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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-211.351153
Energy at 298.15K-211.362542
Nuclear repulsion energy188.785248
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 B3PW91/3-21G
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' 3465 3330 1.06      
2 A' 3162 3039 42.39      
3 A' 3114 2994 10.16      
4 A' 3100 2980 34.06      
5 A' 2950 2835 131.67      
6 A' 1577 1516 2.31      
7 A' 1548 1488 7.28      
8 A' 1411 1356 0.07      
9 A' 1345 1293 4.75      
10 A' 1249 1201 3.86      
11 A' 1247 1199 1.09      
12 A' 1080 1038 1.09      
13 A' 1024 984 6.28      
14 A' 943 906 1.06      
15 A' 895 861 1.35      
16 A' 842 809 30.81      
17 A' 736 707 46.99      
18 A' 550 529 98.93      
19 A' 285 273 4.64      
20 A" 3139 3018 0.44      
21 A" 3106 2985 63.66      
22 A" 3092 2972 6.12      
23 A" 2943 2829 46.10      
24 A" 1557 1497 0.56      
25 A" 1528 1469 1.98      
26 A" 1458 1401 4.85      
27 A" 1361 1308 0.08      
28 A" 1334 1282 20.52      
29 A" 1278 1228 10.63      
30 A" 1213 1166 0.01      
31 A" 1129 1085 9.38      
32 A" 1108 1065 6.78      
33 A" 929 892 0.71      
34 A" 888 854 3.27      
35 A" 648 623 1.11      
36 A" 30 29 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 28631.4 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 27520.5 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 B3PW91/3-21G
ABC
0.22469 0.22456 0.12824

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.542 -1.100 0.000
H2 0.494 -2.122 0.000
C3 -0.107 -0.473 1.174
C4 -0.107 -0.473 -1.174
C5 -0.107 1.028 0.783
C6 -0.107 1.028 -0.783
H7 -1.151 -0.809 1.327
H8 -1.151 -0.809 -1.327
H9 0.467 -0.669 2.086
H10 0.467 -0.669 -2.086
H11 0.802 1.510 1.156
H12 0.802 1.510 -1.156
H13 -0.978 1.547 1.195
H14 -0.978 1.547 -1.195

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02371.48061.48062.35862.35862.17042.17042.13102.13102.86572.86573.27733.2773
H21.02372.11182.11183.30173.30172.48832.48832.54212.54213.82373.82374.12994.1299
C31.48062.11182.34861.55182.46711.10712.73151.09453.31582.18123.19172.19973.2331
C41.48062.11182.34862.46711.55182.73151.10713.31581.09453.19172.18123.23312.1997
C52.35863.30171.55182.46711.56632.18242.98682.21523.38241.09362.19471.09402.2228
C62.35863.30172.46711.55181.56632.98682.18243.38242.21522.19471.09362.22281.0940
H72.17042.48831.10712.73152.18242.98682.65491.79163.77953.03623.91862.36603.4560
H82.17042.48832.73151.10712.98682.18242.65493.77951.79163.91863.03623.45602.3660
H92.13102.54211.09453.31582.21523.38241.79163.77954.17142.39253.92012.79094.2143
H102.13102.54213.31581.09453.38242.21523.77951.79164.17143.92012.39254.21432.7909
H112.86573.82372.18123.19171.09362.19473.03623.91862.39253.92012.31161.78022.9487
H122.86573.82373.19172.18122.19471.09363.91863.03623.92012.39252.31162.94871.7802
H133.27734.12992.19973.23311.09402.22282.36603.45602.79094.21431.78022.94872.3904
H143.27734.12993.23312.19972.22281.09403.45602.36604.21432.79092.94871.78022.3904

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.093 N1 C3 H7 113.226
N1 C3 H9 110.799 N1 C4 C6 102.093
N1 C4 H8 113.226 N1 C4 H10 110.799
H2 N1 C3 113.722 H2 N1 C4 113.722
C3 N1 C4 104.953 C3 C5 C6 104.600
C3 C5 H11 109.877 C3 C5 H13 111.314
C4 C6 C5 104.600 C4 C6 H12 109.877
C4 C6 H14 111.314 C5 C3 H7 109.188
C5 C3 H9 112.527 C5 C6 H12 109.925
C5 C6 H14 112.126 C6 C4 H8 109.188
C6 C4 H10 112.527 C6 C5 H11 109.925
C6 C5 H13 112.126 H7 C3 H9 108.930
H8 C4 H10 108.930 H11 C5 H13 108.936
H12 C6 H14 108.936
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.578      
2 H 0.283      
3 C -0.267      
4 C -0.267      
5 C -0.422      
6 C -0.422      
7 H 0.182      
8 H 0.182      
9 H 0.218      
10 H 0.218      
11 H 0.228      
12 H 0.228      
13 H 0.210      
14 H 0.210      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.944 -0.318 0.000 0.997
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.018 0.644 0.000
y 0.644 -29.801 0.000
z 0.000 0.000 -30.920
Traceless
 xyz
x -3.657 0.644 0.000
y 0.644 2.668 0.000
z 0.000 0.000 0.989
Polar
3z2-r21.979
x2-y2-4.217
xy0.644
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> 110.135
(<r2>)1/2 10.495