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

using model chemistry: PBE1PBE/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBE1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-379.207909
Energy at 298.15K-379.213944
HF Energy-379.207909
Nuclear repulsion energy237.286436
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 PBE1PBE/aug-cc-pVDZ
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 3108 2988 0.00      
2 Ag 2977 2863 0.00      
3 Ag 1713 1648 0.00      
4 Ag 1500 1442 0.00      
5 Ag 1395 1342 0.00      
6 Ag 1289 1239 0.00      
7 Ag 690 664 0.00      
8 Ag 222 214 0.00      
9 Ag 180 173 0.00      
10 Au 1124 1081 87.74      
11 Au 1024 985 95.16      
12 Au 191 184 10.93      
13 Au 77 74 2.15      
14 Bg 1090 1048 0.00      
15 Bg 1015 976 0.00      
16 Bg 271 261 0.00      
17 Bu 3136 3016 1038.61      
18 Bu 3078 2959 2007.39      
19 Bu 1799 1730 831.99      
20 Bu 1464 1408 0.92      
21 Bu 1398 1344 54.35      
22 Bu 1290 1241 294.45      
23 Bu 732 704 39.24      
24 Bu 302 291 83.18      

Unscaled Zero Point Vibrational Energy (zpe) 15531.6 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 14935.2 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 PBE1PBE/aug-cc-pVDZ
ABC
0.20222 0.07885 0.05673

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.580 -1.121 0.000
C2 -1.580 1.121 0.000
O3 1.580 0.092 0.000
O4 -1.580 -0.092 0.000
O5 0.515 -1.892 0.000
O6 -0.515 1.892 0.000
H7 2.509 -1.717 0.000
H8 -2.509 1.717 0.000
H9 0.298 1.336 0.000
H10 -0.298 -1.336 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.87331.21273.32221.31423.66901.10444.97672.77081.8894
C23.87333.32221.21273.66901.31424.97671.10441.88942.7708
O31.21273.32223.16442.25112.76162.03404.39961.78612.3584
O43.32221.21273.16442.76162.25114.39962.03402.35841.7861
O51.31423.66902.25112.76163.92102.00134.70843.23470.9847
O63.66901.31422.76162.25113.92104.70842.00130.98473.2347
H71.10444.97672.03404.39962.00134.70846.08063.76972.8323
H84.97671.10444.39962.03404.70842.00136.08062.83233.7697
H92.77081.88941.78612.35843.23470.98473.76972.83232.7371
H101.88942.77082.35841.78610.98473.23472.83233.76972.7371

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 134.133 C1 O5 H10 109.714
C2 O4 H10 134.133 C2 O6 H9 109.714
O3 C1 O5 125.922 O3 C1 H7 122.691
O3 H9 O6 170.230 O4 C2 O6 125.922
O4 C2 H8 122.691 O4 H10 O5 170.230
O5 C1 H7 111.387 O6 C2 H8 111.387
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.822      
2 C 0.822      
3 O -0.490      
4 O -0.490      
5 O -0.309      
6 O -0.309      
7 H -0.278      
8 H -0.278      
9 H 0.255      
10 H 0.255      


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 -30.768 -6.984 0.000
y -6.984 -37.471 0.000
z 0.000 0.000 -34.058
Traceless
 xyz
x 4.996 -6.984 0.000
y -6.984 -5.057 0.000
z 0.000 0.000 0.061
Polar
3z2-r20.122
x2-y26.702
xy-6.984
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.589 -0.552 0.000
y -0.552 7.782 0.000
z 0.000 0.000 4.340


<r2> (average value of r2) Å2
<r2> 180.142
(<r2>)1/2 13.422