1
( 4 May 98)
******************************
* *
* Section 3 - Input
Examples *
*
*
******************************
The
distribution of GAMESS contains a number of short
examples, named EXAM*.INP. You should run all of these
tests to be sure you have installed
GAMESS correctly. The
correct answers are shown in the
comments preceeding each
of the short input tests. The
"correct" answers were
obtained on a RS/6000 computer, other machines may differ
in the last energy digit, or the
last couple of gradient
digits.
The examples are listed in the
rest of this section,
and
serve as a useful tutorial about GAMESS input.
Example
Description
------- -----------
1 CH2 RHF geometry optimization
2 CH2 UHF + gradient
3
CH2 ROHF + gradient
4
CH2 GVB + gradient
5 CH2 RHF + CI
gradient
6 CH2 MCSCF geometry
optimization
7 HPO RHF +
gradient
8 H2O RHF + MP2 gradient
9 H2O MCSCF + MCQDPT energy correction
10 H2O RHF + hessian
11
HCN RHF IRC
12 HCCH RHF geometry
optimization
13 H2O RHF
properties
14 H2O CI transition moment
15 C2- GVB/ROHF on 2-pi-u state
16 Si GVB/ROHF on 3-P state
17
CH2 GVB/ROHF + hessian
18
P2 RHF with effective core potential
19
NH spin-orbit coupling
20 I- exponent TRUDGE
optimization
21 CH3 OS-TCSCF
hessian
22 H3CN UHF + UMP2 energy
23 SiH3- PM3 geometry optimization
24 H2O SCRF test case
25
??? internal coordinate example
26
H3PO localized orbital test
27
NH3 DRC example
28 H2O-NH3 Morokuma
decomposition
29 FNH2OH surface scan
30 HCONH2(H2O)3 effective
fragment solvation
31 H2O PCM test
case
1
! EXAM01.
!
1-A-1 CH2 RHF geometry
optimization using GAMESS.
!
! Although internal coordinates are used
(COORD=ZMAT),
! the optimization is done in Cartesian
space (NZVAR=0).
! This run uses a criterion (OPTTOL) on the
gradient
! which is tighter than is normally
used.
!
!
This job tests the sp integral module, the RHF module,
!
and the geometry optimization module.
!
! Using the default search
METHOD=STANDARD,
! FINAL E= -37.2322678015, 8 iters, RMS
grad= .0264308
! FINAL E= -37.2308175316, 7 iters, RMS
grad= .0320881
! FINAL E= -37.2375723414, 7 iters, RMS
grad= .0056557
! FINAL E= -37.2379944431, 6 iters, RMS
grad= .0017901
! FINAL E= -37.2380387832, 8 iters, RMS
grad= .0003391
!
FINAL E= -37.2380397692, 6 iters, RMS grad= .0000030
!
$CONTRL SCFTYP=RHF RUNTYP=OPTIMIZE COORD=ZMT NZVAR=0
$END
$SYSTEM TIMLIM=2
MEMORY=100000 $END
$STATPT OPTTOL=1.0E-5 $END
$BASIS GBASIS=STO NGAUSS=2 $END
$GUESS
GUESS=HUCKEL $END
$DATA
Methylene...1-A-1 state...RHF/STO-2G
Cnv 2
C
H 1 rCH
H
1 rCH 2 aHCH
rCH=1.09
aHCH=110.0
$END
1
! EXAM02.
!
3-B-1 CH2 UHF calculation on
methylene ground state.
!
! This test uses the default choice,
COORD=UNIQUE, to
! enter the molecule. Only the symmetry unique atoms
!
are given, and they must be given in the orientation
!
which GAMESS expects.
!
! This job tests the UHF energy and the UHF
gradient.
! In addition, the orbitals are
localized.
!
!
The initial energy is -37.228465066.
! The FINAL
energy is -37.2810867258 after 11 iterations.
! The
unrestricted wavefunction has <S**2> = 2.013.
!
Mulliken, Lowdin charges on C are -0.020584, 0.018720.
!
The spin density at Hydrogen is -0.0167104.
!
The dipole moment is 0.016188.
! The RMS
gradient is 0.027589766.
! FINAL localization sums are
30.57 and 25.14 Debye**2.
!
$CONTRL SCFTYP=UHF
MULT=3 RUNTYP=GRADIENT LOCAL=BOYS $END
$SYSTEM TIMLIM=1 MEMORY=100000 $END
$BASIS GBASIS=STO NGAUSS=2 $END
$GUESS
GUESS=HUCKEL $END
$DATA
Methylene...3-B-1 state...UHF/STO-2G
Cnv 2
Carbon
6.0
Hydrogen 1.0
0.0 0.82884 0.7079
$END
1
! EXAM03.
!
3-B-1 CH2 ROHF calculation on
methylene ground state.
! The wavefunction is a pure
triplet state (<S**2> = 2),
! and so has a
higher energy than the second example.
!
! For COORD=CART, all atoms
must be given, and as in the
! present case, these may be
in an unoriented geometry.
! GAMESS deduces which atoms
are unique, and orients
! the molecule
appropriately. The geometry here is
thus
! identical to the second example.
!
! This job
tests the ROHF wavefunction and gradient code.
! It also tests the direct SCF
procedure.
!
!
The initial energy is -37.228465066.
! The FINAL
energy is -37.2778767089 after 7 iterations.
! Mulliken,
Lowdin charges on C are -0.020346, 0.019470.
! The Hydrogen
atom spin density is 0.0129735.
! The dipole moment is
0.025099 Debye.
! The RMS gradient is 0.027505548
!
$CONTRL SCFTYP=ROHF MULT=3 RUNTYP=GRADIENT COORD=CART
$END
$SYSTEM TIMLIM=1
MEMORY=100000 $END
$SCF DIRSCF=.TRUE. $END
$BASIS GBASIS=STO NGAUSS=2 $END
$GUESS
GUESS=HUCKEL $END
$DATA
Methylene...3-B-1 state...ROHF/STO-2G
Cnv 2
Hydrogen
1.0 0.82884 0.7079
0.0
Carbon 6.0
Hydrogen
1.0 -0.82884 0.7079
0.0
$END
1
! EXAM04.
!
1-A-1 CH2 TCSCF calculation on
methylene.
! The wavefunction has two configurations,
exciting
! the carbon sigma lone pair into the out of
plane p.
!
!
Note that the Z-matrix used to input the molecule
!
can include identifying integers after the element
!
symbol, and that the connectivity can then be given
!
using these labels rather than integers.
!
! This job tests the GVB
wavefunction and gradient.
!
! The initial GVB-PP(1) energy is
-37.187342653.
! The FINAL energy is -37.2562020559 after
10 iters.
! The GVB CI coefs are 0.977505 and
-0.210911, giving
! a pair overlap of 0.64506.
!
Mulliken, Lowdin charges for C are 0.020810, 0.055203.
!
The dipole moment is 1.249835.
! The RMS
gradient = 0.019618475.
!
