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

using model chemistry: M06-2X/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 M06-2X/cc-pVTZ
 hartrees
Energy at 0K-306.476216
Energy at 298.15K-306.482873
HF Energy-306.476216
Nuclear repulsion energy221.103522
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 M06-2X/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' 3841 3669 107.15      
2 A' 3207 3063 2.61      
3 A' 3194 3051 1.16      
4 A' 3141 3000 8.94      
5 A' 3043 2907 8.05      
6 A' 1858 1775 472.55      
7 A' 1750 1672 25.56      
8 A' 1484 1418 16.54      
9 A' 1409 1346 75.70      
10 A' 1402 1339 44.09      
11 A' 1338 1278 3.43      
12 A' 1296 1238 6.28      
13 A' 1222 1167 214.27      
14 A' 1132 1081 24.28      
15 A' 983 939 12.96      
16 A' 894 854 22.28      
17 A' 643 614 55.09      
18 A' 507 484 3.32      
19 A' 390 372 2.88      
20 A' 197 188 1.25      
21 A" 3098 2959 6.16      
22 A" 1475 1409 8.31      
23 A" 1083 1034 4.56      
24 A" 1020 974 38.16      
25 A" 887 847 13.82      
26 A" 711 680 35.28      
27 A" 575 549 84.99      
28 A" 204 195 0.58      
29 A" 182 174 0.41      
30 A" 74 70 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 21120.6 cm-1
Scaled (by 0.9551) Zero Point Vibrational Energy (zpe) 20172.3 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 M06-2X/cc-pVTZ
ABC
0.33265 0.06517 0.05505

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.094 -0.375 0.000
C2 0.000 0.612 0.000
C3 1.287 0.286 0.000
C4 2.408 1.269 0.000
O5 -0.673 -1.658 0.000
O6 -2.262 -0.087 0.000
H7 -0.333 1.642 0.000
H8 1.551 -0.766 0.000
H9 2.043 2.294 0.000
H10 3.042 1.121 0.876
H11 3.042 1.121 -0.876
H12 -1.470 -2.204 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47402.47163.86861.34991.20242.15592.67404.11914.48534.48531.8672
C21.47401.32802.49562.36812.36731.08212.07512.64613.20663.20663.1772
C32.47161.32801.49042.76103.56842.11301.08482.14552.13192.13193.7154
C43.86862.49561.49044.24964.86222.76632.20791.08811.09151.09155.2057
O51.34992.36812.76104.24962.23353.31732.39664.79554.72214.72210.9659
O61.20242.36733.56844.86222.23352.59003.87264.91945.50995.50992.2601
H72.15591.08212.11302.76633.31732.59003.05772.46423.52613.52614.0106
H82.67402.07511.08482.20792.39663.87263.05773.09942.56002.56003.3459
H94.11912.64612.14551.08814.79554.91942.46423.09941.77221.77225.7075
H104.48533.20662.13191.09154.72215.50993.52612.56001.77221.75145.6735
H114.48533.20662.13191.09154.72215.50993.52612.56001.77221.75145.6735
H121.86723.17723.71545.20570.96592.26014.01063.34595.70755.67355.6735

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 123.704 C1 C2 H7 114.131
C1 O5 H12 106.285 C2 C1 O5 113.911
C2 C1 O6 124.073 C2 C3 C4 124.521
C2 C3 H8 118.301 C3 C2 H7 122.165
C3 C4 H9 111.674 C3 C4 H10 110.369
C3 C4 H11 110.369 C4 C3 H8 117.178
O5 C1 O6 122.017 H9 C4 H10 108.793
H9 C4 H11 108.793 H10 C4 H11 106.696
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.332      
2 C -0.201      
3 C -0.084      
4 C -0.318      
5 O -0.317      
6 O -0.352      
7 H 0.159      
8 H 0.166      
9 H 0.112      
10 H 0.120      
11 H 0.120      
12 H 0.265      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.734 -0.353 0.000 2.757
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.009 4.578 0.000
y 4.578 -30.875 0.000
z 0.000 0.000 -36.466
Traceless
 xyz
x -4.338 4.578 0.000
y 4.578 6.363 0.000
z 0.000 0.000 -2.025
Polar
3z2-r2-4.049
x2-y2-7.134
xy4.578
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.435 0.869 0.000
y 0.869 7.627 0.000
z 0.000 0.000 5.029


<r2> (average value of r2) Å2
<r2> 198.498
(<r2>)1/2 14.089