SERBIAN ACADEMY OF SCIENCES AND ARTS

ISSN 1820-340X

SERBIAN ACADEMY OF SCIENCES AND ARTS

BULLETIN OF SCIENTIFIC RESEARCH Annual Report for 2004

BELGRADE, 2005

EDITORIAL BOARD Corresponding Member Vidojko Jović Academician Ivan Gutman Corresponding Member Nikola Tucić Academician Dragutin Dražić Academician Veselinka Šušić Corresponding Member Aleksandar Loma Corresponding Member Časlav Ocić Corresponding Member Momčilo Spremić Academician Radomir Reljić EDITOR Corresponding Member Vidojko Jović EDITOR-IN-CHIEF Academician Nikola Tasić

LANGUAGE EDITING Borislav Kostić DESIGN Kranislav Vranić PRINT Press Expres, Belgrade

CONTENTS Editor’s Note

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DEPARTMENT OF MATHEMATICS, PHYSICS AND EARTH SCIENCES

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EARTH SCIENCES MATHEMATICS AND MECHANICS PHYSICS AND METEOROLOGY Interdepartmental Committees Interacademic Cooperation

DEPARTMENT OF CHEMICAL AND BIOLOGICAL SCIENCES PHYSICAL CHEMISTRY CHEMISTRY BIOLOGY Interdepartmental Committees Interacademic Cooperation

DEPARTMENT OF TECHNICAL SCIENCES DEPARTMENT OF MEDICAL SCIENCES DEPARTMENT OF LANGUAGE AND LITERATURE Interdepartmental Committees Interacademic Committee

DEPARTMENT OF SOCIAL SCIENCES DEPARTMENT OF HISTORICAL SCIENCES DEPARTMENT OF FINE ARTS AND MUSIC CENTER FOR SCIENTIFIC RESEARCH OF SASA AND UNIVERSITY OF NIŠ CENTER FOR SCIENTIFIC RESEARCH OF SASA AND UNIVERSITY OF KRAGUJEVAC MEETINGS IN 2004 PUBLISHING ACTIVITY IN 2004

9 17 21 27 30 32 32 34 40 44 58 61 72 92 99 100 102 109 128 130 134 141 143

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EDITOR’S NOTE The Scientific Research Fund of the Serbian Academy of Sciences and Arts (SASA) provided and allocated funds for scientific-research work, publishing activity, interacademic and international cooperation, for the participation of SASA members and their associates at scientific gatherings in the country and abroad, for the acquisition of scientific literature and other scientific-research work needs. In 2004, scientific research programme of the Serbian Academy of Sciences and Arts, including the Branch in Novi Sad and Centers in Niš and Kragujevac was carried out through: 64 projects in the field of Natural Sciences and Mathematics, 16 in the field of Technical Sciences, 24 projects in the field of Medical Sciences, 21 projects in the field of Language and Literature, 9 projects in the field of Social Sciences, 40 projects in the field of Historical Sciences and 5 projects in the field of Fine Arts and Music. Work results were published in scientific and expert journals, monographs or were reported at scientific gatherings. In 2004, 33 books (out of which 6 joint publications) have been published in publications of SASA. The total number of copies in which these SASA publications have been published is 16300 copies. In these books: 272 works by 420 authors, on 922 author’s sheets, i.e. 824 press sheets have been published. In the course of 2004, 92 members and associates of SASA resided and participated at scientific meetings in the country and abroad, also some 70 scientists according to the bilateral agreement of free exchange of research workers have visited SASA as lecturers or members of official delegations and have participated at the scientific meetings. During 2004, the Academy has organized 18 scientific meetings, one roundtable and 11 lectures. In 2004, the resources that have been provided by the Fund for acquirement of expert literature were mainly used for subscription to foreign journals and acquisition of other foreign scientific publications according to the needs of certain committees, research teams and individuals whose research is being realized through the Academy’s scientific research programme. Part of the fund was used for the acquisition of domestic scientific publications. 7

