Energy is not converged with HSE06 under polarized-system

Questions of type "How do I calculate xxx ?"
(Open discussion, limited support from the helpdesk.)

Moderators: Global Moderator, Moderator

Energy is not converged with HSE06 under polarized-system

Postby VASP001 » Mon Sep 11, 2017 4:30 am

The system is polarized bulk materials with dipole moment. My INCAR is as followed:

NCORE = 6

#Startparameter for this run:
PREC = Normal
ISTART = 0
ICHARG = 2
ISPIN = 1
#MAGMOM=71*6
LORBIT = 11

#Electronic Relaxation
ENCUT = 400
NELM = 666; NELMIN= 6; NELMDL= -5
EDIFF = 1E-6
LREAL = F
ALGO = Normal

#Ionic relaxation
EDIFFG = -1E-3
NSW = 0
IBRION = -1
ADDGRID= .T.
ISIF = 2
ISYM = 0
POTIM = 0.6

LVDW = .TRUE.

#DOS related values
#EMIN = 10.00; EMAX =-10.00
ISMEAR = 0
SIGMA = 0.02
#NBANDS = 360

#Write flags
LWAVE = T
LCHARG = F

LAECHG = F
NWRITE = 0

# IBand
#LPARD =.TRUE.
#IBAND =115 116
#KPUSE =9 10
#LSEPK = T
#LSEPB =.TRUE.

#HSE06
LHFCALC = .TRUE.
HFSCREEN = 0.2
LMAXFOCK = 4
ALGO = Normal
TIME = 0.8
PRECFOCK = L
#PRECFOCK=Fast
#IMIX=1
#AMIX=0.2
#
IDIPOL=3
DIPOL = 0.65442686 0.57721252 0.40172038 (This value the centroid of the bulk materials)
LDIPOL= .TRUE.


My OSZICAR is like this:

