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

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-306.491366
Energy at 298.15K-306.498078
HF Energy-306.491366
Nuclear repulsion energy220.928800
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 mPW1PW91/6-311G**
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' 3834 3668 84.06      
2 A' 3210 3071 4.41      
3 A' 3186 3048 3.93      
4 A' 3144 3008 12.21      
5 A' 3046 2914 13.04      
6 A' 1843 1764 429.35      
7 A' 1734 1659 29.42      
8 A' 1484 1420 18.99      
9 A' 1410 1349 31.22      
10 A' 1402 1341 79.11      
11 A' 1337 1279 4.63      
12 A' 1298 1241 5.99      
13 A' 1217 1164 223.90      
14 A' 1131 1082 27.17      
15 A' 984 941 16.01      
16 A' 892 854 22.58      
17 A' 637 609 57.75      
18 A' 505 484 3.47      
19 A' 386 370 3.03      
20 A' 193 184 1.06      
21 A" 3103 2968 11.80      
22 A" 1478 1414 10.64      
23 A" 1077 1030 2.65      
24 A" 1019 974 40.35      
25 A" 878 840 14.26      
26 A" 711 681 40.20      
27 A" 580 555 83.91      
28 A" 210 201 0.28      
29 A" 193 185 0.74      
30 A" 103 98 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21111.0 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 20196.9 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 mPW1PW91/6-311G**
ABC
0.33258 0.06500 0.05492

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

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 1.293 0.283 0.000
C4 2.415 1.260 0.000
O5 -0.682 -1.656 0.000
O6 -2.265 -0.077 0.000
H7 -0.332 1.639 0.000
H8 1.557 -0.771 0.000
H9 2.060 2.291 0.000
H10 3.053 1.111 0.876
H11 3.053 1.111 -0.876
H12 -1.484 -2.190 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46982.47793.87211.34991.20502.15092.68324.12934.49314.49311.8592
C21.46981.33302.50162.36342.36591.08402.07882.66043.21633.21633.1663
C32.47791.33301.48742.76783.57632.11631.08652.14912.13342.13343.7190
C43.87212.50161.48744.25354.86702.77292.20471.09041.09431.09435.2064
O51.34992.36342.76784.25352.23643.31342.40704.80564.73024.73020.9640
O61.20502.36593.57634.86702.23642.58453.88424.93035.51935.51932.2528
H72.15091.08402.11632.77293.31342.58453.06162.47893.53633.53633.9984
H82.68322.07881.08652.20472.40703.88423.06163.10282.55922.55923.3559
H94.12932.66042.14911.09044.80564.93032.47893.10281.77391.77395.7130
H104.49313.21632.13341.09434.73025.51933.53632.55921.77391.75275.6794
H114.49313.21632.13341.09434.73025.51933.53632.55921.77391.75275.6794
H121.85923.16633.71905.20640.96402.25283.99843.35595.71305.67945.6794

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 124.206 C1 C2 H7 113.905
C1 O5 H12 105.716 C2 C1 O5 113.833
C2 C1 O6 124.095 C2 C3 C4 124.897
C2 C3 H8 118.093 C3 C2 H7 121.889
C3 C4 H9 112.035 C3 C4 H10 110.524
C3 C4 H11 110.524 C4 C3 H8 117.010
O5 C1 O6 122.072 H9 C4 H10 108.576
H9 C4 H11 108.576 H10 C4 H11 106.417
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.412      
2 C -0.234      
3 C -0.093      
4 C -0.311      
5 O -0.352      
6 O -0.364      
7 H 0.131      
8 H 0.139      
9 H 0.130      
10 H 0.142      
11 H 0.142      
12 H 0.256      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.661 -0.389 0.000 2.689
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.393 4.678 0.000
y 4.678 -30.601 0.000
z 0.000 0.000 -36.074
Traceless
 xyz
x -4.056 4.678 0.000
y 4.678 6.133 0.000
z 0.000 0.000 -2.077
Polar
3z2-r2-4.154
x2-y2-6.792
xy4.678
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.225 0.863 0.000
y 0.863 7.295 0.000
z 0.000 0.000 4.394


<r2> (average value of r2) Å2
<r2> 198.651
(<r2>)1/2 14.094