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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-306.039007
Energy at 298.15K-306.045761
HF Energy-306.039007
Nuclear repulsion energy219.082546
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' 3688 3525 52.93      
2 A' 3244 3101 4.15      
3 A' 3216 3074 2.72      
4 A' 3167 3027 12.71      
5 A' 3057 2922 12.82      
6 A' 1789 1710 336.21      
7 A' 1729 1653 63.11      
8 A' 1529 1461 18.71      
9 A' 1462 1398 15.81      
10 A' 1415 1353 100.89      
11 A' 1365 1305 4.02      
12 A' 1336 1277 1.70      
13 A' 1197 1144 141.02      
14 A' 1148 1097 90.94      
15 A' 1003 959 35.10      
16 A' 898 859 26.03      
17 A' 625 598 54.82      
18 A' 510 487 5.96      
19 A' 394 376 4.57      
20 A' 195 187 0.82      
21 A" 3124 2986 11.51      
22 A" 1522 1455 14.52      
23 A" 1115 1066 0.02      
24 A" 1036 991 52.49      
25 A" 893 854 6.86      
26 A" 703 672 67.69      
27 A" 597 571 129.70      
28 A" 211 201 0.20      
29 A" 196 188 0.63      
30 A" 117 111 0.51      

Unscaled Zero Point Vibrational Energy (zpe) 21239.5 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 20302.8 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 PBE1PBE/6-31G
ABC
0.32250 0.06460 0.05436

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 -1.094 -0.352 0.000
C2 0.000 0.613 0.000
C3 1.298 0.273 0.000
C4 2.427 1.247 0.000
O5 -0.678 -1.665 0.000
O6 -2.295 -0.058 0.000
H7 -0.319 1.650 0.000
H8 1.554 -0.785 0.000
H9 2.076 2.282 0.000
H10 3.068 1.099 0.879
H11 3.068 1.099 -0.879
H12 -1.456 -2.255 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.45892.47303.86741.37731.23592.14682.68384.12194.49484.49481.9374
C21.45891.34212.50872.37632.39081.08532.09042.66403.22833.22833.2167
C32.47301.34211.49052.76783.60842.12441.08862.15412.14162.14163.7392
C43.86742.50871.49054.25634.89902.77632.21091.09361.09761.09765.2292
O51.37732.37632.76784.25632.27953.33422.39924.81264.73734.73730.9772
O61.23592.39083.60844.89902.27952.61153.91714.95805.55625.55622.3516
H72.14681.08532.12442.77633.33422.61153.07252.47763.54283.54284.0675
H82.68382.09041.08862.21092.39923.91713.07253.11102.57162.57163.3505
H94.12192.66402.15411.09364.81264.95802.47763.11101.77641.77645.7503
H104.49483.22832.14161.09764.73735.55623.54282.57161.77641.75785.7004
H114.49483.22832.14161.09764.73735.55623.54282.57161.77641.75785.7004
H121.93743.21673.73925.22920.97722.35164.06753.35055.75035.70045.7004

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 123.937 C1 C2 H7 114.286
C1 O5 H12 109.565 C2 C1 O5 113.796
C2 C1 O6 124.845 C2 C3 C4 124.580
C2 C3 H8 118.257 C3 C2 H7 121.776
C3 C4 H9 112.029 C3 C4 H10 110.763
C3 C4 H11 110.763 C4 C3 H8 117.162
O5 C1 O6 121.359 H9 C4 H10 108.336
H9 C4 H11 108.336 H10 C4 H11 106.406
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 0.486      
2 C -0.167      
3 C -0.091      
4 C -0.563      
5 O -0.600      
6 O -0.445      
7 H 0.192      
8 H 0.209      
9 H 0.187      
10 H 0.195      
11 H 0.195      
12 H 0.403      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.858 -0.374 0.000 2.882
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.897 5.370 0.000
y 5.370 -30.309 0.000
z 0.000 0.000 -36.116
Traceless
 xyz
x -4.684 5.370 0.000
y 5.370 6.697 0.000
z 0.000 0.000 -2.013
Polar
3z2-r2-4.027
x2-y2-7.587
xy5.370
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.986 0.739 0.000
y 0.739 6.827 0.000
z 0.000 0.000 3.501


<r2> (average value of r2) Å2
<r2> 200.506
(<r2>)1/2 14.160