N E dE d eps ncg rms rms(c)
DAV: 1 0.117058306925E+04 0.11706E+04 -0.69313E+04 1440 0.167E+03
DAV: 2 0.669937094637E+02 -0.11036E+04 -0.10855E+04 1088 0.677E+02
DAV: 3 -0.113589389776E+03 -0.18058E+03 -0.17556E+03 1472 0.213E+02
DAV: 4 -0.125429937404E+03 -0.11841E+02 -0.11649E+02 1288 0.588E+01
DAV: 5 -0.192207851894E+03 -0.66778E+02 -0.10603E+01 1280 0.164E+01 0.856E+01
DAV: 6 -0.192219979702E+04 -0.17300E+04 -0.34245E+04 1832 0.412E+02 0.256E+02
DAV: 7 -0.197702060033E+04 -0.54821E+02 -0.53162E+04 1784 0.637E+02 0.550E+02
DAV: 8 -0.136656848832E+04 0.61045E+03 -0.40611E+04 1744 0.482E+02 0.540E+02
DAV: 9 -0.484495689380E+03 0.88207E+03 -0.14134E+04 1696 0.380E+02 0.237E+02
DAV: 10 -0.492921070887E+02 0.43520E+03 -0.27974E+03 1768 0.198E+02 0.151E+02
DAV: 11 -0.335025747907E+03 -0.28573E+03 -0.36357E+03 1920 0.163E+02 0.161E+02
DAV: 12 -0.237812550558E+04 -0.20431E+04 -0.50078E+04 1760 0.508E+02 0.512E+02
DAV: 13 -0.116127085608E+04 0.12169E+04 -0.36289E+04 1696 0.455E+02 0.442E+02
DAV: 14 -0.188322132775E+04 -0.72195E+03 -0.48192E+04 1888 0.619E+02 0.366E+02
DAV: 15 -0.473020328579E+03 0.14102E+04 -0.14816E+04 1752 0.378E+02 0.309E+02
DAV: 16 -0.218285711462E+03 0.25473E+03 -0.58643E+03 1920 0.235E+02 0.170E+02
DAV: 17 -0.119562418265E+04 -0.97734E+03 -0.23283E+04 1904 0.302E+02 0.261E+02
DAV: 18 -0.167597232821E+04 -0.48035E+03 -0.41985E+04 1792 0.444E+02 0.408E+02
DAV: 19 -0.163173852578E+04 0.44234E+02 -0.44376E+04 1792 0.489E+02 0.437E+02
DAV: 20 -0.997683070452E+03 0.63406E+03 -0.30498E+04 1784 0.511E+02 0.269E+02
DAV: 21 -0.450164146159E+03 0.54752E+03 -0.11001E+04 1848 0.319E+02 0.229E+02
DAV: 22 -0.511407367866E+03 -0.61243E+02 -0.12221E+04 1920 0.238E+02 0.235E+02
DAV: 23 -0.195345789607E+04 -0.14421E+04 -0.42065E+04 1768 0.438E+02 0.322E+02
DAV: 24 -0.163186672220E+04 0.32159E+03 -0.47530E+04 1768 0.562E+02 0.419E+02
DAV: 25 -0.123463743640E+04 0.39723E+03 -0.34813E+04 1752 0.484E+02 0.362E+02
DAV: 26 -0.459776920253E+03 0.77486E+03 -0.13026E+04 1856 0.320E+02 0.200E+02
DAV: 27 -0.225577507627E+03 0.23420E+03 -0.64959E+03 1920 0.203E+02 0.153E+02
DAV: 28 -0.896962390694E+03 -0.67138E+03 -0.17634E+04 1912 0.289E+02 0.249E+02
DAV: 29 -0.200384757843E+04 -0.11069E+04 -0.45476E+04 1760 0.479E+02 0.325E+02
DAV: 30 -0.167542098288E+04 0.32843E+03 -0.49098E+04 1776 0.571E+02 0.433E+02
DAV: 31 -0.101626271496E+04 0.65916E+03 -0.29728E+04 1696 0.459E+02 0.358E+02
DAV: 32 -0.364826584277E+03 0.65144E+03 -0.97152E+03 1888 0.294E+02 0.200E+02
DAV: 33 -0.335589260095E+03 0.29237E+02 -0.84432E+03 1920 0.201E+02 0.183E+02
DAV: 34 -0.151387597987E+04 -0.11783E+04 -0.31759E+04 1832 0.369E+02 0.400E+02
DAV: 35 -0.180461088548E+04 -0.29073E+03 -0.45578E+04 1752 0.490E+02 0.392E+02
DAV: 36 -0.169567627703E+04 0.10893E+03 -0.48823E+04 1776 0.606E+02 0.392E+02
DAV: 37 -0.743791690858E+03 0.95188E+03 -0.21694E+04 1680 0.423E+02 0.324E+02
DAV: 38 -0.258126581316E+03 0.48567E+03 -0.70684E+03 1920 0.265E+02 0.181E+02
DAV: 39 -0.654858412374E+03 -0.39673E+03 -0.13041E+04 1920 0.225E+02 0.225E+02
DAV: 40 -0.182462159480E+04 -0.11698E+04 -0.41829E+04 1776 0.437E+02 0.440E+02
DAV: 41 -0.149864250337E+04 0.32598E+03 -0.41498E+04 1784 0.461E+02 0.417E+02
DAV: 42 -0.149942376198E+04 -0.78126E+00 -0.42691E+04 1784 0.576E+02 0.339E+02
