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

using model chemistry: wB97X-D/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 wB97X-D/cc-pVTZ
 hartrees
Energy at 0K-379.581071
Energy at 298.15K-379.587099
HF Energy-379.581071
Nuclear repulsion energy237.091135
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 wB97X-D/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 3160 3021 0.00      
2 Ag 3092 2956 0.00      
3 Ag 1747 1671 0.00      
4 Ag 1499 1433 0.00      
5 Ag 1420 1357 0.00      
6 Ag 1290 1233 0.00      
7 Ag 703 672 0.00      
8 Ag 227 217 0.00      
9 Ag 179 171 0.00      
10 Au 1113 1064 52.46      
11 Au 1012 968 154.04      
12 Au 191 183 9.93      
13 Au 75 72 2.47      
14 Bg 1094 1046 0.00      
15 Bg 986 943 0.00      
16 Bg 273 261 0.00      
17 Bu 3272 3128 2318.34      
18 Bu 3086 2950 319.35      
19 Bu 1824 1743 821.66      
20 Bu 1460 1396 1.20      
21 Bu 1419 1357 57.31      
22 Bu 1290 1233 327.68      
23 Bu 734 702 44.51      
24 Bu 295 282 71.22      

Unscaled Zero Point Vibrational Energy (zpe) 15720.5 cm-1
Scaled (by 0.956) Zero Point Vibrational Energy (zpe) 15028.8 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 wB97X-D/cc-pVTZ
ABC
0.20399 0.07737 0.05610

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.630 -0.959 0.000
C2 -1.630 0.959 0.000
O3 1.630 0.254 0.000
O4 -1.630 -0.254 0.000
O5 0.581 -1.732 0.000
O6 -0.581 1.732 0.000
H7 2.562 -1.534 0.000
H8 -2.562 1.534 0.000
H9 0.254 1.188 0.000
H10 -0.254 -1.188 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.78191.21373.33451.30263.48241.09484.87662.55031.8979
C23.78193.33451.21373.48241.30264.87661.09481.89792.5503
O31.21373.33453.29872.24612.65862.01654.38211.66242.3731
O43.33451.21373.29872.65862.24614.38212.01652.37311.6624
O51.30263.48242.24612.65863.65311.99064.53192.93840.9964
O63.48241.30262.65862.24613.65314.53191.99060.99642.9384
H71.09484.87662.01654.38211.99064.53195.97133.56842.8370
H84.87661.09484.38212.01654.53191.99065.97132.83703.5684
H92.55031.89791.66242.37312.93840.99643.56842.83702.4308
H101.89792.55032.37311.66240.99642.93842.83703.56842.4308

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 124.183 C1 O5 H10 110.583
C2 O4 H10 124.183 C2 O6 H9 110.583
O3 C1 O5 126.374 O3 C1 H7 121.654
O3 H9 O6 178.860 O4 C2 O6 126.374
O4 C2 H8 121.654 O4 H10 O5 178.860
O5 C1 H7 111.972 O6 C2 H8 111.972
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.252      
2 C 0.252      
3 O -0.357      
4 O -0.357      
5 O -0.246      
6 O -0.246      
7 H 0.095      
8 H 0.095      
9 H 0.258      
10 H 0.258      


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 -30.362 -6.866 0.000
y -6.866 -36.652 0.000
z 0.000 0.000 -33.406
Traceless
 xyz
x 4.667 -6.866 0.000
y -6.866 -4.768 0.000
z 0.000 0.000 0.101
Polar
3z2-r20.202
x2-y26.290
xy-6.866
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.758 -0.604 0.000
y -0.604 7.009 0.000
z 0.000 0.000 3.548


<r2> (average value of r2) Å2
<r2> 181.505
(<r2>)1/2 13.472