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

using model chemistry: HSEh1PBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at HSEh1PBE/STO-3G
 hartrees
Energy at 0K-374.071607
Energy at 298.15K-374.078241
HF Energy-374.071607
Nuclear repulsion energy239.157756
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 HSEh1PBE/STO-3G
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 3313 2926 0.00      
2 Ag 2250 1987 0.00      
3 Ag 1852 1636 0.00      
4 Ag 1466 1295 0.00      
5 Ag 1391 1229 0.00      
6 Ag 1099 971 0.00      
7 Ag 730 644 0.00      
8 Ag 549 485 0.00      
9 Ag 251 222 0.00      
10 Au 1478 1305 190.56      
11 Au 975 861 8.34      
12 Au 247 218 5.09      
13 Au 96 85 0.00      
14 Bg 1475 1303 0.00      
15 Bg 999 882 0.00      
16 Bg 334 295 0.00      
17 Bu 3311 2924 0.46      
18 Bu 2844 2511 6318.57      
19 Bu 1844 1628 202.39      
20 Bu 1786 1577 91.48      
21 Bu 1456 1286 51.29      
22 Bu 1362 1203 78.54      
23 Bu 782 690 4.96      
24 Bu 662 585 0.95      

Unscaled Zero Point Vibrational Energy (zpe) 16276.1 cm-1
Scaled (by 0.8831) Zero Point Vibrational Energy (zpe) 14373.5 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 HSEh1PBE/STO-3G
ABC
0.18402 0.09225 0.06145

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/STO-3G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.903 -0.274 0.000
C2 -1.903 0.274 0.000
O3 1.330 0.828 0.000
O4 -1.330 -0.828 0.000
O5 1.330 -1.499 0.000
O6 -1.330 1.499 0.000
H7 3.014 -0.384 0.000
H8 -3.014 0.384 0.000
H9 -0.325 1.382 0.000
H10 0.325 -1.382 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.84591.24223.28031.35223.68771.11614.96122.77651.9276
C23.84593.28031.24223.68771.35224.96121.11611.92762.7765
O31.24223.28033.13292.32672.74342.07454.36661.74562.4269
O43.28031.24223.13292.74342.32674.36662.07452.42691.7456
O51.35223.68772.32672.74344.00792.01994.73453.32241.0114
O63.68771.35222.74342.32674.00794.73452.01991.01143.3224
H71.11614.96122.07454.36662.01994.73456.07673.77732.8678
H84.96121.11614.36662.07454.73452.01996.07672.86783.7773
H92.77651.92761.74562.42693.32241.01143.77732.86782.8387
H101.92762.77652.42691.74561.01143.32242.86783.77732.8387

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 135.987 C1 O5 H10 108.417
C2 O4 H10 135.987 C2 O6 H9 108.417
O3 C1 O5 127.428 O3 C1 H7 123.111
O3 H9 O6 168.168 O4 C2 O6 127.428
O4 C2 H8 123.111 O4 H10 O5 168.168
O5 C1 H7 109.461 O6 C2 H8 109.461
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.154      
2 C 0.154      
3 O -0.240      
4 O -0.240      
5 O -0.240      
6 O -0.240      
7 H 0.091      
8 H 0.091      
9 H 0.235      
10 H 0.235      


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 -27.732 -0.001 0.000
y -0.001 -37.243 0.000
z 0.000 0.000 -29.813
Traceless
 xyz
x 5.796 -0.001 0.000
y -0.001 -8.470 0.000
z 0.000 0.000 2.674
Polar
3z2-r25.347
x2-y29.511
xy-0.001
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.180 -0.000 0.000
y -0.000 3.891 0.000
z 0.000 0.000 0.780


<r2> (average value of r2) Å2
<r2> 166.436
(<r2>)1/2 12.901