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

using model chemistry: B97D3/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B97D3/3-21G*
 hartrees
Energy at 0K-304.625308
Energy at 298.15K 
HF Energy-304.625308
Nuclear repulsion energy236.173465
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 B97D3/3-21G*
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 3114 3114 14.49      
2 A 3106 3106 22.32      
3 A 3096 3096 13.08      
4 A 3042 3042 18.97      
5 A 3019 3019 6.73      
6 A 3013 3013 41.88      
7 A 1783 1783 242.63      
8 A 1536 1536 0.84      
9 A 1516 1516 5.85      
10 A 1486 1486 10.32      
11 A 1352 1352 0.37      
12 A 1352 1352 1.74      
13 A 1308 1308 5.57      
14 A 1253 1253 4.32      
15 A 1205 1205 2.08      
16 A 1166 1166 2.62      
17 A 1097 1097 15.87      
18 A 1055 1055 159.43      
19 A 1003 1003 18.58      
20 A 945 945 50.97      
21 A 911 911 1.33      
22 A 876 876 11.13      
23 A 851 851 40.11      
24 A 747 747 7.11      
25 A 652 652 4.82      
26 A 615 615 2.91      
27 A 515 515 1.85      
28 A 457 457 1.72      
29 A 212 212 3.23      
30 A 147 147 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 21214.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21214.5 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 B97D3/3-21G*
ABC
0.23472 0.11463 0.08224

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.908 0.007 0.005
C2 -0.033 1.216 0.195
C3 -1.407 0.681 -0.256
C4 -1.313 -0.815 0.143
O5 0.125 -1.173 -0.044
O6 2.127 -0.026 -0.080
H7 0.335 2.073 -0.379
H8 -0.041 1.477 1.266
H9 -1.501 0.767 -1.347
H10 -2.254 1.182 0.226
H11 -1.902 -1.481 -0.495
H12 -1.576 -0.962 1.200

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.54392.42562.37241.41761.22252.17812.15622.86543.38083.21892.9216
C21.54391.54232.40142.40662.50721.09461.10222.17552.22193.35312.8525
C32.42561.54231.55062.41443.60882.23362.19421.09841.09602.23042.2020
C42.37242.40141.55061.49363.53653.36572.85102.18132.20871.09411.0996
O51.41762.40662.41441.49362.30803.27032.96052.84733.35842.09892.1174
O61.22252.50723.60883.53652.30802.77652.96193.92404.55544.30374.0280
H72.17811.09462.23363.36573.27032.77651.78912.45222.80464.20103.9187
H82.15621.10222.19422.85102.96052.96191.78913.07562.46263.91262.8819
H92.86542.17551.09842.18132.84733.92402.45223.07561.79312.43773.0800
H103.38082.22191.09602.20873.35844.55542.80462.46261.79312.78102.4506
H113.21893.35312.23041.09412.09894.30374.20103.91262.43772.78101.8026
H122.92162.85252.20201.09962.11744.02803.91872.88193.08002.45061.8026

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 103.616 C1 C2 H7 110.113
C1 C2 H8 107.983 C1 O5 C4 109.134
C2 C1 O5 108.635 C2 C1 O6 129.635
C2 C3 C4 101.866 C2 C3 H9 109.801
C2 C3 H10 113.665 C3 C2 H7 114.732
C3 C2 H8 111.050 C3 C4 O5 104.941
C3 C4 H11 113.872 C3 C4 H12 111.238
C4 C3 H9 109.676 C4 C3 H10 111.992
O5 C1 O6 121.724 O5 C4 H11 107.402
O5 C4 H12 108.523 H7 C2 H8 109.059
H9 C3 H10 109.594 H11 C4 H12 110.515
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.643      
2 C -0.508      
3 C -0.442      
4 C -0.165      
5 O -0.455      
6 O -0.459      
7 H 0.245      
8 H 0.246      
9 H 0.230      
10 H 0.217      
11 H 0.230      
12 H 0.219      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.094 1.666 0.441 4.442
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.276 1.984 0.250
y 1.984 -35.436 -0.068
z 0.250 -0.068 -33.396
Traceless
 xyz
x -4.860 1.984 0.250
y 1.984 0.900 -0.068
z 0.250 -0.068 3.959
Polar
3z2-r27.918
x2-y2-3.840
xy1.984
xz0.250
yz-0.068


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.826 0.531 -0.149
y 0.531 6.008 0.043
z -0.149 0.043 4.895


<r2> (average value of r2) Å2
<r2> 143.911
(<r2>)1/2 11.996