Linking solid-state phenomena via energy differences in `archetype crystal structures'.

Categorization underlies understanding. Conceptualizing solid-state structures of organic molecules with `archetype crystal structures' bridges established categories of disorder, polymorphism and solid solutions and is herein extended to special position and high-Z' structures. The concept was developed in the context of disorder modelling [Dittrich, B. (2021). IUCrJ, 8, 305-318] and relies on adding quantum chemical energy differences between disorder components to other criteria as an explanation as to why disorder - and disappearing disorder - occurs in an average structure. Part of the concept is that disorder, as probed by diffraction, affects entire molecules, rather than just the parts of a molecule with differing conformations, and the finding that an R·T energy difference between disorder archetypes is usually not exceeded. An illustrative example combining disorder and special positions is the crystal structure of oestradiol hemihydrate analysed here, where its space-group/subgroup relationship is required to explain its disorder of hydrogen-bonded hydrogen atoms. In addition, we show how high-Z' structures can also be analysed energetically and understood via archetypes: high-Z' structures occur when an energy gain from combining different rather than overall alike conformations in a crystal significantly exceeds R·T, and this finding is discussed in the context of earlier explanations in the literature. Twinning is not related to archetype structures since it involves macroscopic domains of the same crystal structure. Archetype crystal structures are distinguished from crystal structure prediction trial structures in that an experimental reference structure is required for them. Categorization into archetype structures also has practical relevance, leading to a new practice of disorder modelling in experimental least-squares refinement alluded to in the above-mentioned publication.

[Epithelioid angiomyolipoma of the kidney after successfully treated malignant melanoma]. / Epitheloides Angiomyolipom der Niere nach stattgehabtem malignem Melanom.

BACKGROUND: Therapy of epitheloid angiomyolipomas (eAML) may be challenging, since unlike classical angiomyolipomas this rare subclass of benign mesenchymal angiomyolipomas may present with lymph node metastases, local recurrent disease, and/or systemic metastatic disease in up to 30% of cases. OBJECTIVES: We report here for the first time in Germany a case of eAML after successful treatment of malignant melanoma. MATERIALS AND METHODS: Clinical and histological findings as well as results of the genetic analysis of the angiomyolipoma are presented. RESULTS: A somatic, truncating mutation of the TSC2 gene was found in the angiomyolipoma. CONCLUSION: The relationship to histologically similar tumor entities are presented and therapeutic options based on the genetic classification are discussed.

Polymer-based ammonium-limited fed-batch cultivation in shake flasks improves lipid productivity of the microalga Chlorella vulgaris.

The aim of this work was to study ammonium-limited fed-batch conditions in heterotrophic C. vulgaris shake flask cultivations. Therefore, an innovative polymer-based ammonium release technique (polymer beads) was developed. Using these beads in shake flasks, C. vulgaris cultivations resulted in simultaneous growth and lipid accumulation. Lipid productivity was increased by 43% compared to batch cultivations. Furthermore, by online monitoring of the metabolic activity (RAMOS technique), unlimited growth and depletion of nutrients could be identified. A previously unknown sulfur limitation was detected in the applied Bold's Basal Medium. Combining the ammonium release beads with the RAMOS technique proved to be an efficient method for microalgae process development.

Polymer-based controlled-release fed-batch microtiter plate - diminishing the gap between early process development and production conditions.

