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2007

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Articles 6241 - 6270 of 6763

Full-Text Articles in Physical Sciences and Mathematics

Good Things Come In Small Packages: Tiny Plankton Producing Oxygen Near Dead Zone, Abbie Basile Jan 2007

Good Things Come In Small Packages: Tiny Plankton Producing Oxygen Near Dead Zone, Abbie Basile

Libraries Faculty & Staff Publications

(First paragraph) For many, the words “Lake Erie” bring to mind large things: big sport fish, sprawling waterfront homes, and an enormous body of water bordering four states and two countries. Similarly, much of the Lake Erie research of which the public is aware deals with larger biological organisms—larger algae and zooplankton, the small fish that eat the zooplankton, and the large fish that feed on those smaller fish. Over the years, the smaller lake life have been somewhat overlooked.


Simulations Of Phytoplankton Species And Carbon Production In The Equatorial Pacific Ocean 1. Model Configuration And Ecosystem Dynamics, Baris Salihoglu, Eileen E. Hofmann Jan 2007

Simulations Of Phytoplankton Species And Carbon Production In The Equatorial Pacific Ocean 1. Model Configuration And Ecosystem Dynamics, Baris Salihoglu, Eileen E. Hofmann

OES Faculty Publications

The primary objective of this research is to investigate phytoplankton community response to variations in physical forcing and biological processes in the Cold Tongue region of the equatorial Pacific Ocean at 0N, 140W. This research objective was addressed using a one-dimensional multicomponent lower trophic level ecosystem model that includes detailed algal physiology, such as spectrally-dependent photosynthetic processes and iron limitation on algal growth. The ecosystem model is forced by a one-year (1992) time series of spectrally-dependent light, temperature, and water column mixing obtained from a Tropical Atmosphere-Ocean (TAO) Array mooring. Autotrophic growth is represented by five algal groups, which have …


Co2 Control Of Trichodesmium N-2 Fixation, Photosynthesis, Growth Rates, And Elemental Ratios: Implications For Past, Present, And Future Ocean Biogeochemistry, D. A. Hutchins, F.-X. Fu, Y. Zhang, M. E. Warner, Y. Feng, K. Portune, P. W. Bernhardt, M. R. Mulholland Jan 2007

Co2 Control Of Trichodesmium N-2 Fixation, Photosynthesis, Growth Rates, And Elemental Ratios: Implications For Past, Present, And Future Ocean Biogeochemistry, D. A. Hutchins, F.-X. Fu, Y. Zhang, M. E. Warner, Y. Feng, K. Portune, P. W. Bernhardt, M. R. Mulholland

OES Faculty Publications

Diazotrophic marine cyanobacteria in the genus Trichodesmium contribute a large fraction of the new nitrogen entering the oligotrophic oceans, but little is known about how they respond to shifts in global change variables such as carbon dioxide (CO2) and temperature. We compared Trichodesmium dinitrogen (N2) and CO2 fixation rates during steady-state growth under past, current, and future CO2 scenarios, and at two relevant temperatures. At projected CO2 levels of year 2100 (76 Pa, 750 ppm), N2 fixation rates of Pacific and Atlantic isolates increased 35-100%, and CO2 fixation rates increased 15-128% …


An Epidemiological Model Of Rift Valley Fever, Holly D. Gaff, David M. Hartley, Nicole P. Leahy Jan 2007

An Epidemiological Model Of Rift Valley Fever, Holly D. Gaff, David M. Hartley, Nicole P. Leahy

Biological Sciences Faculty Publications

We present and explore a novel mathematical model of the epidemiology of Rift Valley Fever (RVF). RVF is an Old World, mosquito-borne disease affecting both livestock and humans. The model is an ordinary differential equation model for two populations of mosquito species, those that can transmit vertically and those that cannot, and for one livestock population. We analyze the model to find the stability of the disease-free equlibrium and test which model parameters affect this stability most significantly. This model is the basis for future research into the predication of future outbreaks in the Old World and the assessment of …


Eddy Correlation Measurements Of The Air/Sea Flux Of Dimethylsulfide Over The North Pacific Ocean, Christa A. Marandino, Warren J. De Bruyn, Scott D. Miller, Eric S. Saltzman Jan 2007

Eddy Correlation Measurements Of The Air/Sea Flux Of Dimethylsulfide Over The North Pacific Ocean, Christa A. Marandino, Warren J. De Bruyn, Scott D. Miller, Eric S. Saltzman

