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

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-306.035849
Energy at 298.15K-306.042432
HF Energy-306.035849
Nuclear repulsion energy216.979535
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 PBEPBE/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' 3494 3446 24.60      
2 A' 3147 3104 6.97      
3 A' 3122 3079 4.34      
4 A' 3077 3035 13.63      
5 A' 2970 2929 14.40      
6 A' 1702 1678 243.68      
7 A' 1650 1627 77.99      
8 A' 1483 1462 18.04      
9 A' 1411 1391 12.56      
10 A' 1350 1331 63.25      
11 A' 1320 1301 8.43      
12 A' 1293 1275 2.22      
13 A' 1152 1136 109.44      
14 A' 1103 1087 103.57      
15 A' 964 950 46.28      
16 A' 850 838 33.69      
17 A' 597 589 47.13      
18 A' 489 482 4.39      
19 A' 380 375 4.37      
20 A' 188 186 0.71      
21 A" 3029 2987 13.33      
22 A" 1475 1455 12.80      
23 A" 1068 1053 0.01      
24 A" 996 982 42.74      
25 A" 851 840 3.26      
26 A" 672 662 65.64      
27 A" 586 578 102.86      
28 A" 208 205 0.14      
29 A" 189 186 0.68      
30 A" 112 111 0.59      

Unscaled Zero Point Vibrational Energy (zpe) 20462.8 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 20180.4 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 PBEPBE/6-31G
ABC
0.31472 0.06353 0.05339

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.103 -0.353 0.000
C2 0.000 0.613 0.000
C3 1.312 0.278 0.000
C4 2.443 1.262 0.000
O5 -0.676 -1.687 0.000
O6 -2.318 -0.057 0.000
H7 -0.322 1.659 0.000
H8 1.577 -0.787 0.000
H9 2.085 2.305 0.000
H10 3.091 1.117 0.885
H11 3.091 1.117 -0.885
H12 -1.485 -2.262 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46632.49613.89581.40021.25082.15842.71404.15074.53124.53121.9465
C21.46631.35432.52732.39782.41251.09422.10842.68513.25453.25453.2360
C32.49611.35431.49842.79613.64532.13951.09732.16882.15642.15643.7787
C43.89582.52731.49844.29254.93942.79312.22411.10211.10661.10665.2768
O51.40022.39782.79614.29252.31353.36482.42634.85414.77904.77900.9921
O61.25082.41253.64534.93942.31352.63153.96214.99625.60505.60502.3572
H72.15841.09422.13952.79313.36482.63153.09622.49273.56773.56774.0897
H82.71402.10841.09732.22412.42633.96213.09623.13292.58822.58823.3986
H94.15072.68512.16881.10214.85414.99622.49273.13291.79061.79065.7967
H104.53123.25452.15641.10664.77905.60503.56772.58821.79061.76925.7567
H114.53123.25452.15641.10664.77905.60503.56772.58821.79061.76925.7567
H121.94653.23603.77875.27680.99212.35724.08973.39865.79675.75675.7567

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 124.446 C1 C2 H7 114.118
C1 O5 H12 107.679 C2 C1 O5 113.520
C2 C1 O6 125.033 C2 C3 C4 124.656
C2 C3 H8 118.253 C3 C2 H7 121.436
C3 C4 H9 112.123 C3 C4 H10 110.850
C3 C4 H11 110.850 C4 C3 H8 117.091
O5 C1 O6 121.447 H9 C4 H10 108.324
H9 C4 H11 108.324 H10 C4 H11 106.139
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.395      
2 C -0.115      
3 C -0.071      
4 C -0.524      
5 O -0.534      
6 O -0.399      
7 H 0.159      
8 H 0.179      
9 H 0.171      
10 H 0.181      
11 H 0.181      
12 H 0.377      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.750 -0.284 0.000 2.765
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.465 5.252 0.000
y 5.252 -30.533 0.000
z 0.000 0.000 -36.113
Traceless
 xyz
x -4.142 5.252 0.000
y 5.252 6.257 0.000
z 0.000 0.000 -2.115
Polar
3z2-r2-4.229
x2-y2-6.932
xy5.252
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.530 1.044 0.000
y 1.044 7.354 0.000
z 0.000 0.000 3.573


<r2> (average value of r2) Å2
<r2> 203.667
(<r2>)1/2 14.271