The use of dipole lattice sums to estimate electric fields and dipole moment enhancement in molecular crystals

2007 ◽  
Vol 443 (1-3) ◽  
pp. 87-91 ◽  
Author(s):  
Mark A. Spackman ◽  
Parthapratim Munshi ◽  
Dylan Jayatilaka
Keyword(s):  
Dipole Moment ◽  
Electric Fields ◽  
Molecular Crystals ◽  
Lattice Sums

scholarly journals Simple Solutions of Lattice Sums for Electric Fields Due to Infinitely Many Parallel Line Charges

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1040
Author(s):  
Erik Vigren ◽  
Andreas Dieckmann
Keyword(s):  
Electric Fields ◽  
Elliptic Functions ◽  
Parallel Line ◽  
Closed Form Solutions ◽  
Lattice Sums ◽  
Duality Symmetry ◽  
Long Line ◽  
Arbitrary Position ◽  
Electric Potentials ◽  
Lemniscate Functions

We present surprisingly simple closed-form solutions for electric fields and electric potentials at arbitrary position ( x ,   y ) within a plane crossed by infinitely long line charges at regularly repeating positions using angular or elliptic functions with complex arguments. The lattice sums for the electric-field components and the electric potentials could be exactly solved, and the duality symmetry of trigonometric and lemniscate functions occurred in some solutions. The results may have relevance in calculating field configurations with rectangular boundary conditions. Several series related to Gauss’s constant are presented, established either as corollary results or via parallel investigations conducted in the spirit of experimental mathematics.

Electronic structure of POPC phospholipids under constant electric field

2017 ◽  
Vol 31 (22) ◽  
pp. 1750157
Author(s):  
Jaciéli Evangelho de Figueiredo ◽  
Leandro Barros da Silva
Keyword(s):  
Electronic Structure ◽  
Dipole Moment ◽  
External Field ◽  
Electric Field ◽  
Electric Fields ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Constant Electric Field ◽  
Ab Initio Study ◽  
Electronic And Structural Properties

We report in the present paper an ab initio study on the electronic and structural properties of phospholipidic membranes under the influence of electric fields. We show that the external field alters the charge distribution of the molecule leading to a modification in the electric dipole moment. The torque on the phospholipid may then cause a transmembranar stress, which by its turn, weakens the membrane allowing to the formation of a pore.

High-Field Stark Effects on the Near Ultraviolet Spectrum of the Hydroxyl Radical

1971 ◽  
Vol 49 (22) ◽  
pp. 2825-2832 ◽  
Author(s):  
Ethan A. Scarl ◽  
F. W. Dalby
Keyword(s):  
Dipole Moment ◽  
Hydroxyl Radical ◽  
Electric Fields ◽  
High Field ◽  
Transition Probability ◽  
Ultraviolet Spectrum ◽  
Vibrational Transition ◽  
Near Ultraviolet ◽  
Stark Effects ◽  
Π State

Spectra due to the A2Σ+–X2Π transition of the hydroxyl radical in electric fields of over 300 000 V per cm have been obtained. The dipole moment of the A2Σ+ ν = 0 state of OH has been determined to be (1.98 ± 0.08) D. From the variation of the dipole moment with vibrational quantum number in the 2Π state, the transition probability for the pure vibrational transition ν = 1 →ν = 0 has been estimated to be A10 = 80s−1.

Laser Scanning Vibrometer Studies of Electro-Active Papers

Materials ◽  
2005 ◽  
Author(s):  
Mannur Sundaresan ◽  
Yongkun Park ◽  
Jaehwan Kim ◽  
William J. Craft ◽  
Kyo D. Song ◽  
...  
Keyword(s):  
Dipole Moment ◽  
Low Power ◽  
Electric Fields ◽  
Laser Scanning ◽  
Dynamic Responses ◽  
Scanning Laser ◽  
Laser Vibrometer ◽  
Ion Migration ◽  
Initial Results ◽  
Different Levels

The paper presents the initial results on the performance of cellulose-based Electro-Active Papers (EAPap) as actuators. The electro-active papers depend on ion migration and dipole moment for the actuation. EAPap is fabricated by depositing gold electrodes on the top and bottom surfaces of cellophane sheets. Small sheet specimens measuring approximately 1 cm × 3 cm, suspended from the 1 cm width were tested in this study. The characteristics of EAPap are evaluated by applying electric fields at different exciting frequencies and humidity levels. The dynamic responses of the specimens were measured using a scanning Laser vibrometer. As expected, different plate modes are excited at different frequencies. Wide variations in the performance of the specimens were seen bat different levels of humidity. The results indicate the potential of EAPap for low power and lightweight actuation.

Strain Effects in the Paraelectric Resonance of KCl: Li

1973 ◽  
Vol 28 (6) ◽  
pp. 938-952 ◽  
Author(s):  
B. Dischler
Keyword(s):  
Dipole Moment ◽  
Electric Fields ◽  
Electric Dipole ◽  
Zero Field ◽  
Host Crystal ◽  
Tunneling Model ◽  
Theoretical Line ◽  
Line Positions ◽  
Internal Strains ◽  
Good Agreement

The effects of random internal strains on the paraelectric resonance spectra for off-center Li in KCl are investigated quantitatively. Diagrams giving the theoretical line positions and relative intensities are presented for the principal orientations 〈100〉, 〈110〉, and 〈111〉. Where the model for an ideal host crystal predicts only one line, up to six lines are obtained in the present calcula­tion. A direct comparison with the published experimental spectra, taken at 9, 24, 29, 35, 63 and 74 GHz is performed. Very good agreement is found and the magnitude of internal strain has been inferred, yielding values between 18 and 42 bar for different samples. Random internal electric fields are found to be of the order 3kV/cm. For the halfwidth of the main signal, the orientation and frequency dependence is examined and explained by the calculations. The possible use of paraelectric Li as a microprobe for internal strains and internal electric fields in KCl is discussed. The electric dipole moment of Li7 is found to be 5.9±0.3 Debye in agreement with previous deter­minations. The “cube edge” tunneling model with equidistant zero field levels, separated by 22.2 GHz for Li7, is fully confirmed.

High Field Stark Effects in CH and NH

1974 ◽  
Vol 52 (15) ◽  
pp. 1429-1437 ◽  
Author(s):  
E. A. Scarl ◽  
F. W. Dalby
Keyword(s):  
Dipole Moment ◽  
Electric Fields ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
High Field ◽  
Dipole Moments ◽  
Optical Spectra ◽  
Vibrational States ◽  
Stark Effects

A LoSurdo discharge was used to apply electric fields of up to 290 kV/cm to a mixture of cyanogen and hydrogen, and to ammonia, permitting the observation of Stark effects in the optical spectra of the CH and NH molecules, respectively. These experiments yielded the following values of the molecular electric dipole moment in the ground vibrational states: μ(CH, A2Δ) = 0.887 ± 0.045 D, and μ(NH, X3Σ) = 1.389 ± 0.075 D. A table of experimental and theoretical dipole moments of first-row hydrides is included.

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