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A completely different formulation for simulation of the high order Laue zone (HOLZ) diffractions is derived.It refers to the new method,i.e.the Taylor series (TS) method.To check the validity and accuracy of the TS method,we take polyvinglidene fluoride (PVDF) crystal as an example to calculate the exit wavefunction by the conventional multi-slice (CMS) method and the TS method.The calculated results show that the TS method is much more accurate than the CMS method and is independent of the slice thicknesses.Moreover,the pure first order Lane zone wavefunction by the TS method can reflect the major potential distribution of the first reciprocal plane.