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

using model chemistry: HSEh1PBE/6-311G**

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/6-311G**
 hartrees
Energy at 0K-306.247736
Energy at 298.15K-306.254451
HF Energy-306.247736
Nuclear repulsion energy220.895121
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/6-311G**
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' 3823 3671 83.88      
2 A' 3203 3076 4.38      
3 A' 3178 3052 4.07      
4 A' 3138 3014 11.83      
5 A' 3040 2920 12.54      
6 A' 1842 1769 425.10      
7 A' 1732 1663 30.29      
8 A' 1479 1420 19.25      
9 A' 1406 1350 56.86      
10 A' 1400 1345 52.68      
11 A' 1332 1279 4.59      
12 A' 1293 1241 6.01      
13 A' 1216 1168 224.00      
14 A' 1130 1086 25.80      
15 A' 983 944 16.54      
16 A' 892 856 22.75      
17 A' 636 611 57.29      
18 A' 505 485 3.50      
19 A' 387 371 3.02      
20 A' 193 185 1.04      
21 A" 3097 2974 11.35      
22 A" 1472 1413 10.88      
23 A" 1073 1031 2.56      
24 A" 1015 975 40.43      
25 A" 876 842 13.91      
26 A" 710 682 39.86      
27 A" 581 558 83.29      
28 A" 212 204 0.24      
29 A" 194 186 0.78      
30 A" 105 100 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 21069.6 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 20235.2 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/6-311G**
ABC
0.33236 0.06502 0.05493

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.097 -0.370 0.000
C2 0.000 0.608 0.000
C3 1.293 0.281 0.000
C4 2.416 1.256 0.000
O5 -0.682 -1.655 0.000
O6 -2.266 -0.075 0.000
H7 -0.331 1.641 0.000
H8 1.554 -0.775 0.000
H9 2.061 2.289 0.000
H10 3.055 1.107 0.877
H11 3.055 1.107 -0.877
H12 -1.486 -2.188 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46942.47743.87111.35031.20562.15232.68204.12844.49354.49351.8595
C21.46941.33372.50152.36272.36641.08522.07992.65993.21763.21763.1661
C32.47741.33371.48682.76563.57692.11801.08792.14922.13432.13433.7177
C43.87112.50151.48684.25064.86732.77342.20611.09171.09561.09565.2045
O51.35032.36272.76564.25062.23763.31462.40274.80354.72854.72850.9650
O61.20562.36643.57694.86732.23762.58653.88374.93065.52085.52082.2532
H72.15231.08522.11802.77343.31462.58653.06412.47803.53823.53824.0000
H82.68202.07991.08792.20612.40273.88373.06413.10502.56172.56173.3524
H94.12842.65992.14921.09174.80354.93062.47803.10501.77591.77595.7118
H104.49353.21762.13431.09564.72855.52083.53822.56171.77591.75415.6786
H114.49353.21762.13431.09564.72855.52083.53822.56171.77591.75415.6786
H121.85953.16613.71775.20450.96502.25324.00003.35245.71185.67865.6786

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 124.144 C1 C2 H7 113.964
C1 O5 H12 105.654 C2 C1 O5 113.779
C2 C1 O6 124.122 C2 C3 C4 124.880
C2 C3 H8 118.037 C3 C2 H7 121.892
C3 C4 H9 112.011 C3 C4 H10 110.564
C3 C4 H11 110.564 C4 C3 H8 117.083
O5 C1 O6 122.099 H9 C4 H10 108.572
H9 C4 H11 108.572 H10 C4 H11 106.364
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.398      
2 C -0.232      
3 C -0.092      
4 C -0.319      
5 O -0.345      
6 O -0.356      
7 H 0.132      
8 H 0.140      
9 H 0.132      
10 H 0.144      
11 H 0.144      
12 H 0.255      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.652 -0.396 0.000 2.682
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.437 4.677 0.000
y 4.677 -30.685 0.000
z 0.000 0.000 -36.166
Traceless
 xyz
x -4.012 4.677 0.000
y 4.677 6.116 0.000
z 0.000 0.000 -2.104
Polar
3z2-r2-4.209
x2-y2-6.752
xy4.677
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.268 0.873 0.000
y 0.873 7.341 0.000
z 0.000 0.000 4.406


<r2> (average value of r2) Å2
<r2> 198.666
(<r2>)1/2 14.095