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Ibn AL-Haitham Journal For Pure and Applied Sciences College of Education for Pure Science / Ibn AL-Haitham
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ISSN: 1609-4042
eISSN: 2521-3407
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No. of publications: 2219
No. of views: 1889928
No. of Crossref citations: 722
Publication Date
Mon May 22 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The Spectrophotometric Determination of Samarium (III) With (l-2(2-Benzoinidazoly-AZO)-2-Hydroxy-3Naphthoic Acid
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Samarium(III) ions react with (l-2(2-benzoinidazolyl-azo)-2-hydroxy-3-naphthoic acid in basic medium (pH = 8.0) forms a red-orange complex at A.max (550nm). The complex was found to be stable for at least 48 hrs. at the given pH. The apparent molar absorptivity is 7776.77  L.mol-1.Cm-1 and a linear calibration curve is obtained in the range (0.639x  10-5M - 6.350x 10 -5M). The stoichiometry of complex was confirmed by using mole ratio method which indicated that ratio of reagent to metal is 3:1. The effects of the presence of different cations and anions as interferences in the determination of samarium(III) under the given conditions were investigated

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Publication Date
Sun Apr 23 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Proposed Speech Analyses Method Using the Multiwavelet Transform
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  Speech is the first invented way of communication that human used age before the invention of writing. In this paper, proposed method for speech analyses to extract features by using multiwavelet Transform (Repeated Row Preprocessing).The proposed system depends on the Euclidian differences of the coefficients of the multiwavelet Transform to determine the beast features of speech recognition. Each sample value in the reference file is computed by taking the average value of four samples for the same data (four speakers for the same phoneme). The result of the input data to every frame value in the reference file using the Euclidian distance to determine the frame with the minimum distance is said to be the "Best Match". Simulatio

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Publication Date
Sun Apr 16 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Substrate Temperature Effect on the Structure, Morphological and Optical Properties of CuO/Sapphire Thin Films Prepared by Pulsed Laser deposition
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This paper addresses the substrate temperature effect on the structure, morphological and optical properties of copper oxide (CuO) thin films deposited by pulsed laser deposition (PLD) method on sapphire substrate of 150nm thickness. The films deposited at two different substrate temperatures (473 and 673)K. The atomic force microscopy (AFM), Fourier transform infrared spectroscopy (FTIR) and UV-VIS transmission spectroscopy were employed to characterize the size, morphology, crystalline structure and optical properties of the prepared thin films. The surface characteristics were studied by using AFM. It is found that as the substrate temperature increases, the grain size increased but the surface roughness decreased.  The FTIR spec

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Publication Date
Wed Aug 16 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Study the improvement of thermo - mechanical properties for polyester adhesive by using different fibers (glass, kevelar, and carbon).
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The   mechanical    properties   of   fiber-reinforced-polymer   (FRP)

composites are dependent on the type amount, and orientation of fiber that is selected for a particular service. There are many commercially available reinforcement forms to meet the design requirements of the user. The ability of failure in the fiber architecture allows for optimized performance of a product that saves both weight and cost ( 12).

A modem technology is adopted to produce fibers (glass, kevelar,

and carbon) reinforced composite by using unsaturated polyester, where different volume fraction  of these fibers are used  (0, 0.2, 0.4, 0.6, 0.8,  I)

reinfor

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Publication Date
Mon Aug 14 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Photoconductivity of sensitization (ZnO/ Polystyrene(PS))Composites by Rose Bengal Dye
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The photoactive behaviour of rose bengal dye sensitized (ZnO/ Polystyrene (PS)) composites was studied. Two concentrations of composite(30% Zn0/70% PS) and (50% ZnO 150% PS) with (0.05 0.1.0.3,1%)weight percentages of dye were used. The composites are photoconductive and the photoconductivity action spectrum gives the effect of the dye in the visible region.