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DEPARTMENT OF MATHEMATICS, PHYSICS AND EARTH SCIENCES EARTH SCIENCES Project: INVESTIGATION OF PALEOFLORA AND PALEOFAUNA OF SERBIA (Corresponding Member Marko Ercegovac) 1. The historical and geological evolution of Serbia in Phanerozoic The complex study of Paleozoic, Mesozoic and Tertiary sediments of Serbia from paleontologic, biostratigraphic and paleoecological aspects is continued in 2004. It included two main problems: Devonian in the Carpatho-Balkanides of Eastern Serbia and Geodynamics and Paleoclimate as the Basis of the Development of Middle Cretaceous Land Vegetation in the Central Tethys. 2. Investigation of fossil flora and fauna of Serbia The study of paleontologic and biostratigraphic characteristics of green algae (Dasycladacean from Upper Turonian of the NW Serbia), rudists (evolution, phylogeny, biostratigraphy and taxonomy of the Senonian rudist genus Pseudopolyconites), echinoids (Eocene), conodonts (Triassic of Serbia and Hungary), radiolarians (Jurassic), ostracods (Miocene, Pliocene), palynomorphs (Permian-Triassic of Carpatho-Balkanides and Dinarides, Middle and Upper Cretaceous of Vojvodina, Miocene of Panonian Basin) and mamals from Тertiary sedimentary basins of Serbia is continued. Krstić B., Filipović I., Maslarević Lj., Sudar M., Ercegovac M., 2004: Karbon središnjih delova Balkanskog poluostrva. I savjetovanje geologa Bosne i Hercegovine s međunarodnim sudjelovanjem, Kladanj, BiH, 24-25. 06. 2004, Zbornik sažetaka, 53-54, Udruženje geologa BiH, Sarajevo.

Project: PALYNOMORPHS FROM PALEOZOIC AND MESOZOIC SEDIMENTS IN SERBIA (Corresponding Member Marko Ercegovac) Paleontological and geological investigations of Devonian deposits in the area of the Carpatho-Balkanides in Eastern Serbia (in several large Alpine geotectonic units) are finished. Investigations of palynomorphs from the Upper Permian and Lower Triassic sediments in Stara Planina (Carpatho-Balkanides) and Pošćensko Jezero – Durmitor (Dinarides) were continued. 9

Dulić I., Sladić-Trifunović M., Dunčić M., Žumberković V., Bogićević K., 2004: Upper Cretaceous oceanic red beds of Serbia. XXII International Geological Congress, 20-28 August 2004, Florence, Abstracts. Ercegovac M., Kostić A., 2004: Organic facies and palynofacies: nomenclature, classification and application for petroleum source rocks evaluation. 56th Annual Meeting of the International Committee for Coal and Organic Petrology, Environmental management implications of organic facies studies, 12-18 September 2004, Budapest, Abstract Book, 18-19. Ercegovac M., Životić D., Kostić A., 2004: Genetic-industrial Classification of Brown Coals in Serbia. 56th Annual Meeting of the International Committee for Coal and Organic Petrology, Environmental management implications of organic facies studies, 12-18 September 2004, Budapest, Abstract Book, 23-24. Ercegovac M., 2004: Microscopical characteristics of organic facies and palynofacies of active upwelling systems of the continental margin of Costa Rica (ODP LEG 170). Bulletin T. CXXVIII de l’Academie serbe des sciences et des arts, Sciences naturelles, 42, 393-402, Beograd. Krstić B., Maslarević Lj., Ercegovac M., Sudar M., Djajić S., 2004: Devonian in the Carpatho-Balkanides of Eastern Serbia. Bulletin T. CXXVIII de l’Academie serbe des sciences at des arts, Science naturelles, 42, 7-16. Krstić N., 2004: Some Pontian Leptocytherid Ostracodes from Trilophos, Thessaloniki (Greece). Bulletin T. CXXVIII de l’Academie serbe des sciences et des arts, Sciences naturelles, 42, 273-281, Beograd. Mihajlović Đ., Lazarević Z., 2004: Fossil Flora from Late Neogene of Bitola Area, FYR Macedonia. Bulletin T. CXXVIII de l’Academie serbe des sciences et des arts, Sciences naturelles, 42, 283-304, Beograd. Radoičić R., 2004: Permocalculus nikolapantici n.sp. (Udoteaceae ?) from the Upper Turonian of the NW Serbia. Bulletin T. CXXVIII de l’Academie serbe des sciences et des arts, Sciences naturelles, 42, 237-258, Beograd. Radoičić R., Conrad M.A., Carras N., 2004: Observation on Neomeris cretacea var. undulata Rainere followed by Dassicladella bonardii, n.sp. (Dasycladales, green algae). Revue de Paleobiologie, vol. 24/3, Geneve. Radoičić R., Buser S., 2004: Biostratigrafija gornjekrednih plasti v okolici Bovca. Geologija, 47/2, Ljubljana. Radoičić R., 2004: Note on Paleocene Algae in Dubrovnik Coast (Adriatic Carbonate Platform). Annales Geologique Peninsule Balkanique, 65 (2002-2003), 29-45. Sladić-Trifunović M., 2004: On the Evolution and Phylogeny, Biostratigraphy, Taxonomy of the Senonian Rudist Genus Pseudopolyconites. Bulletin T. CXXVIII de l’Academie serbe des sciences et des arts, Sciences naturelles, 42, 199-235, Beograd. Sladić-Trifunović M., 2004: Why the Upper Cretaceous rudists of Eastern Serbia almost occur exlusively in the Late Senonian (Late Campanian?- Early Maastrihtian) sediments. XXII International Geological Congress, 20-28 August 2004, Florence, Abstracts.

