Mass-variation and Darwin relativistic corrections in many-electron atoms

1972 ◽  
Vol 24 (4) ◽  
pp. 300-306 ◽  
Author(s):  
B. W. N. Lo ◽  
K. M. S. Saxena ◽  
S. Fraga
Keyword(s):  
Mass Variation ◽  
Relativistic Corrections

Electron Spin–Spin Contact Interaction and Mass-Variation and Darwin Relativistic Corrections in Isoelectronic Series

1972 ◽  
Vol 50 (1) ◽  
pp. 42-46
Author(s):  
B. W. N. Lo ◽  
K. M. S. Saxena ◽  
S. Fraga
Keyword(s):  
Contact Interaction ◽  
Electron Spin ◽  
Mass Variation ◽  
Total Electron ◽  
Relativistic Corrections ◽  
Isoelectronic Series

The values of the total electron spin–spin contact interaction and the mass-variation and Darwin relativistic corrections have been calculated for a number of isoelectronic series. It is observed that the main contributions to these corrections, that are not negligible, are made by the inner electrons.

New approaches for the determination of dextran in the sugar production process

2018 ◽  
pp. 138-146 ◽  
Author(s):  
Karin Abraham ◽  
Eckhard Flöter
Keyword(s):  
Molecular Mass ◽  
Mass Distribution ◽  
Molecular Mass Distribution ◽  
Molecular Size ◽  
Mass Variation ◽  
Negative Effects ◽  
New Approaches ◽  
Precise Knowledge ◽  
Enzyme Application

The presence of polysaccharides in cane and beet raw juices causes several negative effects during the sugar manufacture. These are usually mitigated by enzymatic decomposition of dextrans. Such effects not only depend on the content, but also on the molecular mass distribution. This means that the different dextran fractions specifically affect the process. An accurate process control hence requires the most precise knowledge about the existing content and the molecular mass distribution present. A detailed understanding of the specific processing problems and also a targeted enzyme application hence requires the determination of a total dextran content and also its characterization including the differentiation between the different dextran fractions. An accurate analytical tool which equally satisfies industrial applicability is still lacking. To improve on this situation, two new approaches for the determination of dextran were developed and benchmarked against the commonly used and established Haze Method, which is rather inaccurate and also sensitive to molecular mass variation. The two new approaches are both based on polarimetry. These two methods indicate to be superior over the Haze Method with respect two molecular mass variation and hence enable the determination of a broader molecular size range including also low molecular mass dextrans.

Relativistic corrections to binding energies of muonic molecules

1990 ◽  
Vol 42 (7) ◽  
pp. 3789-3794 ◽  
Author(s):  
Gerrard Aissing ◽  
Hendrik J. Monkhorst
Keyword(s):  
Binding Energies ◽  
Relativistic Corrections

Parameter-dependent actuator fault estimation for vehicle active suspension systems based on RBFNN

2021 ◽  
pp. 095440702199301
Author(s):  
Wenping Xue ◽  
Pan Jin ◽  
Kangji Li
Keyword(s):  
Fault Tolerant ◽  
External Disturbance ◽  
Active Suspension ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Actuator Fault ◽  
Mass Variation ◽  
Fe Method ◽  
Comparison Results ◽  
Parameter Dependent

The actuator fault estimation (FE) problem is addressed in this study for the quarter-car active suspension system (ASS) with consideration of the sprung mass variation. Firstly, the ASS is modeled as a parameter-dependent system with actuator fault and external disturbance input. Then, a parameter-dependent FE observer is designed by using the radial basis function neural network (RBFNN) to approximate the actuator fault. In addition, the design conditions are turned into a linear matrix inequality (LMI) problem which can be easily solved with the aid of LMI toolbox. Finally, simulation and comparison results are given to show the accuracy and rapidity of the proposed FE method, as well as good adaptability against the sprung mass variation. Moreover, a simple FE-based active fault-tolerant control (AFTC) strategy is provided to further demonstrate the effectiveness and applicability of the proposed FE method.

Evaluation of annual and semiannual total mass variation over the Mediterranean Sea from satellite data

2021 ◽  
Vol 14 (10) ◽  
Author(s):  
Nadia AbouAly ◽  
Karem Abdelmohsen ◽  
Matthias Becker ◽  
Abdel-Monem S. Mohamed ◽  
Abotalib Z. Abotalib ◽  
...  
Keyword(s):  
Mediterranean Sea ◽  
Satellite Data ◽  
Total Mass ◽  
Mass Variation ◽  
The Mediterranean

scholarly journals Erratum: Relativistic corrections to exclusive χcJ+γ production from e+e− annihilation [Phys. Rev. D 97 , 096001 (2018)]

2020 ◽  
Vol 101 (3) ◽  
Author(s):  
Nora Brambilla ◽  
Wen Chen ◽  
Yu Jia ◽  
Vladyslav Shtabovenko ◽  
Antonio Vairo
Keyword(s):  
Relativistic Corrections
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