In the absence of dye within the composites,  no photoactivity  is

observed  in this  region  of the spectrum. The photoconductivity  is affected by the dye content.

Time of flight technique was used to measure response time. The

rise time of the photocurrent is fast and the decay is slow.

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Publication Date
Sun Apr 23 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Design an Algorithm to Calculate the Inverse Permutations Of the Symmetric Group Sn In Computer
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  The search is an application for one of the problems of mathematics in the computer; as providing construction and design of a major program to calculate the inverse permutations of the symmetric group Sn , where 1 ≤ n ≤ 13; using some of the methods used in the Number Theory by computer . Also the research includes design flow chart for the main program and design flow chart for the program inverse permutations and we give some illustrative examples for different symmetric groups and their inverse permutations.

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Publication Date
Sat Dec 30 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Sy nthesis of Some New Schifrs-Bases Derived From 2-(4-m ethoxy phenyl)-5- (4-amino phenyl)-1,3,4-0xadiazole
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A new compound  2-(4-methoxyphcnyl)-5-(4-aminophenyl)-1,3,4-

oxadiazole (VI) was prepared by intramol ecular condensation reaction followed  by elimination  of some simple  moieties such  as IhO  and HCI by using  POCI3 with acid hydrazide. A series of new Shiffs­

bases 2-(4-methoxyphenyl)-5-[4(4:alkoxybenzoyloxy) benzylidene amino phenyl] I,3,4-oxadia:t.ole (VII].was synthesized from treatment

of oxadiazole derivative [VI] with an appropriate  aromatic aldehyde

(IU). Struct\lfe of the resulting products have been ascertaim:d by their melting pointS, elemental analysis ( some of them) and spectral data.

 

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Publication Date
Thu Dec 28 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Evaluating the Relationship Between GPS Output and Planimetry System
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. This       rtsearch      involveda     a  study  of     the     relationship

between GPS coordinates and  planimetry coordinates.     It         was found that  there is  a relation  between   GPS output coordinates and

the  coordinates of a distance point from the positi on of the GPS point

. In order to pricist the direction of distance a reference point had been

used which is

( Greenwich  Mean  observatory) GMO.

The   angles   between   the  studying

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Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Determination of Ibuprofen in Pharmaceutical Formulations Using Differential Pulse Polarography
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     A reliable differential pulse polarographic (DPP) method has been developed and applied for the determination of ibuprofen IBU in dosage form with dropping mercury electrode (DME) versus Ag/AgCl. The best peak was found at cathodic peak of -1.18 V in phosphate buffer at pH=4 and 0.025M of KNO3 as supporting electrolyte. In order to obtaine the highest sensitivity, instrumental and experimental parameters were examined including the type and concentration of supporting electrolyte, pH of buffer solution, pulse amplitude and voltage step time. Diffusion current showed a direct linear relationship to ibuprofen concentration in the range of (5 – 30) μg. mL-1 (2.43× 10-5

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Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Spectrophotometric Determination of some Drugs using Oxidation Reduction Reactions
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     A spectrophotometric method is proposed for the determination of some drugs containing amino group such as mesalazine, metoclopramide and dopamine in pharmaceutical formulations. It was simple, precise, accurate, rapid, and based on the oxidation of each drug with chromate as an oxidizing agent in the presence of 1N hydrochloric acid. Then indigo carmine is reacted with residual chromate in the presence of a catalysis factor (sodium oxalate). Increasing in absorbance's value of the color system is proportional to the amount of the three drugs which is measured at the selected wavelength of 610 nm.

