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All results from a given calculation for C2H4O4 (Formic acid dimer)

using model chemistry: mPW1PW91/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-379.606664
Energy at 298.15K-379.612696
HF Energy-379.606664
Nuclear repulsion energy238.009537
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3089 2959 0.00      
2 Ag 2989 2864 0.00      
3 Ag 1717 1645 0.00      
4 Ag 1502 1439 0.00      
5 Ag 1414 1354 0.00      
6 Ag 1292 1238 0.00      
7 Ag 699 670 0.00      
8 Ag 221 212 0.00      
9 Ag 179 172 0.00      
10 Au 1121 1074 78.36      
11 Au 1028 985 105.52      
12 Au 191 183 10.90      
13 Au 76 73 2.31      
14 Bg 1092 1046 0.00      
15 Bg 1014 972 0.00      
16 Bg 268 257 0.00      
17 Bu 3135 3004 1681.91      
18 Bu 3069 2940 1328.28      
19 Bu 1802 1727 842.15      
20 Bu 1467 1406 1.61      
21 Bu 1415 1356 56.57      
22 Bu 1293 1239 314.20      
23 Bu 738 707 38.40      
24 Bu 301 288 83.93      

Unscaled Zero Point Vibrational Energy (zpe) 15554.5 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 14902.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/aug-cc-pVTZ
ABC
0.20394 0.07899 0.05694

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.619 -0.946 0.000
C2 -1.619 0.946 0.000
O3 1.619 0.270 0.000
O4 -1.619 -0.270 0.000
O5 0.572 -1.717 0.000
O6 -0.572 1.717 0.000
H7 2.553 -1.518 0.000
H8 -2.553 1.518 0.000
H9 0.270 1.170 0.000
H10 -0.270 -1.170 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.75081.21593.30861.30043.44851.09494.84552.50991.9028
C23.75083.30861.21593.44851.30044.84551.09491.90282.5099
O31.21593.30863.28352.24592.62602.01714.35501.62222.3760
O43.30861.21593.28352.62602.24594.35502.01712.37601.6222
O51.30043.44852.24592.62603.61911.99074.49772.90291.0039
O63.44851.30042.62602.24593.61914.49771.99071.00392.9029
H71.09494.84552.01714.35501.99074.49775.94033.52692.8443
H84.84551.09494.35502.01714.49771.99075.94032.84433.5269
H92.50991.90281.62222.37602.90291.00393.52692.84432.4024
H101.90282.50992.37601.62221.00392.90292.84433.52692.4024

picture of Formic acid dimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O3 H9 123.715 C1 O5 H10 110.678
C2 O4 H10 123.715 C2 O6 H9 110.678
O3 C1 O5 126.357 O3 C1 H7 121.504
O3 H9 O6 179.250 O4 C2 O6 126.357
O4 C2 H8 121.504 O4 H10 O5 179.250
O5 C1 H7 112.138 O6 C2 H8 112.138
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.024      
2 C 0.024      
3 O -0.479      
4 O -0.479      
5 O -0.285      
6 O -0.285      
7 H 0.446      
8 H 0.446      
9 H 0.293      
10 H 0.293      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.670 -6.869 0.000
y -6.869 -37.215 0.000
z 0.000 0.000 -33.809
Traceless
 xyz
x 4.842 -6.869 0.000
y -6.869 -4.975 0.000
z 0.000 0.000 0.134
Polar
3z2-r20.267
x2-y26.544
xy-6.869
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.525 -0.514 0.000
y -0.514 7.713 0.000
z 0.000 0.000 4.362


<r2> (average value of r2) Å2
<r2> 179.423
(<r2>)1/2 13.395