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All results from a given calculation for C4H6O2 (γ–Butyrolactone)

using model chemistry: wB97X-D/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at wB97X-D/3-21G
 hartrees
Energy at 0K-304.716359
Energy at 298.15K 
HF Energy-304.716359
Nuclear repulsion energy238.463735
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 wB97X-D/3-21G
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 3206 3206 5.09      
2 A 3198 3198 15.24      
3 A 3186 3186 6.00      
4 A 3130 3130 11.37      
5 A 3115 3115 31.65      
6 A 3108 3108 3.23      
7 A 1882 1882 294.25      
8 A 1581 1581 0.93      
9 A 1555 1555 10.18      
10 A 1519 1519 15.35      
11 A 1409 1409 1.28      
12 A 1394 1394 1.97      
13 A 1351 1351 9.18      
14 A 1293 1293 7.10      
15 A 1252 1252 4.73      
16 A 1216 1216 2.80      
17 A 1152 1152 194.36      
18 A 1128 1128 46.74      
19 A 1052 1052 24.93      
20 A 1016 1016 50.54      
21 A 946 946 2.25      
22 A 920 920 14.53      
23 A 896 896 15.34      
24 A 795 795 6.06      
25 A 687 687 6.79      
26 A 645 645 4.20      
27 A 539 539 2.30      
28 A 483 483 2.70      
29 A 216 216 3.81      
30 A 149 149 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 22008.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22008.0 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 wB97X-D/3-21G
ABC
0.23924 0.11692 0.08379

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.898 0.003 0.004
C2 -0.029 1.210 0.186
C3 -1.402 0.674 -0.244
C4 -1.294 -0.817 0.139
O5 0.126 -1.151 -0.045
O6 2.105 -0.029 -0.076
H7 0.334 2.052 -0.401
H8 -0.025 1.487 1.247
H9 -1.519 0.773 -1.326
H10 -2.237 1.165 0.256
H11 -1.875 -1.477 -0.502
H12 -1.559 -0.977 1.188

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53282.40892.34401.38901.21052.16432.14462.86443.35323.18392.8974
C21.53281.53552.39012.37722.48131.08941.09622.16792.21013.33222.8508
C32.40891.53551.54402.38873.58112.22232.18631.09301.09022.21812.1915
C42.34402.39011.54401.46983.49613.34352.85462.17402.19831.08841.0934
O51.38902.37722.38871.46982.27583.22992.94132.83683.32222.07842.0944
O61.21052.48133.58113.49612.27582.75192.93023.91674.51594.25733.9902
H72.16431.08942.22233.34353.22992.75191.77882.43482.79894.16543.9099
H82.14461.09622.18632.85462.94132.93021.77883.06002.44533.90782.9033
H92.86442.16791.09302.17402.83683.91672.43483.06001.78182.42243.0634
H103.35322.21011.09022.19833.32224.51592.79892.44531.78182.77242.4324
H113.18393.33222.21811.08842.07844.25734.16543.90782.42242.77241.7907
H122.89742.85082.19151.09342.09443.99023.90992.90333.06342.43241.7907

picture of γ–Butyrolactone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 103.460 C1 C2 H7 110.102
C1 C2 H8 108.179 C1 O5 C4 110.121
C2 C1 O5 108.799 C2 C1 O6 129.141
C2 C3 C4 101.815 C2 C3 H9 109.986
C2 C3 H10 113.557 C3 C2 H7 114.624
C3 C2 H8 111.255 C3 C4 O5 104.828
C3 C4 H11 113.709 C3 C4 H12 111.242
C4 C3 H9 109.880 C4 C3 H10 111.983
O5 C1 O6 122.055 O5 C4 H11 107.738
O5 C4 H12 108.697 H7 C2 H8 108.954
H9 C3 H10 109.404 H11 C4 H12 110.317
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.698      
2 C -0.550      
3 C -0.478      
4 C -0.172      
5 O -0.508      
6 O -0.481      
7 H 0.266      
8 H 0.264      
9 H 0.246      
10 H 0.236      
11 H 0.247      
12 H 0.233      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.337 1.788 0.466 4.714
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.586 2.105 0.257
y 2.105 -35.432 -0.093
z 0.257 -0.093 -33.197
Traceless
 xyz
x -5.271 2.105 0.257
y 2.105 0.960 -0.093
z 0.257 -0.093 4.312
Polar
3z2-r28.623
x2-y2-4.154
xy2.105
xz0.257
yz-0.093


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.404 0.500 -0.138
y 0.500 5.673 0.033
z -0.138 0.033 4.777


<r2> (average value of r2) Å2
<r2> 141.756
(<r2>)1/2 11.906