Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.
J Chem Phys. 2011 Jun 21;134(23):234304. doi: 10.1063/1.3598952.
The molar spin susceptibilities χ(T) of Na-tetracyanoquinodimethane (TCNQ), K-TCNQ, and Rb-TCNQ(II) are fit quantitatively to 450 K in terms of half-filled bands of three one-dimensional Hubbard models with extended interactions using exact results for finite systems. All three models have bond order wave (BOW) and charge density wave (CDW) phases with boundary V = V(c)(U) for nearest-neighbor interaction V and on-site repulsion U. At high T, all three salts have regular stacks of TCNQ(-) anion radicals. The χ(T) fits place Na and K in the CDW phase and Rb(II) in the BOW phase with V ≈ V(c). The Na and K salts have dimerized stacks at T < T(d) while Rb(II) has regular stacks at 100 K. The χ(T) analysis extends to dimerized stacks and to dimerization fluctuations in Rb(II). The three models yield consistent values of U, V, and transfer integrals t for closely related TCNQ(-) stacks. Model parameters based on χ(T) are smaller than those from optical data that in turn are considerably reduced by electronic polarization from quantum chemical calculation of U, V, and t of adjacent TCNQ(-) ions. The χ(T) analysis shows that fully relaxed states have reduced model parameters compared to optical or vibration spectra of dimerized or regular TCNQ(-) stacks.
钠-四氰基对醌二甲烷(TCNQ)、K-TCNQ 和 Rb-TCNQ(II) 的摩尔自旋磁化率 χ(T) 采用扩展相互作用的三个一维 Hubbard 模型的半满能带,根据有限系统的精确结果进行定量拟合,拟合范围为 450 K。所有三个模型都有键序波(BOW)和电荷密度波(CDW)相,最近邻相互作用 V 和局域排斥 U 的边界 V = V(c)(U)。在高温下,所有三种盐都具有规则堆叠的 TCNQ(-) 阴离子自由基。χ(T) 将 Na 和 K 置于 CDW 相中,而 Rb(II) 置于 BOW 相中,V ≈ V(c)。在 T < T(d) 时,Na 和 K 盐具有二聚化堆叠,而 Rb(II) 在 100 K 时具有规则堆叠。χ(T) 分析扩展到二聚化堆叠和 Rb(II) 中的二聚化波动。三个模型为密切相关的 TCNQ(-) 堆叠提供了一致的 U、V 和转移积分 t 值。基于 χ(T) 的模型参数小于光学数据的参数,而光学数据的参数又因相邻 TCNQ(-) 离子的量子化学计算 U、V 和 t 的电子极化而大大减小。χ(T) 分析表明,与二聚化或规则 TCNQ(-) 堆叠的光学或振动光谱相比,完全弛豫状态的模型参数降低。