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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B97D3/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-212.519114
Energy at 298.15K-212.530549
HF Energy-212.519114
Nuclear repulsion energy189.791138
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 B97D3/6-311+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' 3467 3422 0.08      
2 A' 3056 3016 66.42      
3 A' 3018 2979 14.81      
4 A' 3004 2965 45.24      
5 A' 2859 2821 172.15      
6 A' 1501 1481 0.75      
7 A' 1476 1457 4.45      
8 A' 1360 1342 1.72      
9 A' 1286 1269 1.01      
10 A' 1216 1200 1.73      
11 A' 1196 1180 4.57      
12 A' 1043 1030 0.69      
13 A' 982 970 2.66      
14 A' 918 906 3.92      
15 A' 880 868 1.44      
16 A' 849 838 48.28      
17 A' 747 738 31.55      
18 A' 568 561 49.79      
19 A' 295 291 4.01      
20 A" 3034 2995 0.66      
21 A" 3011 2972 100.46      
22 A" 2997 2958 8.01      
23 A" 2855 2818 57.97      
24 A" 1482 1463 0.32      
25 A" 1459 1440 0.77      
26 A" 1404 1386 6.46      
27 A" 1298 1281 1.73      
28 A" 1277 1261 16.14      
29 A" 1219 1203 5.49      
30 A" 1176 1160 0.04      
31 A" 1103 1089 9.69      
32 A" 1075 1061 8.35      
33 A" 910 898 0.19      
34 A" 855 844 3.59      
35 A" 627 618 0.87      
36 A" 81 80 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 27791.5 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 27430.2 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 B97D3/6-311+G(3df,2p)
ABC
0.22835 0.22622 0.12947

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.530 -1.104 0.000
H2 0.406 -2.112 0.000
C3 -0.101 -0.468 1.162
C4 -0.101 -0.468 -1.162
C5 -0.101 1.025 0.778
C6 -0.101 1.025 -0.778
H7 -1.141 -0.812 1.319
H8 -1.141 -0.812 -1.319
H9 0.464 -0.678 2.076
H10 0.464 -0.678 -2.076
H11 0.798 1.516 1.160
H12 0.798 1.516 -1.160
H13 -0.967 1.546 1.197
H14 -0.967 1.546 -1.197

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01591.46791.46792.35292.35292.14922.14922.12012.12012.87792.87793.27043.2704
H21.01592.07652.07653.27163.27162.41282.41282.52382.52383.82933.82934.08634.0863
C31.46792.07652.32491.54142.44841.10712.71251.09473.29402.17813.18432.19233.2202
C41.46792.07652.32492.44841.54142.71251.10713.29401.09473.18432.17813.22022.1923
C52.35293.27161.54142.44841.55642.17982.97602.21433.37121.09332.19261.09342.2181
C62.35293.27162.44841.54141.55642.97602.17983.37122.21432.19261.09332.21811.0934
H72.14922.41281.10712.71252.17982.97602.63761.78053.75783.03463.91542.36863.4528
H82.14922.41282.71251.10712.97602.17982.63763.75781.78053.91543.03463.45282.3686
H92.12012.52381.09473.29402.21433.37121.78053.75784.15172.40053.92402.78704.2074
H102.12012.52383.29401.09473.37122.21433.75781.78054.15173.92402.40054.20742.7870
H112.87793.82932.17813.18431.09332.19263.03463.91542.40053.92402.32081.76492.9442
H122.87793.82933.18432.17812.19261.09333.91543.03463.92402.40052.32082.94421.7649
H133.27044.08632.19233.22021.09342.21812.36863.45282.78704.20741.76492.94422.3930
H143.27044.08633.22022.19232.21811.09343.45282.36864.20742.78702.94421.76492.3930

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.927 N1 C3 H7 112.161
N1 C3 H9 111.037 N1 C4 C6 102.927
N1 C4 H8 112.161 N1 C4 H10 111.037
H2 N1 C3 112.284 H2 N1 C4 112.284
C3 N1 C4 104.753 C3 C5 C6 104.464
C3 C5 H11 110.213 C3 C5 H13 111.635
C4 C6 C5 104.464 C4 C6 H12 110.213
C4 C6 H14 111.635 C5 C3 H7 109.598
C5 C3 H9 113.309 C5 C6 H12 110.456
C5 C6 H14 112.598 C6 C4 H8 109.598
C6 C4 H10 113.309 C6 C5 H11 110.456
C6 C5 H13 112.598 H7 C3 H9 107.841
H8 C4 H10 107.841 H11 C5 H13 107.497
H12 C6 H14 107.497
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.840      
2 H 0.180      
3 C 0.039      
4 C 0.039      
5 C -0.155      
6 C -0.155      
7 H 0.114      
8 H 0.114      
9 H 0.099      
10 H 0.099      
11 H 0.119      
12 H 0.119      
13 H 0.114      
14 H 0.114      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.901 -0.207 0.000 0.924
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.769 0.842 0.000
y 0.842 -30.826 0.000
z 0.000 0.000 -32.072
Traceless
 xyz
x -3.320 0.842 0.000
y 0.842 2.595 0.000
z 0.000 0.000 0.725
Polar
3z2-r21.450
x2-y2-3.943
xy0.842
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.044 -0.179 0.000
y -0.179 8.805 0.000
z 0.000 0.000 9.258


<r2> (average value of r2) Å2
<r2> 109.868
(<r2>)1/2 10.482