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

using model chemistry: BLYP/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-306.403122
Energy at 298.15K 
HF Energy-306.403122
Nuclear repulsion energy237.561785
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/cc-pVDZ
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 3046 3051 11.16      
2 A 3031 3036 30.38      
3 A 3022 3027 21.33      
4 A 2977 2981 23.86      
5 A 2964 2969 8.42      
6 A 2942 2947 48.54      
7 A 1798 1801 326.68      
8 A 1452 1454 0.18      
9 A 1429 1432 3.91      
10 A 1395 1397 6.24      
11 A 1334 1336 14.95      
12 A 1294 1296 2.73      
13 A 1250 1252 5.54      
14 A 1205 1207 3.92      
15 A 1165 1166 5.49      
16 A 1144 1146 3.57      
17 A 1095 1096 168.70      
18 A 1050 1052 16.09      
19 A 1000 1002 44.43      
20 A 963 965 41.51      
21 A 903 905 4.53      
22 A 860 861 9.24      
23 A 835 836 27.46      
24 A 767 769 4.47      
25 A 652 653 2.75      
26 A 614 615 4.14      
27 A 511 512 2.14      
28 A 466 467 2.18      
29 A 206 207 1.70      
30 A 150 150 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 20759.3 cm-1
Scaled (by 1.0016) Zero Point Vibrational Energy (zpe) 20792.5 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 BLYP/cc-pVDZ
ABC
0.23683 0.11646 0.08316

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.900 0.004 0.005
C2 -0.031 1.219 0.175
C3 -1.415 0.674 -0.229
C4 -1.284 -0.825 0.132
O5 0.128 -1.153 -0.044
O6 2.109 -0.029 -0.075
H7 0.338 2.070 -0.425
H8 0.003 1.524 1.244
H9 -1.570 0.790 -1.321
H10 -2.263 1.159 0.292
H11 -1.867 -1.500 -0.523
H12 -1.561 -1.026 1.190

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53992.42122.33931.39121.21222.18402.15632.91103.37903.19282.9188
C21.53991.54142.39772.38702.48961.10501.11152.18872.23573.35412.8997
C32.42121.54141.54752.39893.59662.24892.21381.10891.10662.24012.2190
C42.33932.39771.54751.46063.49133.36452.89992.19082.21771.10621.1120
O51.39122.38702.39891.46062.27753.25202.97282.87923.34262.08102.0955
O61.21222.48963.59663.49132.27752.76852.93023.96914.54494.26274.0079
H72.18401.10502.24893.36453.25202.76851.78782.46512.84714.19673.9744
H82.15631.11152.21382.89992.97282.93021.78783.09642.48443.96992.9915
H92.91102.18871.10892.19082.87923.96912.46513.09641.79362.44343.0985
H103.37902.23571.10662.21773.34264.54492.84712.48441.79362.80882.4638
H113.19283.35412.24011.10622.08104.26274.19673.96992.44342.80881.8032
H122.91882.89972.21901.11202.09554.00793.97442.99153.09852.46381.8032

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 103.587 C1 C2 H7 110.238
C1 C2 H8 107.740 C1 O5 C4 110.207
C2 C1 O5 108.947 C2 C1 O6 129.153
C2 C3 C4 101.838 C2 C3 H9 110.283
C2 C3 H10 114.194 C3 C2 H7 115.391
C3 C2 H8 112.108 C3 C4 O5 105.745
C3 C4 H11 114.130 C3 C4 H12 112.063
C4 C3 H9 110.031 C4 C3 H10 112.287
O5 C1 O6 121.900 O5 C4 H11 107.539
O5 C4 H12 108.329 H7 C2 H8 107.524
H9 C3 H10 108.105 H11 C4 H12 108.759
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.115      
2 C 0.001      
3 C -0.000      
4 C 0.159      
5 O -0.209      
6 O -0.178      
7 H 0.025      
8 H 0.036      
9 H 0.016      
10 H 0.002      
11 H 0.017      
12 H 0.016      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.848 1.344 0.358 4.091
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.798 1.673 0.262
y 1.673 -35.328 -0.052
z 0.262 -0.052 -33.718
Traceless
 xyz
x -5.274 1.673 0.262
y 1.673 1.429 -0.052
z 0.262 -0.052 3.845
Polar
3z2-r27.690
x2-y2-4.469
xy1.673
xz0.262
yz-0.052


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.524 0.501 -0.108
y 0.501 6.907 0.017
z -0.108 0.017 5.659


<r2> (average value of r2) Å2
<r2> 142.910
(<r2>)1/2 11.955