$CONTRL
SCFTYP=GVB RUNTYP=GRADIENT COORD=ZMT
$END
$SYSTEM
TIMLIM=1 MEMORY=100000 $END
$BASIS GBASIS=STO NGAUSS=2
$END
$SCF
NCO=3 NSETO=0 NPAIR=1
$END
$DATA
Methylene...1-A-1 state...GVB...one
geminal pair...STO-2G
Cnv 2
C1
H1 C1 rCH
H2
C1 rCH H1 aHCH
rCH=1.09
aHCH=99.0
$END
! normally a
GVB-PP calculation will use GUESS=MOREAD
$GUESS
GUESS=HUCKEL $END
1
! EXAM05
!
CH2 CI calculation.
!
The wavefunction is RHF + CI-SD, within the minimal
!
basis, containing 55 configurations.
Two CI roots
! are found, and the gradient
of the higher state is
! then computed.
!
! Note that CI
gradients have several restrictions,
! which are
further described in the $LAGRAN group.
!
! FINAL energy of RHF =
-38.3704885128 after 10 iters.
! State 1 EIGENvalue =
-37.4270674136, c(1) = 0.970224
!
State 2 EIGENvalue = -37.3130036824, c(29) = 0.990865
!
The upper state dipole moment is 0.708275 Debye.
!
The upper state has RMS gradient 0.032264079
!
$CONTRL SCFTYP=RHF CITYP=GUGA RUNTYP=GRADIENT $END
$SYSTEM TIMLIM=3 MEMORY=300000
$END
$BASIS GBASIS=STO NGAUSS=3 $END
$GUESS GUESS=HUCKEL $END
! look at all state
symmetries, by using C1 symmetry
$CIDRT GROUP=C1
IEXCIT=2 NFZC=1 NDOC=3 NVAL=3 $END
! ground state
is 1-A-1, 1st excited state is 1-B-1
$GUGDIA NSTATE=2 $END
! compute
properties of the 1-B-1 state
$GUGDM NFLGDM(1)=1,1 IROOT=2
$END
! compute gradient of the 1-B-1 state
$GUGDM2 WSTATE(1)=0.0,1.0
$END
$DATA
Methylene...CI...STO-3G basis
Cnv 2
Carbon 6.0
Hydrogen 1.0 0.0 0.82884 0.7079
$END
1
! EXAM06.
!
1-A-1 CH2 MCSCF methylene
geometry optimization.
! The two configuration ansatz
is the same as used in
! the fourth example.
!
! The
optimization is done in internal coordinates,
! as NZVAR is
non-zero. Since a explicit $ZMAT
is
! given, these are used for the internal
coordinates,
! rather than those used to enter the
molecule in
! the $DATA. (Careful examination of this trivial
!
triatomic's input shows that $ZMAT is equivalent
!
to $DATA in this case. You would
normally give
! $ZMAT only if it is somehow
different.)
!
!
This job tests the MCSCF wavefunction and gradient.
!
! At the
initial geometry:
! The initial energy is -37.187342653,
!
the FINAL E= -37.2562020559 after 14 iterations,
!
the RMS gradient is 0.0256396.
!
! After 4 steps,
!
FINAL E= -37.2581791686, RMS gradient=0.0000013,
!
r(CH)=1.1243359, ang(HCH)=98.8171674
!
$CONTRL SCFTYP=MCSCF RUNTYP=OPTIMIZE NZVAR=3 COORD=ZMT $END
$SYSTEM TIMLIM=5 MEMORY=300000
$END
$BASIS GBASIS=STO NGAUSS=2 $END
$DATA
Methylene...1-A-1
state...MCSCF/STO-2G
Cnv 2
C
H
1 rCH
H 1 rCH 2
aHOH
rCH=1.09
aHOH=99.0
$END
$ZMAT IZMAT(1)=1,1,2,
1,1,3, 2,2,1,3 $END
!
!
Normally one starts a MCSCF run with converged SCF
! orbitals, as Huckel orbitals
normally do not converge.
! Even if they do converge, the extra iterations are
! very expensive, so use MOREAD for
your runs!
!
$GUESS GUESS=HUCKEL $END
!
! two active
electrons in two active orbitals.
! must find at least two roots since ground state is
3-B-1
!
$DET NCORE=3 NACT=2 NELS=2 NSTATE=2 $END
1
! EXAM07.
!
1-A' HPO RHF calculation using
GAMESS.
! This job tests the HONDO integral and
gradient package,
! due to the d function on phosphorus. The input also
!
illustrates the use of a more flexible basis set than
!
the methylene examples.
! Although HUCKEL would be
better, HCORE is tested.
!
! The initial energy is
-397.591192627,
! the FINAL E= -414.0945320854 after 18
iterations,
! The dipole moment is 2.535169.
!
The RMS gradient is 0.023723942.
!
$CONTRL SCFTYP=RHF RUNTYP=GRADIENT $END
$SYSTEM TIMLIM=20 MEMORY=300000 $END
$GUESS GUESS=HCORE $END
$DATA
HP=O ...
3-21G+* RHF calculation at STO-2G* geometry
Cs
Phosphorus
15.0
N21 3
L 1
1 0.039 1.0 1.0
D 1
1 0.55 1.0
Oxygen 8.0 1.439
N21 3
Hydrogen 1.0 -0.3527854 1.36412
N21 3
$END
1
! EXAM08.
!
1-A-1 H2O RHF + MP2 gradient
calculation.
! This job generates RHF orbitals which
should be saved
! for use with EXAM9. This run, together with EXAM9,
!
shows a much more typical MCSCF calculation, which
!
should always be started with some sort of SCF MOs.
!
This job also tests the 2nd order Moller-Plesset code.
!
! The FINAL E
is -75.5854099058 after 9 iterations.
! E(MP2) is
-75.7060362017, RMS grad=0.017449458
! dipole
moments are SCF=2.435688, MP2=2.329367
!
$CONTRL SCFTYP=RHF MPLEVL=2 RUNTYP=GRADIENT $END
$SYSTEM TIMLIM=2 MEMORY=100000
$END
$BASIS GBASIS=N21 NGAUSS=3 $END
$GUESS GUESS=HUCKEL
$END
$DATA
Water...RHF/3-21G...exp.geom...R(OH)=0.95781,A(HOH)=104.4776
Cnv 2
OXYGEN 8.0
HYDROGEN
1.0 0.0 0.7572157 0.5865358
$END
1
!
EXAM09.
! 1-A-1 H2O 2nd order MC-QDPT calculation
! This job
finds the Full Optimized Reaction Space
! MCSCF (or
CAS-SCF) wavefunction for water.
Its
! initial RHF orbitals are taken from EXAM8.
! The MCSCF wavefunction contains 225
determinants,
! which includes 105 singlet
configurations.
! The second order perturbation theory
correction
! to the MCSCF energy is then
obtained.
!
!
MCSCF:
! On the 1st iteration, the energy is
-75.601726235.
! The FINAL E= -75.6386218833 after 13
iterations,
! with c(1) = 0.988446 and dipole moment =
2.301626
!
! MC-QDPT:
!
E(MCSCF)= -75.6386218833, E(MP2)= -75.7109706204
!
$CONTRL SCFTYP=MCSCF MPLEVL=2 $END
$SYSTEM TIMLIM=8 MEMORY=300000
$END
$BASIS GBASIS=N21 NGAUSS=3 $END
---- EXPERIMENTAL GEOM,
R(OH)=0.95781A, HOH=104.4776 DEG.
