Viewing 1 post (of 1 total)
  • Author
  • #3543 Score: 0

    DOT1 Complications are of electromagnetic nature. Nucelus possess mass,
    charge, shape and certain energy levels. Multipole expansion lets making a priori
    shape and energy corrections. Thus it is also possible to distinguish that
    each nucleus is interacting with an electron cloud that surrounds it. Atoms also
    don’t spawn as free systems – they have charged vicinity, so the nucleus is interacting
    with other nearby nuclei. Moreover electrons themselves interact with each other, neighboring
    atoms and (in solids) crystall lattice. Having not performed a multipole expansion
    would lead sadly to mixing energy and shape terms erasing in effect reasonable properties
    of the entire system.

    DOT2 (1) As long as the system behaves linearly. Otherwise linear methods such as multipole,
    Taylor, Maclaurine don’t work.
    (2) The first order perturbation calculus approximation
    is invalid as long as E_i^0 is not degenerate. As it becomes degenerate, the denominator
    can become zero.
    (3) Parameters for nuclear electric moments have to be predefined,
    put in agreement with experimental values.
    Higher orders of multipole expansion fields are becoming yet smaller, so do perturbations
    of level higher than first. It is also challenging for numerical computations. Accuracy of
    numerical calculations drains the operating resources in supercomputer facilities.

Viewing 1 post (of 1 total)
  • You must be logged in to reply to this topic.