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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31+G**
 hartrees
Energy at 0K-212.604659
Energy at 298.15K-212.616147
Nuclear repulsion energy189.633224
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 B3LYPultrafine/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' 3543 3410 0.18      
2 A' 3119 3003 64.20      
3 A' 3084 2969 7.41      
4 A' 3070 2955 49.99      
5 A' 2929 2820 172.20      
6 A' 1533 1476 0.39      
7 A' 1510 1454 4.89      
8 A' 1394 1342 2.37      
9 A' 1318 1269 1.53      
10 A' 1246 1200 1.45      
11 A' 1223 1178 6.51      
12 A' 1065 1025 0.50      
13 A' 1000 962 3.31      
14 A' 941 906 7.74      
15 A' 898 864 2.07      
16 A' 867 834 61.24      
17 A' 766 737 34.15      
18 A' 579 557 57.32      
19 A' 291 280 4.43      
20 A" 3099 2983 1.82      
21 A" 3079 2964 82.40      
22 A" 3061 2947 17.15      
23 A" 2924 2815 54.96      
24 A" 1516 1459 0.70      
25 A" 1492 1436 0.73      
26 A" 1437 1384 8.60      
27 A" 1328 1278 4.16      
28 A" 1309 1260 20.16      
29 A" 1247 1200 5.10      
30 A" 1202 1157 0.34      
31 A" 1134 1092 11.12      
32 A" 1106 1065 4.01      
33 A" 930 895 0.25      
34 A" 872 840 3.20      
35 A" 636 612 0.92      
36 A" 80 77 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 28411.6 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 27351.9 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 B3LYPultrafine/6-31+G**
ABC
0.22781 0.22600 0.12908

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.523 -1.105 0.000
H2 0.417 -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 -1.139 -0.812 1.329
H8 -1.139 -0.812 -1.329
H9 0.471 -0.678 2.075
H10 0.471 -0.678 -2.075
H11 0.799 1.518 1.162
H12 0.799 1.518 -1.162
H13 -0.965 1.549 1.199
H14 -0.965 1.549 -1.199

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01621.46681.46682.35372.35372.14872.14872.11912.11912.88232.88233.27083.2708
H21.01622.08292.08293.27853.27852.42662.42662.52502.52503.83423.83424.09624.0962
C31.46682.08292.33001.54392.45251.10652.72361.09473.29662.18063.18882.19543.2257
C41.46682.08292.33002.45251.54392.72361.10653.29661.09473.18882.18063.22572.1954
C52.35373.27851.54392.45251.55852.18212.98402.21603.37311.09382.19481.09412.2211
C62.35373.27852.45251.54391.55852.98402.18213.37312.21602.19481.09382.22111.0941
H72.14872.42661.10652.72362.18212.98402.65831.77983.76823.03553.92302.37103.4633
H82.14872.42662.72361.10652.98402.18212.65833.76821.77983.92303.03553.46332.3710
H92.11912.52501.09473.29662.21603.37311.77983.76824.14982.40103.92502.79124.2118
H102.11912.52503.29661.09473.37312.21603.76821.77984.14983.92502.40104.21182.7912
H112.88233.83422.18063.18881.09382.19483.03553.92302.40103.92502.32331.76472.9468
H122.88233.83423.18882.18062.19481.09383.92303.03553.92502.40102.32332.94681.7647
H133.27084.09622.19543.22571.09412.22112.37103.46332.79124.21181.76472.94682.3973
H143.27084.09623.22572.19542.22111.09413.46332.37104.21182.79122.94681.76472.3973

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.820 N1 C3 H7 112.472
N1 C3 H9 110.799 N1 C4 C6 102.820
N1 C4 H8 112.472 N1 C4 H10 110.799
H2 N1 C3 112.781 H2 N1 C4 112.781
C3 N1 C4 105.164 C3 C5 C6 104.470
C3 C5 H11 110.361 C3 C5 H13 111.514
C4 C6 C5 104.470 C4 C6 H12 110.361
C4 C6 H14 111.514 C5 C3 H7 109.733
C5 C3 H9 113.145 C5 C6 H12 110.462
C5 C6 H14 112.542 C6 C4 H8 109.733
C6 C4 H10 113.145 C6 C5 H11 110.462
C6 C5 H13 112.542 H7 C3 H9 107.904
H8 C4 H10 107.904 H11 C5 H13 107.519
H12 C6 H14 107.519
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.387      
2 H 0.282      
3 C -0.267      
4 C -0.267      
5 C -0.224      
6 C -0.224      
7 H 0.122      
8 H 0.122      
9 H 0.134      
10 H 0.134      
11 H 0.150      
12 H 0.150      
13 H 0.139      
14 H 0.139      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.019 -0.194 0.000 1.038
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.182 0.932 0.003
y 0.932 -30.842 0.000
z 0.003 0.000 -32.069
Traceless
 xyz
x -3.727 0.932 0.003
y 0.932 2.784 0.000
z 0.003 0.000 0.943
Polar
3z2-r21.885
x2-y2-4.341
xy0.932
xz0.003
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.504 -0.121 -0.000
y -0.121 8.030 -0.000
z -0.000 -0.000 8.519


<r2> (average value of r2) Å2
<r2> 110.174
(<r2>)1/2 10.496