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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G
 hartrees
Energy at 0K-306.046888
Energy at 298.15K 
HF Energy-306.046888
Nuclear repulsion energy238.590854
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 PBE1PBE/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 3198 3057 19.70      
2 A 3186 3045 4.04      
3 A 3172 3032 10.20      
4 A 3110 2972 20.93      
5 A 3107 2970 28.15      
6 A 3096 2959 4.56      
7 A 1831 1750 333.89      
8 A 1562 1493 1.20      
9 A 1540 1472 9.08      
10 A 1509 1443 13.81      
11 A 1405 1343 6.99      
12 A 1381 1320 0.53      
13 A 1343 1284 4.98      
14 A 1275 1218 6.34      
15 A 1247 1192 4.16      
16 A 1207 1154 3.39      
17 A 1181 1129 229.74      
18 A 1128 1079 10.19      
19 A 1077 1030 24.68      
20 A 1016 971 56.65      
21 A 958 916 8.95      
22 A 920 879 7.83      
23 A 893 854 22.33      
24 A 817 781 8.14      
25 A 683 653 5.01      
26 A 649 620 6.46      
27 A 534 511 3.53      
28 A 485 463 3.43      
29 A 199 190 3.75      
30 A 149 142 1.00      

Unscaled Zero Point Vibrational Energy (zpe) 21927.4 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 20960.4 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 PBE1PBE/6-31G
ABC
0.24103 0.11679 0.08355

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.893 -0.002 0.003
C2 -0.011 1.205 0.164
C3 -1.401 0.683 -0.212
C4 -1.304 -0.812 0.124
O5 0.115 -1.147 -0.042
O6 2.111 -0.041 -0.068
H7 0.347 2.028 -0.456
H8 0.036 1.534 1.210
H9 -1.579 0.818 -1.284
H10 -2.212 1.174 0.330
H11 -1.868 -1.459 -0.548
H12 -1.582 -1.028 1.160

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51712.40372.34501.38491.22022.15242.13362.90513.33643.17012.9185
C21.51711.53152.39662.36442.47161.09121.09752.16872.20713.32462.9061
C32.40371.53151.53542.38193.58822.21912.19361.09481.09222.21782.2001
C42.34502.39661.53541.46723.50613.33642.91262.17152.19381.08941.0943
O51.38492.36442.38191.46722.28203.21062.96012.87623.30742.06992.0829
O61.22022.47163.58823.50612.28202.74672.90133.97864.50774.25104.0148
H72.15241.09122.21913.33643.21062.74671.76552.42012.80974.13243.9588
H82.13361.09752.19362.91262.96012.90131.76553.05612.44093.95923.0307
H92.90512.16871.09482.17152.87623.97862.42013.05611.76952.41103.0625
H103.33642.20711.09222.19383.30744.50772.80972.44091.76952.79692.4358
H113.17013.32462.21781.08942.06994.25104.13243.95922.41102.79691.7842
H122.91852.90612.20011.09432.08294.01483.95883.03073.06252.43581.7842

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 104.084 C1 C2 H7 110.152
C1 C2 H8 108.310 C1 O5 C4 110.576
C2 C1 O5 109.038 C2 C1 O6 128.768
C2 C3 C4 102.787 C2 C3 H9 110.225
C2 C3 H10 113.484 C3 C2 H7 114.547
C3 C2 H8 112.053 C3 C4 O5 104.963
C3 C4 H11 114.259 C3 C4 H12 112.493
C4 C3 H9 110.172 C4 C3 H10 112.107
O5 C1 O6 122.190 O5 C4 H11 107.195
O5 C4 H12 107.931 H7 C2 H8 107.539
H9 C3 H10 108.014 H11 C4 H12 109.580
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.561      
2 C -0.424      
3 C -0.380      
4 C -0.083      
5 O -0.497      
6 O -0.416      
7 H 0.224      
8 H 0.222      
9 H 0.201      
10 H 0.191      
11 H 0.205      
12 H 0.195      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.771 2.009 0.461 5.197
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.522 2.249 0.289
y 2.249 -35.655 -0.129
z 0.289 -0.129 -33.386
Traceless
 xyz
x -6.002 2.249 0.289
y 2.249 1.299 -0.129
z 0.289 -0.129 4.702
Polar
3z2-r29.404
x2-y2-4.867
xy2.249
xz0.289
yz-0.129


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.994 0.498 -0.131
y 0.498 6.070 0.039
z -0.131 0.039 5.054


<r2> (average value of r2) Å2
<r2> 142.177
(<r2>)1/2 11.924