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4644246712
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note
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The former was primarily used for HF and MP2, whereas we used the latter for every DFT calculations in order to take advantage of the new EDIIS algorithm.
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35
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4644297005
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note
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c=N-N= 114.6 degrees in the bent form. For the linearized octamer, all angles are equal [117.2 degrees at the MP2/6-31G(d) level].
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38
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4644370977
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note
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At the MP level, the frozen-core approximation has been used throughout the paper except when noted.
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46
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49
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4644319853
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note
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Note that this value is unchanged when using the refined τ-shaped VSXC functional.
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50
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4644251741
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note
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It seems that the differences between MP2 and DFT Δr are not coming from a calculation artefact. Indeed, (i) for N=8, a MP2(full)/6-31G(d) calculation provides a Δr of 0.100 A, the same as the frozen-core calculation (ii) removing the linearized constraint, i.e., optimizing bent TT PMI leads to [N=8,6-31G(d)] 0.121, 0.101, 0.086, and 0.085 ̊ for HF, MP2, B3LYP, and PBEO Δr, respectively (iii) starting a B3LYP optimization on the optimal MP2 geometry, leads to the B3LYP value given in the tables. Therefore, DFT geometries are probably not local minima.
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