BACKGROUND: Fed-batch conditions are advantageous for industrial cultivations as they avoid unfavorable phenomena appearing in batch cultivations. Those are for example the formation of overflow metabolites, catabolite repression, oxygen limitation or inhibition due to elevated osmotic concentrations. For both, the early bioprocess development and the optimization of existing bioprocesses, small-scale reaction vessels are applied to ensure high throughput, low costs and prompt results. However, most conventional small-scale procedures work in batch operation mode, which stands in contrast to fed-batch conditions in large-scale bioprocesses. Extensive expenditure for installations and operation accompany almost all cultivation systems in the market allowing fed-batch conditions in small-scale. An alternative, more cost efficient enzymatic glucose release system is strongly influenced by environmental conditions. To overcome these issues, this study investigates a polymer-based fed-batch system for controlled substrate release in microtiter plates. RESULTS: Immobilizing a solid silicone matrix with embedded glucose crystals at the bottom of each well of a microtiter plate is a suitable technique for implementing fed-batch conditions in microtiter plates. The results showed that the glucose release rate depends on the osmotic concentration, the pH and the temperature of the medium. Moreover, the applied nitrogen source proved to influence the glucose release rate. A new developed mathematical tool predicts the glucose release for various media conditions. The two model organisms E. coli and H. polymorpha were cultivated in the fed-batch microtiter plate to investigate the general applicability for microbial systems. Online monitoring of the oxygen transfer rate and offline analysis of substrate, product, biomass and pH confirmed that fed-batch conditions are comparable to large-scale cultivations. Furthermore, due to fed-batch conditions in microtiter plates, product formation could be enhanced by the factor 245 compared to batch cultivations. CONCLUSIONS: The polymer-based fed-batch microtiter plate represents a sophisticated and cost efficient system to mimic typical industrial fed-batch conditions in small-scale. Thus, a more reliable strain screening and early process development can be performed. A systematical scale-down with low expenditure of work, time and money is possible.

Azulene revisited: solid-state structure, invariom modeling and lattice-energy minimization of a classical example of disorder.

The molecular and solid-state structure of azulene both raise fundamental questions. Therefore, the disordered crystal structure of azulene was re-refined with invariom non-spherical atomic scattering factors from new single-crystal X-ray diffraction data with a resolution of d = 0.45 Å. An unconstrained refinement results in a molecular geometry with Cs symmetry. Refinements constrained to fulfill C2v symmetry, as observed in the gas phase and in high-level ab initio calculations, lead to similar figures of merit and residual densities as unconstrained ones. Such models are consistent with the structures from microwave spectroscopy and electron diffraction, albeit they are not the same. It is shown that for the disorder present in azulene, the invariom model describes valence electron density as successfully as it does for non-disordered structures, although the disorder still leads to high correlations mainly between positional parameters. Lattice-energy minimizations on a variety of ordered model structures using dispersion-corrected DFT calculations reveal that the local deviations from the average structure are small. Despite the molecular dipole moment there is no significant molecular ordering in any spatial direction. A superposition of all ordered model structures leads to a calculated average structure, which explains not only the experimental determined atomic coordinates, but also the apparently unusual experimental anisotropic displacement parameters.

Invariom refinement of a new monoclinic solvate of thiostrepton at 0.64†Šresolution.

A new monoclinic solvate containing two molecules of the thiopeptide antibiotic thiostrepton in the asymmetric unit has been crystallized in space group P2(1). Single-crystal diffraction data to a resolution of 0.64 Šwere collected at the SLS synchrotron, allowing structure solution by direct methods and resolution of the disorder present. Valence electron density can be observed in the Fourier residual density from refinement with the independent-atom model, which is a prerequisite for successful application of more sophisticated aspherical-atom scattering factors such as the invariom model when aiming to improve the structural model. Invariom refinement improves quality indicators such as R1(F) for thiostrepton, as previously demonstrated for small molecules. The nonspherical electron-density model also allows the direct derivation of a dipole moment and an electrostatic potential for the whole molecule, which is discussed in the context of antibiotic activity and molecular recognition.

The generalized invariom database (GID).

