scholarly journals An analysis by adsorption of the surface structure of graphite

The work to be described had as objectives: to measure accurately sets of isothermals of non-polar gases on an inert adsorbent as a function of temperature and of quantity adsorbed; then to employ these isotherms and heats to obtain a modified Langmuir isotherm capable of a general and quantitative application to surfaces of variable adsorption potential. Owing to a quantization of the energy levels of the interacting molecules, in the van der Waals potential energy hollow, the liquid hydrogens H 2 and D 2 (Urey and Teal 1935) or the hydrogens adsorbed on charcoal (Barrer and Rideal 1935) have different vapour pressures; The quanta are larger for H 2 than for D 2 and therefore it is easier to evaporate H 2 . A counteracting influence must be considered, however (Lennard-Jones and Devonshire 1936), which is the effect of the mass on the wave functions whose product determines the probability of evaporation. Calculation shows for a simple case a separation factor which diminishes with temperature at a rate less than the original zero-point energy theory requires, though the zero-point energy effect is the greater. One might expect similar considerations to apply to other adsorbed molecules held by van der Waals forces only, and by lowering the temperature to cause transitions to lower vibrational levels of the adsorbed molecules against the solid, making it more difficult to desorb them. No investigation of the magnitude of these effects has been made, and so it was regarded as important to look for effects of temperature on pure van der Waals heats of sorption.

1995 ◽  
Vol 408 ◽  
Author(s):  
M. Meierovich ◽  
A. Mushinski ◽  
M. P. Nightingale

AbstractIn a previous paper [1], we developed a form of variational trial wave function and applied it to van der Waals clusters: five or less atoms of Ar and Ne modeled by the Lennard-Jones potential. In addition, we tested the trial functions for a hypothetical, light atom resembling Ne but with only half its mass. We did not study atoms such as He4 with larger de Boer parameters, i.e., systems in which the zero point energy plays a more important role relative to the potential energy. This is the main purpose of the present paper. In fact, we study clusters to the very limit where the zeropoint energy destroys the ground state as a bound state. A simple picture of this un-binding transition predicts the power law with which the energy vanishes as the de Boer parameter approaches its critical value and the power of the divergence of the the size of the clusters in this limit. Our numerical results are in agreement with these predictions.


2006 ◽  
Vol 124 (7) ◽  
pp. 074309 ◽  
Author(s):  
John C. Keske ◽  
Wei Lin ◽  
Wallace C. Pringle ◽  
Stewart E. Novick ◽  
Thomas A. Blake ◽  
...  

In the present paper we shall attempt to collate the results of four separate lines of research which, taken together, appear to provide some interesting checks between theory and experiment. The investigations to be considered are (1) the discussion by Waller* and by Wentzel,† on the basis of the quantum (wave) mechanics, of the scattering of radiation by an atom ; (2) the calculation by Hartree of the Schrödinger distribution of charge in the atoms of chlorine and sodium ; (3) the measurements of James and Miss Firth‡ of the scattering power of the sodium and chlorine atoms in the rock-salt crystal for X-rays at a series of temperatures extending as low as the temperature of liquid air ; and (4) the theoretical discussion of the temperature factor of X-ray reflexion by Debye§ and by Waller.∥ Application of the laws of scattering to the distribution of charge calculated for the sodium and chlorine atoms, enables us to calculate the coherent atomic scattering for X-radiation, as a function of the angle of scattering and of the wave-length, for these atoms in a state of rest, assuming that the frequency of the X-radiation is higher than, and not too near the frequency of the K - absorption edge for the atom.¶ From the observed scattering power at the temperature of liquid air, and from the measured value of the temperature factor, we can, by applying the theory of the temperature effect, calculate the scattering power at the absolute zero, or rather for the atom reduced to a state of rest. The extrapolation to a state of rest will differ according to whether we assume the existence or absence of zero point energy in the crystal lattice. Hence we may hope, in the first place to test the agreement between the observed scattering power and that calculated from the atomic model, and in the second place to see whether the experimental results indicate the presence of zero-point energy or no.


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