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

using model chemistry: HSEh1PBE/3-21G

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/3-21G
 hartrees
Energy at 0K-377.079298
Energy at 298.15K-377.085811
HF Energy-377.079298
Nuclear repulsion energy238.707285
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/3-21G
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 3148 3032 0.00      
2 Ag 2115 2037 0.00      
3 Ag 1643 1583 0.00      
4 Ag 1477 1423 0.00      
5 Ag 1370 1320 0.00      
6 Ag 1303 1255 0.00      
7 Ag 698 673 0.00      
8 Ag 312 301 0.00      
9 Ag 190 183 0.00      
10 Au 1271 1225 352.86      
11 Au 1074 1034 38.13      
12 Au 224 216 15.03      
13 Au 99 96 0.47      
14 Bg 1220 1175 0.00      
15 Bg 1088 1048 0.00      
16 Bg 320 308 0.00      
17 Bu 3146 3030 56.25      
18 Bu 2398 2310 4282.22      
19 Bu 1722 1659 572.68      
20 Bu 1524 1468 198.39      
21 Bu 1442 1389 89.65      
22 Bu 1305 1257 191.38      
23 Bu 756 729 15.05      
24 Bu 456 439 101.49      

Unscaled Zero Point Vibrational Energy (zpe) 15150.0 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 14593.9 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/3-21G
ABC
0.19515 0.08537 0.05939

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.913 -0.213 0.000
C2 -1.913 0.213 0.000
O3 1.340 0.873 0.000
O4 -1.340 -0.873 0.000
O5 1.340 -1.415 0.000
O6 -1.340 1.415 0.000
H7 3.003 -0.308 0.000
H8 -3.003 0.308 0.000
H9 -0.336 1.381 0.000
H10 0.336 -1.381 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.84991.22813.31911.33173.63741.09354.94322.75691.9625
C23.84993.31911.22813.63741.33174.94321.09351.96252.7569
O31.22813.31913.19802.28792.73362.03964.37881.75122.4674
O43.31911.22813.19802.73362.28794.37882.03962.46741.7512
O51.33173.63742.28792.73363.89701.99764.67153.25981.0040
O63.63741.33172.73362.28793.89704.67151.99761.00403.2598
H71.09354.94322.03964.37881.99764.67156.03653.74172.8742
H84.94321.09354.37882.03964.67151.99766.03652.87423.7417
H92.75691.96251.75122.46743.25981.00403.74172.87422.8429
H101.96252.75692.46741.75121.00403.25982.87423.74172.8429

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 134.705 C1 O5 H10 113.579
C2 O4 H10 134.705 C2 O6 H9 113.579
O3 C1 O5 126.657 O3 C1 H7 122.822
O3 H9 O6 165.059 O4 C2 O6 126.657
O4 C2 H8 122.822 O4 H10 O5 165.059
O5 C1 H7 110.521 O6 C2 H8 110.521
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.457      
2 C 0.457      
3 O -0.535      
4 O -0.535      
5 O -0.577      
6 O -0.577      
7 H 0.245      
8 H 0.245      
9 H 0.410      
10 H 0.410      


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 -27.196 -0.091 0.000
y -0.091 -42.178 0.000
z 0.000 0.000 -33.063
Traceless
 xyz
x 10.424 -0.091 0.000
y -0.091 -12.048 0.000
z 0.000 0.000 1.623
Polar
3z2-r23.247
x2-y214.981
xy-0.091
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.308 -0.340 0.000
y -0.340 5.155 0.000
z 0.000 0.000 1.703


<r2> (average value of r2) Å2
<r2> 173.167
(<r2>)1/2 13.159