The phrase "a peculiar quality of" is correct and usable in written English.
It can be used to describe a distinctive or unusual characteristic of something or someone.
Example: "The artist's work possesses a peculiar quality of evoking deep emotions in the viewer."
Alternatives: "an unusual trait of" or "a distinctive feature of".
There are over a hundred & fifty thousand people in Greater Georgetown, and yet the city has a peculiar quality of having been abandoned.
Buchanan, in the words of Nick Carraway, the narrator of "Gatsby," is a man of "hard malice" with a "peculiar quality of oppressiveness".
But there is a peculiar quality of claustrophobic horror in Jewish reflections on the matter, for they are the chosen people whose whole history is of wrangling with God; yet an omnipotent God singled them out for this dreadful fate.
There is a peculiar quality of innocence defiled in the school murders in Trollhättan: the murderer was photographed inside the school by a 13-year-old girl who had nipped out from class to get a pen and thought he was dressed up for Halloween.
Robinson writes about a peculiar quality of "lyrical happiness" in the film, and states that Pather Panchali is "about unsophisticated people shot through with great sophistication, and without a trace of condescension or inflated sentiment".
He gloatingly asks how "an amoral datum called law could have the peculiar quality of creating an obligation to obey it" (Fuller, 1958).
They've got pastoral care to administer on a civic scale, and as they tap into the inhabitants' thoughts and dreams – Berliners halted on the streets, slumped in tenements or in U-Bahn carriages – Wings of Desire starts to hum with the introspection that is the peculiar quality of that city.
Dr. Lancaster, an experienced archeologist, whom Wally admires, is… Tells about the peculiar qualities of the town of Santa Fe, N.M., or what the writer calls "the Santa Fe sensation".
The process uses a bit of gold and what the UCI scientists figured out about the peculiar qualities of moth eyeballs.
