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The scattering function analysis is done by Chebyshev and Legendre polynomials in the neutron transport equation. The effect of the scattering coefficients on the critical thicknesses are presented in tables. The analyses are done for  P N,  T N, and  U Nmethods up to fourth order of the scattering function. By making calculations, the critical thicknesses are obtained with Mark and Marshak boundary conditions. The critical thickness results are found for the corresponding secondary neutron number (c) in tetra anisotropic scattering. So, the neutron transport equation solutions have been done for three different solution methods with two boundary conditions in plane geometrical bare systems. Finally, the numerical results for different scattering types and a brief comment are given in results and discussion. It is shown that our results are in agreement with the existing literature.

Analyzing of the Scattering Coefficients in the Neutron Transport Equation for Critical Systems