Time correlation function in systems with two coexisting biological species

We study a stochastic lattice model describing the dynamics of coexistence of two interacting biological species. The model comprehends the local processes of birth, death, and diffusion of individuals of each species and is grounded on interaction of the predator-prey type. The species coexistence can be of two types: With self-sustained coupled time oscillations of population densities and without oscillations. We perform numerical simulations of the model on a square lattice and analyze the temporal behavior of each species by computing the time correlation functions as well as the spectral densities. This analysis provides an appropriate characterization of the different types of coexistence. It is also used to examine linked population cycles in nature and in experiment.

1-furfuryl-3-furoylthiourea

The title compound, C11H10N2O3S, was synthesized from furoyl isothiocyanate and furfurylamine in dry acetone. The thiourea group is in the thioamide form. The trans-cis geometry of the thiourea group is stabilized by intramolecular hydrogen bonding between the carbonyl and cis-thioamide and results in a pseudo-S(6) planar ring which makes dihedral angles of 2.5 (3) and 88.1 (2)degrees with the furoyl and furfuryl groups, respectively. There is also an intramolecular hydrogen bond between the furan O atom and the other thioamide H atom. In the crystal structure, molecules are linked by two intermolecular N-H center dot center dot center dot O hydrogen bonds, forming dimers. These dimers are stacked within the crystal structure along the [010] direction.

2-(Phenylcarbonothioylsulfanyl)acetic acid

The title compound, C(9)H(8)O(2)S(2), can be used as a chain transfer agent and may be used to control the behavior of polymerization reactions. O-H center dot center dot center dot O hydrogen bonds of moderate character link the molecules into dimers. In the crystal, the dimers are linked into sheets by C-H center dot center dot center dot O interactions, forming R(4)(2)(12) and R(2)(2)(8) edge-fused rings running parallel to [101]. There are no intermolecular interactions involving the S atoms.

3-Nitrophenol-4,4 '-bipyridyl N,N '-dioxide (2/1): a DFT study and CSD analysis of DPNO molecular complexes

The title 2:1 complex of 3-nitrophenol (MNP) and 4,4'-bipyridyl N, N'-dioxide (DPNO), 2C(6)H(5)NO(3)center dot C(10)H(8)N(2)O(2) or 2MNP center dot DPNO, crystallizes as a centrosymmetric three-component adduct with a dihedral angle of 59.40 (8)degrees between the planes of the benzene rings of MNP and DPNO (the DPNO moiety lies across a crystallographic inversion centre located at the mid-point of the C-C bond linking its aromatic rings). The complex owes its formation to O-H center dot center dot center dot O hydrogen bonds [O center dot center dot center dot O = 2.605 (3) angstrom]. Molecules are linked by intermolecular C-H center dot center dot center dot O and C-H center dot center dot center dot N interactions forming R(2)(1) (6) and R(2)(2) (10) rings, and R(6)(6) (34) and R(4)(4) (26) macro-rings, all of which are aligned along the [(1) over bar 01] direction, and R(2)(2) (10) and R(2)(1) (7) rings aligned along the [010] direction. The combination of chains of rings along the [(1) over bar 01] and [010] directions generates the three-dimensional structure. A total of 27 systems containing the DNPO molecule and forming molecular complexes of an organic nature were analysed and compared with the structural characteristics of the dioxide reported here. The N-O distance [1.325 (2) angstrom] depends not only on the interactions involving the O atom at the N-O group, but also on the structural ordering and additional three-dimensional interactions in the crystal structure. A density functional theory (DFT) optimized structure at the B3LYP/6-311G(d,p) level is compared with the molecular structure in the solid state.

2-[(2-Carboxyphenyl)disulfanyl]benzoic acid-4,4 '-bipyridyl N,N '-dioxide (1/2)

In the title 2:1 adduct, C(14)H(10)O(4)S(2)center dot 0.5C(10)H(8)N(2)O(2), which arose from an unexpected oxidation of a precursor, the dihedral angle between the aromatic rings in the disulfide is 82.51 (11)degrees. In the crystal, the molecules are linked by O-H center dot center dot center dot O, OH center dot center dot center dot N and C-H center dot center dot center dot O interactions, generating sheets.

3-Nitrobenzoic acid-3-methyl-4-nitropyridine 1-oxide (1/1)

The title adduct, C(7)H(5)NO(4)center dot C(6)H(6)N(2)O(3), forms part of an ongoing study of the design of non-centrosymmetric systems based on 3-methy-4-nitropyridine 1-oxide. The components of the adduct are linked by intermolecular O-H center dot center dot center dot O hydrogen bonds. The rings of the two components are nearly planar, with a dihedral angle of 11.9 (2)degrees between the planes. The supramolecular structure shows that molecules of the title complex are linked into sheets by a combination of strong O-H center dot center dot center dot O and weak C-H center dot center dot center dot O hydrogen bonds.