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0Project: GЕОDYNAMICS (Academician Stevan Karamata) 1. Теrranes of Serbia and neighboring areas (Academician Stevan Karamata) The determination of the boundaries of the terranes in Eastern Serbia continued. The study of the olistostrome melange at the north of the Moračke Kape (Northern Montenegro) is progressing. Reflectometric measurements (M. Ercegovac) of the Paleozoic metasediments from cores of the boreholes of Szendroo (Hungary) have undergone according to the presence of meta-antracite the green-schist fazies metamorphism. 2. Movement of blocks and plates (Prof. Milorad Dimitrijević Ph.D.) The movement of blocks and units sitiuated recently at the south of Tissia and the first sketch of the formation of the geologic framework of the Balkan Peninsula is finished. Four maps of the paleoenvironments of the Circum-Pannonian Region for the Variscan Preflysch (Devonian-Early Carboniferous), Late Variscan (Latest Carboniferous to Early Permian), Initial Neotethyan Rifting (Middle-Late Triassic), and Maximum Neotethyan Spreading (Middle Jurassic) periods were printed. S. Karamata, B. Krstić and M. Sudar are co-authors for the area at the south of the Pannonian Basin. Karamata S., 2004: Balkan Peninsula - a complex gelogical framework. Proceedings of the 5th International Symposium on Eastern Mediterranean Geology, Thessaloniki, Greece, 14-20 April 2004, Vol. 1, 389-391. Ebner F., †Pamić J., Kovacs S., Sedekenyi T., Vai G.B., Venturini C., Kraeutner H.G., Karamata S., Krstić B., Sudar M., Vozar J., Vozarova A., †Mioč P., 2004: Variscan Preflysch (Devonian-Early Carboniferous) Environments, 1:2.500.000. Tectonostratigraphic Terrane and Paleoenvironments Maps of the Circum-Pannonian Region. Edit. K. Breznyansky, Geological Institute of Hungary, Budapest. Vozarova A., Vozar J., Ebner F., †Pamić J., Kovacs S., Sedekenyi T., Vai G.B., Venturini C., Kraeutner H.G., Karamata S., Krstić B., Sudar M., †Mioč P., 2004: Late Variscan (Latest Carboniferous to Early Permian) Environments, 1:2.500.000. Tectonostratigraphic Terrane and Paleoenvironments Maps of the Circum-Pannonian Region. Edit. K. Breznyansky, Geological Institute of Hungary, Budapest. Ebner F., Gawlick H.-J., †Pamić J., Kovacs S., Haas, J., Gaetani M., Kraeutner H.G., Karamata S., Krstić B., Sudar M., Mello J., Polak M., †Mioč P., 2004: Initial Neotethyan Rifting (Middle-Late Triassic) Environments, 1:2.500.000. Tectonostratigraphic Terrane and Paleoenvironments Maps of the Circum-Pannonian Region. Edit. K. Breznyansky, Geological Institute of Hungary, Budapest. Ebner F., Gawlick H.-J., †Pamić J., Kovacs S., Haas, J., Gaetani M., Castellarin A., Kraeutner H.G., Karamata S., Krstić B., Sudar M., Mello J., Polak M., †Mioč P., 2004: Maximum Neotethyan Spreading (Middle Jurassic) Environments, 1:2.500.000. Tectonostratigraphic Terrane and Paleoenvironments Maps of the Circum-Pannonian Region. Edit. K. Breznyansky, Geological Institute of Hungary, Budapest.

