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: PBEPBEultrafine/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 PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-379.301285
Energy at 298.15K-379.307220
HF Energy-379.301285
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy235.653625
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 PBEPBEultrafine/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 2994 2960 0.00      
2 Ag 2722 2691 0.00      
3 Ag 1628 1610 0.00      
4 Ag 1444 1428 0.00      
5 Ag 1358 1342 0.00      
6 Ag 1231 1217 0.00      
7 Ag 672 664 0.00      
8 Ag 216 213 0.00      
9 Ag 173 171 0.00      
10 Au 1091 1079 156.15      
11 Au 980 969 65.79      
12 Au 189 187 8.08      
13 Au 78 77 1.89      
14 Bg 1044 1032 0.00      
15 Bg 982 971 0.00      
16 Bg 268 265 0.00      
17 Bu 2998 2964 4.87      
18 Bu 2863 2830 3182.38      
19 Bu 1715 1695 743.81      
20 Bu 1419 1403 1.60      
21 Bu 1361 1346 43.50      
22 Bu 1232 1218 287.31      
23 Bu 711 703 28.97      
24 Bu 299 296 86.71      

Unscaled Zero Point Vibrational Energy (zpe) 14832.2 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 14663.1 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 PBEPBEultrafine/TZVP
ABC
0.19849 0.07823 0.05611

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.881 -0.095 0.000
C2 -1.881 0.095 0.000
O3 1.311 0.998 0.000
O4 -1.311 -0.998 0.000
O5 1.311 -1.280 0.000
O6 -1.311 1.280 0.000
H7 2.984 -0.167 0.000
H8 -2.984 0.167 0.000
H9 -0.290 1.182 0.000
H10 0.290 -1.182 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.76731.23273.31781.31573.47581.10484.87202.51841.9275
C23.76733.31781.23273.47581.31574.87201.10481.92752.5184
O31.23273.31783.29572.27852.63722.03854.37441.61122.4075
O43.31781.23273.29572.63722.27854.37442.03852.40751.6112
O51.31573.47582.27852.63723.66502.00924.53212.93681.0261
O63.47581.31572.63722.27853.66504.53212.00921.02612.9368
H71.10484.87202.03854.37442.00924.53215.97673.54042.8788
H84.87201.10484.37442.03854.53212.00925.97672.87883.5404
H92.51841.92751.61122.40752.93681.02613.54042.87882.4337
H101.92752.51842.40751.61121.02612.93682.87883.54042.4337

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 124.097 C1 O5 H10 110.180
C2 O4 H10 124.097 C2 O6 H9 110.180
O3 C1 O5 126.762 O3 C1 H7 121.315
O3 H9 O6 178.961 O4 C2 O6 126.762
O4 C2 H8 121.315 O4 H10 O5 178.961
O5 C1 H7 111.923 O6 C2 H8 111.923
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.183      
2 C 0.183      
3 O -0.352      
4 O -0.352      
5 O -0.210      
6 O -0.210      
7 H 0.111      
8 H 0.111      
9 H 0.267      
10 H 0.267      


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 -27.734 -0.979 0.000
y -0.979 -42.148 0.000
z 0.000 0.000 -34.155
Traceless
 xyz
x 10.418 -0.979 0.000
y -0.979 -11.204 0.000
z 0.000 0.000 0.786
Polar
3z2-r21.572
x2-y214.414
xy-0.979
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.865 -0.499 0.000
y -0.499 6.928 0.000
z 0.000 0.000 3.491


<r2> (average value of r2) Å2
<r2> 182.234
(<r2>)1/2 13.499