return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBE1PBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-302.168196
Energy at 298.15K-302.174349
HF Energy-302.168196
Nuclear repulsion energy215.678481
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/STO-3G
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' 3798 3350 8.62      
2 A' 3541 3123 0.85      
3 A' 3507 3093 5.59      
4 A' 3490 3079 16.16      
5 A' 3348 2953 0.02      
6 A' 1904 1679 83.62      
7 A' 1859 1640 20.70      
8 A' 1680 1482 10.10      
9 A' 1575 1389 2.02      
10 A' 1505 1327 35.72      
11 A' 1407 1241 0.44      
12 A' 1378 1215 4.84      
13 A' 1298 1145 132.73      
14 A' 1202 1061 15.33      
15 A' 1040 918 5.80      
16 A' 910 803 8.55      
17 A' 585 516 30.06      
18 A' 480 423 3.94      
19 A' 380 336 3.06      
20 A' 173 153 0.53      
21 A" 3500 3087 0.02      
22 A" 1674 1477 5.73      
23 A" 1163 1026 0.59      
24 A" 1098 969 21.17      
25 A" 870 768 0.91      
26 A" 657 580 61.22      
27 A" 602 531 21.51      
28 A" 197 174 0.81      
29 A" 181 160 0.01      
30 A" 86 76 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 22543.3 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 19885.5 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/STO-3G
ABC
0.31502 0.06252 0.05268

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.118 -0.377 0.000
C2 0.000 0.640 0.000
C3 1.299 0.313 0.000
C4 2.440 1.313 0.000
O5 -0.617 -1.701 0.000
O6 -2.346 -0.138 0.000
H7 -0.326 1.686 0.000
H8 1.578 -0.750 0.000
H9 2.063 2.343 0.000
H10 3.076 1.169 0.887
H11 3.076 1.169 -0.887
H12 -1.483 -2.243 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51142.51373.93931.41551.25052.21002.72154.18564.55724.55721.9015
C21.51141.33902.53112.42082.47111.09612.10212.67533.24463.24463.2420
C32.51371.33901.51732.78023.67212.12711.09902.16892.16262.16263.7780
C43.93932.53111.51734.29345.00072.79122.23581.09691.10071.10075.2950
O51.41552.42082.78024.29342.33043.39962.39244.85184.76084.76081.0212
O61.25052.47113.67215.00072.33042.72103.97075.05855.64685.64682.2756
H72.21001.09612.12712.79123.39962.72103.09152.47773.55353.55354.0961
H82.72152.10211.09902.23582.39243.97073.09153.13072.59092.59093.4055
H94.18562.67532.16891.09694.85185.05852.47773.13071.78631.78635.7972
H104.55723.24462.16261.10074.76085.64683.55352.59091.78631.77345.7631
H114.55723.24462.16261.10074.76085.64683.55352.59091.78631.77345.7631
H121.90153.24203.77805.29501.02122.27564.09613.40555.79725.76315.7631

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 123.622 C1 C2 H7 114.957
C1 O5 H12 101.358 C2 C1 O5 111.555
C2 C1 O6 126.689 C2 C3 C4 124.674
C2 C3 H8 118.806 C3 C2 H7 121.421
C3 C4 H9 111.111 C3 C4 H10 110.386
C3 C4 H11 110.386 C4 C3 H8 116.521
O5 C1 O6 121.756 H9 C4 H10 108.758
H9 C4 H11 108.758 H10 C4 H11 107.342
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.197      
2 C -0.110      
3 C -0.059      
4 C -0.240      
5 O -0.228      
6 O -0.224      
7 H 0.091      
8 H 0.096      
9 H 0.089      
10 H 0.093      
11 H 0.093      
12 H 0.204      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.408 -0.319 0.000 1.443
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.638 3.586 0.000
y 3.586 -28.996 0.000
z 0.000 0.000 -32.539
Traceless
 xyz
x -2.871 3.586 0.000
y 3.586 4.093 0.000
z 0.000 0.000 -1.222
Polar
3z2-r2-2.443
x2-y2-4.643
xy3.586
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.058 0.650 0.000
y 0.650 4.356 0.000
z 0.000 0.000 1.506


<r2> (average value of r2) Å2
<r2> 203.973
(<r2>)1/2 14.282