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3. Ophiolitic belts of the Balkan Peninsula and the evolution of oceanic realms (Academician Stevan Karamata) The Western belt of the Vardar Zone, as the youngest (it was closed during the Early Maastrichtian) and therefore of special interest was specially studied. Karamata S., Memović E., Milovanović D., Olujić J., Sladić-Trifunović M., Cvetković V., Vujnović L., 2004: Zapadni gornjotrijaski do gornjokredni ofiolitski pojas Vardarske zone (The western Upper Triassic to Upper Cretaceous ophiolitic belt of the Vardar Zone). Zbornik sažetaka, I Savjetovanje geologa Bosne i Hercegovine, 47-48, Sarajevo (in Serbian).

4. Cherts, influence of geological environment on their properties (Academician Stevan Karamata) The study of the cherts of Uzlomac with extension to the East (Nemila) and to the West (Eastern Kozara) continued. The analytical work on new samples is in progress. The results obtained in 2003 were presented and published. Vasić N., Olujić J., Vujnović L., Karamata S., 2004: Trijasko-jurska formacija slojevitih rožnaca Uzlomca (The Triassic-Jurassic bedded chert formation of Uzlomac). Zbornik sažetaka, I Savjetovanje geologa Bosne i Hercegovine, 112-113, Sarajevo (in Serbian). Karamata S., Vasić N., Olujić J., Vishnevskaya V., Marchenko T., Vujnović L., Micić V., 2004: The Bedded Chert Sequence of Uzlomac (Bosnia) an Association Formed at the Continental Slope Beneath the Dinaridic Upper Triassic - Jurassic Carbonate Platform. Bulletin CXIX de l’Academie Serbe des Sciences et des Arts, Classe des Sciences mathematiques et naturelles, 42, 363-378, Beograd.

5. The rift-magmatism of the Dinarides (Prof. Vera Knežević-Djordjević Ph.D.) The meta-basalts of Dudin Krš, which represent the easternmost volcanics of this magmatism were investigated (by E. Memović) and the results are in print. 6. The post-collisional magmatism in the axial part of the Balkan Peninsula (Prof. Vera Knežević-Djordjević Ph.D.) The study of these granitoids continued and was extended to the Variscan granitic rocks of Eastern Serbia. 7. Меtamorphism related to the emplacement of ophiolite complexes (Academician Stevan Karamata) The study of the metamorphic rocks, mainly amphibolites, in the base of the Banjska, the Troglav, and at the flanks of the Ozren ultramafics is in progress. The synthesis of the data on the Brezovica ultramafic mass was done and the results are published. Bazylev B.A., Karamata S., Zakariadze G.S., 2003: Petrology and evolution of the Brezovica ultramafic massif, Serbia. In: Y. Dilek & P.T. Robinson (Eds.), Ophiolites in the Earth History, Geological Society, London, Special Publications, 218, 91-108, London.

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8. Меtamorphism in the area of Gora (south of Prizren) (Prof. Vera KneževićDjordjević Ph.D.) The synthesis of the Gora region is in preparation. It will include the metamorphic events and processes. 9. The Neogene of Serbia (Nadežda Krstić Ph.D.) The results of this subproject were presented at six international meetings in 2004: Thessaloniki, Nice, Kladanj, Tashkent, Florence and Belgrade. Considering the thickness of the Upper Pliocene deposits in Euroasia the their basis was deepening towards the east. The thickness of these deposits is in the area of the Caspian Lake up to 3,500 meters, in Valachia and Transsilvania more than 500 meters and in the Pannonian Basin up to only 200 meters. These differences are, however, not only due to the sinking rate of the basement, but also because of erosion of some parts of these deposits during periods of emersion. 10. Rocks formed under high pressure – eclogites (Academician Stevan Karamata) The first results were presented at the Meeting at Bratislava. Korikovsky S., Karamata S., Milovanović D., 2003: Retrograded kyanite eclogites and eclogitized gabbro-norites of the Serbo-macedonian unit, Central Serbia: reaction textures and geothermobarometry. Zbornik abstractov konferencii Petrologia a jej aplikacie: sučasnost a perspektivy, Univ. Komensheho v Bratislave, Prirodoved. fakulta, Kat. min. a petr., 13-14, Bratislava.

