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: PBE1PBE/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 PBE1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-342.160087
Energy at 298.15K 
HF Energy-342.160087
Nuclear repulsion energy246.825130
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 PBE1PBE/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 3066 2948 61.34      
2 A1 1946 1871 666.91      
3 A1 1547 1487 0.91      
4 A1 1398 1345 0.00      
5 A1 1234 1186 246.09      
6 A1 967 930 8.66      
7 A1 853 820 37.24      
8 A1 733 705 0.89      
9 A2 3089 2970 0.00      
10 A2 1261 1213 0.00      
11 A2 1170 1125 0.00      
12 A2 170i 163i 0.00      
13 B1 3113 2993 35.26      
14 B1 1274 1225 2.29      
15 B1 861 828 0.38      
16 B1 777 747 21.95      
17 B1 145 140 1.34      
18 B2 3059 2941 20.38      
19 B2 1534 1475 6.71      
20 B2 1415 1361 13.01      
21 B2 1219 1172 4.40      
22 B2 1063 1022 299.24      
23 B2 759 730 1.58      
24 B2 513 493 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 16413.3 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 15781.4 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 PBE1PBE/aug-cc-pVTZ
ABC
0.26565 0.12965 0.09008

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.862
O2 0.000 0.000 2.040
O3 0.000 1.124 0.057
O4 0.000 -1.124 0.057
C5 0.000 0.771 -1.279
C6 0.000 -0.771 -1.279
H7 -0.887 1.183 -1.765
H8 0.887 1.183 -1.765
H9 0.887 -1.183 -1.765
H10 -0.887 -1.183 -1.765

Atom - Atom Distances (Å)
  C1 O2 O3 O4 C5 C6 H7 H8 H9 H10
C11.17871.38181.38182.27512.27513.01433.01433.01433.0143
O21.17872.27932.27933.40753.40754.08264.08264.08264.0826
O31.38182.27932.24711.38182.31822.02752.02753.07043.0704
O41.38182.27932.24712.31821.38183.07043.07042.02752.0275
C52.27513.40751.38182.31821.54201.09191.09192.20022.2002
C62.27513.40752.31821.38181.54202.20022.20021.09191.0919
H73.01434.08262.02753.07041.09192.20021.77302.95672.3661
H83.01434.08262.02753.07041.09192.20021.77302.36612.9567
H93.01434.08263.07042.02752.20021.09192.95672.36611.7730
H103.01434.08263.07042.02752.20021.09192.36612.95671.7730

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 110.817 C1 O4 C6 110.817
O2 C1 O3 125.600 O2 C1 O4 125.600
O3 C1 O4 108.800 O3 C5 C6 104.783
O3 C5 H7 109.537 O3 C5 H8 109.537
O4 C6 C5 104.783 O4 C6 H9 109.537
O4 C6 H10 109.537 C5 C6 H9 112.172
C5 C6 H10 112.172 C6 C5 H7 112.172
C6 C5 H8 112.172 H7 C5 H8 108.560
H9 C6 H10 108.560
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.350      
2 O -0.478      
3 O -0.258      
4 O -0.258      
5 C -0.171      
6 C -0.171      
7 H 0.246      
8 H 0.246      
9 H 0.246      
10 H 0.246      


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 -4.858 4.858
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.153 0.000 0.000
y 0.000 -36.113 0.000
z 0.000 0.000 -36.415
Traceless
 xyz
x 4.110 0.000 0.000
y 0.000 -1.829 0.000
z 0.000 0.000 -2.281
Polar
3z2-r2-4.563
x2-y23.960
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.143 0.000 0.000
y 0.000 6.410 0.000
z 0.000 0.000 8.384


<r2> (average value of r2) Å2
<r2> 127.766
(<r2>)1/2 11.303

Conformer 2 (C2)

Jump to S1C1
Energy calculated at PBE1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-342.160600
Energy at 298.15K-342.166986
HF Energy-342.160600
Nuclear repulsion energy247.294302
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 PBE1PBE/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 3116 2996 18.44      
2 A 3043 2926 34.08      
3 A 1949 1874 653.16      
4 A 1535 1476 1.18      
5 A 1402 1348 2.05      
6 A 1265 1216 26.32      
7 A 1229 1181 187.97      
8 A 1159 1114 27.29      
9 A 968 931 3.64      
10 A 849 816 40.23      
11 A 731 702 1.09      
12 A 111 106 0.32      
13 B 3127 3007 20.90      
14 B 3048 2931 39.25      
15 B 1527 1468 7.81      
16 B 1408 1354 11.47      
17 B 1277 1228 5.26      
18 B 1197 1151 3.92      
19 B 1056 1016 282.92      
20 B 899 864 6.74      
21 B 783 753 22.17      
22 B 698 672 0.63      
23 B 513 494 0.12      
24 B 150 145 1.20      

Unscaled Zero Point Vibrational Energy (zpe) 16520.2 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 15884.2 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 PBE1PBE/aug-cc-pVTZ
ABC
0.26691 0.13003 0.09110

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.858
O2 0.000 0.000 2.036
O3 0.000 1.124 0.049
O4 0.000 -1.124 0.049
C5 0.177 0.744 -1.271
C6 -0.177 -0.744 -1.271
H7 -0.477 1.335 -1.913
H8 1.216 0.916 -1.568
H9 0.477 -1.335 -1.913
H10 -1.216 -0.916 -1.568

Atom - Atom Distances (Å)
  C1 O2 O3 O4 C5 C6 H7 H8 H9 H10
C11.17831.38461.38462.26192.26193.11172.86413.11172.8641
O21.17832.28292.28293.39423.39424.19513.91254.19513.9125
O31.38462.28292.24751.38462.29382.02942.03383.18072.8733
O41.38462.28292.24752.29381.38463.18072.87332.02942.0338
C52.26193.39421.38462.29381.52961.08971.09462.19592.1878
C62.26193.39422.29381.38461.52962.19592.18781.08971.0946
H73.11174.19512.02943.18071.08972.19591.77742.83412.3943
H82.86413.91252.03382.87331.09462.18781.77742.39433.0457
H93.11174.19513.18072.02942.19591.08972.83412.39431.7774
H102.86413.91252.87332.03382.18781.09462.39433.04571.7774

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 109.529 C1 O4 C6 109.529
O2 C1 O3 125.748 O2 C1 O4 125.748
O3 C1 O4 108.505 O3 C5 C6 103.722
O3 C5 H7 109.634 O3 C5 H8 109.683
O4 C6 C5 103.722 O4 C6 H9 109.634
O4 C6 H10 109.683 C5 C6 H9 112.855
C5 C6 H10 111.894 C6 C5 H7 112.855
C6 C5 H8 111.894 H7 C5 H8 108.923
H9 C6 H10 108.923
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.380      
2 O -0.489      
3 O -0.273      
4 O -0.273      
5 C -0.184      
6 C -0.184      
7 H 0.275      
8 H 0.236      
9 H 0.275      
10 H 0.236      


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 -4.823 4.823
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.247 0.224 0.000
y 0.224 -36.138 0.000
z 0.000 0.000 -36.221
Traceless
 xyz
x 3.932 0.224 0.000
y 0.224 -1.903 0.000
z 0.000 0.000 -2.029
Polar
3z2-r2-4.058
x2-y23.891
xy0.224
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.251 0.158 0.000
y 0.158 6.349 0.000
z 0.000 0.000 8.350


<r2> (average value of r2) Å2
<r2> 126.887
(<r2>)1/2 11.264