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All results from a given calculation for C4H6O2 (2-Propenoic acid, methyl ester)

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/6-311G**
 hartrees
Energy at 0K-306.188036
Energy at 298.15K-306.194497
Nuclear repulsion energy226.296743
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 PBEPBE/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 3176 3147 3.15      
2 A 3119 3090 4.11      
3 A 3098 3070 15.81      
4 A 3079 3051 4.67      
5 A 3053 3025 20.90      
6 A 2980 2953 28.69      
7 A 1739 1723 161.51      
8 A 1644 1629 20.75      
9 A 1447 1434 7.43      
10 A 1427 1414 9.86      
11 A 1415 1402 24.60      
12 A 1380 1368 55.42      
13 A 1282 1270 50.31      
14 A 1170 1159 180.51      
15 A 1153 1143 164.06      
16 A 1129 1119 0.19      
17 A 1042 1033 2.30      
18 A 994 985 20.08      
19 A 994 985 23.26      
20 A 953 945 20.57      
21 A 842 834 10.33      
22 A 796 789 24.13      
23 A 647 641 3.90      
24 A 515 510 0.03      
25 A 462 458 1.40      
26 A 330 327 15.97      
27 A 214 212 3.39      
28 A 203 201 3.96      
29 A 110 109 0.02      
30 A 99 99 3.26      

Unscaled Zero Point Vibrational Energy (zpe) 20245.9 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20061.6 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 PBEPBE/6-311G**
ABC
0.33769 0.07702 0.06348

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 3.043 -0.898 -0.001
H2 2.422 0.544 0.894
H3 2.421 0.545 -0.893
C4 2.307 -0.087 -0.000
O5 1.018 -0.736 -0.000
O6 0.064 1.333 0.000
C7 -0.046 0.120 0.000
H8 -1.239 -1.737 0.001
C9 -1.318 -0.648 0.000
H10 -3.443 -0.556 -0.000
H11 -2.527 1.080 -0.001
C12 -2.497 -0.012 -0.000

Atom - Atom Distances (Å)
  H1 H2 H3 C4 O5 O6 C7 H8 C9 H10 H11 C12
H11.80691.80691.09572.03163.72233.25234.36264.36836.49515.91065.6103
H21.80691.78701.09982.09932.64252.65854.40424.02566.03405.05745.0304
H31.80691.78701.09982.09932.64182.65814.40444.02546.03345.05635.0298
C41.09571.09981.09981.44302.65472.36163.91033.66805.76904.97234.8043
O52.03162.09932.09931.44302.27841.36512.46842.33764.46463.98253.5885
O63.72232.64252.64182.65472.27841.21833.33512.41543.98372.60292.8930
C73.25232.65852.65812.36161.36511.21832.20701.48603.46402.66012.4548
H84.36264.40424.40443.91032.46843.33512.20701.09232.50113.09782.1350
C94.36834.02564.02543.66802.33762.41541.48601.09232.12702.10851.3391
H106.49516.03406.03345.76904.46463.98373.46402.50112.12701.87561.0913
H115.91065.05745.05634.97233.98252.60292.66013.09782.10851.87561.0930
C125.61035.03045.02984.80433.58852.89302.45482.13501.33911.09131.0930

picture of 2-Propenoic acid, methyl ester state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C4 H2 110.770 H1 C4 H3 110.771
H1 C4 O5 105.494 H2 C4 H3 108.661
H2 C4 O5 110.568 H3 C4 O5 110.569
C4 O5 C7 114.461 O5 C7 O6 123.654
O5 C7 C9 110.077 O6 C7 C9 126.269
C7 C9 H8 116.915 C7 C9 C12 120.581
H8 C9 C12 122.504 C9 C12 H10 121.797
C9 C12 H11 119.868 H10 C12 H11 118.335
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.131      
2 H 0.137      
3 H 0.137      
4 C -0.176      
5 O -0.292      
6 O -0.320      
7 C 0.349      
8 H 0.123      
9 C -0.201      
10 H 0.127      
11 H 0.136      
12 C -0.151      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.187 -1.439 -0.000 1.451
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.473 0.737 0.000
y 0.737 -38.495 -0.002
z 0.000 -0.002 -36.298
Traceless
 xyz
x 10.924 0.737 0.000
y 0.737 -7.110 -0.002
z 0.000 -0.002 -3.814
Polar
3z2-r2-7.628
x2-y212.022
xy0.737
xz0.000
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.754 -0.475 0.001
y -0.475 7.303 -0.001
z 0.001 -0.001 4.536


<r2> (average value of r2) Å2
<r2> 178.631
(<r2>)1/2 13.365