The phrase "associated with the lattice" is correct and usable in written English.
It can be used in contexts discussing relationships or connections between concepts, structures, or systems, particularly in scientific or technical writing.
Example: "The properties of the material are closely associated with the lattice structure it possesses."
Alternatives: "linked to the lattice" or "connected with the lattice".
Further, unlike for the Schrödinger equation, the transfer matrices associated with the lattice mechanical system are not symplectic.
The increase of hardness with small amounts of Si in TiSiN films was probably associated with the lattice distortion.
The model takes into account the effect of coherency strain associated with the lattice rearrangement accompanying the phase transformation, and the anisotropy in interfacial energy.
The areas in the bottom left and top right of Fig. 2a are crystalline, as shown by the presence of lattice fringes in the image as well as sharp spots in the fast Fourier transform patterns, which denote periodic order associated with the lattice.
The room temperature yield surface tilts are demonstrated to be associated with the lattice rotations produced by dislocation glide; by contrast, the high temperature tilts are attributed to the occurrence of dynamic recrystallization.
In fact, the hopping energy is also associated with the lattice constant.
Interestingly, the localization of MSY2, which does not appear to associate with the lattices (based on its lack of co-localization with PADI6), is only slightly affected by different incubation conditions, suggesting this phenomenon may be more restricted to CPL-associated proteins.
The blue circles in (d) are drawn as a guide to show the peaks associated with the Moiré lattice.
The insets reveal the fast Fourier transform where the white circles are drawn as a guide to show the peaks associated with the atomic lattice.
This suggests that solvate-I contain isopropyl alcohol while acetone is not associated with the crystal lattice.
It can be observed that with the increase of the thermal treatment temperature, all the bands associated with the water lattice become narrower.
