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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-306.416007
Energy at 298.15K-306.422691
HF Energy-306.416007
Nuclear repulsion energy220.495709
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 mPW1PW91/6-31G**
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' 3836 3650 78.00      
2 A' 3234 3077 4.02      
3 A' 3208 3053 4.52      
4 A' 3167 3014 10.53      
5 A' 3062 2914 13.26      
6 A' 1860 1770 394.74      
7 A' 1747 1662 28.68      
8 A' 1497 1424 16.46      
9 A' 1424 1355 53.74      
10 A' 1417 1348 73.56      
11 A' 1340 1275 3.11      
12 A' 1303 1239 5.71      
13 A' 1219 1160 208.97      
14 A' 1136 1080 24.21      
15 A' 989 941 12.73      
16 A' 898 855 20.61      
17 A' 631 601 57.63      
18 A' 504 480 3.88      
19 A' 386 368 3.30      
20 A' 192 183 1.06      
21 A" 3126 2974 10.98      
22 A" 1490 1418 9.23      
23 A" 1080 1027 1.55      
24 A" 1020 970 33.50      
25 A" 869 827 14.75      
26 A" 708 674 52.58      
27 A" 590 561 78.24      
28 A" 209 199 0.21      
29 A" 193 184 0.56      
30 A" 102 97 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 21217.9 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 20188.8 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 mPW1PW91/6-31G**
ABC
0.33138 0.06477 0.05472

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.097 -0.372 0.000
C2 0.000 0.607 0.000
C3 1.296 0.283 0.000
C4 2.418 1.262 0.000
O5 -0.681 -1.658 0.000
O6 -2.272 -0.077 0.000
H7 -0.331 1.641 0.000
H8 1.562 -0.772 0.000
H9 2.062 2.293 0.000
H10 3.058 1.115 0.877
H11 3.058 1.115 -0.877
H12 -1.490 -2.189 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47082.48133.87671.35131.21152.15382.68924.13314.49954.49951.8587
C21.47081.33642.50552.36582.37251.08492.08412.66323.22153.22153.1684
C32.48131.33641.48942.77103.58622.11941.08752.15152.13682.13683.7243
C43.87672.50551.48944.25874.87752.77522.20671.09141.09521.09525.2136
O51.35132.36582.77104.25872.24283.31732.41254.81034.73764.73760.9669
O61.21152.37253.58624.87752.24282.59163.89674.93915.53135.53132.2526
H72.15381.08492.11942.77523.31732.59163.06662.47983.53953.53954.0011
H82.68922.08411.08752.20672.41253.89673.06663.10562.56282.56283.3649
H94.13312.66322.15151.09144.81034.93912.47983.10561.77461.77465.7186
H104.49953.22152.13681.09524.73765.53133.53952.56281.77461.75405.6893
H114.49953.22152.13681.09524.73765.53133.53952.56281.77461.75405.6893
H121.85873.16843.72435.21360.96692.25264.00113.36495.71865.68935.6893

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 124.166 C1 C2 H7 114.015
C1 O5 H12 105.398 C2 C1 O5 113.860
C2 C1 O6 124.102 C2 C3 C4 124.819
C2 C3 H8 118.226 C3 C2 H7 121.820
C3 C4 H9 112.028 C3 C4 H10 110.605
C3 C4 H11 110.605 C4 C3 H8 116.955
O5 C1 O6 122.037 H9 C4 H10 108.502
H9 C4 H11 108.502 H10 C4 H11 106.405
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.591      
2 C -0.172      
3 C -0.071      
4 C -0.443      
5 O -0.522      
6 O -0.493      
7 H 0.146      
8 H 0.159      
9 H 0.150      
10 H 0.159      
11 H 0.159      
12 H 0.336      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.651 -0.414 0.000 2.683
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.889 4.681 0.000
y 4.681 -30.092 0.000
z 0.000 0.000 -35.580
Traceless
 xyz
x -4.053 4.681 0.000
y 4.681 6.142 0.000
z 0.000 0.000 -2.090
Polar
3z2-r2-4.180
x2-y2-6.797
xy4.681
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.846 0.825 0.000
y 0.825 6.968 0.000
z 0.000 0.000 3.881


<r2> (average value of r2) Å2
<r2> 198.961
(<r2>)1/2 14.105