You should definitely try to acquire materials that Vanderbilt Libraries don't have through Interlibrary Loan. Articles typically arrive within a week (many are faster, some may take longer), and are delivered electronically. Loans generally take 1-2 weeks to arrive (but delivery time varies widely). Our interlibrary loan department will notify you by email when your loan is available. The use period and any renewal period is set by the lending library.
The form to fill out is here.