$DATA
WATER...3-21G BASIS...FORS-MCSCF...EXPERIMENTAL GEOMETRY
Cnv 2
Oxygen
8.0
Hydrogen 1.0
0.0 0.7572157 0.5865358
$END
$GUESS GUESS=MOREAD NORB=13
$END
$DET NCORE=1 NACT=6 NELS=8 $END
$MCQDPT NSTATE=1 ISTSYM=1 INORB=0
$END
---- CONVERGED 3-21G
WATER VECTORS, E=-75.585409913 - - -
$VEC
1 1 0.98323195E+00
0.95883436E-01 0.00000000E+00 ...
... vectors deleted to save paper ...
13
3 0.35961579E+00 0.28728587E+00 0.35961579E+00
$END
1
! EXAM 10.
!
This run duplicates the first column of table 6 in
! Y.Yamaguchi,
M.Frisch, J.Gaw, H.F.Schaefer, and
!
J.S.Binkley J.Chem. Phys. 1986,
84, 2262-2278.
!
!
FINAL energy at the VIB 0 geometry is -74.9659012159.
!
! If run with
METHOD=ANALYTIC,
! the FREQuencies are 2170.05, 4140.00, and
4391.07
! the INTENSities are 0.17129, 1.04807, and
0.70930
! the mean POLARIZABILITY is 0.40079
!
! If run with
METHOD=NUMERIC, NVIB=2,
! the FREQuencies are 2170.14,
4140.18, and 4391.12
! the INTENSities are 0.17169,
1.04703, and 0.70909
!
$CONTRL
SCFTYP=RHF RUNTYP=HESSIAN UNITS=BOHR NZVAR=3 $END
$SYSTEM TIMLIM=4 MEMORY=100000
$END
$FORCE METHOD=ANALYTIC $END
$CPHF POLAR=.TRUE. $END
$BASIS GBASIS=STO NGAUSS=3 $END
$DATA
Water at the RHF/STO-3G equilibrium geometry
CNV 2
OXYGEN 8.
0.0 0.0 0.0702816679
HYDROGEN 1. 0.0
1.4325665478 -1.1312080153
$END
$ZMAT IZMAT(1)=1,1,2,
1,1,3, 2,2,1,3 $END
$GUESS
GUESS=HUCKEL $END
1
! EXAM 11.
!
1A' HCN RHF Intrinsic
Reaction Coordinate
! This job tests the reaction
path finder. The reaction
!
is followed back to the HNC isomer.
Four points on the
! IRC (counting the saddle
point) are found,
! Pt.
R(N-C) R(N-H) A(HNC) Energy distance
! T.S. 1.22136
1.43764 52.993 -91.5648510
0.0
! 1
1.22533 1.33296 58.476
-91.5673097 0.29994
!
2 1.22802 1.23827
64.747 -91.5735346 0.59986
! 3 1.22974
1.16350 72.039 -91.5814775
0.89968
!
$CONTRL SCFTYP=RHF RUNTYP=IRC
NZVAR=3 $END
$SYSTEM
TIMLIM=5 MEMORY=400000 $END
$IRC PACE=GS2 SADDLE=.TRUE.
TSENGY=.TRUE.
FORWRD=.FALSE. NPOINT=3 $END
$GUESS GUESS=HUCKEL $END
$ZMAT IZMAT(1)=1,1,2
1,1,3 2,2,1,3 $END
$BASIS GBASIS=STO NGAUSS=3 $END
$DATA
HYDROGEN CYANIDE...STO-3G...INTRINSIC REACTION COORDINATE
CS
NITROGEN 7.0 -.0004620071 .0002821165 .0000000000
CARBON 6.0
1.2208931990 -.0003427488 .0000000000
HYDROGEN 1.0 .8654562191 1.1478852258 .0000000000
$END
$HESS
ENERGY IS -91.5648510307 E(NUC) IS 23.4154954113
1 1
1.10665682E+00 1.58946320E-02 0.00000000E+00...
... 2nd derivatives deleted to save paper ...
9
2-8.04548379E-09 0.00000000E+00 0.00000000E+00-1.42096449E-08
$END
1
! EXAM 12.
!
This job illustrates linear bends, for acetylene.
!
The optimal RHF/STO-2G geometry is located.
!
! At the input
geometry,
! the FINAL E= -73.5036974734 after 7 iterations,
!
and the RMS gradient is 0.1506891.
!
! At the final geometry, 7
steps later,
! the FINAL E= -73.6046483165, RMS
gradient=0.0000028,
! R(CC)=1.1777007 and
R(CH)=1.0749435.
!
$CONTRL SCFTYP=RHF RUNTYP=OPTIMIZE
NZVAR=5 $END
$SYSTEM
TIMLIM=6 MEMORY=100000 $END
$BASIS GBASIS=STO NGAUSS=2
$END
$GUESS GUESS=HUCKEL $END
$DATA
Acetylene geometry optimization in
internal coordinates
Dnh 4
CARBON
6.0 0.0 0.0
0.70
HYDROGEN 1.0
0.0 0.0 1.78
$END
$ZMAT IZMAT(1)=1,1,2, 1,1,3,
1,2,4,
5,1,2,4, 5,2,1,3 $END
------- XZ is 1st plane for both bends -------
$LIBE APTS(1)=1.0,0.0,0.0,1.0,0.0,0.0 $END
! EXAM 13.
!
This run nearly duplicates the POLYATOM calculation
!
of D.Neumann + J.W.Moskowitz, J.Chem.Phys. 49,2056(1968)
!
This run differs in that the cartesian s contaminant
!
in the d shells is retained. All properties are tested.
!
! V(NE) =
-199.1899133465
! V(EE) =
37.8936602847 T =
76.0126432961
! V(NN) = 9.2390200836 E(TOT)= -76.0445896821
!
MULL.Q(O)=-0.622844 Bond
Order=0.912
! DENSITY - O=286.751654 H=0.404807
! MOMENTS: DZ= 2.097011
!
QXX=-2.369593 QYY=
2.480726 QZZ=-0.111134
!
OXXZ=-0.863480 OYYZ=
2.149717 OZZZ=-1.286237
!
ELECTRIC FIELD/GRADIENT:
H(YZ)=+/-0.364926
! O(Z)=-0.060754 H(Y)=+/-0.007327 H(Z)=0.001535
! O(XX)=1.909584 O(YY)=-1.727606 O(ZZ)=-0.181978
! H(XX)=0.301168 H(YY)=-0.258105 H(ZZ)=-0.043062
! POTENTIAL -
V(O)=-22.337450 V(H)=-1.006137
!
EXAM13 is continued on
the next page...