The proposed method is obeying Beer's law in the ranges of (1-40, 2-44 and 2-52) ppm for the concentration of

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Publication Date
Fri Dec 29 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Optimum Time Schedule for Industrial Processes (II)
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The  present study  deals  with successive  stages  of  productive

operations happened to produce a production within each stage befo re it  moves to the next one. ll cou ld  be deduced that this study is an extension  to what bas  been mentioned  in (1 ) .ln  (I),  the  optimum distribution of  di!Terent jobs of  workers and  machines  in  the productive operations has been st ud ied whi le the study  invol ves the optimum schedule for the succession of these operations presuming that thay have already been distributed on machines and workers (2).A mathematical form has been put for this study to define the "Object.ive Function "

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Publication Date
Fri Jun 14 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Myxobolus Infections of the Cyprinid Fishes from Lesser Zab and Greater Zab Rivers, North of Iraq with the Record of Seven Species of Myxobolus for the First Time in Iraq
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 A total of 1453 freshwater fishes, belonging to 14 species of the
family Cyprinidae was collected from Lesser Zab and Greater Zab
rivers in north of Iraq during the period from November 2000 to the
end of November 2001. The inspection of skin, gills and different
internal organs revealed the infection of these fishes with a total of 14
species of Myxobolus which included seven species that represented
their first record in Iraq. These species included M. bulbocordis from
both Barbus sharpeyi and Chondrostoma regium; M. karuni from B
grypus; M. mesopotamiae from B. luteus; M. molnári from B
esocinus; M. pcrsicus from both B. grypus and Cyprinion macrostomum;
M.  Shaagani from both B. b

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Publication Date
Sat Jun 15 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Factors Affecting The Stability Of Rutin In Buffered Aqueous Extract Of The Plant Alhagi Graecorum
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The flavonoid rutin is the main content of the a queous extract of
the Iraqi plant Alhagi graecorum (family Leguminosae) which was
given to patients with different dental diseases and gave successful
results In this investigation , the amount of rutin is determined and was
found to be 4mg/100gm of the dried plant and it is equivalent to
4mg/500ml (0.8mg/100ml) of the mouthwash formula which was
prepared in this study This study reported for the first time the expiration date of rutin
in the prepared formula and was found to be 2.1 years. It also reported
for the first time that the ionic strength, buffer type and buffer concentration had no effect on the hydrolysis of rutin. Photochemical decomposition of

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Publication Date
Mon Sep 25 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Modified Simplex - Spectrophotometric Determination of Clonazepam via Charge-Transfer Complexation
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A simple, sensitive, accurate, and precise spectrophotometric method for the determination of clonazepam (CLNZ) was developed. The method is based on charge transfer reaction between CLNZ and p-Bromanil (p-Br) to form a colored complex. The optimum conditions of complex formation were investigated by (1). Unvariable method, for the optimization of reagent concentration, base concentration, temperature, and time. (2). Multivariable simplex method including the effect of three experimental factors via; reagent concentration, concentration of NaOH and time. The linearity range of CLNZ was (1-30) μg.mL-1 at 378 nm under condition established via simplex method with molar absorptivity (1.9069x104) L.

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Publication Date
Mon Sep 25 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis,Charaterization and Biological Activity Studies of Some Transtion and Non transition Metalcomplexes with(4 – Dithiocarbamato-N-(5- methylisoxazole-3-yle)- ion-ligand)
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This work involves the preparation of the ligand [KL] :-                    Â­Â­Â­Â­Â­Â­

K[4-(N-(5-methylisoxazol-3-yl) sulfamyl) phenylcarbamodithioate] from the reaction of sulfamethoxazole  with Carbon disulfide  in the presence of  potassium hydroxide under reflux (4 hours) using methanol as asolvent. The prepared ligand was characterized using FT-IR, UV-Vis, 1H,13C–NMR spectroscopy, molar conductivity and melting point,  Complexes for the above ligand [KL] with some bivalent transition and non-transition metals (Mn +2, Co+2  , Ni+2  ,

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Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Surveying the Organization of Digital Contents in the Internet Environments Using Ontological Approaches
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     Ontology is a system for classifying human knowledge according to its objective characteristics and hierarchical relations through building clusters or that bear common characteristics. In digital environments, it is a mechanism that helps regulate a vast amount of information by achieving a complete link between sub-thematic concepts and their main assets. The purpose of this study is to survey the previously conducted studies that use ontology in organizing digital data on social networking sites, such as the search engines Yahoo, Google, and social networks as Facebook and their findings. Results have shown that all these studies invest ontology for the purpose of organizing digital content data, especially on

