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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G**
 hartrees
Energy at 0K-306.220863
Energy at 298.15K-306.227576
HF Energy-306.220863
Nuclear repulsion energy220.894325
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/6-311G**
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' 3829 3673 84.54      
2 A' 3205 3075 4.07      
3 A' 3181 3052 3.75      
4 A' 3141 3013 11.44      
5 A' 3042 2919 12.08      
6 A' 1846 1771 425.55      
7 A' 1734 1664 30.46      
8 A' 1479 1418 19.27      
9 A' 1406 1349 86.60      
10 A' 1401 1344 27.10      
11 A' 1332 1278 4.46      
12 A' 1292 1239 6.08      
13 A' 1216 1167 221.06      
14 A' 1131 1085 24.92      
15 A' 984 944 15.58      
16 A' 892 856 22.74      
17 A' 636 610 57.89      
18 A' 505 484 3.50      
19 A' 386 371 3.01      
20 A' 193 185 1.07      
21 A" 3100 2974 10.81      
22 A" 1471 1411 10.94      
23 A" 1073 1030 2.64      
24 A" 1015 974 40.36      
25 A" 876 841 14.14      
26 A" 710 681 40.13      
27 A" 581 557 82.91      
28 A" 212 203 0.27      
29 A" 194 186 0.78      
30 A" 104 100 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 21083.0 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 20227.0 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/6-311G**
ABC
0.33249 0.06500 0.05492

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.097 -0.371 0.000
C2 0.000 0.607 0.000
C3 1.293 0.282 0.000
C4 2.416 1.257 0.000
O5 -0.682 -1.655 0.000
O6 -2.266 -0.075 0.000
H7 -0.331 1.641 0.000
H8 1.555 -0.774 0.000
H9 2.061 2.290 0.000
H10 3.055 1.108 0.877
H11 3.055 1.108 -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
C11.46992.47793.87181.34951.20552.15282.68264.12924.49404.49401.8580
C21.46991.33372.50162.36272.36651.08542.08022.66023.21763.21763.1656
C32.47791.33371.48702.76623.57712.11821.08802.14952.13432.13433.7181
C43.87182.50161.48704.25144.86762.77362.20631.09181.09571.09575.2050
O51.34952.36272.76624.25142.23703.31452.40384.80424.72924.72920.9649
O61.20552.36653.57714.86762.23702.58643.88424.93095.52105.52102.2515
H72.15281.08542.11822.77363.31452.58643.06462.47833.53843.53843.9991
H82.68262.08021.08802.20632.40383.88423.06463.10542.56162.56163.3536
H94.12922.66022.14951.09184.80424.93092.47833.10541.77621.77625.7121
H104.49403.21762.13431.09574.72925.52103.53842.56161.77621.75465.6791
H114.49403.21762.13431.09574.72925.52103.53842.56161.77621.75465.6791
H121.85803.16563.71815.20500.96492.25153.99913.35365.71215.67915.6791

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 124.148 C1 C2 H7 113.958
C1 O5 H12 105.586 C2 C1 O5 113.796
C2 C1 O6 124.093 C2 C3 C4 124.881
C2 C3 H8 118.044 C3 C2 H7 121.894
C3 C4 H9 112.016 C3 C4 H10 110.545
C3 C4 H11 110.545 C4 C3 H8 117.074
O5 C1 O6 122.110 H9 C4 H10 108.579
H9 C4 H11 108.579 H10 C4 H11 106.386
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.404      
2 C -0.234      
3 C -0.092      
4 C -0.320      
5 O -0.346      
6 O -0.359      
7 H 0.131      
8 H 0.140      
9 H 0.132      
10 H 0.144      
11 H 0.144      
12 H 0.254      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.646 -0.400 0.000 2.676
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.418 4.675 0.000
y 4.675 -30.660 0.000
z 0.000 0.000 -36.158
Traceless
 xyz
x -4.009 4.675 0.000
y 4.675 6.127 0.000
z 0.000 0.000 -2.118
Polar
3z2-r2-4.237
x2-y2-6.757
xy4.675
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.247 0.865 0.000
y 0.865 7.326 0.000
z 0.000 0.000 4.403


<r2> (average value of r2) Å2
<r2> 198.682
(<r2>)1/2 14.095