return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBE1PBE/TZVP

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/TZVP
 hartrees
Energy at 0K-379.287668
Energy at 298.15K-379.293650
HF Energy-379.287668
Nuclear repulsion energy237.387512
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/TZVP
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 3095 2970 0.00      
2 Ag 3041 2918 0.00      
3 Ag 1735 1664 0.00      
4 Ag 1487 1427 0.00      
5 Ag 1417 1360 0.00      
6 Ag 1289 1237 0.00      
7 Ag 699 670 0.00      
8 Ag 214 206 0.00      
9 Ag 174 167 0.00      
10 Au 1115 1070 94.91      
11 Au 1016 975 158.91      
12 Au 187 180 9.95      
13 Au 80 76 2.43      
14 Bg 1087 1043 0.00      
15 Bg 995 955 0.00      
16 Bg 266 256 0.00      
17 Bu 3170 3042 2084.45      
18 Bu 3082 2957 735.19      
19 Bu 1813 1740 864.30      
20 Bu 1458 1399 1.33      
21 Bu 1417 1359 63.07      
22 Bu 1289 1237 337.46      
23 Bu 732 702 43.07      
24 Bu 288 277 79.36      

Unscaled Zero Point Vibrational Energy (zpe) 15572.7 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 14943.6 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/TZVP
ABC
0.20452 0.07802 0.05648

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.576 -1.121 0.000
C2 -1.576 1.121 0.000
O3 1.576 0.087 0.000
O4 -1.576 -0.087 0.000
O5 0.516 -1.891 0.000
O6 -0.516 1.891 0.000
H7 2.501 -1.713 0.000
H8 -2.501 1.713 0.000
H9 0.302 1.342 0.000
H10 -0.302 -1.342 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86701.20793.31631.31023.66631.09864.96462.77251.8902
C23.86703.31631.20793.66631.31024.96461.09861.89022.7725
O31.20793.31633.15602.24412.76152.02414.38861.78802.3593
O43.31631.20793.15602.76152.24414.38862.02412.35931.7880
O51.31023.66632.24412.76153.91951.99314.69963.23960.9845
O63.66631.31022.76152.24413.91954.69961.99310.98453.2396
H71.09864.96462.02414.38861.99314.69966.06253.76412.8269
H84.96461.09864.38862.02414.69961.99316.06252.82693.7641
H92.77251.89021.78802.35933.23960.98453.76412.82692.7506
H101.89022.77252.35931.78800.98453.23962.82693.76412.7506

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 134.562 C1 O5 H10 110.115
C2 O4 H10 134.562 C2 O6 H9 110.115
O3 C1 O5 125.996 O3 C1 H7 122.633
O3 H9 O6 169.327 O4 C2 O6 125.996
O4 C2 H8 122.633 O4 H10 O5 169.327
O5 C1 H7 111.372 O6 C2 H8 111.372
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.245      
2 C 0.245      
3 O -0.401      
4 O -0.401      
5 O -0.247      
6 O -0.247      
7 H 0.110      
8 H 0.110      
9 H 0.292      
10 H 0.292      


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 -31.019 -6.937 0.000
y -6.937 -37.775 0.000
z 0.000 0.000 -33.786
Traceless
 xyz
x 4.761 -6.937 0.000
y -6.937 -5.373 0.000
z 0.000 0.000 0.611
Polar
3z2-r21.223
x2-y26.756
xy-6.937
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.568 -0.534 0.000
y -0.534 7.094 0.000
z 0.000 0.000 3.338


<r2> (average value of r2) Å2
<r2> 180.955
(<r2>)1/2 13.452