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Publication Date
Wed Sep 11 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Automated Reconstruction and Manual Curation of Amino Acid Biosynthesis Pathways in Sulfolobus solfataricus P2
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The efficient sequencing techniques have significantly increased the number of genomes that are now available, including the Crenarchaeon Sulfolobus solfataricus P2 genome. The genome-scale metabolic pathways in Sulfolobus solfataricus P2 were predicted by implementing the “Pathway Tools” software using MetaCyc database as reference knowledge base. A Pathway/Genome Data Base (PGDB) specific for Sulfolobus solfataricus P2 was created. A curation approach was carried out regarding all the amino acids biosynthetic pathways. Experimental literatures as well as homology-, orthology- and context-based protein function prediction methods were followed for the curation process. The “PathoLogic”

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Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Colorimetric Determination of Meprobamate after a simple derivatization
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     A sensitive and environmentally benign spectrometric method was developed for quantifying Meprobamate (MEP). The analyzed MEP was derivatized into a colored complex and determined spectrometrically. The colorimetric analytical parameters were optimized and validated. Low limit of detection (LOD) was achieved down to 1.88×10-6 mol/l while the limit of quantification (LOQ) was extended over the range of 1.97×10-6 - 1.35×10-3 mol/l. The high precision has been denoted by the 1.54% value of the coefficient of variation. The recovery was 96.07%, while the RSD (n=3) was 1.05 - 1.19%. The apparent molar absorptivity (Ɛ) obtained within 1154.7 - 1691.9 L.mol-1.cm

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Publication Date
Sat Sep 23 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis and Charact'erizatio.n of new Schiff base ligand [(2-{1-[(2 hydraxy­ benzylidene)-hydrazono]-ethyl} benzene-I, 3, 5--triol.] and it's CQmp.lexes. with Co en\ Ni . (U),, c·u(U)' and · zn(II).
...Show More Authors

The eaction  of 2 4 .6-trihydroxyactophenonemonohydra1e  with

l hydr.azine monohydrate was realized ti·nder reflu.(( in methanol and i:l.

Jew drops of glacial acetic acid we.re added to give lhe'(int rmediate)

2-(1hydr pno-ctbyt)-benzcne-·1.3.5-r:Qql,       which      reacted     wittl

saEcy.laldehyde. jn methm)ql to gjy;e 'a new :tyRe CNzOi) Ligand  (H:flL]

f(2-{1-[(2-=bydroxy-bertzylide·ne)-bydrazqoo,J-e·thy.1}bcnze·neJ ;3·,5

of

 

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Publication Date
Fri Sep 22 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Photoinduced Electron Transfer Between Metalloporphyrin Complex Dihydroxy Antimony ( v) Tetrapbenylporphine and Halide in Acetonitrile Solution
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:Electron transfer (El) through molecular frameworks is. ce.ntral

to  a wide  range  of  chemical,  physical  ,  an   biological   processes. Atheoretical  calculation  Â·investigation   of  (ED  between  dihydroxy antimony  (V)   tetraP.henylporphine cation  (Sb''(TP.P)(04)2] and halid cr,Br·,r ,and SCN- is presented . These Calculations &re  is fiting on experrnental  studies  Showing  that the rate of Electron Transfer. The theoretical  Calculation   are   based  Â·an   a   eontinm: m   theory.   The tran:sferr ng &nbsp