The first results of age determinations of the zircons from the eclogites and semieclogites from Gornji Brestovac (near Bojnik) and from Djunis indicate an Early Paleozoic age. Project: GЕОМОRPHOLOGICAL MAP OF SERBIA IN SCALE 1:50.000 (Academician Stevan Karamata) The geomorphological maps sheets Vlasotince 3, Leskovac 2 and Užice 4 are in work. Project: GEOCHEMISTRY (Academician Zoran Maksimović) 1. Geochemistry of the Upper Mantle and the igneous rocks of the Earth’s crust Two groups of ultrapotassic rocks are recognized in Serbia: the lamproites concentrated mostly in the central parts of the Vardar ophiolitic suture zone, and the kamafugites outcropping in volcanoes restricted to the western part of Serbia. The

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Sr and Nd isotopic signatures of the primitive LAG rocks correlate with REE fractionation and enrichment of most high field strength elements (HFSE), and can be explained by vein+wall-rock melting, involving metasomatic veins with phlogopite, clinopyroxene and F-apatite that are out of isotopic equilibrium with the peridotite wall rock. Decompression melting, with varying contributions from depleted peridotite and veins to the final melt, accounts for consistent HFSE-enrichment and isotopic variations in the LAG rocks. Conversely, the most primitive KAG rocks show relatively uniform Sr and Nd isotopic compositions and trace element patterns, and small but regular variations of HFSE, indicating different degrees of melting of a relatively homogeneously metasomatized mantle source. Cvetković V., Downes H., Prelević D., Jovanović M., 2004: Characteristics of the lithospheric mantle beneath East Serbia inferred from ultramafic xenoliths in Paleogene basanites. Contributions to Mineralogy and Petrology, 148, 335–357. Cvetković V., Prelević D., Downes H., Jovanović M., Vaselli O., Pécskay Z., 2004: Origin and geodynamic significance of Tertiary post-collisional basaltic magmatism in Serbia (central Balkan Peninsula). Lithos, 73, 161-186. Prelević D., Cvetković V., 2004: The role of magma-mixing processes in the origin of Teriary shoshonitic and high-K-calcalkaline volcanics from Serbia. 10th Congres of the Geological Society of Greece, 15–17 April 2004, Thessaloniki, Greece, Extended Abstracts, 566. Prelević D., Cvetković V., Foley S.F., Romer R.L., 2004: Serbian Tertiary ultrapotassic province - petrology, geochemistry and geodynamic significance. 10th Congres of the Geological Society of Greece, 15-17 April 2004, Thessaloniki, Greece. Extended Abstracts, 564-565. Prelević D., Foley S.F., Cvetković V., 2004: The role of magma-mixing processes in the origin of Tertiary shoshonitic and high-K-calcalkaline volcanics from Serbia: implications for the origin of orogenic lamproites. European Geosciences Union, General Assembly 2004, Nice, France, 25-30 April 2004, Abstracts CD, Vol. 6, 00958, SRefID:1607-7962/gra/ EGU04-A-00958. Prelević D., Foley S.F., Cvetković V., Romer R.L., 2004: The analcime problem and its impact on geochemistry of ultrapotassic rocks from Serbia. Mineralogical Magazine, 68 (4), 633–648. Prelević D., Foley S.F., Cvetković V., Romer R.L., 2004: Origin of minette by mixing of lamproite and superheated felsic magmas in Veliki Majdan, Serbia. Journal of Petrology, 45, 759-792.

2. Geochemistry of the rock alteration From the karstic nickel deposit in the village Ba, near Ljig, Western Serbia, hydrous nickel minerals as well as Ni-bearing minerals have been studied: nepouite, takovite, ”an unknown Ni-Al hydrosilicate”, Ni-Cr-bearing smectite, Ni-bearing goethite, Ni-Co-asbolan and Ni-Mg-calcite. Field relations and some properties of these minerals are presented and their genesis discussed.

