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Chi.ese Physi.s B 2012年第9期21卷 176-178页

作者： i. i. guseinov Department of Physi.s Faculty of Arts and Sciences Onsekiz Mart University

Si.pler formulas are deri.ed for one-range addi.i.n theorems for the i.teger and noni.teger n generali.ed ex- ponenti.l type orbi.als, momentum space orbi.als, and hyperspheri.al harmoni.s wi.h hyperboli. cosi.e （GETO HC, GMSO HC, and GHSH HC） i. posi.i.n, momentum and four-di.ensi.nal spaces, respecti.ely. The fi.al results are expressed i. terms of one-range addi.i.n theorems of complete orthonormal sets of Ca-exponenti.l type orbi.als, Ca- momentum space orbi.als and za-hyperspheri.al harmoni.s. We noti.e that the one-range addi.i.n theorems for i.teger and noni.teger n-Slater type orbi.als and Gaussi.n type orbi.als i. posi.i.n, momentum and four di.ensi.nal spaces are speci.l cases of GETO HC, GMSO HC, and GHSH HC. The theorems presented can be useful i. the accurate study of the electroni. structure of atomi. and molecular systems.

关键词： electroni. structure generali.ed exponenti.l type orbi.als one-range addi.i.n theorems,Hartree-Fock-Roothaan equati.ns

One-Range Addi.i.n Theorems i. Terms of ψ^α -ETOs for STOs and Coulomb-Yukawa Li.e Correlated i.teracti.n Potenti.ls of i.teger and Noni.teger i.di.es

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Chi.ese Physi.s Letters 2008年第12期25卷 4240-4243页

作者： i. i. guseinov Department of Physi.s Faculty of Arts and Sciences Onsekiz Mart University Canakkale Turkey

The expansi.n formulas i. terms of complete orthonormal sets of ψ^α -exponenti.l type orbi.als are establi.hed for the Slater type orbi.als and Coulomb-Yukawa-li.e correlated i.teracti.n potenti.ls of i.teger and noni.teger i.di.es. These relati.ns are used i. obtai.i.g thei. unsymmetri.al and symmetri.al one-range addi.i.n theorems. The fi.al results are especi.lly useful i. the calculati.ns of multi.entre multi.lectron i.tegrals occurri.g when Hartree-Fock-Roothaan and expli.i.ly correlated methods are employed.

关键词： orthonormal set expansi.n formula

Constructi.n of Di.ferent Ki.ds of Atomi. and Molecular Orbi.als Usi.g Complete Orthonormal Sets of ψ^α-ETO i. Si.gle Exponent Approxi.ati.n

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Chi.ese Physi.s Letters 2008年第7期25卷 2444-2447页

作者： guseinov i. i.rafi. Ertfi.k Murat Department of Physi.s Faculty of Arts and Sciences Onsekiz Mart University ~anakkale Turkey

Usi.g complete orthonormal sets of ψ^α-exponenti.l type orbi.als i. si.gle exponent approxi.ati.n the new approach has been suggested for constructi.n of di.ferent ki.ds of functi.ns whi.h can be useful i. the theory of li.ear combi.ati.n of atomi. orbi.als. These functi.ns can be chosen properly accordi.g to the nature of the problems under consi.erati.n. Thi. i. rather i.portant because the choi.e of the basi. set may be play a cruci.l role i. appli.ati.ns to atomi. and molecular problems. As an example of appli.ati.n, di.ferent atomi. orbi.als for the ground states of the neutral and the fi.st ten cati.ni. members of the i.oelectroni. seri.s of He atom are constructed by the soluti.n of Hartree-Fock-Roothaan equati.ns usi.g ψ^1, ψ^0 and ψ^-1 basi. sets. The cMculated results are close to the numeri.al Hartree-Fock values. The total energy, expansi.n coeffi.i.nts, orbi.al exponents and vi.i.l rati. for each atom are presented.

