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: B3PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/3-21G*
 hartrees
Energy at 0K-304.695997
Energy at 298.15K 
HF Energy-304.695997
Nuclear repulsion energy237.962841
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 B3PW91/3-21G*
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 3174 3046 8.06      
2 A 3167 3038 14.89      
3 A 3158 3030 8.85      
4 A 3101 2975 13.96      
5 A 3079 2954 23.73      
6 A 3079 2954 13.56      
7 A 1851 1776 276.90      
8 A 1564 1500 0.82      
9 A 1538 1475 8.68      
10 A 1507 1445 13.63      
11 A 1387 1331 1.34      
12 A 1377 1322 1.15      
13 A 1337 1282 7.88      
14 A 1280 1228 6.11      
15 A 1236 1186 3.70      
16 A 1198 1149 2.91      
17 A 1130 1084 130.59      
18 A 1109 1064 89.65      
19 A 1040 998 19.87      
20 A 997 957 52.71      
21 A 937 899 2.26      
22 A 906 869 13.32      
23 A 883 847 20.45      
24 A 785 753 6.12      
25 A 677 649 6.07      
26 A 633 608 3.67      
27 A 530 509 1.92      
28 A 476 456 2.39      
29 A 213 205 3.64      
30 A 150 144 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 21748.5 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 20865.5 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 B3PW91/3-21G*
ABC
0.23843 0.11638 0.08349

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.900 0.004 0.005
C2 -0.029 1.209 0.190
C3 -1.400 0.676 -0.249
C4 -1.300 -0.814 0.140
O5 0.123 -1.157 -0.044
O6 2.111 -0.030 -0.079
H7 0.337 2.060 -0.387
H8 -0.030 1.478 1.255
H9 -1.504 0.769 -1.336
H10 -2.242 1.173 0.238
H11 -1.885 -1.476 -0.498
H12 -1.567 -0.969 1.192

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53302.40982.35111.39751.21412.16672.14562.85683.36033.19412.9052
C21.53301.53552.38972.38232.48721.09131.09862.16782.21343.33642.8481
C32.40981.53551.54342.39223.58532.22542.18741.09511.09232.22032.1933
C42.35112.38971.54341.47553.50653.34902.84782.17352.20131.09041.0956
O51.39752.38232.39221.47552.28493.24152.94192.83283.33202.08412.1017
O61.21412.48723.58533.50652.28492.75772.93923.90984.52684.27054.0023
H72.16671.09132.22543.34903.24152.75771.78102.44092.79804.17783.9103
H82.14561.09862.18742.84782.94192.93921.78103.06442.45303.90462.8903
H92.85682.16781.09512.17352.83283.90982.44093.06441.78472.42593.0675
H103.36032.21341.09232.20133.33204.52682.79802.45301.78472.77312.4401
H113.19413.33642.22031.09042.08414.27054.17783.90462.42592.77311.7929
H122.90522.84812.19331.09562.10174.00233.91032.89033.06752.44011.7929

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 103.508 C1 C2 H7 110.168
C1 C2 H8 108.099 C1 O5 C4 109.805
C2 C1 O5 108.685 C2 C1 O6 129.395
C2 C3 C4 101.823 C2 C3 H9 109.854
C2 C3 H10 113.699 C3 C2 H7 114.763
C3 C2 H8 111.200 C3 C4 O5 104.801
C3 C4 H11 113.806 C3 C4 H12 111.293
C4 C3 H9 109.759 C4 C3 H10 112.135
O5 C1 O6 121.914 O5 C4 H11 107.678
O5 C4 H12 108.757 H7 C2 H8 108.835
H9 C3 H10 109.348 H11 C4 H12 110.198
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.679      
2 C -0.550      
3 C -0.480      
4 C -0.183      
5 O -0.486      
6 O -0.473      
7 H 0.265      
8 H 0.265      
9 H 0.248      
10 H 0.236      
11 H 0.247      
12 H 0.234      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.232 1.749 0.458 4.602
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.465 2.060 0.263
y 2.060 -35.437 -0.076
z 0.263 -0.076 -33.316
Traceless
 xyz
x -5.089 2.060 0.263
y 2.060 0.954 -0.076
z 0.263 -0.076 4.135
Polar
3z2-r28.269
x2-y2-4.028
xy2.060
xz0.263
yz-0.076


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.553 0.511 -0.141
y 0.511 5.792 0.038
z -0.141 0.038 4.816


<r2> (average value of r2) Å2
<r2> 142.198
(<r2>)1/2 11.925