DAV: 43 -0.571567126594E+03 0.92786E+03 -0.15801E+04 1768 0.380E+02 0.286E+02
DAV: 44 -0.325143523492E+03 0.24642E+03 -0.84495E+03 1920 0.244E+02 0.158E+02
DAV: 45 -0.119085321979E+04 -0.86571E+03 -0.24749E+04 1912 0.343E+02 0.262E+02
DAV: 46 -0.160590425901E+04 -0.41505E+03 -0.40687E+04 1832 0.463E+02 0.405E+02
DAV: 47 -0.155568698626E+04 0.50217E+02 -0.42275E+04 1800 0.489E+02 0.423E+02
DAV: 48 -0.971610188193E+03 0.58408E+03 -0.29611E+04 1776 0.508E+02 0.268E+02
DAV: 49 -0.425467291978E+03 0.54614E+03 -0.10488E+04 1872 0.317E+02 0.230E+02
DAV: 50 -0.545969303122E+03 -0.12050E+03 -0.12704E+04 1920 0.240E+02 0.240E+02
DAV: 51 -0.202495766452E+04 -0.14790E+04 -0.43619E+04 1760 0.452E+02 0.326E+02
DAV: 52 -0.164634453840E+04 0.37861E+03 -0.48251E+04 1760 0.568E+02 0.426E+02
DAV: 53 -0.121212517048E+04 0.43422E+03 -0.34326E+04 1720 0.485E+02 0.364E+02
DAV: 54 -0.439989522945E+03 0.77214E+03 -0.12232E+04 1840 0.314E+02 0.195E+02
DAV: 55 -0.181057940355E+03 0.25893E+03 -0.56962E+03 1920 0.194E+02 0.164E+02
DAV: 56 -0.888708076887E+03 -0.70765E+03 -0.16474E+04 1920 0.304E+02 0.244E+02
DAV: 57 -0.222140180673E+04 -0.13327E+04 -0.49853E+04 1752 0.498E+02 0.318E+02
DAV: 58 -0.163079814967E+04 0.59060E+03 -0.49201E+04 1768 0.581E+02 0.449E+02
DAV: 59 -0.101590617798E+04 0.61489E+03 -0.29019E+04 1664 0.458E+02 0.352E+02
DAV: 60 -0.325113745933E+03 0.69079E+03 -0.88971E+03 1912 0.281E+02 0.193E+02
DAV: 61 -0.245350645004E+03 0.79763E+02 -0.66068E+03 1912 0.193E+02 0.166E+02
DAV: 62 -0.146072498899E+04 -0.12154E+04 -0.29009E+04 1808 0.421E+02 0.316E+02
DAV: 63 -0.188840803439E+04 -0.42768E+03 -0.46783E+04 1760 0.499E+02 0.359E+02
DAV: 64 -0.169652723820E+04 0.19188E+03 -0.49387E+04 1760 0.608E+02 0.424E+02
DAV: 65 -0.746777875149E+03 0.94975E+03 -0.21963E+04 1664 0.421E+02 0.336E+02
DAV: 66 -0.242871533833E+03 0.50391E+03 -0.67565E+03 1920 0.263E+02 0.182E+02
DAV: 67 -0.603315525877E+03 -0.36044E+03 -0.11978E+04 1904 0.222E+02 0.217E+02
DAV: 68 -0.187086186492E+04 -0.12675E+04 -0.42574E+04 1776 0.436E+02 0.449E+02
DAV: 69 -0.146538774948E+04 0.40547E+03 -0.40846E+04 1768 0.458E+02 0.421E+02
DAV: 70 -0.153474709892E+04 -0.69359E+02 -0.42976E+04 1808 0.576E+02 0.340E+02
DAV: 71 -0.564772387737E+03 0.96997E+03 -0.15880E+04 1744 0.378E+02 0.287E+02
DAV: 72 -0.315942788920E+03 0.24883E+03 -0.82742E+03 1920 0.243E+02 0.158E+02
DAV: 73 -0.120893583779E+04 -0.89299E+03 -0.25034E+04 1888 0.354E+02 0.262E+02
DAV: 74 -0.161887233038E+04 -0.40994E+03 -0.41033E+04 1824 0.469E+02 0.393E+02
DAV: 75 -0.155378200620E+04 0.65090E+02 -0.42325E+04 1784 0.488E+02 0.429E+02
DAV: 76 -0.934375960882E+03 0.61941E+03 -0.28621E+04 1760 0.498E+02 0.267E+02
DAV: 77 -0.408932929852E+03 0.52544E+03 -0.10217E+04 1848 0.311E+02 0.222E+02
DAV: 78 -0.573032754679E+03 -0.16410E+03 -0.13131E+04 1920 0.237E+02 0.251E+02
DAV: 79 -0.204137125830E+04 -0.14683E+04 -0.44071E+04 1760 0.459E+02 0.333E+02
DAV: 80 -0.165647407655E+04 0.38490E+03 -0.48546E+04 1768 0.570E+02 0.423E+02
DAV: 81 -0.120999847553E+04 0.44648E+03 -0.34357E+04 1728 0.485E+02 0.368E+02
DAV: 82 -0.442890479996E+03 0.76711E+03 -0.12287E+04 1856 0.317E+02 0.206E+02
DAV: 83 -0.182117049679E+03 0.26077E+03 -0.57368E+03 1904 0.196E+02 0.169E+02
