return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2H4CO3 (Ethylene carbonate)

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 1A1
1 2 yes C2 1A

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-342.158419
Energy at 298.15K 
HF Energy-342.158419
Nuclear repulsion energy243.910346
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 PBEPBEultrafine/aug-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 A1 2976 2943 63.40      
2 A1 1856 1835 583.70      
3 A1 1492 1475 0.59      
4 A1 1340 1325 0.08      
5 A1 1140 1127 210.49      
6 A1 927 917 7.97      
7 A1 794 785 38.24      
8 A1 700 692 0.65      
9 A2 2997 2963 0.00      
10 A2 1214 1200 0.00      
11 A2 1126 1113 0.00      
12 A2 165i 163i 0.00      
13 B1 3021 2987 37.04      
14 B1 1224 1210 1.58      
15 B1 832 823 0.16      
16 B1 724 716 15.16      
17 B1 147 145 1.39      
18 B2 2970 2936 22.04      
19 B2 1480 1464 4.47      
20 B2 1357 1342 8.92      
21 B2 1133 1121 0.58      
22 B2 983 972 280.85      
23 B2 718 710 5.36      
24 B2 485 480 0.56      

Unscaled Zero Point Vibrational Energy (zpe) 15734.0 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 15557.8 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.25930 0.12665 0.08795

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.872
O2 0.000 0.000 2.064
O3 0.000 1.141 0.058
O4 0.000 -1.141 0.058
C5 0.000 0.776 -1.295
C6 0.000 -0.776 -1.295
H7 -0.894 1.192 -1.782
H8 0.894 1.192 -1.782
H9 0.894 -1.192 -1.782
H10 -0.894 -1.192 -1.782

Atom - Atom Distances (Å)
  C1 O2 O3 O4 C5 C6 H7 H8 H9 H10
C11.19161.40141.40142.30232.30233.04433.04433.04433.0443
O21.19162.30762.30763.44773.44774.12494.12494.12494.1249
O31.40142.30762.28101.40142.34602.04652.04653.10283.1028
O41.40142.30762.28102.34601.40143.10283.10282.04652.0465
C52.30233.44771.40142.34601.55191.09961.09962.21582.2158
C62.30233.44772.34601.40141.55192.21582.21581.09961.0996
H73.04434.12492.04653.10281.09962.21581.78702.97982.3845
H83.04434.12492.04653.10281.09962.21581.78702.38452.9798
H93.04434.12493.10282.04652.21581.09962.97982.38451.7870
H103.04434.12493.10282.04652.21581.09962.38452.97981.7870

picture of Ethylene carbonate state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O3 C5 110.450 C1 O4 C6 110.450
O2 C1 O3 125.529 O2 C1 O4 125.529
O3 C1 O4 108.943 O3 C5 C6 105.078
O3 C5 H7 109.231 O3 C5 H8 109.231
O4 C6 C5 105.078 O4 C6 H9 109.231
O4 C6 H10 109.231 C5 C6 H9 112.247
C5 C6 H10 112.247 C6 C5 H7 112.247
C6 C5 H8 112.247 H7 C5 H8 108.699
H9 C6 H10 108.699
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.345      
2 O -0.438      
3 O -0.263      
4 O -0.263      
5 C -0.120      
6 C -0.120      
7 H 0.215      
8 H 0.215      
9 H 0.215      
10 H 0.215      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -4.757 4.757
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.573 0.000 0.000
y 0.000 -36.424 0.000
z 0.000 0.000 -36.574
Traceless
 xyz
x 3.926 0.000 0.000
y 0.000 -1.850 0.000
z 0.000 0.000 -2.076
Polar
3z2-r2-4.151
x2-y23.851
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.423 0.000 0.000
y 0.000 6.902 0.000
z 0.000 0.000 9.057


<r2> (average value of r2) Å2
<r2> 130.436
(<r2>)1/2 11.421

Conformer 2 (C2)

Jump to S1C1
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-342.159037
Energy at 298.15K-342.165294
HF Energy-342.159037
Nuclear repulsion energy244.411261
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 PBEPBEultrafine/aug-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 3027 2993 19.93      
2 A 2951 2917 33.95      
3 A 1859 1838 570.45      
4 A 1480 1463 0.76      
5 A 1343 1328 1.40      
6 A 1215 1202 15.29      
7 A 1147 1134 105.29      
8 A 1104 1091 87.11      
9 A 931 920 3.78      
10 A 789 780 40.93      
11 A 697 689 0.85      
12 A 127 126 0.32      
13 B 3037 3003 20.74      
14 B 2958 2924 43.80      
15 B 1472 1456 5.73      
16 B 1348 1333 7.48      
17 B 1223 1209 3.92      
18 B 1115 1102 2.62      
19 B 978 967 248.21      
20 B 860 850 21.32      
21 B 731 723 15.38      
22 B 662 655 1.95      
23 B 485 480 0.78      
24 B 155 153 1.25      

Unscaled Zero Point Vibrational Energy (zpe) 15845.3 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 15667.8 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.26068 0.12704 0.08905

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.868
O2 0.000 0.000 2.059
O3 0.000 1.141 0.048
O4 0.000 -1.141 0.048
C5 0.188 0.746 -1.287
C6 -0.188 -0.746 -1.287
H7 -0.457 1.349 -1.938
H8 1.240 0.906 -1.572
H9 0.457 -1.349 -1.938
H10 -1.240 -0.906 -1.572

Atom - Atom Distances (Å)
  C1 O2 O3 O4 C5 C6 H7 H8 H9 H10
C11.19121.40471.40472.28772.28773.14672.88353.14672.8835
O21.19122.31192.31193.43303.43304.24323.94304.24323.9430
O31.40472.31192.28151.40472.31862.04862.05423.21762.8905
O41.40472.31192.28152.31861.40473.21762.89052.04862.0542
C52.28773.43301.40472.31861.53791.09721.10252.21022.2023
C62.28773.43302.31861.40471.53792.21022.20231.09721.1025
H73.14674.24322.04863.21761.09722.21021.79202.84902.4153
H82.88353.94302.05422.89051.10252.20231.79202.41533.0723
H93.14674.24323.21762.04862.21021.09722.84902.41531.7920
H102.88353.94302.89052.05422.20231.10252.41533.07231.7920

picture of Ethylene carbonate state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O3 C5 109.035 C1 O4 C6 109.035
O2 C1 O3 125.699 O2 C1 O4 125.699
O3 C1 O4 108.601 O3 C5 C6 103.894
O3 C5 H7 109.315 O3 C5 H8 109.440
O4 C6 C5 103.894 O4 C6 H9 109.315
O4 C6 H10 109.440 C5 C6 H9 112.948
C5 C6 H10 111.979 C6 C5 H7 112.948
C6 C5 H8 111.979 H7 C5 H8 109.103
H9 C6 H10 109.103
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.373      
2 O -0.449      
3 O -0.277      
4 O -0.277      
5 C -0.130      
6 C -0.130      
7 H 0.244      
8 H 0.201      
9 H 0.244      
10 H 0.201      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -4.718 4.718
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.684 0.233 0.000
y 0.233 -36.456 0.000
z 0.000 0.000 -36.359
Traceless
 xyz
x 3.724 0.233 0.000
y 0.233 -1.935 0.000
z 0.000 0.000 -1.789
Polar
3z2-r2-3.578
x2-y23.772
xy0.233
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.562 0.183 0.000
y 0.183 6.833 0.000
z 0.000 0.000 9.013


<r2> (average value of r2) Å2
<r2> 129.458
(<r2>)1/2 11.378