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[×ÊÔ´] ³õѧVASP(Ò») what's it?

Ê×ÏȽéÉܲο¼Îĵµ
ftp://10.76.120.7/pub/Èí¼þʹÓýéÉÜ/VASP.pdf
http://cms.mpi.univie.ac.at/vasp/vasp/vasp.html

VASP = Vienna Ab-initio Simulation Package

VASP is a complex package for performing ab-initio quantum-mechanical
molecular dynamics (MD) simulations using pseudopotentials (È糬ÈíØÍÊÆUS-PP)
or the projector-augmented wave (PAW) method and a plane wave basis set.

The approach implemented in VASP is based on the (finite-temperature)
local-density approximation with the free energy as variational quantity
and an exact evaluation of the instantaneous electronic ground state at
each MD time step.

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INCAR(×÷ҵϸ½Ú) POSCAR(ÌåÏµ×ø±ê) POTCAR(ØÍÊÆ) KPONITS(k¿Õ¼äÃèÊö)

[ Last edited by wuli8 on 2009-6-13 at 21:28 ]
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³õѧVASP(Îå) ØÍÊÆ¡¤Ñ¡Ôñ

POTCAR ØÍÊÆÎļþ

¿ÉÒÔÀí½âΪ·Ö×ÓÁ¦Ñ§Ä£ÄâÖеÄÁ¦³¡Îļþ µ«°üÀ¨µÄÐÅÏ¢¸ü¶à
VASP4.6½«¸÷ÔªËØÓÅ»¯µÄINCARÀïµÄ²ÎÊýÒ²°üÀ¨ÔÚÕâÀïÁË£¬×÷Ϊ֧³ÖPRECµÄȱʡѡÔñ
ͨ³£¸÷ÔªËØµÄPOTCARÒѾ­°üÀ¨ÔÚÈí¼þ°üÀïÁË
ÎÒÃÇÖ»ÐèÒª°´ÕÕPOSCARÀïµÄ˳Ðò£¬½«¸÷ÔªËØµÄPOTCAR°´Ë³ÐòÁ¬½ÓÆðÀ´¾Í¿ÉÒÔÁË
ÈçÒÔÏÂÃüÁ
cat file1 file2 file3 > POTCAR

Èí¼þ°ü×Ô´øµÄ¾ø´ó¶àÊýØÍÊÆÊdz¬ÈíØÍÊÆ£¨US-PP£©ÁË£¬µ«²»ÉÙÔªËØÓÐÁ½¸ö°æ±¾£¬ÈçºÎ
Ñ¡È¡ÄØ£¿
Ò»¸ö¼òµ¥µÄ°ì·¨ÊÇ¿´ºó׺
±ê×¼µÄûÓкó׺ _h Ó²Ò»µã _s ÈíÒ»µã
_pv,_sv,_d ¾ÍÊÇ˵semi-coreµÄp,s»òÕßdÒ²µ±×ö¼Û̬´¦ÀíÁË
Èç¹ûÊÇÊý×ֵϰ£¬±íʾµÄ¿ÉÄÜÊDz»Í¬µÄ°ë¾¶½Ø¾à

Ò²¿ÉÒԲο¼¸÷°æ±¾Í¬Ä¿Â¼ÏµÄV_RHFIN file £¬PSCTR file
ÕâÁ½¸öÎļþ¸æÖª¸Ã°æ±¾µÄØÍÊÆÊÇÈçºÎÉú³ÉµÄ¡£±ÈÈ磺
V_RHFIN file
Sc: 6p d2 s1
    8  21.   .002000  44.95590 125.   .25E-05 .300  200FCA 12.00000
   .7  1.0   0
  1.0   .0   .5 -320.8847 2.0000
  2.0   .0   .5  -34.4217 2.0000
  2.0  1.0  1.5  -28.2366 6.0000
  3.0   .0   .5   -3.7944 2.0000
  3.0  1.0  1.5   -2.2591 6.0000
  3.0  2.0  2.5    -.1113 2.0000
  4.0   .0   .5    -.2699 1.0000
  4.0  3.0  2.5    -.1000  .0000
µÚÒ»ÐÐÊÇ×¢ÊÍÐÐ ¸ø³ö»ù±¾µÄÐÅÏ¢
µÚ¶þÐÐÊÇ×îÖØÒªµÄ¿ØÖÆÐÐ
    8  21.   .00 2000  44.95590 125.   .25E-05 .300  200 F CA 12.00000
    J   Z   XION    N  AM         H    DELRVR   PHI  NC1 | CH QCOR
                                                         |
                                                     GREEN

