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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-306.118818
Energy at 298.15K-306.125331
HF Energy-306.118818
Nuclear repulsion energy218.371095
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' 3577 3526 43.15      
2 A' 3133 3089 6.84      
3 A' 3110 3066 5.97      
4 A' 3071 3027 10.81      
5 A' 2972 2929 13.92      
6 A' 1765 1739 315.61      
7 A' 1675 1651 27.82      
8 A' 1464 1443 17.05      
9 A' 1384 1364 6.99      
10 A' 1357 1338 71.62      
11 A' 1302 1283 2.66      
12 A' 1267 1249 5.86      
13 A' 1173 1157 200.88      
14 A' 1102 1087 34.63      
15 A' 956 942 23.08      
16 A' 862 849 19.68      
17 A' 603 594 51.04      
18 A' 484 477 3.11      
19 A' 374 368 3.23      
20 A' 185 183 0.91      
21 A" 3025 2982 11.42      
22 A" 1456 1435 8.97      
23 A" 1040 1025 0.52      
24 A" 984 970 29.03      
25 A" 829 817 9.42      
26 A" 680 670 57.68      
27 A" 585 576 59.13      
28 A" 210 207 0.17      
29 A" 186 183 0.64      
30 A" 99 98 0.30      

Unscaled Zero Point Vibrational Energy (zpe) 20453.2 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 20160.7 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
0.32354 0.06372 0.05377

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 -1.105 -0.373 0.000
C2 0.000 0.606 0.000
C3 1.311 0.286 0.000
C4 2.433 1.276 0.000
O5 -0.682 -1.679 0.000
O6 -2.294 -0.074 0.000
H7 -0.333 1.650 0.000
H8 1.587 -0.776 0.000
H9 2.069 2.316 0.000
H10 3.082 1.133 0.884
H11 3.082 1.133 -0.884
H12 -1.516 -2.201 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47662.50423.90341.37241.22662.16532.72174.15994.53684.53681.8732
C21.47661.34952.52352.38472.39311.09532.10472.68393.24973.24973.1905
C32.50421.34951.49622.79863.62332.13591.09772.16682.15322.15323.7656
C43.90342.52351.49624.29334.91652.79132.21981.10211.10631.10635.2618
O51.37242.38472.79864.29332.27503.34682.44164.85034.78084.78080.9845
O61.22662.39313.62334.91652.27502.61133.94434.97505.58115.58112.2643
H72.16531.09532.13592.79133.34682.61133.09392.49253.56573.56574.0283
H82.72172.10471.09772.21982.44163.94433.09393.12972.58132.58133.4147
H94.15992.68392.16681.10214.85034.97502.49253.12971.79141.79145.7669
H104.53683.24972.15321.10634.78085.58113.56572.58131.79141.76835.7485
H114.53683.24972.15321.10634.78085.58113.56572.58131.79141.76835.7485
H121.87323.19053.76565.26180.98452.26434.02833.41475.76695.74855.7485

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 124.714 C1 C2 H7 113.863
C1 O5 H12 104.057 C2 C1 O5 113.608
C2 C1 O6 124.321 C2 C3 C4 124.863
C2 C3 H8 118.280 C3 C2 H7 121.423
C3 C4 H9 112.114 C3 C4 H10 110.770
C3 C4 H11 110.770 C4 C3 H8 116.857
O5 C1 O6 122.070 H9 C4 H10 108.428
H9 C4 H11 108.428 H10 C4 H11 106.109
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 0.513      
2 C -0.173      
3 C -0.073      
4 C -0.543      
5 O -0.549      
6 O -0.449      
7 H 0.156      
8 H 0.172      
9 H 0.178      
10 H 0.185      
11 H 0.185      
12 H 0.398      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.538 -0.344 0.000 2.562
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.631 4.621 0.000
y 4.621 -30.425 0.000
z 0.000 0.000 -35.742
Traceless
 xyz
x -3.547 4.621 0.000
y 4.621 5.761 0.000
z 0.000 0.000 -2.214
Polar
3z2-r2-4.429
x2-y2-6.206
xy4.621
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.370 1.112 0.000
y 1.112 7.417 0.000
z 0.000 0.000 3.892


<r2> (average value of r2) Å2
<r2> 202.155
(<r2>)1/2 14.218