Biology, Chemistry, and Environmental Sciences Faculty Articles and Research

Shipboard measurements of air/sea fluxes and sea surface concentrations of dimethylsulfide (DMS) were made over the tropical and midlatitude North Pacific Ocean. Atmospheric pressure chemical ionization mass spectrometry was used to measure DMS levels in ambient air and in air equilibrated with surface seawater drawn from a depth of 5 m. Air/sea fluxes were obtained using eddy covariance. Corrections and uncertainties involved in the calculation of fluxes from shipboard data are discussed. The surface ocean DMS concentrations measured during this study ranged from 1 to 10 nM, and atmospheric mixing ratios ranged from 20 to 1000 ppt. Air/sea fluxes ranged …


On The Kauffman Bracket Skein Module Of The Quaternionic Manifold, Patrick M. Gilmer, John M. Harris Jan 2007

On The Kauffman Bracket Skein Module Of The Quaternionic Manifold, Patrick M. Gilmer, John M. Harris

Faculty Publications

We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over Z[A(+/- 1)] localized by inverting all the cyclotomic polynomials. We prove that the skein module is spanned by five elements. Using the quantum invariants of these skein elements and the Z(2)-homology of the manifold, we determine that they are linearly independent.


Threshold Meson Production And Cosmic Ray Transport, John W. Norbury, Lawrence W. Townsend, Ryan B. Norman Jan 2007

Threshold Meson Production And Cosmic Ray Transport, John W. Norbury, Lawrence W. Townsend, Ryan B. Norman

Faculty Publications

An interesting accident of nature is that the peak of the cosmic ray spectrum, for both protons and heavier nuclei, occurs near the pion production threshold. The Boltzmann transport equation contains a term which is the cosmic ray flux multiplied by the cross section. Therefore when considering pion and kaon production from proton - proton reactions, small cross sections at low energy can be as important as larger cross sections at higher energy. This is also true for subthreshold kaon production in nuclear collisions, but not for subthreshold pion production.


Differential Cross Sections For Electromagnetic Dissociation, John W. Norbury, Anne Adamczyk Jan 2007

Differential Cross Sections For Electromagnetic Dissociation, John W. Norbury, Anne Adamczyk

Faculty Publications

Differential cross; sections for electromagnetic dissociation in nucleus-nucleus collisions are calculated. The kinetic energy distributions is parameterized with a Boltzmann distribution and the angular distribution is assumed isotropic in the projectile frame. In order to be useful for three-dimensional transport codes, these cross sections are available in both the projectile and lab frames. Comparison between theory and experiment is good. The formalism applies to single and multiple nucleon removal, a particle removal, and fission in electromagnetic reactions of nuclei. (c) 2006 Elsevier B.V. All rights reserved.


Parameterized Total Cross Sections For Pion Production In Nuclear Collisions, John W. Norbury, Lawrence W. Townsend Jan 2007

Parameterized Total Cross Sections For Pion Production In Nuclear Collisions, John W. Norbury, Lawrence W. Townsend

Faculty Publications

Total inclusive cross sections for neutral and charged pion production in proton–nucleus and nucleus–nucleus reactions have been calculated and compared to experiment. Nucleon–nucleon theoretical cross sections have been scaled up to nuclear collisions using a scaling factor similar to (APAT)2/3, where AP and AT are the nucleon numbers of the projectile and target nuclei. Variations in the power of this scaling factor have been studied and a good fit to experiment is obtained with a small modification of the power. Theoretical cross sections are written in a form that is very …


Green´S Function For Particle Of Spin 0 And 1/2 In The Field Of Volkov Plane Wave, N. Chine, Lyazid Chetouani Jan 2007

Green´S Function For Particle Of Spin 0 And 1/2 In The Field Of Volkov Plane Wave, N. Chine, Lyazid Chetouani

Turkish Journal of Physics

The Green´s functions for relativistic particles, with and without spin in interaction with an electromagnetic plane wave, are obtained via Parisi-Wu stochastic quantization method after having solved the corresponding Langevin equation.


