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: LSDA/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 LSDA/cc-pVTZ
 hartrees
Energy at 0K-377.832050
Energy at 298.15K-377.838455
HF Energy-377.832050
Nuclear repulsion energy242.853245
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 LSDA/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 2974 2942 0.00      
2 Ag 1986 1964 0.00      
3 Ag 1572 1555 0.00      
4 Ag 1401 1386 0.00      
5 Ag 1362 1347 0.00      
6 Ag 1243 1229 0.00      
7 Ag 704 696 0.00      
8 Ag 305 301 0.00      
9 Ag 183 181 0.00      
10 Au 1244 1231 161.77      
11 Au 1020 1009 3.38      
12 Au 213 211 12.01      
13 Au 79 78 0.59      
14 Bg 1199 1186 0.00      
15 Bg 1026 1015 0.00      
16 Bg 292 288 0.00      
17 Bu 2973 2941 43.12      
18 Bu 2190 2167 5355.00      
19 Bu 1751 1731 797.89      
20 Bu 1475 1459 30.38      
21 Bu 1375 1360 105.54      
22 Bu 1321 1307 112.48      
23 Bu 774 766 18.67      
24 Bu 463 458 122.07      

Unscaled Zero Point Vibrational Energy (zpe) 14562.9 cm-1
Scaled (by 0.9891) Zero Point Vibrational Energy (zpe) 14404.2 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 LSDA/cc-pVTZ
ABC
0.20320 0.08812 0.06146

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.567 -1.109 0.000
C2 -1.567 1.109 0.000
O3 1.567 0.100 0.000
O4 -1.567 -0.100 0.000
O5 0.511 -1.880 0.000
O6 -0.511 1.880 0.000
H7 2.499 -1.707 0.000
H8 -2.499 1.707 0.000
H9 0.314 1.321 0.000
H10 -0.314 -1.321 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.83911.20893.29201.30733.63961.10774.94592.73451.8924
C23.83913.29201.20893.63961.30734.94591.10771.89242.7345
O31.20893.29203.13982.24352.73542.03334.37201.75002.3571
O43.29201.20893.13982.73542.24354.37202.03332.35711.7500
O51.30733.63962.24352.73543.89531.99604.68213.20700.9954
O63.63961.30732.73542.24353.89534.68211.99600.99543.2070
H71.10774.94592.03334.37201.99604.68216.05303.73472.8391
H84.94591.10774.37202.03334.68211.99606.05302.83913.7347
H92.73451.89241.75002.35713.20700.99543.73472.83912.7163
H101.89242.73452.35711.75000.99543.20702.83913.73472.7163

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 134.272 C1 O5 H10 109.789
C2 O4 H10 134.272 C2 O6 H9 109.789
O3 C1 O5 126.111 O3 C1 H7 122.671
O3 H9 O6 169.828 O4 C2 O6 126.111
O4 C2 H8 122.671 O4 H10 O5 169.828
O5 C1 H7 111.219 O6 C2 H8 111.219
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.145      
2 C 0.145      
3 O -0.266      
4 O -0.266      
5 O -0.210      
6 O -0.210      
7 H 0.109      
8 H 0.109      
9 H 0.222      
10 H 0.222      


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 -27.331 -0.556 0.000
y -0.556 -41.297 0.000
z 0.000 0.000 -33.871
Traceless
 xyz
x 10.253 -0.556 0.000
y -0.556 -10.696 0.000
z 0.000 0.000 0.443
Polar
3z2-r20.886
x2-y213.966
xy-0.556
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.221 -0.252 0.000
y -0.252 6.562 0.000
z 0.000 0.000 3.621


<r2> (average value of r2) Å2
<r2> 168.083
(<r2>)1/2 12.965