Ground state, factors determining

The improved numerical stability of the new deMon2K version also opened the possibility for accurate harmonic Franck-Condon factor calculations. Based on the combination of such calculations with experimental data from pulsed-field ionization zero-electron-kinetic energy (PFl-ZEKE) photoelectron spectroscopy, the ground state stmcture of V3 could be determined [272]. Very recently, this work has been extended to the simulation of vibrationaUy resolved negative ion photoelectron spectra [273]. In both works the use of newly developed basis sets for gradient corrected functionals was the key to success for the ground state stmcture determination. These basis sets have now been developed for aU 3d transition metal elements. With the simulation of vibrationaUy resolved photoelectron spectra of small transition metal clusters reliable stmcture and... 

This specfmm is dominated by ftmdamenfals, combinations and overtones of fofally symmefric vibrations. The intensify disfribufions among fhese bands are determined by fhe Franck-Condon factors (vibrational overlap integrals) between the state of the molecule and the ground state, Dq, of the ion. (The ground state of the ion has one unpaired electron spin and is, therefore, a doublet state, D, and the lowest doublet state is labelled Dq.) The... 

The factor Dg can either be determined from the dissociation energy and the ground state vibration energy or from thermodynamic data. The heat of formation of H atoms from H2 molecules can be found in the literature, but some care should be exercised in considering the total energy content of H atoms and H2 molecules under standard conditions. 

The two following lines present the results obtained later by Rerat et al. (17) the method consists in adding one more term in the expression of i) given by Eq.l4. He keeps the dipolar factor from the summation on the spectroscopic states l n)) he retains only the first one of the symmetry of interest, thus there is no extrapolation procedure on the other hand, he adds the Slater determinants l m) which contribute to the perturbation of the ground state by the operators... 

Among the various methods, the B3-LYP based DFT procedure appears to provide a very cost-effective, satisfactory and accurate means of determining the vibrational frequencies. As an example. Figures 3.7 and 3.8 display direct comparisons between the ground state experimental and DFT B3-LYP/6-31G calculated Raman spectra for DMABN and its ring deuterated isotopmer DMABN-d4. ° The experimental spectra are normal Raman spectra recorded in solid phase with 532nm excitation. For the calculated spectra, a Lorentzian function with a fixed band width of —10 cm was used to produce the vibrational band and the computed frequencies were scaled by a factor of 0.9614. 

Let us analyse the effect caused by the thermodynamic fluctuations of order parameter on the ground state of a dipole honeycomb lattice. Two factors determine the situation just as they do in the case of a square lattice.54,56,81 These are the... 

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