Infrared Analysis And Physical Properties Studies Of B_2o_3 · Cao · Zno · Tio_2 Glass System, M. Gabr, Karam Abdel-Ati Ali, Ahmed Gamal El-Din Mostafa Jan 2007

Infrared Analysis And Physical Properties Studies Of B_2o_3 · Cao · Zno · Tio_2 Glass System, M. Gabr, Karam Abdel-Ati Ali, Ahmed Gamal El-Din Mostafa

Turkish Journal of Physics

The glass system having (B_2O_3)_{0.60}(CaO)_{0.25}(ZnO)_{0.15-x} (TiO_2)_x, where x = 0.0, 0.025, 0.05,..., 0.15, was investigated using infrared spectroscopy, differential thermal analysis, density, magnetic susceptibility and dc electrical conductivity. The obtained IR results showed that most titanium ions exist as network former while most zinc ions exist as network modifier but boron ions appeared in different structural groups. As titanium oxide was gradually increased to 10 mol%, the glass stability, density and magnetic susceptibility increased, while the molar volume and dc electrical activation energy decreased. When titanium oxide increased from 10 to 15 mol%, the measured and the calculated properties tend …


Structural, Electrical And Infrared Studies Of Ni_{0.7}Cd_{0.3}Sm_Xfe_{2-X}O_4 Ferrite, M. Z. Said, D. M. Hemeda, S. Abdel Kader, G. Z. Farag Jan 2007

Structural, Electrical And Infrared Studies Of Ni_{0.7}Cd_{0.3}Sm_Xfe_{2-X}O_4 Ferrite, M. Z. Said, D. M. Hemeda, S. Abdel Kader, G. Z. Farag

Turkish Journal of Physics

A series of samples of the system Ni_{0.7}Cd_{0.3}Sm_xFe_{2-x}O_4 (x = 0, 0.01, 0.02, 0.03, 0.04, 0.05 and 0.06) were prepared by the usual ceramic technique. X-ray diffraction, infrared spectroscopy (IR) and electrical properties were studied. The X-ray diffraction pattern confirms the presence of spinel phase structure for the sample without Sm content. For the samples with Sm ions, some diffraction peaks appeared which belongs to the orthorhombic phase structure. The main two absorption bands in IR spectra were observed around 600 cm^{-1} (\upsilon_1), which was attributed to stretching vibration of tetrahedral groups Fe^{3+}-O^{2-}, and that around 400~cm^{-1} (\upsilon _2) was …


Antiferromagnetic Transition In Thermally Evaporated Manganese-Vanadium Alloys, F. Boakye Jan 2007

Antiferromagnetic Transition In Thermally Evaporated Manganese-Vanadium Alloys, F. Boakye

Turkish Journal of Physics

Antiferromagnetic transition in thermally evaporated Mn-V alloys has been studied using resistivity-temperature measurements from 300 to 1.4 K. Resistivity-temperature behaviour typical of bulk \alpha -Mn rich specimen is obtained with 0.05 at % V in Mn. The Néel point is shifted to 86 \pm 1 K from the value of 90 \pm 1 K known for pure \alpha -Mn. The Néel point is shifted further to lower values as the concentration of V in Mn increases. Below the temperature corresponding to the low temperature resistivity minimum, the resistivity obeys a T^2 law, suggesting that vanadium impurities in the manganese film …


The Extreme Ultraviolet Emission Lines Of Some Cataclysmic Variables At Outburst, Romanus N. C. Eze Jan 2007

The Extreme Ultraviolet Emission Lines Of Some Cataclysmic Variables At Outburst, Romanus N. C. Eze

Turkish Journal of Physics

Using spectral technique, analyses of some astrophysical data from the EUVE satellite in the Extreme Ultraviolet region on accretion disk of some cataclysmic variable were carried out. A number of strong emission lines in 14 CVs were discovered. Most CVs follow a similar trend in the number of ionized elements present in their spectrum while some have very few or no ionized elements in their spectrum. The AM Herculis star, which has the weakest magnetic field of all seven magnetic CVs studied, contain no ionized elements in its EUVE spectroscopy. However, for the rest of the CVs, there is sufficient …


Unsteady Mhd Flow Due To Eccentric Rotating Disks For Suction And Blowing, Muhammad R. Mohyuddin Jan 2007

Unsteady Mhd Flow Due To Eccentric Rotating Disks For Suction And Blowing, Muhammad R. Mohyuddin

Turkish Journal of Physics

An exact solution of unsteady flow of a viscous fluid due to a sudden pull with constant velocities of non-coaxial rotations between two porous infinite disks in the presence of uniform transpose magnetic field is investigated. Two different methods are used to obtain the solution at large times and the solution at small times. The effects of magnetic field suction and injection on the velocity distributions are presented.


