Designing a Quadrupole ion trap in a Sextupole magnet using the Twelvefold way of combinatorics with the Eightfold way of Physics
 A trion  is a localized excitation which consists of three charged particles. A negative trion consists of two electrons  and one hole  and a positive trion consists of two holes and one electron. The trion itself is a quasiparticle  and is somewhat similar to an exciton , which is a complex of one electron and one hole. The trion has a ground singlet state  ( spin  s  = 1/2) and an excited triplet  state ( s  = 3/2). Here singlet and triplet degeneracies   originate not from the whole system but from the two identical  particles in it. The half-integer spin value distinguishes trions from  excitons in many phenomena; for example, energy states of trions, but  not excitons, are split in an applied magnetic field. Trion states were  predicted theoretically in 1958; [1]  they were observed experimentally in 1993 in CdTe/Cd 1−x Zn x Te quantum wells, [2]  and later in various other optically excited semiconductor  structures. [3] [4]  There are experimental proofs of their existence in n...