1990
DOI: 10.1016/0304-8853(90)90694-l
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On the effective spin exchange in non-classical organic polymers

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Cited by 24 publications
(4 citation statements)
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“…With regard to early studies for infinite magnetic polymers, any ab initio crystal orbital investigations have not been reported, except our recent work for phenylenevinylene-bridged polymers with a methylene radical, 39 while only semiempirical treatments have already been carried out. [40][41][42][43][44][45][46][47][48][49][50][51] Judging from the previous result, 39 the DFT-based crystal orbital method may be a reasonable tool for theoretical studies of periodic polymers. However, the applicability of DFT computations to open shell systems such as organic radicals or transition metals has not been established sufficiently yet, although many approximated exchange and correlation functionals have also been proposed by various authors until now.…”
Section: Introductionmentioning
confidence: 77%
“…With regard to early studies for infinite magnetic polymers, any ab initio crystal orbital investigations have not been reported, except our recent work for phenylenevinylene-bridged polymers with a methylene radical, 39 while only semiempirical treatments have already been carried out. [40][41][42][43][44][45][46][47][48][49][50][51] Judging from the previous result, 39 the DFT-based crystal orbital method may be a reasonable tool for theoretical studies of periodic polymers. However, the applicability of DFT computations to open shell systems such as organic radicals or transition metals has not been established sufficiently yet, although many approximated exchange and correlation functionals have also been proposed by various authors until now.…”
Section: Introductionmentioning
confidence: 77%
“…The energy gap between the HFB and the highest doubly occupied band (HDOB) of radical ion crystals consisting of naphthalene is equal to zero (see Figure 7). For that reason, the formalism in section 3.1 is not applicable to the calculation of the various contributions of the effective exchange integral J eff in the Heisenberg Hamiltonian (see eqs 2 and 3, and refs [28][29][30][31]. To obtain correct results of J eff one must consider additionally the elementary excitation between the HFB and the HDOB.…”
Section: δ(Imentioning
confidence: 99%
“…However, the magnitude of the indirect exchange Ž coupling of the model polymers investigated in . this article is essentially smaller in comparison w Ž with the exchange coupling expressed by J in- .x tra of -systems with intramolecular magnetic interaction-polymers with a continual -system Ž w x. of conjugation see, e.g., 23 . The absolute value of the exchange integral J is one order of magni- The character of the indirect interaction and the value of J is determined not only by the struci n d Ž .…”
Section: Numerical Results and Discussionmentioning
confidence: 99%