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In 2004 started the study of geochemical and mineralogical characteristics of quartz-carbonate rocks (listvenite), which occur as large veins in ultramafic rocks in the area of Gokčanica and Plana, in the vicinity of Željin Mountain. These rocks have been discovered more than 50 years ago (Z. Maksimović, S. Divljan, 1953). Collected samples from the best exposed profiles in the locality Žuti Krš (Yellow Rock) in Gokčanica will be also studied for isotope contents for determination of formation temperature. Alteration of phlogopite from kersantite of Prečica (Avala Mt., Serbia) was studied using various methods: optical microscopy, X-ray diffraction, electron microprobe, scanning electron microscopy and atomic absorption spectrophotometry. In altered kersantite vermiculite is alteration product, and K ions are released that is important for soil chemistry. In Pranjani Basin there is sepiolite deposit near the villages Andrići and Tolići. Sepiolite is of sedimentary origin and it studied by X-ray diffraction and chemical methods. Beside sepiolite, palygorskite and montmorillonite are present. Soil samples from Botanical Garden in Belgrade, taken from the same sites – 2 m and 20 m from the street – in 1996 and 1997, near to 29 November Street, known as an extremely busy traffic street in Belgrade, were studied. Granulometric composition, pH and Eh, the humus content, mineral composition of soil clay fraction, and the trace element content in bulk samples and soil clay fraction were determined. The contents of Pb, Zn, Cr and Cu are higher than permisible values and originated from intensive traffic along the street, and the contents of Co, Li and V are very low. All studied elements are enriched in soil clay fraction. The content of Ca, Mg, Na, K, Fe, nitrates, phosphates and some trace elements (Sr, Li, Ni, Cl) in bulk, water-soluble and HCl-soluble samples was analyzed in the Miocene limestones of Tašmajdan (Belgrade). Limestones are characterized by increased content of nitrates of organic origin (up to 0.345 %). Comparing the content of nitrates with the contents of Ca, Mg and Na in a water-soluble part of sample it can be concluded that there is a polymineral agregate of Ca-, Mg- and Na-nitrate. In the oldest part of Belgrade, below the Kalemegdan fortress, Miocene limestones lie over sands of the same age. The content of Cu, Mn, Cr and Li are mainly in the range of normal values, but Pb and Ni are enriched. Such enrichment in Pb can be explained by very intensive public traffic around the fortress. In the monograph Geochemical Principles in Ecological Management, containing seven chapters, the following problems are described: eco-management and complexity of ecological sciences; chemical elements in and on Earth; radioactivity and environment; soil pollution; water pollution; geomedicine; the role of some chemical elements in genesis of microelementosis. It is a multidisciplinary synthesis of geochemistry and ecology, showing the way of modern study of environment.

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Cvetkovic O., Curiale J., Vitorovic D., Jarvie D., Jovic V., 2004: Sedimentary organic matter concentrates prepared by simulation of bacterial demineralization. 32nd International Geological Congress, Florence, Session G04.05 – Organic Geochemistry, file://F:\abstract\AA321GCK8CH.html Jovic V., 2004: Geochemical characteristics of Miocene limestones of Tašmajdan and Kalemegdan (Belgrade, Serbia). Geochimica Cosmochimica Acta, Special Supplement (Abstracts of the 13th Annual V.M. Goldschmidt Conference, Copenhagen, Denmark, June 5-11, 2004), Vol. 68, No. 11S, A318. Jović V., Jovanović L., 2004: Geochemical Principles in Ecological Management. Monograph, Ecologica, Beograd, 216 p. (in Serbian). Jović V., Prelević D., 2004: Vermiculite from Prečica (Avala Mt., Serbia). In: V. Jović, V. Simić (editors), Deposits of Natural Microporous Resources in Serbia. Workshop, June 21-25, 2004 – Guide for field trips, June 21-25, 2004, Faculty of Mining and Geology, Department for Exploration of Mineral Deposits, Belgrade, 7-11. Kovačević M., Simić V., Jović V., 2004: Sepiolite deposit Andrići (Pranjani basin). In: V. Jović, V. Simić (editors), Deposits of Natural Microporous Resources in Serbia, Workshop, June 21-25, 2004 – Guide for field trips. Faculty of Mining and Geology, Department for Exploration of Mineral Deposits, Belgrade, 27-29. Мaksimović Z., Pantó Gy., 2004: Rare earth elements and nickel in the karstic bauxite deposit Grebnik, Metohija (Kosovo). Acta Geologica Hungarica, Vol. 47, No. 2/3, 259-268. Maksimović Z., Pantó Gy., 2004: Rare earth elements and authigenic RE minerals in the karstic bauxite deposits. 32nd International Geological Congress, Florence, Italy, August 20-28, 2004, Abstracts, Session 326-28, 92. Maksimović Z.J., 2004: Karstic Nickel Deposit in the Village Ba, near Ljig, Western Serbia: Ni-Bearing Minerals and their Genesis. Bulletin T. CXXVIII de l’Academie serbe des sciences et des arts, Sciences naturelles, 42, 341-361, Beograd.

