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

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-306.453781
Energy at 298.15K-306.460508
HF Energy-306.453781
Nuclear repulsion energy220.226117
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 mPW1PW91/aug-cc-pVDZ
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' 3813 3654 86.51      
2 A' 3224 3089 3.69      
3 A' 3201 3067 3.22      
4 A' 3156 3024 11.05      
5 A' 3048 2921 12.51      
6 A' 1816 1740 482.10      
7 A' 1731 1659 28.66      
8 A' 1460 1399 18.47      
9 A' 1397 1338 105.65      
10 A' 1389 1331 1.94      
11 A' 1327 1272 3.60      
12 A' 1292 1238 6.51      
13 A' 1218 1167 212.80      
14 A' 1132 1085 23.05      
15 A' 979 938 19.29      
16 A' 888 851 22.48      
17 A' 629 603 51.93      
18 A' 503 482 3.31      
19 A' 386 370 3.41      
20 A' 192 184 1.24      
21 A" 3112 2983 8.58      
22 A" 1452 1391 8.90      
23 A" 1067 1022 3.60      
24 A" 1007 965 38.04      
25 A" 875 838 10.66      
26 A" 706 676 34.41      
27 A" 595 570 75.92      
28 A" 215 206 0.29      
29 A" 196 188 0.53      
30 A" 105 101 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 21054.4 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 20176.4 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 mPW1PW91/aug-cc-pVDZ
ABC
0.33013 0.06466 0.05461

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.096 -0.373 0.000
C2 0.000 0.607 0.000
C3 1.300 0.284 0.000
C4 2.419 1.266 0.000
O5 -0.686 -1.663 0.000
O6 -2.271 -0.076 0.000
H7 -0.333 1.644 0.000
H8 1.570 -0.774 0.000
H9 2.057 2.300 0.000
H10 3.060 1.116 0.880
H11 3.060 1.116 -0.880
H12 -1.493 -2.194 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46992.48383.87751.35401.21212.15642.69584.13294.50124.50121.8645
C21.46991.33922.50662.37152.37141.08952.09102.66383.22443.22443.1746
C32.48381.33921.48872.78073.58872.12531.09202.15342.13692.13693.7339
C43.87752.50661.48874.26794.87772.77762.20931.09551.09941.09945.2225
O51.35402.37152.78074.26792.24343.32632.42464.81934.74654.74650.9667
O61.21212.37143.58874.87772.24342.59123.90394.93695.53305.53302.2568
H72.15641.08952.12532.77763.32632.59123.07752.47813.54493.54494.0102
H82.69582.09101.09202.20932.42463.90393.07753.11222.56292.56293.3765
H94.13292.66382.15341.09554.81934.93692.47813.11221.78391.78395.7272
H104.50123.22442.13691.09944.74655.53303.54492.56291.78391.76095.6979
H114.50123.22442.13691.09944.74655.53303.54492.56291.78391.76095.6979
H121.86453.17463.73395.22250.96672.25684.01023.37655.72725.69795.6979

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 124.235 C1 C2 H7 113.995
C1 O5 H12 105.708 C2 C1 O5 114.171
C2 C1 O6 124.023 C2 C3 C4 124.766
C2 C3 H8 118.299 C3 C2 H7 121.770
C3 C4 H9 111.984 C3 C4 H10 110.408
C3 C4 H11 110.408 C4 C3 H8 116.935
O5 C1 O6 121.806 H9 C4 H10 108.721
H9 C4 H11 108.721 H10 C4 H11 106.418
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.553      
2 C 1.113      
3 C 0.563      
4 C 0.039      
5 O -0.556      
6 O -0.607      
7 H -0.640      
8 H -0.589      
9 H -0.171      
10 H 0.030      
11 H 0.030      
12 H 0.235      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.981 -0.268 0.000 2.993
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.260 4.580 0.000
y 4.580 -31.060 0.000
z 0.000 0.000 -36.546
Traceless
 xyz
x -4.458 4.580 0.000
y 4.580 6.343 0.000
z 0.000 0.000 -1.886
Polar
3z2-r2-3.771
x2-y2-7.200
xy4.580
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.518 1.045 0.000
y 1.045 8.449 0.000
z 0.000 0.000 5.979


<r2> (average value of r2) Å2
<r2> 200.022
(<r2>)1/2 14.143