Well, there is no volumetric change as a result of the quench and temper process. A volumetric change would result in a change in the density of the part (since the weight of the part does not change, assuming the heating is performed in a controlled atmosphere to prevent loss due to scaling). Since the density after heat treatment is the same as it was before heat treatment, the overall volume of the part is the same. (OK, this may not be 100% accurate, particularly with castings, but any changes due to a change in density are miniscule to the changes caused by distortion)
There are significant volumetric changes that occur during the heat treating process, however, and these changes will result in distortion. That is, the dimensions will change. In some directions, they will increase (grow), and in others, they will decrease (shrink), as indicated in my first response. Which dimensions will grow and which ones will shrink all depends on a myiad of factors that you will never be able to satisfactorly account for.
The only "rule of thumb" that I am aware of is that you will generally see less than +/- 1%. That is, if a pre-heat treat dimension is 1.000", after heat treatment you can expect it to be between 0.990 and 1.010". Now, I have seen considerably higher amounts of distortion, but these are generally special case instances for long bars with very high length to diameter ratios or rings with high daimeter to thickness ratios. But, as a general rule, +/- 1% is a good place to start.
rp