Which economic model for a water-efficient Europe? Report of a CEPS Task Force. CEPS Task Force Report, 27 November 2012

This CEPS Task Force Report focuses on how to improve water efficiency in Europe, notably in public supply, households, agriculture, energy and manufacturing as well as across sectors. It presents a number of recommendations on how to make better use of economic policy instruments to sustainably manage the EU���s water resources. Published in the run-up to the European Commission���s ���Blueprint to Safeguard Europe���s Waters���, the report contributes to the policy deliberations in two ways. First, by assessing the viability of economic policy instruments, it addresses a major shortcoming that has so far prevented the 2000 EU Water Framework Directive (WFD) from becoming fully effective in practice: the lack of appropriate, coherent and effective instruments in (some) member states. Second, as the Task Force report is the result of an interactive process involving a variety of stakeholders, it is able to point to the key differences in interpreting and applying WFD principles that have led to a lack of policy coherence across the EU and to offer some pragmatic advice on moving forward.

Reviewing the EU ETS review? Report of the CEPS TAsk Force on "Does the ETS market produce the 'right' price signal"? CEPS Task Force Report, 12 November 2012

Drawing on discussions within a CEPS Task Force on the revised EU emissions trading system, this report provides a comprehensive assessment of the pros and cons of the various measures put forward by different stakeholders to address the level and stability of the price of carbon in the EU. It argues that the European Commission, the member states, the European Parliament and other stakeholders need to give serious consideration to introducing some kind of ���dynamic��� adjustment provision to address the relatively inelastic supply. The report also suggests that there is a need to improve communication of market-sensitive information, for example by leaving the management of the ETS to a specialised body.

Harmonic force fields from scaled SCF calculations: Program ASYM40

We report an extended version of our normal coordinate program ASYM40, which may be used to transform Cartesian force constants from ab initio calculations to a force field in nonredundant internal (symmetry) coordinates. When experimental data are available, scale factors for the theoretical force field may then be optimized by least-squares refinement. The alternative of refining an empirical force field to fit a wide variety of data, as with the previous version ASYM20, has been retained. We compare the results of least-squares refinement of the full harmonic force field with least-squares refinement of only the scale factors for an SCF calculated force field and conclude that the latter approach may be useful for large molecules where more sophisticated calculations are impractical. The refinement of scale factors for a theoretical force field is also useful when there are only limited spectroscopic data. The program will accept ab initio calculated force fields from any program that presents Cartesian force constants as output. The program is available through Quantum Chemistry Program Exchange.

Anharmonic force constant calculations

The relationship of the anharmonic force constants in curvilinear internal coordinates to the observed vibration-rotation spectrum of a molecule is reviewed. A simplified method of setting up the required non-linear coordinate transformations is described: this makes use of an / tensor, which is a straightforward generalization of the / matrix used in the customary description of harmonic force constant calculations. General formulae for the / tensor elements, in terms of the familiar L matrix elements, are presented. The use of non-linear symmetry coordinates and redundancies are described. Sample calculations on the water and ammonia molecules are reported.

Force constants and dipole���moment derivatives of molecules from perturbed Hartree���Fock calculations

General expressions for the force constants and dipole���moment derivatives of molecules are derived, and the problems arising in their practical application are reviewed. Great emphasis is placed on the use of the Hartree���Fock function as an approximate wavefunction, and a number of its properties are discussed and re���emphasised. The main content of this paper is the development of a perturbed Hartree���Fock theory that makes possible the direct calculation of force constants and dipole���moment derivatives from SCF���MO wavefunctions. Essentially the theory yields �����i���/������RJ��, the derivative of an MO with respect to a nuclear coordinate.

The calculation of force constants and normal coordinates IV: XH4 and XH3 molecules

Normal coordinate calculations of XH4 and XH3 molecules are reviewed and discussed. It is shown that for most of these molecules the true values of the force constants in the most General Harmonic Force Field can be uniquely determined only by making use of vibration-rotation interaction constants. It is emphasized that without these extra data the GFF is not determined. The results are compared with various model force fields for these molecules.

Anharmonic force field of acetylene

The harmonic and anharmonic force field of acetylene has been determined in a least-squares calculation from recently determined data on the spectroscopic constants of various isotopic species (including the vibrational l-doubling constant). A general quadratic and cubic force field was used, but a constrained quartic force field containing only 8 of the 23 possible quartic constants. The results are discussed and compared with earlier work.

Analytical potentials for triatomic molecules IX. The prediction of anharmonic force constants from potential energy surfaces based on harmonic force fields and dissociation energies for SO2 and O3

Analytical potential energy functions which are valid at all dissociation limits have been derived for the ground states of SO2 and O3. The procedure involves minimizing the errors between the observed vibrational spectra and spectra calculated by a variational procedure. Good agreement is obtained between the observed and calculated spectra for both molecules. Comparisons are made between anharmonic force fields, previously determined from the spectral data, and the force fields obtained by differentiating the derived analytical functions at the equilibrium configurations.