Density functional computations of Rh(I)-catalysed hydroacylation and hydrogenation of ethene using formic acid

The rhodium-catalysed hydroacylation of alkene is one of the most useful C–H bond activation processes. The C–C bond-forming reactions via C–H bond activation have extensively been the focus of study in the fields of organic and organometallic chemistry. In this work, density functional theory has been used to study Rh(I)-catalysed hydroacylation and hydrogenation of ethene with formic acid. All the intermediates and the transition states were optimised completely at the B3LYP/6-311++G(d,p) level (LANL2DZ(d) for Rh, P). Calculation results confirm that Rh(I)-catalysed hydroacylation of ethene is exothermic and the released Gibbs free energy is ? 60.39 kJ/mol. Rh(I)-catalysed hydrogenation of ethene is also exothermic and the released Gibbs free energy is ? 150.97 kJ/mol. Rh(I)-catalysed hydroacylation of ethene is the dominant reaction mode for Rh(I)-catalysed hydroacylation and hydrogenation of ethene with formic acid. In Rh(I)-catalysed hydroacylation of ethene, the H-transfer reaction is prior to the C–C bond-forming reaction. Therefore, the reaction mode ‘a’ (i.e. ca → M1 → TS1 → M2 → TS2a → M3a → TS3a → M4 → P1) is the dominant reaction pathway for Rh(I)-catalysed hydroacylation and hydrogenation of ethene. The theoretically predicted dominant product is propane acid.     

Oligonucleotides Incorporating 7-(Aminoalkyn-1-yl)-7-deaza-2′-deoxyguanosines: Duplex Stability and Phosphodiester Hydrolysis by Exonucleases

Abstract

Self-complementary {[5′-d(G-C)₄]₂} and non-selfcomplementary oligonucleotides [5′-d(TAG GTC AAT ACT) ? 3′-d(ATC CAG TTA TGA)] containing 7-(ω-aminoalkyn-1-yl)-7-deaza-2′-deoxyguanosines (1a–c) (1) and 7-deaza-2′-deoxyguanosine instead of dG were studied regarding their thermal stability as well as their phosphodiester hydrolysis by either 3′ → 5′- or 5′ → 3′ – phosphodi esterase studied by MALDI-TOF MS.     

Screening of bromotyramine analogues as antifouling compounds against marine bacteria

Rapid and efficient synthesis of 23 analogues inspired by bromotyramine derivatives, marine natural products, by means of CuSO₄-catalysed [3+2] alkyne–azide cycloaddition is described. The final target was then assayed for anti-biofilm activity against three Gram-negative marine bacteria, Pseudoalteromonas ulvae (TC14), Pseudoalteromonas lipolytica (TC8) and Paracoccus sp. (4M6). Most of the synthesised bromotyramine/triazole derivatives are more active than the parent natural products Moloka’iamine (A) and 3,5-dibromo-4-methoxy-β-phenethylamine (B) against biofilm formation by the three bacterial strains. Some of these compounds were shown to act as non-toxic inhibitors of biofilm development with EC₅₀ < 200 μM without any effect on bacterial growth even at high concentrations (200 μM).     

Density functional computations of Rh(I)-catalysed hydroacylation of acetic aldehyde and ethene

Density functional theory has been used to study Rh(I)-catalysed hydroacylation of acetic aldehyde and ethene. All the intermediates and the transition states were optimised completely at the B3LYP/6-311+ + G(d,p) level (LANL2DZ(d) for Rh, P). Calculation results confirm that Rh(I)-catalysed hydroacylation of acetic aldehyde and ethene is endothermic, and the total absorbed energy is about 47 kJ/mol. The hydroacylation involves four possible reaction channels, going mainly through Rh–ethene–aldehyde complexes, Rh–ethene–carbonyl complexes, Rh-ethanyl-carbonyl complexes, and Rh-ketone complexes. The formation of Rh–ethene–carbonyl complexes (i.e. Rh(I)-catalysed oxidative addition of aldehyde) is the rate-determinating step for the Rh(I)-catalysed hydroacylation. And the energy barriers of the H-transfer reaction are lower than those of the C–C bond-forming reaction, and thus the H-transfer reaction is prior to the C–C bond-forming reaction. Therefore, the dominant reaction channels predicted theoretically are the reaction channels “a” and “b”, which is well in agreement with the experiments.     