J - ¹ìµÀÊý  Z - Ô­×ÓÐòÊý    XION - Àë×Ó»¯³Ì¶È Ò»°ãÉèΪ0 N - ¸ñµãÊý
AM - Ô­×ÓÖÊÁ¿   H - ¾ö¶¨¸ñµã¼ä¾à    DELRVR - ×ÔÇ¢ÊÕÁ²±ê×¼
PHI - ÏßÐÔÄâºÏ²ÎÊý NC1 - ×î´ó×ÔǢѭ»·´ÎÊý GREEN - ÊÇ·ñ´æÔÚ³õʼµÄÊÆ
CH - ½»»»Ïà¹ØÄÜ(XC)ÀàÐÍ
      Slater-XC
    HL Hedin Lundquist (1971)
    CA Ceperly and Alder parameterized by J.Perdew and Zunger
    WI Wigner interpolation
    PB Perdew -Becke
    PW Perdew -Wang 86
    LM Langreth-Mehl-Hu
    91 Perdew -Wang 91
QCOR - ·Ç¼Û¼üµç×ÓÊý£¨core electrons£©
µÚÈýÐпªÊ¼ÊÇÿ¸ö¹ìµÀµÄ¾ßÌå²ÎÊý£¬ÒÀ´ÎΪ
n l j(=l¡À1/2) Ô­×Ó¹ìµÀÄÜ Õ¼ÓÐÂÊ

PSCTR file of LDA/H1.25
   TITEL  = US H
   LULTRA =    T    use ultrasoft PP ?
   RWIGS  =    0.57  nn distance ! Wigner-Seitz radius

   RCLOC  =   .65
   NE     =   100
   LCOR   =   .TRUE.
   QCUT   =   -1
   RMAX   = 3.0 ! core radius for proj-oper

   Description
l     E      TYP RCUT    TYP  RCUT(cutoff radius)
0   0         15   0.80  23   1.25
0   0.5       15   0.80  23   1.25
1  -0.2       15   0.80  23   1.25
×îÖØÒªµÄµØ·½ÉÏÃæÒѾ­ÓÃÑÕÉ«±ê³öÀ´À²£º£©
˵Ã÷һϣ¬TYPÊÇÖ¸ØÍÊÆµÄÀàÐÍ,RCUTÊǰ뾶½Ø¾à£¬TYP¿ÉÈ¡µÄÖµÈçÏ£º
ÕýÔò
1 BHS
2 TM
3 VAN
6 XNC
7 RRKJ wave function possibly with node
15 RRKJ wave function strictly no node
·ÇÕýÔò +8

×îºóÒ»¸öÎÊÌâÊÇLDA or GGA¡£Ã²ËÆÃ»Óж¨ÂÛĿǰ¡£
Õâ¸ö×îºÃÊÇÁ½¸öÒ»Æð×ö×ö¿´À²¡£»òÕß¿´ÎÄÏ×±ðÈËÑéÖ¤¹ýÄĸöÊý¾ÝºÃ¡£
Æäʵ¾Ý˵Ŀǰ×îºÃµÄÊÇPAW(P.E.Blochl,Phys.Rev.B 50,17953(1994).,Phys.Rev.B 59,
1758(1999).)£¬PPÒѾ­ÂäÎéÁË£¬²»¹ýºÃÏñÎÒÃÇÓõÄVASP²»´øÕâ¸ö£¬¾Í²»Õ¹¿ªÌÖÂÛÁË¡£

[ Last edited by zzgyb on 2008-1-27 at 14:42 ]
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³õѧVASP(¶þ) ²¼ÀïºÕ¶¨Àí

