Interaction potential Lennard-Jones

Figure 7.13 Left interaction potential and force between an atom at the apex of the tip and an atom in the surface. Tip-surface interactions can be described by a summation of these potentials over all combinations of atoms from the tip and the surface. Right interaction potential between the tip, approximated as a sphere, and a plane surface, valid in the non-contact mode of force microscopy. To stress the long-range character of the non-contact potential, the Lennard-Jones interaction potential between two atoms has been included as well (dotted line).

An alternative to the hard-sphere collision rate constant in Eq. 10.155 is used for the case of a Lennard-Jones interaction potential between the excited molecule (1) and the collision partner (2) characterized by a cross section a 2 and well depth en... 

Convenient empirical fits of 1and Q-2,2 as a function of the reduced temperature T for the Lennard-Jones interaction potential were given in Eqs. 12.6 and 12.7. These expressions can be generalized for the Stockmayer potential (S . 0) through an additional... 

F. Barocchi, R. Vallauri, and M. Zoppi. Collision induced spectrum decay constant for Lennard-Jones interaction potential. Phys. Lett. A, 50 451-452 (1975). 

Calculate the Lennard-Jones interaction potential for the following molecules and plot them on the same graph. The calculations should be carried out for increments of r by 0.02ct in the range 0.9-1.2a, and by 0.1a in the range 1.2-2.4a. 

Figure 4. Demixing temperatures for Lennard-Jones polymer in Lennard-Jones solvent at P, = 2 as a function of polymer concentration for 16-mers (circles) and 64-mers (triangles). Temperature and pressure units are relative to the critical solvent properties. The Lennard-Jones interaction potential energy is cut at 2.5a and shifted [80].

The manner in which the rotational energy is converted is readily apparent when the effective potential V f r, p ) is plotted for several Lennard-Jones interaction potentials. For this purpose, we plot the function... 

Table 7.1. Mean internuclear separation and Lennard-Jones interaction potential as a function of pressure...

Brown (24,29) proposed a model of homogeneous yielding based on the Mie (Lennard-Jones) interaction potential. According to Brown, there are three types of molecular motions in an amorphous polymer up to shear 5deld strain ... 

Derive an analytical expression for the second virial coefficient for the Lennard-Jones interaction potential. (See Ref. 2.)... 

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