Study of structural and electronic transport properties of Ce-doped LaMnO3

The structural and electronic transport properties of La_1−x Ce _x MnO₃ (x=0.0–1.0) have been studied. All the samples exhibit orthorhombic crystal symmetry and the unit cell volume decreases with Ce doping. They also make a metal-insulator transition (MIT) and transition temperature increases with increase in Ce concentration up to 50% doping. The system La_0.5Ce_0.5MnO₃ also exhibits MIT instead of charge-ordered state as observed in the hole doped systems of the same composition.     

Angular momentum polarization in molecular beams of I2 and Na2

The degree of molecular alignment, due to nozzle expansion, has been determined in supersonic beams of I₂ and Na₂, using the technique of laser-induced fluorescence. It is found that the anisotropic distribution of angular momenta is of the form 1 + ₂P₂(cos ). The alignment appears to be small for I₂ while for Na₂ a considerably larger effect is measured. Two internal states are studied, v = 0, J = 28 and v = 3, J = 43; both under various source conditions. It is found that the alignment depends on the internal state of the molecule and for each state can be described as a unique function of pd, the product of source pressure and nozzle diameter. The results are explained using a moel based on scattering between atoms and dimers with different velocity distributions. It is suggested that alignment may be a general feature in seeded molecular beams containing nonspherical components.     

Two connected inverse spectral transforms

We establish a transformation which connects the potentials of the one-dimensional Dirac and Klein-Gordon operators. This transformation links the solutions of the nonlinear evolution equations solvable by means of the two inverse spectral transforms which use the Dirac and Klein-Gordon direct and inverse spectral problems.