1
$CONTRL SCFTYP=RHF RUNTYP=ENERGY
UNITS=BOHR $END
$SYSTEM
TIMLIM=15 MEMORY=300000 $END
$GUESS GUESS=HUCKEL $END
$ELMOM IEMOM=3 $END
$ELFLDG IEFLD=2 $END
$ELPOT IEPOT=1 $END
$ELDENS IEDEN=1 $END
$DATA
Water...properties
test...(10,5,2/4,1)/[5,3,2/2,1] basis
Cnv 2
Oxygen
8.0
S 2
1
31.3166 0.243991
2 76.232
0.152763
S 3
1
290.785 0.904785
2 1424.0643 0.121603
3 4643.4485 0.029225
S 2
1 4.6037 0.264438
2 12.8607
0.458240
S 2
1
0.9311 1.051534
2 9.7044
-0.140314
S 1
1
0.2825 1.0
P 3
1 7.90403 0.124190
2 35.1832
0.019580
3 2.30512 0.394730
P 1
1 0.21373 1.0
P 1
1 0.71706
1.0
D 1
1 1.5 1.0
D 1
1 0.5 1.0
Hydrogen
1.0 0.0 1.428036
1.0957706
S 3
1
0.65341 0.817238
2 2.89915
0.231208
3 19.2406 0.032828
S 1
1 0.17758 1.0
P 1
1 1.0
1.0
$END
1
! EXAM 14.
!
CI transition moments. Water,
using RHF/STO-3G MOs.
! All orbitals are occupied,
transition is 1-1A1 to 2-1A1.
!
! E(STATE 1)= -75.0101113548, E(STATE 2)=
-74.3945819375
! Dipole LENGTH is <Q>=0.392614
!
Dipole VELOCITY is <d/dQ>=0.368205
!
$CONTRL SCFTYP=NONE CITYP=GUGA RUNTYP=TRANSITN UNITS=BOHR $END
$SYSTEM TIMLIM=1 MEMORY=100000
$END
$BASIS GBASIS=STO
NGAUSS=3 $END
! standard SD-CI
calculation
$CIDRT1
GROUP=C2V IEXCIT=2 NFZC=1 NDOC=4 NVAL=2 $END
$TRANST IROOTS(1)=1,2 $END
$DATA
WATER MOLECULE...STO-3G...TRANSITION
MOMENT
CNV 2
OXYGEN 8.0 0.0
0.0 0.0
HYDROGEN 1.0 0.0 1.428
-1.096
$END
--- RHF ORBITALS --- GENERATED AT 09:24:04 18-FEB-88
WATER MOLECULE...STO-3G...TRANSITION MOMENT
E(RHF)= -74.9620539825, E(NUC)=
9.2384802989, 8 ITERS
$VEC1
1
1 9.94117078E-01 2.66680164E-02 0.00000000E+00 ...
... vectors deleted to save paper
...
7 2-8.42653177E-01 8.42653177E-01
$END
1
! EXAM 15.
!
C2- diatom, in the electronic state doublet-pi-u.
!
This illustrates a open shell SCF calculation, using
! fed in coupling
coefficients, and the GVB/ROHF code.
!
! The FINAL energy is
-75.5579181071 after 8 iterations.
!
$CONTRL SCFTYP=GVB MULT=2 ICHARG=-1
UNITS=BOHR $END
$SYSTEM TIMLIM=15 MEMORY=300000
$END
$BASIS GBASIS=DH NDFUNC=1 POLAR=DUNNING $END
$DATA
C2-...DOUBLET-PI-UNGERADE...OPEN
SHELL SCF
DNH 4
CARBON 6.0 0.0
0.0 -1.233
$END
$GUESS GUESS=MOREAD NORB=30
NORDER=1
IORDER(5)=7,5,6 $END
$SCF NCO=5 NSETO=1 NO=2
COUPLE=.TRUE.
F(1)=1.0, 0.75
ALPHA(1)=2.0, 1.5, 1.00
BETA(1)=-1., -.75, -0.5 $END
--- RHF ORBITALS
--- GENERATED AT 14:05:16THU MAR 24/88
CC R(C-C) = 2 *
1.233 BOHR BAS=831+1D
E(RHF)= -75.3856001855, E(NUC)=
14.5985401460, 18 ITERS
$VEC
1
1-7.06500288E-01-1.39103044E-03-3.57452331E-04 ...
... vectors deleted to save paper
...
$END
1
! EXAM 16.
!
ROHF/GVB on Si 3-P state, using Gordon's 6-31G basis.
!
! The purpose of
this example is two-fold, namely to
! show off the
open shell capabilities of the GVB code,
! and to
emphasize that the 6-31G basis for Si in GAMESS
! is Mark
Gordon's version. The basis stored in
GAMESS is
! completely optimized, whereas Pople's uses
the core from
! from a 6-21G set, reoptimizing only the -31G
part.
! The energy from Pople's basis would be only
-288.828405.
!
!
Jacobi diagonalization is intrinsically slow, but in this
!
case results in pure subspecies in degenerate p irreps.
!
In fact, these may be labeled in the highest Abelian
!
subgroup of the atomic point group Kh.
!
! The FINAL energy is
-288.8285729745 after 7 iterations.
!
$CONTRL SCFTYP=GVB MULT=3
$END
$SYSTEM TIMLIM=2
MEMORY=100000 KDIAG=3 $END
$BASIS GBASIS=N31 NGAUSS=6
$END
$DATA
Si...3-P term...ROHF in full Kh
symmetry
Dnh 2
Silicon
14.
$END
$GUESS GUESS=HUCKEL $END
$SCF NCO=6 NSETO=1
NO=3 COUPLE=.TRUE.
F(1)=1.0,
0.333333333333333
ALPHA(1)=2.0,
0.66666666666667,
0.16666666666667
BETA(1)=-1.0,
-0.33333333333333, -0.16666666666667
$END
1
! EXAM 17.
!
Analytic hessian for an open shell SCF function.
!
Methylene's 1-B-1 excited state.
! FINAL
energy= -38.3334724780 after 8
iterations.
! The FREQuencies are 1224.19, 3563.44,
3896.23
! The INTENSities are 0.13317, 0.21652,
0.14589
! The mean POLARIZABILITY is 0.53018
!
$CONTRL SCFTYP=GVB
MULT=1 RUNTYP=HESSIAN UNITS=BOHR $END
$SYSTEM TIMLIM=4 MEMORY=100000
$END
$CPHF POLAR=.TRUE. $END
$BASIS GBASIS=STO NGAUSS=3 $END
$SCF
NCO=3 NSETO=2 NO(1)=1,1
NPAIR=0 $END
$ZMAT IZMAT(1)=1,1,2, 1,1,3,
2,2,1,3 $END
$GUESS GUESS=HUCKEL $END
$DATA
METHYLENE...1-B-1
STATE...ROHF...STO-3G BASIS
CNV 2
CARBON
6.0 0.0 0.0 0.0041647278
HYDROGEN
1.0 0.0 1.8913952563 0.7563907037
$END
1
! EXAM 18.
!
effective core potential...diatomic P2...RHF/CEP-31G*
!
See Stevens,Basch,Krauss, J.Chem.Phys. 81,6026-33(1984).
!
GAMESS FINAL E= -12.6956517413, RMS gradient=0.000204749
!
A separate run gives E(P)= -6.32635, so De= 26.95 kcal/mol
!
$CONTRL SCFTYP=RHF RUNTYP=GRADIENT ECP=SBK NZVAR=1
$END
$SYSTEM TIMLIM=15
MEMORY=300000 $END
$GUESS GUESS=HUCKEL $END
$ZMAT IZMAT(1)=1,1,2 $END
$DATA
diatomic phosphorous
Dnh 4
PHOSPHORUS 15.0
0.0 0.0 0.9395
SBK
D 1
1 0.45
1.0
$END
1
! EXAM
19.
