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

using model chemistry: B1B95/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B1B95/3-21G
 hartrees
Energy at 0K-304.677758
Energy at 298.15K 
HF Energy-304.677758
Nuclear repulsion energy238.940976
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 B1B95/3-21G
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 3200 3061 6.13      
2 A 3192 3054 14.40      
3 A 3184 3046 8.29      
4 A 3123 2988 13.23      
5 A 3103 2969 31.27      
6 A 3101 2966 2.93      
7 A 1873 1792 286.43      
8 A 1569 1501 1.04      
9 A 1541 1474 8.82      
10 A 1511 1445 14.23      
11 A 1393 1333 1.83      
12 A 1384 1324 1.11      
13 A 1343 1285 7.97      
14 A 1285 1230 7.18      
15 A 1240 1186 4.34      
16 A 1202 1150 3.34      
17 A 1142 1093 180.03      
18 A 1116 1068 46.87      
19 A 1049 1003 22.87      
20 A 1007 964 50.75      
21 A 943 902 2.71      
22 A 912 873 13.62      
23 A 890 852 17.48      
24 A 793 759 5.71      
25 A 679 649 6.89      
26 A 632 604 3.52      
27 A 527 504 2.00      
28 A 478 457 2.51      
29 A 220 210 3.76      
30 A 150 144 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 21889.8 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 20941.9 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 B1B95/3-21G
ABC
0.24040 0.11730 0.08434

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.896 0.004 0.006
C2 -0.030 1.203 0.199
C3 -1.390 0.673 -0.261
C4 -1.297 -0.807 0.146
O5 0.120 -1.150 -0.045
O6 2.102 -0.031 -0.082
H7 0.341 2.059 -0.361
H8 -0.045 1.454 1.265
H9 -1.470 0.750 -1.347
H10 -2.237 1.176 0.202
H11 -1.886 -1.475 -0.477
H12 -1.554 -0.945 1.199

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52712.39662.34191.39161.20972.16012.13852.82593.35083.18702.8857
C21.52711.53082.37692.37082.47911.08781.09542.16102.20763.32772.8177
C32.39661.53081.53782.37723.56662.22042.17911.09181.08892.21452.1852
C42.34192.37691.53781.47023.49343.34022.81622.16512.19561.08701.0923
O51.39162.37082.37721.47022.27613.23272.91982.79983.32112.07752.0959
O61.20972.47913.56663.49342.27612.74732.93743.86944.51274.25923.9803
H72.16011.08782.22043.34023.23272.74731.77712.44292.78314.17893.8796
H82.13851.09542.17912.81622.91982.93741.77713.05772.45203.87322.8351
H92.82592.16101.09182.16512.79983.86942.44293.05771.78042.42523.0600
H103.35082.20761.08892.19563.32114.51272.78312.45201.78042.75892.4408
H113.18703.32772.21451.08702.07754.25924.17893.87322.42522.75891.7887
H122.88572.81772.18521.09232.09593.98033.87962.83513.06002.44081.7887

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 103.204 C1 C2 H7 110.261
C1 C2 H8 108.132 C1 O5 C4 109.806
C2 C1 O5 108.553 C2 C1 O6 129.509
C2 C3 C4 101.534 C2 C3 H9 109.837
C2 C3 H10 113.787 C3 C2 H7 114.924
C3 C2 H8 111.061 C3 C4 O5 104.398
C3 C4 H11 113.959 C3 C4 H12 111.241
C4 C3 H9 109.675 C4 C3 H10 112.288
O5 C1 O6 121.932 O5 C4 H11 107.722
O5 C4 H12 108.862 H7 C2 H8 108.968
H9 C3 H10 109.465 H11 C4 H12 110.329
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.684      
2 C -0.546      
3 C -0.477      
4 C -0.176      
5 O -0.497      
6 O -0.474      
7 H 0.264      
8 H 0.264      
9 H 0.247      
10 H 0.234      
11 H 0.246      
12 H 0.232      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.239 1.776 0.477 4.620
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.399 2.065 0.276
y 2.065 -35.447 -0.086
z 0.276 -0.086 -33.300
Traceless
 xyz
x -5.026 2.065 0.276
y 2.065 0.902 -0.086
z 0.276 -0.086 4.123
Polar
3z2-r28.246
x2-y2-3.952
xy2.065
xz0.276
yz-0.086


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.483 0.499 -0.145
y 0.499 5.731 0.039
z -0.145 0.039 4.794


<r2> (average value of r2) Å2
<r2> 141.100
(<r2>)1/2 11.879