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

using model chemistry: HSEh1PBE/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 HSEh1PBE/TZVP
 hartrees
Energy at 0K-379.322303
Energy at 298.15K-379.328291
HF Energy-379.322303
Nuclear repulsion energy237.336058
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 HSEh1PBE/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 2971 0.00      
2 Ag 3043 2922 0.00      
3 Ag 1732 1663 0.00      
4 Ag 1486 1427 0.00      
5 Ag 1417 1360 0.00      
6 Ag 1287 1236 0.00      
7 Ag 698 670 0.00      
8 Ag 218 209 0.00      
9 Ag 176 169 0.00      
10 Au 1114 1070 92.61      
11 Au 1016 975 161.40      
12 Au 187 180 9.94      
13 Au 79 76 2.45      
14 Bg 1087 1044 0.00      
15 Bg 994 954 0.00      
16 Bg 266 255 0.00      
17 Bu 3171 3044 2074.30      
18 Bu 3082 2959 725.58      
19 Bu 1810 1737 864.46      
20 Bu 1458 1400 1.28      
21 Bu 1416 1359 61.91      
22 Bu 1287 1236 339.78      
23 Bu 731 702 42.97      
24 Bu 291 279 77.60      

Unscaled Zero Point Vibrational Energy (zpe) 15569.3 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 14948.0 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 HSEh1PBE/TZVP
ABC
0.20453 0.07794 0.05643

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.575 -1.120 0.000
C2 -1.575 1.120 0.000
O3 1.575 0.088 0.000
O4 -1.575 -0.088 0.000
O5 0.515 -1.890 0.000
O6 -0.515 1.890 0.000
H7 2.500 -1.712 0.000
H8 -2.500 1.712 0.000
H9 0.303 1.341 0.000
H10 -0.303 -1.341 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86591.20793.31541.31033.66491.09834.96312.77121.8908
C23.86593.31541.20793.66491.31034.96311.09831.89082.7712
O31.20793.31543.15542.24402.76012.02384.38741.78662.3598
O43.31541.20793.15542.76012.24404.38742.02382.35981.7866
O51.31033.66492.24402.76013.91811.99314.69783.23860.9846
O63.66491.31032.76012.24403.91814.69781.99310.98463.2386
H71.09834.96312.02384.38741.99314.69786.06073.76242.8271
H84.96311.09834.38742.02384.69781.99316.06072.82713.7624
H92.77121.89081.78662.35983.23860.98463.76242.82712.7504
H101.89082.77122.35981.78660.98463.23862.82713.76242.7504

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 134.570 C1 O5 H10 110.149
C2 O4 H10 134.570 C2 O6 H9 110.149
O3 C1 O5 125.988 O3 C1 H7 122.630
O3 H9 O6 169.293 O4 C2 O6 125.988
O4 C2 H8 122.630 O4 H10 O5 169.293
O5 C1 H7 111.382 O6 C2 H8 111.382
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.250      
2 C 0.250      
3 O -0.406      
4 O -0.406      
5 O -0.251      
6 O -0.251      
7 H 0.112      
8 H 0.112      
9 H 0.295      
10 H 0.295      


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 -31.032 -6.954 0.000
y -6.954 -37.807 0.000
z 0.000 0.000 -33.804
Traceless
 xyz
x 4.773 -6.954 0.000
y -6.954 -5.389 0.000
z 0.000 0.000 0.616
Polar
3z2-r21.233
x2-y26.775
xy-6.954
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.581 -0.535 0.000
y -0.535 7.105 0.000
z 0.000 0.000 3.347


<r2> (average value of r2) Å2
<r2> 181.086
(<r2>)1/2 13.457