Nickel/zinc-catalyzed decarbonylative addition of anhydrides to alkynes: A DFT study

Density functional theory (DFT) was used to investigate the nickel- or nickel(0)/zinc- catalyzed decarbonylative addition of phthalic anhydrides to alkynes. All intermediates and transition states were optimized completely at the B3LYP/6-31+G(d,p) level. Calculated results indicated that the decarbonylative addition of phthalic anhydrides to alkynes was exergonic, and the total free energy released was ?87.6 kJ mol^?1. In the five-coordinated complexes M4a and M4b, the insertion reaction of alkynes into the Ni-C bond occurred prior to that into the Ni-O bond. The nickel(0)/zinc-catalyzed decarbonylative addition was much more dominant than the nickel-catalyzed one in whole catalytic decarbonylative addition. The reaction channel CA→M1'→T1'→M2'→T2'→M3a'→M4a'→T3a1'→M5a1' →T4a1'→M6a'→P was the most favorable among all reaction pathways of the nickel- or nickel(0)/zinc- catalyzed decarbonylative addition of phthalic anhydrides to alkynes. And the alkyne insertion reaction was the rate-determining step for this channel. The additive ZnCl₂ had a significant effect, and it might change greatly the electron and geometry structures of those intermediates and transition states. On the whole, the solvent effect decreased the free energy barriers.

Synthesis and biological evaluation of 2-styrylquinolines as antitumour agents and EGFR kinase inhibitors: molecular docking study

A new series of 4,6-disubstituted 2-(4-(dimethylamino)styryl)quinoline 4a,b–9a,b was synthesized by the reaction of 2-(4-(dimethylamino)styryl)-6-substituted quinoline-4-carboxylic acids 3a,b with thiosemicarbazide, p-hydroxybenzaldehyde, ethylcyanoacetate, and 2,4-pentandione. In addition, the antitumour activity of all synthesized compounds 3a,b–9a,b was studied via MTT assay against two cancer cell lines (HepG2 and HCT116). Furthermore, epidermal growth factor receptor (EGFR) inhibition, using the most potent antitumour compounds, 3a, 3b, 4a, 4b, and 8a, was evaluated. The interpretation of the results showed clearly that the derivatives 3a, 4a, and 4b exhibited the highest antitumour activities against the tested cell lines HepG2 and HCT116 with IC₅₀ range of 7.7–14.2?µg/ml, in comparison with the reference drugs 5-fluorouracil (IC₅₀?=?7.9 and 5.3?µg/ml, respectively) and afatinib (IC₅₀?=?5.4 and 11.4?µg/ml, respectively). In vitro EGFR screening showed that compounds 3a, 3b, 4a, 4b, and 8a exhibited moderate inhibition towards EGFR with IC₅₀ values at micromolar levels (IC₅₀ range of 16.01–1.11?µM) compared with the reference drugs sorafenib (IC₅₀ =?1.14?µM) and erlotinib (IC₅₀ =?0.1?µM). Molecular docking was performed to study the mode of interaction of compounds 3a and 4b with EGFR kinase.     

Design,synthesis of novel pyranotriazolopyrimidines and evaluation of their anti-soybean lipoxygenase,anti-xanthine oxidase,and cytotoxic activities

The synthesis of 14-(aryl)-14H-naphto[2,1-b]pyrano[3,2-e][1,2,4]triazolo[1,5-c]pyrimidine-2-yl) acetamidoximes 2a–e has been accomplished by reaction of 2-acetonitrile derivatives 1a–e with hydroxylamine. Cyclocondensation reaction of precursors 2a–e with some elctrophilic species such as ethylorthoformate, acetic anhydride, and methyl-acetoacetate provided the new oxadiazole derivatives 3a–e, 4a–e, and 5a–e, respectively. On the other hand, the reaction of precursors 2a–e with 2-chloropropanoyl chloride afforded the new acetimidamides 6a–e which evolve under reflux of toluene to the new oxadiazoles 7a–e. The synthetic compounds were screened for their anti-xanthine oxidase, anti-soybean lipoxygenase, and cytotoxic activities. Moderate to weak xanthine oxidase and soybean lipoxygenase inhibitions were obtained but significant cytotoxic activities were noted. The most cytotoxic activities were recorded mainly (i) 5a was the most active (IC_50?=_?4.0?μM) and selective against MCF-7 and (ii) 2a was cytotoxic against the four cell lines with selectivity for MCF-7 and OVCAR-3 (IC_50?=_?17 and 12?μM, respectively) while 2e is highly selective against OVCAR-3 (IC_50?=_?10?μM).     

