hi there in fact the have not very clear difference I guess. I write the meaning from a dictionary for you: Particularly : means more than usually : very, extremely . and used to indicate someone or something that "deserves" special mention eg: It has been a particularly [=especially] dry summer. especially: more than usually : very, extremely . eg: The facility was built especially [=specifically] for research. from another dictionary especially es·pe·cial·ly (ě-spěsh'ə-lē, ĭ-spěsh'-) adv. To an extent or degree deserving of special emphasis; particularly. particularly par·tic·u·lar·ly (pər-tĭk'yə-lər-lē, pə-tĭk'-) adv. To a great degree; especially: I particularly like the brown shoes. as you see they are not very different but. particularly is a little polite and fashionable! ;) I hope it'll help you.

some examples: particularly : I liked all the food, particularly [=especially] the dessert. He's good at all his subjects and he's particularly good at math. especially: He was especially concerned about the contract. an especially good essay