Search results
Results from the WOW.Com Content Network
It is often useful to give the gyrofrequency a sign with the definition = or express it in units of hertz with =. For electrons, this frequency can be reduced to , = (/).. In cgs-units the gyroradius = | | and the corresponding gyrofrequency = | | include a factor , that is the velocity of light, because the magnetic field is expressed in units [] = / /.
Radius of gyration (in polymer science)(, unit: nm or SI unit: m): For a macromolecule composed of mass elements, of masses , =1,2,…,, located at fixed distances from the centre of mass, the radius of gyration is the square-root of the mass average of over all mass elements, i.e.,
Moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis; it is the rotational analogue to mass (which determines an object's resistance to linear acceleration).
Since the gyration tensor is a symmetric 3x3 matrix, ... The squared radius of gyration is the sum of the principal moments: = ...
One of the variables in the above equation that reflects the geometry of the specimen is the slenderness ratio, which is the column's length divided by the radius of gyration. [ 4 ] The slenderness ratio is an indicator of the specimen's resistance to bending and buckling, due to its length and cross section.
It is defined as / where is the effective length of the column and is the least radius of gyration, the latter defined by = / where is the area of the cross-section of the column and is the second moment of area of the cross-section. The effective length is calculated from the actual length of the member considering the rotational and relative ...
As described above, the radius of gyration, R g, and the second virial coefficient, A 2, are also calculated from this equation. The refractive index increment dn/dc characterizes the change of the refractive index n with the concentration c and can be measured with a differential refractometer.
The quadratic mean of the end-to-end distance can be related to the quadratic mean of the radius of gyration of a polymer by the relation: [1] r 2 = 6 s 2 {\displaystyle \left\langle r^{2}\right\rangle =6\left\langle s^{2}\right\rangle }