±¾Îļòµ¥½éÉܵãÄÜ´øÀíÂ۵Ļù´¡ÖªÊ¶ ÒÔÀûÓÚºóÎÄÌÖÂÛ

²¼ÀïºÕ(F.Bloch) ²Î¿¼Ê飺¡¶¹ÌÌåÄÜ´øÀíÂÛ¡·Ð»Ï£µÂ ½¶° Ö÷±à

Bloch¶¨Àí

ÖÜÆÚÐÔÊÆ³¡µÄµ¥µç×ÓѦ¶¨ÚÌ·½³ÌµÄ·Ç¼ò²¢½âºÍÊʵ±Ñ¡Ôñ×éºÏϵÊýµÄ¼ò²¢½âͬʱ
ÊÇÆ½ÒÆËã·ûT(Rl)µÄÊôÓÚ±¾Õ÷Öµexp(ik¡¤Rl)µÄ±¾Õ÷º¯Êý

Êýѧ±íʾ£º
T(Rl)¦×n(k£¬r) = ¦×n(k£¬r+Rl) = exp(ik¡¤Rl)¡¤¦×n(k£¬r)

¦×n(k£¬r)³ÆÎªBlochº¯Êý£¬ÓÃËüÃèдµÄµç×ÓÒ²³ÆÎª²¼ÀïºÕµç×Ó

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¾§¸ñµç×Ó¿ÉÓÃͨ¹ý¾§¸ñÖÜÆÚÐÔµ÷·ùµÄÆ½Ãæ²¨±íʾ¡£ÓÉ´ËÎÒÃÇÖªµÀkµÄÎïÀíÒâÒå ²¨Ê¸

ÍÆÂÛ¶þ£º
ÈôKm¡¤Rl = 2n¦Ð£¬¼´KmΪµ¹¸ñʸ£¬ÄÇô
¦×n(k£¬r) = ¦×n(k+Km£¬r)

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²¼ÀïÔ¨Çø(Brillouin£¬Ã»´í£¬¾ÍÊÇÁ¿»¯¿ÎÉÏCI·½·¨ÖÐ×îÖØÒªµÄ»ùʯBrillouin¶¨ÀíµÄÄÇλ
)ÔÚ²¼ÀïÔ¨Çø£¬¶ÔÓÚÿ¸ön,En(k)ÊÇÒ»¸ökµÄÁ¬Ðø¡¢¿ÉÇø·Ö(·Ç¼ò²¢Çé¿ö)µÄº¯Êý£¬³ÆÎªÄÜ´ø
£¬ËùÓеÄÄÜ´ø³ÆÎªÄÜ´ø½á¹¹¡£

ok ÄÇôʵ¼ÊÉÏVASPµÄ¼ÆËã¾ÍÊÇÀûÓÃÒÔÉ϶¨Àí£¬Í¨¹ýTËã·ûµÄ±ä»»£¬½«Êµ¿Õ¼ä(r¿Õ¼ä)ºÍ¶¯
Á¿¿Õ¼ä(k¿Õ¼ä)ÁªÏµÆðÀ´£¬ÀûÓþ§¸ñµÄÖÜÆÚÐÔ¼ò»¯¼ÆË㣬ËùÒÔÔÚºóÃæµÄÌÖÂÛÖн«³£³öÏÖ
band,k-points,projectors in real spaceµÈ¸ÅÄî¡£

[ Last edited by zzgyb on 2008-1-27 at 14:39 ]
2Â¥2008-01-27 14:37:26
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³õѧVASP(Èý) ÃèÊöÔ­×Ó×ø±ê

POSCAR = position + CAR

µÚ1ÐУºÈÎÒâÎÄ×Ö×¢ÊÍ

µÚ2ÐУº¾§¸ñ³£Êý£¬µ¥Î»A£¬ºóÃæËùÓеij¤¶ÈÖµµÃ×ÔÔ­Öµ³ýÒÔ´ËÖµ
a=b=cʱȡa¼´¿É£¬·ñÔò¸öÈËϰ¹ßÈ¡ÈýÕß×î´ó
ÈôÈ¡¸ºÖµ£¬ÔòΪ¾§°ûÌå»ý£¬µ¥Î»A3