3. Мineralogy Permanent activity during the current year has been mainly devoted to the investigations of samples from the Bor copper deposit, with the intention of finding the convenient areas of minerals of the colusite group, as follows: tungsten germanite, with the simplified formula Cu6WGeS8, and renierite, Cu6FeGeS8, necessary for their determination. Also, the monograph titled as Minerals of the stannite and colusite groups in the copper deposits in Eastern Serbia is in preparation, in the CD form. Diffuse reflectance spectra of ten serpentinites from different localities was obtained using computer controlled spectrophotometer Beckman DU, chopped signal and lock-in amplifier. The representative specimen, from Kopaonik mountain is the mixture of lizardite, and clinochrysotile with the Fe2+=0.50 % and Fe3+=0.77 %. Two types of absorption bands were found: caused by crystal field electron transitions and the (OH) vibration’s overtones. Another characteristics of the spectrum is the intensive continual absorption that appears as a background caused by Fe3+—>O2- charge transfer with maximum in ultraviolet region. The main features of serpentine spectra in the investigated wavenumbers region are: 1) Broad, low intensity crystal field peaks of Fe3+[VI] and poorly resolved Fe2+[VI]; 2) Sharp, 16

narrow bands of (OH) vibrations overtone; 3) Background of Fe3+-O charge transfer and 4) Spectral distribution of the scattering coefficient S, arising from textural inhomogeneities with the considerable contribution to the shape of the absorption curve and, therefore, the actual color of serpentinites. The vein serpentine mineral from Kačanik is studied. It has polygonal morphology and clinochrysotile, 2Mc1, structure. Parallel grooves (striation) on the surface of mineral are a consequence of shearing stress caused by intensive tectonic movement. Having assumed that the shearing stress was significant element in the arrangement of fibers, we cut the section parallel with and perpendicular to the striation. Surface of both slices are examined by Atomic Force Microscope (AFM). Annabergite, (Ni2.50Mg0.42Fe0.05)2.97(AsO4)2 · 8H2O, from Marušići, Kopaonik Mt. (South Serbia), crystallizes in space group C2/m, with a=10.185(3), b = 13.323(3), c = 4.730(1) Å, β = 105,00(2)0, V = 620,0(2) Å3, Z = 2, is studied. Logar M., Poharc-Logar V., 2004: Structural interpretation of the polarized absorption spectra (400-1650 nm) of annabergite, Ni2(AsO4) · 8H2O. Physical Chemistry 2004, Belgrade, 137-139. Logar M., Poharc-Logar V., Rosić A., Jakšić Lj., 2004: Visible and NIR spectra of serpentines from Serbia; contribution to the remote sensing. Extended Abstracts 10th International Congres of the Geological Society of Greece, Solun, 473-474. Logar M., Poharc-Logar V., Vasiljević-Radović D., 2004: Tectonic shearing stress and effect on serpentine polytipism. 32nd International Geological Congress, Florence, Abstracts 62-16.

MATHEMATICS AND MECHANICS Project: ASYMPTOTIC BEHAVIOUR OF GENERALIZED FUNCTIONS, THEORY AND APPLICATIONS (Academician Bogoljub Stanković) The space of distribution-valued functions have been studied as the smallest space of generalized functions which can be useful in some problems of mechanics and which can easily be applied. Stanković B., 2004: Laplace transform of distribution-valued functions and its applications. Bulletin Académie serbe des sciences et des arts, Sciences mathématiques, 29, 61-78.

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Project: SEMI-RIEMANNIAN GEOMETRY (Academician Mileva Prvanović) Studying the conformal change of the metric of Kähler manifold, K. Yano introduced the complex conformal connection. Investigating the complex conformal connection of the locally conformal Kähler manifolds, the necessary and sufficient condition for the curvature tensor of such connection to be an algebraic curvature tensor is determined. Some consequences are given. Prvanović M., 2003: Complex conformal connection on the locally conformal Kähler manifolds. Kragujevac Journal of Mathematics, 25, 127-138.

