'Instead of' vs 'In stead of'

Is the following sentence valid?

They did this in stead of that.

What is the correct usage of the phrase instead of?


Solution 1:

Stead as a noun exists, but is archaic. If you want to use it, it needs a specifier: his stead as in WS2's answer, or the stead. So you can say in the stead of; but instead of is much more common.

Solution 2:

Instead is usually written as one word. It does not mean however that in and stead, cannot be separated in some circumstances e.g.:

My father is too ill to go to the meeting so I shall go in his stead.