Z. Naturforsch. 60a, 408 – 410 (2005); received March 2, 2005 On the basis of the most recently reported spectroscopic data on vibrational modes in TeCl4 and structural parameters of TeCl4, an estimation of its main force constants complemented with the calculation of mean amplitudes of vibration in a wide temperature range have been performed. Also thermodynamic functions for the ideal gaseous...

In “Is the Frobenius Matrix Norm Induced?”, the authors ask whether the Frobenius and the norms are induced. There, they claimed that the Frobenius norm is not induced and, consequently, conjectured that the norm may not be induced. In this note, it is shown that the Frobenius norm is induced on particular matrix spaces. It is then shown that the norm is in fact induced on a particular matrix-v...

We present an algorithm to evaluate large deviation functions associated to historydependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide a direct continuous-time algorithm valuable for systems with multiple time scales, thus extending the work of Giardinà, Kurchan and Peliti [1]. The procedure is supplemented with a thermodynamic-in...

A new kind of thermodynamic limit is given for the model of an ideal Boson gas which scales the supports of the local Weyl operators into infinitesimal regions leaving the external potential fixed. A technical assumption in a paper of Davies on this subject is derived from geometrical arguments. The spatial distribution of the condensate density is calculated for an arbitrary potential being bo...

The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and internal energy, the equation of state, as well as the thermodynamic properties are thoroughly discussed. Some novel results are obtained. PACS numbers: 05....