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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-306.535346
Energy at 298.15K 
HF Energy-306.535346
Nuclear repulsion energy239.763095
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 B3LYPultrafine/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 3137 3044 12.67      
2 A 3129 3037 21.37      
3 A 3117 3025 14.11      
4 A 3067 2976 21.66      
5 A 3057 2967 6.37      
6 A 3049 2958 40.75      
7 A 1837 1783 425.12      
8 A 1512 1467 0.63      
9 A 1486 1442 6.68      
10 A 1452 1409 7.92      
11 A 1381 1340 19.56      
12 A 1329 1290 2.41      
13 A 1291 1253 9.60      
14 A 1247 1210 6.70      
15 A 1208 1172 14.97      
16 A 1187 1152 3.52      
17 A 1161 1127 198.80      
18 A 1088 1056 8.37      
19 A 1054 1023 70.95      
20 A 1002 972 25.29      
21 A 935 907 5.74      
22 A 889 863 7.12      
23 A 869 843 23.08      
24 A 802 778 4.42      
25 A 678 658 3.66      
26 A 639 620 5.39      
27 A 536 520 3.79      
28 A 485 471 3.36      
29 A 200 194 1.76      
30 A 146 142 1.29      

Unscaled Zero Point Vibrational Energy (zpe) 21484.6 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 20848.6 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 B3LYPultrafine/aug-cc-pVDZ
ABC
0.24192 0.11845 0.08448

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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 0.035 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
C11.52392.40572.31861.36671.20352.15902.13272.91723.33963.15312.8960
C21.52391.53282.38772.35882.46111.09471.10022.17462.21513.32282.9032
C32.40571.53281.53692.37893.57402.22982.19991.09781.09622.22182.2030
C42.31862.38771.53691.44813.46283.33162.90902.17522.19721.09521.0999
O51.36672.35882.37891.44812.25143.20192.95422.87853.30252.05942.0716
O61.20352.46113.57403.46282.25142.73782.88273.97724.49544.21683.9736
H72.15901.09472.22983.33163.20192.73781.77262.43402.83524.13433.9618
H82.13271.10022.19992.90902.95422.88271.77263.06632.45233.96233.0303
H92.91722.17461.09782.17522.87853.97722.43403.06631.77742.41523.0679
H103.33962.21511.09622.19723.30254.49542.83522.45231.77742.80082.4336
H113.15313.32282.22181.09522.05944.21684.13433.96232.41522.80081.7884
H122.89602.90322.20301.09992.07163.97363.96183.03033.06792.43361.7884

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 103.818 C1 C2 H7 109.993
C1 C2 H8 107.630 C1 O5 C4 110.882
C2 C1 O5 109.251 C2 C1 O6 128.556
C2 C3 C4 102.128 C2 C3 H9 110.416
C2 C3 H10 113.785 C3 C2 H7 115.111
C3 C2 H8 112.297 C3 C4 O5 105.647
C3 C4 H11 114.111 C3 C4 H12 112.275
C4 C3 H9 110.181 C4 C3 H10 112.036
O5 C1 O6 122.192 O5 C4 H11 107.330
O5 C4 H12 108.012 H7 C2 H8 107.727
H9 C3 H10 108.211 H11 C4 H12 109.127
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.565      
2 C 0.687      
3 C 0.905      
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 0.388 4.800
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.554 1.789 0.255
y 1.789 -35.770 -0.119
z 0.255 -0.119 -33.927
Traceless
 xyz
x -6.706 1.789 0.255
y 1.789 1.971 -0.119
z 0.255 -0.119 4.735
Polar
3z2-r29.469
x2-y2-5.784
xy1.789
xz0.255
yz-0.119


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.547 0.325 -0.079
y 0.325 7.934 0.027
z -0.079 0.027 6.405


<r2> (average value of r2) Å2
<r2> 141.393
(<r2>)1/2 11.891