Cross-sections in Lorenz–Mie theory and quantum scattering: formal analogies

2004 ◽  
Vol 231 (1-6) ◽  
pp. 9-15 ◽  
Author(s):  
G Gouesbet
Keyword(s):  
Cross Sections ◽  
Mie Theory ◽  
Quantum Scattering

scholarly journals Measurement and modeling of the multiwavelength optical properties of uncoated flame-generated soot

2018 ◽  
Vol 18 (16) ◽  
pp. 12141-12159 ◽  
Author(s):  
Sara D. Forestieri ◽  
Taylor M. Helgestad ◽  
Andrew T. Lambe ◽  
Lindsay Renbaum-Wolff ◽  
Daniel A. Lack ◽  
...  
Keyword(s):  
Optical Properties ◽  
Cross Sections ◽  
Climate Models ◽  
Complex Refractive Index ◽  
Mie Theory ◽  
Particle Diameter ◽  
Effective Theory ◽  
Soot Particles ◽  
Multiple Wavelengths ◽  
Specific Complex

Abstract. Optical properties of flame-generated black carbon (BC) containing soot particles were quantified at multiple wavelengths for particles produced using two different flames: a methane diffusion flame and an ethylene premixed flame. Measurements were made for (i) nascent soot particles, (ii) thermally denuded nascent particles, and (iii) particles that were coated and then thermally denuded, leading to the collapse of the initially lacy, fractal-like morphology. The measured mass absorption coefficients (MACs) depended on soot maturity and generation but were similar between flames for similar conditions. For mature soot, here corresponding to particles with volume-equivalent diameters >∼160 nm, the MAC and absorption Ångström exponent (AAE) values were independent of particle collapse while the single-scatter albedo increased. The MAC values for these larger particles were also size-independent. The mean MAC value at 532 nm for larger particles was 9.1±1.1 m2 g−1, about 17 % higher than that recommended by Bond and Bergstrom (2006), and the AAE was close to unity. Effective, theory-specific complex refractive index (RI) values are derived from the observations with two widely used methods: Lorenz–Mie theory and the Rayleigh–Debye–Gans (RDG) approximation. Mie theory systematically underpredicts the observed absorption cross sections at all wavelengths for larger particles (with x>0.9) independent of the complex RI used, while RDG provides good agreement. (The dimensionless size parameter x=πdp/λ, where dp is particle diameter and λ is wavelength.) Importantly, this implies that the use of Mie theory within air quality and climate models, as is common, likely leads to underpredictions in the absorption by BC, with the extent of underprediction depending on the assumed BC size distribution and complex RI used. We suggest that it is more appropriate to assume a constant, size-independent (but wavelength-specific) MAC to represent absorption by uncoated BC particles within models.

Collision excitation of sodium cyanide molecule by helium at low temperature

2019 ◽  
Vol 489 (3) ◽  
pp. 4322-4328
Author(s):  
C Gharbi ◽  
Y Ajili ◽  
D Ben Abdallah ◽  
M Mogren Al Mogren ◽  
M Hochlaf
Keyword(s):  
Electronic Structure ◽  
Cross Sections ◽  
Energy Surface ◽  
Three Dimensional ◽  
Sodium Cyanide ◽  
Rate Coefficients ◽  
Quantum Scattering ◽  
Stable Form ◽  
Excitation Cross Sections ◽  
Order Of Magnitude

ABSTRACT Cyanides/isocyanides are the most common metal-containing molecules in interstellar medium. In this work, quantum scattering calculations were carried out to determine the rotational (de-)excitation cross-sections of the most stable form of the sodium cyanide molecule, t-NaCN, in collision with the helium atom. Rate coefficients for the first 43 rotational levels (up to ${j_{{K_a}{K_c}}}$ = 63,3) of NaCN were determined for kinetic temperatures ranging from 1 to 30 K. Prior to that, we constructed a new three-dimensional potential energy surface (3D-PES) for the t-NaCN–He interacting system. These electronic structure computations are done at the CCSD(T)-F12/aug-cc-pVTZ level of theory. Computations show the dominance of Δj = ΔKc = −1 transitions, which is related to the dissymmetric shape of the t-NaCN–He 3D-PES. The NaCN–He rate coefficients are of the same order of magnitude (∼10−11 cm3.s−1) as those of other metal CN-containing molecules such as MgCN and AlCN in collision with He. This work is a contribution for understanding and modelling the abundances and chemistry of nitriles in astrophysical media.

scholarly journals Study of the Optical Properties of Functionalized Gold Nanoparticles in Different Tissues and Their Correlation with the Temperature Increase

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
A. Carrillo-Cazares ◽  
N. P. Jiménez-Mancilla ◽  
M. A. Luna-Gutiérrez ◽  
K. Isaac-Olivé ◽  
M. A. Camacho-López
Keyword(s):  
Cross Sections ◽  
Temperature Increase ◽  
Mie Theory ◽  
Average Temperature ◽  
Theoretical Maximum ◽  
Maximum Value ◽  
Homogeneous Media ◽  
532 Nm ◽  
Different Tissues ◽  
Functionalized Aunps