关键词： the power-law exponents preci.i.ati.n durati.e abrupt preci.i.ati.n change

Ground State Energy Calculati.ns of i.oelectroni. Seri.s of He i. Double-Zeta Approxi.ati.n Usi.g Coulomb Potenti.l wi.h Noni.teger i.di.es

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Chi.ese Physi.s Letters 2008年第3期25卷 896-898页

作者： guseinov i. i.rafi. AKSU Hüseyi. Department of Physi.s Faculty of Arts and Sciences Onsekiz Mart University Canakkale Turkey

Usi.g formulae for one- and two-electron i.tegrals of Coulomb i.teracti.n potenti.l fk （r） = r^-k wi.h non-i.teger i.di.es k establi.hed by one of the authors wi.h the help of complete orthonormal sets of ψ^α-exponenti.l-type orbi.als （α = 1, 0,-1,-2,…）, we perform the calculati.ns for i.oelectroni. seri.s of the He atom contai.i.g nuclear charges from 2 to 10, where k = 1 - μ （-1 〈 μ 〈 0）. For thi. purpose we have used the double-zeta approxi.ati.n, the confi.urati.n i.teracti.n and coupled-cluster methods employi.g the i.teger-n Slater-type orbi.als as basi. sets. i. i. demonstrated that the results of calculati.ns obtai.ed are better than the numeri.al Hartree-Fock values.

关键词： SLATER-TYPE ORBi.ALS MULTi.ENTER i.TEGRALS ONE-ELECTRON OPEN-SHELLS SYSTEMS i.TEGER ATOMS

Arcti. sea-i.e extent: No record mi.i.um i. 2023 or recent years

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Atmospheri. and Oceani. Sci.nce Letters 2025年第1期18卷 52-55页

作者： Ola M.Johannessen Tor i.Olaussen Nansen Sci.nti.i. Soci.ty BergenNorway Nansen Envi.onmental and Remote Sensi.g Center BergenNorway

Arcti. sea-i.e extent reaches i.s mi.i.um each year i. September. On 11 September 2023 the mi.i.um was 4.969 mi.li.n square ki.ometers(***^(2)). Thi. was not a record low, whi.h occurred i. 2012, when the mi.i.um was 4.175 ***^(2), 0.794 ***^(2) less than the mi.i.um i. 2023. However, the i.e extent had decreased by 0.432 ***^(2) compared wi.h 2022. Nevertheless, the summer melti.g i. 2023 was remarkably less than expected when consi.eri.g the strong heat waves i. the atmosphere and ocean, wi.h record temperatures set around the world. i. general, there i. a hi.h correlati.n between the long-term decrease i. sea-i.e extent and the i.creasi.g CO_(2) i. the atmosphere, where the i.crease of CO_(2) i. recent decades explai.s about 80% of the decrease i. sea i.e i. September, whi.e the remai.der i. caused by natural vari.bi.i.y.

关键词： Sea i.e Arcti. Mi.i.um i.e Cli.ate

One-range addi.i.n theorems for generali.ed i.teger and noni.teger μ Coulomb,and exponenti.l type correlated i.teracti.n potenti.ls wi.h hyperboli. cosi.e i. posi.i.n,momentum,and four-di.ensi.nal spaces

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Chi.ese Physi.s B 2012年第6期21卷 137-140页

作者： i.i.guseinov Department of Physi.s Faculty of Arts and SciencesOnsekiz Mart UniversityCanakkaleTurkey

The formulae are establi.hed i. posi.i.n,momentum,and four-di.ensi.nal spaces for the one-range addi.i.n theorems of generali.ed i.teger and noni.teger μ Coulomb,and exponenti.l type correlated i.teracti.n potenti.ls wi.h hyperboli. cosi.e（GCTCP and GETCP HC）.These formulae are expressed i. terms of one-range addi.i.n theorems of complete orthonormal sets of Ψα-exponenti.l type orbi.als（Ψ α-ETO）,α-momentum space orbi.als（α-MSO）,and zα-hyperspheri.al harmoni.s（zα-HSH） *** one-range addi.i.n theorems obtai.ed can be useful i. the electroni. structure calculati.ns of atoms and molecules when the GCTCP and GETCP HC i. posi.i.n,momentum,and four-di.ensi.nal spaces are employed.

关键词： correlated i.teracti.n potenti.ls one-range addi.i.nal theorems complete orthonormalsets of orbi.als overlap i.tegrals

Uni.i.d treatment for accurate and fast evaluati.n of the Fermi.Di.ac functi.ns

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Chi.ese Physi.s B 2010年第5期19卷 72-77页

作者： i.i.guseinov B.A.Mamedov Department of Physi.s Faculty of Arts and SciencesOnsekiz Mart UniversityCanakkaleTurkey Department of Physi.s Faculty of Arts and SciencesGaziosmanpa sa UniversityTokatTurkey

A new analyti.al approach to the computati.n of the Fermi.Di.ac （FD） functi.ns i. presented, whi.h was suggested by previ.us experi.nce wi.h vari.us algori.hms. Usi.g the bi.omi.l expansi.n theorem these functi.ns are expressed through the bi.omi.l coeffi.i.nts and fami.i.r i.complete Gamma functi.ns. Thi. si.pli.i.ati.n and the use of the memory of the computer for the calculati.n of bi.omi.l coeffi.i.nts may extend the li.i.s to large arguments for users and result i. speedi.r calculati.n, should such li.i.s be requi.ed i. practi.e. Some numeri.al results are presented for si.ni.i.ant mappi.g examples and they are bri.fly di.cussed.

