Dear QE users/developers

I’m currently seeking for some advice on the limitations of the application of 
the virtual crystal approximation. This week I came across this report ( 
https://patentimages.storage.googleapis.com/6d/d6/59/1f0d37b855ea9e/US8981626.pdf
 ), in which the VCA is used to mix Ti and Nb. As far as I’m aware, this 
approximation is applied to mix immediate neighbor elements (on the same row of 
the periodic table) , so I was wondering on how to apply the approximation in 
such a case.


To exemplify, let's consider Ti and Nb, mixed in a rate of 99:1. The resulting 
atom would have a fractional Z=22.19, and the Nb 1% would add to the system 
fractions of electrons to the 4p, 4d and 5s orbitals. As Ti’s highest orbital 
is the 3d, Is it right to assume that all these fractional charges from Nb’s 
orbitals would migrate to Ti’s 3d orbital?


Moving on to the way to implement this, I tried to do this mixture with 
virtual_v2.x, but it stops with the message “ different nqlc are not 
implemented (yet)”. Another approach would be to generate a pseudopotential for 
this Z=22.19 specimen, by just resetting the variables to represent this 
fractional atom? In this case, would it be right to assign to the 3d state the 
occupancy 2.19 (instead of the usual 2 for the pure Ti)? The 0.19 extra 
electron comes from the Nb 3d, 4p, 4d and 5s orbitals.

Thank you for the support

Fábio Costa
IF - Universidade Federal da Bahia

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