[QE-users] Acoustic Sum Rule Frequency Question

Paolo Giannozzi paolo.giannozzi at uniud.it
Sat Nov 1 18:34:22 CET 2025


Maybe your 441 cm-1 mode has a large admixture of a rotational mode? 
This may happen if the supercell is not large enough

Paolo

On 11/1/2025 12:55 AM, Tang, Weilun [M S E] via users wrote:
> Dear Quantum Espresso users,
> 
> I made a phonon calculation for an isolated molecule using acoustic sum 
> rule *asr='zero-dim'. *Then, I compared the phonon modes before and 
> after applying the acoustic sum rule. I noticed that there is a mode 
> that has a huge change in frequency, as shown below. More specifically, 
> the *441.1 cm-1* mode seems to be shifted to *115.30 cm-1 *after 
> applying the acoustic sum rule. Is this normal?
> 
> For this calculation, I used lower threshold: forc_conv_thr = 1.0D-6, 
> etot_conv_thr = 1.0D-6, conv_thr = 1.D-14 for pw.x. And for phx, I use 
> tr2_ph=1.0d-18.
> -------------------------------------------------------------
> Below is phonon modes from ph.x:
> 
>        Mode symmetry, D_3h (-62m) point group:
>          freq (   1-   1) =        -27.8  [cm-1]   --> A'_2
>          freq (   2-   3) =         65.6  [cm-1]   --> E''             R
>          freq (   4-   4) =        103.9  [cm-1]   --> A''2            I
>          freq (   5-   6) =        120.4  [cm-1]   --> E''             R
>          freq (   7-   8) =        146.2  [cm-1]   --> E'              I+R
>          freq (   9-  10) =        188.8  [cm-1]   --> E'              I+R
>          freq (  11-  11) =        367.1  [cm-1]   --> A'_1            R
>          freq (  12-  13) =        430.7  [cm-1]   --> E'              I+R
>          freq (  14-  14) =        441.1  [cm-1]   --> A''2            I
>          freq (  15-  15) =        461.4  [cm-1]   --> A'_2
>          freq (  16-  17) =        631.9  [cm-1]   --> E''             R
>          freq (  18-  18) =        776.4  [cm-1]   --> A''2            I
>          freq (  19-  20) =        801.0  [cm-1]   --> E'              I+R
>          freq (  21-  21) =        907.1  [cm-1]   --> A'_1            R
>          freq (  22-  22) =       1101.1  [cm-1]   --> A'_2
>          freq (  23-  24) =       1150.0  [cm-1]   --> E'              I+R
>          freq (  25-  25) =       1189.0  [cm-1]   --> A'_1            R
>          freq (  26-  27) =       1337.2  [cm-1]   --> E'              I+R
> ----------------------------------------------------------------
> Below is output from dynmat.x
> 
>       Reading Dynamical Matrix from file dmat.ttc
>       ...Force constants read
>       ...epsilon and Z* read
>       ...Raman cross sections read
>       Acoustic Sum Rule: || Z*(ASR) - Z*(orig)|| =    1.029894E+00
>       Acoustic Sum Rule: ||dyn(ASR) - dyn(orig)||=    2.701556E-01
>       A direction for q was not specified:TO-LO splitting will be absent
> 
>       Polarizability (A^3 units)
>       multiply by 0.759092 for Clausius-Mossotti correction
>         262.517180   -0.000000   -0.000000
>          -0.000000  262.517180   -0.000000
>           0.000000    0.000000   57.305445
> 
>       IR activities are in (D/A)^2/amu units
>       Raman activities are in A^4/amu units
>       multiply Raman by 0.576221 for Clausius-Mossotti correction
> 
> # mode   [cm-1]    [THz]      IR          Raman   depol.fact
>      1     -0.00   -0.0000    0.0000        16.3234    0.7500
>      2     -0.00   -0.0000    0.0000      3355.0146    0.7500
>      3     -0.00   -0.0000    0.0000      1478.4689    0.7500
