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

using model chemistry: mPW1PW91/STO-3G

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/STO-3G
 hartrees
Energy at 0K-302.431023
Energy at 298.15K-302.437157
HF Energy-302.431023
Nuclear repulsion energy215.475002
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/STO-3G
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' 3791 3332 9.08      
2 A' 3536 3108 0.84      
3 A' 3502 3078 5.36      
4 A' 3486 3064 16.18      
5 A' 3344 2939 0.01      
6 A' 1897 1667 82.16      
7 A' 1854 1629 21.34      
8 A' 1680 1477 9.88      
9 A' 1575 1384 2.00      
10 A' 1502 1320 35.06      
11 A' 1407 1237 0.41      
12 A' 1379 1212 4.90      
13 A' 1294 1138 133.03      
14 A' 1199 1054 16.54      
15 A' 1039 913 5.67      
16 A' 907 797 8.36      
17 A' 584 514 30.10      
18 A' 479 421 3.82      
19 A' 379 333 3.09      
20 A' 173 152 0.53      
21 A" 3496 3072 0.00      
22 A" 1675 1472 5.56      
23 A" 1162 1021 0.58      
24 A" 1097 964 20.88      
25 A" 868 763 0.91      
26 A" 654 575 60.08      
27 A" 599 526 22.68      
28 A" 196 172 0.79      
29 A" 179 157 0.01      
30 A" 83 73 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 22507.3 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 19781.7 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 mPW1PW91/STO-3G
ABC
0.31426 0.06237 0.05255

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.118 -0.381 0.000
C2 0.000 0.638 0.000
C3 1.300 0.317 0.000
C4 2.439 1.323 0.000
O5 -0.617 -1.707 0.000
O6 -2.346 -0.141 0.000
H7 -0.330 1.683 0.000
H8 1.586 -0.744 0.000
H9 2.058 2.352 0.000
H10 3.075 1.181 0.887
H11 3.075 1.181 -0.887
H12 -1.483 -2.250 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51292.51723.94381.41711.25122.20982.72784.18964.56184.56181.9036
C21.51291.33952.53292.42492.47211.09612.10352.67773.24623.24623.2461
C32.51721.33951.51892.78833.67512.12721.09892.17082.16402.16403.7860
C43.94382.53291.51894.30345.00362.79202.23611.09691.10071.10075.3047
O51.41712.42492.78834.30342.33213.40242.40424.86084.77114.77111.0214
O61.25122.47213.67515.00362.33212.71913.97755.06035.65015.65012.2779
H72.20981.09612.12722.79203.40242.71913.09232.47943.55433.55434.0983
H82.72782.10351.09892.23612.40423.97753.09233.13152.59082.59083.4178
H94.18962.67772.17081.09694.86085.06032.47943.13151.78631.78635.8056
H104.56183.24622.16401.10074.77115.65013.55432.59081.78631.77365.7734
H114.56183.24622.16401.10074.77115.65013.55432.59081.78631.77365.7734
H121.90363.24613.78605.30471.02142.27794.09833.41785.80565.77345.7734

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 123.780 C1 C2 H7 114.831
C1 O5 H12 101.403 C2 C1 O5 111.671
C2 C1 O6 126.597 C2 C3 C4 124.668
C2 C3 H8 118.906 C3 C2 H7 121.389
C3 C4 H9 111.144 C3 C4 H10 110.372
C3 C4 H11 110.372 C4 C3 H8 116.426
O5 C1 O6 121.733 H9 C4 H10 108.749
H9 C4 H11 108.749 H10 C4 H11 107.352
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.200      
2 C -0.109      
3 C -0.058      
4 C -0.238      
5 O -0.230      
6 O -0.225      
7 H 0.090      
8 H 0.095      
9 H 0.088      
10 H 0.092      
11 H 0.092      
12 H 0.204      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.411 -0.305 0.000 1.444
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.669 3.584 0.000
y 3.584 -29.028 0.000
z 0.000 0.000 -32.546
Traceless
 xyz
x -2.883 3.584 0.000
y 3.584 4.080 0.000
z 0.000 0.000 -1.197
Polar
3z2-r2-2.394
x2-y2-4.642
xy3.584
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.093 0.667 0.000
y 0.667 4.381 0.000
z 0.000 0.000 1.513


<r2> (average value of r2) Å2
<r2> 204.431
(<r2>)1/2 14.298