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

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-379.292734
Energy at 298.15K-379.298798
HF Energy-379.292734
Nuclear repulsion energy238.195564
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 PBE1PBE/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 3077 2957 0.00      
2 Ag 2968 2852 0.00      
3 Ag 1724 1657 0.00      
4 Ag 1507 1448 0.00      
5 Ag 1412 1357 0.00      
6 Ag 1297 1246 0.00      
7 Ag 701 674 0.00      
8 Ag 224 215 0.00      
9 Ag 180 173 0.00      
10 Au 1122 1078 89.03      
11 Au 1030 990 108.44      
12 Au 194 186 10.05      
13 Au 76 73 2.13      
14 Bg 1091 1049 0.00      
15 Bg 1017 978 0.00      
16 Bg 277 266 0.00      
17 Bu 3125 3003 1647.34      
18 Bu 3055 2936 1442.01      
19 Bu 1814 1743 804.71      
20 Bu 1469 1412 3.51      
21 Bu 1414 1359 58.15      
22 Bu 1298 1247 299.99      
23 Bu 742 713 39.10      
24 Bu 307 295 85.71      

Unscaled Zero Point Vibrational Energy (zpe) 15559.6 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 14952.8 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 PBE1PBE/cc-pVTZ
ABC
0.20360 0.07941 0.05713

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.577 -1.114 0.000
C2 -1.577 1.114 0.000
O3 1.577 0.093 0.000
O4 -1.577 -0.093 0.000
O5 0.519 -1.885 0.000
O6 -0.519 1.885 0.000
H7 2.502 -1.707 0.000
H8 -2.502 1.707 0.000
H9 0.293 1.332 0.000
H10 -0.293 -1.332 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86231.20673.31601.30943.65891.09854.95992.76231.8834
C23.86233.31601.20673.65891.30944.95991.09851.88342.7623
O31.20673.31603.16012.24302.75792.02324.38741.78432.3512
O43.31601.20673.16012.75792.24304.38742.02322.35121.7843
O51.30943.65892.24302.75793.91001.99144.69333.22440.9828
O63.65891.30942.75792.24303.91004.69331.99140.98283.2244
H71.09854.95992.02324.38741.99144.69336.05793.75652.8208
H84.95991.09854.38742.02324.69331.99146.05792.82083.7565
H92.76231.88341.78432.35123.22440.98283.75652.82082.7272
H101.88342.76232.35121.78430.98283.22442.82083.75652.7272

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 133.982 C1 O5 H10 109.681
C2 O4 H10 133.982 C2 O6 H9 109.681
O3 C1 O5 126.060 O3 C1 H7 122.651
O3 H9 O6 170.278 O4 C2 O6 126.060
O4 C2 H8 122.651 O4 H10 O5 170.278
O5 C1 H7 111.289 O6 C2 H8 111.289
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.219      
2 C 0.219      
3 O -0.341      
4 O -0.341      
5 O -0.236      
6 O -0.236      
7 H 0.105      
8 H 0.105      
9 H 0.253      
10 H 0.253      


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 -30.537 -6.618 0.000
y -6.618 -36.872 0.000
z 0.000 0.000 -33.502
Traceless
 xyz
x 4.650 -6.618 0.000
y -6.618 -4.852 0.000
z 0.000 0.000 0.202
Polar
3z2-r20.404
x2-y26.335
xy-6.618
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.903 -0.681 0.000
y -0.681 6.995 0.000
z 0.000 0.000 3.535


<r2> (average value of r2) Å2
<r2> 178.741
(<r2>)1/2 13.369