The distinction between the groups is more to do with atomic volume and geological behavior ( see lower down ).
2.
This holds true except in situations where there is an accompanying volume change in the material because this violates one of Darken s critical assumptions that atomic volume is constant.
3.
In addition to bonding, AIM allows the calculation of certain physical properties on a per-atom basis, by dividing space up into atomic volumes containing exactly one nucleus, which acts as a local attractor of the electron density.
4.
As noted, the much lower values for gas heat capacity in terms of volume as compared with solids ( although more comparable per mole, see below ) results mostly from the fact that gases under standard conditions consist of mostly empty space ( about 99.9 % of volume ), which is not filled by the atomic volumes of the atoms in the gas.
5.
More specifically, ??0 is the difference between the chemical potential of the depositing species ( Si in the above example ) in the vapor and solid whisker phase . ??0 is the initial difference proceeding whisker growth ( when d \ rightarrow \ infty ), while \ Omega is the atomic volume of Si and \ alpha the specific free energy of the wire surface.
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