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Publication Date
Mon Sep 25 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis, Spectroscopic and Theoretical Studies of Some New Transition Metal Complexes with Mixed ligands Schiff Base and Bipyridyl
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The complexes Shiff base  and  mixed ligands complexes of bipyridyl and Schiff base 1,5-dimethyl-4-(5-oxohexan-2-ylideneamino)-2-phenyl-1H-pyrazol-3(2H)-one (L) with Cr(III), Mn(II), Fe(II) and Co(II) were prepared. The compounds have been characterized by FT-IR, UV-Vis, mass and 1H and 13C-NMR spectra, magnetic moment, elemental microanalyses (C.H.N.), chloride containing, atomic absorption and molar conductance. The studies made are indicating towards octahedral geometry for these complexes. Hyper Chem-8 program has been used to prediction structural geometries of compounds in gas state, the heat of formation, binding energy, total energy and electronic energy and dipole moment at 298oK. The c

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Publication Date
Mon Sep 25 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
A Comparative Study for the Proton Electronic Stopping Power of Some Polymers by Using Mathematica, SRIM2013, PSTAR, LibdEdx, and Experimental Databases
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The available experimental data of proton electronic stopping power for Polyethylene, Mylar, Kapton and Polystyrene are compared with Mathematica, SRIM2013, PSTAR and libdEdx programs or databases.  The comparison involves sketching out both experimental and databases data for each polymer to discuss the agreement. Further, we use statistical means via standard deviation resulting from the mean normalized difference to describe the precise agreement among the databases and the experimental data. We found that there is not a specific one database can describe the experimental data for certain material at given proton energy.

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Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Approximate Solutions for Alcohol Consumption Model in Spain
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     In this paper, our aim is to solve analytically a nonlinear social epidemic model as an initial value problem (IVP) of ordinary differential equations. The mathematical social epidemic model under study is applied to alcohol consumption model in Spain. The economic cost of alcohol consumption in Spain is affected by the amount of alcohol consumed. This paper refers to the study of alcohol consumption using some analytical methods. Adomian decomposition and variation iteration methods for solving alcohol consumption model have used. Finally, a compression between the analytic solutions of the two used methods and the previous actual values from 1997 to 2007 years is obtained using the absolute and

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Publication Date
Mon Sep 16 2019
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Peristaltic Flow of the Bingham Plastic Fluid in a Curved Channel
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    In this paper, we study the peristaltic transport of incompressible Bingham plastic fluid in a curved channel. The formulation of the problem is presented through, the regular perturbation technique for small values of  is used to find the final expression of stream function. The numerical solution of pressure rise per wave length is obtained through numerical integration because its analytical solution is impossible. Also the trapping phenomenon is analyzed. The effect of the variation of the physical parameters of the problem are discussed and illustrated graphically.

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Publication Date
Sun Jul 20 2025
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Preparation and Characterization of rGO/Fe<sub>3</sub>O<sub>4</sub>/MnO<sub>2</sub> Nanocomposite for Enhanced Removal of Terasil Black Dye in Waste Water Treatment
...Show More Authors

     This study focuses on the synthesis and characterization of a ternary nanocomposite comprising reduced graphene oxide (rGO), magnetite (Fe3O4), and manganese dioxide (MnO2) nanoparticles (NPs). The aim of using it is to remove Terasil Black dye from water, particularly in textile industries. The nanocomposite was created using a co-precipitation method, followed by physical bonding with MnO2 NPs. The structural properties, surface morphology, and elemental composition were evaluated through X-ray diffraction (XRD), Field Emission Scanning Electron Microscopy (FESEM), and energy-dispersive X-ray (EDX) analysis. The XRD results confirmed the presence of an amorphous phase along with dist

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Publication Date
Sun Jul 20 2025
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Screening of Wheat Genotypes under Drought and Salinity Stresses During Germination and Seedling Traits
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   This study examines wheat genotypes under combined and single drought and salinity stresses, assessing germination and seedling growth traits, as environmental issues like high salinity and drought significantly impact plant life..  The experiment was carried out to meet these goals. To identify the most and least tolerant genotypes, 16 genotypes were tested. Water potentials of 0. -0.5, -1.0, -1.5, and -2.0Mpa were used as treatments to create water stress by adding polyethylene glycol (PEG-6000) and sodium chloride together(D+S). After 15 days of putting seeds in Petri dishes, growth parameters were assessed, including germination percentage (%), speed of emergence (%), seedling vigour index, shoot length (cm), and fresh and drie

