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

using model chemistry: M06-2X/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at M06-2X/STO-3G
 hartrees
Energy at 0K-302.527613
Energy at 298.15K 
HF Energy-302.527613
Nuclear repulsion energy235.515559
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 M06-2X/STO-3G
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 3552 3552 0.12      
2 A 3539 3539 1.01      
3 A 3488 3488 0.97      
4 A 3436 3436 0.17      
5 A 3424 3424 2.59      
6 A 3370 3370 4.39      
7 A 1989 1989 123.02      
8 A 1684 1684 0.93      
9 A 1672 1672 1.74      
10 A 1653 1653 2.52      
11 A 1501 1501 5.13      
12 A 1475 1475 1.12      
13 A 1426 1426 3.61      
14 A 1352 1352 1.38      
15 A 1325 1325 31.66      
16 A 1301 1301 114.03      
17 A 1260 1260 12.85      
18 A 1183 1183 20.28      
19 A 1155 1155 2.57      
20 A 1109 1109 13.73      
21 A 1022 1022 1.17      
22 A 961 961 1.40      
23 A 920 920 5.28      
24 A 842 842 4.70      
25 A 699 699 2.33      
26 A 648 648 3.36      
27 A 528 528 2.44      
28 A 479 479 5.08      
29 A 179 179 1.75      
30 A 127 127 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 23649.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 23649.4 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 M06-2X/STO-3G
ABC
0.23001 0.11527 0.08136

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/STO-3G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.901 0.015 0.008
C2 -0.054 1.248 0.145
C3 -1.439 0.665 -0.200
C4 -1.264 -0.847 0.129
O5 0.146 -1.185 -0.060
O6 2.131 -0.005 -0.053
H7 0.262 2.055 -0.528
H8 -0.016 1.618 1.178
H9 -1.658 0.796 -1.267
H10 -2.251 1.112 0.386
H11 -1.866 -1.496 -0.530
H12 -1.553 -1.051 1.178

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.56572.43732.33321.42001.23172.20292.18612.96333.35823.19812.9205
C21.56571.54152.41942.45042.52691.09641.09852.18332.21383.35652.9332
C32.43731.54151.55762.44043.63532.22082.19841.09671.09602.22712.2045
C42.33322.41941.55761.46173.50223.34352.95532.19212.20861.10381.1074
O51.42002.45042.44041.46172.30953.27543.06902.93863.34952.08912.1067
O61.23172.52693.63533.50222.30952.82122.95974.05824.54304.29244.0227
H72.20291.09642.22083.34353.27542.82121.78282.41152.83514.13913.9815
H82.18611.09852.19842.95533.06902.95971.78283.05762.42464.00443.0802
H92.96332.18331.09672.19212.93864.05822.41153.05761.78362.41633.0667
H103.35822.21381.09602.20863.34954.54302.83512.42461.78362.79022.4074
H113.19813.35652.22711.10382.08914.29244.13914.00442.41632.79021.7931
H122.92052.93322.20451.10742.10674.02273.98153.08023.06672.40741.7931

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 103.331 C1 C2 H7 110.448
C1 C2 H8 109.019 C1 O5 C4 108.110
C2 C1 O5 110.222 C2 C1 O6 128.802
C2 C3 C4 102.642 C2 C3 H9 110.566
C2 C3 H10 113.053 C3 C2 H7 113.609
C3 C2 H8 111.652 C3 C4 O5 107.807
C3 C4 H11 112.492 C3 C4 H12 110.488
C4 C3 H9 110.137 C4 C3 H10 111.478
O5 C1 O6 120.973 O5 C4 H11 108.225
O5 C4 H12 109.396 H7 C2 H8 108.634
H9 C3 H10 108.858 H11 C4 H12 108.374
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.239      
2 C -0.160      
3 C -0.138      
4 C -0.037      
5 O -0.195      
6 O -0.210      
7 H 0.090      
8 H 0.087      
9 H 0.080      
10 H 0.082      
11 H 0.085      
12 H 0.076      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -2.882 1.205 0.276 3.135
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.104 1.117 0.088
y 1.117 -33.225 -0.143
z 0.088 -0.143 -31.083
Traceless
 xyz
x -3.950 1.117 0.088
y 1.117 0.368 -0.143
z 0.088 -0.143 3.582
Polar
3z2-r27.163
x2-y2-2.879
xy1.117
xz0.088
yz-0.143


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.085 0.418 -0.110
y 0.418 3.480 0.036
z -0.110 0.036 2.652


<r2> (average value of r2) Å2
<r2> 143.281
(<r2>)1/2 11.970