Dynamics Of Stochastic Systems: Effect On Spectral Line Shapes, A. Benotsmane, Ahmed Ahmadouche Jan 2007

Dynamics Of Stochastic Systems: Effect On Spectral Line Shapes, A. Benotsmane, Ahmed Ahmadouche

Turkish Journal of Physics

We present a theoretical approach to describe the dynamics of a system induced by stochastic couplings and undergoing dephasing processes. We consider a model frequently encountered in the study of non-radiative transitions in molecular systems, the case of two configurations stochastically coupled. In this model, we use a system whose excited radiant state is coupled stochastically to a non-radiant state of a lower electronic configuration. We show the line shape for stochastic non-diagonal perturbations to remain Lorentzian. This result is different from the case of frequency modulation where a transition from a Gaussian to a Lorentzian line shape can be …


Effects Of The Left-Right Asymmetry Parameter In The End Point Of The Tritium-Beta Spectrum, A. Gutierrez-Rodriguez, M. A. Hernandez-Ruiz, F. Ramirez-Sanchez Jan 2007

Effects Of The Left-Right Asymmetry Parameter In The End Point Of The Tritium-Beta Spectrum, A. Gutierrez-Rodriguez, M. A. Hernandez-Ruiz, F. Ramirez-Sanchez

Turkish Journal of Physics

We start with a Left-Right Symmetric Model and we analyze the endpoint of the beta decay of tritium ^3H \rightarrow ^3He + e- + bar{\nu}_e. We applied this model to incorporate the right currents, whereby we propose an amplitude whose leptonic part contains the parameter \lambda defined as a left-right asymmetry parameter which measures the parity violation. We realized a numerical computation for the sensibility of the Mainz and Troitsk experiments for m_{\nu_e}= 2.2 eV; and for the future beta decay experiment KATRIN, which will reach a sensitivity of m_{\nu_e} \approx 0.2 eV. We find that the electron energy spectrum …


Algebraic Treatment Of Scattering Via The Manning-Rosen Potential Related To The So(2, 1) Group, Nurşen Seçki̇n Görgün, Fi̇kret Işik Jan 2007

Algebraic Treatment Of Scattering Via The Manning-Rosen Potential Related To The So(2, 1) Group, Nurşen Seçki̇n Görgün, Fi̇kret Işik

Turkish Journal of Physics

In this study, we consider SO(2,1) \supset SO(1,1) subgroup reduction from one dimensional scattering systems related to SO(2,1). As an analytical application, we show via algebraic approach the Manning-Rosen potential belongs to the class of potentials corresponding to the reduction SO(2,1) \supset SO(1,1). The wave function and the scattering matrix of the system with this potential were determined.


Time Dependent Entropy Of Constant Force Motion, Özgür Özcan, Ethem Aktürk, Ramazan Sever Jan 2007

Time Dependent Entropy Of Constant Force Motion, Özgür Özcan, Ethem Aktürk, Ramazan Sever

Turkish Journal of Physics

Time dependent entropy of constant force motion is investigated. Obtained is the joint entropy, also known as the Leipnik entropy. The main purpose of this work is to calculate the Leipnik entropy via a time dependent wave function which is obtained by the Feynman path integral method. For this case it is found the Leipnik entropy increases with time, and is the same behavior as in the free particle case.


Application Of Pma Towards Moderating The Charge Storage Capability Of Mis Memory Cell Based On Pecvd Deposited Silicon Nitride Thin Films, Satinder K. Sharma, B. Prasad, Dinesh Kumar Jan 2007

Application Of Pma Towards Moderating The Charge Storage Capability Of Mis Memory Cell Based On Pecvd Deposited Silicon Nitride Thin Films, Satinder K. Sharma, B. Prasad, Dinesh Kumar

Turkish Journal of Physics

A memory capacitor formed from Al/Si_3N_4/Si was prepared by means of trapping and de trapping mechanism of the dielectric films. Charge trapping and interface state characteristics of silicon nitride (Si_3N_4) films deposited by standard plasma enhanced chemical vapor deposition technique were investigated. High frequency capacitance-voltage (C-V), conductance-voltage (G-V) and current voltage (I-V) measurements were carried out at various temperatures on metal-oxide-semiconductor capacitors, for as-deposited samples, post metallization annealed (PMA) at 400 °C and 600 °C samples. The electrically measured characteristics indicate the shift in flat band voltage V_FB in silicon nitride (Si_3N_4) was initially much higher in the as-deposited samples. …


