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

using model chemistry: PBE1PBE/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 PBE1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-306.265712
Energy at 298.15K 
HF Energy-306.265712
Nuclear repulsion energy241.908384
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 PBE1PBE/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 3152 3031 5.40      
2 A 3139 3018 17.93      
3 A 3128 3008 15.63      
4 A 3079 2960 18.17      
5 A 3069 2951 4.01      
6 A 3053 2935 37.87      
7 A 1883 1811 444.21      
8 A 1522 1464 1.71      
9 A 1493 1435 8.09      
10 A 1456 1400 9.34      
11 A 1401 1347 23.44      
12 A 1345 1293 1.95      
13 A 1307 1257 12.36      
14 A 1266 1217 9.54      
15 A 1227 1180 29.67      
16 A 1200 1154 2.04      
17 A 1192 1146 193.61      
18 A 1101 1058 44.69      
19 A 1090 1048 43.18      
20 A 1023 984 14.57      
21 A 954 917 3.59      
22 A 899 864 10.05      
23 A 885 851 12.95      
24 A 817 786 3.96      
25 A 692 665 4.54      
26 A 642 618 4.63      
27 A 534 514 2.97      
28 A 495 476 3.51      
29 A 204 197 1.70      
30 A 148 142 1.23      

Unscaled Zero Point Vibrational Energy (zpe) 21698.1 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 20862.7 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 PBE1PBE/aug-cc-pVTZ
ABC
0.24601 0.12064 0.08614

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.881 -0.002 0.003
C2 -0.026 1.199 0.165
C3 -1.397 0.664 -0.215
C4 -1.258 -0.816 0.127
O5 0.127 -1.125 -0.046
O6 2.072 -0.029 -0.069
H7 0.337 2.027 -0.440
H8 0.023 1.507 1.213
H9 -1.570 0.787 -1.286
H10 -2.221 1.135 0.318
H11 -1.830 -1.475 -0.524
H12 -1.531 -1.023 1.166

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51372.38322.29221.35341.19342.14722.11642.87933.31923.12992.8657
C21.51371.51942.36142.33792.44211.08771.09392.15772.20113.29802.8639
C32.38321.51941.52482.35563.54022.21652.18281.09151.08912.20442.1844
C42.29222.36141.52481.42973.42763.30852.86602.15922.18401.08891.0939
O51.35342.33792.35561.42972.23293.18342.91932.84093.27922.04432.0560
O61.19342.44213.54023.42762.23292.71602.86423.92544.46504.18603.9363
H72.14721.08772.21653.30853.18342.71601.76082.42652.81254.11923.9203
H82.11641.09392.18282.86602.91932.86421.76083.04922.44403.91692.9691
H92.87932.15771.09152.15922.84093.92542.42653.04921.76552.40163.0480
H103.31922.20111.08912.18403.27924.46502.81252.44401.76552.77092.4197
H113.12993.29802.20441.08892.04434.18604.11923.91692.40162.77091.7748
H122.86572.86392.18441.09392.05603.93633.92032.96913.04802.41971.7748

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 103.578 C1 C2 H7 110.185
C1 C2 H8 107.419 C1 O5 C4 110.867
C2 C1 O5 109.133 C2 C1 O6 128.489
C2 C3 C4 101.740 C2 C3 H9 110.397
C2 C3 H10 114.080 C3 C2 H7 115.470
C3 C2 H8 112.269 C3 C4 O5 105.697
C3 C4 H11 113.959 C3 C4 H12 111.998
C4 C3 H9 110.134 C4 C3 H10 112.267
O5 C1 O6 122.376 O5 C4 H11 107.754
O5 C4 H12 108.384 H7 C2 H8 107.624
H9 C3 H10 108.127 H11 C4 H12 108.794
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.398      
2 C -0.250      
3 C -0.389      
4 C -0.191      
5 O -0.292      
6 O -0.624      
7 H 0.229      
8 H 0.177      
9 H 0.187      
10 H 0.250      
11 H 0.279      
12 H 0.227      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.435 1.494 0.395 4.697
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.919 1.704 0.269
y 1.704 -35.209 -0.102
z 0.269 -0.102 -33.517
Traceless
 xyz
x -6.556 1.704 0.269
y 1.704 2.009 -0.102
z 0.269 -0.102 4.547
Polar
3z2-r29.093
x2-y2-5.710
xy1.704
xz0.269
yz-0.102


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.262 0.311 -0.072
y 0.311 7.748 0.023
z -0.072 0.023 6.310


<r2> (average value of r2) Å2
<r2> 138.913
(<r2>)1/2 11.786