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

using model chemistry: PBEPBEultrafine/6-31G*

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/6-31G*
 hartrees
Energy at 0K-306.133510
Energy at 298.15K 
HF Energy-306.133510
Nuclear repulsion energy238.897624
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/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3084 3033 8.04      
2 A 3070 3020 23.17      
3 A 3060 3009 19.14      
4 A 3013 2963 20.33      
5 A 2998 2949 6.18      
6 A 2981 2932 43.88      
7 A 1837 1807 324.02      
8 A 1501 1476 0.33      
9 A 1474 1450 5.28      
10 A 1443 1419 7.74      
11 A 1361 1339 14.86      
12 A 1313 1291 1.74      
13 A 1271 1250 7.00      
14 A 1228 1208 5.65      
15 A 1189 1169 10.06      
16 A 1166 1147 2.33      
17 A 1132 1113 189.13      
18 A 1068 1050 10.80      
19 A 1037 1019 55.98      
20 A 990 973 27.32      
21 A 925 909 3.59      
22 A 876 862 7.54      
23 A 855 841 16.98      
24 A 787 774 3.71      
25 A 662 651 3.36      
26 A 617 607 4.17      
27 A 513 505 2.08      
28 A 470 463 2.63      
29 A 208 205 1.81      
30 A 151 149 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 21139.8 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 20791.0 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/6-31G*
ABC
0.23981 0.11768 0.08411

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.892 0.002 0.004
C2 -0.033 1.211 0.175
C3 -1.408 0.669 -0.229
C4 -1.273 -0.821 0.132
O5 0.126 -1.144 -0.045
O6 2.101 -0.027 -0.074
H7 0.333 2.059 -0.422
H8 -0.002 1.515 1.238
H9 -1.561 0.784 -1.316
H10 -2.253 1.151 0.288
H11 -1.855 -1.495 -0.515
H12 -1.546 -1.017 1.187

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53132.40602.32011.37981.21172.17312.14722.89243.36043.17142.8951
C21.53131.53212.38082.37102.47911.09991.10622.17682.22423.33452.8769
C32.40601.53211.53912.38293.58062.23622.20101.10351.10142.22862.2059
C42.32012.38081.53911.44773.47263.34392.88022.18012.20701.10101.1064
O51.37982.37102.38291.44772.26913.23222.95572.85973.32302.06642.0807
O61.21172.47913.58063.47262.26912.75582.91873.95034.52514.24273.9835
H72.17311.09992.23623.34393.23222.75581.77892.45192.83204.17473.9473
H82.14721.10622.20102.88022.95572.91871.77893.08002.47103.94582.9663
H92.89242.17681.10352.18012.85973.95032.45193.08001.78482.43313.0828
H103.36042.22421.10142.20703.32304.52512.83202.47101.78482.79352.4512
H113.17143.33452.22861.10102.06644.24274.17473.94582.43312.79351.7943
H122.89512.87692.20591.10642.08073.98353.94732.96633.08282.45121.7943

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 103.514 C1 C2 H7 110.282
C1 C2 H8 107.913 C1 O5 C4 110.256
C2 C1 O5 108.956 C2 C1 O6 128.943
C2 C3 C4 101.647 C2 C3 H9 110.306
C2 C3 H10 114.261 C3 C2 H7 115.360
C3 C2 H8 112.064 C3 C4 O5 105.804
C3 C4 H11 114.132 C3 C4 H12 111.958
C4 C3 H9 110.085 C4 C3 H10 112.351
O5 C1 O6 122.099 O5 C4 H11 107.559
O5 C4 H12 108.368 H7 C2 H8 107.477
H9 C3 H10 108.086 H11 C4 H12 108.753
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.569      
2 C -0.414      
3 C -0.340      
4 C -0.086      
5 O -0.395      
6 O -0.423      
7 H 0.198      
8 H 0.196      
9 H 0.180      
10 H 0.171      
11 H 0.177      
12 H 0.167      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.034 1.398 0.377 4.286
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.509 1.683 0.256
y 1.683 -34.792 -0.058
z 0.256 -0.058 -33.232
Traceless
 xyz
x -5.497 1.683 0.256
y 1.683 1.579 -0.058
z 0.256 -0.058 3.918
Polar
3z2-r27.837
x2-y2-4.717
xy1.683
xz0.256
yz-0.058


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.228 0.499 -0.120
y 0.499 6.546 0.033
z -0.120 0.033 5.409


<r2> (average value of r2) Å2
<r2> 141.298
(<r2>)1/2 11.887