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They can be characterized by ψ, the maximum misorientation angle of the crystal lattice.
Fig. 1 Maximum misorientation angle Ψ of the ε-martensite (1) and the austenite (2) versus number of γ-ε-γ cycles.
The maximum misorientation angle ψ, which characterizes the degree of the structural fragmentation, was determined from the azimuthal smearing of the (200)γ and (002)α reflections of the reverted austenite and the martensite.
The maximum misorientation angle, ψ, which characterizes grain fragmentation, was determined from azimuthal smearing of the (200)γ reflections of austenite and the (002) α reflections of martensite in diffraction pattern of single-crystal specimens.
The maximum misorientation angle ψ of the crystal lattice, which characterizes the degree of structure fragmentation, was found from azimuthal tailing of diffraction reflections compared to single-crystalline samples.
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A design of experiments (DOE) technique was used to study the influences of seven parameters (maximum load, load ratio, particle modulus, the number of initially active slip systems, misorientation angle, particle aspect ratio, and the normalized particle size) on fatigue crack growth.
The energy gap of such a pairing state manifests a sign change at some directions of the Fermi wave vector, and its angle dependence is Δ = Δ d cos[2] with γ, the misorientation angle between the surface normal and the crystalline axis along which the order parameter reaches maximum.
Note that a different supercell has to be constructed at each misorientation angle (see Supplementary Note 7 for details).
The formation of deformation twins has been observed to be independent of misorientation direction, but with a distribution dependent on the substrate misorientation angle.
Concerning the main intrinsic factor, Jc across the grain boundary decreases with grain boundary misorientation angle similar to that observed in the cuprates YBCO13,21.
Notably, the qualitative correlation between GB energy and misorientation angle (see Supplementary Fig. S6) agrees well with atomistic simulations of STGBs in bcc iron9, tantalum51 and molybdenum74.
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