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

using model chemistry: M06-2X/aug-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 M06-2X/aug-cc-pVDZ
 hartrees
Energy at 0K-306.412963
Energy at 298.15K 
HF Energy-306.412963
Nuclear repulsion energy241.069793
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 M06-2X/aug-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 3174 3174 18.22      
2 A 3167 3167 8.96      
3 A 3161 3161 8.48      
4 A 3100 3100 18.53      
5 A 3097 3097 4.22      
6 A 3089 3089 36.33      
7 A 1904 1904 458.56      
8 A 1518 1518 1.80      
9 A 1483 1483 10.10      
10 A 1448 1448 9.37      
11 A 1396 1396 31.02      
12 A 1334 1334 4.59      
13 A 1298 1298 27.83      
14 A 1258 1258 12.75      
15 A 1219 1219 76.42      
16 A 1195 1195 133.34      
17 A 1192 1192 3.45      
18 A 1111 1111 82.50      
19 A 1088 1088 5.04      
20 A 1016 1016 11.46      
21 A 953 953 2.66      
22 A 898 898 12.08      
23 A 882 882 11.23      
24 A 818 818 4.37      
25 A 690 690 5.35      
26 A 639 639 4.52      
27 A 530 530 3.48      
28 A 495 495 4.40      
29 A 214 214 2.06      
30 A 148 148 1.01      

Unscaled Zero Point Vibrational Energy (zpe) 21757.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21757.4 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 M06-2X/aug-cc-pVDZ
ABC
0.24387 0.11995 0.08568

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.883 -0.003 0.004
C2 -0.026 1.205 0.169
C3 -1.400 0.666 -0.224
C4 -1.263 -0.817 0.135
O5 0.126 -1.129 -0.052
O6 2.077 -0.029 -0.069
H7 0.344 2.035 -0.437
H8 0.014 1.503 1.225
H9 -1.558 0.778 -1.302
H10 -2.230 1.144 0.304
H11 -1.841 -1.484 -0.510
H12 -1.521 -1.010 1.185

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52002.38902.29851.35851.19712.15262.12482.87563.33073.14302.8618
C21.52001.52672.37002.34912.45021.09251.09832.16622.20893.31442.8586
C32.38901.52671.53172.36203.54902.22712.19041.09601.09382.21372.1923
C42.29852.37001.53171.43533.43763.32282.86402.16692.19291.09331.0984
O51.35852.34912.36201.43532.24013.19462.92802.83453.29282.05052.0630
O61.19712.45023.54903.43762.24012.72002.87803.92224.47984.20293.9350
H72.15261.09252.22713.32283.19462.72001.77612.43832.82324.14303.9218
H82.12481.09832.19042.86402.92802.87801.77613.06332.45203.92142.9454
H92.87562.16621.09602.16692.83453.92222.43833.06331.77962.41373.0630
H103.33072.20891.09382.19293.29284.47982.82322.45201.77962.77862.4322
H113.14303.31442.21371.09332.05054.20294.14303.92142.41372.77861.7883
H122.86182.85862.19231.09842.06303.93503.92182.94543.06302.43221.7883

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 103.282 C1 C2 H7 109.886
C1 C2 H8 107.399 C1 O5 C4 110.690
C2 C1 O5 109.264 C2 C1 O6 128.401
C2 C3 C4 101.596 C2 C3 H9 110.291
C2 C3 H10 113.881 C3 C2 H7 115.493
C3 C2 H8 112.084 C3 C4 O5 105.468
C3 C4 H11 113.945 C3 C4 H12 111.872
C4 C3 H9 109.994 C4 C3 H10 112.205
O5 C1 O6 122.334 O5 C4 H11 107.609
O5 C4 H12 108.289 H7 C2 H8 108.332
H9 C3 H10 108.715 H11 C4 H12 109.361
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.576      
2 C 0.597      
3 C 0.787      
4 C 1.243      
5 O -0.537      
6 O -0.544      
7 H -0.299      
8 H -0.275      
9 H -0.428      
10 H -0.293      
11 H -0.388      
12 H -0.438      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.479 1.560 0.417 4.761
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.097 1.770 0.256
y 1.770 -35.481 -0.129
z 0.256 -0.129 -33.734
Traceless
 xyz
x -6.490 1.770 0.256
y 1.770 1.935 -0.129
z 0.256 -0.129 4.555
Polar
3z2-r29.110
x2-y2-5.616
xy1.770
xz0.256
yz-0.129


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.223 0.316 -0.068
y 0.316 7.648 0.023
z -0.068 0.023 6.282


<r2> (average value of r2) Å2
<r2> 139.732
(<r2>)1/2 11.821