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

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-379.471722
Energy at 298.15K-379.477686
HF Energy-379.471722
Nuclear repulsion energy237.213213
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 mPW1PW91/6-31+G**
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 3137 2986 0.00      
2 Ag 3030 2884 0.00      
3 Ag 1734 1650 0.00      
4 Ag 1491 1419 0.00      
5 Ag 1418 1349 0.00      
6 Ag 1300 1237 0.00      
7 Ag 693 659 0.00      
8 Ag 209 199 0.00      
9 Ag 174 165 0.00      
10 Au 1125 1071 120.95      
11 Au 1029 979 128.84      
12 Au 191 182 11.24      
13 Au 78 74 2.48      
14 Bg 1090 1038 0.00      
15 Bg 1016 967 0.00      
16 Bg 268 255 0.00      
17 Bu 3175 3022 1499.04      
18 Bu 3116 2966 1507.60      
19 Bu 1817 1729 899.54      
20 Bu 1459 1389 1.21      
21 Bu 1416 1348 66.33      
22 Bu 1300 1237 326.93      
23 Bu 730 695 42.22      
24 Bu 286 272 83.78      

Unscaled Zero Point Vibrational Energy (zpe) 15639.1 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 14885.3 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 mPW1PW91/6-31+G**
ABC
0.20280 0.07857 0.05663

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.613 -0.968 0.000
C2 -1.613 0.968 0.000
O3 1.613 0.256 0.000
O4 -1.613 -0.256 0.000
O5 0.560 -1.738 0.000
O6 -0.560 1.738 0.000
H7 2.546 -1.541 0.000
H8 -2.546 1.541 0.000
H9 0.283 1.190 0.000
H10 -0.283 -1.190 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.76101.22353.30261.30453.46981.09564.85662.53421.9081
C23.76103.30261.22353.46981.30454.85661.09561.90812.5342
O31.22353.30263.26542.25482.62982.02484.35271.62492.3836
O43.30261.22353.26542.62982.25484.35272.02482.38361.6249
O51.30453.46982.25482.62983.65201.99624.51642.94081.0052
O63.46981.30452.62982.25483.65204.51641.99621.00522.9408
H71.09564.85662.02484.35271.99624.51645.95223.54672.8506
H84.85661.09564.35272.02484.51641.99625.95222.85063.5467
H92.53421.90811.62492.38362.94081.00523.54672.85062.4456
H101.90812.53422.38361.62491.00522.94082.85063.54672.4456

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 125.073 C1 O5 H10 110.737
C2 O4 H10 125.073 C2 O6 H9 110.737
O3 C1 O5 126.202 O3 C1 H7 121.543
O3 H9 O6 177.987 O4 C2 O6 126.202
O4 C2 H8 121.543 O4 H10 O5 177.987
O5 C1 H7 112.255 O6 C2 H8 112.255
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.358      
2 C 0.358      
3 O -0.529      
4 O -0.529      
5 O -0.441      
6 O -0.441      
7 H 0.154      
8 H 0.154      
9 H 0.458      
10 H 0.458      


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 -30.854 -7.253 0.000
y -7.253 -37.865 0.000
z 0.000 0.000 -34.041
Traceless
 xyz
x 5.098 -7.253 0.000
y -7.253 -5.417 0.000
z 0.000 0.000 0.319
Polar
3z2-r20.638
x2-y27.010
xy-7.253
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.851 -0.412 0.000
y -0.412 7.422 0.000
z 0.000 0.000 3.667


<r2> (average value of r2) Å2
<r2> 180.534
(<r2>)1/2 13.436