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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: PBEPBE/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 PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-212.300161
Energy at 298.15K-212.311576
Nuclear repulsion energy189.254492
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/cc-pVDZ
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' 3413 3394 1.19      
2 A' 3058 3040 48.12      
3 A' 3012 2995 17.26      
4 A' 2998 2981 34.54      
5 A' 2832 2815 163.63      
6 A' 1453 1444 0.87      
7 A' 1424 1416 4.97      
8 A' 1340 1333 3.00      
9 A' 1262 1255 0.64      
10 A' 1197 1190 1.63      
11 A' 1176 1169 5.98      
12 A' 1046 1040 0.43      
13 A' 985 979 0.72      
14 A' 928 922 4.48      
15 A' 895 890 2.87      
16 A' 861 856 62.37      
17 A' 738 734 24.01      
18 A' 563 560 41.92      
19 A' 305 303 3.68      
20 A" 3039 3021 0.02      
21 A" 3004 2987 87.27      
22 A" 2992 2975 2.68      
23 A" 2826 2810 51.18      
24 A" 1431 1423 1.05      
25 A" 1403 1395 0.47      
26 A" 1381 1373 3.58      
27 A" 1271 1263 11.62      
28 A" 1248 1241 11.43      
29 A" 1192 1185 6.92      
30 A" 1153 1146 0.30      
31 A" 1107 1100 13.48      
32 A" 1069 1063 0.06      
33 A" 920 915 0.21      
34 A" 844 839 3.03      
35 A" 617 614 0.47      
36 A" 80 80 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 27530.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 27371.0 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/cc-pVDZ
ABC
0.22768 0.22502 0.12965

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.551 -1.092 0.000
H2 0.428 -2.114 0.000
C3 -0.105 -0.472 1.156
C4 -0.105 -0.472 -1.156
C5 -0.105 1.025 0.779
C6 -0.105 1.025 -0.779
H7 -1.162 -0.821 1.305
H8 -1.162 -0.821 -1.305
H9 0.452 -0.688 2.091
H10 0.452 -0.688 -2.091
H11 0.806 1.521 1.167
H12 0.806 1.521 -1.167
H13 -0.979 1.553 1.208
H14 -0.979 1.553 -1.208

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.02871.46681.46682.34922.34922.17092.17092.13172.13172.87322.87323.28593.2859
H21.02872.07712.07713.27733.27732.42962.42962.53052.53053.83603.83604.10894.1089
C31.46682.07712.31271.54432.44671.12332.70171.10933.30172.19203.19392.20663.2338
C41.46682.07712.31272.44671.54432.70171.12333.30171.10933.19392.19203.23382.2066
C52.34923.27731.54432.44671.55742.19192.97822.22873.38821.10762.20471.10752.2338
C62.34923.27732.44671.54431.55742.97822.19193.38822.22872.20471.10762.23381.1075
H72.17092.42961.12332.70172.19192.97822.61051.80073.76283.06303.93352.38373.4626
H82.17092.42962.70171.12332.97822.19192.61053.76281.80073.93353.06303.46262.3837
H92.13172.53051.10933.30172.22873.38821.80073.76284.18152.42093.95182.80204.2373
H102.13172.53053.30171.10933.38822.22873.76281.80074.18153.95182.42094.23732.8020
H112.87323.83602.19203.19391.10762.20473.06303.93352.42093.95182.33311.78552.9707
H122.87323.83603.19392.19202.20471.10763.93353.06303.95182.42092.33312.97071.7855
H133.28594.10892.20663.23381.10752.23382.38373.46262.80204.23731.78552.97072.4162
H143.28594.10893.23382.20662.23381.10753.46262.38374.23732.80202.97071.78552.4162

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.524 N1 C3 H7 113.219
N1 C3 H9 110.922 N1 C4 C6 102.524
N1 C4 H8 113.219 N1 C4 H10 110.922
H2 N1 C3 111.471 H2 N1 C4 111.471
C3 N1 C4 104.061 C3 C5 C6 104.154
C3 C5 H11 110.415 C3 C5 H13 111.574
C4 C6 C5 104.154 C4 C6 H12 110.415
C4 C6 H14 111.574 C5 C3 H7 109.491
C5 C3 H9 113.242 C5 C6 H12 110.498
C5 C6 H14 112.812 C6 C4 H8 109.491
C6 C4 H10 113.242 C6 C5 H11 110.498
C6 C5 H13 112.812 H7 C3 H9 107.515
H8 C4 H10 107.515 H11 C5 H13 107.417
H12 C6 H14 107.417
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.194      
2 H 0.076      
3 C 0.031      
4 C 0.031      
5 C -0.032      
6 C -0.032      
7 H 0.001      
8 H 0.001      
9 H 0.014      
10 H 0.014      
11 H 0.029      
12 H 0.029      
13 H 0.016      
14 H 0.016      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.662 -0.335 0.000 0.742
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.123 0.500 0.000
y 0.500 -30.509 0.000
z 0.000 0.000 -31.956
Traceless
 xyz
x -2.891 0.500 0.000
y 0.500 2.531 0.000
z 0.000 0.000 0.360
Polar
3z2-r20.720
x2-y2-3.614
xy0.500
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.945 -0.085 0.000
y -0.085 7.805 0.000
z 0.000 0.000 8.339


<r2> (average value of r2) Å2
<r2> 109.972
(<r2>)1/2 10.487