关键词： stati.ti.al semi.onductors plasma physi.s nuclear physi.s

Test measurements for accuracy of absolute and relati.e GPS posi.i.ni.g

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中国有色金属学会会刊：英文版 2005年第S1期15卷 299-303页

作者： i. Havasi Uni.ersi.y of Mi.kolc Hungary

The paper, after the i.troducti.n, bri.fly outli.es the pri.ci.les of both absolute and relati.e GPS posi.i.ni.g. i. deals wi.h factors and error resources affecti.g the accuracy of these surveyi.g procedures. i. revi.ws the geodeti. determi.ati.n of a reference poi.t and a base li.e used for the test measurements. The study descri.es the completed test measurements, and on the basi. of results, i. draws the conclusi.ns for the accuracy of the i.vesti.ated surveyi.g methods. Fi.ally, consi.eri.g these accuracy measures, thei. possi.le appli.ati.n i. mi.e surveyi.g i. also menti.ned very shortly.

关键词： GPS surveyi.g methods factors and errors test measurements accuracy

Vi.cous Dark Energy Models wi.h Vari.ble G and A

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Chi.ese Physi.s Letters 2008年第10期25卷 3834-3836页

作者： Arbab i. Arbab Department of Physi.s Faculty of Science University of Khartoum PO Box 321 Khartoum 11115 SudanDepartment of Physics and Applied Mathematics Faculty of Applied Sciences and Computer Omdurman Ahlia University PO Box 7S6 Omdurman Sudan

We consi.er a cosmologi.al model wi.h bulk vi.cosi.y η and vari.ble cosmologi.al A ∝p^-α, alpha = const and gravi.ati.nal G constants. The model exhi.i.s many i.teresti.g cosmologi.al features. i.flati.n proceeds du to the presence of bulk vi.cosi.y and dark energy wi.hout requi.i.g the equati.n of state p =-p. Duri.g the i.flati.nary era the energy densi.y p does not remai. constant, as i. the de-Si.ter type. Moreover, the cosmologi.al and gravi.ati.nal constants i.crease exponenti.lly wi.h ti.e, whereas the energy densi.y and vi.cosi.y decrease exponenti.lly wi.h ti.e. The rate of mass creati.n duri.g i.flati.n i. found to be very huge suggesti.g that all matter i. the uni.erse i. created duri.g i.flati.n.

关键词： the power-law exponents preci.i.ati.n durati.e abrupt preci.i.ati.n change

Hardness of Mn_2V_2O_7 thi. fi.ms and i.s i.fluenti.l factors

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i.ternati.nal Journal of Mi.erals,Metallurgy and Materi.ls 2015年第9期22卷 987-991页

作者： i. Aft i. Kari.er Department of Sci.nce Educati.n Faculty of Education Erciyes University Kayseri 38039 Turkey

Mn2V2O7 thi. fi.ms were deposi.ed onto amorphous glass substrates usi.g a chemi.al bath deposi.i.n method and di.ferent deposi.i.n ti.e. X-ray di.fracti.n （XRD） analysi. was used to defi.e the structure of the fi.ms. Thei. roughness, thi.kness, and surface properti.s were evaluated through atomi. force mi.roscopy （AFM）. The hardness of the fi.ms was measured usi.g a nanohardness tester The fi.m thi.kness, average grai. si.e, and roughness were posi.i.ely correlated wi.h each other. These three parameters were observed to i.crease wi.h the deposi.i.n ti.e. The fi.m thi.kness and average grai. si.e were i.versely correlated wi.h the hardness and rough- ness. i. addi.i.n, the number of crystalli.es per uni. area and the di.locati.n densi.y were observed to be posi.i.ely correlated wi.h the hardness and roughness. Thi. study was desi.ned to eluci.ate and formali.e the underlyi.g reasons for these relati.nshi.s.

关键词： manganese vanadate thi. fi.ms nanohardness i.fluenci.g factors