1977General Procedure for Second Cycloaddition. The appropriate monocycloaddition product was dissolved in enough toluene to make the solution -0.10 M. The solution was degassed by bubbling argon through for -5 min. The solution was heated in a sealed tube at 240 OC for 3-5 h. The solution was concentrated and the residue chromatographed on silica gel using ether-hexane as the solvent. 1,2,4a,4b,7,8,8a,9a-Octahydro-7,8-dimethy1-3,9H-fluorene-3,9dione (lla): yield 0.16 g (35% overall); IR (film) 1720, 1745, 1450 cm-I; N M R (CDCI3) 6 1.1-1.35 (m, 6 H), 2.0-3.1 (broad m, 12 H), 1,2,4a,4b,7,8,8a,9a-Octahydro-7-methyl-8-phenyl-3-tert-butyldimethylsilyloxy-9H-fluoren-9-one (llb): yield 0.26 g (32% overall); N M R (CC14) 6 0.20 (s, 6 H), 0.70 (d, 3 H, J = 7 Hz), 1.0 (s, 9 H), 5.05(m,1 H),6.20(m,2H),7.5(m,5H);IR(film)cm-i1735,1648, 1250, 1190, 835, 780; high-resolution mass spectrum C26H3602Si requires 408.248 47, measured 408.248 56.1,2,4a,4b,7,9a-Hexahydro-7-methyl-8-phenyl-3-tert-butyldimethylsilyloxy-9H-fluoren-9-one (13a): yield 0.24 g (30% overall); NMR (CC14) 6 0.2 (s, 6 H), 1.0 (s, 9 H), 5.1 (m, 1 H), 5.85 (m, 1 H), 6.0 (m, 1 H), 7.4 (m, 5 H); IR (film) cm-I 1720, 1660, 1250, 1190, 832; high-resolution mass spectrum C26H3402Si requires 406.232 8 1, measured 406.232 70. 1,2,4a,4b,7,9a-Hexahydro-7,9a-dimethyl-8-phenyl-3-tert-butyldimethylsilyloxy-9H-fluoren-9-one (13b): yield 0.235 g (28% overall); NMR (CC14) 6 0.20 (s, 6 H), 1.0 (s, 9 H), 5.0 (m, 1 H), 5.90 (m, 1 H), 6.05 (m, 1 H), 7.50 (m, 5 H); IR (film) cm-' 1720,1640,1460,1190, 830; high-resolution mass spectrum C27H3602Si requires 420.248 46, measured 420.248 38. 7-Methyl-3-tert-butyIdimethylsilyloxy-9~-fluoren-9-one (16). To a stirred solution of 22 mg of 15 in 2 mL of toluene was added 30 mg of DDQ. The reaction mixture was refluxed for 24 h. The solution was diluted with ether, filtered, and concentrated: yield 0.21 g (100%); N M R (CDCI3) 6 0.28 (s, 6 H), 1.02 (s, 9 H), 2.36 (s, 3 H), 7.45 (m, 5.6-5.9 (bs, 2 H). 6H); IR(CHCI3)cm-' 1700,1600, 1255, 1215,833,791;high-resolution mass spectrum C20H2402Si requires 324.1 54 56, measured 324.151 14; UV (MeOH) 256,278 nm.Abstract: The protonation constant (~K B H + ) of 8-methoxypsoralen was determined from measurements of its absorption in various concentrations of sulfuric and perchloric acids using Hammett acidity functions. Proton nuclear magnetic resonance spectra of highly acidic solutions indicated protonation of the exocyclic oxygen atom. With D2S04. proton exchange with the furan side of the molecule (4'3' positions) was observed. The intensity of fluorescence of the conjugated acid increases markedly with increasing acid concentration in solutions where absorption measurements indicate that protonation is nearly complete. This unexpected behavior is discussed and a mechanism is proposed.