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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-212.551087
Energy at 298.15K-212.562627
Nuclear repulsion energy190.584652
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 B3PW91/6-311G*
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' 3543 3411 1.19      
2 A' 3123 3007 72.11      
3 A' 3085 2970 13.47      
4 A' 3071 2956 48.25      
5 A' 2927 2817 171.65      
6 A' 1543 1485 0.76      
7 A' 1515 1459 6.83      
8 A' 1405 1353 0.41      
9 A' 1328 1279 2.03      
10 A' 1257 1210 1.65      
11 A' 1238 1192 7.14      
12 A' 1081 1040 0.59      
13 A' 1018 980 2.89      
14 A' 958 922 7.61      
15 A' 917 883 4.41      
16 A' 889 856 65.61      
17 A' 772 743 26.69      
18 A' 582 560 50.75      
19 A' 303 292 4.79      
20 A" 3101 2986 1.21      
21 A" 3078 2963 99.55      
22 A" 3063 2948 9.44      
23 A" 2922 2813 51.23      
24 A" 1523 1466 0.24      
25 A" 1494 1438 1.10      
26 A" 1454 1400 8.22      
27 A" 1336 1286 6.52      
28 A" 1314 1265 17.24      
29 A" 1258 1211 6.59      
30 A" 1211 1166 0.25      
31 A" 1146 1104 12.16      
32 A" 1115 1074 0.90      
33 A" 945 910 0.50      
34 A" 879 846 2.77      
35 A" 639 615 0.77      
36 A" 77 74 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 28554.9 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 27489.8 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 B3PW91/6-311G*
ABC
0.23053 0.22810 0.13079

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.532 -1.095 0.000
H2 0.414 -2.101 0.000
C3 -0.102 -0.467 1.154
C4 -0.102 -0.467 -1.154
C5 -0.102 1.020 0.774
C6 -0.102 1.020 -0.774
H7 -1.141 -0.813 1.310
H8 -1.141 -0.813 -1.310
H9 0.459 -0.676 2.070
H10 0.459 -0.676 -2.070
H11 0.796 1.510 1.158
H12 0.796 1.510 -1.158
H13 -0.963 1.544 1.197
H14 -0.963 1.544 -1.197

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01391.45871.45872.33972.33972.14372.14372.11342.11342.86272.86273.26053.2605
H21.01392.06592.06593.25733.25732.40672.40672.51382.51383.81203.81204.07644.0764
C31.45872.06592.30841.53532.43571.10622.69661.09403.27952.17203.17232.18863.2116
C41.45872.06592.30842.43571.53532.69661.10623.27951.09403.17232.17203.21162.1886
C52.33973.25731.53532.43571.54892.17442.96412.20713.35921.09262.18641.09282.2138
C62.33973.25732.43571.53531.54892.96412.17443.35922.20712.18641.09262.21381.0928
H72.14372.40671.10622.69662.17442.96412.62001.77623.74213.02893.90402.36683.4456
H82.14372.40672.69661.10622.96412.17442.62003.74211.77623.90403.02893.44562.3668
H92.11342.51381.09403.27952.20713.35921.77623.74214.14062.39323.91352.77744.1980
H102.11342.51383.27951.09403.35922.20713.74211.77624.14063.91352.39324.19802.7774
H112.86273.81202.17203.17231.09262.18643.02893.90402.39323.91352.31571.75992.9393
H122.86273.81203.17232.17202.18641.09263.90403.02893.91352.39322.31572.93931.7599
H133.26054.07642.18863.21161.09282.21382.36683.44562.77744.19801.75992.93932.3932
H143.26054.07643.21162.18862.21381.09283.44562.36684.19802.77742.93931.75992.3932

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.760 N1 C3 H7 112.676
N1 C3 H9 110.964 N1 C4 C6 102.760
N1 C4 H8 112.676 N1 C4 H10 110.964
H2 N1 C3 112.084 H2 N1 C4 112.084
C3 N1 C4 104.605 C3 C5 C6 104.321
C3 C5 H11 110.352 C3 C5 H13 111.656
C4 C6 C5 104.321 C4 C6 H12 110.352
C4 C6 H14 111.656 C5 C3 H7 109.737
C5 C3 H9 113.087 C5 C6 H12 110.543
C5 C6 H14 112.726 C6 C4 H8 109.737
C6 C4 H10 113.087 C6 C5 H11 110.543
C6 C5 H13 112.726 H7 C3 H9 107.670
H8 C4 H10 107.670 H11 C5 H13 107.281
H12 C6 H14 107.281
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.536      
2 H 0.309      
3 C -0.299      
4 C -0.299      
5 C -0.439      
6 C -0.439      
7 H 0.190      
8 H 0.190      
9 H 0.215      
10 H 0.215      
11 H 0.228      
12 H 0.228      
13 H 0.219      
14 H 0.219      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.933 -0.293 0.000 0.978
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.163 0.806 0.000
y 0.806 -30.358 0.000
z 0.000 0.000 -31.585
Traceless
 xyz
x -3.191 0.806 0.000
y 0.806 2.516 0.000
z 0.000 0.000 0.676
Polar
3z2-r21.352
x2-y2-3.805
xy0.806
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 108.783
(<r2>)1/2 10.430