! Spin-orbit coupling
example.
! This run
duplicates the results shown in Table 3 of
! T.R.Furlani, H.F.King, J.Chem.Phys. 82,
5577-83(1985),
! GAMESS
1e-= 114.3831, 2e-= -49.4160, lit=114.38,-49.42
!
!
Energies for the singlet CI are
! State= 1 Energy= -54.8685312774 (1-delta)
! State= 2 Energy= -54.8685312774 (1-delta)
! State= 3 Energy= -54.7988368491 (1-sigma-plus)
! Energies for the triplet CI are
!
State= 1 Energy= -54.9382257056 (3-sigma-minus)
! Final energies of all 6 levels in
the pi**2 configuration,
! after diagonalization of the spin-orbit Hamiltonian, are
! BREIT RELATIVE E=
-15296.557, -15296.419, -15296.419,
! BREIT RELATIVE
E= 0.0, 0.0, and +15296.557 wavenumbers.
! If run as METHOD=ZEFF, with ZEFF taken as true atomic
Z,
! then inclusion of
only the 1e- operator is 114.3851, and
! ZEFF RELATIVE
E= -15296.847, -15296.419, -15296.419,
! ZEFF RELATIVE
E= 0.0, 0.0, and +15296.847 wavenumbers.
!
!
Why are there six levels? The singlet-delta is two roots,
! the singlet-sigma-plus is a
third. During the CI, the
! spatial triplet-sigma-minus is one
CSF, with alpha/alpha
!
spin, hence IROOTS=3,1. The final
spin-orbit Hamiltonian
!
includes all three triplet spin states, namely adding the
! ab+ba and beta/beta triplets. So, 2+1+3=6 levels. You
! can work out for yourself these have the quantum
number
!
omega=0,0,1,2. Only the omega=0 states
can interact,
! raising
the triplet's degeneracy and slightly affecting
! the singlet-sigma-plus state's position.
!
! Note that the lower multiplicity CIDRT1 is done in
C1
! symmetry to generate
both components of the delta state.
!
$CONTRL SCFTYP=NONE MULT=3 CITYP=GUGA RUNTYP=SPINORBT
UNITS=BOHR $END
$SYSTEM TIMLIM=2 MEMORY=200000
$END
$TRANST
METHOD=BREIT NFZC=3 NOCC=5 NUMVEC=1 NUMCI=2
IROOTS(1)=3,1 $END
$CIDRT1 GROUP=C1 IEXCIT=2 NFZC=3 NDOC=1 NVAL=1 $END
$CIDRT2 GROUP=C4V IEXCIT=2 NFZC=3
NALP=2 $END
! Since the 1e- ZEFF method spin orbit
integrals cannot use
! L shells, we input the 6-31G
set for nitrogen by hand.
! Note that the Breit code can
handle L shell input.
$DATA
Imidogen
radical
Cnv 4
NITROGEN
7.0
S 6
1
4173.511460
0.001834772
2 627.457911 0.01399463
1
Exam19 continued from previous page...
3 142.902093
0.06858655
4 40.234329 0.2322409
5 12.820213
0.4690699
6 4.390437 0.3604552
S 3
1 11.626362 -0.1149612
2 2.716280
-0.1691175
3 0.772218 1.145852
P 3
1 11.626362
0.06757974
2 2.716280 0.3239073
3 0.772218 0.7408951
S 1
1 0.212031 1.0
P 1
1 0.212031 1.0
HYDROGEN
1.0 0.0 0.0
1.9748
N31
6
$END
--- ROHF ORBITALS --- GENERATED AT
12:04:18 29 MAR 90 ( 88)
IMIDOGEN RADICAL
E(ROHF)= -54.9382257007, E(NUC)=
3.5446627507, 8 ITERS
$VEC1
...orbitals omitted to save
space...
$END
! EXAM 20.
!
Optimize an orbital exponent.
! The SBK basis
for I consists of 5 gaussians, in a -41
! type
split. The exponent of a diffuse L
shell for
! iodide ion is optimized (6th exponent
overall). The
!
optimal exponent turns out to be 0.036713, with a
!
corresponding FINAL energy of -11.3010023066
!
$CONTRL SCFTYP=RHF RUNTYP=TRUDGE ICHARG=-1 ECP=SBK
$END
$SYSTEM TIMLIM=30
MEMORY=300000 $END
$TRUDGE OPTMIZ=BASIS NPAR=1 IEX(1)=6 $end
$GUESS GUESS=HUCKEL $END
$DATA
I- ion
Dnh 2
Iodine 53.0
SBK
L 1
1 0.02
1.0
$END
1
! EXAM 21.
!
Open shell two configuration SCF analytic hessian.
! M.Duran, Y.Yamaguchi, H.F.Schaefer III
! J.Phys.Chem. 1988, 92, 3070-3075.
!
Least motion insertion of CH into H2, which leads to
!
a 3rd order hypersaddle point on the 2-B-1 surface.
!
! Literature
values are
! FINAL E=-39.25104, C1=0.801, C2=-0.598
! FREQ= 4805i, 1793i, 1317i,
989, 2914, 3216
! mean POLARIZABILITY=2.05
!
GAMESS obtains
! FINAL E=-39.2510351249,
C1=0.801141, C2=-0.598476
! FREQ= 4805.53i, 1793.00i,
1317.43i,
! FREQ=
988.81, 2913.52, 3216.42
! INTENS= 4.54563, 0.09731,
0.00768
!
mean POLARIZABILITY=2.04655
!
$CONTRL SCFTYP=GVB MULT=2 RUNTYP=HESSIAN $END
$SYSTEM TIMLIM=25 MEMORY=100000
$END
$CPHF POLAR=.TRUE. $END
$GUESS GUESS=MOREAD NORB=16 NORDER=1 IORDER(4)=6,4,5 $END
$SCF NCO=3 NSETO=1 NO=1 NPAIR=1 CICOEF(1)=0.7,-0.7 $END
$DATA
Insertion of CH into H2...OS-TCSCF
ansatz...DZ basis
CNV
2
CARBON 6.0 0.0000000000 0.0000000000 -0.0001357549
S
6
1
4232.61 0.002029
2 634.882 0.015535
3 146.097 0.075411
4 42.4974 0.257121
5 14.1892 0.596555
6 1.9666 0.242517
S
1
1 5.1477
1.0
S 1
1
0.4962 1.0
S
1
1 0.1533
1.0
P 4
1
18.1557 0.018534
2 3.9864 0.115442
3 1.1429 0.386206
4 0.3594 0.640089
P 1
1 0.1146 1.0
HYDROGEN 1.0 0.0000000000 0.0000000000 1.0922959062
DH 0 1.2 1.2
1
... EXAM21 continued from
previous page
HYDROGEN 1.0 0.0000000000 0.4152229538 -1.4824967459
DH 0 1.2 1.2
$END
--- these are 2-A1 ROHF vectors ---
--- ROHF ORBITALS --- GENERATED AT 08:23:42 27 JUN 90
(178)
INSERTION OF CH
INTO H2...OS-TCSCF ANSATZ...DZ BASIS
E(ROHF)= -39.2316245004, E(NUC)= 8.0760320442, 12
ITERS
$VEC
1
1 6.01223299E-01 4.37813104E-01 ...
