Matrices large-small transformation

The decay of the neutron into the proton is an important example of decay between mirror nuclei. In the (3 decay of mirror nuclei, the transformed nucleons (neutron —> proton or proton neutron) must be in the same shell and have very similar wave functions. This gives rise to a large matrix element Mif 2 and a very small log ft value. For the (3 decay of mirror nuclei to their partners, log ft values are about 3, which is unusually small. Such transitions are called superallowed transitions. 

Thus, a small set of parameters can be used to describe the position and orientation of a large group of atoms. Equations (19-23) are used to form elements of the sparse matrix that transforms the set of atomic coordinate parameters into a smaller set of variables determined by the least squares refinement via Equations (17) and (18). 

Microparticles—Large molecules can be made transformed very small particles and delivered via a biodegradable matrix. 

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