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All results from a given calculation for C4H6O2 (Crotonic Acid)

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-306.134168
Energy at 298.15K-306.140868
HF Energy-306.134168
Nuclear repulsion energy220.378554
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 PBE1PBE/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' 3762 3585 74.47      
2 A' 3233 3081 4.23      
3 A' 3209 3058 4.36      
4 A' 3165 3016 10.58      
5 A' 3063 2919 12.92      
6 A' 1865 1777 394.64      
7 A' 1750 1668 28.67      
8 A' 1510 1439 17.00      
9 A' 1435 1367 20.34      
10 A' 1423 1356 96.98      
11 A' 1345 1281 2.95      
12 A' 1308 1247 6.10      
13 A' 1230 1173 216.53      
14 A' 1142 1088 22.99      
15 A' 993 946 12.95      
16 A' 901 859 20.35      
17 A' 631 602 57.62      
18 A' 504 480 3.92      
19 A' 386 368 3.28      
20 A' 192 183 1.05      
21 A" 3123 2977 10.64      
22 A" 1502 1432 9.84      
23 A" 1084 1033 1.05      
24 A" 1021 973 34.68      
25 A" 869 828 15.13      
26 A" 709 676 57.07      
27 A" 597 569 75.17      
28 A" 212 202 0.17      
29 A" 193 184 0.61      
30 A" 103 98 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21228.0 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 20232.4 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 PBE1PBE/6-31G**
ABC
0.33110 0.06473 0.05469

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.098 -0.372 0.000
C2 0.000 0.607 0.000
C3 1.297 0.282 0.000
C4 2.419 1.262 0.000
O5 -0.681 -1.658 0.000
O6 -2.273 -0.077 0.000
H7 -0.330 1.643 0.000
H8 1.565 -0.774 0.000
H9 2.060 2.295 0.000
H10 3.060 1.116 0.879
H11 3.060 1.116 -0.879
H12 -1.494 -2.189 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47082.48223.87741.35201.21172.15582.69284.13304.50254.50251.8603
C21.47081.33732.50582.36532.37351.08672.08742.66303.22413.22413.1707
C32.48221.33731.48962.77033.58782.12121.08922.15302.13932.13933.7279
C43.87742.50581.48964.25834.87882.77512.20771.09381.09751.09755.2175
O51.35202.36532.77034.25832.24393.31922.41354.81024.73954.73950.9715
O61.21172.37353.58784.87882.24392.59433.90074.93935.53485.53482.2517
H72.15581.08672.12122.77513.31922.59433.07112.47733.54143.54144.0049
H82.69282.08741.08922.20772.41353.90073.07113.10872.56532.56533.3707
H94.13302.66302.15301.09384.81024.93932.47733.10871.77821.77825.7220
H104.50253.22412.13931.09754.73955.53483.54142.56531.77821.75775.6956
H114.50253.22412.13931.09754.73955.53483.54142.56531.77821.75775.6956
H121.86033.17073.72795.21750.97152.25174.00493.37075.72205.69565.6956

picture of Crotonic Acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 124.178 C1 C2 H7 114.053
C1 O5 H12 105.205 C2 C1 O5 113.779
C2 C1 O6 124.165 C2 C3 C4 124.767
C2 C3 H8 118.329 C3 C2 H7 121.769
C3 C4 H9 111.984 C3 C4 H10 110.652
C3 C4 H11 110.652 C4 C3 H8 116.904
O5 C1 O6 122.056 H9 C4 H10 108.474
H9 C4 H11 108.474 H10 C4 H11 106.408
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.584      
2 C -0.227      
3 C -0.098      
4 C -0.579      
5 O -0.601      
6 O -0.485      
7 H 0.188      
8 H 0.202      
9 H 0.193      
10 H 0.199      
11 H 0.199      
12 H 0.426      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.612 -0.418 0.000 2.645
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.930 4.673 0.000
y 4.673 -30.196 0.000
z 0.000 0.000 -35.710
Traceless
 xyz
x -3.977 4.673 0.000
y 4.673 6.124 0.000
z 0.000 0.000 -2.148
Polar
3z2-r2-4.295
x2-y2-6.734
xy4.673
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.797 0.826 0.000
y 0.826 6.927 0.000
z 0.000 0.000 3.828


<r2> (average value of r2) Å2
<r2> 199.135
(<r2>)1/2 14.112