Related Experiment Video
Updated: Jun 21, 2026

08:32
Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting
Published on: May 14, 2016
Interdiffusion in liquid Al-Cu and Ni-Cu alloys
1Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People's Republic of China.
The Journal of Chemical Physics
|August 7, 2009
Summary
Molecular dynamics simulations reveal differences in how the Darken relation predicts Maxwell-Stefan diffusivities in liquid aluminum-copper and nickel-copper alloys. These findings aid in understanding alloy solidification and dendrite growth.
Area of Science:
- Materials Science
- Computational Materials Science
- Physical Chemistry
Background:
- Understanding interdiffusion is crucial for predicting alloy behavior during solidification.
- Liquid alloys like Al-Cu and Ni-Cu are technologically important, but their diffusion mechanisms require detailed study.
Purpose of the Study:
- To investigate interdiffusion processes in liquid Al-Cu and Ni-Cu alloys using molecular dynamics.
- To compare the predictive accuracy of the Darken relation against Maxwell-Stefan diffusivities.
- To calculate Fickian interdiffusivities and assess their dependence on alloy composition and undercooling.
Main Methods:
- Molecular dynamics simulations were employed to model liquid Al-Cu and Ni-Cu systems.
- Maxwell-Stefan diffusivities were computed using both the Green-Kubo method and the Darken relation.
- Fickian interdiffusivities were derived from calculated Maxwell-Stefan diffusivities and alloy activities.
Main Results:
- The Darken relation accurately predicts Maxwell-Stefan diffusivity for Ni-Cu alloys but overestimates it for Al-Cu alloys, particularly at medium concentrations.
- Fickian interdiffusivities exhibit strong composition dependence in both alloy systems.
- Estimates of Fickian interdiffusivities under varying undercooling conditions were obtained for specific Al-Cu and Ni-Cu compositions.
Conclusions:
- The study highlights the limitations of the Darken relation for certain alloy systems.
- The calculated interdiffusivities provide valuable data for refining solidification models.
- The findings contribute to improved quantitative predictions of dendrite growth velocity in alloys.
Related Concept Videos
Metallic Solids
Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many...
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many...
Liquid–Solid Solutions
The process of a solid dissolving in a liquid to form a solution is governed by the solubility limit, which is the maximum amount of the solid substance, or solute, that can be dissolved in a specific volume of the liquid or solvent. As the solute dissolves, it reaches a point where no more solute can be dissolved at a given temperature - this is known as the saturation point. However, if further solute is added and it manages to dissolve, the solution becomes supersaturated. Supersaturated...
Nonideal Two-Component Liquid Solutions
Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...
Solid–Solid Solutions
The temperature-composition phase diagram of two solids, A and B, which are immiscible in the solid phase but form miscible liquids, shows that when the temperature is low, these two exist as separate, pure solids (A and B). As the temperature increases, they transition into a single-phase liquid solution where A and B coexist. Moving from point a1 to a2 in the phase diagram, the composition changes such that solid B begins to separate from the solution, enriching the remaining liquid with A.
Bonding in Metals
Metallic bonds are formed between two metal atoms. A simplified model to describe metallic bonding has been developed by Paul Drüde called the “Electron Sea Model”.
Two Components: Liquid–Liquid Systems
A pressure-composition phase diagram explicitly describes the behavior of an ideal solution of two volatile liquids under varying pressures and compositions. A pressure-composition diagram has two main curves. The bubble point curve represents the plot of pressure versus liquid mole fraction. It indicates the pressure at which the first bubble of vapor forms from the liquid phase as the system pressure decreases.The dew point curve is the pressure versus vapor mole fraction. It indicates the...