... vectors deleted to save paper ...
16
4-2.12429766E-02
$END
! EXAM22.
!
! 3-A-2
H3CN UMP2/6-31G*//UHF/6-31G*
!
! The FINAL UHF
energy= -94.0039683676 after 13 iters.
! The E(MP2)
energy= -94.2315757758
!
$CONTRL
SCFTYP=UHF MULT=3 RUNTYP=ENERGY MPLEVL=2
COORD=ZMT $END
$SYSTEM TIMLIM=30 MEMORY=300000 $END
$BASIS GBASIS=N31 NGAUSS=6 NDFUNC=1 NPFUNC=0 $END
$GUESS GUESS=HUCKEL $END
$DATA
Methylnitrene...UHF/6-31G* structure
Cnv 3
N
C
1 rCN
H
2 rCH 1 aHCN
H
2 rCH 1 aHCN 3
120.0
H 2
rCH 1 aHCN 3 -120.0
rCN=1.4329216
rCH=1.0876477
aHCN=110.21928
$END
1
! EXAM23.
!
semiempirical calculation, using the MOPAC/GAMESS combo
!
AM1 gets the geometry disasterously wrong!
!
! initial
geometry, MNDO AM1 PM3
! FINAL HEAT OF FORMATION 105.14088
93.45997 46.89387
!
RMS gradient
0.0818157 0.1008587 0.0366232
! final geometry
(# steps), 8 11 10
! FINAL HEAT OF FORMATION 46.45649
-1.81716 -2.79647
!
RMS gradient
0.0000270 0.0000294 0.0000015
! r(SiH) 1.42119 1.45813
1.52104
! a(HSiH) 101.956
120.000 96.280
!
$CONTRL SCFTYP=RHF RUNTYP=OPTIMIZE COORD=ZMT ICHARG=-1
$END
$SYSTEM TIMLIM=5
MEMORY=200000 $END
$BASIS GBASIS=PM3 $END
$DATA
Silyl anion...comparison of
semiempirical models
Cnv 3
Si
H 1
rSiH
H 1
rSiH 2 aHSiH
H
1 rSiH 2 aHSiH 3 aHSiH
-1
rSiH=1.15
aHSiH=110.0
$END
1
! EXAM24.
!
Self-consistent reaction field test, of water in water.
!
Cavity radius is calculated from the 1.00 g/cm**3 density.
!
FINAL energy is -74.9666740755 after 12 iterations
!
Induced dipole= -0.03663, RMS gradient= 0.033467686
!
$contrl
scftyp=rhf runtyp=gradient coord=zmt $end
$system memory=300000 $end
$basis gbasis=sto ngauss=3 $end
$guess
guess=huckel $end
$scrf radius=1.93 dielec=80.0
$end
$data
water in water, arbitrary
geometry
Cnv 2
O
H
1 rOH
H 1 rOH 2 aHOH
rOH = 0.95
aHOH = 104.5
$end
1
! EXAM25.
!
Illustration of coordinate systems for geometry searches.
!
Arbitrary molecule, chosen to illustrate ring, methyl on
!
ring, methine H10, imino in ring, methylene in ring.
!
! H8 H9
! \|
! H7-C6 O1---O5
H13
! \ / \ /
! C2 C4
! / \
/ \
! H10 N3 H12
!
|
! H11
!
! The initial
AM1 energy is -48.6594935
! initial
RMS final E final RMS #steps
!
Cartesians 0.0200113
-48.7022520 0.0000278 50
! dangling
Z-mat 0.0600637 ... OO bond crashes on
1st step
! good Z-matrix 0.0232915 -48.7022508
0.0000299 20
!
nat. internals 0.0209442
-48.7022570 0.0000183 15
!
$contrl scftyp=rhf runtyp=optimize coord=zmt $end
$system memory=300000 $end
$statpt hess=guess nstep=100 nprt=-1 npun=-2 $end
$basis gbasis=am1 $end
$guess guess=huckel $end
$data
Illustration of coordinate
systems
C1
O
C 1 rCOa
N 2 rCNa 1 aNCO
C
3 rCNb 2 aCNC 1 wCNCO
O 4 rCOb 3 aOCN 2 wOCNC
C 2 rCC 1
aCCO 5 wCCOO
H 6 rCH1 2 aHCC1 1 wHCCO1
H 6 rCH2 2 aHCC2 1 wHCCO2
H 6 rCH3 2 aHCC3 1 wHCCO3
H 2 rCHa 1 aHCOa 5 wHCOOa
H 3 rNH 2 aHNC 1 wHNCO
H 4 rCHb 5 aHCOb 1 wHCOOb
H 4 rCHc 5 aHCOc 1 wHCOOc
rCOa=1.43
rCNa=1.47
rCNb=1.47
rCOb=1.43
aNCO=106.0
aCNC=104.0
aOCN=106.0
wCNCO=30.0
wOCNC=-30.0
1
...EXAM25 continues
rCC=1.54
aCCO=110.0
wCCOO=-150.0
rCH1=1.09
rCH2=1.09
rCH3=1.09
aHCC1=109.0
aHCC2=109.0
aHCC3=109.0
wHCCO1=60.0
wHCCO2=-60.0
wHCCO3=180.0
rCHa=1.09
aHCOa=110.0
wHCOOa=100.0
rNH=1.01
aHNC=110.0
wHNCO=170.0
rCHb=1.09
rCHc=1.09
aHCOb=110.0
aHCOc=110.0
wHCOOb=150.0
wHCOOc=-100.0
$end
To use Cartesian coordinates:
--- $contrl nzvar=0 $end
To use conventional Z-matrix, with dangling O-O
bond:
--- $contrl
nzvar=33 $end
To use well chosen internals, with
all ring bonds closed:
--- $contrl nzvar=33 $end
--- $zmat izmat(1)=1,1,2, 1,2,3,
1,3,4, 1,4,5, 1,5,1,
2,1,2,3,
2,5,4,3, 3,5,1,2,3, 3,1,5,4,3,
1,6,2,
2,6,2,1, 3,6,2,1,5,
1,6,7,
1,6,8, 1,6,9, 2,7,6,2,
2,8,6,2, 2,9,6,2,
3,7,6,2,1,
3,8,6,2,1, 3,9,6,2,1,
1,10,2, 2,10,2,1,
3,10,2,1,5,
1,11,3,
2,11,3,2, 3,11,3,2,1,
1,12,4, 2,12,4,5,
3,12,4,5,1,
1,13,4, 2,13,4,5,
3,13,4,5,1 $end
EXAM25
continues...
1
To use natural internal coordinates:
$contrl nzvar=44 $end
$zmat
izmat(1)=1,1,2, 1,2,3, 1,3,4,
1,4,5, 1,5,1, ! ring !
2,5,1,2,
2,1,2,3, 2,2,3,4, 2,3,4,5,
2,4,5,1,
3,5,1,2,3, 3,1,2,3,4, 3,2,3,4,5, 3,3,4,5,1, 3,4,5,1,2,
1,2,6, 2,6,2,1,
2,6,2,3, 4,6,2,1,3, ! methyl C !
