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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-311G*
 hartrees
Energy at 0K-306.569393
Energy at 298.15K 
HF Energy-306.569393
Nuclear repulsion energy240.450027
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 B3LYPultrafine/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 3128 3023 19.78      
2 A 3122 3017 29.82      
3 A 3108 3003 20.88      
4 A 3059 2956 28.88      
5 A 3048 2946 9.08      
6 A 3043 2941 44.49      
7 A 1872 1809 402.27      
8 A 1542 1490 0.52      
9 A 1514 1463 7.24      
10 A 1483 1433 8.99      
11 A 1405 1358 13.67      
12 A 1353 1307 0.64      
13 A 1315 1270 6.78      
14 A 1270 1227 7.92      
15 A 1227 1185 9.47      
16 A 1209 1168 2.53      
17 A 1160 1121 221.86      
18 A 1106 1069 13.99      
19 A 1059 1023 75.94      
20 A 1010 976 21.64      
21 A 937 905 4.47      
22 A 900 870 9.50      
23 A 877 848 20.88      
24 A 803 776 4.78      
25 A 682 659 4.58      
26 A 642 620 4.93      
27 A 537 519 3.31      
28 A 489 472 3.19      
29 A 209 202 2.37      
30 A 151 146 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 21630.5 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 20901.5 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 B3LYPultrafine/6-311G*
ABC
0.24268 0.11917 0.08504

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 -0.002 0.003
C2 -0.026 1.207 0.168
C3 -1.405 0.668 -0.219
C4 -1.269 -0.821 0.129
O5 0.128 -1.134 -0.046
O6 2.083 -0.028 -0.071
H7 0.335 2.039 -0.435
H8 0.015 1.520 1.217
H9 -1.573 0.790 -1.292
H10 -2.233 1.144 0.308
H11 -1.837 -1.485 -0.521
H12 -1.539 -1.027 1.170

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52642.40182.31301.36561.19502.16022.13512.89443.34163.14912.8834
C21.52641.52972.37812.35522.45611.08951.09552.16782.21203.31672.8771
C32.40181.52971.53522.37203.56002.22512.19191.09321.09112.21712.1952
C42.31302.37811.53521.44203.45033.32662.88292.16992.19611.08951.0946
O51.36562.35522.37201.44202.24643.20302.94112.85493.29982.05232.0656
O61.19502.45613.56003.45032.24642.73162.88683.94114.48884.20683.9567
H72.16021.08952.22513.32663.20302.73161.76102.43602.81904.14063.9347
H82.13511.09552.19192.88292.94112.88681.76103.05812.45403.93492.9836
H92.89442.16781.09322.16992.85493.94112.43603.05811.76672.41733.0600
H103.34162.21201.09112.19613.29984.48882.81902.45401.76672.78522.4366
H113.14913.31672.21711.08952.05234.20684.14063.93492.41732.78521.7768
H122.88342.87712.19521.09462.06563.95673.93472.98363.06002.43661.7768

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 103.609 C1 C2 H7 110.223
C1 C2 H8 107.912 C1 O5 C4 110.910
C2 C1 O5 108.930 C2 C1 O6 128.573
C2 C3 C4 101.779 C2 C3 H9 110.376
C2 C3 H10 114.093 C3 C2 H7 115.299
C3 C2 H8 112.163 C3 C4 O5 105.598
C3 C4 H11 114.207 C3 C4 H12 112.095
C4 C3 H9 110.159 C4 C3 H10 112.383
O5 C1 O6 122.495 O5 C4 H11 107.512
O5 C4 H12 108.256 H7 C2 H8 107.409
H9 C3 H10 107.969 H11 C4 H12 108.877
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.413      
2 C -0.538      
3 C -0.461      
4 C -0.201      
5 O -0.285      
6 O -0.309      
7 H 0.248      
8 H 0.243      
9 H 0.228      
10 H 0.225      
11 H 0.224      
12 H 0.213      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.255 1.506 0.395 4.531
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.453 1.841 0.243
y 1.841 -35.600 -0.081
z 0.243 -0.081 -33.604
Traceless
 xyz
x -5.851 1.841 0.243
y 1.841 1.429 -0.081
z 0.243 -0.081 4.422
Polar
3z2-r28.845
x2-y2-4.853
xy1.841
xz0.243
yz-0.081


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.211 0.456 -0.085
y 0.456 6.676 0.018
z -0.085 0.018 5.531


<r2> (average value of r2) Å2
<r2> 140.361
(<r2>)1/2 11.847