Reciprocal density

The result may be compared with an approximate solution, taking an average reciprocal density. 

Theory. The velocity (v) of particle sedimentation during centrifugation depends on the angular velocity co of the rotor, its effective radius (teff, the distance from the axis of rotation), and the particle s sedimentation properties. These properties are expressed as the sedimentation coef cient S (1 Svedberg, = 10 s). The sedimentation coef cient depends on the mass M of the particle, its shape (expressed as the coef cient of friction, f), and its density (expressed as the reciprocal density v, partial specific volume ). 

The atomic level structure of grain boundaries has been an important issue for the past several decades. In cubic materials geometrical constructs of periodic grain boundaries can be obtained for certain misorientation axis-angle combinations that are associated with coincident site lattices (CSLs). The CSLs are formed by the coincident sites of two hypothetically interpenetrating crystal lattices, where S is the reciprocal density of CSL sites. Much of the discussion of grain boundary structure and properties has revolved around the description of grain boundary structures in terms of the CSL, the displacement-shift complete (DSC) and the 0-lattice [10.10, 10.11]. 

In terms of specific volumes (reciprocal density), Vc and Va, of the crystalline and amorphous components, respectively, Eq. (P2.14.6) becomes (Young and Lovell, 1990) ... 

The intrinsic viscosity [q] has the same unit, [ml g" ], as the reduced viscosity rjred a better understanding, the intrinsic viscosity can be considered as a measure for the volume demand of the single polymer coil in ideally diluted solution. The intrinsic viscosity is proportional to the reciprocal density of the polymer coil in solution according to Eqs. (4.6) and (4.7). 

Fig. 6 a The cell density of human melanocytes as a function of time covering the same window. The experiments [19] start at systematically increased values of the cell density, b Master curve obtained from a by shifting each original pattern towards longer times so as to fit to a master curve, c The shift factor, 5, against the reciprocal density, 1/p. d The relative growth rate of the number of cells, d nn/dt, against the cell density, p... 

Fig. 2.10. Allowed energy values for an electron in crystalline mercury versus the reciprocal density. At high density (a), the s- and p-bands overlap and the material is metallic at low density (c), the bands are well separated and the material is insulating or semiconducting. There is a Bloch-l son metal-nonmetal transition near (b) where the bands begin to separate with decreasing density.

Fig. 2.10 Allowed ener values for an electron in crystalline mercury versus the reciprocal density. 30...

The ratio of the basis weight to the caliper is the density of the paper. The reciprocal density is the specific volume. 

Ttie reciprocal density relationshipp = 1/(Wz>hs+fes/pss) was used to estimate the resulting overall density of the desired polymer blend, assumingp =QSAlq[Pg.723]

The quantities in thermodynamics that we can directly measure with simple instruments are pressure P, temperature T, mass m, and volume VI Although we can argue about whether these are direct (in a thermocouple we measure an emf and use a table to convert that value to a temperature), all of these values are measurable without recourse to thermodynamic calculations. We commonly combine m and V to get v= V/m or its reciprocal, density = p = l/v = m/V. Such measurements are normally called PvT measurements. 

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