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: M06-2X/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 M06-2X/TZVP
 hartrees
Energy at 0K-379.545208
Energy at 298.15K-379.551034
HF Energy-379.545208
Nuclear repulsion energy236.540872
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 M06-2X/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 3183 3012 0.00      
2 Ag 3131 2963 0.00      
3 Ag 1764 1669 0.00      
4 Ag 1466 1387 0.00      
5 Ag 1424 1347 0.00      
6 Ag 1285 1216 0.00      
7 Ag 698 660 0.00      
8 Ag 198 188 0.00      
9 Ag 158 149 0.00      
10 Au 1112 1052 35.53      
11 Au 984 931 253.16      
12 Au 173 164 10.19      
13 Au 73 69 2.75      
14 Bg 1099 1039 0.00      
15 Bg 947 896 0.00      
16 Bg 251 238 0.00      
17 Bu 3284 3107 2195.30      
18 Bu 3127 2958 275.14      
19 Bu 1833 1735 938.89      
20 Bu 1451 1373 8.85      
21 Bu 1413 1337 86.12      
22 Bu 1283 1214 377.16      
23 Bu 719 680 55.02      
24 Bu 263 249 70.74      

Unscaled Zero Point Vibrational Energy (zpe) 15658.7 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 14816.2 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 M06-2X/TZVP
ABC
0.20692 0.07600 0.05559

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.569 -1.134 0.000
C2 -1.569 1.134 0.000
O3 1.569 0.072 0.000
O4 -1.569 -0.072 0.000
O5 0.504 -1.897 0.000
O6 -0.504 1.897 0.000
H7 2.492 -1.726 0.000
H8 -2.492 1.726 0.000
H9 0.312 1.347 0.000
H10 -0.312 -1.347 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.87291.20683.31371.31073.67281.09624.96782.78201.8931
C23.87293.31371.20683.67281.31074.96781.09621.89312.7820
O31.20683.31373.14232.23962.76202.02134.38551.79082.3566
O43.31371.20683.14232.76202.23964.38552.02132.35661.7908
O51.31073.67282.23962.76203.92621.99604.70163.25010.9837
O63.67281.31072.76202.23963.92624.70161.99600.98373.2501
H71.09624.96782.02134.38551.99604.70166.06323.76812.8295
H84.96781.09624.38552.02134.70161.99606.06322.82953.7681
H92.78201.89311.79082.35663.25010.98373.76812.82952.7653
H101.89312.78202.35661.79080.98373.25012.82953.76812.7653

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 135.381 C1 O5 H10 110.384
C2 O4 H10 135.381 C2 O6 H9 110.384
O3 C1 O5 125.603 O3 C1 H7 122.658
O3 H9 O6 168.632 O4 C2 O6 125.603
O4 C2 H8 122.658 O4 H10 O5 168.632
O5 C1 H7 111.739 O6 C2 H8 111.739
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.332      
2 C 0.332      
3 O -0.469      
4 O -0.469      
5 O -0.327      
6 O -0.327      
7 H 0.121      
8 H 0.121      
9 H 0.342      
10 H 0.342      


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 -30.698 -7.315 0.000
y -7.315 -37.776 0.000
z 0.000 0.000 -33.990
Traceless
 xyz
x 5.185 -7.315 0.000
y -7.315 -5.432 0.000
z 0.000 0.000 0.247
Polar
3z2-r20.495
x2-y27.078
xy-7.315
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.293 -0.453 0.000
y -0.453 7.076 0.000
z 0.000 0.000 3.329


<r2> (average value of r2) Å2
<r2> 183.523
(<r2>)1/2 13.547