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

using model chemistry: B3LYP/LANL2DZ

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/LANL2DZ
 hartrees
Energy at 0K-306.444761
Energy at 298.15K 
HF Energy-306.444761
Nuclear repulsion energy236.487280
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/LANL2DZ
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 3180 3057 37.21      
2 A 3165 3042 12.67      
3 A 3151 3029 15.79      
4 A 3091 2971 34.57      
5 A 3089 2969 35.35      
6 A 3078 2959 11.96      
7 A 1756 1687 357.30      
8 A 1536 1477 1.25      
9 A 1522 1463 11.78      
10 A 1495 1437 16.70      
11 A 1387 1333 2.10      
12 A 1363 1310 1.94      
13 A 1324 1273 5.45      
14 A 1252 1203 4.11      
15 A 1226 1178 3.66      
16 A 1189 1143 2.25      
17 A 1139 1095 201.53      
18 A 1110 1067 39.91      
19 A 1057 1016 28.00      
20 A 986 948 62.24      
21 A 934 897 11.23      
22 A 900 865 8.45      
23 A 866 833 28.10      
24 A 789 758 13.26      
25 A 663 637 2.84      
26 A 634 609 8.06      
27 A 528 507 3.59      
28 A 468 449 3.56      
29 A 190 183 4.66      
30 A 145 140 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 21605.5 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 20767.2 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/LANL2DZ
ABC
0.23679 0.11461 0.08191

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/LANL2DZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.903 -0.002 0.004
C2 -0.014 1.217 0.160
C3 -1.418 0.689 -0.209
C4 -1.316 -0.820 0.125
O5 0.118 -1.161 -0.046
O6 2.131 -0.037 -0.065
H7 0.342 2.035 -0.471
H8 0.041 1.553 1.204
H9 -1.606 0.828 -1.279
H10 -2.224 1.176 0.347
H11 -1.880 -1.466 -0.551
H12 -1.591 -1.041 1.163

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53382.43112.36891.40081.23002.16552.14512.93813.35973.19372.9397
C21.53381.54472.41862.39062.49531.09261.09802.18142.21853.34502.9307
C32.43111.54471.54892.40953.62522.23142.20701.09561.09402.23042.2141
C42.36892.41861.54891.48393.54013.35552.93922.18432.20461.09181.0962
O51.40082.39062.40951.48392.30523.23172.98862.90633.33192.08332.0964
O61.23002.49533.62523.54012.30522.76762.91694.02354.53994.28544.0452
H72.16551.09262.23143.35553.23172.76761.76892.43072.82734.14783.9830
H82.14511.09802.20702.93922.98862.91691.76893.06692.45103.98573.0640
H92.93812.18141.09562.18432.90634.02352.43073.06691.77422.42203.0748
H103.35972.21851.09402.20463.33194.53992.82732.45101.77422.81212.4456
H113.19373.34502.23041.09182.08334.28544.14783.98572.42202.81211.7900
H122.93972.93072.21411.09622.09644.04523.98303.06403.07482.44561.7900

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 104.313 C1 C2 H7 109.941
C1 C2 H8 108.044 C1 O5 C4 110.372
C2 C1 O5 109.015 C2 C1 O6 128.733
C2 C3 C4 102.848 C2 C3 H9 110.257
C2 C3 H10 113.334 C3 C2 H7 114.492
C3 C2 H8 112.155 C3 C4 O5 105.192
C3 C4 H11 114.147 C3 C4 H12 112.535
C4 C3 H9 110.191 C4 C3 H10 111.899
O5 C1 O6 122.251 O5 C4 H11 106.982
O5 C4 H12 107.742 H7 C2 H8 107.707
H9 C3 H10 108.250 H11 C4 H12 109.794
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/LANL2DZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.251      
2 C -0.483      
3 C -0.399      
4 C -0.249      
5 O -0.259      
6 O -0.235      
7 H 0.252      
8 H 0.237      
9 H 0.224      
10 H 0.221      
11 H 0.228      
12 H 0.211      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -5.071 2.174 0.492 5.539
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.068 2.336 0.274
y 2.336 -35.949 -0.191
z 0.274 -0.191 -33.377
Traceless
 xyz
x -6.405 2.336 0.274
y 2.336 1.274 -0.191
z 0.274 -0.191 5.132
Polar
3z2-r210.263
x2-y2-5.119
xy2.336
xz0.274
yz-0.191


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.209 0.460 -0.096
y 0.460 6.269 0.038
z -0.096 0.038 4.996


<r2> (average value of r2) Å2
<r2> 144.550
(<r2>)1/2 12.023