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 C4H6O2 (γ–Butyrolactone)

using model chemistry: M06-2X/6-311G**

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/6-311G**
 hartrees
Energy at 0K-306.447362
Energy at 298.15K 
HF Energy-306.447362
Nuclear repulsion energy241.681482
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/6-311G**
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 3162 3162 16.11      
2 A 3155 3155 9.06      
3 A 3152 3152 6.49      
4 A 3088 3088 17.71      
5 A 3083 3083 3.65      
6 A 3073 3073 31.23      
7 A 1934 1934 447.69      
8 A 1539 1539 1.52      
9 A 1505 1505 9.20      
10 A 1467 1467 11.11      
11 A 1412 1412 24.15      
12 A 1350 1350 1.89      
13 A 1313 1313 17.70      
14 A 1274 1274 16.90      
15 A 1229 1229 44.24      
16 A 1206 1206 2.79      
17 A 1200 1200 196.29      
18 A 1115 1115 76.37      
19 A 1099 1099 14.20      
20 A 1022 1022 11.77      
21 A 952 952 3.15      
22 A 908 908 12.21      
23 A 889 889 10.54      
24 A 821 821 5.20      
25 A 693 693 6.00      
26 A 642 642 4.68      
27 A 532 532 3.27      
28 A 498 498 4.18      
29 A 218 218 2.68      
30 A 149 149 0.54      

Unscaled Zero Point Vibrational Energy (zpe) 21838.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21838.7 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/6-311G**
ABC
0.24463 0.12056 0.08620

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.883 -0.004 0.003
C2 -0.028 1.202 0.178
C3 -1.394 0.664 -0.235
C4 -1.259 -0.814 0.140
O5 0.125 -1.127 -0.052
O6 2.070 -0.028 -0.073
H7 0.346 2.040 -0.405
H8 -0.003 1.483 1.236
H9 -1.528 0.764 -1.314
H10 -2.233 1.145 0.266
H11 -1.842 -1.486 -0.487
H12 -1.513 -0.989 1.189

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52172.38552.29451.35651.18962.15272.12472.85313.33173.14102.8496
C21.52171.52532.36252.34512.44501.08761.09412.16092.20713.31022.8333
C32.38551.52531.53122.35543.53652.22452.18361.09171.08892.21042.1855
C42.29452.36251.53121.43113.42753.31942.83792.16242.19191.08821.0938
O51.35652.34512.35541.43112.23493.19432.91252.81073.28942.04622.0590
O61.18962.44503.53653.42752.23492.71302.87983.88764.47294.19593.9190
H72.15271.08762.22453.31943.19432.71301.76772.44242.81044.15023.8953
H82.12471.09412.18362.83792.91252.87981.76773.05662.45473.89372.8969
H92.85312.16091.09172.16242.81073.88762.44243.05661.77142.41713.0560
H103.33172.20711.08892.19193.28944.47292.81042.45471.77142.76432.4345
H113.14103.31022.21041.08822.04624.19594.15023.89372.41712.76431.7790
H122.84962.83332.18551.09382.05903.91903.89532.89693.05602.43451.7790

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 103.056 C1 C2 H7 110.071
C1 C2 H8 107.515 C1 O5 C4 110.768
C2 C1 O5 108.997 C2 C1 O6 128.379
C2 C3 C4 101.238 C2 C3 H9 110.225
C2 C3 H10 114.155 C3 C2 H7 115.709
C3 C2 H8 111.898 C3 C4 O5 105.283
C3 C4 H11 114.034 C3 C4 H12 111.644
C4 C3 H9 109.936 C4 C3 H10 112.461
O5 C1 O6 122.623 O5 C4 H11 107.848
O5 C4 H12 108.533 H7 C2 H8 108.236
H9 C3 H10 108.650 H11 C4 H12 109.236
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.423      
2 C -0.391      
3 C -0.353      
4 C -0.050      
5 O -0.317      
6 O -0.339      
7 H 0.188      
8 H 0.188      
9 H 0.173      
10 H 0.166      
11 H 0.158      
12 H 0.153      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.310 1.569 0.435 4.607
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.313 1.868 0.257
y 1.868 -35.475 -0.109
z 0.257 -0.109 -33.567
Traceless
 xyz
x -5.792 1.868 0.257
y 1.868 1.464 -0.109
z 0.257 -0.109 4.328
Polar
3z2-r28.655
x2-y2-4.837
xy1.868
xz0.257
yz-0.109


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.087 0.426 -0.070
y 0.426 6.542 0.016
z -0.070 0.016 5.471


<r2> (average value of r2) Å2
<r2> 138.903
(<r2>)1/2 11.786