The Origin Of X-Ray Emission Lines From Ss Cgy, Romanus N. C. Eze Jan 2007

The Origin Of X-Ray Emission Lines From Ss Cgy, Romanus N. C. Eze

Turkish Journal of Physics

SS Cyg is a dwarf nova binary star that undergoes frequent large amplitude outburst within a period of 40 days. SS Cyg was observed with the Chandra x-ray telescope in quiescence on 2000 August 24, and near the peak and early decline of a narrow outburst on 2000 September 12 and 14 (exposures of 47 and 96 ks). The spectrum of the source shows strong emission lines of O VII and O VIII in all three observations. These lines, we note, originate from the boundary layer.


Study Of Vickers´ Micro Hardness On Inbi_0.85sb_0.15 Single Crystals, Dimple Shah, G. R. Pandya, S. M. Vyas, M. P. Jani Jan 2007

Study Of Vickers´ Micro Hardness On Inbi_0.85sb_0.15 Single Crystals, Dimple Shah, G. R. Pandya, S. M. Vyas, M. P. Jani

Turkish Journal of Physics

InBi_0.85Sb_0.15 single crystals have been grown by zone-melting method. The growth velocity was 0.8 cm/h and the freezing interface temperature was 35 °C/cm. A Vickers' projection microscope was used for the study of micro hardness of the crystals. Hardness tests were carried out on the as-cleaved, cold-worked and annealed surfaces of the crystals. The effect of perfection of crystals on micro hardness with respect to the cold-worked, as-cleaved and annealed crystals have been studied and the results are reported.


Preparation And Study Of The Structural, Optical And Electrical Properties Of Cu(In,Ga)Se_2 Thin Films, Athar Javed Jan 2007

Preparation And Study Of The Structural, Optical And Electrical Properties Of Cu(In,Ga)Se_2 Thin Films, Athar Javed

Turkish Journal of Physics

Thin film samples of Cu(In,Ga)Se_2 (CIGS) were prepared at room temperature by physical vapor deposition (PVD) technique using resistive heating method onto soda lime glass substrates. Deposition conditions were same for all the samples. The prepared samples were annealed in vacuum at temperature of 200 °C for 5, 10, 15, 30 and 60 minutes and were characterized structurally, optically and electrically. The structural analysis indicate the partial formation of quaternary CIGS compounds for the samples which were annealed in vacuum at 200 °C for 30 and 60 minutes. XRD analysis indicate that there is a continuous growth and improvement in …


Silver Mode For Heavy Higgs Search In The Presence Of A Fourth Sm Family, Saleh Sultansoy, Gökhan Ünel Jan 2007

Silver Mode For Heavy Higgs Search In The Presence Of A Fourth Sm Family, Saleh Sultansoy, Gökhan Ünel

Turkish Journal of Physics

We investigate the possible enhancement to the discovery of the heavy Higgs boson through the possible fourth standard model family heavy neutrino. Using the channel h\to\nu_4\bar{\nu}_4 \to \mu W\mu W \to \mu j j\mu j j it is found that for certain ranges of the Higgs boson and \nu_4 masses, LHC could discover both of them simultaneously with 1fb^{-1} integrated luminosity.


Five Dimensional Anisotropic Homogeneous Cosmological Models In Second Self Creation Theory Of Gravitation, Ganeshwar Mohanty, Kamal Lochan Mahanta Jan 2007

Five Dimensional Anisotropic Homogeneous Cosmological Models In Second Self Creation Theory Of Gravitation, Ganeshwar Mohanty, Kamal Lochan Mahanta

Turkish Journal of Physics

Five dimensional homogeneous anisotropic cosmological models in Barber's second self creation theory are constructed when the gravitational field is generated by a perfect fluid. Under the power law dependence of the scale factors, the perfect fluid models degenerate Zeldovich fluid models. The physical and geometrical features of these models are discussed.