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Publication Date
Sun Jul 20 2025
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Antiproliferative Activity of Crude Marcescin on Human Laryngx Epidermoid Carcinoma (Hep-2) Cell Line in Vitro Study
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Marcescin is a bacteriocin that is extracted from isolates of Serratia marcescens, which is a gram-negative bacterium that belongs to the family Enterobacteraeaceae and is considered a nosocomial pathogenic bacteria. In this research, the toxic effect of crude marcescin extracted from the S. marcescens bacteria on the human laryngx epidermoid carcinoma (Hep-2) cell line was investigated. S. marcescens was isolated from blood, urine, and stool samples of patients from Nursing House Hospital, Baghdad Teaching Hospital, and Teaching Laboratories of Medical City by using a series of dilutions to concentrations of (0.00, 1.95, 3.9, 7.8, 15.62, 31.25, 62.5, 125, 250, 500, and 1000) µg/ml and an exposure time of (24

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Publication Date
Sun Apr 30 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis and Study Biological Activity of Some New Isoxazoline and Pyrazoline derivatives
...Show More Authors

   This work involves synthesis of novel Schiff bases derivatives contining isoxazoline or pyrazoline units starting with chalcons . 4-Aminoacetophenone was reacted with 3-nitrobenzaldehyde in basic medium giving chalcone [I] by claisen-schemidt reaction. The chalcone [I]  was reacted with hydroxylamine hydrochloride giving isoxazoline [II]  in basic medium. The chalcone [I] could also react with hydrazitne hydrate to give pyrazoline [III]  . The novel Schiff bases with structural formula [IV] and [V] were prepared by the reaction of amino compounds ; isoxazoline [II] and pyrazolines [III] with p-substituted aldehydes or p-subsituted ketones, respectively in dry benzene using drops of glacial acetic acid as a cat

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Publication Date
Sun Apr 30 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis, Spectroscopic and Biological Studies of a New Some Complexes with N-Pyridin-2-Ylmethyl-Benzene-1,2Diamine
...Show More Authors

 N-Pyridin-2-ylmethyl-benzene-1,2-diamine (L) was prepared from the reaction of ortho amino phenyl thiol with 2 – amino methyl pyridine in mole ratio (1:1) . It was characterized by elemental analysis (C.H.N) , FT-IR , Uv – Vis , 1H , 13C-N.M.R . The complexes of the bivalent ions (Co , Ni , Cu ,Pd , Cd , Hg and Pb) and the trivalent (Cr) have been prepared and characterized too . The structural was established by elemental analysis (C.H.N) , FT-IR , Uv – Vis spectra , conductivity measurements , atomic absorption and magnetic susceptibility . The complexes showed characteristic behavior of octahedral geometry around the metal ions and the (N,N,N) ligand coordinated in tridentat mode except with Pd complexes sho

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Publication Date
Thu Oct 20 2022
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Calculation of Modes Properties for Single-Mode and Multimode Fibers at 633 nm
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The need for optical fibers has emerged for its ability to transmit information with less attenuation and over long distances. In this work, four optical fibers with core radii from 1 μm to 4.75 μm in steps of 1.25 μm and a numerical aperture of 0.17 were studied and their modes properties have been calculated at a wavelength of 633 nm by using RP Fiber Calculator (free version 2022). Also, the effect of increasing the core radius on these properties has been studied. Multimode fibers can be obtained when the radius of the fiber core is large compared to the operating wavelength of the fiber which is less than the cutoff wavelength of the mode. Otherwise, a single-mode fiber is obtained. It has been concluded that all the calculated p

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