Rotational Diffusion Coefficients

1981 ◽  
pp. 75-103 ◽  
Author(s):  
José García de la Torre
Keyword(s):  
Diffusion Coefficients ◽  
Rotational Diffusion ◽  
Rotational Diffusion Coefficients

Study on Nanoparticle Sizing Using Fluorescent Polarization Method with DNA Fluorescent Probe

2015 ◽  
Vol 9 (5) ◽  
pp. 534-540 ◽  
Author(s):  
Terutake Hayashi ◽  
◽  
Yuki Ishizaki ◽  
Masaki Michihata ◽  
Yasuhiro Takaya ◽  
...  
Keyword(s):  
Diffusion Coefficient ◽  
Fluorescent Probe ◽  
Diffusion Coefficients ◽  
Hard Spheres ◽  
Rotational Diffusion ◽  
Polarization Method ◽  
Novel Method ◽  
Rotational Diffusion Coefficients ◽  
20 Nm ◽  
Rotational Diffusion Coefficient

Fluorescent polarization methods are used to detect complementary base pairing of DNA in biological fields. These methods work by measuring the rotational diffusion coefficient of Brownian motion of the fluorescent particles in solution. The rotational diffusion coefficient corresponds to the inverse third power of diameter according to the Debye-Stokes-Einstein equation for nanoparticles as hard spheres. We develop a novel method to measure the rotational diffusion coefficient using a fluorescent probe with a DNA spacer connected to a gold nanoparticle. We studied the physical characteristics of this probe to verify the feasibility of the proposed method. The rotational diffusion coefficients of gold nanoparticles with diameters ranging between 5–20 nm were measured using this developed system. In this manuscript we describe a novel fluorescent polarization method for nanoparticle sizing using a fluorescent DNA probe.

Shell Model Calculations of Rotational Diffusion Coefficients*

Biochemistry ◽  
1967 ◽  
Vol 6 (6) ◽  
pp. 1650-1658 ◽  
Author(s):  
Don P. Filson ◽  
Victor A. Bloomfield
Keyword(s):  
Shell Model ◽  
Diffusion Coefficients ◽  
Rotational Diffusion ◽  
Model Calculations ◽  
Rotational Diffusion Coefficients

scholarly journals Cross-correlation analysis of X-ray photon correlation spectroscopy to extract rotational diffusion coefficients

2021 ◽  
Vol 118 (34) ◽  
pp. e2105826118
Author(s):  
Zixi Hu ◽  
Jeffrey J. Donatelli ◽  
James A. Sethian
Keyword(s):  
Brownian Motion ◽  
Diffusion Coefficients ◽  
Cross Correlation ◽  
Photon Correlation Spectroscopy ◽  
Rotational Diffusion ◽  
Correlation Spectroscopy ◽  
Photon Correlation ◽  
X Ray ◽  
Cross Correlation Analysis ◽  
Rotational Diffusion Coefficients

Coefficients for translational and rotational diffusion characterize the Brownian motion of particles. Emerging X-ray photon correlation spectroscopy (XPCS) experiments probe a broad range of length scales and time scales and are well-suited for investigation of Brownian motion. While methods for estimating the translational diffusion coefficients from XPCS are well-developed, there are no algorithms for measuring the rotational diffusion coefficients based on XPCS, even though the required raw data are accessible from such experiments. In this paper, we propose angular-temporal cross-correlation analysis of XPCS data and show that this information can be used to design a numerical algorithm (Multi-Tiered Estimation for Correlation Spectroscopy [MTECS]) for predicting the rotational diffusion coefficient utilizing the cross-correlation: This approach is applicable to other wavelengths beyond this regime. We verify the accuracy of this algorithmic approach across a range of simulated data.

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