µÚ3-5ÐУº¶¨Ò徧ʸ ²Î¼û¡¶¹ÌÌåÁ¿×Ó»¯Ñ§¡ª¡ª²ÄÁÏ»¯Ñ§µÄÀíÂÛ»ù´¡¡·ÕԳɴó

Èç ¶ÔÓÚÕý½»¾§Ìå a=20.022 b=19.899 c=13.383 ¦Á=¦Â=¦Ã=90
¿ÉÒÔÕâÑù¶¨Òå
20.022
1.00000 0.00000 0.00000
0.00000 0.99386 0.00000
0.00000 0.00000 0.66841
ÓÖÈç ¶ÔÓÚÃæÐÄÁ¢·½¾§Ìå a=b=c=3.57 ¦Á=¦Â=¦Ã=90
¿ÉÒÔ¶¨ÒåÈçÏÂ
3.57
0.0 0.5 0.5   (1/2(b+c))
0.5 0.0 0.5   (1/2(a+c))
0.5 0.5 0.0   (1/2(a+b))

µÚ6ÐУºÃ¿ÖÖÔªËØµÄÔ­×ÓÊý£¬Ìرð×¢Òâ˳Ðò,ÒªÓëÏÂÃæµÄ×ø±ê˳ÐòÒÔ¼°POTCARÖÐ
µÄ˳ÐòÒ»ÖÂ

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×ö¶¯Á¦Ñ§Ê±£¬ÊÇ·ñÐèÒª¹Ì¶¨²¿·ÖÀë×ÓµÄ×ø±ê¡£ÈôÊÇ£¬´ËÐÐÒÔ'S'»òÕß's'Ê××Ö¼´¿É¡£

µÚ8ÐпªÊ¼ÎªÀë×ÓµÄ×ø±ê£¬¸ñʽΪ
option line
coordinate1 of element1
coordinate2 of element1
...
coordinateN of element1
option line
coordinate1 of element2
coordinate2 of element2
...
coordinateM of element2
...
ÆäÖУ¬option lineÖ¸¶¨ÊäÈë×ø±êµÄ¸ñʽ£¬³ýÁ˵ÚÒ»¸öÒÔÍ⣬Èç¹ûºóÃæµÄÊäÈë¸ñʽͬǰ£¬
Ôò¶¼¿ÉÒÔÎÞ¿ÕÐÐÊ¡ÂÔ¡£
option line¿ÉÖ¸¶¨µÄÊäÈë×ø±ê¸ñʽÓÐÁ½ÖÖ
'D'or'd' for direct mode
'C'or'c'or'K'or'k' for cartesian mode
¹ËÃû˼Ò壬ǰÕßÊǶ¨ÒåÔÚÈý¸ö¾§Ê¸·½ÏòÉϵÄ×ø±ê
R=R1¡Áx+R2¡Áy+R3¡Áz R1,R2,R3ÎªÇ°ÃæµÄ¾§Ê¸£¬x,y,zΪÊäÈëµÄÈý¸ö×ø±ê£¬RÎª×ø±êλʸ
¶øºóÕßÖ»ÊǼòµ¥µÄ½«Ö±½Ç×ø±ê³ýÒÔÇ°ÃæµÚ¶þÐж¨ÒåµÄ¾§°û³£Êý
Á½Õß¿ÉÒÔ»ìÓ㬵«²»ÍƼö¡£

Èç¹ûµÚ7ÐÐÉ趨ÁËS(Selective Dynamic),Ôò¿ÉÒÔÓÃÒÔÏÂÐÎʽ¶¨Òå¸÷×ø±êÊÇ·ñ¿ÉÒÔÒÆ¶¯
Selective dynamics
Cartesian
0.00 0.00 0.00 T T F
0.25 0.25 0.25 F F F

[ Last edited by zzgyb on 2008-1-27 at 14:40 ]
3Â¥2008-01-27 14:37:44
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³õѧVASP(ËÄ) kµãµÄÑ¡Ôñ

