return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H9N (Pyrrolidine)

using model chemistry: B3LYP/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-31G
 hartrees
Energy at 0K-212.521641
Energy at 298.15K-212.533039
Nuclear repulsion energy188.764287
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 B3LYP/6-31G
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' 3557 3422 0.88      
2 A' 3134 3014 73.82      
3 A' 3097 2979 9.43      
4 A' 3079 2962 50.78      
5 A' 2924 2812 170.42      
6 A' 1573 1513 1.05      
7 A' 1551 1492 4.10      
8 A' 1419 1365 1.37      
9 A' 1338 1287 2.36      
10 A' 1254 1206 0.16      
11 A' 1241 1194 5.31      
12 A' 1085 1044 0.86      
13 A' 1014 976 3.93      
14 A' 949 913 5.02      
15 A' 900 866 0.80      
16 A' 840 808 18.36      
17 A' 738 710 46.82      
18 A' 545 524 128.47      
19 A' 262 252 4.15      
20 A" 3111 2993 2.34      
21 A" 3089 2972 79.89      
22 A" 3069 2953 15.93      
23 A" 2915 2804 62.86      
24 A" 1559 1499 1.81      
25 A" 1537 1478 1.02      
26 A" 1474 1418 5.11      
27 A" 1367 1315 0.24      
28 A" 1331 1281 24.97      
29 A" 1275 1227 7.53      
30 A" 1219 1173 0.00      
31 A" 1157 1113 11.42      
32 A" 1130 1087 9.88      
33 A" 942 906 0.17      
34 A" 894 860 3.84      
35 A" 659 634 1.23      
36 A" 49 47 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 28636.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 27548.6 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 B3LYP/6-31G
ABC
0.22562 0.22399 0.12707

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.484 -1.119 0.000
H2 0.473 -2.134 0.000
C3 -0.096 -0.467 1.185
C4 -0.096 -0.467 -1.185
C5 -0.096 1.029 0.782
C6 -0.096 1.029 -0.782
H7 -1.132 -0.797 1.399
H8 -1.132 -0.797 -1.399
H9 0.509 -0.668 2.075
H10 0.509 -0.668 -2.075
H11 0.803 1.525 1.161
H12 0.803 1.525 -1.161
H13 -0.963 1.554 1.197
H14 -0.963 1.554 -1.197

Atom - Atom Distances (Å)
  N1 H2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14
N11.01521.47141.47142.35882.35882.16152.16152.12322.12322.90512.90513.26633.2663
H21.01522.12302.12303.30823.30822.51442.51442.54052.54053.85303.85304.13464.1346
C31.47142.12302.36991.54992.47171.10832.80351.09463.32142.18573.20622.19913.2415
C41.47142.12302.36992.47171.54992.80351.10833.32141.09463.20622.18573.24152.1991
C52.35883.30821.54992.47171.56432.18863.02772.21793.37781.09432.19761.09472.2231
C62.35883.30822.47171.54991.56433.02772.18863.37782.21792.19761.09432.22311.0947
H72.16152.51441.10832.80352.18863.02772.79811.77953.84413.03203.96102.36553.5060
H82.16152.51442.80351.10833.02772.18862.79813.84411.77953.96103.03203.50602.3655
H92.12322.54051.09463.32142.21793.37781.77953.84414.14942.39413.91992.80634.2197
H102.12322.54053.32141.09463.37782.21793.84411.77954.14943.91992.39414.21972.8063
H112.90513.85302.18573.20621.09432.19763.03203.96102.39413.91992.32181.76672.9459
H122.90513.85303.20622.18572.19761.09433.96103.03203.91992.39412.32182.94591.7667
H133.26634.13462.19913.24151.09472.22312.36553.50602.80634.21971.76672.94592.3933
H143.26634.13463.24152.19912.22311.09473.50602.36554.21972.80632.94591.76672.3933

picture of Pyrrolidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C3 C5 102.621 N1 C3 H7 113.086
N1 C3 H9 110.816 N1 C4 C6 102.621
N1 C4 H8 113.086 N1 C4 H10 110.816
H2 N1 C3 116.030 H2 N1 C4 116.030
C3 N1 C4 107.276 C3 C5 C6 105.064
C3 C5 H11 110.316 C3 C5 H13 111.353
C4 C6 C5 105.064 C4 C6 H12 110.316
C4 C6 H14 111.353 C5 C3 H7 109.729
C5 C3 H9 112.875 C5 C6 H12 110.252
C5 C6 H14 112.250 C6 C4 H8 109.729
C6 C4 H10 112.875 C6 C5 H11 110.252
C6 C5 H13 112.250 H7 C3 H9 107.760
H8 C4 H10 107.760 H11 C5 H13 107.629
H12 C6 H14 107.629
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.576      
2 H 0.272      
3 C -0.101      
4 C -0.101      
5 C -0.252      
6 C -0.252      
7 H 0.104      
8 H 0.104      
9 H 0.135      
10 H 0.135      
11 H 0.141      
12 H 0.141      
13 H 0.125      
14 H 0.125      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.884 -0.266 0.000 0.923
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.303 0.632 0.000
y 0.632 -29.971 0.000
z 0.000 0.000 -31.321
Traceless
 xyz
x -3.657 0.632 0.000
y 0.632 2.842 0.000
z 0.000 0.000 0.816
Polar
3z2-r21.632
x2-y2-4.333
xy0.632
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.290 0.156 0.000
y 0.156 6.957 0.000
z 0.000 0.000 7.521


<r2> (average value of r2) Å2
<r2> 110.785
(<r2>)1/2 10.525