The phrase "enthusiasm of students" is correct and can be used in written English.
Example: The enthusiasm of the students was evident during the school's science fair, as they eagerly shared their projects with visitors and enthusiastically explained their experiments.
Many are hooking up with foreign partners with the randy enthusiasm of students on spring break.
It was great getting to meet you & I am especially grateful for the enthusiasm of students!
They cite the enthusiasm of students and the quality of work those students now produce.
This time it was about engagement and I was pleasantly surprised that the enthusiasm of students was palpable.
It was hard to reconcile the enthusiasm of students and parents with the tensions among some of the staff.
The rallies for the president on Saturday in Columbus, Ohio, and Richmond, Va., are expected to help capture the enthusiasm of students before the summer begins.
As a result of this successful program and the enthusiasm of the students, one unanimous appeal from the students has been for the opportunity for further study to the Teachers Certificate (Pre-Primary) level, again by distance education mode.
The enthusiasm of medical students to engage in research is particularly evident from the growth of student-authored peer-reviewed publications over previous decades.
Over time, the impressive number of student proposals encouraged several of our classmates to make larger gifts and the enthusiasm of the students for Class of 80 grants continued to grow.
Aside from feeling astonished at the enthusiasm of the students, a newcomer might be thrown off balance by the gender "imbalance" of the teams – male students are decidedly a minority here.
As a result, these important issues do not arouse the enthusiasm of architecture students or building professionals.
