In the early 1960s, as part of R. B. Woodward's isoxazole route to vitaminB 12 ,S ubramania Ranganathan uncovered two coupled sets of stereospecific reactions, at hermal set and ap hotochemicals et. These four reactions illustrated the alternatingc onfigurations that were the majord ata points that prompted the solution of the no-mechanism problem. Though Ranganathan's reactions played am ajor role, according to Woodward,i nt he development of the Woodward-Hoffmann rules, they were published only as part of the documentation of al ectureg iven by Woodward in 1966. The authors of this paper have uncovered Subramania Ranganathan's 1964 postdoctoral report and have used modern quantum chemical theory to predict the 1 HNMR spectra for Ranganathan's key compounds, providing support for the structure assignments madeb yW oodward and Ranganathan. As imilar set of alternating, stereospecific reactions was observed by E. J. Corey and Alfred Hortmann in their 1963t otal synthesis of dihydrocostunolide. We also have applied the computational process used for Ranganathan'sc ompounds to Hortmann's compounds, now also includingt he calculationo fc oupling constants, and find computational support for Coreya nd Hortmann's structure assignments.