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The phrase "atoms without the" is not complete and lacks context, making it difficult to determine its correctness in written English.
It could be used in a context discussing atoms in relation to something that is missing or absent, but the phrase itself is incomplete.
Example: "In the study of chemistry, we often explore the behavior of atoms without the presence of external forces."
Alternatives: "atoms lacking" or "atoms devoid of".
Exact(2)
We also studied the friction process of another two square graphene flakes with sizes of 2.0 nm (N = 160 atoms) and 10.0 nm (N = 3936 atoms) without the movement constraint of graphene in the y direction.
In PUFF, forces are applied directly to the instantaneous velocities of atoms, without the need for intermediate harmonic restraints.
Similar(58)
For the Ga-rich 4 × 6 surface, the precursors partially and selectively bond with the surface atoms without disturbing the atoms in the subsurface layer.
Since the substitution of Val1 with Gly or Ala only shortens the hydrophobic chain, it is possible to interpret the difference in their thermal stability in terms of a loss of side chain atoms without raising the issue of steric hindrance around the mutant side chain.
Thus, the absorption resonance of the atoms, without broadening from the Doppler effect, can be observed.
Assuming that argumentation takes place in a paraconsistent environment, one cannot assume in general that a negative literal (i.e. a negated atom) can be attacked by its positive counterpart (i.e. the same atom without the negation).
But now physicists have demonstrated for the first time a way of recording quantum information from a beam of light onto a cluster of atoms without wrecking the message.
Snapshots of the unfolding pathway taken at 0.5 ns intervals are shown in Figure 2 while Figure 3 shows the time-dependent variation of the root mean squared deviation (RMSD) of the backbone atoms (without hydrogen atoms) of the protein from the energy minimized structure.
Atoms labeled with a prime belong to the monosaccharide on the reducing side of the glycosidic linkage, while atoms without a prime are on the nonreducing side of the glycosidic linkage.
Masses of atoms are individuated by their constituent atoms without regard to the way in which they are organized.
The R 2 value for the test set in case of 37 atoms types without the self-solvation term and that in case of 23 atom types with the self-solvation term amount to 0.77 and 0.74, respectively.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com