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Carbon diffusion
General
The diffusion of Carbon in iron is the source of many phenomenon. Steel comprises Iron and Carbon. The relative size of Carbon and Iron atoms makes possible that the Carbon atoms can slip between the gap of the crystal matrix of Iron atoms. Under certain conditions, these Carbon atoms can move in the crystal matrix of Iron: This is the diffusion.
As nature dislikes vacuum, the Carbon atoms will migrate from the richest zones towards the poorest zones, to tend towards a balance (homogeneous distribution of the Carbon atoms in Iron).
Influence of temperature
Atambient temperature, the phenomena of diffusion is practically non-existent! But with an increase in temperature, it will accelerate!
Indeed, when the matter is heated, the movements of the atoms around their position of balance increase. This agitation allows an easier circulation of the "small" atoms in the interstices.

The speed of diffusion of Carbon in Iron remains low. It is generaly evaluated in millimetres per hour.

Opposite, a curve showing the rate of for of Carbon in Iron according to temperature. The figure speaks for itself!
This speed can vary in steels according to the composition.
Practical consequence: Decarburization
When steel is heated in an environment lacking in Carbon, it tends to lose Carbon. This is Decarburization.
This phenomena occurs when steel is heated in the oxidizing zone of the forge, strongly lacking in Carbon. A strong and prolonged heating amplifies this effect!

In practice, take care of:
> Not heating in oxidizing zone.
> Not heating too much.
> Not heating for a too long time and unnecessarily.
> Removing (after hardening) a fine layer of steel at the level of the edge.
Practical consequence: Carburation
Conversely, if steel (or Iron) is heated in a environment in excess of Carbon, carbon will be absorbed and will diffuse in steel. It is the principle of Cementation.

As shown on the curve above this process is slow. This explains the durations for cementations (a few hours).
The temperature will influence:
> The speed of transfer of Carbon.
> The Carbon rate in Austenite and thus after cooling the final Carbon rate in the cemented steel.

See opposite the limit of solubility of Carbon in Iron. Thus if you want to obtain steel with 1.55% of carbon, it will be necessary to make a cementation at 1000°C during... a certain time taking into account the speed of diffusion of 0.8mm/hour!

The passage of a horn on the surface of red steel to bring it Carbon is thus an useless operation since Carbon will penetrate only on some hundredths of millimetre, which will be removed while polishing and sharpening!
Migration of the other elements
The alloy elements other than Carbon are not concerned with the diffusion. Their size does not allow their migration, even hot!
As example, a Molybden atom will need 1.6 years to move 1mm in steel at 1040°C and 2600 years in steel with 820°C.