This is a classic Mad Scientist style Coat that buttons up the shoulder and at the side, with left chest pocker and right hip pocket, adjustment tab in the back. These are actually unisex in cut, squarish rather than a woman's fitted garment. For a steampunk twist, some alternate color schemes to the plain old white on white mad scientist coat.
Be fashionable in your secret laboratory/dungeon lair!
(Note to Self: Male Form/Mannequin added to my list of Supplies I Need)