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: HF/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 HF/6-311G**
 hartrees
Energy at 0K-304.779535
Energy at 298.15K-304.786546
HF Energy-304.779535
Nuclear repulsion energy222.192320
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 HF/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' 4130 3752 135.06      
2 A' 3345 3039 5.84      
3 A' 3328 3024 4.30      
4 A' 3250 2952 21.60      
5 A' 3163 2874 23.74      
6 A' 2000 1817 646.53      
7 A' 1856 1686 21.30      
8 A' 1601 1455 14.43      
9 A' 1537 1396 11.01      
10 A' 1505 1367 122.68      
11 A' 1439 1307 6.96      
12 A' 1407 1278 8.46      
13 A' 1333 1211 255.36      
14 A' 1197 1087 24.71      
15 A' 1039 944 4.97      
16 A' 952 865 19.90      
17 A' 693 629 67.08      
18 A' 541 491 5.26      
19 A' 410 372 3.86      
20 A' 208 189 1.42      
21 A" 3213 2919 25.82      
22 A" 1597 1450 8.54      
23 A" 1187 1079 5.07      
24 A" 1102 1001 44.34      
25 A" 962 874 31.26      
26 A" 775 704 42.64      
27 A" 598 543 106.19      
28 A" 222 201 0.19      
29 A" 208 189 0.54      
30 A" 111 101 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 22451.9 cm-1
Scaled (by 0.9085) Zero Point Vibrational Energy (zpe) 20397.5 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 HF/6-311G**
ABC
0.33922 0.06520 0.05524

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.095 -0.385 0.000
C2 0.000 0.606 0.000
C3 1.283 0.290 0.000
C4 2.407 1.280 0.000
O5 -0.687 -1.653 0.000
O6 -2.244 -0.096 0.000
H7 -0.338 1.627 0.000
H8 1.558 -0.751 0.000
H9 2.043 2.301 0.000
H10 3.036 1.135 0.874
H11 3.036 1.135 -0.874
H12 -1.455 -2.204 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47752.47243.87781.33161.18482.15012.67864.13074.48774.48771.8536
C21.47751.32182.49922.36142.35131.07492.06692.65413.20293.20293.1644
C32.47241.32181.49772.76693.54832.10131.07702.14972.13292.13293.7034
C43.87782.49921.49774.26314.85002.76612.20181.08341.08681.08685.2010
O51.33162.36142.76694.26312.20203.29832.41944.80454.73234.73230.9451
O61.18482.35133.54834.85002.20202.56943.85844.91135.49125.49122.2507
H72.15011.07492.10132.76613.29832.56943.04162.47413.51923.51923.9902
H82.67862.06691.07702.20182.41943.85843.04163.09052.55072.55073.3449
H94.13072.65412.14971.08344.80454.91132.47413.09051.76321.76325.7030
H104.48773.20292.13291.08684.73235.49123.51922.55071.76321.74875.6636
H114.48773.20292.13291.08684.73235.49123.51922.55071.76321.74875.6636
H121.85363.16443.70345.20100.94512.25073.99023.34495.70305.66365.6636

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 123.978 C1 C2 H7 113.853
C1 O5 H12 107.802 C2 C1 O5 114.313
C2 C1 O6 123.691 C2 C3 C4 124.735
C2 C3 H8 118.653 C3 C2 H7 122.169
C3 C4 H9 111.785 C3 C4 H10 110.223
C3 C4 H11 110.223 C4 C3 H8 116.612
O5 C1 O6 121.996 H9 C4 H10 108.676
H9 C4 H11 108.676 H10 C4 H11 107.125
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.592      
2 C -0.278      
3 C -0.065      
4 C -0.204      
5 O -0.433      
6 O -0.462      
7 H 0.122      
8 H 0.131      
9 H 0.103      
10 H 0.110      
11 H 0.110      
12 H 0.273      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.888 -0.474 0.000 2.927
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.613 4.697 0.000
y 4.697 -30.837 0.000
z 0.000 0.000 -36.335
Traceless
 xyz
x -5.027 4.697 0.000
y 4.697 6.637 0.000
z 0.000 0.000 -1.610
Polar
3z2-r2-3.221
x2-y2-7.776
xy4.697
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.486 0.454 0.000
y 0.454 6.527 0.000
z 0.000 0.000 4.259


<r2> (average value of r2) Å2
<r2> 198.006
(<r2>)1/2 14.071