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

using model chemistry: PBEPBE/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 PBEPBE/6-311G*
 hartrees
Energy at 0K-306.196561
Energy at 298.15K-306.203118
HF Energy-306.196561
Nuclear repulsion energy218.903356
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/6-311G*
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' 3612 3574 31.83      
2 A' 3112 3080 9.55      
3 A' 3092 3060 5.57      
4 A' 3051 3019 14.71      
5 A' 2958 2927 15.83      
6 A' 1749 1730 353.89      
7 A' 1665 1648 28.12      
8 A' 1453 1438 20.27      
9 A' 1371 1357 10.07      
10 A' 1346 1332 49.52      
11 A' 1299 1286 4.00      
12 A' 1264 1251 5.15      
13 A' 1173 1160 227.85      
14 A' 1097 1086 37.20      
15 A' 951 941 26.69      
16 A' 856 847 22.04      
17 A' 611 604 52.59      
18 A' 487 482 2.84      
19 A' 376 372 3.12      
20 A' 187 185 0.91      
21 A" 3006 2975 14.19      
22 A" 1443 1428 11.27      
23 A" 1035 1024 1.04      
24 A" 979 969 38.19      
25 A" 837 828 11.20      
26 A" 686 678 55.05      
27 A" 591 585 70.03      
28 A" 207 205 0.20      
29 A" 185 183 0.92      
30 A" 103 102 0.40      

Unscaled Zero Point Vibrational Energy (zpe) 20389.3 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 20177.2 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 PBEPBE/6-311G*
ABC
0.32512 0.06399 0.05400

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.104 -0.371 0.000
C2 0.000 0.606 0.000
C3 1.307 0.287 0.000
C4 2.429 1.271 0.000
O5 -0.683 -1.675 0.000
O6 -2.288 -0.073 0.000
H7 -0.334 1.648 0.000
H8 1.578 -0.776 0.000
H9 2.073 2.311 0.000
H10 3.078 1.126 0.881
H11 3.078 1.126 -0.881
H12 -1.503 -2.209 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47472.49903.89661.36971.22032.16162.71294.15874.52904.52901.8801
C21.47471.34522.51872.38082.38631.09422.09772.68463.24383.24383.1909
C32.49901.34521.49322.79373.61212.13191.09632.16522.14942.14943.7575
C43.89662.51871.49324.28524.90472.78872.21641.09961.10381.10385.2507
O51.36972.38082.79374.28522.26693.34122.43354.84624.77154.77150.9784
O61.22032.38633.61214.90472.26692.60413.92924.97045.56835.56832.2751
H72.16161.09422.13192.78873.34122.60413.08722.49683.56233.56234.0303
H82.71292.09771.09632.21642.43353.92923.08723.12642.57732.57733.3981
H94.15872.68462.16521.09964.84624.97042.49683.12641.78631.78635.7637
H104.52903.24382.14941.10384.77155.56833.56232.57731.78631.76235.7344
H114.52903.24382.14941.10384.77155.56833.56232.57731.78631.76235.7344
H121.88013.19093.75755.25070.97842.27514.03033.39815.76375.73445.7344

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 124.740 C1 C2 H7 113.765
C1 O5 H12 105.173 C2 C1 O5 113.604
C2 C1 O6 124.346 C2 C3 C4 125.012
C2 C3 H8 118.094 C3 C2 H7 121.495
C3 C4 H9 112.358 C3 C4 H10 110.824
C3 C4 H11 110.824 C4 C3 H8 116.894
O5 C1 O6 122.050 H9 C4 H10 108.325
H9 C4 H11 108.325 H10 C4 H11 105.930
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.384      
2 C -0.305      
3 C -0.107      
4 C -0.679      
5 O -0.490      
6 O -0.316      
7 H 0.209      
8 H 0.217      
9 H 0.230      
10 H 0.237      
11 H 0.237      
12 H 0.380      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.492 -0.360 0.000 2.518
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.320 4.757 0.000
y 4.757 -30.929 0.000
z 0.000 0.000 -36.509
Traceless
 xyz
x -3.601 4.757 0.000
y 4.757 5.985 0.000
z 0.000 0.000 -2.384
Polar
3z2-r2-4.768
x2-y2-6.390
xy4.757
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.798 1.146 0.000
y 1.146 7.837 0.000
z 0.000 0.000 4.400


<r2> (average value of r2) Å2
<r2> 201.808
(<r2>)1/2 14.206