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 C5H11N (Piperidine)

using model chemistry: B3LYP/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes NH equatorial 1A'
Energy calculated at B3LYP/6-311+G(3df,2p)
 hartrees
Energy at 0K-251.994170
Energy at 298.15K-252.008504
Nuclear repulsion energy259.035694
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/6-311+G(3df,2p)
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' 3533 3417 0.25      
2 A' 3060 2959 81.55      
3 A' 3052 2952 4.22      
4 A' 3046 2945 64.92      
5 A' 3015 2916 15.87      
6 A' 2997 2898 25.55      
7 A' 2890 2795 154.86      
8 A' 1510 1460 2.38      
9 A' 1495 1446 7.45      
10 A' 1489 1440 6.86      
11 A' 1418 1371 2.48      
12 A' 1379 1334 0.18      
13 A' 1312 1269 1.08      
14 A' 1287 1244 3.03      
15 A' 1168 1129 4.09      
16 A' 1062 1027 9.09      
17 A' 1048 1013 1.91      
18 A' 903 873 2.92      
19 A' 868 840 9.38      
20 A' 817 790 0.25      
21 A' 750 725 78.86      
22 A' 545 527 23.86      
23 A' 435 420 7.50      
24 A' 392 379 1.22      
25 A' 243 235 1.42      
26 A" 3054 2954 9.81      
27 A" 3051 2950 92.69      
28 A" 3016 2916 26.41      
29 A" 2885 2790 33.02      
30 A" 1498 1449 0.00      
31 A" 1486 1437 0.93      
32 A" 1478 1429 6.42      
33 A" 1374 1329 1.05      
34 A" 1364 1319 3.74      
35 A" 1346 1302 23.36      
36 A" 1294 1251 1.92      
37 A" 1184 1145 6.60      
38 A" 1169 1131 2.42      
39 A" 1128 1091 19.52      
40 A" 1062 1027 1.77      
41 A" 980 948 0.88      
42 A" 877 848 0.24      
43 A" 820 793 0.74      
44 A" 453 438 0.78      
45 A" 244 236 0.31      

Unscaled Zero Point Vibrational Energy (zpe) 34738.4 cm-1
Scaled (by 0.967) Zero Point Vibrational Energy (zpe) 33592.0 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 B3LYP/6-311+G(3df,2p)
ABC
0.15082 0.14823 0.08452

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311+G(3df,2p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.630 1.332 0.000
H2 0.555 2.421 0.000
H3 1.699 1.093 0.000
C4 -0.015 0.750 1.263
C5 -0.015 0.750 -1.263
C6 -0.015 -0.778 -1.216
C7 -0.015 -0.778 1.216
N8 -0.684 -1.236 0.000
H9 -0.771 -2.244 0.000
H10 0.514 1.091 2.156
H11 0.514 1.091 -2.156
H12 -1.049 1.098 1.342
H13 -1.049 1.098 -1.342
H14 1.028 -1.135 -1.275
H15 1.028 -1.135 1.275
H16 -0.546 -1.186 -2.078
H17 -0.546 -1.186 2.078

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09221.09551.53291.53292.51912.51912.88433.84052.17212.17212.16182.16182.80542.80543.46983.4698
H21.09221.75332.17142.17143.47003.47003.86174.85042.53332.53332.47492.47493.80783.80784.30634.3063
H31.09551.75332.15652.15652.81352.81353.33154.15152.45992.45993.05773.05772.65292.65293.81423.8142
C41.53292.17142.15652.52582.91191.52842.44653.33601.09253.47611.09322.82433.32902.15463.89772.1663
C51.53292.17142.15652.52581.52842.91192.44653.33603.47611.09252.82431.09322.15463.32902.16633.8977
C62.51913.47002.81352.91191.52842.43211.46132.04933.89142.15813.33662.14541.10462.72421.09143.3617
C72.51913.47002.81351.52842.91192.43211.46132.04932.15813.89142.14543.33662.72421.10463.36171.0914
N82.88433.86173.33152.44652.44651.46131.46131.01163.39093.39092.71732.71732.13682.13682.08362.0836
H93.84054.85044.15153.33603.33602.04932.04931.01164.17414.17413.61223.61222.46852.46852.34322.3432
H102.17212.53332.45991.09253.47613.89142.15813.39094.17414.31131.76113.83114.12202.44924.92292.5128
H112.17212.53332.45993.47611.09252.15813.89143.39094.17414.31133.83111.76112.44924.12202.51284.9229
H122.16182.47493.05771.09322.82433.33662.14542.71733.61221.76113.83112.68504.01883.05044.14392.4518
H132.16182.47493.05772.82431.09322.14543.33662.71733.61223.83111.76112.68503.05044.01882.45184.1439
H142.80543.80782.65293.32902.15461.10462.72422.13682.46854.12202.44924.01883.05042.54961.76783.7045
H152.80543.80782.65292.15463.32902.72421.10462.13682.46852.44924.12203.05044.01882.54963.70451.7678
H163.46984.30633.81423.89772.16631.09143.36172.08362.34324.92292.51284.14392.45181.76783.70454.1569
H173.46984.30633.81422.16633.89773.36171.09142.08362.34322.51284.92292.45184.14393.70451.76784.1569

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.751 C1 C4 H10 110.532
C1 C4 H12 109.673 C1 C5 C6 110.751
C1 C5 H11 110.532 C1 C5 H13 109.673
H2 C1 H3 106.531 H2 C1 C4 110.492
H2 C1 C5 110.492 H3 C1 C4 109.129
H3 C1 C5 109.129 C4 C1 C5 110.948
C4 C7 N8 109.811 C4 C7 H15 108.762
C4 C7 H17 110.450 C5 C6 N8 109.811
C5 C6 H14 108.762 C5 C6 H16 110.450
C6 C5 H11 109.735 C6 C5 H13 108.704
C6 N8 C7 112.650 C6 N8 H9 110.615
C7 C4 H10 109.735 C7 C4 H12 108.704
C7 N8 H9 110.615 N8 C6 H14 112.017
N8 C6 H16 108.555 N8 C7 H15 112.017
N8 C7 H17 108.555 H10 C4 H12 107.365
H11 C5 H13 107.365 H14 C6 H16 107.217
H15 C7 H17 107.217
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.239      
2 H 0.129      
3 H 0.161      
4 C -0.137      
5 C -0.137      
6 C -0.120      
7 C -0.120      
8 N -0.837      
9 H 0.200      
10 H 0.128      
11 H 0.128      
12 H 0.155      
13 H 0.155      
14 H 0.140      
15 H 0.140      
16 H 0.127      
17 H 0.127      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.723 -0.410 0.000 0.831
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.030 -0.149 0.000
y -0.149 -37.171 0.000
z 0.000 0.000 -38.626
Traceless
 xyz
x -4.131 -0.149 0.000
y -0.149 3.157 0.000
z 0.000 0.000 0.974
Polar
3z2-r21.948
x2-y2-4.859
xy-0.149
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.528 0.334 0.000
y 0.334 10.343 0.000
z 0.000 0.000 10.799


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000