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

using model chemistry: HSEh1PBE/6-311G**

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/6-311G**
 hartrees
Energy at 0K-379.287855
Energy at 298.15K-379.293886
HF Energy-379.287855
Nuclear repulsion energy237.559868
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/6-311G**
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 3091 2969 0.00      
2 Ag 3072 2951 0.00      
3 Ag 1742 1673 0.00      
4 Ag 1501 1442 0.00      
5 Ag 1413 1357 0.00      
6 Ag 1295 1244 0.00      
7 Ag 700 672 0.00      
8 Ag 219 211 0.00      
9 Ag 178 171 0.00      
10 Au 1121 1076 89.88      
11 Au 1021 981 155.57      
12 Au 192 184 8.97      
13 Au 77 74 2.19      
14 Bg 1092 1049 0.00      
15 Bg 1004 964 0.00      
16 Bg 281 270 0.00      
17 Bu 3205 3078 2255.55      
18 Bu 3079 2957 568.25      
19 Bu 1824 1752 831.12      
20 Bu 1466 1408 2.79      
21 Bu 1415 1359 55.32      
22 Bu 1295 1244 321.86      
23 Bu 735 705 45.41      
24 Bu 295 284 74.77      

Unscaled Zero Point Vibrational Energy (zpe) 15657.2 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 15037.1 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/6-311G**
ABC
0.20399 0.07836 0.05661

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.573 -1.116 0.000
C2 -1.573 1.116 0.000
O3 1.573 0.092 0.000
O4 -1.573 -0.092 0.000
O5 0.516 -1.890 0.000
O6 -0.516 1.890 0.000
H7 2.498 -1.709 0.000
H8 -2.498 1.709 0.000
H9 0.296 1.338 0.000
H10 -0.296 -1.338 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.85711.20773.30821.30993.66061.09934.95552.76581.8824
C23.85713.30821.20773.66061.30994.95551.09931.88242.7658
O31.20773.30823.15102.24592.75642.02494.38071.78362.3531
O43.30821.20773.15102.75642.24594.38072.02492.35311.7836
O51.30993.66062.24592.75643.91851.99044.69493.23520.9826
O63.66061.30992.75642.24593.91854.69491.99040.98263.2352
H71.09934.95552.02494.38071.99044.69496.05423.75932.8194
H84.95551.09934.38072.02494.69491.99046.05422.81943.7593
H92.76581.88241.78362.35313.23520.98263.75932.81942.7402
H101.88242.76582.35311.78360.98263.23522.81943.75932.7402

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 134.310 C1 O5 H10 109.565
C2 O4 H10 134.310 C2 O6 H9 109.565
O3 C1 O5 126.221 O3 C1 H7 122.667
O3 H9 O6 169.904 O4 C2 O6 126.221
O4 C2 H8 122.667 O4 H10 O5 169.904
O5 C1 H7 111.112 O6 C2 H8 111.112
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.275      
2 C 0.275      
3 O -0.403      
4 O -0.403      
5 O -0.287      
6 O -0.287      
7 H 0.121      
8 H 0.121      
9 H 0.294      
10 H 0.294      


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 -30.570 -6.659 0.000
y -6.659 -37.096 0.000
z 0.000 0.000 -33.318
Traceless
 xyz
x 4.637 -6.659 0.000
y -6.659 -5.152 0.000
z 0.000 0.000 0.515
Polar
3z2-r21.029
x2-y26.526
xy-6.659
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.253 -0.686 0.000
y -0.686 6.569 0.000
z 0.000 0.000 2.870


<r2> (average value of r2) Å2
<r2> 180.213
(<r2>)1/2 13.424