[CP2K-user] [CP2K:22345] Help tuning HSE exact-exchange fraction for AlN band gap in CP2K

Asif Billah asifbillah010 at gmail.com
Wed Jul 29 04:32:57 UTC 2026



Hello CP2K community,

I am calculating the bulk AlN band gap using CP2K 2024.1 with HSE, ADMM, a 
72-atom 3x3x2 wurtzite supercell, and Gamma point sampling. My target band 
gap is approximately 6.1 eV.

Using standard diagonalization, Broyden mixing, ADMM_PURIFICATION_METHOD 
NONE, and alpha=0.15, I obtained a converged gap of:
Band gap = 5.267211 eV 

However, when I used alpha=0.20, the SCF initially approached about 5.7 eV 
but later diverged catastrophically. A retry with DIRECT_P_MIXING and a 
level shift produced a NaN in the first SCF step.

Could you please advise: What is the recommended stable procedure or 
strategy so that the calculated bandgap reaches 6.1 eV using HSE 
calculations with ADMM? 

Any guidance would be greatly appreciated.

Thank you.

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