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

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-306.251559
Energy at 298.15K 
HF Energy-306.251559
Nuclear repulsion energy239.533480
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 PBEPBEultrafine/aug-cc-pVTZ
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 3061 3027 6.31      
2 A 3048 3014 19.30      
3 A 3038 3004 16.42      
4 A 2993 2960 19.91      
5 A 2981 2948 5.12      
6 A 2963 2930 38.89      
7 A 1792 1771 392.26      
8 A 1469 1453 0.93      
9 A 1445 1429 6.52      
10 A 1410 1395 8.60      
11 A 1341 1326 13.46      
12 A 1294 1279 1.00      
13 A 1255 1241 5.62      
14 A 1218 1204 5.04      
15 A 1177 1164 9.02      
16 A 1154 1141 2.71      
17 A 1116 1103 183.63      
18 A 1056 1044 11.27      
19 A 1022 1010 58.75      
20 A 979 968 34.44      
21 A 918 907 4.51      
22 A 865 855 7.13      
23 A 844 835 25.40      
24 A 781 772 3.74      
25 A 661 654 2.79      
26 A 617 610 4.29      
27 A 515 509 2.44      
28 A 473 467 2.30      
29 A 201 199 1.56      
30 A 146 144 1.10      

Unscaled Zero Point Vibrational Energy (zpe) 20915.5 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 20681.2 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.24157 0.11820 0.08441

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 0.002 0.003
C2 -0.028 1.207 0.164
C3 -1.408 0.670 -0.216
C4 -1.275 -0.819 0.128
O5 0.127 -1.141 -0.047
O6 2.095 -0.028 -0.068
H7 0.334 2.041 -0.447
H8 0.022 1.524 1.218
H9 -1.584 0.795 -1.293
H10 -2.236 1.147 0.323
H11 -1.850 -1.483 -0.528
H12 -1.546 -1.029 1.175

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52412.40392.31961.37551.20622.16122.13272.90473.34523.16202.8935
C21.52411.52872.37952.36302.46681.09531.10162.17152.21473.32212.8854
C32.40391.52871.53402.38043.57442.22872.19711.09881.09672.22032.2001
C42.31962.37951.53401.44973.46683.33162.89102.17292.19641.09641.1016
O51.37552.36302.38041.44972.26043.21382.95222.86923.31002.06312.0752
O61.20622.46683.57443.46682.26042.74292.89163.96404.50424.22923.9748
H72.16121.09532.22873.33163.21382.74291.77122.43892.82824.14683.9482
H82.13271.10162.19712.89102.95222.89161.77123.06842.45783.94882.9957
H92.90472.17151.09882.17292.86923.96402.43893.06841.77722.41823.0694
H103.34522.21471.09672.19643.31004.50422.82822.45781.77722.79082.4363
H113.16203.32212.22031.09642.06314.22924.14683.94882.41822.79081.7889
H122.89352.88542.20011.10162.07523.97483.94822.99573.06942.43631.7889

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 103.893 C1 C2 H7 110.111
C1 C2 H8 107.542 C1 O5 C4 110.354
C2 C1 O5 109.054 C2 C1 O6 128.865
C2 C3 C4 101.959 C2 C3 H9 110.406
C2 C3 H10 114.031 C3 C2 H7 115.291
C3 C2 H8 112.286 C3 C4 O5 105.802
C3 C4 H11 114.119 C3 C4 H12 112.133
C4 C3 H9 110.140 C4 C3 H10 112.138
O5 C1 O6 122.080 O5 C4 H11 107.442
O5 C4 H12 108.081 H7 C2 H8 107.457
H9 C3 H10 108.082 H11 C4 H12 108.954
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.403      
2 C -0.216      
3 C -0.308      
4 C -0.147      
5 O -0.288      
6 O -0.575      
7 H 0.186      
8 H 0.144      
9 H 0.150      
10 H 0.214      
11 H 0.246      
12 H 0.192      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.319 1.473 0.378 4.579
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.104 1.687 0.259
y 1.687 -35.615 -0.100
z 0.259 -0.100 -33.951
Traceless
 xyz
x -6.322 1.687 0.259
y 1.687 1.913 -0.100
z 0.259 -0.100 4.409
Polar
3z2-r28.817
x2-y2-5.490
xy1.687
xz0.259
yz-0.100


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.915 0.342 -0.084
y 0.342 8.307 0.033
z -0.084 0.033 6.634


<r2> (average value of r2) Å2
<r2> 141.411
(<r2>)1/2 11.892