>      4      0.00    0.0000    0.0000       285.5435    0.7500
>      5      0.00    0.0000    0.0000       873.4000    0.7500
>      6      0.00    0.0000    0.0000      1623.8289    0.7500
>      7     73.38    2.1998    0.0000       696.8190    0.7500
>      8     73.38    2.1998    0.0000       696.8152    0.7500
>      9    115.30    3.4567    0.2787         0.0000    0.7500
>     10    177.24    5.3134    1.7092     44473.2909    0.7500
>     11    177.24    5.3134    1.7092     44473.2914    0.7500
>     12    367.09   11.0050    0.0000  11288132.4685    0.1106
>     13    436.75   13.0934    0.2992      3721.4221    0.7500
>     14    436.75   13.0934    0.2992      3721.4231    0.7500
>     15    462.38   13.8617    0.0000         0.0004    0.7500
>     16    631.59   18.9347    0.0000     13677.2759    0.7500
>     17    631.59   18.9347    0.0000     13677.2842    0.7500
>     18    778.46   23.3377    0.0792         0.0000    0.7500
>     19    802.57   24.0605   12.9665   1800840.5786    0.7500
>     20    802.57   24.0605   12.9665   1800840.5109    0.7500
>     21    907.11   27.1945    0.0000   8355726.6168    0.1191
>     22   1101.10   33.0101    0.0000         0.0000    0.7500
>     23   1150.13   34.4801   26.2055  16251271.1703    0.7500
>     24   1150.13   34.4801   26.2055  16251270.4526    0.7500
>     25   1189.02   35.6458    0.0000     16979.5440    0.2674
>     26   1337.59   40.1000   27.2231  16068754.7864    0.7500
>     27   1337.59   40.1000   27.2231  16068754.1344    0.7500
> 
> --------------------------------------------------------------------------------------------------------
> Below is my input file for pw.x
> 
> &CONTROL
>    calculation  = "scf",
>    prefix       = "ttc",
>    pseudo_dir   = "/home/weilunt/pseudopotential/norm_conserving/pz",
>    outdir       = "./tmp",
>    forc_conv_thr = 1.0D-6,
>    etot_conv_thr = 1.0D-6,
> 
> /
> &SYSTEM
>    assume_isolated = 'martyna-tuckerman',
>    ibrav     = 4,
>    A = 17.2,
>    C = 10,
>    nat       = 9,
>    ntyp      = 3,
>    ecutwfc   = 80.D0, !better 120
>    tot_charge = -3,
>    occupations = 'fixed',
> /
> &ELECTRONS
>    conv_thr    = 1.D-14,
>    mixing_beta = 0.7,
>    electron_maxstep = 200,
> /
> &IONS
> /
> ATOMIC_SPECIES
>    S 32.070  S.pz-hgh.UPF
>    N 14.007  N.pz-hgh.UPF
>    C 12.010  C.pz-hgh.UPF
> ATOMIC_POSITIONS (angstrom)
> S                0.0000000000       -3.0749791762       -0.0000000000
> S               -2.6627598154        1.5374395881       -0.0000000000
> S                2.6627598154        1.5374395881        0.0000000000
> N                1.1913527585       -0.6879250817       -0.0000000000
> N               -1.1913527585       -0.6879250817        0.0000000000
> N                0.0000000000        1.3757501635        0.0000000000
> C                0.0000000000       -1.3240902237       -0.0000000000
> C               -1.1466139383        0.6620951119        0.0000000000
> C                1.1466139383        0.6620951119        0.0000000000
> K_POINTS (automatic)
> 1 1 1 0 0 0
> -----------------------------------------------------------------------------------------
> 
> Thank you for your time and your help in advance,
> 
> Weilun Tang
> 
> 
> 
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-- 
Paolo Giannozzi, Dip. Scienze Matematiche Informatiche e Fisiche,
Univ. Udine, via delle Scienze 206, 33100 Udine Italy, +39-0432-558216



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