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

using model chemistry: BLYP/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 BLYP/3-21G*
 hartrees
Energy at 0K-304.703420
Energy at 298.15K 
HF Energy-304.703420
Nuclear repulsion energy234.877672
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 BLYP/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 3077 3057 13.18      
2 A 3068 3048 23.32      
3 A 3058 3038 13.29      
4 A 3012 2993 17.82      
5 A 2988 2969 6.41      
6 A 2984 2964 39.86      
7 A 1757 1746 229.69      
8 A 1531 1521 0.93      
9 A 1512 1502 4.59      
10 A 1483 1473 8.66      
11 A 1341 1332 0.41      
12 A 1339 1330 1.89      
13 A 1297 1289 4.43      
14 A 1240 1232 3.88      
15 A 1195 1187 1.72      
16 A 1153 1145 2.19      
17 A 1086 1079 9.23      
18 A 1034 1027 156.61      
19 A 986 980 16.67      
20 A 929 923 46.94      
21 A 898 892 1.33      
22 A 863 858 10.18      
23 A 835 830 43.61      
24 A 734 729 7.95      
25 A 641 636 3.93      
26 A 608 604 2.88      
27 A 511 508 1.73      
28 A 451 448 1.52      
29 A 201 200 2.86      
30 A 146 145 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 20978.4 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 20842.0 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 BLYP/3-21G*
ABC
0.23191 0.11343 0.08120

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.915 0.009 0.005
C2 -0.031 1.226 0.189
C3 -1.418 0.685 -0.248
C4 -1.320 -0.823 0.139
O5 0.127 -1.181 -0.042
O6 2.138 -0.027 -0.079
H7 0.333 2.078 -0.399
H8 -0.029 1.505 1.258
H9 -1.532 0.783 -1.339
H10 -2.262 1.183 0.251
H11 -1.905 -1.484 -0.513
H12 -1.595 -0.987 1.194

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.55222.44252.38831.42771.22622.18702.16742.89683.39553.23302.9499
C21.55221.55132.42052.42282.51941.09781.10492.18652.23163.36862.8892
C32.44251.55131.55982.43203.63082.24232.20641.10121.09902.23912.2144
C42.38832.42051.55981.50193.55453.38142.88722.19222.21871.09751.1025
O51.42772.42282.43201.50192.31793.28462.98772.87953.37372.10862.1285
O61.22622.51943.63083.55452.31792.79182.97173.96354.57484.31934.0584
H72.18701.09782.24233.38143.28462.79181.79092.45642.82044.20813.9552
H82.16741.10492.20642.88722.98772.97171.79093.08562.46993.94822.9430
H92.89682.18651.10122.19222.87953.96352.45643.08561.79462.44163.0900
H103.39552.23161.09902.21873.37374.57482.82042.46991.79462.79712.4575
H113.23303.36862.23911.09752.10864.31934.20813.94822.44162.79711.8044
H122.94992.88922.21441.10252.12854.05843.95522.94303.09002.45751.8044

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 103.814 C1 C2 H7 110.053
C1 C2 H8 108.136 C1 O5 C4 109.198
C2 C1 O5 108.719 C2 C1 O6 129.755
C2 C3 C4 102.159 C2 C3 H9 109.874
C2 C3 H10 113.611 C3 C2 H7 114.577
C3 C2 H8 111.221 C3 C4 O5 105.165
C3 C4 H11 113.700 C3 C4 H12 111.398
C4 C3 H9 109.735 C4 C3 H10 111.952
O5 C1 O6 121.522 O5 C4 H11 107.406
O5 C4 H12 108.656 H7 C2 H8 108.793
H9 C3 H10 109.307 H11 C4 H12 110.205
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.593      
2 C -0.453      
3 C -0.390      
4 C -0.142      
5 O -0.420      
6 O -0.429      
7 H 0.219      
8 H 0.221      
9 H 0.205      
10 H 0.193      
11 H 0.207      
12 H 0.197      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.913 1.603 0.405 4.248
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.260 1.915 0.253
y 1.915 -35.563 -0.059
z 0.253 -0.059 -33.609
Traceless
 xyz
x -4.674 1.915 0.253
y 1.915 0.872 -0.059
z 0.253 -0.059 3.802
Polar
3z2-r27.605
x2-y2-3.697
xy1.915
xz0.253
yz-0.059


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.926 0.553 -0.153
y 0.553 6.070 0.044
z -0.153 0.044 4.916


<r2> (average value of r2) Å2
<r2> 145.433
(<r2>)1/2 12.060