Dear all,
 
I have read the paper titled ??Theory of systematic absence of NaCl-type 
(??-Sn-type) high pressure phases in covalent (ionic) semiconductors?? (Phys 
Rev Lett. 82, 767, 1999). The phonon behaviors are dominated by the competition 
between the attractive electrostatic Madelung energy ?CZ2/R (where Z is the 
excess charge within the atomic sphere) and the repulsive short-range energy. I 
can not understand well the formula of the force constant given in the last 
part of page 769, which reads:
 
?????? = nA??????/Rn+2-Z2??????/R3-??R??R??/ R5
 
How does it come from? Does it apply to all the systems or just apply to some 
specific system?  The values of A and ?? are determined by what factors? 
 
The authors claimed that the transverse acoustic mode at X point lowers the 
repulsive energy and raises the Madelung energy, but why?
 
I have pondered hardly and consulted with others. But I have reached no 
conclusion. I wrote letter to Alex Zunger, one of the two authors. He did not 
write back yet.
 
Any reply will be appreciated!
 
With all my best regards!
 
                                                      Yours sincerely
                                                       Jingyun Zhang
 
 
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