DAV: 84 -0.871637177997E+03 -0.68952E+03 -0.16158E+04 1912 0.304E+02 0.238E+02
DAV: 85 -0.223687792087E+04 -0.13652E+04 -0.49972E+04 1752 0.498E+02 0.328E+02
DAV: 86 -0.163018171326E+04 0.60670E+03 -0.49260E+04 1768 0.580E+02 0.456E+02
DAV: 87 -0.101606304755E+04 0.61412E+03 -0.28963E+04 1696 0.455E+02 0.346E+02
DAV: 88 -0.320381358612E+03 0.69568E+03 -0.88610E+03 1896 0.279E+02 0.193E+02
DAV: 89 -0.249536357295E+03 0.70845E+02 -0.66296E+03 1920 0.192E+02 0.167E+02
DAV: 90 -0.152126073610E+04 -0.12717E+04 -0.30432E+04 1792 0.428E+02 0.345E+02
DAV: 91 -0.186568679717E+04 -0.34443E+03 -0.46573E+04 1760 0.497E+02 0.378E+02
DAV: 92 -0.173128355515E+04 0.13440E+03 -0.50156E+04 1792 0.612E+02 0.415E+02
DAV: 93 -0.745757775167E+03 0.98553E+03 -0.21855E+04 1688 0.422E+02 0.336E+02
DAV: 94 -0.243566600940E+03 0.50219E+03 -0.66308E+03 1912 0.263E+02 0.187E+02
DAV: 95 -0.606102655737E+03 -0.36254E+03 -0.12085E+04 1920 0.219E+02 0.214E+02
DAV: 96 -0.189396690883E+04 -0.12879E+04 -0.43000E+04 1760 0.436E+02 0.442E+02
DAV: 97 -0.149263729181E+04 0.40133E+03 -0.41560E+04 1784 0.460E+02 0.429E+02
DAV: 98 -0.153973046532E+04 -0.47093E+02 -0.43474E+04 1800 0.579E+02 0.347E+02
DAV: 99 -0.551812726648E+03 0.98792E+03 -0.15459E+04 1728 0.379E+02 0.288E+02
DAV: 100 -0.283975603543E+03 0.26784E+03 -0.77171E+03 1920 0.236E+02 0.159E+02
DAV: 101 -0.125140804463E+04 -0.96743E+03 -0.25512E+04 1880 0.322E+02 0.266E+02
DAV: 102 -0.161530199512E+04 -0.36389E+03 -0.41173E+04 1816 0.464E+02 0.413E+02
DAV: 103 -0.158053391475E+04 0.34768E+02 -0.43003E+04 1760 0.488E+02 0.427E+02
DAV: 104 -0.914739225584E+03 0.66579E+03 -0.28248E+04 1720 0.498E+02 0.261E+02
DAV: 105 -0.378055978659E+03 0.53668E+03 -0.93302E+03 1880 0.304E+02 0.226E+02
DAV: 106 -0.570281615573E+03 -0.19223E+03 -0.13020E+04 1920 0.232E+02 0.257E+02
DAV: 107 -0.215356731291E+04 -0.15833E+04 -0.46037E+04 1760 0.481E+02 0.332E+02
DAV: 108 -0.166094868069E+04 0.49262E+03 -0.49157E+04 1776 0.571E+02 0.419E+02
DAV: 109 -0.121518000412E+04 0.44577E+03 -0.34596E+04 1704 0.482E+02 0.369E+02
DAV: 110 -0.408713571304E+03 0.80647E+03 -0.11592E+04 1872 0.310E+02 0.202E+02
DAV: 111 -0.140352483070E+03 0.26836E+03 -0.49197E+03 1920 0.191E+02 0.167E+02
DAV: 112 -0.867406876232E+03 -0.72705E+03 -0.14930E+04 1920 0.274E+02 0.226E+02
DAV: 113 -0.236897537453E+04 -0.15016E+04 -0.52708E+04 1736 0.495E+02 0.338E+02
DAV: 114 -0.159478331412E+04 0.77419E+03 -0.48912E+04 1760 0.590E+02 0.465E+02
DAV: 115 -0.104790718132E+04 0.54688E+03 -0.29457E+04 1680 0.459E+02 0.340E+02
DAV: 116 -0.310268928428E+03 0.73764E+03 -0.87747E+03 1912 0.276E+02 0.198E+02
DAV: 117 -0.189497778008E+03 0.12077E+03 -0.55868E+03 1920 0.190E+02 0.135E+02
DAV: 118 -0.123576871077E+04 -0.10463E+04 -0.23734E+04 1848 0.369E+02 0.263E+02
DAV: 119 -0.196210419562E+04 -0.72634E+03 -0.46887E+04 1760 0.499E+02 0.356E+02
DAV: 120 -0.167007399551E+04 0.29203E+03 -0.48966E+04 1760 0.595E+02 0.424E+02
DAV: 663 -0.176735270351E+04 -0.21269E+03 -0.45127E+04 1760 0.491E+02 0.389E+02
DAV: 664 -0.169854098230E+04 0.68812E+02 -0.48674E+04 1776 0.610E+02 0.380E+02
DAV: 665 -0.726516354394E+03 0.97202E+03 -0.21221E+04 1680 0.419E+02 0.323E+02
DAV: 666 -0.251504165724E+03 0.47501E+03 -0.68586E+03 1920 0.262E+02
1 F= -.25329242E+03 E0= -.25329200E+03 d E =-.841217E-03


