Tetrahedron formed by 3 of the more close spheres to the sphere 1.

Tetrahedron formed by 3 of the more close spheres to the sphere 1.

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In this work, the effect of pore structure of a sandstone on the molecular displacement of confined methane gas is analyzed. It was found that the self-diffusion coefficient of a methane molecule depends on the pore size distribution an their connectivity. In particular, the time dependent self-diffusion coefficient exhibits a maximum which is corr...

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Context 1
... definition of a pore is illustrated in Fig. 1. In this case, the tetrahedron is formed by the centers of four neighbor spheres. Thus, the shape of the pore corresponds to tetrahedron volume without the partial volume of each sphere. The algorithm to calculate the pore size is now ...
Context 2
... A sphere in the matrix of hard spheres is selected (and is labeled as the sphere 1). Other three spheres, which are more close to sphere 1, are selected too. The centers of the four spheres are the corners of the tetrahedron (see the Fig. 1), and the tetrahedron volume is calculated with ...
Context 3
... the vectors r 21 , r 31 , and r 41 are defined in the Fig. 1. 2. In this step a system of coordinate axes is chosen so that the center of the sphere 1 is at the origin, meanwhile the unit vectorˆrvectorˆvectorˆr 21 is on the axis z, the unit vectorˆr vectorˆvectorˆr 31 is on the plane xz, and the unit vectorˆrvectorˆvectorˆr 41 together withˆrwithˆwithˆr 21 define a second plane that forms the ...

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