Invarioms are aspherical atomic scattering factors that enable structure refinement of more accurate and more precise geometries than refinements with the conventional independent atom model (IAM). The use of single-crystal X-ray diffraction data of a resolution better than sin θ/λ = 0.6 Å(-1) (or d = 0.83 Å) is recommended. The invariom scattering-factor database contains transferable pseudoatom parameters of the Hansen-Coppens multipole model and associated local atomic coordinate systems. Parameters were derived from geometry optimizations of suitable model compounds, whose IUPAC names are also contained in the database. Correct scattering-factor assignment and orientation reproduces molecular electron density to a good approximation. Molecular properties can hence be derived directly from the electron-density model. Coverage of chemical environments in the invariom database has been extended from the original amino acids, proteins and nucleic acid structures to many other environments encountered in organic chemistry. With over 2750 entries it now covers a wide sample of general organic chemistry involving the elements H, C, N and O, and to a lesser extent F, Si, S, P and Cl. With respect to the earlier version of the database, the main modification concerns scattering-factor notation. Modifications improve ease of use and success rates of automatic geometry-based scattering-factor assignment, especially in condensed hetero-aromatic ring systems, making the approach well suited to replace the IAM for structures of organic molecules.

Invariom modeling of ceftazidime pentahydrate: molecular properties from a 200 second synchrotron microcrystal experiment.

The structure of ceftazidime pentahydrate, a third generation cephalosporin antibiotic, is reported. Data collection was carried out in a remarkably short time with synchrotron radiation and the latest detector technology, illustrating that single-crystal X-ray diffraction can be used as a technique for screening hundreds of compounds in a short amount of time. Structure refinement made use of invarioms, namely non-spherical scattering factors, which allow more information to be derived from a diffraction experiment. Properties that can be screened are bond-topological parameters, empirical hydrogen-bond energies, molecular dipole moments and electrostatic potentials.

On QM/MM and MO/MO cluster calculations of all-atom anisotropic displacement parameters for molecules in crystal structures.

The practical aspects of ab initio calculation of anisotropic displacement parameters (ADPs) for molecules in crystal structures are investigated. Computationally efficient approaches to calculate ADPs are QM/MM or MO/MO methods, where quantum chemical calculations are split into a high-level and a low-level part. Such calculations allow geometry optimizations and subsequent frequency calculations of a central molecule in a cluster of surrounding molecules as found in the crystal lattice. The frequencies and associated displacements are then converted into ADPs. A series of such calculations were performed with different quantum chemical methods and basis sets on the three zwitterionic amino-acid structures of L-alanine, L-cysteine and L-threonine, where high-quality low-temperature X-ray data are available. To scale and compare calculated ADPs, X-ray ADPs from invariom refinement were used. The future use of calculated ADPs will include the investigation of systematic errors in experimental X-ray diffraction data. Completion of an isotropic structural model is already possible. Calculated ADPs might also make it possible to perform charge-density studies on data sets of limited resolution/coverage as obtained from weak scatterers, high-pressure measurements or to deconvolute electron density obtained from the maximum-entropy method.

Validation of experimental charge densities: refinement of the macrolide antibiotic roxithromycin.

Multipole refinements of larger organic molecules have so far been limited to a few exceptional cases. We report an investigation of the detailed experimental electron-density distribution (EDD) of roxithromycin, a macrolide antibiotic consisting of 134 atoms. Although the experimental multipole refinement on high-resolution synchrotron data converged smoothly, validation of the electron density by calculation of an `experiment minus invariom' difference density revealed conformational disorder of the H atoms. Hydrogen disorder is shown to affect the EDD, the electrostatic potential and atomic properties as defined by Bader's quantum theory of atoms in molecules. A procedure to obtain the electron density distribution in the presence of disorder is proposed.

Charge-density study on cyclosporine A.

Two single-crystal X-ray diffraction data sets of cyclosporine A were measured to high resolution using synchrotron radiation at temperatures of 5 and 90 K. They allowed an accurate determination of its molecular and electronic structure. Three electron-density models based on pseudoatom scattering factors were compared in terms of derived bond topological properties and in terms of electron-density differences on a grid. In one model multipole parameters were freely refined, whereas in the other two models the density was built up from fixed database parameters from the invariom database and University at Buffalo Databank. The data quality not only allowed benchmarking of the quality of both databases with the refined density, but also judgement of the feasibility of a multipole refinement of a larger oligopeptide structure such as cyclosporine A. Both databases performed equally well and reproduced the experimentally determined charge density satisfactorily.