ÈçǰËùÊö
The Bloch theorem changes the problem of calculating an infinite number of
electronic wavefucntions to one of calculating a finite number of
wavefunctions at an infinite number of k-points. (²Î¼ûCASTEPµÄ°ïÖúÎĵµ£¬ËûºÍ
VASPÊÇÇ×ÐÖµÜ)¡£

ËùÒÔÄØ£¬Ò»°ãÀ´Ëµ£¬kµãÔ½ÃÜÔ½¶à£¬¼ÆË㾫¶ÈÒ²Ô½¸ß£¬µ±È»¼ÆËã³É±¾Ò²Ô½¸ß¡£
àÅ£¬¶ÔÓÚkµãµÄÐèÇ󣬽ðÊô>>°ëµ¼Ì壬¾øÔµÌ壬²»¹ýÄØ£¬ºÜ¶àʱºòÖ÷Òª»¹ÊÇÊÜÓ²¼þÏÞÖÆ
¼òÔ¼»¯¿ÉÒÔʹkµãµÄÊýÄ¿´ó´óϽµ¡£¶ÔÓÚÔ­×ÓÊý½Ï¶àµÄÌåϵµÄ¼ÆË㣬¾ÍÐèÒª½÷É÷µÄ³¢ÊÔ  
kµãÊýÄ¿£¬ÔÚ±ÜÃâ»òÕßÔ¤ÏÈÆÀ¹Àwrap-around errorµÄǰÌáϾ¡Á¿¼õÉÙkµãÊýÄ¿¡£

ÁíÒ»¸öÎÊÌâÊÇk¿Õ¼äÍø¸ñ(k-points grid)µÄλÖúÍÐÎ×´£¬
ÊÇ·ñ°üÀ¨§¤µã(Gammaµã£¬Ò²¿ÉÀí½âΪԭµã)£¿(Ò»°ã²»°üÀ¨µÄ»°ºÜ¿ÉÄÜ»á´øÀ´Îó²î£¬ÓÈÆä
ÊÇʹÓÃÁËtetrahedron·½·¨µÄʱºò¡£ÔÝʱ»¹²»ÖªµÀ²»°üÀ¨µÄºÃ´¦£¬ÎªÁ˼õÉÙkµã£¿)
·½ÐΣ¿ÏßÐΣ¿»¹Êdz¤·½ÐΣ¿»òÕ߯æÐιÖ×´£¿ £º£©

ºóÎÄÁíÊö¡£ÄÇôÏÖÔÚÀ´¿´¿´KPOINTS fileµÄ½á¹¹£º

Line1: comment line ×¢ÊÍÐÐ no problem

Line2: kµã×ÜÊý »òÕß '0'×Ô¶¯Éú³ÉÍø¸ñ(Automatic k-mesh generation)

Èç¹ûÊÇǰÕߣ¬¸ø³ökµã×ÜÊý£¬ÓÖ·ÖÁ½ÖÖÇé¿ö

M.È«ÊÖ¶¯ Entering all k-points explicitly
Line3: ÊäÈë¸ñʽ±êʶ¡£Ö±½Ç×ø±ê (Cartesian)»òÕß µ¹¸ñ×ø±ê£¨Reciprocal£©
    ͬÑùµÄ 'cCkK' for Cartesian£¬ÆäËûÊ××ÖĸÔò×Ô¶¯Çл»µ½ Reciprocal
Line4-n: Öð¸ökµãµÄÃèÊö¡£ ¸ñʽΪ x y z W¡£ xyzÊÇÈý¸ö×ø±ê£¬WÊÇÈ¨ÖØ¡£ËùÓÐkµãµÄȨ
    ÖØÏ໥֮¼äµÄ±ÈÀý¶ÔÁ˾ÍÐУ¬VASP»á×Ô¶¯¹éÒ»µÄ
×¢ÒâC×ø±êºÍR×ø±êµÄ¶¨Òå
C: k=(2¦Ð/a)(x y z) R: k=x*b1+y*b2+z*b3 b1-3Ϊµ¹¸ñ»ùʸ
£¨ÕâÀïÎÒÃÇ¿´µ½xyzÖ»ÊÇ´ú±íÁË×ø±êµÄ˳Ðò£¬Óë×ø±êÖáÎ޹أ©
±ÈÈçһЩ³£Óõĸ߶ԳÆÐÔµãµÄCºÍR×ø±ê£º
Point   Cartesian coordinates   Reciprocal coordinates
        (units of 2pi/a)        (units of b1,b2,b3)
------------------------------------------------------
G          (  0   0   0  )          (  0   0   0   )
X          (  0   0   1  )          ( 1/2 1/2  0   )
W          ( 1/2  0   1  )          ( 1/2 3/4 1/4  )
K          ( 3/4 3/4  0  )          ( 3/8 3/8 3/4  )
L          ( 1/2 1/2 1/2 )          ( 1/2 1/2 1/2  )
ÊäÈëʾÀý£º
Example file
4
Cartesian
0.0  0.0  0.0   1.
0.0  0.0  0.5   1.
0.0  0.5  0.5   2.
0.5  0.5  0.5   4.