1,6,7, 1,6,8,
1,6,9,
! methyl Hs !
2,7,6,8, 2,8,6,9, 2,9,6,7,
2,9,6,2, 2,7,6,2, 2,8,6,2,
3,7,6,2,1,
1,10,2,
2,10,2,1, 2,10,2,3, 2,10,2,6,
! methine !
1,11,3, 2,11,3,2, 2,11,3,4,
4,11,3,2,4, ! imino !
1,12,4,
1,13,4,
! methylene !
2,12,4,13, 2,12,4,3, 2,13,4,3,
2,12,4,5, 2,13,4,5
ijS(1)=1,1,
2,2, 3,3, 4,4,
5,5, ! ring !
6,6, 7,6, 8,6,
9,6,10,6,
7,7, 8,7, 9,7,10,7,
11,8,12,8,13,8,14,8,15,8,
11,9,12,9, 14,9,15,9,
16,10, 17,11,18,11, 19,12, ! methyl C
!
20,13, 21,14,
22,15, !
methyl Hs !
23,16, 24,16, 25,16, 26,16, 27,16, 28,16,
23,17, 24,17, 25,17,
24,18, 25,18,
26,19,
27,19, 28,19,
27,20, 28,20,
29,21,
30,22, 31,23,32,23,33,23, 32,24,33,24, ! methine !
34,25,
35,26,36,26, 37,27, ! imino !
38,28, 39,29, ! methylene !
40,30, 41,30, 42,30, 43,30,
44,30,
41,31, 42,31, 43,31, 44,31,
41,32, 42,32, 43,32,
44,32,
41,33, 42,33, 43,33, 44,33
Sij(1)=1.0, 1.0, 1.0, 1.0, 1.0, ! ring !
1.0, -0.8090, 0.3090, 0.3090, -0.8090,
-1.1180, 1.8090,
-1.8090, 1.1180,
0.3090, -0.8090, 1.0, -0.8090, 0.3090,
-1.8090, 1.1180, -1.1180, 1.8090,
1.0, 1.0,-1.0, 1.0, ! methyl C !
1.0, 1.0,
1.0, !
methyl Hs !
1.0,
1.0, 1.0,-1.0,-1.0,-1.0,
2.0,-1.0,-1.0,
1.0,-1.0,
2.0,-1.0,-1.0,
1.0,-1.0,
1.0,
1.0, 2.0,-1.0,-1.0, 1.0,-1.0, ! methine !
1.0,
1.0,-1.0, 1.0, ! imino !
1.0, 1.0, ! methylene
!
4.0, 1.0, 1.0,
1.0, 1.0,
1.0,-1.0, 1.0,-1.0,
1.0, 1.0,-1.0,-1.0,
1.0,-1.0,-1.0,
1.0 $end
1
! EXAM26
!
Localized orbital test...see J.Phys.Chem. 1984, 88, 382-389
!
! FINAL Energy=
-415.2660357363 in 11 iters
!
! If you localize only the valence orbitals,
by commenting
! out the $LOCAL group below, the
! Boys localization sum is 204.693589
!
Ruedenberg localization sum is
5.081667
! population localization sum is 4.610528
!
! The SCF localized charge
decomposition forces all orbitals
! to be
localized, so the final diagonal sum is 28.389125.
!
The nuclear charge assigned to the oxygen "lone pairs"
is
! redistributed so that the total nuclear P
and O charges are
! correct.
The energies computed for the PO bond, PH bonds,
!
and O lone pairs are -37.273022, -27.364212, -26.363865.
!
The corresponding dipoles are 2.041, 3.484, and 3.465.
!
! To analyze the
MP2 valence contributions, select MPLEVL=2,
! and turn EDCOMP
and DIPDCM off. The results should
be
! E(MP2)=-415.4952200908, and the contribution
of the PO bond,
! PH bonds, and O lone pairs to the
correlation energy are
! -0.0442096, -0.0237793, and
-0.0378790, respectively.
!
$contrl
scftyp=rhf runtyp=energy local=ruednbrg mplevl=0 $end
$system memory=750000 $end
$mp2 lmomp2=.true. $end
$local
edcomp=.true. moidon=.true.
dipdcm=.true.
ijmo(1)= 1,11, 2,11, 1,12, 2,12, 1,13, 2,13
zij(1)=1.666666667,0.333333333,1.6666666667,0.333333333,
1.666666667,0.333333333
moij(1)= 2,1,
2,1, 2,1
nnucmo(11)=2,2,2
$end
$basis gbasis=n21 ngauss=3 ndfunc=1 $end
$data
phosphine oxide...3-21G*
basis...localized orbital test
Cnv 3
P 15.0
O
8.0 0.0000000000 0.0
1.4701
H 1.0
1.2335928631 0.0 -0.6421021244
$end
1
! EXAM27.
!
NH3 semi-empirical DRC
calculation
!
!
The dynamic reaction coordinate is initiated at the
!
planar inversion transition state, with a velocity
!
parallel to the mode with imaginary frequency. The
! reactive trajectory is given one kcal/mole
energy in
! excess of the amount needed to traverse
the barrier.
! The trajectory is analyzed in terms of the
equilibrium
! geometry's coordinates and normal
modes. Because
!
this is a test run, the trajectory is stopped after
!
a much too short time interval.
!
! The last point on the
trajectory has
! T=0.00163, V=-9.12874, E=-9.12710,
!
q(L6)=-0.153112, p(L6)=-0.014313,
!
velocity(H,z)=0.028857623667
!
$CONTRL SCFTYP=RHF RUNTYP=DRC $END
$SYSTEM MEMORY=300000 $END
$BASIS GBASIS=AM1 $END
$DATA
ammonia...DRC starting from the planar transition state
C1
NITROGEN
7.0 0.0000000000 0.0000000000 0.0000000000
HYDROGEN 1.0 -0.4882960784 0.8457536168
0.0000000000
HYDROGEN 1.0 -0.4882960784 -0.8457536168 0.0000000000
HYDROGEN 1.0 0.9765921567 0.0000000000 0.0000000000
$END
$DRC
NPRTSM=1 NSTEP=10 DELTAT=0.1 NMANAL=.TRUE. EKIN=1.0
VEL(1)=0.0 0.0 -0.1128,
0.0 0.0 0.5213,
0.0 0.0 0.5213,
0.0 0.0 0.5213
C0(1)=0.0000000000 0.0000000000 0.0291576578
-0.4692651161 0.8127910232
-0.3097192193
-0.4692651161 -0.8127910232 -0.3097192193
0.9385302321 0.0000000000 -0.3097192193 $END
$HESS
ENERGY IS -9.1354556210
E(NUC) IS 6.8369847904
1
1 6.16231432E-01 3.45452916E-11-1.03923982E-05 ...
... 2nd derivatives deleted to save
paper ...
12 3 1.38181166E-10 5.72335505E-02
$END
1
! EXAM28. Morokuma energy decomposition.
! This run duplicates a result from Table 16 of
! H.Umeyama, K.Morokuma,
J.Am.Chem.Soc. 99,1316(1977)
!
! GAMESS literature
! ES= -14.02
-14.0
! EX=
8.98 9.0
! PL= -1.12 -1.1
! CT= -2.37
-2.4
! MIX=
-0.43 -0.4
! total -8.96 -9.0
!
