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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-212.375012
Energy at 298.15K-212.386432
HF Energy-212.375012
Nuclear repulsion energy189.771441
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 PBEPBE/Def2TZVPP
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' 3445 3404 0.12      
2 A' 3051 3014 49.99      
3 A' 3011 2974 16.22      
4 A' 2998 2961 34.56      
5 A' 2849 2814 151.64      
6 A' 1477 1459 0.87      
7 A' 1452 1434 5.84      
8 A' 1343 1327 0.77      
9 A' 1269 1254 1.18      
10 A' 1201 1186 1.29      
11 A' 1183 1168 5.47      
12 A' 1042 1030 0.51      
13 A' 979 967 1.59      
14 A' 923 912 4.53      
15 A' 889 878 1.38      
16 A' 848 838 53.91      
17 A' 740 731 29.18      
18 A' 562 555 50.33      
19 A' 296 292 3.75      
20 A" 3030 2993 0.08      
21 A" 3003 2967 88.27      
22 A" 2992 2956 2.53      
23 A" 2846 2811 52.02      
24 A" 1458 1440 0.16      
25 A" 1435 1417 0.93      
26 A" 1388 1371 6.35      
27 A" 1279 1264 2.60      
28 A" 1259 1244 16.30      
29 A" 1203 1188 6.18      
30 A" 1159 1145 0.28      
31 A" 1099 1085 14.63      
32 A" 1073 1060 0.77      
33 A" 915 904 0.29      
34 A" 848 837 3.00      
35 A" 620 612 0.74      
36 A" 91 90 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 27626.8 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 27292.5 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 PBEPBE/Def2TZVPP
ABC
0.22845 0.22634 0.12975

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.534 -1.102 0.000
H2 0.415 -2.117 0.000
C3 -0.102 -0.468 1.161
C4 -0.102 -0.468 -1.161
C5 -0.102 1.025 0.778
C6 -0.102 1.025 -0.778
H7 -1.147 -0.813 1.314
H8 -1.147 -0.813 -1.314
H9 0.460 -0.678 2.083
H10 0.460 -0.678 -2.083
H11 0.802 1.515 1.161
H12 0.802 1.515 -1.161
H13 -0.968 1.551 1.200
H14 -0.968 1.551 -1.200

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02151.46821.46822.35232.35232.15342.15342.12652.12652.87602.87603.27673.2767
H21.02152.08182.08183.27733.27732.42212.42212.53142.53143.83273.83274.09954.0995
C31.46822.08182.32261.54122.44711.11102.70901.09933.29882.17943.18512.19723.2255
C41.46822.08182.32262.44711.54122.70901.11103.29881.09933.18512.17943.22552.1972
C52.35233.27731.54122.44711.55552.18102.97402.21773.37591.09742.19481.09772.2225
C62.35233.27732.44711.54121.55552.97402.18103.37592.21772.19481.09742.22251.0977
H72.15342.42211.11102.70902.18102.97402.62831.78623.76003.03993.91732.37363.4560
H82.15342.42212.70901.11102.97402.18102.62833.76001.78623.91733.03993.45602.3736
H92.12652.53141.09933.29882.21773.37591.78623.76004.16502.40353.93082.79044.2173
H102.12652.53143.29881.09933.37592.21773.76001.78624.16503.93082.40354.21732.7904
H112.87603.83272.17943.18511.09742.19483.03993.91732.40353.93082.32281.76992.9511
H122.87603.83273.18512.17942.19481.09743.91733.03993.93082.40352.32282.95111.7699
H133.27674.09952.19723.22551.09772.22252.37363.45602.79044.21731.76992.95112.4008
H143.27674.09953.22552.19722.22251.09773.45602.37364.21732.79042.95111.76992.4008

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.796 N1 C3 H7 112.478
N1 C3 H9 111.021 N1 C4 C6 102.796
N1 C4 H8 112.478 N1 C4 H10 111.021
H2 N1 C3 112.234 H2 N1 C4 112.234
C3 N1 C4 104.553 C3 C5 C6 104.411
C3 C5 H11 110.241 C3 C5 H13 111.635
C4 C6 C5 104.411 C4 C6 H12 110.241
C4 C6 H14 111.635 C5 C3 H7 109.567
C5 C3 H9 113.190 C5 C6 H12 110.463
C5 C6 H14 112.648 C6 C4 H8 109.567
C6 C4 H10 113.190 C6 C5 H11 110.463
C6 C5 H13 112.648 H7 C3 H9 107.823
H8 C4 H10 107.823 H11 C5 H13 107.469
H12 C6 H14 107.469
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.236      
2 H 0.125      
3 C -0.083      
4 C -0.083      
5 C -0.120      
6 C -0.120      
7 H 0.056      
8 H 0.056      
9 H 0.072      
10 H 0.072      
11 H 0.069      
12 H 0.069      
13 H 0.062      
14 H 0.062      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.813 -0.254 0.000 0.852
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.578 0.698 0.000
y 0.698 -30.861 0.000
z 0.000 0.000 -32.178
Traceless
 xyz
x -3.058 0.698 0.000
y 0.698 2.516 0.000
z 0.000 0.000 0.542
Polar
3z2-r21.084
x2-y2-3.716
xy0.698
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.674 -0.099 0.000
y -0.099 8.667 0.000
z 0.000 0.000 9.135


<r2> (average value of r2) Å2
<r2> 109.822
(<r2>)1/2 10.480