Ò»°ãÈç·Ç±ØÒª£¬¿ÉÒÔÏÈÓÃ×Ô¶¯Ä£Ê½Éú³Ékµã£¬VASP»á×Ô¶¯Éú³ÉÒ»¸ö¼òÔ¼»¯ºóµÄkµã¾ØÕó£¬
´æÓÚIBZKPT file£¬¿ÉÒÔÖ±½Ó¸´ÖÆÀïÃæµÄÊý¾Ýµ½KPOINTS fileÀ´Óã¬ÆäʵÕâÒ²ÊÇÕâ¸öÊäÈë
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ÁíÒ»¸öÓÃ;ÊÇΪÁË×ö¾«È·µÄDOS(Density of status)µÄ¼ÆË㣬ÓÉÓÚÕâÀà¼ÆËãËùÐèkµãÊý¼«
´ó£¬Í¨¹ýÈ«ÊÖ¶¯¾¡¿ÉÄܵÄÓÅ»¯kµãÒ²¾Í±ØÐèÁË¡£

L.°ëÊÖ¶¯/ÏßÐÎģʽ Strings of k-points for bandstructure calculations
¿´µ½À²£¬¶ÔÓÚÄÜ´ø½á¹¹µÄ¼ÆËã£¬Í¬Ç°ÃæµÄÀíÓÉ£¬ÐèÒª¾«È·µÄѡȡkµã£¬ÔÚÖ¸¶¨µÄ¸ß¶Ô³ÆÐÔ
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Line2: Ö¸¶¨Á½µã¼äÉú³ÉµÄkµãÊý ²»Í¬ÓÚÈ«×Ô¶¯µÄ×ÜkµãÊý
Line2.5: 'L' for Line-mode ±íʾÊÇÏßÐÎģʽ
Line3: ÊäÈë¸ñʽ±êʶ¡£Í¬Ç°¡£C or R
Line4-n: ÿÐÐÃèÊöÒ»¸öµã ¸ñʽΪ x y z¡£Ã¿Á½ÐеĵãÁ¬³ÉÒ»Ïߣ¬ÔÚÁ½µã¼äÉú³ÉÖ¸¶¨Êý
Ä¿µÄkµã¡£Ã¿Á½ÐÐÁ½ÐÐÖ®¼äÒÔ¿ÕÐÐÇø·Ö£¨²»¿ÕµÄ»°,VASP¿ÉÄÜÒ²Èϵóö£¬Ã»ÊÔ¹ý£©
±ÈÈ磺
10  ! 10 intersections
Line-mode
rec
  0   0   0   ! gamma
  0.5 0.5 0   ! X

  0.5 0.5 0   ! X
  0.5 0.75 0.25  ! W


ok£¬ÄÇô¸ü³£Óõķ½·¨ÊÇÈÃVASP×Ô¶¯Éú³ÉÍø¸ñ
Line2: 0 £¡number of k-points = 0 ->automatic generation scheme
£¨!ºóÃæ×Ö·ûΪעÊÍ£©
Line3: A for fully automatic or G for §¤/Gamma or M for Monkhorst-Pack
       Èô¶¼²»ÊÇÕâЩÊ××Öĸ£¬Ôò×Ô¶¯Çл»Îª¸ß¼¶Ä£Ê½¡£

