The self-consistent Thomas-Fermi atom satisfying Poisson's equation in D dimensions has a functional derivative of the kinetic energy T with respect to the ground-state density n(r) proportional to n(2/D). But the Poisson equation relates n(1-2/D) to ''reduced'' density derivatives n(-...
Learn the definition of Derivative and browse a collection of 1000 enlightening community discussions around the topic.
Learn the definition of Derivative and browse a collection of 1000 enlightening community discussions around the topic.
The derivative of the elastic-energy functional with respect to the length of the curvilinear crack is analyzed. It is shown that the derivative is independent of the crack path, provided that the curve along which the crack propagates is reasonably smooth. 关键词: derivative of the energy ...
Besides in the system using phospholipid bilayer membrane of vesicles, oxygen transporting capacity equivalent to that of blood was found in the system using lipid heme as the surfactant of lipid microsphere, which is clinically used in a nutritional injection, in the system in which the bilayer ...
The relative stabilities of the two boat conformations depend very much on the nature of the substituents and some substantial energy barriers to inversion have been determined. For example, ΔG* for the 3H-azepine (20) is found to be 57.3 kJ mol−1 〈71JOC978〉. Sign in to download ...
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The integral types investigated are: overlap, electric dipole transition (momentum operator), kinetic energy, three-centre nuclear attraction, four-centre electronic repulsion, three-centre spin-orbit coupling, and magnetic dipole transition (three-centre integrals of the angular momentum operator). 展开...
Euler–Lagrange Equation of Simple Mass-Spring System Copy Code Copy Command Find the Euler–Lagrange equation of a mass m that is connected to a spring with spring constant k. Define the kinetic energy T, potential energy V, and Lagrangian L of the system. The Lagrangian is the difference ...
These functions are interpreted as local chemical potentials and related mainly to kinetic energy functional derivatives. They are able to reveal the shell structure of atoms, and the resulting radial extrema are compared with the ones obtained from the radial density, the average electrostatic ...