The POSCAR is as followed:

d-3.146
1.00000000000000
3.2200000285999999 0.0000000000000000 0.0000000000000000
-1.6100000142999999 2.7886018250000002 0.0000000000000000
0.0000000000000000 0.0000000000000000 12.7849998474000000
2 2 2
Direct
0.6665813963506879 0.3332912274196208 0.6195375903583954
0.9998994150894799 0.9999464577103427 0.1188096545284103
0.3332433985095536 0.6666331938259792 0.4996295083363696
0.6665617983486530 0.3332843409979041 0.9988809275567113
0.3332428334881929 0.6666101246217108 0.7535533561623466
0.6665611682134234 0.3332846984244425 0.2527888780577646

0.00000000E+00 0.00000000E+00 0.00000000E+00
0.00000000E+00 0.00000000E+00 0.00000000E+00
0.00000000E+00 0.00000000E+00 0.00000000E+00
0.00000000E+00 0.00000000E+00 0.00000000E+00
0.00000000E+00 0.00000000E+00 0.00000000E+00
0.00000000E+00 0.00000000E+00 0.00000000E+00

Any suggestions! I'm pussled by this problems for long time! But I don't know how to deal with it. Best wishes!
User avatar
VASP001
Jr. Member
Jr. Member
 
Posts: 70
Joined: Tue Oct 27, 2009 2:56 pm
Location: Hefei National Laboratory for Physical Sciences at the Microscale

Re: Energy is not converged with HSE06 under polarized-syste

Postby alex » Tue Sep 12, 2017 8:42 am

Hi there,

try playing with this set of parameters:

AMIX = 0.2 ! linear mixing parameter
BMIX = 0.01 ! cutoff wave vector for Kerker mixing scheme
AMIX_MAG = 0.8
BMIX_MAG = 0.01
NELM = 500 ! Maximum number of electronic SC steps
NELMDL = -20 ! Number of NON-selfconsistency steps (negative value: delay only for the start-configuration)

Hth,

alex
alex
Sr. Member
Sr. Member
 
Posts: 477
Joined: Tue Nov 16, 2004 2:21 pm
Location: Germany

Re: Energy is not converged with HSE06 under polarized-syste

Postby VASP001 » Thu Sep 21, 2017 12:38 pm

Thank you! I will try it!

Thank you for your reply!
User avatar
VASP001
Jr. Member
Jr. Member
 
Posts: 70
Joined: Tue Oct 27, 2009 2:56 pm
Location: Hefei National Laboratory for Physical Sciences at the Microscale

Re: Energy is not converged with HSE06 under polarized-syste

Postby VASP001 » Fri Sep 22, 2017 11:58 pm

It doesn't work!

