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All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: wB97X-D/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 wB97X-D/cc-pVDZ
 hartrees
Energy at 0K-212.538398
Energy at 298.15K-212.550022
HF Energy-212.538398
Nuclear repulsion energy190.331224
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 wB97X-D/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' 3602 3431 0.74      
2 A' 3162 3012 58.51      
3 A' 3120 2972 7.99      
4 A' 3105 2958 49.95      
5 A' 2961 2820 161.16      
6 A' 1551 1477 0.59      
7 A' 1524 1452 6.49      
8 A' 1401 1335 1.12      
9 A' 1335 1271 2.28      
10 A' 1261 1202 1.49      
11 A' 1242 1183 7.04      
12 A' 1086 1034 0.40      
13 A' 1019 970 2.41      
14 A' 967 921 11.70      
15 A' 918 875 3.25      
16 A' 886 844 60.70      
17 A' 784 747 31.14      
18 A' 589 561 55.49      
19 A' 308 294 4.83      
20 A" 3142 2993 0.60      
21 A" 3115 2967 80.99      
22 A" 3096 2949 18.09      
23 A" 2959 2818 51.10      
24 A" 1532 1459 0.35      
25 A" 1501 1430 1.04      
26 A" 1448 1379 13.54      
27 A" 1341 1278 6.52      
28 A" 1319 1257 19.13      
29 A" 1259 1199 5.22      
30 A" 1214 1156 0.45      
31 A" 1160 1105 10.65      
32 A" 1127 1074 0.25      
33 A" 949 904 0.57      
34 A" 888 846 2.58      
35 A" 644 614 0.82      
36 A" 99 94 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 28806.1 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 27440.7 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 wB97X-D/cc-pVDZ
ABC
0.22987 0.22748 0.13027

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.526 -1.103 0.000
H2 0.404 -2.111 0.000
C3 -0.100 -0.466 1.159
C4 -0.100 -0.466 -1.159
C5 -0.100 1.024 0.776
C6 -0.100 1.024 -0.776
H7 -1.139 -0.812 1.309
H8 -1.139 -0.812 -1.309
H9 0.461 -0.677 2.073
H10 0.461 -0.677 -2.073
H11 0.800 1.511 1.159
H12 0.800 1.511 -1.159
H13 -0.963 1.548 1.197
H14 -0.963 1.548 -1.197

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01511.46301.46302.34962.34962.13782.13782.11782.11782.87242.87243.26773.2677
H21.01512.07432.07433.26913.26912.40502.40502.52172.52173.82323.82324.08554.0855
C31.46302.07432.31761.53892.44241.10492.69971.09373.28742.17263.17652.19173.2171
C41.46302.07432.31762.44241.53892.69971.10493.28741.09373.17652.17263.21712.1917
C52.34963.26911.53892.44241.55212.17572.96602.21183.36581.09282.18881.09332.2158
C62.34963.26912.44241.53891.55212.96602.17573.36582.21182.18881.09282.21581.0933
H72.13782.40501.10492.69972.17572.96602.61821.77853.74443.02953.90442.36923.4466
H82.13782.40502.69971.10492.96602.17572.61823.74441.77853.90443.02953.44662.3692
H92.11782.52171.09373.28742.21183.36581.77853.74444.14682.39533.91742.78344.2038
H102.11782.52173.28741.09373.36582.21183.74441.77854.14683.91742.39534.20382.7834
H112.87243.82322.17263.17651.09282.18883.02953.90442.39533.91742.31711.76392.9423
H122.87243.82323.17652.17262.18881.09283.90443.02953.91742.39532.31712.94231.7639
H133.26774.08552.19173.21711.09332.21582.36923.44662.78344.20381.76392.94232.3933
H143.26774.08553.21712.19172.21581.09333.44662.36924.20382.78342.94231.76392.3933

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.987 N1 C3 H7 111.958
N1 C3 H9 111.024 N1 C4 C6 102.987
N1 C4 H8 111.958 N1 C4 H10 111.024
H2 N1 C3 112.401 H2 N1 C4 112.401
C3 N1 C4 104.752 C3 C5 C6 104.401
C3 C5 H11 110.132 C3 C5 H13 111.626
C4 C6 C5 104.401 C4 C6 H12 110.132
C4 C6 H14 111.626 C5 C3 H7 109.673
C5 C3 H9 113.231 C5 C6 H12 110.488
C5 C6 H14 112.626 C6 C4 H8 109.673
C6 C4 H10 113.231 C6 C5 H11 110.488
C6 C5 H13 112.626 H7 C3 H9 107.984
H8 C4 H10 107.984 H11 C5 H13 107.584
H12 C6 H14 107.584
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.405      
2 H 0.294      
3 C -0.271      
4 C -0.271      
5 C -0.269      
6 C -0.269      
7 H 0.130      
8 H 0.130      
9 H 0.149      
10 H 0.149      
11 H 0.163      
12 H 0.163      
13 H 0.153      
14 H 0.153      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.081 -0.199 0.000 1.099
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.747 0.973 0.000
y 0.973 -30.380 0.000
z 0.000 0.000 -31.541
Traceless
 xyz
x -3.787 0.973 0.000
y 0.973 2.764 0.000
z 0.000 0.000 1.023
Polar
3z2-r22.046
x2-y2-4.367
xy0.973
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.337 -0.087 0.000
y -0.087 7.804 0.000
z 0.000 0.000 8.249


<r2> (average value of r2) Å2
<r2> 109.153
(<r2>)1/2 10.448