A mode È«×Ô¶¯Ä£Ê½£¬¿ÉÒÔ¿´×÷ÒÔ§¤µãΪԲÐÄÒÔlΪ°ë¾¶×öÔ²£¬µ±È»¸÷¾§¸ñʸ²»Í¬Ê±£¬Ïà
Ó¦µÄÔ²¾ÍÀ­³ÉÁËÍÖÔ²£¬À´È·±£Èý¸öµ¹¸ñʸ·½ÏòÉϸ²¸ÇµÄkµãÊýΪl
Line4£ºlength (l)
    Useful values for the length vary between 10 (large gap insulators) and
100 (d-metals).  

½øÒ»²½µÄ×ö·¨ÊÇ·Ö±ðÖ¸¶¨Èý¸öµ¹¸ñʸ·½ÏòÉϵĸñµãÊýN1,N2,N3¡£G mode
Line4: N1 N2 N3
Line5: s1 s2 s3 Æ«ÒÆÔ­µãµÄλʸ Ò»°ãÉè³É 0 0 0 À²¡£

ÒÔ¼°Monkhorst-Pack·¨£¬Éú³ÉµÄ¸ñµã²»°üÀ¨§¤µã£¬´Ó§¤µãÖÜΧ1/2³¤¶È´¦¿ªÊ¼È¡µã¡£
M mode
Line4: N1 N2 N3
Line5: s1 s2 s3 ͬÉÏ

ËùνµÄ¸ß¼¶Ä£Ê½£¬¾ÍÊÇÓÃC×ø±ê»òÕßR×ø±êÖ±½ÓÊäÈëеĻùʸ
Èç
c                      c
0.25 0 0               0.25 0 0
0 0.25 0               0 0.25 0
0 0 0.25               0 0 0.25
0.0 0.0 0.0            0.5 0.5 0.5
·Ö±ðµÈ¼ÛÓÚ
g                      m
4 4 4                  4 4 4
0 0 0                  0 0 0
ÒòΪ´æÔÚÕâÖֵȼ۹ØÏµ£¬ËùÒÔÒ»°ãҲûÓбØÒªÊ¹Óø߼¶Ä£Ê½

ºÃÀ²£¬¾ÍÕâЩ¡£×îºóÌáÐÑÒ»µã£¬VASPµÄ°ïÖúÎĵµÌرðÌáÐÑ£¬¶ÔÓÚÁù·½¾§Ïµ£¬²»ÒªÓÃMÀ´×Ô
¶¯Éú³É¸ñµã£¬¶øÒªÓÃG¡£

¹ØÓÚtetrahedra·½·¨£¬°ïÖúÎĵµËµÓÃÓÚÈ«ÊÖ¶¯Ä£Ê½£¬¿ÉÑ¡¡£¾ßÌåÉ趨ԭÎÄÈçÏ£º
In this case, the next line must start with 'T' or 't' signaling that this
connection list is supplied. On the next line after this 'control line' one
must enter the number of tetrahedra and the volume weight for a single
tetrahedron (all tetrahedra must have the same volume). The volume weight
is simply the ratio between the tetrahedron volume and the volume of the
(total) Brillouin zone. Then a list with the (symmetry degeneration) weight
and the four corner points of each tetrahedron follows (four integers which
represent the indices to the points in the k-point list given above, 1
corresponds to the first entry in the list). Warning: In contrast to the
weighting factors for each k-point you must provide the correct 'volume
weight' and (symmetry degeneration) weight for each tetrahedron - no
internal renormalization will be done by VASP!
ʾÀý£º
Example file
4
Cartesian
0.0  0.0  0.0   1.
0.0  0.0  0.5   1.
0.0  0.5  0.5   2.
0.5  0.5  0.5   4.
Tetrahedra
1  0.183333333333333
6    1 2 3 4
¾ßÌåÇë²Î¼û°ïÖúÎĵµ8.4½Ú

[ Last edited by zzgyb on 2008-1-27 at 14:41 ]
4Â¥2008-01-27 14:37:53
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