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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: M06-2X/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-211.313839
Energy at 298.15K 
HF Energy-211.313839
Nuclear repulsion energy188.692998
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 M06-2X/3-21G*
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' 3481 3297 0.24      
2 A' 3145 2979 30.47      
3 A' 3117 2953 4.52      
4 A' 3088 2925 24.59      
5 A' 2975 2818 96.96      
6 A' 1586 1502 2.79      
7 A' 1553 1471 6.58      
8 A' 1420 1345 0.08      
9 A' 1345 1274 4.82      
10 A' 1252 1186 0.32      
11 A' 1248 1182 5.36      
12 A' 1081 1024 0.99      
13 A' 1025 971 5.39      
14 A' 950 900 2.08      
15 A' 899 851 1.37      
16 A' 839 794 33.14      
17 A' 734 696 46.54      
18 A' 554 525 97.17      
19 A' 288 273 4.74      
20 A" 3126 2961 5.48      
21 A" 3111 2947 30.43      
22 A" 3079 2916 13.54      
23 A" 2973 2816 32.22      
24 A" 1567 1485 0.48      
25 A" 1532 1451 1.69      
26 A" 1461 1384 5.54      
27 A" 1361 1289 0.22      
28 A" 1339 1269 23.21      
29 A" 1278 1211 7.17      
30 A" 1217 1152 0.21      
31 A" 1140 1080 11.04      
32 A" 1125 1065 2.47      
33 A" 932 883 0.66      
34 A" 891 844 2.76      
35 A" 647 613 0.96      
36 A" 43i 41i 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 28658.0 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 27144.8 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 M06-2X/3-21G*
ABC
0.22439 0.22419 0.12802

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.543 -1.099 0.000
H2 0.511 -2.122 0.000
C3 -0.108 -0.474 1.176
C4 -0.108 -0.474 -1.176
C5 -0.108 1.030 0.784
C6 -0.108 1.030 -0.784
H7 -1.149 -0.812 1.320
H8 -1.149 -0.812 -1.320
H9 0.462 -0.671 2.086
H10 0.462 -0.671 -2.086
H11 0.800 1.508 1.155
H12 0.800 1.508 -1.155
H13 -0.976 1.548 1.196
H14 -0.976 1.548 -1.196

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02321.48251.48252.36082.36082.16522.16522.13152.13152.86382.86383.27833.2783
H21.02322.11732.11733.30683.30682.49302.49302.54222.54223.82083.82084.13684.1368
C31.48252.11732.35191.55432.47071.10392.72571.09213.31762.18063.19212.20063.2357
C41.48252.11732.35192.47071.55432.72571.10393.31761.09213.19212.18063.23572.2006
C52.36083.30681.55432.47071.56832.18302.98442.21653.38481.09152.19431.09182.2236
C62.36083.30682.47071.55431.56832.98442.18303.38482.21652.19431.09152.22361.0918
H72.16522.49301.10392.72572.18302.98442.64091.78943.77123.03513.91332.36983.4546
H82.16522.49302.72571.10392.98442.18302.64093.77121.78943.91333.03513.45462.3698
H92.13152.54221.09213.31762.21653.38481.78943.77124.17282.39353.92052.78984.2150
H102.13152.54223.31761.09213.38482.21653.77121.78944.17283.92052.39354.21502.7898
H112.86383.82082.18063.19211.09152.19433.03513.91332.39353.92052.31061.77752.9475
H122.86383.82083.19212.18062.19431.09153.91333.03513.92052.39352.31062.94751.7775
H133.27834.13682.20063.23571.09182.22362.36983.45462.78984.21501.77752.94752.3925
H143.27834.13683.23572.20062.22361.09183.45462.36984.21502.78982.94751.77752.3925

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.019 N1 C3 H7 112.863
N1 C3 H9 110.862 N1 C4 C6 102.019
N1 C4 H8 112.863 N1 C4 H10 110.862
H2 N1 C3 114.083 H2 N1 C4 114.083
C3 N1 C4 104.979 C3 C5 C6 104.601
C3 C5 H11 109.774 C3 C5 H13 111.335
C4 C6 C5 104.601 C4 C6 H12 109.774
C4 C6 H14 111.335 C5 C3 H7 109.244
C5 C3 H9 112.599 C5 C6 H12 109.879
C5 C6 H14 112.177 C6 C4 H8 109.244
C6 C4 H10 112.599 C6 C5 H11 109.879
C6 C5 H13 112.177 H7 C3 H9 109.150
H8 C4 H10 109.150 H11 C5 H13 109.002
H12 C6 H14 109.002
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.595      
2 H 0.278      
3 C -0.235      
4 C -0.235      
5 C -0.398      
6 C -0.398      
7 H 0.171      
8 H 0.171      
9 H 0.207      
10 H 0.207      
11 H 0.215      
12 H 0.215      
13 H 0.198      
14 H 0.198      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.995 -0.301 0.000 1.039
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.315 0.667 0.000
y 0.667 -30.147 0.000
z 0.000 0.000 -31.118
Traceless
 xyz
x -3.683 0.667 0.000
y 0.667 2.570 0.000
z 0.000 0.000 1.113
Polar
3z2-r22.226
x2-y2-4.169
xy0.667
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.818 -0.148 0.000
y -0.148 6.607 0.000
z 0.000 0.000 7.061


<r2> (average value of r2) Å2
<r2> 110.410
(<r2>)1/2 10.508