Definition and description of different diffusion terms

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Definition and description of different diffusion terms efore proceeding further, it is necessary to introduce different terms frequently used in diffusion studies.

1 Definition and description of different diffusion terms efore proceeding further, it is necessary to introduce different terms frequently used in diffusion studies. Many terms will be introduced, which are not necessarily discussed in general books. Till now we discussed diffusion without classifying the type. For example, diffusion can be classified in mainly two categories: interstitial and substitutional. We will not discuss about another, not so common, interstitialcy diffusion. Host atoms occupy the lattice points. Interstitial atoms, such as C, H, O occupy the interstitial voids in metals, for example in Fe. When interstitial atoms jump from one interstitial void to another it is called interstitial diffusion.

2 When host atoms jump to another lattice position it is called substitutional diffusion. It must be clear from the figure in the previous slide that substitutional diffusion is possible only when a vacant site or vacancy is available on the next lattice position. Further, it should be noticed that atoms cannot jump easily. In general the void through which the atom should jump is smaller than its size. So first it should push away the neighboring atoms and then jump. Diffusion will be possible, only when it gains enough energy to push neighboring atoms. This is called the activation barrier. The energy required is called the activation energy for migration. If no particular interstitial atom is smaller than the other, it needs less energy for migration and diffusion rate is higher.

3 s we have seen already, the presence of vacancy is important for substitutional diffusion. Formation of vacancy has its own activation energy barrier. So there are two contributions in activation energy barrier, one from migration and another from vacancy formation. This is also the reason that the interstitial diffusion rate is higher than the substitutional diffusion. Further, we know that there can be many types of defects which are present in the structure. Impurities and vacancies are the common point defects. Dislocations are the common line defects.

4 Pipe diffusion: When diffusion occurs via edge dislocation, it is called pipe diffusion. Since it feels like movement of atoms through a pipe. Note that both interstitial and substitutional diffusion can occur via dislocations. Even impurities are attracted by the dislocations because of availability of more space and chance to release stress. This is also the reason (more open space) that it has lower activation barrier and diffusion rate through dislocation is higher than the diffusion through lattice.

5 Diffusion occurs via grain boundaries even easily and it is called grain boundary diffusion. Since grain boundaries are relatively more open structure compared to atomic structure inside the grains, the barrier for diffusion through grain boundary is much less and the diffusion rate is higher. Rate of diffusion increases with the increase in misorientations.

6 Surface diffusion: When diffusion occurs over a surface, it is called surface diffusion. Here activation energy for diffusion is the lowest since there are no atoms above the atom of interest, which exchanges position with the vacancy. So diffusion rate is the highest compared to other diffusion mechanisms. surface Diffusion coefficient Grain boundary lattice Surface diffusion 1/T Note that both interstitial and substitutional diffusion can happen through, lattice, dislocations, grain boundaries and surface. Slope of the diffusion coefficient vs. 1/T gives the activation barrier for diffusion. ctivation barrier is the lowest and diffusion rate is the highest for the surface diffusion. ctivation barrier is the highest and diffusion rate is the lowest for lattice diffusion.

Diffusion couple: When two blocks with different compositions are joined (coupled) together and annealed to allow diffusion between them, it is called diffusion couple.

7 Diffusion couple: When two blocks with different compositions are joined (coupled) together and annealed to allow diffusion between them, it is called diffusion couple. Interdiffusion (chemical diffusion): Since elements in the diffusion couple interdiffuse to each other, it is called interdiffusion. The diffusion coefficient is in general called as interdiffusion coefficient and if sometimes any new compound forms during the diffusion at the interface, occasionally, it is called chemical diffusion coefficient. Note that actually elements and diffuse. Diffusion of these elements are called intrinsic diffusion of elements. Intrinsic and interdiffusion flux: The flux of elements and, denoted by J and J, respectively, are called the intrinsic flux of elements and, respectively, Interdiffusion flux ( ~ ) is kind of average of these two fluxes. J

8 Similarly, D and D are the intrinsic diffusion coefficients of the species and. Interdiffusion coefficient ( ) is related with the intrinsic diffusion coefficients as ~ D = C V D + C V D N D + D ~ These relations will be derived in following lectures N Self diffusion: When diffusion occurs without any presence of driving force, it is called self diffusion. toms vibrate at their positions and because of some violent jumps, it can cross the activation barrier to make the jump successful. Since there is no driving force to direct the jump of atoms to a particular direction, self diffusion is truly random in nature. D for V =V =V m This indicates that when a pure metal is kept at elevated temperature jump of atoms is always happening. In low melting point metals, like In or Sn, even at room temperature, atoms exchange their position. However, since these are very small in size, we cannot follow a particular atom jump. We shall see that the jump can be many orders of magnitude in one second. This makes it even difficult to follow the jump of atoms. To obviate this problem, concept of tracer diffusion is introduced.

Tracer diffusion: Radio isotopes are used in tracer method so that the movement of atoms can be traced and diffusion coefficient can be measured. It has only one or two neutron mass difference.

9 Tracer diffusion: Radio isotopes are used in tracer method so that the movement of atoms can be traced and diffusion coefficient can be measured. It has only one or two neutron mass difference. Diffusion rate of these tracer atoms are called tracer diffusion coefficient. Note: Self diffusion coefficient (D s ) is not necessarily equal to the tracer diffusion coefficient (D * ). These two are related as * D = f s D f is the correlation factor (f = 1 for interstitial diffusion) This method will be explained in detail. When tracer diffusion coefficient of element in pure material is measured, it is called impurity diffusion coefficient.

Phase Transformation of Materials

2009 fall Phase Transformation of Materials 10.08.2009 Eun Soo Park Office: 33-316 Telephone: 880-7221 Email: espark@snu.ac.kr Office hours: by an appointment 1 Contents for previous class Interstitial