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

using model chemistry: B2PLYP/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B2PLYP/Def2TZVPP
 hartrees
Energy at 0K-306.380784
Energy at 298.15K 
HF Energy-306.014905
Nuclear repulsion energy241.017826
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 B2PLYP/Def2TZVPP
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 3160 3160 8.69      
2 A 3151 3151 21.70      
3 A 3139 3139 13.87      
4 A 3088 3088 19.94      
5 A 3077 3077 5.56      
6 A 3069 3069 37.76      
7 A 1842 1842 386.45      
8 A 1541 1541 0.71      
9 A 1513 1513 5.74      
10 A 1479 1479 7.98      
11 A 1407 1407 14.73      
12 A 1355 1355 1.14      
13 A 1316 1316 6.42      
14 A 1272 1272 7.74      
15 A 1228 1228 11.18      
16 A 1208 1208 3.31      
17 A 1172 1172 211.02      
18 A 1105 1105 10.06      
19 A 1065 1065 74.97      
20 A 1015 1015 22.76      
21 A 945 945 4.90      
22 A 901 901 9.62      
23 A 881 881 22.42      
24 A 809 809 5.02      
25 A 683 683 3.96      
26 A 641 641 4.18      
27 A 535 535 3.27      
28 A 490 490 3.03      
29 A 210 210 2.09      
30 A 149 149 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 21721.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21721.1 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 B2PLYP/Def2TZVPP
ABC
0.24424 0.11962 0.08548

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.886 -0.002 0.004
C2 -0.026 1.202 0.171
C3 -1.399 0.667 -0.223
C4 -1.269 -0.815 0.131
O5 0.126 -1.132 -0.047
O6 2.081 -0.029 -0.072
H7 0.337 2.032 -0.427
H8 0.012 1.502 1.219
H9 -1.557 0.782 -1.294
H10 -2.225 1.143 0.298
H11 -1.840 -1.476 -0.513
H12 -1.534 -1.011 1.171

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51952.39162.30651.36331.19752.15022.12182.87553.32823.14162.8701
C21.51951.52522.36932.34942.45191.08521.09112.16032.20363.30592.8589
C32.39161.52521.52922.36503.55182.21782.18331.08871.08672.20692.1857
C42.30652.36931.52921.44123.44663.31592.86172.15992.18571.08551.0904
O51.36332.34942.36501.44122.24533.19422.92472.83783.29012.04912.0621
O61.19752.45193.55183.44662.24532.72262.87903.92274.47794.20253.9468
H72.15021.08522.21783.31593.19422.72261.75952.42982.80714.12953.9135
H82.12181.09112.18332.86172.92472.87901.75953.04892.44563.91082.9508
H92.87552.16031.08872.15992.83783.92272.42983.04891.76372.40593.0481
H103.32822.20361.08672.18573.29014.47792.80712.44561.76372.76882.4252
H113.14163.30592.20691.08552.04914.20254.12953.91082.40592.76881.7730
H122.87012.85892.18571.09042.06213.94683.91352.95083.04812.42521.7730

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 103.531 C1 C2 H7 110.163
C1 C2 H8 107.600 C1 O5 C4 110.625
C2 C1 O5 109.050 C2 C1 O6 128.568
C2 C3 C4 101.737 C2 C3 H9 110.355
C2 C3 H10 114.007 C3 C2 H7 115.306
C3 C2 H8 112.059 C3 C4 O5 105.500
C3 C4 H11 114.063 C3 C4 H12 112.008
C4 C3 H9 110.047 C4 C3 H10 112.238
O5 C1 O6 122.381 O5 C4 H11 107.549
O5 C4 H12 108.287 H7 C2 H8 107.895
H9 C3 H10 108.338 H11 C4 H12 109.137
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.257      
2 C -0.142      
3 C -0.164      
4 C 0.021      
5 O -0.234      
6 O -0.288      
7 H 0.097      
8 H 0.096      
9 H 0.088      
10 H 0.084      
11 H 0.097      
12 H 0.089      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.374 1.521 0.404 4.649
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.942 1.765 0.259
y 1.765 -35.666 -0.118
z 0.259 -0.118 -33.847
Traceless
 xyz
x -6.185 1.765 0.259
y 1.765 1.728 -0.118
z 0.259 -0.118 4.457
Polar
3z2-r28.913
x2-y2-5.276
xy1.765
xz0.259
yz-0.118


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.957 0.367 -0.081
y 0.367 7.363 0.021
z -0.081 0.021 6.038


<r2> (average value of r2) Å2
<r2> 139.895
(<r2>)1/2 11.828