Relationships Between Single Nucleotide Polymorphisms of the H-FABP Gene and Slaughter and Meat Quality Traits in Chicken

Using PCR-SSCP with five primer pairs, we detected six single nucleotide polymorphisms of the H-FABP gene: 332G → A, 534G → A, 783C → T, 835C → T, 1198T → C, and 2329C → T. Chi-square results showed significant differences (P < 0.05) in genotype frequency among breeds in Fragment 1 and extremely significant differences (P < 0.01) in Fragments 2–4. We found a significant association between Fragment 2 genotype and muscle fiber number, Arg and Thr (P < 0.05); between Fragment 3 genotype and living weight, carcass weight, breast muscle weight, abdominal fat weight, and abdominal fat percentage (P < 0.05); between Fragment 4 genotype and Thr, Phe, and inosinic acid (P < 0.05). It was concluded that H-FABP was the major gene influencing slaughter performance and meat quality or was linked with the major gene in these strains and that the C783T mutation could be used as a candidate molecular genetic marker for breeding selection. The combination M1C2–B2B2–D1D1 is an ideal model for breeding in these strains because it can improve slaughter and meat quality traits.     

Syntheses of all eight stereoisomers of conidendrin

ABSTRACT

All eight stereoisomers of conidendrin were synthesized from (1 R,2 S,3 S)-1-(4-benzyloxy-3-methoxyphenyl)-3-(4-benzyloxy-3-methoxybenzyl)-2- hydroxymethyl-1,4-butanediol ((+)-4) and its enantiomer with high optical purity. The configurations at 4-positions of the conidendrin stereoisomers were constructed by intramolecular Friedel-Crafts reaction of protected 4. After conversion to tetrahydronaphthalene intermediate 7a, the 2- and 3-position of tetrahydronaphthalene structure 7a were converted to 3a- and 9a-position of (+)-α-conidendrin (3a), respectively. By the epimerization process of 2- or 3-position of 7a, the other diastereomers were obtained. All enantiomers were also synthesized from (?)-4.     

Copper Nitrate Catalyzed Three-Component One-Pot Synthesis of 3,4-Dihydropyrimidin-2(1H)-Ones

Abstract

An efficient synthesis of 3,4-dihydropyrimidin-2(1H)-ones from aldehydes, 1,3-dicarbonyl compounds, and urea using copper nitrate under refluxing temperature in ethanol was described. Compared with other Lewis copper salts, copper nitrate proved to be the most efficient. The advantages of the new method were good yields (61–93%), short reaction time (0.4–3 h), and inexpensive catalyst.     

Copper(II), cobalt(II) and nickel(II) complexes of lapachol: synthesis,DNA interaction,and cytotoxicity

Three novel copper(II), cobalt(II), and nickel(II) complexes of lapachol (Lap) containing 110-phenanthroline (phen) ligand, [M(Lap)₂(phen)] (M=Cu(II), 1, Co(II), 2, and Ni(II), 3), have been synthesized and characterized using, elemental analysis and spectroscopic studies. Their interactions with calf thymus DNA (CT DNA) were investigated using viscosity, thermal denaturation, circular dichorism, fluorescence quenching, and electronic absorption spectroscopy. The DNA cleavage abilities of 1–3 have been studied, where cleavage activity of copper complex 1 is more than the complexes 2 and 3. The in vitro cytotoxic potential of the complexes 1–3 against human cervical carcinoma (HeLa), human liver hepatocellular carcinoma (HepG-2), and human colorectal adenocarcinoma (HT-29) cells indicated their promising antitumor activity with quite low IC₅₀ values in the range of .15–2.41 μM, which are lower than those of cisplatin.     

