Calculations of the electric field gradient (EFG) at the cadmium nucleus have been carried out on Cd 2+ in the field of two point charges, CdF 2 , CdCl 2 , and CdF 2 Cl 2 2-at the RHF, MPn (n ) 2, 3, 4), and CCSD(T) levels of theory, in order to evaluate the effects of electron correlation, relativity, and basis set truncation. The EFG has furthermore been calculated in two large molecules (approximately 300 electrons) with biologically relevant cadmium ligands. Different methods to truncate the system have been investigated. The results are compared to experimental values determined in polycrystalline samples. We suggest a reasonably accurate and economic procedure to calculate the EFG on large cadmium complexes. The basis set on cadmium should be large, at least [19s15p9d4f/11s9p5d2f], while 6-31G(d) can be used on the remaining atoms. Correlation should be treated at least at the MP2 level, which is found to be unexpectedly accurate due to cancellation of higher order terms. In this treatment the core orbitals on the ligands and 1s through 3d orbitals on cadmium can be frozen. Surrounding molecules in the crystals have been modeled by an array of point charges. Using this procedure, the error of the elements of the diagonalized EFG tensor is less than 0.3 au (3 × 10 21 V/m 2 ) for the investigated complexes.
IntroductionThe electric field gradient (EFG) at a metal ion is a sensitive function of the coordination geometry, coordination number, and type of ligands bound to the ion. Since the EFG decreases with the third power of the distance from the nucleus, it is a very local molecular property, and only the first few coordination spheres contribute significantly to it. Therefore, the EFG is an excellent probe of metal coordination geometry. Unfortunately, the EFG cannot be directly determined by experiments; instead, the measured quantity is the nuclear quadrupole interaction (NQI), i.e., the interaction between the nuclear quadrupole moment and the EFG. Therefore, the nuclear quadrupole moment must be known in order to deduce the EFG. Several methods have been developed during the last 40 years to measure NQIs, e.g., nuclear quadrupole resonance, Möss-bauer, and perturbed angular correlation of γ-rays (PAC) techniques.One of the most widely used PAC isotopes, 111m Cd, has, among other applications, shown to be a successful probe for the investigation of metal sites in zinc enzymes. 1 Zinc is a notoriously problematic ion in experimental studies, since it is invisible to standard spectroscopic (except X-ray) methods. Traditionally, spectroscopic studies have been performed on metal-substituted (e.g., Mn, Co, and Cu) enzymes. 2,3 However, it has turned out that the coordination geometry can differ quite appreciably between zinc and these ions. 4 Cadmium, on the other hand, being in the same group as zinc, can be expected to be more similar to zinc (except for the longer bond distances).So far, NQIs measured by 111m Cd PAC have been interpreted in terms of metal coordination geometry using an approximate semiemp...