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

using model chemistry: TPSSh/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at TPSSh/6-31G
 hartrees
Energy at 0K-306.408798
Energy at 298.15K 
HF Energy-306.408798
Nuclear repulsion energy237.045491
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 TPSSh/6-31G
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 3175 3055 26.38      
2 A 3157 3037 8.89      
3 A 3142 3023 16.82      
4 A 3087 2970 36.89      
5 A 3084 2967 21.51      
6 A 3070 2954 7.43      
7 A 1775 1708 303.63      
8 A 1564 1505 0.34      
9 A 1546 1488 5.21      
10 A 1517 1460 9.84      
11 A 1393 1340 4.67      
12 A 1375 1323 0.19      
13 A 1336 1286 2.95      
14 A 1267 1219 4.37      
15 A 1236 1189 2.03      
16 A 1192 1147 3.21      
17 A 1139 1095 163.63      
18 A 1115 1073 55.16      
19 A 1047 1008 15.84      
20 A 975 938 53.24      
21 A 934 899 9.40      
22 A 903 868 11.74      
23 A 872 839 31.46      
24 A 790 760 8.98      
25 A 660 635 4.45      
26 A 631 607 5.82      
27 A 520 500 3.37      
28 A 469 451 2.89      
29 A 195 188 3.69      
30 A 147 141 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 21656.6 cm-1
Scaled (by 0.9621) Zero Point Vibrational Energy (zpe) 20835.8 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 TPSSh/6-31G
ABC
0.23777 0.11524 0.08244

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.900 0.001 0.004
C2 -0.014 1.213 0.169
C3 -1.408 0.686 -0.219
C4 -1.318 -0.815 0.127
O5 0.118 -1.160 -0.042
O6 2.124 -0.039 -0.070
H7 0.343 2.039 -0.448
H8 0.025 1.535 1.217
H9 -1.576 0.815 -1.293
H10 -2.222 1.181 0.317
H11 -1.877 -1.466 -0.543
H12 -1.588 -1.026 1.165

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52632.41782.36591.40011.22772.16072.14252.91083.35203.18762.9310
C21.52631.54022.41092.38522.48921.09121.09752.17582.21363.33982.9124
C32.41781.54021.54272.40143.60962.22492.19951.09471.09252.22652.2087
C42.36592.41091.54271.48613.53403.35152.91822.17682.19941.08891.0937
O51.40012.38522.40141.48612.29853.23222.97612.88663.32912.07922.0941
O61.22772.48923.60963.53402.29852.76362.92263.98994.53134.27454.0349
H72.16071.09122.22493.35153.23222.76361.76822.42762.81074.15023.9655
H82.14251.09752.19952.91822.97612.92261.76823.06292.44703.96563.0274
H92.91082.17581.09472.17682.88663.98992.42763.06291.77222.42033.0712
H103.35202.21361.09252.19943.32914.53132.81072.44701.77222.80472.4483
H113.18763.33982.22651.08892.07924.27454.15023.96562.42032.80471.7877
H122.93102.91242.20871.09372.09414.03493.96553.02743.07122.44831.7877

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 104.080 C1 C2 H7 110.165
C1 C2 H8 108.381 C1 O5 C4 110.080
C2 C1 O5 109.112 C2 C1 O6 129.016
C2 C3 C4 102.894 C2 C3 H9 110.184
C2 C3 H10 113.352 C3 C2 H7 114.375
C3 C2 H8 111.900 C3 C4 O5 104.893
C3 C4 H11 114.473 C3 C4 H12 112.705
C4 C3 H9 110.090 C4 C3 H10 112.019
O5 C1 O6 121.868 O5 C4 H11 106.686
O5 C4 H12 107.560 H7 C2 H8 107.784
H9 C3 H10 108.236 H11 C4 H12 109.987
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.539      
2 C -0.381      
3 C -0.347      
4 C -0.066      
5 O -0.481      
6 O -0.413      
7 H 0.207      
8 H 0.205      
9 H 0.186      
10 H 0.175      
11 H 0.192      
12 H 0.183      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.710 1.974 0.458 5.127
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.229 0.512 -0.140
y 0.512 6.247 0.045
z -0.140 0.045 5.118


<r2> (average value of r2) Å2
<r2> 143.650
(<r2>)1/2 11.985