The Vibrational Stretching States of the Pyramidal Molecules: Application to the Arsine and Stibine.

On the Study of Resonance Interactions and Splittings in the PH3 Molecule: ν1, ν3, ν2+ν4, and 2ν4 Bands

International audience; The high-resolution (0.005 cm−1) Fourier transform infrared spectrum of PH3 is recorded and analyzed in the region of the fundamental stretching bands, ν1 and ν3. The ν2 + ν4 and 2ν4 bands are taken into account also. Experimental transitions are assigned to the ν1, ν3, ν2 + ν4, and 2ν4 bands with the maximum value of quantum number J equal to 15, 15, 13, and 15, respectively. a1–a2 splittings are observed and described up to the value of quantum number K equal to 10. The analysis of a1/a2 splittings is fulfilled with a Hamiltonian model which takes into account numerous resonance interactions among all the upper vibrational states

The U(p+1) formalism applied to XY3 molecules in vibrationaly high excited states

Séminaire invité : Institut for Physical Research, NASA ; Ashtarak, Arménie

Vibrational Spectrum of Phosphine Molecule

High-resolution spectrum of the ν+ν(E),ν+ν(E),ν+ν(A), and ν3+ν4(A2) bands of the PH3 molecule: assignments and preliminary analysis

Abstract The high-resolution (0.005 cm −1 ) Fourier transform infrared spectrum of PH3 is recorded in the region between 3280 and 3580 cm −1 where the following bands are located: ν 1 +ν 4 (E), ν 3 +ν 4 (E), ν 3 +ν 4 (A 1 ) , forbidden on symmetry band ν3+ν4(A2), and very weak bands ν 1 +ν 2 (A 1 ), ν 2 +ν 3 (E) . Transitions are assigned to the first four ones. Vibrational analysis of known experimental data is made.

Vibrational modes of the stibine molecule

International audience; In this paper, we use the algebraic approach to describe the vibrational modes of stibine molecule (of C3v molecular symmetry group) up to 21 quanta. As the stibine molecule exhibits stretch-bend resonances, we build an algebraic pyramidal coupling operator between stretching modes and bending modes adapted to this molecule. The standard deviation associated to the fit of the vibrational levels is 1.75 cm-1.

Study of the stretching modes of the arsine molecule

Abstract To study local mode XY 3 molecules, we use properties of the group chain U ( 4 ) ⊃ U ( 3 ) ⊃ K ( 3 ) ⊃ S ( 3 ) ≈ C 3 v . For the Hamiltonian, we deduce diagonal terms and coupling terms between bonds. We analyze the stretching modes of the arsine molecule. An algebraic transition operator is built and applied to the same molecular system.

U(p+1) : Application aux états moléculaires très excités.

International audience