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

using model chemistry: HSEh1PBE/6-31G**

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/6-31G**
 hartrees
Energy at 0K-379.183766
Energy at 298.15K-379.189822
HF Energy-379.183766
Nuclear repulsion energy237.814521
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/6-31G**
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 3115 2972 0.00      
2 Ag 2971 2835 0.00      
3 Ag 1751 1671 0.00      
4 Ag 1520 1451 0.00      
5 Ag 1427 1361 0.00      
6 Ag 1315 1255 0.00      
7 Ag 699 667 0.00      
8 Ag 221 210 0.00      
9 Ag 183 175 0.00      
10 Au 1131 1079 115.76      
11 Au 1030 983 141.14      
12 Au 194 185 8.92      
13 Au 78 75 1.91      
14 Bg 1093 1043 0.00      
15 Bg 1022 976 0.00      
16 Bg 286 273 0.00      
17 Bu 3146 3002 1053.93      
18 Bu 3083 2942 2061.90      
19 Bu 1840 1756 771.18      
20 Bu 1473 1406 8.92      
21 Bu 1428 1363 66.12      
22 Bu 1313 1253 298.98      
23 Bu 741 707 42.31      
24 Bu 307 293 84.56      

Unscaled Zero Point Vibrational Energy (zpe) 15682.0 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 14965.3 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/6-31G**
ABC
0.20205 0.07966 0.05713

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.576 -1.113 0.000
C2 -1.576 1.113 0.000
O3 1.576 0.100 0.000
O4 -1.576 -0.100 0.000
O5 0.520 -1.892 0.000
O6 -0.520 1.892 0.000
H7 2.503 -1.705 0.000
H8 -2.503 1.705 0.000
H9 0.296 1.340 0.000
H10 -0.296 -1.340 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.85861.21303.31051.31233.66341.10064.95822.76711.8855
C23.85863.31051.21303.66341.31234.95821.10061.88552.7671
O31.21303.31053.15812.25452.75722.02974.38381.78242.3617
O43.31051.21303.15812.75722.25454.38382.02972.36171.7824
O51.31233.66342.25452.75723.92381.99244.69883.23980.9845
O63.66341.31232.75722.25453.92384.69881.99240.98453.2398
H71.10064.95822.02974.38381.99244.69886.05823.76162.8229
H84.95821.10064.38382.02974.69881.99246.05822.82293.7616
H92.76711.88551.78242.36173.23980.98453.76162.82292.7451
H101.88552.76712.36171.78240.98453.23982.82293.76162.7451

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 134.098 C1 O5 H10 109.525
C2 O4 H10 134.098 C2 O6 H9 109.525
O3 C1 O5 126.404 O3 C1 H7 122.568
O3 H9 O6 169.973 O4 C2 O6 126.404
O4 C2 H8 122.568 O4 H10 O5 169.973
O5 C1 H7 111.028 O6 C2 H8 111.028
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.433      
2 C 0.433      
3 O -0.494      
4 O -0.494      
5 O -0.467      
6 O -0.467      
7 H 0.139      
8 H 0.139      
9 H 0.389      
10 H 0.389      


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 -30.368 -6.334 0.000
y -6.334 -36.756 0.000
z 0.000 0.000 -33.075
Traceless
 xyz
x 4.548 -6.334 0.000
y -6.334 -5.034 0.000
z 0.000 0.000 0.486
Polar
3z2-r20.973
x2-y26.388
xy-6.334
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.250 -0.693 0.000
y -0.693 6.349 0.000
z 0.000 0.000 2.576


<r2> (average value of r2) Å2
<r2> 178.586
(<r2>)1/2 13.364