What is the relation between upsilon phi sigma and phi?

There is no known relation between Upsilon Phi Sigma and Phi. Upsilon Phi Sigma is an American collegiate honor society established at the University of South Carolina in 1920 for senior and junior men "of high character and scholarship who shall have shown their interest and ability in chemistry." On the other hand, Phi is the 21st letter of the Greek alphabet. It is often used to refer to the golden ratio, which is approximately equal to 1.618.