The phrase "and the lattice of" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or materials science, often referring to a structure or arrangement of points or elements.
Example: "The researchers studied the properties of the crystal and the lattice of atoms within it."
Alternatives: "and the arrangement of" or "and the framework of".
All those factors deeply affect the performance of the different films when applied as cathodes for aqueous potassium-, sodium- and lithium-ion secondary battery, which depends on the relationship between the size of hydrated ion and the lattice of the HCM structure.
It follows that the lattice of the ideals of the uniform Roe algebra Cu∗ X,E) in which controlled propagation operators are dense, the lattice of the invariant open subsets in the unit space of the groupoid G(X) introduced by Skandalis, Tu and Yu, the lattice of the ideals of the coarse structure E, and the lattice of the ideals of the coarse space X are mutually isomorphic.
That process can create more defects, and the lattice of InAs quantum dots has changed at high temperature.
The insets in (b) and (c, d) show HR-TEM images of PANI/Fe3O4 and the lattice of Ag/PANI/Fe3O4 nanoparticles, respectively.
Then there is a lattice isomorphism between the lattice of graded ideals { I } of L K ( E ) and the lattice of hereditary saturated subsets { X } of E 0 : I ↦ I ∩ E 0, X ↦ I ( X ).
Indeed, with not-hard-to-anticipate order relations defined on triples of the form ( H, C, P ), there is a stronger form of Theorem 11, one which gives a lattice isomorphism between the set of appropriate triples and the lattice of two-sided ideals of L K ( E ).
These authors assumed that the periods of the patterns and of the lattice of pinwheels were not correlated.
Hurum et al. [53] monitored recombination behaviour of electron-hole pairs at the surface and in the lattice of P25 using EPR.
Doping of some transition metal and lanthanide to the lattice of metal chalcogenides has been investigated [12 20].
XRD and Raman results showed Bi2O3 could enter the lattice of Co3O4, and promote the formation of the lattice distortion and structural defect.
XPS analysis indicated that C, N and S were transferred into the lattice of TiO2.
