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

using model chemistry: B3LYP/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 B3LYP/aug-cc-pVDZ
 hartrees
Energy at 0K-306.535342
Energy at 298.15K 
HF Energy-306.535342
Nuclear repulsion energy239.763768
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 B3LYP/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 3138 3045 12.27      
2 A 3130 3037 21.81      
3 A 3118 3026 14.10      
4 A 3068 2977 21.65      
5 A 3058 2967 6.28      
6 A 3049 2959 40.89      
7 A 1837 1783 425.22      
8 A 1512 1467 0.63      
9 A 1486 1442 6.68      
10 A 1452 1409 7.92      
11 A 1380 1339 19.59      
12 A 1330 1290 2.37      
13 A 1291 1253 9.68      
14 A 1247 1210 6.50      
15 A 1208 1172 15.13      
16 A 1187 1152 3.59      
17 A 1161 1127 198.68      
18 A 1088 1055 8.40      
19 A 1054 1023 70.93      
20 A 1002 973 25.30      
21 A 935 907 5.64      
22 A 889 863 7.05      
23 A 869 843 23.10      
24 A 802 778 4.42      
25 A 678 658 3.65      
26 A 639 620 5.40      
27 A 535 519 3.78      
28 A 485 471 3.37      
29 A 199 193 1.75      
30 A 145 141 1.30      

Unscaled Zero Point Vibrational Energy (zpe) 21485.2 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 20849.2 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 B3LYP/aug-cc-pVDZ
ABC
0.24191 0.11845 0.08449

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.890 -0.001 0.003
C2 -0.023 1.210 0.158
C3 -1.411 0.671 -0.207
C4 -1.275 -0.823 0.124
O5 0.129 -1.135 -0.047
O6 2.091 -0.031 -0.066
H7 0.337 2.032 -0.469
H8 0.034 1.538 1.207
H9 -1.603 0.805 -1.280
H10 -2.229 1.143 0.349
H11 -1.839 -1.483 -0.543
H12 -1.548 -1.046 1.166

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52392.40572.31851.36671.20352.15902.13282.91683.33973.15302.8961
C21.52391.53292.38782.35882.46111.09471.10022.17442.21523.32282.9034
C32.40571.53291.53692.37893.57392.22992.20001.09781.09622.22172.2031
C42.31852.38781.53691.44803.46273.33172.90902.17512.19741.09521.0999
O51.36672.35882.37891.44802.25143.20192.95422.87823.30272.05932.0717
O61.20352.46113.57393.46272.25142.73772.88283.97664.49564.21673.9738
H72.15901.09472.22993.33173.20192.73771.77272.43392.83534.13433.9620
H82.13281.10022.20002.90902.95422.88281.77273.06622.45243.96233.0304
H92.91682.17441.09782.17512.87823.97662.43393.06621.77752.41513.0679
H103.33972.21521.09622.19743.30274.49562.83532.45241.77752.80082.4338
H113.15303.32282.22171.09522.05934.21674.13433.96232.41512.80081.7884
H122.89612.90342.20311.09992.07173.97383.96203.03043.06792.43381.7884

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 103.813 C1 C2 H7 109.990
C1 C2 H8 107.633 C1 O5 C4 110.880
C2 C1 O5 109.255 C2 C1 O6 128.557
C2 C3 C4 102.124 C2 C3 H9 110.399
C2 C3 H10 113.790 C3 C2 H7 115.117
C3 C2 H8 112.295 C3 C4 O5 105.651
C3 C4 H11 114.101 C3 C4 H12 112.275
C4 C3 H9 110.174 C4 C3 H10 112.049
O5 C1 O6 122.188 O5 C4 H11 107.333
O5 C4 H12 108.027 H7 C2 H8 107.728
H9 C3 H10 108.220 H11 C4 H12 109.117
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.565      
2 C 0.687      
3 C 0.904      
4 C 1.326      
5 O -0.556      
6 O -0.544      
7 H -0.341      
8 H -0.322      
9 H -0.468      
10 H -0.352      
11 H -0.433      
12 H -0.467      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.525 1.552 0.389 4.800
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.554 1.788 0.254
y 1.788 -35.769 -0.119
z 0.254 -0.119 -33.927
Traceless
 xyz
x -6.706 1.788 0.254
y 1.788 1.972 -0.119
z 0.254 -0.119 4.734
Polar
3z2-r29.469
x2-y2-5.785
xy1.788
xz0.254
yz-0.119


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.547 0.326 -0.079
y 0.326 7.934 0.027
z -0.079 0.027 6.405


<r2> (average value of r2) Å2
<r2> 141.392
(<r2>)1/2 11.891