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

using model chemistry: B2PLYP/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-306.366211
Energy at 298.15K 
HF Energy-305.999858
Nuclear repulsion energy241.069899
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/6-311+G(3df,2p)
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 3152 3152 8.67      
2 A 3145 3145 19.39      
3 A 3132 3132 13.96      
4 A 3080 3080 19.42      
5 A 3069 3069 5.63      
6 A 3063 3063 36.19      
7 A 1840 1840 408.42      
8 A 1541 1541 0.80      
9 A 1514 1514 6.10      
10 A 1480 1480 8.30      
11 A 1405 1405 15.86      
12 A 1353 1353 1.43      
13 A 1315 1315 6.31      
14 A 1272 1272 8.10      
15 A 1227 1227 11.63      
16 A 1208 1208 3.04      
17 A 1172 1172 210.19      
18 A 1104 1104 10.48      
19 A 1064 1064 76.55      
20 A 1014 1014 22.29      
21 A 944 944 4.74      
22 A 900 900 10.69      
23 A 880 880 21.79      
24 A 808 808 5.03      
25 A 683 683 4.02      
26 A 641 641 4.28      
27 A 535 535 3.71      
28 A 491 491 3.09      
29 A 211 211 2.22      
30 A 150 150 0.87      

Unscaled Zero Point Vibrational Energy (zpe) 21695.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21695.2 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 B2PLYP/6-311+G(3df,2p)
ABC
0.24430 0.11968 0.08555

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.885 -0.002 0.004
C2 -0.026 1.202 0.172
C3 -1.399 0.667 -0.225
C4 -1.268 -0.815 0.132
O5 0.126 -1.131 -0.047
O6 2.080 -0.029 -0.072
H7 0.338 2.034 -0.423
H8 0.010 1.499 1.222
H9 -1.555 0.781 -1.297
H10 -2.226 1.144 0.294
H11 -1.839 -1.479 -0.511
H12 -1.531 -1.011 1.172

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51972.39112.30551.36141.19732.15092.12232.87403.32883.14082.8675
C21.51971.52582.36922.34822.45151.08551.09152.16152.20453.30712.8570
C32.39111.52581.52982.36393.55082.21922.18421.08911.08702.20862.1874
C42.30552.36921.52981.44073.44553.31722.85972.16112.18651.08581.0908
O51.36142.34822.36391.44072.24383.19392.92262.83583.28992.04822.0609
O61.19732.45153.55083.44552.24382.72192.87983.92004.47814.20123.9440
H72.15091.08552.21923.31723.19392.72191.76002.43262.80784.13313.9127
H82.12231.09152.18422.85972.92262.87981.76003.05092.44743.90992.9460
H92.87402.16151.08912.16112.83583.92002.43263.05091.76422.40913.0508
H103.32882.20451.08702.18653.28994.47812.80782.44741.76422.77022.4284
H113.14083.30712.20861.08582.04824.20124.13313.90992.40912.77021.7738
H122.86752.85702.18741.09082.06093.94403.91272.94603.05082.42841.7738

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 103.462 C1 C2 H7 110.185
C1 C2 H8 107.602 C1 O5 C4 110.699
C2 C1 O5 109.055 C2 C1 O6 128.526
C2 C3 C4 101.675 C2 C3 H9 110.386
C2 C3 H10 114.013 C3 C2 H7 115.350
C3 C2 H8 112.064 C3 C4 O5 105.420
C3 C4 H11 114.147 C3 C4 H12 112.084
C4 C3 H9 110.082 C4 C3 H10 112.238
O5 C1 O6 122.419 O5 C4 H11 107.495
O5 C4 H12 108.207 H7 C2 H8 107.889
H9 C3 H10 108.330 H11 C4 H12 109.170
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.042      
2 C -0.397      
3 C -0.257      
4 C 0.066      
5 O -0.680      
6 O -0.748      
7 H 0.164      
8 H 0.183      
9 H 0.165      
10 H 0.150      
11 H 0.155      
12 H 0.157      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.478 1.544 0.417 4.755
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.252 1.781 0.280
y 1.781 -35.755 -0.134
z 0.280 -0.134 -33.946
Traceless
 xyz
x -6.401 1.781 0.280
y 1.781 1.844 -0.134
z 0.280 -0.134 4.557
Polar
3z2-r29.114
x2-y2-5.497
xy1.781
xz0.280
yz-0.134


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.286 0.313 -0.081
y 0.313 7.692 0.027
z -0.081 0.027 6.242


<r2> (average value of r2) Å2
<r2> 139.940
(<r2>)1/2 11.830