Berlin 2001 – scientific programme

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MO: Molekülphysik

MO 14: Spektroscopy II

MO 14.2: Talk

Friday, April 6, 2001, 16:00–16:15, H1058

Elucidation of the Empirical Relationship ω R² = Constant, and the Irregular Data of H₂ Vibrational Electronic States — •Tolga Yarman — Galatasaray University, Ortakoy, Istanbul, Turkey — Isik University, Maslak, Istanbul, Turkey

Based on our our previous work [1], and the classical B. and O. approximation, we arrive at an essential relationship for the vibrational period a diatomic molecule, i.e. T=4π 2/[h(n_in_j)^1/2] x [gM_redm_e]^1/2R²; M_red is the reduced mass of the nuclei of the molecule, m_e the mass of the electron, and g, a dimensionless coefficient; n_i and n_j are defined below. The above relationship reduces to T R², for different electronic states of a given molecule. This latter is a relationship known since 1925 [2], but never disclosed so far. Further we examine the vibrational data related to the excited electronic states of H₂ molecule, which can be classified in two categories: regular data and irregular data. The regular data check well our period relationship, with [n_in_j], all over equal to unity. On the other hand, we identify the irregular data to match respectively with the data related to the alkali hydrides, were the reduced mass of H₂ molecule converted into that of the alkali hydride of interest. This makes that, for irregular data, our original relationship holds with n_i=2, for data of H₂ corresponding to LiH, n_i=3 for data of H₂ corresponding to NaH, and so forth, and n_j=1. Various other applications, in excellent agreement with our finding are already drawn, though through a totally different approach [3]. 1. T. Yarman, Chimica Acta Turcica (Accepted: 23 September 1998). 2. Birge, Physic Rev. 25, 240 (1925). 3. T. Yarman, Chimica Acta Turcica, Vol 26, No 3, 1999.