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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-212.604682
Energy at 298.15K-212.616202
Nuclear repulsion energy189.638443
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/6-31+G**
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' 3542 3415 0.18      
2 A' 3120 3008 64.18      
3 A' 3085 2974 7.35      
4 A' 3071 2961 49.98      
5 A' 2929 2824 172.54      
6 A' 1536 1481 0.51      
7 A' 1511 1457 4.76      
8 A' 1395 1345 2.39      
9 A' 1319 1272 1.56      
10 A' 1247 1202 1.43      
11 A' 1224 1180 6.47      
12 A' 1065 1027 0.51      
13 A' 1001 965 3.27      
14 A' 941 907 7.90      
15 A' 898 866 2.16      
16 A' 868 837 60.80      
17 A' 767 740 34.02      
18 A' 580 560 57.49      
19 A' 298 287 4.59      
20 A" 3100 2989 1.79      
21 A" 3079 2969 82.69      
22 A" 3062 2952 16.94      
23 A" 2925 2820 54.78      
24 A" 1518 1463 0.70      
25 A" 1492 1439 0.74      
26 A" 1437 1386 8.54      
27 A" 1328 1281 4.14      
28 A" 1310 1263 20.28      
29 A" 1247 1202 5.09      
30 A" 1202 1159 0.35      
31 A" 1135 1094 10.92      
32 A" 1106 1067 4.10      
33 A" 930 897 0.27      
34 A" 874 843 3.19      
35 A" 638 615 0.93      
36 A" 90 87 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 28434.4 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 27416.4 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/6-31+G**
ABC
0.22784 0.22599 0.12910

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.524 -1.105 0.000
H2 0.418 -2.116 0.000
C3 -0.100 -0.468 1.165
C4 -0.100 -0.468 -1.165
C5 -0.100 1.026 0.779
C6 -0.100 1.026 -0.779
H7 -1.140 -0.812 1.328
H8 -1.140 -0.812 -1.328
H9 0.470 -0.678 2.075
H10 0.470 -0.678 -2.075
H11 0.799 1.518 1.162
H12 0.799 1.518 -1.162
H13 -0.965 1.549 1.198
H14 -0.965 1.549 -1.198

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01621.46681.46682.35362.35362.14862.14862.11912.11912.88202.88203.27083.2708
H21.01622.08292.08293.27853.27852.42672.42672.52482.52483.83393.83394.09644.0964
C31.46682.08292.32971.54392.45241.10662.72271.09473.29652.18063.18872.19553.2256
C41.46682.08292.32972.45241.54392.72271.10663.29651.09473.18872.18063.22562.1955
C52.35363.27851.54392.45241.55832.18222.98352.21623.37321.09382.19481.09412.2209
C62.35363.27852.45241.54391.55832.98352.18223.37322.21622.19481.09382.22091.0941
H72.14862.42671.10662.72272.18222.98352.65641.77983.76723.03563.92262.37133.4627
H82.14862.42672.72271.10662.98352.18222.65643.76721.77983.92263.03563.46272.3713
H92.11912.52481.09473.29652.21623.37321.77983.76724.15012.40133.92542.79134.2118
H102.11912.52483.29651.09473.37322.21623.76721.77984.15013.92542.40134.21182.7913
H112.88203.83392.18063.18871.09382.19483.03563.92262.40133.92542.32341.76472.9467
H122.88203.83393.18872.18062.19481.09383.92263.03563.92542.40132.32342.94671.7647
H133.27084.09642.19553.22561.09412.22092.37133.46272.79134.21181.76472.94672.3970
H143.27084.09643.22562.19552.22091.09413.46272.37134.21182.79132.94671.76472.3970

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.812 N1 C3 H7 112.458
N1 C3 H9 110.808 N1 C4 C6 102.812
N1 C4 H8 112.458 N1 C4 H10 110.808
H2 N1 C3 112.783 H2 N1 C4 112.783
C3 N1 C4 105.148 C3 C5 C6 104.467
C3 C5 H11 110.356 C3 C5 H13 111.520
C4 C6 C5 104.467 C4 C6 H12 110.356
C4 C6 H14 111.520 C5 C3 H7 109.732
C5 C3 H9 113.162 C5 C6 H12 110.472
C5 C6 H14 112.535 C6 C4 H8 109.732
C6 C4 H10 113.162 C6 C5 H11 110.472
C6 C5 H13 112.535 H7 C3 H9 107.903
H8 C4 H10 107.903 H11 C5 H13 107.520
H12 C6 H14 107.520
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.387     -0.006
2 H 0.282     0.011
3 C -0.267     0.186
4 C -0.267     -0.006
5 C -0.224     0.011
6 C -0.224     0.186
7 H 0.122     0.035
8 H 0.122     0.007
9 H 0.134     -0.037
10 H 0.134     0.035
11 H 0.150     0.007
12 H 0.150     -0.037
13 H 0.139     -0.741
14 H 0.139     0.347


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.019 -0.195 0.000 1.038
CHELPG        
AIM        
ESP 1.002 -0.208 0.000 1.024


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.186 0.929 0.000
y 0.929 -30.840 0.000
z 0.000 0.000 -32.069
Traceless
 xyz
x -3.732 0.929 0.000
y 0.929 2.788 0.000
z 0.000 0.000 0.944
Polar
3z2-r21.888
x2-y2-4.346
xy0.929
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.505 0.121 0.000
y 0.121 8.031 0.000
z 0.000 0.000 8.519


<r2> (average value of r2) Å2
<r2> 110.173
(<r2>)1/2 10.496