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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: HF/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/aug-cc-pVDZ
 hartrees
Energy at 0K-211.174315
Energy at 298.15K-211.186090
Nuclear repulsion energy190.766316
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 HF/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3769 3432 0.89      
2 A' 3253 2963 102.81      
3 A' 3225 2937 4.06      
4 A' 3206 2919 64.92      
5 A' 3097 2820 154.47      
6 A' 1644 1497 0.44      
7 A' 1615 1471 4.16      
8 A' 1514 1378 2.83      
9 A' 1431 1303 1.54      
10 A' 1355 1234 2.46      
11 A' 1324 1206 8.59      
12 A' 1142 1040 0.41      
13 A' 1067 972 2.91      
14 A' 1010 920 14.04      
15 A' 963 877 11.27      
16 A' 946 861 44.04      
17 A' 827 753 20.33      
18 A' 621 565 42.82      
19 A' 305 278 3.82      
20 A" 3231 2942 28.74      
21 A" 3216 2929 84.48      
22 A" 3191 2906 24.73      
23 A" 3091 2815 44.89      
24 A" 1626 1481 1.51      
25 A" 1593 1451 0.34      
26 A" 1565 1425 12.03      
27 A" 1439 1311 15.28      
28 A" 1417 1290 12.65      
29 A" 1349 1228 3.88      
30 A" 1305 1188 0.49      
31 A" 1228 1118 12.97      
32 A" 1189 1083 2.24      
33 A" 994 905 0.02      
34 A" 931 848 2.35      
35 A" 683 622 1.04      
36 A" 75 69 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 30218.8 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 27517.3 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 HF/aug-cc-pVDZ
ABC
0.23071 0.22846 0.13044

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.513 -1.103 0.000
H2 0.393 -2.097 0.000
C3 -0.098 -0.466 1.158
C4 -0.098 -0.466 -1.158
C5 -0.098 1.022 0.775
C6 -0.098 1.022 -0.775
H7 -1.128 -0.811 1.324
H8 -1.128 -0.811 -1.324
H9 0.473 -0.672 2.062
H10 0.473 -0.672 -2.062
H11 0.798 1.509 1.155
H12 0.798 1.509 -1.155
H13 -0.958 1.544 1.193
H14 -0.958 1.544 -1.193

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.00131.45581.45582.34302.34302.12782.12782.10682.10682.87052.87053.25423.2542
H21.00132.05952.05953.25123.25122.39092.39092.50762.50763.80853.80854.06214.0621
C31.45582.05952.31591.53652.43961.09842.70871.08893.27662.16913.17112.18633.2099
C41.45582.05952.31592.43961.53652.70871.09843.27661.08893.17112.16913.20992.1863
C52.34303.25121.53652.43961.55052.17282.97082.20283.35361.08852.18341.08912.2100
C62.34303.25122.43961.53651.55052.97082.17283.35362.20282.18341.08852.21001.0891
H72.12782.39091.09842.70872.17282.97082.64731.76813.74743.02013.90352.36443.4503
H82.12782.39092.70871.09842.97082.17282.64733.74741.76813.90353.02013.45032.3644
H92.10682.50761.08893.27662.20283.35361.76813.74744.12382.38483.90072.77754.1893
H102.10682.50763.27661.08893.35362.20283.74741.76814.12383.90072.38484.18932.7775
H112.87053.80852.16913.17111.08852.18343.02013.90352.38483.90072.31051.75712.9322
H122.87053.80853.17112.16912.18341.08853.90353.02013.90072.38482.31052.93221.7571
H133.25424.06212.18633.20991.08912.21002.36443.45032.77754.18931.75712.93222.3850
H143.25424.06213.20992.18632.21001.08913.45032.36444.18932.77752.93221.75712.3850

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 103.038 N1 C3 H7 112.068
N1 C3 H9 110.944 N1 C4 C6 103.038
N1 C4 H8 112.068 N1 C4 H10 110.944
H2 N1 C3 112.583 H2 N1 C4 112.583
C3 N1 C4 105.385 C3 C5 C6 104.423
C3 C5 H11 110.279 C3 C5 H13 111.614
C4 C6 C5 104.423 C4 C6 H12 110.279
C4 C6 H14 111.614 C5 C3 H7 109.988
C5 C3 H9 112.969 C5 C6 H12 110.431
C5 C6 H14 112.528 C6 C4 H8 109.988
C6 C4 H10 112.969 C6 C5 H11 110.431
C6 C5 H13 112.528 H7 C3 H9 107.864
H8 C4 H10 107.864 H11 C5 H13 107.587
H12 C6 H14 107.587
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.644      
2 H -0.085      
3 C 0.803      
4 C 0.803      
5 C 0.223      
6 C 0.223      
7 H -0.188      
8 H -0.188      
9 H -0.216      
10 H -0.216      
11 H -0.143      
12 H -0.143      
13 H -0.115      
14 H -0.115      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.035 -0.203 0.000 1.054
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.540 0.998 0.000
y 0.998 -30.875 0.000
z 0.000 0.000 -32.020
Traceless
 xyz
x -3.093 0.998 0.000
y 0.998 2.405 0.000
z 0.000 0.000 0.688
Polar
3z2-r21.375
x2-y2-3.665
xy0.998
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> 109.026
(<r2>)1/2 10.442