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 HCOOH (Formic acid)

using model chemistry: B3PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
1 2 no CS 1A'

Conformer 1 (CS)

Jump to S1C2
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-189.611966
Energy at 298.15K-189.614665
HF Energy-189.611966
Nuclear repulsion energy68.972419
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 B3PW91/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3620 3467 31.70      
2 A' 3169 3035 36.70      
3 A' 1750 1676 274.42      
4 A' 1415 1355 4.69      
5 A' 1305 1250 11.99      
6 A' 1089 1043 257.50      
7 A' 608 582 51.86      
8 A" 1052 1008 7.52      
9 A" 690 661 219.27      

Unscaled Zero Point Vibrational Energy (zpe) 7348.7 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 7037.8 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 B3PW91/6-31G
ABC
2.52727 0.38654 0.33526

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.432 0.000
O2 -1.045 -0.449 0.000
O3 1.184 0.117 0.000
H4 -0.388 1.451 0.000
H5 -0.729 -1.379 0.000

Atom - Atom Distances (Å)
  C1 O2 O3 H4 H5
C11.36661.22561.09081.9520
O21.36662.30002.01070.9818
O31.22562.30002.06232.4289
H41.09082.01072.06232.8506
H51.95200.98182.42892.8506

picture of Formic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O2 H5 111.383 O2 C1 O3 124.978
O2 C1 H4 109.299 O3 C1 H4 125.723
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.342      
2 O -0.540      
3 O -0.394      
4 H 0.192      
5 H 0.399      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.368 -0.486 0.000 1.452
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -23.006 0.134 0.000
y 0.134 -12.139 0.000
z 0.000 0.000 -16.823
Traceless
 xyz
x -8.525 0.134 0.000
y 0.134 7.775 0.000
z 0.000 0.000 0.750
Polar
3z2-r21.499
x2-y2-10.867
xy0.134
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.194 0.113 -0.000
y 0.113 2.709 0.000
z -0.000 0.000 1.076


<r2> (average value of r2) Å2
<r2> 38.307
(<r2>)1/2 6.189

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-189.602676
Energy at 298.15K 
HF Energy-189.602676
Nuclear repulsion energy68.867298
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 B3PW91/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3672 3517 32.82      
2 A' 3039 2911 83.44      
3 A' 1813 1737 226.37      
4 A' 1447 1385 1.25      
5 A' 1207 1156 313.39      
6 A' 1107 1060 54.54      
7 A' 644 617 10.13      
8 A" 1035 992 0.01      
9 A" 516 494 143.40      

Unscaled Zero Point Vibrational Energy (zpe) 7240.1 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 6933.8 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 B3PW91/6-31G
ABC
2.83681 0.37654 0.33242

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.397 0.000
O2 -0.914 -0.626 0.000
O3 1.200 0.193 0.000
H4 -0.449 1.401 0.000
H5 -1.839 -0.313 0.000

Atom - Atom Distances (Å)
  C1 O2 O3 H4 H5
C11.37191.21731.10031.9716
O21.37192.26732.08010.9767
O31.21732.26732.04463.0813
H41.10032.08012.04462.2074
H51.97160.97673.08132.2074

picture of Formic acid state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O2 H5 113.097 O2 C1 O3 122.132
O2 C1 H4 114.129 O3 C1 H4 123.739
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.352      
2 O -0.533      
3 O -0.363      
4 H 0.149      
5 H 0.396      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.932 1.930 0.000 4.380
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.401 -1.242 0.000
y -1.242 -17.643 0.000
z 0.000 0.000 -16.824
Traceless
 xyz
x 1.832 -1.242 0.000
y -1.242 -1.530 0.000
z 0.000 0.000 -0.302
Polar
3z2-r2-0.604
x2-y22.242
xy-1.242
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.863 0.146 0.000
y 0.146 2.212 0.000
z 0.000 0.000 1.077


<r2> (average value of r2) Å2
<r2> 38.615
(<r2>)1/2 6.214