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: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-306.240620
Energy at 298.15K-306.247166
HF Energy-306.240620
Nuclear repulsion energy219.123168
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/cc-pVTZ
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' 3636 3611 56.49      
2 A' 3110 3089 5.62      
3 A' 3087 3065 4.17      
4 A' 3048 3027 10.53      
5 A' 2955 2935 11.15      
6 A' 1733 1721 354.13      
7 A' 1657 1646 29.44      
8 A' 1430 1420 19.29      
9 A' 1352 1343 11.53      
10 A' 1335 1326 64.69      
11 A' 1292 1283 4.07      
12 A' 1255 1247 5.79      
13 A' 1153 1145 186.49      
14 A' 1090 1082 45.41      
15 A' 944 937 28.29      
16 A' 851 845 22.68      
17 A' 605 601 48.11      
18 A' 486 482 2.51      
19 A' 373 370 2.98      
20 A' 186 185 1.04      
21 A" 3002 2981 8.74      
22 A" 1421 1412 8.51      
23 A" 1032 1025 1.97      
24 A" 979 972 32.95      
25 A" 842 836 7.62      
26 A" 680 675 32.84      
27 A" 566 562 67.40      
28 A" 208 207 0.25      
29 A" 185 184 0.72      
30 A" 100 100 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 20295.3 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 20155.3 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/cc-pVTZ
ABC
0.32511 0.06414 0.05411

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.099 -0.377 0.000
C2 0.000 0.603 0.000
C3 1.306 0.292 0.000
C4 2.419 1.283 0.000
O5 -0.679 -1.681 0.000
O6 -2.282 -0.079 0.000
H7 -0.337 1.641 0.000
H8 1.585 -0.765 0.000
H9 2.053 2.318 0.000
H10 3.067 1.140 0.880
H11 3.067 1.140 -0.880
H12 -1.503 -2.206 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47282.49653.89061.36981.22002.15742.71214.14724.52034.52031.8734
C21.47281.34252.51312.38272.38211.09162.09422.67493.23553.23553.1863
C32.49651.34251.49062.79853.60742.12631.09392.15912.14352.14353.7592
C43.89062.51311.49064.28764.89502.77992.21221.09741.10181.10185.2499
O51.36982.38272.79854.28762.26633.33962.44174.84274.77104.77100.9774
O61.22002.38213.60744.89502.26632.59673.92774.95395.55665.55662.2655
H72.15741.09162.12632.77993.33962.59673.08042.48443.55183.55184.0204
H82.71212.09421.09392.21222.44173.92773.08043.11872.56952.56953.4074
H94.14722.67492.15911.09744.84274.95392.48443.11871.78571.78575.7544
H104.52033.23552.14351.10184.77105.55663.55182.56951.78571.75965.7321
H114.52033.23552.14351.10184.77105.55663.55182.56951.78571.75965.7321
H121.87343.18633.75925.24990.97742.26554.02043.40745.75445.73215.7321

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 124.874 C1 C2 H7 113.723
C1 O5 H12 104.662 C2 C1 O5 113.855
C2 C1 O6 124.143 C2 C3 C4 124.926
C2 C3 H8 118.177 C3 C2 H7 121.403
C3 C4 H9 112.183 C3 C4 H10 110.651
C3 C4 H11 110.651 C4 C3 H8 116.897
O5 C1 O6 122.002 H9 C4 H10 108.578
H9 C4 H11 108.578 H10 C4 H11 105.974
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.252      
2 C -0.162      
3 C -0.065      
4 C -0.260      
5 O -0.227      
6 O -0.292      
7 H 0.114      
8 H 0.119      
9 H 0.101      
10 H 0.110      
11 H 0.110      
12 H 0.201      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.713 -0.272 0.000 2.727
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.653 4.523 0.000
y 4.523 -31.173 0.000
z 0.000 0.000 -36.414
Traceless
 xyz
x -3.859 4.523 0.000
y 4.523 5.860 0.000
z 0.000 0.000 -2.001
Polar
3z2-r2-4.002
x2-y2-6.480
xy4.523
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.402 1.267 0.000
y 1.267 8.419 0.000
z 0.000 0.000 5.184


<r2> (average value of r2) Å2
<r2> 201.527
(<r2>)1/2 14.196