Ring Puckering in Five‐Membered Rings. I. General Theory

As a general introduction to a subsequent series of papers on pseudorotation and five‐membered rings, the two‐ring puckering modes of a five‐membered ring are discussed in general terms. Five cases are separated depending upon the nature of the potential function for each mode. Correlation diagrams connecting the various cases are given. Consistent with our basic policy, we have gone directly from fundamental theory to an arithmetical development using large digital computers. The classical section of this development is outlined. The quantum‐mechanical section is developed in the following paper.

[1]  S. Wang,et al.  On the Asymmetrical Top in Quantum Mechanics , 1929 .

[2]  W. Gwinn,et al.  Trimethylene Oxide. II. Structure, Vibration‐Rotation Interaction, and Origin of Potential Function for Ring‐Puckering Motion , 1961 .

[3]  J. A. Fernández,et al.  Trimethylene Oxide. I. Microwave Spectrum, Dipole Moment, and Double Minimum Vibration , 1960 .

[4]  J. Laane,et al.  Far‐Infrared Spectra of Ring Compounds. II. The Spectrum and Ring‐Puckering Potential Function of Cyclopentene , 1967 .

[5]  Hyunyong Kim,et al.  Microwave Spectra, Dipole Moments, Structure, and Ring Puckering Vibration of Cyclobutyl Chloride and Cyclobutyl Fluoride , 1966 .

[6]  Henry Margenau,et al.  Fundamental Principles of Quantum Mechanics , 1961 .

[7]  Kenneth S. Pitzer,et al.  The Thermodynamics and Molecular Structure of Cyclopentane1 , 1947 .

[8]  R. Bell.  The occurrence and properties of molecular vibrations with V(x) = ax4 , 1945, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[9]  J. W. Russell,et al.  Trimethylene Oxide. III. Far-Infrared Spectrum and Double-Minimum Vibration , 1966 .

[10]  D. O. Harris,et al.  Ring Puckering in Five‐Membered Rings. II. The Microwave Spectrum, Dipole Moment, and Barrier to Pseudorotation in Tetrahydrofuran , 1969 .

[11]  D. O. Harris,et al.  Microwave Spectrum, Vibration—Rotation Interaction, and Potential Function for the Ring‐Puckering Vibration of Trimethylene Sulfide , 1966 .