comparison.…”

Section: Modification Of Reaction Rates In Solids Under Irradiationmentioning

confidence: 99%

“…aggregation of copper impurities into nano-sized clusters of copper atoms -precipitates), since the precipitates acts as traps for gliding dislocations, which makes the material less ductile and more brittle. These phenomena are called the irradiation hardening and embrittlement of steels [17]. So the kinetics of precipitate nucleation and growth has been the focus of extensive experimental and theoretical studies [19,20,21,22,23].…”

Section: Modeling Of the Precipitation Kinetics Under Irradiation In mentioning

confidence: 99%

“…where Q is the total volume fraction of solute atoms, and the latter (C R ) is usually derived from thermodynamic considerations [17,19]:…”

Section: Classical Rate Theory Of the Precipitation Kineticsmentioning

confidence: 99%

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Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation

Dubinko

Шаповалов

2013

Nonlinear Systems and Complexity

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Rate theory of the radiation-induced precipitation in solids is modified with account of non-equilibrium fluctuations driven by the "gas" of lattice solitons (a.k.a. "quodons") produced by irradiation. According to quantitative estimations, a steady-state density of the quodon gas under sufficiently intense irradiation can be as high as the density of phonon gas. The quodon gas may be a powerful driver of the chemical reaction rates under irradiation, the strength of which exponentially increases with irradiation flux and may be comparable with strength of the phonon gas that exponentially increases with temperature. The modified rate theory is applied to modelling of copper precipitation in FeCu binary alloys under electron irradiation. In contrast to the classical rate theory, which disagrees strongly with experimental data on all precipitation parameters, the modified rate theory describes quite well both the evolution of precipitates and the matrix concentration of copper measured by different methods.

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Section: Gas Of Quodonsmentioning

confidence: 95%

Section: Modification Of Reaction Rates In Solids Under Irradiationmentioning

confidence: 99%

Section: Modeling Of the Precipitation Kinetics Under Irradiation In mentioning

confidence: 99%

“…where Q is the total volume fraction of solute atoms, and the latter (C R ) is usually derived from thermodynamic considerations [17,19]:…”

Section: Classical Rate Theory Of the Precipitation Kineticsmentioning

confidence: 99%

See 2 more Smart Citations

Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation

Dubinko

Шаповалов

2013

Nonlinear Systems and Complexity

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“…4,8 Due to the relative simplicity, unmixing tendency, and large miscibility gap, Fe-Cu system serves as a benchmark case to study phase transformation kinetics. 5,[9][10][11][12][13][14][15][16][17] Various metastable synthesis techniques have been employed to form Fe-Cu alloys which can exhibit single phase fcc or bcc structures, depending on the relative ratio of the constituents. 7,18,19 Metastable fcc Fe-Cu phases are found to decompose into fcc Cu and bcc Fe phases at 1000 K. 19 Nevertheless, issues like Fe in Fe-Cu system exhibiting fcc structure, the so called c-Fe, is still a hot topic of discussion.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation of inhomogeneities, nanoscopic phase separation, and magnetism in arc melted Fe-Cu metals with equal atomic ratio of the constituents

Jaffari

Aftab²,

Anjum

et al. 2015

Journal of Applied Physics

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Composition gradient and phase separation at the nanoscale have been investigated for arc-melted and solidified with equiatomic Fe-Cu. Diffraction studies revealed that Fe and Cu exhibited phase separation with no trace of any mixing. Microscopy studies revealed that immiscible Fe-Cu form dense bulk nanocomposite. The spatial distribution of Fe and Cu showed existence of two distinct regions, i.e., Fe-rich and Cu-rich regions. Fe-rich regions have Cu precipitates of various sizes and different shapes, with Fe forming meshes or channels greater than 100 nm in size. On the other hand, the matrix of Cu-rich regions formed strips with fine strands of nanosized Fe. Macromagnetic response of the system showed ferromagnetic behavior with a magnetic moment being equal to about 2.13 μB/Fe atom and a bulk like negligible value of coercivity over the temperature range of 5–300 K. Anisotropy constant has been calculated from various laws of approach to saturation, and its value is extracted to be equal to 1350 J/m3. Inhomogeneous strain within the Cu and Fe crystallites has been calculated for the (unannealed) sample solidified after arc-melting. Annealed sample also exhibited local inhomogeneity with removal of inhomogeneous strain and no appreciable change in magnetic character. However, for the annealed sample phase separated Fe exhibited homogenous strain.

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Cluster Dynamics Modelling of Precipitation Kinetics in Al(Zr,Sc) Alloys

Guyot¹,

Laé²

2006

Adv Eng Mater

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In the modelling of the kinetics of first order phase transformations, classical theory of nucleation (CTN) and cluster dynamics (CD) rely both on the same physical basis: clusters (i.e. heterophase fluctuations or precipitates of the growing phase) exchange diffusing solute atoms, nucleate and grow in the matrix above a critical size. Both have to solve a set of kinetic master equations. [1][2][3][4] Their bond is given in the Martin talk of this conference. The CD approach is a numerical solving of the master equations which allow determining the time evolution of the cluster size distribution function and from it all physical quantities like cluster number density, mean cluster size, solute within the cluster and in solid solution _.The method is first applied to the precipitation of the ordered L1 2 Al 3 Zr(Sc) phase in binary AlZr and AlSc alloys, [4] and extended to ternary Al(ZrSc) alloys. It is shown that CD gives for multicomponent alloys new insights in the composition path of the precipitates which can be at departure of the classical concepts. Master Equations and Kinetics Coefficients Binary AlloysThe time evolution of the cluster size distribution function C n (t) containing n solute atoms must satisfy n differential equations:The absorption coefficient b n is controlled by the solute long range diffusion in series with its impingement rate on the cluster interface. The emission coefficient is deduced from the absorption one by application of a constraint equilibrium condition to the cluster gas b n S n R n DC 1 (for the purely diffusive mode),where S n , R n are the surface area, size of a n cluster and D is the solute diffusion coefficient. C n , the equilibrium distribution function of the cluster gas in a slightly supersaturated COMMUNICATIONS ADVANCED ENGINEERING MATERIALS 2006, 8, No. 12

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Experimental study and modelling of copper precipitation under electron irradiation in dilute FeCu binary alloys

Cited by 156 publications

References 19 publications

Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation

Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation

Experimental investigation of inhomogeneities, nanoscopic phase separation, and magnetism in arc melted Fe-Cu metals with equal atomic ratio of the constituents

Cluster Dynamics Modelling of Precipitation Kinetics in Al(Zr,Sc) Alloys

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