4-{2-[4-(Dimethylamino)phenyl]ethylidene}benzonitrile

In the crystal of the title compound, C(17)H(16)N(2), molecules are linked by C-H center dot center dot center dot N hydrogen bonds, forming rings of graph-set motifs R(2)(1) (6) and R(2)(2) (10). The title molecule is close to planar, with a dihedral angle between the aromatic rings of 0.6 (1)degrees. Torsion angles confirm a conformational trans structure.

Redetermination of 1-benzyl-3-furoyl-1-phenylthiourea

The title compound, C(19)H(16)N(2)O(2)S, was synthesized from furoyl isothiocyanate and N-benzylaniline in dry acetone and the structure redetermined. The structure [Otazo-Sanchez et al. (2001). J. Chem. Soc. Perkin Trans. 2, pp. 2211-2218] has been re-determined in order to establish the intramolecular and intermolecular interactions. The thiourea group is in the thioamide form. The thiourea group makes a dihedral angle of 29.2 (6)degrees with the furoyl group. In the crystal structure, molecules are linked by intermolecular C-H center dot center dot center dot O interactions, forming one-dimensional chains along the a axis. An intramolecular N-H center dot center dot center dot O hydrogen bond is also present.

N-(4-chlorophenyl)maleimide

In the title compound, C10H6ClNO2, the dihedral angle between the benzene and maleimide rings is 47.54 (9)degrees. Molecules form centrosymmetric dimers through C-H center dot center dot center dot O hydrogen bonds, resulting in rings of graph- set motif R2 2(8) and chains in the [100] direction. Molecules are also linked by C-H center dot center dot center dot Cl hydrogen bonds along [001]. In this same direction, molecules are connected to other neighbouring molecules by C-H center dot center dot center dot O hydrogen bonds, forming edge- fused R-4(4)(24) rings.

1-(o-tolyl)thiourea

In the title compound, C(8)H(10)N(2)S, the o-tolyl group and the thiourea core are planar. The mean planes of the two groups are almost perpendicular [82.19 (8)degrees]. The thiourea group is in the thioamide form, in which resonance is present. In the crystal structure, molecules are linked by intermolecular N-H center dot center dot center dot S hydrogen bonds, forming two infinite chains parallel to the (110) and (110) planes.

1-(2-Furoyl)-3-(o-tolyl)thiourea

The title compound, C13H12N2O2S, was synthesized from furoyl isothiocyanate and o-toluidine in dry acetone. The thiourea group is in the thioamide form. The central thiourea fragment makes dihedral angles of 2.6 (1) and 22.4 (1)degrees with the ketofuran group and the benzene ring, respectively. The molecular structure is stabilized by N-H...O hydrogen bonds. In the crystal structure, centrosymmetrically related molecules are linked by a pair of N-H...S hydrogen bonds to form a dimer with an R-2(2)(6) ring motif.

N-(2-furylcarbonyl)piperidine-1-carbothioamide

The title compound, C11H14N2O2S, was synthesized from furoyl isothiocyanate and piperidine in dry acetone. The thiourea group is in the thioamide form. The thiourea group makes a dihedral angle of 53.9 (1)degrees with the furan carbonyl group. In the crystal structure, molecules are linked by intermolecular N-H center dot center dot center dot O hydrogen bonds, forming one-dimensional chains along the c axis. An intramolecular N-H center dot center dot center dot O hydrogen bond is also present.

1-(3-cyanophenyl)-3-(2-furoyl)thiourea

The title compound, C13H9N3O2S, was synthesized from furoyl isothiocyanate and 3-aminobenzonitrile in dry acetone. The thiourea group is in the thioamide form. The thiourea fragment makes dihedral angles of 3.91 (16) and 37.83 (12)degrees with the ketofuran group and the benzene ring, respectively. The molecular geometry is stabilized by N-H center dot center dot center dot O hydrogen bonds. In the crystal structure, centrosymmetrically related molecules are linked by two intermolecular N-H center dot center dot center dot S hydrogen bonds to form dimers.

1-(2-furoyl)-3-(1-naphthyl)thiourea

In the title compound, C(16)H(12)N(2)O(2)S, the carbonylthiourea group forms dihedral angles of 75.4 (1) and 13.1 (2)degrees, respectively, with the naphthalene ring system and furan ring. The molecule adopts a trans-cis configuration with respect to the positions of the furoyl and naphthyl groups relative to the S atom across the thiourea C-N bonds. This geometry is stabilized by an N-H center dot center dot center dot center dot O intramolecular hydrogen bond. In the crystal structure, molecules are linked by N-H center dot center dot center dot S hydrogen bonds, forming centrosymmetric dimers which are interlinked through C-H center dot center dot center dot pi interactions.

Morpholin-4-ium morpholine-4-carbodithioate

The title compound, C(4)H(10)NO(+)center dot C(5)H(8)NOS(2)(-), is built up of a morpholinium cation and a dithiocarbamate anion. In the crystal, two structurally independent formula units are linked via N-H center dot center dot center dot S hydrogen bonds, forming an inversion dimer, with graph-set motif R(4)(4)(12).