I am conducting a survey among university lecturers using a questionnaire but I am only interested in lecturers that teach modules on Intellectual Property.
This is just a matter of clearly defining the population of interest from which you will draw a (presumably random) sample -- not really quite like purposive sampling in qualitative research, which is missing that element of randomness. Any sample for a study in which you want to use inferential statistics should (well, must) have a clearly defined population, so that you can be clear as to who/what your inferences are about.
Convenience sampling is much closer to purposive sampling. Both samples with a purpose in mind and the study results do not usually generalize to the target population. However, in your case, purposive sampling will be best for you. Convenience sampling only occurs when you conveniently sample from a group of qualified individuals.
In my opinion, none because of the randomness of the quantitative sampling and the intentionality according to certain parameters of the intentional sampling. Another thing is that you choose a group on an intentional basis and then within that group you make a random sample.
I agree with Ariel Lindorff that this is primarily a matter of defining the population, and then drawing a random sample from the eligible participants.
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