Electron paramagnetic resonance: Nonlinear least-squares fitting of the Hamiltonian parameters from powder spectra with the Levenberg-Marquardt algorithm

2005 ◽  
Vol 29 (2) ◽  
pp. 401-416 ◽  
Author(s):  
E. J. Soulié ◽  
T. Berclaz
Keyword(s):  
Electron Paramagnetic Resonance ◽  
Least Squares ◽  
Nonlinear Least Squares ◽  
Paramagnetic Resonance ◽  
Least Squares Fitting ◽  
Marquardt Algorithm ◽  
Levenberg Marquardt ◽  
Hamiltonian Parameters ◽  
Electron Paramagnetic

Determining Extrinsic Parameters for Active Stereovision

2009 ◽  
Vol 13 (2) ◽  
pp. 76-79 ◽  
Author(s):  
Huawei Wang ◽  
◽  
De Xu
Keyword(s):  
Least Squares ◽  
Rotational Axis ◽  
The Novel ◽  
Mapping Model ◽  
Least Squares Fitting ◽  
Marquardt Algorithm ◽  
Levenberg Marquardt ◽  
Extrinsic Parameters ◽  
Novel Method ◽  
The Relationship

In the novel method we propose for determining extrinsic parameters for active stereovision, we first map the relationship between rotational and yaw angles based on least squares fitting, then optimize the rotational axis between two cameras using the Levenberg-Marquardt algorithm. Extrinsic parameters are then easily derived for active stereovision based on the mapping model without complex recalibration. The results of experiments confirmed our proposed method's feasibility.

Epr of Mn2+ in Ni(CH3COO)2 4H2O and K2 Ni(SO4)2 6H2O

1980 ◽  
Vol 3 ◽  
Author(s):  
Sushil K. Misra ◽  
M. Jalochowski
Keyword(s):  
Electron Paramagnetic Resonance ◽  
Magnetic Properties ◽  
Transition Temperature ◽  
Single Crystals ◽  
Liquid Helium ◽  
Liquid Nitrogen ◽  
Spin Hamiltonian ◽  
Paramagnetic Resonance ◽  
Hamiltonian Parameters ◽  
Electron Paramagnetic

ABSTRACTThe technique of electron paramagnetic resonance has been applied to study the magnetic properties of nickel acetate and nickel potassium tutton salt single crystals, using Mn2+ ion as probe. From the values of spin Hamiltonian parameters and linewidths at room, liquid nitrogen and liquid helium temperatures it is concluded that these crystals do not become magnetically ordered as the temperature is lowered to 3.2K, and thus the transition temperature, below which the crystal would order either ferromagnetically, or antiferromagnetically, for these crystals, should be below 3.2K.

EPR Studies of Mn2+-Doped Diammonium Hexaaqua Magnesium(II) Sulfate

2006 ◽  
Vol 61 (12) ◽  
pp. 683-687 ◽  
Author(s):  
Ram Kripal ◽  
Ashutosh Kumar Shukla
Keyword(s):  
Electron Paramagnetic Resonance ◽  
Fine Structure ◽  
Single Crystals ◽  
Room Temperature ◽  
Spin Hamiltonian ◽  
Epr Spectrum ◽  
Paramagnetic Resonance ◽  
X Band ◽  
Hamiltonian Parameters ◽  
Electron Paramagnetic

Electron paramagnetic resonance (EPR) studies of Mn2+ impurity in single crystals of diammonium hexaaqua magnesium(II) sulfate have been carried out at 9.3 GHz (X-band) at room temperature. The EPR spectra exhibit a group of five fine structure transitions. The spin-Hamiltonian parameters were determined. Mn2+ enters the lattice interstitially. The EPR spectrum of a powder sample supports the data obtained by single crystal studies. - PACS number: 76.30

EPR Studies of VO2+ in Ba(ClO4) 2 ・3H2O Single Crystals

1997 ◽  
Vol 52 (12) ◽  
pp. 849-854 ◽  
Author(s):  
Metin Yavuz ◽  
Hüseyin Kalkan ◽  
Ahmet Bulut ◽  
Şehriman Atalay ◽  
Emin Öztekin
Keyword(s):  
Electron Paramagnetic Resonance ◽  
Single Crystal ◽  
Single Crystals ◽  
Axial Symmetry ◽  
Powder Sample ◽  
Spin Hamiltonian ◽  
Paramagnetic Resonance ◽  
Vanadyl Ion ◽  
Hamiltonian Parameters ◽  
Electron Paramagnetic

The results of an electron paramagnetic resonance (EPR) study of vanadyl ion VO2+ doped in single crystals of Ba(ClO4)2 - 3 H2O are reported. The spectra indicated the presence of two substitutional and interstitial sites depending on the orientation. The spin-Hamiltonian parameters were determined from single crystal and powder EPR data. These parameters were found to be axial symmetric for the powder sample, whereas they showed deviations from axial symmetry for the single crystal

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