Project: NONLINEAR ANALYSIS IN FUZZY STRUCTURES (Academician Olga Hadžić) Some important properties of t-norms which are useful in the fixed point theory in probabilistic metric spaces are considered, and theorems on the existence of fixed points of some classes of contractive mappings are proved. Applications in the theory of stochastic operators equations are given. Hadžić O., Pap E., 2005: Triangular norms in probabilistic metric spaces and fixed point theory. In: E.P. Klement, R. Mesiar (Eds.), Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms, Elsevier, 431-459.

Project: COMPUTER AIDED INVESTIGATIONS IN DISCRETE MATHEMATICS (Academician Dragoš Cvetković) Investigations in graph theory supported by the programming package newGRAPH are among important activities in this project. It was decided in 2002 to implement a new version of an older system GRAPH using recently available programming tools. The new system got the name newGRAPH and its implementation started in 2003 with the use of programming language JAVA. D. Stevanović and V. Brankov have completed a working version of the system. An introductory paper [1], presented at a conference in 2003, appeared only in 2004. Combinatorial optimization, a long term area of investigation within this project, was present in 2004 by an interdisciplinary study [2]. It is known that graph invariants, which contain a great quantity of information on graph structure (for example, spectral invariants), are obtained by solving some extremal problems on graphs. Recently, such highly informative graph invariants are applied in solving optimization problems on graphs (e.g., the travelling salesman problem - TSP).

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Using these paradigms, several relations, interconnections and interactions between graph theory and mathematical programming are described the study [2]. A model of TSP based on semidefinite programming and algebraic connectivity of graphs is described. A class of relaxations of this TSP model is defined and some solution techniques based on this class are proposed. Several examples of graph invariants defined by some kind of optimization tasks are also presented. Using several spectrally based graph invariants the graph isomorphism problem is treated. A strategy for the parallelization of the variable neighborhood search heuristics to solve multiprocessor sheduling problem with communications delays is presented in [3]. The main goal is to speed up the executions by engaging several processors. It is possible to improve the quality of the solution by spreading up the search towards the different regions of the solution space. 1. Stevanovic D., Brankov V., 2003: An invitation to newGRAPH. Rendiconti Sem. Math. Messina, Ser. II, 9, No. 25, 211- 216. 2. Cvetkovic D., Cangalovic M., Kovacevic-Vujcic V., 2004: Optimization and highly informative graph invariants, Two topics in Mathematics, Edit. B. Stankovic, Zbornik radova 10 (18), Matematički institut SANU, Beograd, 5-39. 3. Davidovic T., Crainic T.G., 2004: A strategy for parallelization of VNS for multiprocessor scheduling problem. SYM-OP-IS 2004, XXXI Symposium on Operations Research, Iriški Venac, Fruška Gora, 14-17.9. 2004, 221-224.

Project: ASYMPTOTIC FORMULAS IN ANALYTIC NUMBER THEORY (Academician Aleksandar Ivić) The main field of research in 2004 was on the Riemann zeta-function ζ(s), Hecke series, Dirichlet series and problems with arithmetic functions related to the zeta-function. Several analytic methods were used, such as contemporary integral transforms, complex integration, methods of the spectral theory of the non-Euclidean Laplacian, as well as some elementary techniques. In [1] estimates and a discussion concerning the sum of squares of |ζ(½ + iγ)| are given, where γ denotes imaginary parts of the zeros of ζ(s). The work [2] belongs to the spectral theory of the non-Euclidean Laplacian, and the theory of the Riemann zeta-function. An asymptotic evaluation of the sum ∑к ј £ Т αј Н ј (½) is given, in the standard notation of the theory in question, which is important because of the significance of the central value Hj(1/2) in the theory of ζ(s). In [3] the author gives asymptotic formulas for several classes of arithmetic fucntions connected to a special integral convolution.

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Paper [4] contains an estimate for the integral of Hardy’s function Z(t) = χ(½ + it) ζ(½ + it), where χ(s) is the function appearing in the functional equation -½

ζ(s) = χ(s)ζ(1-s). The paper [5] furnishes several new identities involving integrals containing

ζ(½ + it).

Paper [6] gives the conditions under which ò Т0 |ζ(½ + it)|4| ζ(σ + it)|2 dt