On the generation of OH<Superscript>·</Superscript> radical species from H<Subscript>2</Subscript>O<Subscript>2</Subscript> by Cu(I) amyloid beta peptide model complexes: a DFT investigation

According to different studies, the interaction between amyloid β-peptide (Aβ) and copper ions could yield radical oxygen species production, in particular the highly toxic hydroxyl radical OH^· that is suspected to contribute to Alzheimer’s disease pathogenesis. Despite intensive experimental and computational studies, the nature of the interaction between copper and Aβ peptide, as well as the redox reactivity of the system, are still matter of debate. It was proposed that in Cu(II) → Cu(I) reduction the complex Cu(II)–Aβ could follow a multi-step conformational change with redox active intermediates that may be responsible for OH^· radical production from H₂O₂ through a Fenton-like process. The purpose of this work is to evaluate, using ab initio Density Functional Theory computations, the reactivity of different Cu(I)–Aβ coordination modes proposed in the literature, in terms of OH^· production. For each coordination model, we considered the corresponding H₂O₂ adduct and performed a potential energy surface scan along the reaction coordinate of O–O bond dissociation of the peroxide, resulting in the production of OH^· radical, obtaining reaction profiles for the evaluation of the energetic of the process. This procedure allowed us to confirm the hypothesis according to which the most populated Cu(I)–Aβ two-histidine coordination is not able to perform efficiently H₂O₂ reduction, while a less populated three-coordinated form would be responsible for the OH^· production. We show that coordination modes featuring a third nitrogen containing electron-donor ligand (an imidazole ring of an histidine residue is slightly favored over the N-terminal amine group) are more active towards H₂O₂ reduction.     

Synthesis and potential antitumor activity of 7-(4-substituted piperazin-1-yl)-4-oxoquinolines based on ciprofloxacin and norfloxacin scaffolds: in silico studies

The potential antitumor activities of a series of 7-(4-substituted piperazin-1-yl)fluoroquinolone derivatives (1–14a,b) using ciprofloxacin and norfloxacin as scaffolds are described. These compounds exhibit potent and broad spectrum antitumor activities using 60 human cell lines in addition to the inherent antibacterial activity. Compounds 1a, 2a, 3b, 6b and 7a were found to be the most potent, while 2b, 5b, and 6a were found to have an average activity. The results of this study demonstrated that compounds 1a, 2a, 3b, 6b and 7a (mean GI₅₀; 2.63–3.09?µM) are nearly 7-fold more potent compared with the positive control 5-fluorouracil (mean GI₅₀; 22.60?µM). More interestingly, compounds 1a, 2a, 3b, 6b and 7a have an almost antitumor activity similar to gefitinib (mean GI₅₀; 3.24?µM) and are nearly 2-fold more potent compared to erlotinib (mean GI₅₀; 7.29?µM). In silico study and ADME-Tox prediction methodology were used to study the antitumor activity of the most active compounds and to identify the structural features required for antitumor activity.     

Impacts of terminal (4R)-fluoroproline and (4S)-fluoroproline residues on polyproline conformation

Many interests have been focused on prolyl cis–trans isomerization which is related to protein folding and isomer-specific biochemical recognition. Since polyproline can adopt either type I (PPI) helices with all cis amide bonds or type II (PPII) helices with all trans amide bonds, it has been a valuable model to study the prolyl isomerization. Recent studies have shown that stereoelectronic effects govern the stability of PPII structure and the rate of PPII → PPI conversion. To further explore the terminal stereoelectronic effects on polyproline conformation, herein we synthesized a series of host–guest peptides in which (2S,4S)-4-fluoroproline (flp) or (2S,4R)-4-fluoroproline (Flp) residues are incorporated into the C- or N-terminal end of a peptide and studied the thermodynamic and kinetic consequences on polyproline conformation. Circular dichroism measurements revealed that inserting 4-fluoroproline residues into the C terminus of a polyproline peptide induces a great stereoelectronic effect on PPII stability and PPII → PPI conversion rates. From the C terminus, a (Flp)₃ triplet stabilizes PPII structure and increases the transition barrier of PPII → PPI conversion by 1.53 kJ mol^?1 while a (flp)₃ triplet destabilizes PPII conformation and reduce the PPII → PPI transition barrier by 4.61 kJ mol^?1. In contrast, the 4-fluoroproline substitutions at the N terminus do not exhibit distinct stereoelectronic effects on PPII stability and PPII → PPI conversion rates. Our data demonstrate that the C-terminal stereoelectronic effects have a more dramatic impact on PPII stability and PPII → PPI conversion kinetics.     

