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

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-379.327454
Energy at 298.15K-379.333518
HF Energy-379.327454
Nuclear repulsion energy238.104443
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/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 3078 2958 0.00      
2 Ag 2976 2860 0.00      
3 Ag 1722 1655 0.00      
4 Ag 1505 1447 0.00      
5 Ag 1412 1357 0.00      
6 Ag 1294 1244 0.00      
7 Ag 701 674 0.00      
8 Ag 227 218 0.00      
9 Ag 181 174 0.00      
10 Au 1120 1077 85.25      
11 Au 1028 988 112.96      
12 Au 193 185 9.95      
13 Au 75 72 2.15      
14 Bg 1091 1048 0.00      
15 Bg 1014 975 0.00      
16 Bg 276 265 0.00      
17 Bu 3129 3007 1723.63      
18 Bu 3057 2938 1331.53      
19 Bu 1811 1740 802.90      
20 Bu 1468 1411 3.27      
21 Bu 1414 1359 56.91      
22 Bu 1295 1245 303.10      
23 Bu 741 712 39.01      
24 Bu 308 296 83.52      

Unscaled Zero Point Vibrational Energy (zpe) 15557.2 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 14952.0 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/cc-pVTZ
ABC
0.20358 0.07925 0.05705

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.577 -1.113 0.000
C2 -1.577 1.113 0.000
O3 1.577 0.093 0.000
O4 -1.577 -0.093 0.000
O5 0.519 -1.884 0.000
O6 -0.519 1.884 0.000
H7 2.502 -1.705 0.000
H8 -2.502 1.705 0.000
H9 0.294 1.332 0.000
H10 -0.294 -1.332 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86071.20663.31491.30953.65721.09814.95802.76081.8841
C23.86073.31491.20663.65721.30954.95801.09811.88412.7608
O31.20663.31493.15982.24302.75652.02264.38591.78292.3522
O43.31491.20663.15982.75652.24304.38592.02262.35221.7829
O51.30953.65722.24302.75653.90821.99124.69123.22350.9828
O63.65721.30952.75652.24303.90824.69121.99120.98283.2235
H71.09814.95802.02264.38591.99124.69126.05563.75452.8210
H84.95801.09814.38592.02264.69121.99126.05562.82103.7545
H92.76081.88411.78292.35223.22350.98283.75452.82102.7275
H101.88412.76082.35221.78290.98283.22352.82103.75452.7275

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 133.984 C1 O5 H10 109.733
C2 O4 H10 133.984 C2 O6 H9 109.733
O3 C1 O5 126.066 O3 C1 H7 122.641
O3 H9 O6 170.217 O4 C2 O6 126.066
O4 C2 H8 122.641 O4 H10 O5 170.217
O5 C1 H7 111.293 O6 C2 H8 111.293
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.226      
2 C 0.226      
3 O -0.344      
4 O -0.344      
5 O -0.240      
6 O -0.240      
7 H 0.103      
8 H 0.103      
9 H 0.254      
10 H 0.254      


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 -30.558 -6.623 0.000
y -6.623 -36.897 0.000
z 0.000 0.000 -33.513
Traceless
 xyz
x 4.647 -6.623 0.000
y -6.623 -4.862 0.000
z 0.000 0.000 0.215
Polar
3z2-r20.429
x2-y26.339
xy-6.623
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.909 -0.684 0.000
y -0.684 7.001 0.000
z 0.000 0.000 3.537


<r2> (average value of r2) Å2
<r2> 178.968
(<r2>)1/2 13.378