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: HF/LANL2DZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at HF/LANL2DZ
 hartrees
Energy at 0K-377.442246
Energy at 298.15K-377.448219
HF Energy-377.442246
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy234.301953
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 HF/LANL2DZ
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 3621 3259 0.00      
2 Ag 3402 3062 0.00      
3 Ag 1800 1620 0.00      
4 Ag 1549 1394 0.00      
5 Ag 1503 1353 0.00      
6 Ag 1294 1165 0.00      
7 Ag 696 626 0.00      
8 Ag 209 188 0.00      
9 Ag 181 163 0.00      
10 Au 1190 1071 42.63      
11 Au 1075 967 567.12      
12 Au 188 169 24.41      
13 Au 101 91 2.95      
14 Bg 1184 1065 0.00      
15 Bg 1028 926 0.00      
16 Bg 261 235 0.00      
17 Bu 3687 3318 1548.15      
18 Bu 3400 3059 129.63      
19 Bu 1840 1656 1139.74      
20 Bu 1536 1382 5.05      
21 Bu 1495 1345 138.70      
22 Bu 1288 1159 548.80      
23 Bu 717 646 94.99      
24 Bu 249 224 53.63      

Unscaled Zero Point Vibrational Energy (zpe) 16746.2 cm-1
Scaled (by 0.8999) Zero Point Vibrational Energy (zpe) 15069.9 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 HF/LANL2DZ
ABC
0.20365 0.07442 0.05450

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/LANL2DZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.590 -1.082 0.000
C2 -1.590 1.082 0.000
O3 1.590 0.143 0.000
O4 -1.590 -0.143 0.000
O5 0.510 -1.841 0.000
O6 -0.510 1.841 0.000
H7 2.496 -1.661 0.000
H8 -2.496 1.661 0.000
H9 0.348 1.378 0.000
H10 -0.348 -1.378 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.84711.22553.31601.32053.59961.07524.92192.75651.9607
C23.84713.31601.22553.59961.32054.92191.07521.96072.7565
O31.22553.31603.19312.25962.70052.01884.35931.75182.4641
O43.31601.22553.19312.70052.25964.35932.01882.46411.7518
O51.32053.59962.25962.70053.82121.99514.61533.22390.9746
O63.59961.32052.70052.25963.82124.61531.99510.97463.2239
H71.07524.92192.01884.35931.99514.61535.99693.72192.8585
H84.92191.07524.35932.01884.61531.99515.99692.85853.7219
H92.75651.96071.75182.46413.22390.97463.72192.85852.8435
H101.96072.75652.46411.75180.97463.22392.85853.72192.8435

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 134.845 C1 O5 H10 116.556
C2 O4 H10 134.845 C2 O6 H9 116.556
O3 C1 O5 125.085 O3 C1 H7 122.547
O3 H9 O6 163.514 O4 C2 O6 125.085
O4 C2 H8 122.547 O4 H10 O5 163.514
O5 C1 H7 112.368 O6 C2 H8 112.368
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.340      
2 C 0.340      
3 O -0.498      
4 O -0.498      
5 O -0.582      
6 O -0.582      
7 H 0.222      
8 H 0.222      
9 H 0.519      
10 H 0.519      


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 -29.662 -8.996 0.000
y -8.996 -40.007 0.000
z 0.000 0.000 -34.091
Traceless
 xyz
x 7.387 -8.996 0.000
y -8.996 -8.131 0.000
z 0.000 0.000 0.744
Polar
3z2-r21.487
x2-y210.345
xy-8.996
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.732 -0.215 0.000
y -0.215 5.866 0.000
z 0.000 0.000 2.172


<r2> (average value of r2) Å2
<r2> 187.214
(<r2>)1/2 13.683