N-(4-Hydroxyphenyl)-3,4,5-trimethoxybenzamide derivatives as potential memory enhancers: synthesis,biological evaluation and molecular simulation studies

The present paper describes the synthesis, biological evaluation and molecular simulation studies of a series of N-(4-hydroxyphenyl)-3,4,5-trimethoxybenzamide derivatives with N,N-dialkylaminoethoxy/propoxy moiety as potential memory enhancers with acetylcholinesterase-inhibiting activity having IC₅₀ in low micromolar range (4.0–16.5 μM). All the compounds showed a good degree of agreement between in vivo and in vitro results as most of these derivatives showed dose-dependent increase in percent retention. Compound 10a showed significant % retention of 84.73 ± 4.51 as compared to piracetam (46.88 ± 5.42) at 3 mg kg^?1 and also exhibited a maximal percent inhibition of 97% at 50 μM. Molecular docking, MM-GBSA and molecular simulation studies were performed establishing a correlation between the experimental biology and in silico results. In silico results indicate that all the compounds have better docking scores and predicted binding free energies as compared to cocrystallized ligand with the best potent ligand retaining conserved hydrophobic interactions with residues of catalytic triad (HIS447), catalytic anionic site (CAS) (TRP86, TYR337, PHE338) and peripheral anionic site (PAS) (TYR72, TYR124, TRP286 and TYR341). Root mean square deviation (RMSD = 2.4 Å) and root mean square fluctuations of 10a–AChE complex during simulation proved its stable nature in binding toward acetylcholinesterase. The docked conformation of 10a and other analogs at the binding site have also been simulated with polar and nonpolar interactions interlining the gorge residues from PAS to catalytic triad.     

Design,synthesis and biological evaluation of selected 3-[3-(amino) propoxy] benzenamines as acetylcholinesterase inhibitors

The present paper describes design, synthesis, and biological evaluation of a series of some 3-[3-(amino)propoxy]benzenamines as acetylcholinesterase inhibitors using mice as a model and piracetam as a reference drug. The structures of these compounds were confirmed by spectral analysis and compounds were tested for memory enhancing activity using elevated plus maze test and acetylcholinesterase inhibitory assay. The inhibitory range of synthesized compounds was from 8.99 to 28.31 μM. The synthesized compounds possessed higher or equivalent percent retention as compared to piracetam at 1 mg/kg with no other CNS-related activities (locomotor and muscle relaxant, analgesic and anticonvulsant activities). Compound 3-[3-(imidazolo)propoxy]benzenamine has shown significant dose-dependent (1 and 3 mg/kg) memory enhancing activity, while 3-[3-(pyrrolidino)propoxy]benzenamine also showed activity equivalent to reference drug piracetam at 1 mg/kg. Both compounds 3-[3-(pyrrolidino)propoxy]benzenamine and 3-[3-(imidazolo)propoxy]benzenamine were also found to show AChE inhibition with IC₅₀ value of 8.99 and 17.87 μM. The molecular docking, MM-GBSA and molecular dynamics simulation studies were performed in order to establish a relationship between the biological results. RMSD, root-mean-square fluctuations, and interaction patterns of 10a–AChE and Sck–AChE complexes proved that the binding affinity of 10a toward AChE was highly stable with the proposed binding orientations.     

Synthesis,biological evaluation,and molecular modelling of new naphthalene-chalcone derivatives as potential anticancer agents on MCF-7 breast cancer cells by targeting tubulin colchicine binding site

Abstract

A series of naphthalene-chalcone derivatives (3a–3t) were prepared and evaluated as tubulin polymerisation inhibitor for the treatment of breast cancer. All compounds were evaluated for their antiproliferative activity against MCF-7 cell line. The most of compounds displayed potent antiproliferative activity. Among them, compound 3a displayed the most potent antiproliferative activity with an IC₅₀ value of 1.42?±?0.15?µM, as compared to cisplatin (IC₅₀?=?15.24?±?1.27?µM). Additionally, the promising compound 3a demonstrated relatively lower cytotoxicity on normal cell line (HEK293) compared to tumour cell line. Furthermore, compound 3a was found to induce significant cell cycle arrest at the G₂/M phase and cell apoptosis. Compound 3a displayed potent tubulin polymerisation inhibitory activity with an IC₅₀ value of 8.4?µM, which was slightly more active than the reference compound colchicine (IC₅₀?=?10.6?µM). Molecular docking analysis suggested that 3a interact and bind at the colchicine binding site of the tubulin.     