$contrl scftyp=rhf runtyp=morokuma coord=zmt $end
$system memory=300000 timlim=5
$end
$basis gbasis=n31 ngauss=4 $end
$guess guess=huckel $end
$morokm iatm(1)=3 $end
$data
water-ammonia dimer
Cs
H
O 1 rOH
H 2 rOH 1 aHOH
N
2 R
1 aHOH 3 0.0
H 4 rNH 3 aHNaxis 1
180.0
H 4 rNH 3
aHNaxis 5 +120.0
H 4 rNH
3 aHNaxis 5 -120.0
rOH=0.956
aHOH=105.2
rNH=1.0124
aHNaxis=112.1451 ! makes HNH=106.67
R=2.93
$end
1
!
EXAM29. surface scan
!
The scan is done over a 3x3 grid centered on the SCF
!
transition state for the SN2 type reaction
! F- + NH2OH -> F-NH2-OH anion -> FNH2 + OH-
!
! Groups 1 and 2
are F and OH, and their distance from
! the N is varied
antisymmetrically, which is more or
! less what the
IRC should be like. The results seem
to
! indicate that the MP2/3-21G saddle point
would shift
! further into the product channel, since the
higher
! MP2 energies occur at shorter r(NF) and
longer r(NO):
!
!
FINAL E= -229.0368324609,
E(MP2)= -229.3873302369
!
FINAL E= -229.0356378404,
E(MP2)= -229.3866642674
!
FINAL E= -229.0309266309,
E(MP2)= -229.3822094766
!
FINAL E= -229.0372146681,
E(MP2)= -229.3923234053
!
FINAL E= -229.0385440291,
E(MP2)= -229.3936486639
!
FINAL E= -229.0367369550,
E(MP2)= -229.3913683060
!
FINAL E= -229.0328601143,
E(MP2)= -229.3918932008
!
FINAL E= -229.0364643928,
E(MP2)= -229.3948325495
!
FINAL E= -229.0372478241,
E(MP2)= -229.3943498134
!
! A more
conclusive way to tell this would be to compute
! single point
MP2 energies along the SCF IRC, since the
! true reaction
path always curves, and thus does not lie
! along rectangular
grid points.
!
$contrl scftyp=rhf
runtyp=surface
icharg=-1 coord=zmt mplevl=2 $end
$system memory=500000 timlim=30 $end
$surf ivec1(1)=2,1 igrp1=1
ivec2(1)=2,5 igrp2(1)=5,6
disp1= 0.10 ndisp1=3
orig1=-0.10
disp2=-0.10 ndisp2=3 orig2= 0.10 $end
$basis
gbasis=n21 ngauss=3 $end
$guess guess=huckel $end
$data
F-NH2-OH exchange (inspired by
J.Phys.Chem. 1994,98,7942-4)
Cs
F
N 1 rNF
H 2 rNH 1 aFNH
H 2 rNH 1 aFNH
3 aHNH +1
O 2 rNO 3 aONH 4 aONH
-1
H 5 rOH 2
aHON 1 180.0
rNF=1.7125469
rNH=0.9966981
rNO=1.9359887
rOH=0.9828978
aFNH=90.18493
aONH=79.34339
aHON=100.78851
aHNH=108.57000
$end
1
!
EXAM30
! Test of water EFP ... formamide/three water
complex
!
!
FINAL E= -169.0085352303 after 12 iterations
!
RMS gradient=0.008099469
!
! The geometry below combines a computed gas
phase
! structure for formamide, with three waters
located
! in a cylic fashion whose positions
approximate the
! minimum structure of W.Chen and
M.S.Gordon. This
!
approximate structure lies about 11 mHartee above
!
the actual minimum.
!
$contrl
scftyp=rhf runtyp=gradient coord=zmt $end
$system memory=300000 $end
$basis gbasis=dh npfunc=1 ndfunc=1 $end
$data
formamide with three effective fragment waters
C1
C
O
1 rCO
N 1 rCN 2 aNCO
H 3 rNHa 1 aCNHa 2 0.0
H 3 rNHb 1 aCNHb 2 180.0
H 1 rCH 2
aHCO 4 180.0
rCO=1.1962565
rCN=1.3534065
rNHa=0.9948420
rNHb=0.9921367
rCH=1.0918368
aNCO=124.93384
aCNHa=119.16000
aCNHb=121.22477
aHCO=122.30822
$end
$efrag
coord=int
fragname=H2Oef2
O1
4 1.926 3 175.0 1 180.0
H2 7
0.9438636 4 117.4 3 -175.0
H3 7
0.9438636 8 106.70327 4 95.0
fragname=H2Oef2
O1
8 1.901 7 175.0 4 0.0
H2 10 0.9438636 8
110.0 4 -5.0
H3 10 0.9438636 11 106.70327 8
-95.0
fragname=H2Oef2
H2 2 1.951 1 150.0 3 0.0
O1
13 0.9438636 2 177.0 3 0.0
H3 14 0.9438636 13 106.70327 3 140.0
$end
1
! EXAM31.
!
Water in PCM water...RHF geometry optimization
!
! FINAL E=
-74.9677081860, 12 iters, RMS GRAD = 0.0321490
! FINAL E=
-74.9494679452, 8 iters, RMS GRAD =
0.0647800
! FINAL E= -74.9690975801, 7 iters, RMS GRAD = 0.0238593
! FINAL E= -74.9712684509, 7
iters, RMS GRAD = 0.0081236
! FINAL E= -74.9715453381, 8 iters, RMS GRAD = 0.0018667
!
FINAL E= -74.9714737628, 7
iters, RMS GRAD = 0.0049760
! FINAL E= -74.9715558829, 7 iters, RMS GRAD = 0.0000526
!
FINAL E= -74.9715559513, 4
iters, RMS GRAD = 0.0000260
!
! The final geometry is not symmetric,
! O
! H 1
.9873716
! H
1 .9872902 2
100.0327788
!
!
----------------------------------------------
! ------- RESULTS
OF PCM CALCULATION -------
! ----------------------------------------------
!
! FREE ENERGY IN SOLVENT = -74.9715559513 A.U.
! INTERNAL
ENERGY IN SOLVENT = -74.9655730812 A.U.
!
DELTA INTERNAL ENERGY
= .0000000000 A.U.
!
ELECTROSTATIC INTERACTION
= -.0059828701 A.U.
!
PIEROTTI CAVITATION ENERGY
= .0000000000 A.U.
!
DISPERSION FREE ENERGY
= .0000000000 A.U.
!
REPULSION FREE ENERGY
= .0000000000 A.U.
!
TOTAL INTERACTION
= -.0059828701 A.U.
!
TOTAL FREE ENERGY IN SOLVENT
= -74.9715559513 A.U.
!
$contrl scftyp=rhf runtyp=optimize coord=zmt $end
$system memory=300000 $end
$basis gbasis=sto ngauss=3 $end
$guess
guess=huckel $end
$pcm solvnt=water $end
$data
a water molecule solvated by PCM
water
Cnv 2
O
H
1 rOH
H 1 rOH 2 aHOH
rOH=0.95
aHOH=104.5
$end