Phase diagram senses orbitals and prompts a fundamental constant

Van der Waals’ discovery of that the volumes of molecules and their intermolecular attraction between them cause the peculiarities of the phase diagrams of gases and liquids1 gave the greatest impact on the progress of science and industry. Unfortunately, the phase charts of solids capable to advance scientific and technical progress remain uncomprehended mystery. Only the certain linear phase boundaries are understood by the struggle of magnetic field B against the thermal agitation2,3. Here we show that the intersection volume of internal atomic orbitals determines the form of phase boundary and, furthermore, energy per unit volume of the intersection is a new fundamental constant v = 8.941 eV/Å3. Together with the known struggle contribution2,3 to TC(B), we found a term proportional to the intersection volume of 3deg and 2p orbitals in the Sm0.55Sr0.45MnO3 manganite. Hysteresis of TC is described by the avalanche-like widening of the intersection volume due to reducing the Coulomb distortion with double-exchange ferromagnetism. The pressure-TC diagram4 of (Sm1-xNdx)0.55Sr0.45MnO3 (x=0, 0.2, 0.4, 0.5) is approximated with the same parameters as the TC(B) diagram of Sm0.55Sr0.45MnO3. Furthermore, the diamond’s melting point 4157oC calculated from the intersection volume of sp3-orbitals is in excellent agreement with the real 4000oC. Tips explaining the puzzling pressure-TN diagrams5-10 of NiS, Ni1-xS1-ySey, BaVS3, V2O3, RNiO3 and ferrites were given. Our discovery is the beginning of condensed-matter geometrodynamics and marks an era of studying phase diagrams to advance condensed-matter physics and tailor new materials with predicted properties necessary in sunrise industries. Moreover, internucleon, interquark and intergluon orbital intersections would be useful for understanding the properties of nuclei, nucleons and quarks.

Neutrino-nucleus cross-sections at supernova neutrino energies

The inclusive neutrino/antineutrino-induced charged and neutral current reaction cross-sections in [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] in the energy region of supernova neutrinos/antineutrinos are studied. The calculations are performed in the local density approximation (LDA) taking into account the effects due to Pauli blocking, Fermi motion and the renormalization of weak transition strengths in the nuclear medium. The effect of Coulomb distortion of the lepton produced in the charged current reactions has also been included. The numerical results for the energy dependence of the cross-section [Formula: see text] as well as the flux averaged cross-section and event rates for the charged lepton production in the case of some supernova neutrino/antineutrino fluxes recently discussed in the literature have been presented. We have also given the flux-averaged angular and energy distributions of the charged leptons corresponding to these fluxes.