Acetylene, C4H4, and CsHs form a series of strained hydrocarbons analogous to the ethylene, cyclopropane, cyclobutane senes. The "caged" structures of the two higher members of this series are formed from tetrahedral and cubic configurations of CH groups, respectively. Assuming that these two molecules possess bond lengths corresponding to paraffinic hydrocarbons, the strain energies are calculated by the procedure of Dunitz, Schomaker and Pauling, and by the electron pairing approximation of VB theory, and a comparison made of the results by the two methods. The heats of formation at 0 "K. thus derived are compared with the energies of certain isomers of CnH4 and C8HS, namely, vinylacetylene, cyclobutadiene (as yet unsynthesized), and cycloiictatetraene. Tetrahedral C~H I is found to have a strain energy of about 90 kcal./mole as compared to 59 kcal./mole in vinylacetylene and about 50 kcal. /mole in a hypothetical non-resonating model of cyclobutadiene.The true tetrahedral C4H4 probably has carbon-carbon bond lengths near 1.48 A. a t which distance the strain energy may be reduced to a value comparable with that of vinylacetylene. Cycloijctatetraene is found to be about 80 kcal./mole more stable than the cubic CsHs. (1) R. M. Beesley and J. F. Thorpe, PYOC. Ckem. SOL., 29, 346 (1913). (2) R. M. Beesley and J. F. Thorpe, Trans. Chem. Sac., 117, 591 (1920). (3) The full names for these compounds are tricyclo[l.l.0.0~~*]butane and tricyclo [4.2.0.0~*5.0~~80~~~]8ctane according to the system specified in A. M. Patterson and L. T. Capell, "The Ring Index," Reinhold Publ. Corp., New York, N. Y., 1940. (4) See, for example, a review of cyclobutadiene chemistry by W. Baker, J. Chem. Sac., 259 (1945). ( 5 ) C. A. Coulson and W. E. Moffitt, Phil. Mag., 40, 1 (1949). Dr.Moffitt bas, however, pointed out that theapplication of the Jahn-Teller theorem to account for the instability of cyclobutadiene is only Possible in the zeroth order where the MO configuration is degenerate. In first-order theory no degeneracy is present and the Jahn-Teller theorem does not apply.