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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
 hartrees
Energy at 0K-306.173139
Energy at 298.15K-306.179825
HF Energy-306.173139
Nuclear repulsion energy220.487691
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 HSEh1PBE/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' 3824 3649 76.46      
2 A' 3226 3078 4.03      
3 A' 3199 3053 4.77      
4 A' 3162 3017 10.04      
5 A' 3056 2916 12.83      
6 A' 1859 1774 390.90      
7 A' 1745 1666 29.55      
8 A' 1491 1423 16.57      
9 A' 1421 1356 99.42      
10 A' 1415 1350 26.48      
11 A' 1335 1274 3.10      
12 A' 1297 1238 5.89      
13 A' 1218 1163 209.59      
14 A' 1135 1084 22.91      
15 A' 988 943 13.14      
16 A' 898 857 20.77      
17 A' 631 602 57.39      
18 A' 504 481 3.90      
19 A' 387 369 3.30      
20 A' 192 183 1.04      
21 A" 3120 2977 10.68      
22 A" 1484 1417 9.21      
23 A" 1076 1027 1.46      
24 A" 1017 970 32.63      
25 A" 867 827 14.55      
26 A" 707 674 52.35      
27 A" 590 563 77.28      
28 A" 212 202 0.18      
29 A" 194 185 0.58      
30 A" 103 98 0.24      

Unscaled Zero Point Vibrational Energy (zpe) 21174.9 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 20207.2 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 HSEh1PBE/6-31G**
ABC
0.33127 0.06480 0.05475

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.097 -0.371 0.000
C2 0.000 0.608 0.000
C3 1.296 0.281 0.000
C4 2.419 1.258 0.000
O5 -0.681 -1.657 0.000
O6 -2.272 -0.075 0.000
H7 -0.329 1.643 0.000
H8 1.560 -0.776 0.000
H9 2.063 2.291 0.000
H10 3.060 1.111 0.878
H11 3.060 1.111 -0.878
H12 -1.491 -2.187 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47032.48063.87521.35151.21192.15522.68744.13164.49954.49951.8581
C21.47031.33692.50492.36482.37281.08622.08492.66233.22263.22263.1675
C32.48061.33691.48852.76843.58632.12091.08892.15142.13762.13763.7225
C43.87522.50491.48854.25534.87722.77542.20801.09271.09651.09655.2111
O51.35152.36482.76844.25532.24363.31832.40774.80764.73554.73550.9678
O61.21192.37283.58634.87722.24362.59353.89554.93875.53245.53242.2517
H72.15521.08622.12092.77543.31832.59353.06902.47843.54113.54114.0019
H82.68742.08491.08892.20802.40773.89553.06903.10782.56532.56533.3611
H94.13162.66232.15141.09274.80764.93872.47843.10781.77661.77665.7165
H104.49953.22262.13761.09654.73555.53243.54112.56531.77661.75535.6880
H114.49953.22262.13761.09654.73555.53243.54112.56531.77661.75535.6880
H121.85813.16753.72255.21110.96782.25174.00193.36115.71655.68805.6880

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 124.101 C1 C2 H7 114.079
C1 O5 H12 105.282 C2 C1 O5 113.810
C2 C1 O6 124.134 C2 C3 C4 124.803
C2 C3 H8 118.158 C3 C2 H7 121.820
C3 C4 H9 111.999 C3 C4 H10 110.651
C3 C4 H11 110.651 C4 C3 H8 117.038
O5 C1 O6 122.057 H9 C4 H10 108.499
H9 C4 H11 108.499 H10 C4 H11 106.344
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.580      
2 C -0.166      
3 C -0.066      
4 C -0.437      
5 O -0.516      
6 O -0.486      
7 H 0.141      
8 H 0.155      
9 H 0.148      
10 H 0.157      
11 H 0.157      
12 H 0.334      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.638 -0.420 0.000 2.672
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.934 4.676 0.000
y 4.676 -30.190 0.000
z 0.000 0.000 -35.645
Traceless
 xyz
x -4.017 4.676 0.000
y 4.676 6.100 0.000
z 0.000 0.000 -2.083
Polar
3z2-r2-4.166
x2-y2-6.744
xy4.676
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.885 0.837 0.000
y 0.837 7.009 0.000
z 0.000 0.000 3.888


<r2> (average value of r2) Å2
<r2> 198.932
(<r2>)1/2 14.104