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Intrinsic viscosity : ウィキペディア英語版
Intrinsic viscosity
Intrinsic viscosity \left(\eta \right ) is a measure of a solute's contribution to the viscosity \eta of a solution. It should not be confused with inherent viscosity, which is the ratio of the natural logarithm of the relative viscosity to the mass concentration of the polymer.
Intrinsic viscosity is defined as

\left(\eta \right ) = \lim_ \frac\phi}

where \eta_0 is the viscosity in the absence of the solute and \phi is the volume fraction of the solute in the solution. As defined here, the intrinsic viscosity \left(\eta \right ) is a dimensionless number. When the solute particles are rigid spheres at infinite dilution, the intrinsic viscosity equals
\frac, as shown first by Albert Einstein.
In practical settings, \phi is usually solute mass concentration (c, g/dL), and the units of intrinsic viscosity \left(\eta \right ) are deciliters per gram (dL/g), otherwise known as inverse concentration.
==Formulae for rigid spheroids==

Generalizing from spheres to spheroids with an axial semiaxis a (i.e., the semiaxis of revolution) and equatorial semiaxes b, the intrinsic viscosity can be written
:
\left(\eta \right ) =
\left( \frac \right) (J + K - L) +
\left( \frac \right) L +
\left( \frac \right) M +
\left( \frac \right) N

where the constants are defined
:
M \ \stackrel\ \frac}

:
K \ \stackrel\ \frac

:
J \ \stackrel\ K \frac}}

:
L \ \stackrel\ \frac + b^ \right)}
\frac}

:
N \ \stackrel\ \frac - b^ \right)} + b^ J_}

The J coefficients are the Jeffery functions
:
J_ =
\int_^ \frac \right)^}}

:
J_ =
\int_^ \frac \sqrt}

:
J_^ =
\int_^ \frac \sqrt}

:
J_^ =
\int_^ \frac \sqrt}}

:
J_^ =
\int_^ \frac \sqrt}

:
J_^ =
\int_^ \frac \sqrt}}


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Intrinsic viscosity」の詳細全文を読む



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