DAV: 434 -0.341591816653E+04 0.13190E+04 -0.91552E+04 1776 0.965E+02 0.273E+02
DAV: 435 -0.210510970212E+04 0.13108E+04 -0.42355E+04 1908 0.599E+02 0.365E+02
DAV: 436 -0.359384485073E+04 -0.14887E+04 -0.68214E+04 1920 0.517E+02 0.388E+02
DAV: 437 -0.461768333153E+04 -0.10238E+04 -0.10427E+05 1860 0.719E+02 0.321E+02
DAV: 438 -0.350533241748E+04 0.11124E+04 -0.93025E+04 1776 0.951E+02 0.276E+02
DAV: 439 -0.209716614577E+04 0.14082E+04 -0.42289E+04 1872 0.603E+02 0.367E+02
DAV: 440 -0.350300209333E+04 -0.14058E+04 -0.66525E+04 1908 0.502E+02 0.385E+02
DAV: 441 -0.468082631433E+04 -0.11778E+04 -0.10493E+05 1764 0.719E+02 0.317E+02
DAV: 442 -0.344441615559E+04 0.12364E+04 -0.92650E+04 1788 0.992E+02 0.270E+02
DAV: 443 -0.212865870754E+04 0.13158E+04 -0.42781E+04 1884 0.604E+02 0.365E+02
DAV: 444 -0.357131633788E+04 -0.14427E+04 -0.67778E+04 1908 0.515E+02 0.385E+02
DAV: 445 -0.462997127499E+04 -0.10587E+04 -0.10454E+05 1848 0.719E+02 0.313E+02
DAV: 446 -0.350487170183E+04 0.11251E+04 -0.93298E+04 1788 0.967E+02 0.277E+02
DAV: 447 -0.207506329699E+04 0.14298E+04 -0.41681E+04 1884 0.593E+02 0.361E+02
DAV: 448 -0.355320852994E+04 -0.14781E+04 -0.67303E+04 1920 0.508E+02 0.385E+02
DAV: 449 -0.466362959613E+04 -0.11104E+04 -0.10498E+05 1788 0.722E+02 0.320E+02
DAV: 450 -0.345705936665E+04 0.12066E+04 -0.92376E+04 1764 0.979E+02 0.279E+02
DAV: 451 -0.212212227428E+04 0.13349E+04 -0.42666E+04 1908 0.603E+02 0.367E+02
DAV: 452 -0.357718485238E+04 -0.14551E+04 -0.67966E+04 1920 0.517E+02 0.385E+02
DAV: 453 -0.459744143861E+04 -0.10203E+04 -0.10381E+05 1812 0.715E+02 0.315E+02
DAV: 454 -0.347678174450E+04 0.11207E+04 -0.92534E+04 1776 0.970E+02 0.269E+02
DAV: 455 -0.209171710994E+04 0.13851E+04 -0.42016E+04 1908 0.599E+02 0.361E+02
DAV: 456 -0.357849398756E+04 -0.14868E+04 -0.67889E+04 1908 0.515E+02 0.389E+02

alex wrote:Hi there,

try playing with this set of parameters:

AMIX = 0.2 ! linear mixing parameter
BMIX = 0.01 ! cutoff wave vector for Kerker mixing scheme
AMIX_MAG = 0.8
BMIX_MAG = 0.01
NELM = 500 ! Maximum number of electronic SC steps
NELMDL = -20 ! Number of NON-selfconsistency steps (negative value: delay only for the start-configuration)

Hth,

alex
User avatar
VASP001
Jr. Member
Jr. Member
 
Posts: 70
Joined: Tue Oct 27, 2009 2:56 pm
Location: Hefei National Laboratory for Physical Sciences at the Microscale

Re: Energy is not converged with HSE06 under polarized-syste

Postby VASP001 » Sat Sep 23, 2017 12:32 pm

It does not work! The energy is still very high.


alex wrote:Hi there,

try playing with this set of parameters:

AMIX = 0.2 ! linear mixing parameter
BMIX = 0.01 ! cutoff wave vector for Kerker mixing scheme
AMIX_MAG = 0.8
BMIX_MAG = 0.01
NELM = 500 ! Maximum number of electronic SC steps
NELMDL = -20 ! Number of NON-selfconsistency steps (negative value: delay only for the start-configuration)

Hth,

alex
User avatar
VASP001
Jr. Member
Jr. Member
 
Posts: 70
Joined: Tue Oct 27, 2009 2:56 pm
Location: Hefei National Laboratory for Physical Sciences at the Microscale

Re: Energy is not converged with HSE06 under polarized-syste

Postby alex » Tue Sep 26, 2017 11:34 am

Hi there,

sorry to hear. Please check also the structure. Is it ok? Are there two atoms on the same position? Is the cell size right? And so on.
You may also change the mixing parameters.

Cheers,

alex
alex
Sr. Member
Sr. Member
 
Posts: 477
Joined: Tue Nov 16, 2004 2:21 pm
Location: Germany


Return to Physics questions

Who is online

Users browsing this forum: No registered users and 2 guests