On The Eigensolutions Of The One-Dimensional Kemmer Oscillator, A. Boumali Jan 2007

On The Eigensolutions Of The One-Dimensional Kemmer Oscillator, A. Boumali

Turkish Journal of Physics

In the present paper, we solve the one-dimensional Kemmer equation in the presence of the Dirac oscillator potential. Following Greiner in [23], we have shown that the eigensolutions are decoupled in two sets.


An Investigation Of The Effects Of Hydrogen On Local Strain Fields And Structural Disorder-To-Order Transition In Hydrogenated Amorphous Silicon, Aniekan Magnus Ukpong Jan 2007

An Investigation Of The Effects Of Hydrogen On Local Strain Fields And Structural Disorder-To-Order Transition In Hydrogenated Amorphous Silicon, Aniekan Magnus Ukpong

Turkish Journal of Physics

This study utilizes the fluctuations in the mean silicon-silicon near neighbour distances and local atomic-level stresses to study the chemically-induced disorder-to-order transition in hydrogenated amorphous silicon as a function of hydrogen concentration C_H. The correlation between a suitable stress and structure parameter shows a three-stage structure transition that culminates in the formation of a crystalline phase at high C_H. In the low C_H limit, the structural changes are characterized by a linear response to stress giving a rigidity modulus of 73.43+-15 GPa. In the intermediate and high C_H limits, the stress-structure correlation shows a volume-dependence. At very high hydrogen concentrations, …


Optical Properties And Determination Of Thermal Transformation Parameters For Se_{0.65}Te_{0.35} High Reflectance Thin Films, Ayman Ahmed El-Amin, Aly Mohammed Badr, Foaud Abdel-Wahaab Jan 2007

Optical Properties And Determination Of Thermal Transformation Parameters For Se_{0.65}Te_{0.35} High Reflectance Thin Films, Ayman Ahmed El-Amin, Aly Mohammed Badr, Foaud Abdel-Wahaab

Turkish Journal of Physics

Chalcogenide glasses Se-Te have been prepared from the high purity constituent elements. Thin films of these materials have been deposited by vacuum evaporation. The thickness effects on the optical properties have been performed for the as-deposited films. The impact of varying thickness on the value of the optical gap is also reported and discussed. The resultant films were in amorphous nature. The reflectance and transmittance spectra were measured for the mentioned films and analyzed in the incident photon energy range from 1.16 to 2.47 eV. The refractive indices were determined as a function of wavelength via the transmittance analysis in …


Electrical Resistivity Of Liquid Alkali Na-Based Binary Alloys, Aditya M. Vora Jan 2007

Electrical Resistivity Of Liquid Alkali Na-Based Binary Alloys, Aditya M. Vora

Turkish Journal of Physics

The study of the electrical resistivity \rho_L of alkali Na-based binary alloys Na_{1-x}Li_x, Na_{1-x}K_x, Na_{1-x}Rb_x and Na_{1-x}Cs_x have been made by well-recognized model potential of Gajjar et al. The most recent exchange and correlation functions due to Farid et al (F) and Sarkar et al (S) are used for the first time in the study of electrical resistivity of liquid binary mixtures and found suitable for such study. The results, due to the inclusion of Sarkar et al's local field correction function, are found superior to those obtained due to Farid et al's local field correction function. Electrical resistivity of …


2d Maxy--Jres Nmr Spectroscopy Of Ch_Nch_M (Ca_Ncx_M) Groups: Product Operator Theory And Simulation, İrfan Şaka, Sedat Gümüş, Azmi̇ Gençten Jan 2007

2d Maxy--Jres Nmr Spectroscopy Of Ch_Nch_M (Ca_Ncx_M) Groups: Product Operator Theory And Simulation, İrfan Şaka, Sedat Gümüş, Azmi̇ Gençten

Turkish Journal of Physics

There exist a variety of multi-pulse NMR experiments for spectral editing of complex molecules in solution. Maximum quantum correlation NMR spectroscopy (MAXY NMR) is one of the techniques for distinguishing CH_n groups by editing ^1H NMR spectra. Spectral assignments of 2D homonuclear J-resolved NMR spectroscopy become too difficult, due to complex overlapping spectra. In order to overcome this problem a new technique called 2D MAXY-JRES NMR spectroscopy, which is the combination of MAXY NMR and homonuclear J-resolved NMR spectroscopy techniques, is used. In this study, product operator theory of 2D MAXY-JRES NMR spectroscopy is performed for IS_n I'S'_m (I = …