Chapter 8 Self-test questions

Hybrid and Multi-Scale Methods

Quiz Content

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. The dielectric constant of the common solvent acetonitrile is 37.5. What is the free energy of solvation of the formate anion HCOO- in acetonitrile, assuming that it becomes solvated in a spherical cavity with radius 2.1 Å.

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. Which of the following pairs cannot usually be described in terms of a system:environment pair?

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. Which of the following acronyms does not describe a common method for predicting solvation free energies?

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. One of the simplest approaches for constructing hybrid methods is the subtractive approach, whereby the energy of the system formed by a core A and environment B is given by: VHL(AB) = VHL(A) + VLL(AB) – VLL(A). HL denotes a high-level of theory and LL a low level. This method can be very simple because:

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. In a typical QM/MM calculation in which the core region is treated with a QM method, with embedding in an MM environment described by point charges, which of the following effects is not included?

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. Consider a metal-phosphine complex [M]-PR3, where R is the cyclohexyl group, and [M] denotes the metal together with ancillary ligands. If this complex is modelled using a hybrid QM-MM method in which for the QM calculations on the core the R group is replaced by H atoms, which of the following can be stated concerning the results?

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. The Cope rearrangement, in its simplest form, converts 1,5-hexadiene to an isomer of itself through a 6-membered ring TS. At the B3LYP/6-31G level of theory, the reactant and TS return energies of -234.5535 and -234.5054 hartree respectively, while B3LYP together with the SMD continuum solvent model, with parameters for acetonitrile, returns energies of -234.5594 and -234.5112 hartree respectively. What is the effect (in kJ mol-1, 1 hartree = 2625.5 kJ mol-1) of including the solvent on (a) the energy of the TS, (b) the activation energy?

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. Coarse-grained molecular mechanics models can be more easily evaluated as they involve fewer interaction sites. Consider modelling of a system using an all-atom MM model and a coarse-grained model. Assume that, in the coarse-grained model, on average 6 atoms are grouped together into one interaction site. Assuming that the number of energy terms varies as the square of the number of sites, what is the expected change in computational effort from the atomistic model to the coarse-grained one?

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. One way to treat an environment is to include relevant atoms in an all-atom model. Assuming the computational effort associated with a calculation (evaluating the energy + optimizing the structure) scales as the square of the number of atoms, what would be the effect of including histidine (CH3C3H3N2) and aspartate (CH3CO2-) side chains in a calculation on an acetyl-coenzyme A model CH3COSCH3?

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. Which of the following chemical reactions would you expect to proceed much faster in a polar solvent than in vacuum?

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