Topological insulators (TIs) are a new phase of matter, which exhibit intrinsic properties in the bulk state, but exhibit a conduction property on the surface. The first topological maladaptive was created using the quantum Hall effect and by applying an external magnetic field that led to the formation of a topological phase in the system. At the same time, in some cases, with ghosting edges (or superficial states), inverse symmetry is maintained. These dichotomies have inverted strips of geometry that are caused by spin-orbit coupling and are distinguished from conventional ones by a topological invariance of Z?. As a result, they can not be linked adiabatically. A new category of topological dysfunctions, which are similar to TIs, are characterized by spiral lobe states within a non-dominant mass band. However, the role of the inverse symmetry in replacing the topological properties with crystalline symmetry is called the TCI. For this reason, the SnTe with the Space Group's symmetry is the first example of the TCI that Experimental confirmation of this extensive research has been carried out. Recently, a new category of cumulative topological dysfunctions, including non-symphonic symmetries, is known as non-symmetric crystalline topological imperfections. An important feature is emerging here. And it forms new surface states called Fermion Which consists of four stripes. In this thesis, we formulate a generalized Heldin model in three dimensions with non-symmorexical symmetry of a non-symmetric crystalline dispersion, which is the result of recent calculations in a different model for the production of fermions The hourglass has been in agreement.