In a polymer solution, a theta solvent (or θ solvent) is a solvent in which polymer coils act like ideal chains, assuming exactly their random walk coil...
6 KB (822 words) - 09:18, 28 June 2023
the particular polymer-solvent system. For solvents, a value of a = 0.5 {\displaystyle a=0.5} is indicative of a theta solvent. A value of a = 0.8 {\displaystyle...
3 KB (462 words) - 04:22, 16 August 2024
the theta solvent, or the state of the polymer solution where the value of the second virial coefficient becomes 0, the intermolecular polymer-solvent repulsion...
72 KB (7,740 words) - 01:07, 6 August 2024
computational chemistry, a solvent model is a computational method that accounts for the behavior of solvated condensed phases. Solvent models enable simulations...
32 KB (4,370 words) - 18:27, 17 February 2024
transition of a polymer chain from good solvent behavior through ideal or theta solvent behavior to poor solvent behavior. The canonical coil–globule transition...
5 KB (557 words) - 08:54, 30 December 2023
like a fractal object. In bad solvent it behaves like a solid sphere. In the so-called θ {\displaystyle \theta } solvent, ν = 1 / 2 {\displaystyle \nu...
21 KB (3,218 words) - 18:14, 27 January 2024
2 ) / λ {\displaystyle \ q=4\pi n_{0}\sin(\theta /2)/\lambda } with n0 the refractive index of the solvent, λ the wavelength of the light source, NA the...
18 KB (2,529 words) - 21:40, 15 December 2023
{\displaystyle S_{\text{conf}}/k_{\rm {B}}\approx -\theta _{A}\ln(\theta _{A})-(1-\theta _{A})\ln(1-\theta _{A}).} On the other hand, the entropy of a molecule...
29 KB (4,972 words) - 22:28, 30 June 2024
mg\cos \theta } : m g sin θ = N μ {\displaystyle mg\sin \theta =N\mu } m g sin θ = μ m g cos θ {\displaystyle mg\sin \theta =\mu mg\cos \theta } ( sin...
13 KB (1,715 words) - 10:13, 8 June 2024
formulas a = r sin θ {\displaystyle a=r\sin \theta } , h = r ( 1 − cos θ ) {\displaystyle h=r(1-\cos \theta )} , 2 h r = a 2 + h 2 {\displaystyle 2hr=a^{2}+h^{2}}...
17 KB (2,995 words) - 07:53, 13 July 2024
the solvent (in which case, the interactions between monomer and monomer, solvent molecule and solvent molecule, and between monomer and solvent are identical...
22 KB (3,882 words) - 22:36, 7 July 2024
ellipticity, [ θ ] {\displaystyle [\theta ]} , are readily interconverted by the equation: [ θ ] = 3298.2 Δ ε . {\displaystyle [\theta ]=3298.2\,\Delta \varepsilon...
29 KB (4,004 words) - 05:32, 12 December 2023
Seiichi (March 8, 2007). "Unperturbed chain dimensions of polyethylene in theta solvents". Journal of Polymer Science Part C: Polymer Symposia. 15 (1): 285–294...
58 KB (6,032 words) - 03:12, 22 June 2024
temperatures approaching the liquid-vapor critical point of the solvent. At such temperatures the solvent expands much more rapidly than the polymer, whose segments...
14 KB (1,790 words) - 18:23, 27 April 2024
_{\alpha \theta }+\gamma _{\theta \beta }\cos \left(\theta \right)+\gamma _{\alpha \beta }\cos \left(\alpha \right)&=0\\\gamma _{\alpha \theta }\cos \left(\theta...
56 KB (7,533 words) - 20:55, 8 July 2024
has been used to describe persistence in polymer chains in good and theta solvents, branched polymers, polymers of complex topology such as star polymers...
21 KB (2,509 words) - 09:47, 18 August 2024
changes in the vibrational frequencies of molecules due to variations in the solvent environment. Solvatochromism is a broader term that describes changes in...
16 KB (2,089 words) - 07:55, 19 June 2024
to be nonpolar and, thus, prefer other neutral molecules and nonpolar solvents. Because water molecules are polar, hydrophobes do not dissolve well among...
29 KB (3,125 words) - 05:18, 24 June 2024
{\displaystyle K={\frac {k}{k_{-1}}}={\frac {\theta }{(1-\theta )P}},} or θ = K P 1 + K P , {\displaystyle \theta ={\frac {KP}{1+KP}},} where P {\displaystyle...
55 KB (7,157 words) - 09:48, 18 August 2024
(}{\Big (}{\frac {1-\cos(\theta _{a})}{\sin(\theta _{a})}}{\Big )}{\Big (}3+{\Big (}{\frac {1-\cos(\theta _{a})}{\sin(\theta _{a})}}{\Big )}^{2}{\Big )}{\Big...
51 KB (5,835 words) - 10:13, 6 July 2024
as a function of both temperature and concentration of molecules in a solvent (typically water). Metallotropic LCs are composed of both organic and inorganic...
94 KB (11,478 words) - 13:45, 30 July 2024
, {\displaystyle M(x)=\sum _{k=1}^{m}{\frac {g_{i}}{\theta _{i}}}\exp \left({\frac {-x}{\theta _{i}}}\right),} where for each mode of the relaxation...
45 KB (5,952 words) - 03:51, 12 August 2024
{q^{4}}{m^{2}c^{4}}}\right){\frac {1+\cos ^{2}2\theta }{2}}=I_{e}7.94\times 10^{-26}{\frac {1+\cos ^{2}2\theta }{2}}=I_{e}f} Hence the atomic nuclei, which...
32 KB (4,200 words) - 23:52, 2 June 2024
different concentration at the surface of a solvent than in its bulk. This difference varies from one solute–solvent combination to another. Gibbs isotherm...
71 KB (8,783 words) - 15:36, 10 August 2024
2 {\displaystyle \cos \theta \ \mathrm {obs} =\ f\cos \theta _{1}+(1-f)\cos \theta _{2}} where: θ o b s {\displaystyle \theta \ \mathrm {obs} } is the...
23 KB (3,145 words) - 12:36, 8 April 2024
used with implicit solvents. In 2006, a special version of CHARMM22/CMAP was reparametrized for consistent use with implicit solvent GBSW. The CHARMM22...
17 KB (2,111 words) - 23:44, 30 June 2024
n_{0}}{\lambda }}\sin \left({\frac {\theta }{2}}\right)} where λ is the incident laser wavelength, n0 is the solvent refractive index and θ is the angle...
33 KB (4,231 words) - 23:59, 10 May 2024
_{<}=Ar\cos \theta \,,} while outside the sphere: ϕ > = ( B r + C r 2 ) cos θ . {\displaystyle \phi _{>}=\left(Br+{\frac {C}{r^{2}}}\right)\cos \theta \,.}...
55 KB (7,958 words) - 17:56, 30 June 2024
{i}(l_{i}-l_{i}^{0})^{2}+\sum _{i\in {\text{angles}}}{k_{a}}_{i}(\theta _{i}-\theta _{i}^{0})^{2}} + ∑ i ∈ torsions ∑ n 1 2 V i n [ 1 + cos ( n ω i...
13 KB (1,627 words) - 23:05, 7 August 2024
_{\text{bonds}}k_{r}(R_{II'}-r_{0})^{2}\\&+\sum _{\text{angles}}k_{\theta }(\theta -\theta _{0})^{2}+\sum _{\text{torsions}}\sum _{n}k_{\phi ,n}[\cos(n\phi...
16 KB (2,324 words) - 05:07, 8 July 2024