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: B2PLYP/aug-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 B2PLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-379.464151
Energy at 298.15K-379.470065
HF Energy-379.040280
Nuclear repulsion energy235.944317
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 B2PLYP/aug-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 3109 2988 0.00      
2 Ag 3093 2972 0.00      
3 Ag 1690 1624 0.00      
4 Ag 1480 1423 0.00      
5 Ag 1408 1353 0.00      
6 Ag 1254 1205 0.00      
7 Ag 686 659 0.00      
8 Ag 212 204 0.00      
9 Ag 173 166 0.00      
10 Au 1106 1063 57.26      
11 Au 996 957 129.78      
12 Au 181 174 10.11      
13 Au 73 71 2.32      
14 Bg 1083 1041 0.00      
15 Bg 975 937 0.00      
16 Bg 258 248 0.00      
17 Bu 3211 3086 2163.23      
18 Bu 3097 2976 443.66      
19 Bu 1759 1690 779.28      
20 Bu 1454 1397 2.48      
21 Bu 1404 1350 40.43      
22 Bu 1258 1209 332.20      
23 Bu 717 689 38.73      
24 Bu 281 270 70.86      

Unscaled Zero Point Vibrational Energy (zpe) 15478.9 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 14875.2 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 B2PLYP/aug-cc-pVTZ
ABC
0.20167 0.07676 0.05560

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/aug-cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.583 -1.119 0.000
C2 -1.583 1.119 0.000
O3 1.583 0.093 0.000
O4 -1.583 -0.093 0.000
O5 0.517 -1.892 0.000
O6 -0.517 1.892 0.000
H7 2.503 -1.711 0.000
H8 -2.503 1.711 0.000
H9 0.298 1.341 0.000
H10 -0.298 -1.341 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.87661.21193.32761.31633.67041.09444.97022.77531.8941
C23.87663.32761.21193.67041.31634.97021.09441.89412.7753
O31.21193.32763.17102.25272.76472.02524.39461.79112.3655
O43.32761.21193.17102.76472.25274.39462.02522.36551.7911
O51.31633.67042.25272.76473.92191.99444.70103.24030.9836
O63.67041.31632.76472.25273.92194.70101.99440.98363.2403
H71.09444.97022.02524.39461.99444.70106.06413.76532.8258
H84.97021.09444.39462.02524.70101.99446.06412.82583.7653
H92.77531.89411.79112.36553.24030.98363.76532.82582.7482
H101.89412.77532.36551.79110.98363.24032.82583.76532.7482

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 134.178 C1 O5 H10 110.043
C2 O4 H10 134.178 C2 O6 H9 110.043
O3 C1 O5 125.945 O3 C1 H7 122.741
O3 H9 O6 169.835 O4 C2 O6 125.945
O4 C2 H8 122.741 O4 H10 O5 169.835
O5 C1 H7 111.314 O6 C2 H8 111.314
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.127      
2 C -0.127      
3 O -0.474      
4 O -0.474      
5 O -0.312      
6 O -0.312      
7 H 0.587      
8 H 0.587      
9 H 0.327      
10 H 0.327      


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 -31.038 -6.972 0.000
y -6.972 -37.692 0.000
z 0.000 0.000 -34.276
Traceless
 xyz
x 4.947 -6.972 0.000
y -6.972 -5.035 0.000
z 0.000 0.000 0.089
Polar
3z2-r20.177
x2-y26.654
xy-6.972
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.615 -0.438 0.000
y -0.438 7.949 0.000
z 0.000 0.000 4.462


<r2> (average value of r2) Å2
<r2> 183.439
(<r2>)1/2 13.544