基于时间依赖密度泛函理论计算的 Ag10-吡啶配合物的电荷转移表面增强拉曼散射模型。
A charge-transfer surface enhanced Raman scattering model from time-dependent density functional theory calculations on a Ag10-pyridine complex.
机构信息
Department of Chemistry and Center for Analysis of Structures and Interfaces, The City College of New York, New York, New York 10031, USA.
出版信息
J Chem Phys. 2010 Jun 7;132(21):214707. doi: 10.1063/1.3431210.
Vibrational frequency calculations were made for a Ag(10)-pyridine vertex complex with density functional theory (DFT) for static simulated spectra and with time-dependent DFT (TD-DFT) for preresonance and resonance simulated spectra using both B3LYP/LANL2DZ and BP86/TZP methodologies. In addition, 40 excited states of the complex were calculated and assigned symmetry based on a C(2v) symmetry of the optimized complex found with B3LYP/LANL2DZ. Molecular orbital isosurfaces show that the excited states involve both Ag(10) intercluster excitations and charge-transfer (CT) excitations between the Ag nanocluster and the pyridine molecule. An excitation around 500 nm involving CT from the Ag cluster to pyridine was found in both calculations. For free pyridine, the relative average deviations between unscaled calculated and experimental results were 1.5 cm(-1) for BP86 and 3.1 cm(-1) for the B3LYP calculations. For the complex, simulated spectra at a variety of excitation wavelengths were calculated. In the case of 514 nm excitation, the simulated Raman cross section from the TD-DFT calculations (near the CT resonance) was plotted versus Raman shift frequency and compared with an experimental surface enhanced Raman scattering (SERS) spectrum obtained on an oxidation-reduction cycle, ORC roughened Ag electrode. The BP86 TD-DFT calculation with finite damping term showed a better fit to experimental spectrum with respect to both relative intensities and frequencies. The average deviation of the unscaled BP86 calculations for 16 bands in the experimental spectrum was 13.0 cm(-1). The calculated spectrum in both cases shows many contributions from nontotally symmetric as well as totally symmetric modes, indicating the contribution of Herzberg-Teller (HT) scattering. The simulated intensities of the Raman modes of different symmetry from Ag(10)-pyridine can be correlated with HT intensity borrowing from excited states of given symmetry and decent oscillator strength. These results explain the appearance of the a(2) mode at 388 cm(-1) and the moderately strong b(2) mode at 1573 cm(-1) found in the SERS experimental spectrum. The good agreement between experimental and simulated results indicates that a small Ag nanocluster-pyridine vertex complex can be used to simulate spectra with good relative intensities, if not absolute intensities, and accurate frequencies for most of the SERS bands for adsorbed pyridine on roughened bulk Ag.
采用密度泛函理论(DFT)对 Ag(10)-吡啶顶点配合物进行了振动频率计算,用于静态模拟光谱,采用含时密度泛函理论(TD-DFT)对预共振和共振模拟光谱进行了计算,分别使用了 B3LYP/LANL2DZ 和 BP86/TZP 方法。此外,还计算了配合物的 40 个激发态,并根据 B3LYP/LANL2DZ 优化配合物的 C(2v)对称性对其进行了对称性分配。分子轨道等位面表明,激发态既涉及 Ag(10) 簇间激发,又涉及 Ag 纳米簇与吡啶分子之间的电荷转移(CT)激发。在这两种计算中都发现了约 500nm 的激发,涉及 CT 从 Ag 簇到吡啶的转移。对于游离吡啶,未经缩放的计算结果与实验结果的相对平均偏差分别为 1.5cm(-1)(BP86)和 3.1cm(-1)(B3LYP 计算)。对于配合物,计算了不同激发波长的模拟光谱。在 514nm 激发的情况下,绘制了来自 TD-DFT 计算的拉曼截面(在 CT 共振附近)相对于拉曼位移频率的图,并与在氧化还原循环(ORC)粗糙化 Ag 电极上获得的实验表面增强拉曼散射(SERS)光谱进行了比较。具有有限阻尼项的 BP86 TD-DFT 计算在相对强度和频率方面与实验谱更好地吻合。实验谱中 16 个带的未经缩放的 BP86 计算的平均偏差为 13.0cm(-1)。在这两种情况下,计算得到的光谱都显示了许多非完全对称和完全对称模式的贡献,表明 Herzberg-Teller(HT)散射的贡献。Ag(10)-吡啶的不同对称性的 Raman 模式的模拟强度可以与给定对称性的激发态的 HT 强度借用以及良好的振子强度相关联。这些结果解释了实验 SERS 光谱中 388cm(-1)处 a(2)模式和 1573cm(-1)处中等强度 b(2)模式的出现。实验结果与模拟结果之间的良好一致性表明,对于在粗糙化的块状 Ag 上吸附的吡啶的大多数 SERS 带,可以使用小的 Ag 纳米簇-吡啶顶点配合物来模拟具有良好相对强度(即使不是绝对强度)和准确频率的光谱。