(特别的) especial: (fml) To an usually great degree, exceptional; It emphasizes the importance of the things or the persons mentioned; This is a matter of especial importance.
(个别的) particular: Relating or belonging to only one thing or person. It stresses the distinctness of something as an individual which is worth notice. In that particular case, the rule doesn't hold.
(适用)(特种的) specific: Detailed and exact, clear in meaning and explanation, fixed, determined.(used in scientificarticles) It implies a quality or character distinguishing a kind or a species.
He gave me a very specific instruction. There is a specific tool for each job.
(独特的) peculiar: Strange or perhaps unpleasant. It implies strangeness. He has a peculiar way of speaking.