Angular velocity in heated rotating nuclei

For a heated rotating nucleus, the angular velocity is equal to one-half the γ-ray transition energy if and only if the band E(I) follows a trajectory of constant entropy.     

Anionic copolymers of caprolactam with laurolactam (nylon 612 copolymers) II. Crystallisation,glass transitions and tensile properties

The crystalline of PCL/PLL random copolymers, prepared by anionic polymerisation in the melt and freed of residual monomer(s), vary with composition and are at a minimum for approx. $\text{65}\text{35}$ mole% composition. The T_g's of the copolymers show a minimum with composition; this effect is discussed in relation to the different co-unit compositions of the crystalline and the amorphous phases. The copolymers are tough thermoplastics with values of yield stress, stress at 100% elongation, and modulus all tending to a minimum for the compositions of lowest crystallinity and highest birefringence. The tensile strengths at break are independent of crystallinity and vary linearly with NH(CH₂)₅CO unit content.     

Two-photon ionization spectrum of the 1Lb ← S0 transition in toluene

The multiphoton ionization (MPI) spectrum of toluene arising from the ¹B₂ (¹L_b) valence state has been investigated. The state participates as a two-photon resonance. A total of nine excited state fundamentals have been characterized, including three non-totally symmetric vibrations. The toluene MPI spectrum shows a strong resemblance to the two-photon fluorescence excitation spectrum with the strongest transitions taking place to the origin and excited state modes ν₁(a₁), ν₁₂(a₁) and ν₁₄(b)₂). The intensities of the observed fundamentals are rationalized in terms of Franck-Condon and vibronic coupling effects. A major conclusion is, that the primary mechanism for the activity of ν₁₂ is vibronic coupling.     

Bundle Gerbes for Chern-Simons and Wess-Zumino-Witten Theories

We develop the theory of Chern-Simons bundle 2-gerbes and multiplicative bundle gerbes associated to any principal G-bundle with connection and a class in H⁴(BG, ℤ) for a compact semi-simple Lie group G. The Chern-Simons bundle 2-gerbe realises differential geometrically the Cheeger-Simons invariant. We apply these notions to refine the Dijkgraaf-Witten correspondence between three dimensional Chern-Simons functionals and Wess-Zumino-Witten models associated to the group G. We do this by introducing a lifting to the level of bundle gerbes of the natural map from H⁴(BG, ℤ) to H³(G, ℤ). The notion of a multiplicative bundle gerbe accounts geometrically for the subtleties in this correspondence for non-simply connected Lie groups. The implications for Wess-Zumino-Witten models are also discussed.The authors acknowledge the support of the Australian Research Council. ALC thanks MPI für Mathematik in Bonn and ESI in Vienna and BLW thanks CMA of Australian National University for their hospitality during part of the writing of this paper.