Improvement of anisotropic displacement parameters from invariom-model refinements for three L-hydroxylysine structures.

Three L-hydroxylysine structures have been determined at 100 K by single-crystal X-ray diffraction. High-resolution data using either a laboratory or synchrotron source were collected and subjected to invariom- and independent atom-model (IAM) refinements. Anisotropic displacement parameters (ADPs) obtained from invariom refinement were compared (i) with results from a full multipole and (ii) with an IAM high-order refinement. Differences were visualized with the program PEANUT and were complemented by quantitative results from a Hirshfeld test. Influences of scale factor differences, and of refinement against F;2 versus F, have been investigated. Systematic errors were observed in the IAM, especially when only low-order data were available. Although these errors were reduced in high-order IAM refinements, they only disappeared in charge density--and likewise--invariom refinements.

Charge-density studies of energetic materials: CL-20 and FOX-7.

Experimental electron densities and derived properties have been determined for the two energetic materials CL-20 (3,5,9,11-tetraacetyl-14-oxo-1,3,5,7,9,11-hexaazapentacyclo-[5.5.3.02,6.04,10.08,12]pentadecane), and FOX-7 (1,1-diamino-2,2-dinitroethylene) from single-crystal diffraction. Synchrotron data extending to high scattering angles were measured at low temperature. Low figures-of-merit and excellent residuals were obtained. The Hansen & Coppens multipole-model electron density was compared with results from theoretical calculations via structure factors simulating an experiment. Chemical bonding in the molecules is discussed and a topological analysis gives insight especially into the character of those bonds that are thought to play a key role in the decomposition of the molecules. A comparison of theoretical and experimental electrostatic potentials shows no obvious evidence supporting earlier findings on other nitroheterocyclic molecules that electron-density maxima near the C-NO(2) bonds mapped on the electron-density isosurface can be correlated with impact sensitivities. For FOX-7 periodic Hartree-Fock calculations were performed to investigate the influence of the crystal field on the electron density distribution.

Can the interaction density be measured? The example of the non-standard amino acid sarcosine.

The experimental charge density rho(r) of the non-standard amino acid sarcosine has been determined based on an extensive and complete data set measured at 100 K to high resolution (sin theta/lambda = 1.18 A(-1)) by single-crystal X-ray diffraction. Anisotropic thermal motion of the H atoms, obtained from TLS + ONIOM cluster methods, was included in the structural model. Based on the multipole-model geometry, the theoretical Hartree-Fock interaction density of a molecule in the crystal has been calculated with CRYSTAL98. It manifests itself in local rearrangements of rho(r) and can be reproduced with a multipole projection via simulated structure factors. An attempt has also been made to obtain the interaction density from a combination of experimental and theoretical charge densities using either a whole-molecular calculation or the invariom database. Agreement with the periodic Hartree-Fock interaction density is qualitative. It is shown that invarioms reproduce the features of the theoretical multipole-projected whole-molecular electron density, and can be used to approximate it.

Redetermination, invariom-model and multipole refinement of L-ornithine hydrochloride.

The structure of L-ornithine hydrochloride, C(5)H(13)N(2)O2+Cl(-), has been redetermined at 100 K by single-crystal X-ray diffraction within a project that aims to generate accurate bond-distance restraints for the invariom refinement of proteins. The high-resolution data were subject to an invariom and a multipole refinement, and the resulting electron densities on a grid were compared. Improvements in the conventional R factor obtained by multipole modelling were smaller than in other structures containing solely the elements CHNO owing to Cl core scattering. Cruickshank's diffraction-component precision index and Stevens & Coppens suitability factor are discussed.

Introduction and validation of an invariom database for amino-acid, peptide and protein molecules.

