Mathematical aspects of molecular replacement. IV. Measure-theoretic decompositions of motion spaces.

In molecular-replacement (MR) searches, spaces of motions are explored for determining the appropriate placement of rigid-body models of macromolecules in crystallographic asymmetric units. The properties of the space of non-redundant motions in an MR search, called a `motion space', are the subject of this series of papers. This paper, the fourth in the series, builds on the others by showing that when the space group of a macromolecular crystal can be decomposed into a product of two space subgroups that share only the lattice translation group, the decomposition of the group provides different decompositions of the corresponding motion spaces.

Selected overtone mobility spectrometry.

A new means of acquiring overtone mobility spectrometry (OMS) data sets that allows distributions of ions for a prescribed overtone number is described. In this approach, the drift fields applied to specific OMS drift regions are varied to make it possible to select different ions from a specific overtone that is resonant over a range of applied frequencies. This is accomplished by applying different fields for fixed ratios of time while scanning the applied frequency.

Gridless overtone mobility spectrometry.

A novel overtone mobility spectrometry (OMS) instrument utilizing a gridless elimination mechanism and cooperative radio frequency confinement is described. The gridless elimination region uses a set of mobility-discriminating radial electric fields that are designed so that the frequency of field application results in selective transmission and elimination of ions. To neutralize ions with mobilities that do not match the field application frequency, active elimination regions radially defocus ions toward the lens walls.

Overtone mobility spectrometry: part 5. Simulations and analytical expressions describing overtone limits.

Mathematical expressions for the analytical duty cycle associated with different overtones in overtone mobility spectrometry are derived from the widths of the transmitted packets of ions under different instrumental operating conditions. Support for these derivations is provided through ion trajectory simulations. The outcome of the theory and simulations indicates that under all operating conditions there exists a limit or maximum observable overtone that will result in ion transmission.

Extracted Fragment Ion Mobility Distributions: A New Method for Complex Mixture Analysis.

A new method is presented for constructing ion mobility distributions of precursor ions based upon the extraction of drift time distributions that are monitored for selected fragment ions. The approach is demonstrated with a recently designed instrument that combines ion mobility spectrometry (IMS) with ion trap mass spectrometry (MS) and ion fragmentation, as shown in a recent publication [J. Am.

An ion mobility/ion trap/photodissociation instrument for characterization of ion structure.

A new instrument that combines ion mobility spectrometry (IMS) separations with tandem mass spectrometry (MS(n)) is described. Ion fragmentation is achieved with vacuum ultraviolet photodissociation (VUV PD) and/or collision-induced dissociation (CID). The instrument is comprised of an approximately 1 m long drift tube connected to a linear trap that has been interfaced to a pulsed F(2) laser (157 nm).