Association of angiotensin-converting enzyme and endothelial Nitric Oxide synthase gene polymorphisms with vascular disease in ESRD patients in a Chinese population

Background The effect of angiotensin-converting enzyme (ACE) gene insertion/deletion (I/D) polymorphism and endothelial Nitric Oxide synthase (eNOS) gene G894 → T on vascular disease in end-stage renal disease (ESRD) patients was rarely studied previously. We investigated such effect in a Chinese population. Methods A total of 153 ESRD patients with vascular disease (88 men and 65 women; mean age ± SD: 54.0 ± 13.2) were recruited. Polymerase chain reaction was used to classify the ACE genotypes as II, ID and DD and the eNOS genotypes as GG, GT, and TT. Analyses were performed in ESRD patients with vascular disease (n = 153) and the age-matched controls (n = 148). Results The frequencies of ACE DD and eNOS TT genotypes and ACE D and eNOS T alleles in ESRD patients with vascular disease were significantly higher than those in the controls (P < 0.05). There was a significant interaction between ACE I/D alleles and eNOS G894 → T polymorphism: adjusted odds ratio 2.128 (95%CI 1.022–4.434, P = 0.017). Conclusions These results indicated that the etiology of vascular disease in ESRD patients is associated with ACE and eNOS (G894 → T) gene polymorphisms. Our data also suggest that an interaction effect may exist between ACE (I/D) and eNOS (G894 → T) polymorphism in increasing the risk of vascular complications in ESRD patients     

The synthesis of (Z)-4-oxo-4-(arylamino)but-2-enoic acids derivatives and determination of their inhibition properties against human carbonic anhydrase I and II isoenzymes

The synthesis of (Z)-4-oxo-4-(arylamino)but-2-enoic acid (4) derivatives containing structural characteristics that can be used for the synthesis of several active molecules, is presented. Some of the butenoic acid derivatives (4a, 4c, 4e, 4i, 4j, 4k) are synthesized following literature procedures and at the end of the reaction. In addition, structures of all synthesized derivatives (4a–4m) were determined by ¹H-NMR, ¹³C-NMR and IR spectroscopy. Carbonic anhydrase is a metalloenzyme involved in many crucial physiologic processes as it catalyzes a simple but fundamental reaction, the reversible hydration of carbon dioxide to bicarbonate and protons. Significant results were obtained by evaluating the enzyme inhibitory activities of these derivatives against human carbonic anhydrase hCA I and II isoenzymes (hCA I and II). Butenoic acid derivatives (4a–4m) strongly inhibited hCA I and II with K_is in the low nanomolar range of 1.85?±?0.58 to 5.04?±?1.46?nM against hCA I and in the range of 2.01?±?0.52 to 2.94?±?1.31?nM against hCA II.     

Energy transfer in purple bacterial photosynthetic units from cells grown in various light intensities

Three photosynthetic membranes, called intra-cytoplasmic membranes (ICMs), from wild-type and the ?pucBA_abce mutant of the purple phototrophic bacterium Rps. palustris were investigated using optical spectroscopy. The ICMs contain identical light-harvesting complex 1–reaction centers (LH1–RC) but have various spectral forms of light-harvesting complex 2 (LH2). Spectroscopic studies involving steady-state absorption, fluorescence, and femtosecond time-resolved absorption at room temperature and at 77 K focused on inter-protein excitation energy transfer. The studies investigated how energy transfer is affected by altered spectral features of the LH2 complexes as those develop under growth at different light conditions. The study shows that LH1 → LH2 excitation energy transfer is strongly affected if the LH2 complex alters its spectroscopic signature. The LH1 → LH2 excitation energy transfer rate modeled with the Förster mechanism and kinetic simulations of transient absorption of the ICMs demonstrated that the transfer rate will be 2–3 times larger for ICMs accumulating LH2 complexes with the classical B800–850 spectral signature (grown in high light) compared to the ICMs from the same strain grown in low light. For the ICMs from the ?pucBA_abce mutant, in which the B850 band of the LH2 complex is blue-shifted and almost degenerate with the B800 band, the LH1 → LH2 excitation energy transfer was not observed nor predicted by calculations.