A database of invarioms for structural refinement of amino-acid, oligopeptide and protein molecules is presented. The spherical scattering factors of the independent atom or promolecule model are replaced by ;individual' aspherical scattering factors that take into account the chemical environment of a bonded atom. All amino acids were analysed in terms of their invariom fragments. In order to generate 73 database entries that cover this class of compounds, 37 model compounds were geometry-optimized and theoretical structure factors were calculated. Multipole refinements were then performed on these theoretical structure factors to yield the invariom database. Validation of this database on an extensive number of experimental small-molecule crystal structures of varying quality and resolution shows that invariom modelling improves various figures of merit. Differences in figures of merit between invariom and promolecule models give insight into the importance of disorder for future protein-invariom refinements. The suitability of structural data for application of invarioms can be predicted by Cruickshank's diffraction-component precision index [Cruickshank (1999), Acta Cryst. D55, 583-601].

Fed-batch mode in shake flasks by slow-release technique.

Most industrial production processes are performed in fed-batch operational mode. In contrast, the screenings for microbial production strains are run in batch mode which results in completely different physiological conditions than relevant for production conditions. This may lead to wrong selections of strains. Silicone elastomer discs containing glucose crystals were developed to realize fed-batch fermentation in shake flasks. No other device for feeding was required. Glucose was fed in this way to Hansenula polymorpha cultures controlled by diffusion. Two strains of H. polymorpha were investigated in shake flasks: the wild-type strain (DSM 70277) and a recombinant strain pC10-FMD (P(FMD)-GFP). The oxygen transfer rate (OTR) and respiratory quotient (RQ) of the cultures were monitored online in shake flasks with a Respiration Activity Monitoring System (RAMOS). Formation of biomass and green fluorescent protein (GFP), pH-drift and the metabolite dynamics of glucose, ethanol and acetic acid were measured offline. With the slow-release technique overflow metabolism could be reduced leading to an increase of 85% in biomass yield. To date, 23.4 g/L cell dry weight of H. polymorpha could be achieved in shake flask. Biomass yields of 0.38-0.47 were obtained which are in the same magnitude of laboratory scale fermentors equipped with a substrate feed pump. GFP yield could be increased by a factor of 35 in Syn6-MES mineral medium. In fed-batch mode 88 mg/L GFP was synthesized with 35.9 g/L fed glucose. In contrast, only 2.5 mg/L with 40 g/L metabolized glucose was revealed in batch mode. In YNB mineral medium over 420-fold improvement in fed-batch mode was achieved with 421 mg/L GFP at 41.3 g/L fed glucose in comparison to less than 1 mg/L in batch mode with 40 g/L glucose.

Invarioms for improved absolute structure determination of light-atom crystal structures.

The determination of molecular absolute configuration from an X-ray analysis for structures that contain only light elements is challenging owing to the weak anomalous dispersion signal. The achievable precision of the Flack x parameter for such structures is therefore limited, especially when the independent-atom model is employed. Invariom modelling can improve this situation. Invarioms are theoretically predicted pseudoatoms within the Hansen & Coppens multipole formalism. They are transferable from one molecule to another and provide generalized aspherical atomic form factors. It is shown that, by application of the invariom approach, the precision and standard uncertainty of the Flack x parameter and therefore the reliability of deducing molecular chirality in an absolute structure determination can be improved.

Atomic and bond topological properties of the tripeptide L-alanyl-L-alanyl-L-alanine based on its experimental charge density obtained at 20 K.

A 20 K high resolution X-ray data set of L-Ala-L-Ala-L-Ala*1/2 H2O was measured using an ultra-low temperature laboratory setup, that combines area detection and a closed cycle helium cryostat. The charge density determination includes integration of atomic basins and topological analysis according to Bader's quantum theory of atoms in molecules. Two tripeptide units are found in the asymmetric unit, allowing the assessment of transferability of bond topological and atomic properties taking also into consideration previous data of oligopeptides. With respect to invariom modeling the limits of such transferability are investigated and the results of this study show the validity of the nearest/next-nearest neighbour approximation and support the use of database approaches for electron density modeling of macromolecules.