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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-212.663274
Energy at 298.15K-212.674807
Nuclear repulsion energy190.255122
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/cc-pVTZ
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' 3526 3408 0.04      
2 A' 3105 3001 63.50      
3 A' 3071 2968 16.48      
4 A' 3058 2956 37.93      
5 A' 2920 2822 151.60      
6 A' 1535 1484 0.66      
7 A' 1509 1459 4.50      
8 A' 1398 1351 1.34      
9 A' 1317 1273 1.25      
10 A' 1245 1203 1.48      
11 A' 1226 1186 6.43      
12 A' 1065 1029 0.60      
13 A' 1003 969 2.98      
14 A' 939 908 5.40      
15 A' 898 868 1.98      
16 A' 869 840 50.00      
17 A' 766 740 29.42      
18 A' 580 561 49.45      
19 A' 294 284 3.83      
20 A" 3084 2981 1.06      
21 A" 3062 2960 97.07      
22 A" 3052 2950 2.69      
23 A" 2916 2819 47.22      
24 A" 1517 1466 0.53      
25 A" 1492 1442 0.82      
26 A" 1442 1394 6.39      
27 A" 1332 1288 0.89      
28 A" 1310 1266 19.49      
29 A" 1250 1208 5.88      
30 A" 1204 1164 0.17      
31 A" 1133 1095 11.04      
32 A" 1103 1066 5.79      
33 A" 929 898 0.15      
34 A" 874 845 3.09      
35 A" 641 620 0.90      
36 A" 84 82 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 28374.1 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 27426.4 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/cc-pVTZ
ABC
0.22926 0.22746 0.12986

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.522 -1.104 0.000
H2 0.401 -2.108 0.000
C3 -0.100 -0.466 1.162
C4 -0.100 -0.466 -1.162
C5 -0.100 1.023 0.777
C6 -0.100 1.023 -0.777
H7 -1.134 -0.808 1.329
H8 -1.134 -0.808 -1.329
H9 0.469 -0.672 2.069
H10 0.469 -0.672 -2.069
H11 0.795 1.513 1.157
H12 0.795 1.513 -1.157
H13 -0.960 1.544 1.194
H14 -0.960 1.544 -1.194

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01201.46351.46352.34792.34792.14342.14342.11412.11412.87442.87443.26093.2609
H21.01202.07272.07273.26503.26502.41072.41072.51952.51953.82243.82244.07674.0767
C31.46352.07272.32321.53852.44441.10182.71791.09033.28662.17263.17752.18743.2143
C41.46352.07272.32322.44441.53852.71791.10183.28661.09033.17752.17263.21432.1874
C52.34793.26501.53852.44441.55312.17402.97542.20623.36061.08902.18641.08922.2124
C62.34793.26502.44441.53851.55312.97542.17403.36062.20622.18641.08902.21241.0892
H72.14342.41071.10182.71792.17402.97542.65701.77083.75903.02293.90982.36233.4532
H82.14342.41072.71791.10182.97542.17402.65703.75901.77083.90983.02293.45322.3623
H92.11412.51951.09033.28662.20623.36061.77083.75904.13782.39033.91012.77874.1953
H102.11412.51953.28661.09033.36062.20623.75901.77084.13783.91012.39034.19532.7787
H112.87443.82242.17263.17751.08902.18643.02293.90982.39033.91012.31411.75622.9342
H122.87443.82243.17752.17262.18641.08903.90983.02293.91012.39032.31412.93421.7562
H133.26094.07672.18743.21431.08922.21242.36233.45322.77874.19531.75622.93422.3876
H143.26094.07673.21432.18742.21241.08923.45322.36234.19532.77872.93421.75622.3876

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.883 N1 C3 H7 112.580
N1 C3 H9 110.906 N1 C4 C6 102.883
N1 C4 H8 112.580 N1 C4 H10 110.906
H2 N1 C3 112.427 H2 N1 C4 112.427
C3 N1 C4 105.070 C3 C5 C6 104.494
C3 C5 H11 110.383 C3 C5 H13 111.555
C4 C6 C5 104.494 C4 C6 H12 110.383
C4 C6 H14 111.555 C5 C3 H7 109.748
C5 C3 H9 113.012 C5 C6 H12 110.451
C5 C6 H14 112.525 C6 C4 H8 109.748
C6 C4 H10 113.012 C6 C5 H11 110.451
C6 C5 H13 112.525 H7 C3 H9 107.759
H8 C4 H10 107.759 H11 C5 H13 107.465
H12 C6 H14 107.465
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.227     -0.006
2 H 0.106     0.008
3 C -0.081     0.157
4 C -0.081     -0.006
5 C -0.171     0.008
6 C -0.171     0.157
7 H 0.054     0.030
8 H 0.054     0.007
9 H 0.081     -0.034
10 H 0.081     0.030
11 H 0.090     0.007
12 H 0.090     -0.034
13 H 0.088     -0.624
14 H 0.088     0.299


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.836 -0.232 0.000 0.867
CHELPG        
AIM        
ESP 0.836 -0.223 0.000 0.865


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.383 0.763 0.000
y 0.763 -30.878 0.000
z 0.000 0.000 -32.052
Traceless
 xyz
x -2.917 0.763 0.000
y 0.763 2.339 0.000
z 0.000 0.000 0.578
Polar
3z2-r21.156
x2-y2-3.505
xy0.763
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.204 0.086 0.000
y 0.086 8.192 0.000
z 0.000 0.000 8.626


<r2> (average value of r2) Å2
<r2> 109.441
(<r2>)1/2 10.461