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Special Articles on Structure Determination in Modern Chemistry, A Simultaneous Determination of Third-Order Vibrational Anharmonicity Constants and Equilibrium Structure Molecular Structure of Non-linear HXY type Molecules F.171 T-TIPCIT A Institute for Molecular Science Myodaiji, Okazaki-shi 444 Japan In order to eliminate ambiguities in spectroscopically determined 'molecular stiucture caused by intramolecular vibrations, a method has been developed which analyzes ground-state rotational constants and 'vibration-rotation constants of a sufficient number of isotopes simultaneously by the least-squares method using equilibrium structure parameters and thirdorder anharmonicity constants as adjustable parameters. The method has been applied to HNO/DNO and HOC1/DOC1, for both of which not all vibration-rotation constants, have been
determined, preventing the equilibrium structure from being determined through a conventional procedure of calculating equilibrium rotational constants. The equilibrium structures thus obtained are re (H-N) =1. 0628 (25) A, re(n-o) =1. 2058 (27) A, and Oe (HNO) =109. 09 (24) for HNO and r0(h-o)=0. 9654(35) A, re(0-c1) =1. 6891(29) A, and 0e(HOC1) =103. 21(60) for HOC1, with three standard deviations in parentheses. The analysis has also yielded some of the third-order anharmonicity constants, which are indispensable in analyzing vibrational changes of molecular constants and also in discussing the dynamical behavior of molecules. The "diagonal" third-order constants which are determined are F111= 25. 31(22) aj A3, F222 222= 77(12) aj A-3. and F333= 1. 05(15) aj rad-3 for HNO and F111= 42. 5(10. 4) aj A-3, F222 222= 21. 8(8. 4) aj A.-3, and F333= 0. 42(1. 14) aj rad-3 for HOC1, where the internal coorinates are numbered such that 1 for ar(h-x), 2 for ar(x-y), and 3 for 30(HXY), and the values in parentheses denote three standard deviations. It has also been shown that the method can be applied to molecules in an excited electronic state, using HNO in the A'A" state as an example. The result is by no means satisfactory ; the precision of the derived constants is not high. This is mainly ascribed to perturbations in the excited state, and the present analysis may provide us with chances of examining the interactions affecting the excited state. The method developed in the present paper will be applicable to a few other simple molecules such as bent XYZ-type molecules without involving any hydrogen/deuterium atoms and planar H2XY-type,molecules.