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arXiv 0804.3145cond-mat.mtrl-sci
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对称自由基阳离子从成键到解离的密度泛函理论

A density functional theory for symmetric radical cations from bonding to dissociation

Ester Livshits, Roi Baer

摘要:

近似密度泛函理论(ADF)在描述离解对称自由基阳离子R2+时,常常失败。考虑到这种解离极限,以前的工作表明,Hartree-Fock(HF)理论有利于R+1-R 0电荷分布,而DF近似有利于R+0.5 - R+0.5。然而,一般的量子力学原理表明,这些(以及所有中间)平均电荷分布是渐近能量简并的。因此,HF和ADF理论错误地打破了对称性,但以一种矛盾的方式。在这封信中,我们将展示如何构建系统相关的长程校正(LC)密度泛函,可以成功地处理这类分子,避免虚假的对称性破缺。对R=H、He和Ne给出了实例并与实验数据进行了比较,结果表明,新的LC理论大大改进了对R2+键性质的理论描述、渐近势曲线的长程形式以及原子极化率。更广泛的影响,这一发现进行了讨论,以及它认为,广泛的半经验的方法,主张把LC参数作为一个系统无关的参数,实际上是不适当的一般情况下。

英文摘要:

It is known for quite some time that approximate density functional (ADF) theories fail disastrously when describing the dis-sociative symmetric radical cations R2+. Considering this dissociation limit, previous work has shown that Hartree-Fock (HF) theory favors the R+1--R0 charge distribution while DF approximations favor the R+0.5 -- R+0.5. Yet, general quantum mechanical principles indicate that both these (as well as all intermediate) average charge distributions are asymptotically energy degenerate. Thus HF and ADF theories mistakenly break the symmetry but in a contradicting way. In this letter we show how to construct system-dependent long-range corrected (LC) density functionals that can successfully treat this class of molecules, avoiding the spurious symmetry breaking. Examples and comparisons to experimental data is given for R=H, He and Ne and it is shown that the new LC theory improves considerably the theoretical description of the R2+ bond properties, the long range form of the asymptotic potential curve as well as the atomic polarizability. The broader impact of this finding is discussed as well and it is argued that the widespread semi-empirical approach which advocates treating the LC parameter as a system-independent parameter is in fact inappropriate under general circumstances.

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