Mie theory explains the interaction of light with a gold nanoparticle (AuNP) through the absorption (Cabs), scattering (Csca), and extinction (Cext) cross sections. These parameters have been calculated in the case of AuNPs dispersed in homogeneous media, but not for specific tissues. The aim of this research was to theoretically obtain the optical cross sections (Cabs, Csca, and Cext) of functionalized AuNPs in liver and colon tissues through Mie theory and correlate them with the temperature increase observed experimentally in tissues containing AuNPs under plasmonic photothermal irradiation using a Nd-YAG laser (λ = 532 nm). Calculations showed that Cabs represents 98.96±0.03% of Cext at 532 nm. The Cext value for a functionalized AuNP in water was 365.66 nm2 (94% of the theoretical maximum value at 522.5 nm), 404.24 nm2 in colon (98% of the theoretical maximum value at 525 nm), and 442.39 nm2 in liver (96% of the theoretical maximum value at 525 nm). Therefore, nanoparticles irradiated at 532 nm are very close to their resonance value. These results correlated with the experimental irradiation of functionalized AuNPs in different tissues, where the average temperature increase showed the pattern liver > colon > water. The temperature increase observed (ΔT up to 13°C) is sufficient to produce cellular death.

scholarly journals The hyperfine excitation of OH radicals by He

2016 ◽  
Vol 70 (4) ◽  
Author(s):  
Sarantos Marinakis ◽  
Yulia Kalugina ◽  
François Lique
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Ab Initio ◽  
Cross Sections ◽  
Nuclear Spin ◽  
Energy Surface ◽  
Quantum Scattering ◽  
Oh Radicals ◽  
Vibrational Motion ◽  
Astronomical Observations

Abstract Hyperfine-resolved collisions between OH radicals and He atoms are investigated using quantum scattering calculations and the most recent ab initio potential energy surface, which explicitly takes into account the OH vibrational motion. Such collisions play an important role in astrophysics, in particular in the modelling of OH masers. The hyperfine-resolved collision cross sections are calculated for collision energies up to 2500 cm-1 from the nuclear spin free scattering S-matrices using a recoupling technique. The collisional hyperfine propensities observed are discussed. As expected, the results from our work suggest that there is a propensity for collisions with ΔF = Δj. The new OH−He hyperfine cross sections are expected to significantly help in the modelling of OH masers from current and future astronomical observations. Graphical abstract

Collisional (de-)excitation of protonated cyanoacetylene (HC3NH+) by helium at low and moderate temperatures

2021 ◽  
Vol 503 (2) ◽  
pp. 2902-2912
Author(s):  
M Mogren Al Mogren ◽  
D Ben Abdallah ◽  
S Dhaif Allah Al Harbi ◽  
M S Al Salhi ◽  
M Hochlaf
Keyword(s):  
Cross Sections ◽  
Quantum Scattering ◽  
Thermodynamical Equilibrium ◽  
Close Coupling ◽  
Molecular Chemistry ◽  
Excitation Cross Sections ◽  
Non Local ◽  
Total Energies ◽  
Highly Correlated ◽  
Local Thermodynamical Equilibrium

ABSTRACT Protonated cyanoacetylene, HC3NH+, is detected in astrophysical media, where it plays a key role as an intermediate in the chemistries of HCN/HNC and of cyanopolyynes. We first generated a potential energy surface (PES) describing the intermonomer interaction between HC3NH+ and He in Jacobi coordinates using the highly correlated CCSD(T)-F12/aug-cc-pVTZ ab initio methodology. Then, scattering calculations based on an exact close-coupling quantum-scattering technique were done to obtain pure rotational cross-sections for the rotational (de-)excitation of HC3NH+ after collision with He for total energies up to 2500 cm−1. These cross-sections are used to deduce the collision rates in the 5–350 K temperature range for the low-lying rotational levels of HC3NH+ (up to $j\,\, = \,\,15$). In addition, we generated an average PES for the HC3NH+–H2 system. The preliminary results show that the H2($j_{\mathrm{H_2}} = 0$) and He state-to-state de-excitation cross-sections have similar magnitudes, even though the H2 cross-sections are larger by a factor of 2–2.5. This work should help with the accurate derivation of protonated cyanoacetylene abundances in non-local thermodynamical equilibrium astrophysical media. These will put more constraints on the chemical pathways involving the formation and destruction of HC3NH+ while going back to the cyanopolyyne family and more generally those parts of nitrogen-containing molecular chemistry.

Observation of Partial Wave Resonances in Low-Energy O2–H2 Inelastic Collisions

Science ◽  
2013 ◽  
Vol 341 (6150) ◽  
pp. 1094-1096 ◽  
Author(s):  
Simon Chefdeville ◽  
Yulia Kalugina ◽  
Sebastiaan Y. T. van de Meerakker ◽  
Christian Naulin ◽  
François Lique ◽  
...  
Keyword(s):  
Partial Wave ◽  
Cross Sections ◽  
Ground State ◽  
Total Angular Momentum ◽  
Inelastic Collisions ◽  
Quantum Mechanical ◽  
Quantum Scattering ◽  
Rotational Excitation ◽  
Collision Processes ◽  
Theoretical Results

Partial wave resonances predicted to occur in bimolecular collision processes have proven challenging to observe experimentally. Here, we report crossed-beam experiments and quantum-scattering calculations on inelastic collisions between ground-state O2 and H2 molecules that provide state-to-state cross sections for rotational excitation of O2 (rotational state N = 1, j = 0) to O2 (N = 1, j = 1) in the vicinity of the thermodynamic threshold at 3.96 centimeter−1. The close agreement between experimental and theoretical results confirms the classically forbidden character of this collision-induced transition, which occurs exclusively in a purely quantum mechanical regime via shape and Feshbach resonances arising from partial waves with total angular momentum (J) = 2 to 4.

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