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: HF/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes NH equatorial 1A'
1 2 no NH axial 1A'

Conformer 1 (NH equatorial)

Jump to S1C2
Energy calculated at HF/6-31G
 hartrees
Energy at 0K-250.080552
Energy at 298.15K-250.095229
Nuclear repulsion energy259.272302
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/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' 3818 3447 0.52      
2 A' 3244 2929 120.29      
3 A' 3236 2922 18.54      
4 A' 3219 2907 78.35      
5 A' 3189 2879 11.34      
6 A' 3166 2858 32.92      
7 A' 3085 2786 158.18      
8 A' 1677 1514 3.59      
9 A' 1654 1494 4.44      
10 A' 1650 1490 6.24      
11 A' 1570 1418 3.53      
12 A' 1528 1380 0.74      
13 A' 1443 1303 1.17      
14 A' 1417 1279 3.87      
15 A' 1294 1168 4.75      
16 A' 1156 1044 10.81      
17 A' 1143 1032 1.09      
18 A' 970 875 7.15      
19 A' 949 857 6.28      
20 A' 872 788 1.55      
21 A' 727 657 86.74      
22 A' 575 519 68.16      
23 A' 463 418 25.12      
24 A' 408 368 4.31      
25 A' 249 225 2.55      
26 A" 3238 2923 38.11      
27 A" 3230 2917 78.31      
28 A" 3188 2879 52.72      
29 A" 3079 2780 24.76      
30 A" 1667 1505 2.07      
31 A" 1652 1492 3.37      
32 A" 1639 1480 4.75      
33 A" 1525 1377 2.64      
34 A" 1517 1370 3.65      
35 A" 1502 1356 28.25      
36 A" 1423 1285 1.73      
37 A" 1314 1186 5.13      
38 A" 1299 1173 7.18      
39 A" 1245 1124 22.16      
40 A" 1163 1050 1.29      
41 A" 1085 979 1.16      
42 A" 946 854 0.16      
43 A" 908 820 0.58      
44 A" 492 444 1.07      
45 A" 259 234 0.33      

Unscaled Zero Point Vibrational Energy (zpe) 37536.2 cm-1
Scaled (by 0.9029) Zero Point Vibrational Energy (zpe) 33891.5 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/6-31G
ABC
0.14961 0.14945 0.08431

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.638 1.322 0.000
H2 0.574 2.406 0.000
H3 1.697 1.071 0.000
C4 -0.019 0.751 1.264
C5 -0.019 0.751 -1.264
C6 -0.019 -0.778 -1.232
C7 -0.019 -0.778 1.232
N8 -0.645 -1.238 0.000
H9 -0.896 -2.202 0.000
H10 0.499 1.103 2.151
H11 0.499 1.103 -2.151
H12 -1.046 1.096 1.326
H13 -1.046 1.096 -1.326
H14 1.010 -1.138 -1.328
H15 1.010 -1.138 1.328
H16 -0.578 -1.171 -2.073
H17 -0.578 -1.171 2.073

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.08531.08851.53531.53532.52202.52202.86363.84362.16712.16712.15602.15602.82012.82013.46283.4628
H21.08531.74422.16522.16523.46473.46473.84214.83642.51632.51632.47012.47013.80903.80904.29144.2914
H31.08851.74422.15602.15602.80792.80793.28914.17602.46292.46293.04773.04772.66752.66753.80793.8079
C41.53532.16522.15602.52902.92771.52912.43863.32991.08583.47291.08522.80833.36882.15203.89152.1588
C51.53532.16522.15602.52901.52912.92772.43863.32993.47291.08582.80831.08522.15203.36882.15883.8915
C62.52203.46472.80792.92771.52912.46481.45672.07753.90582.15633.33342.13851.09482.78311.08293.3749
C72.52203.46472.80791.52912.92772.46481.45672.07752.15633.90582.13853.33342.78311.09483.37491.0829
N82.86363.84213.28912.43862.43861.45671.45670.99623.37883.37882.71422.71422.12432.12432.07482.0748
H93.84364.83644.17603.32993.32992.07752.07750.99624.18294.18293.55763.55762.55532.55532.33662.3366
H102.16712.51632.46291.08583.47293.90582.15633.37884.18294.30291.75183.80584.17002.44124.91672.5173
H112.16712.51632.46293.47291.08582.15633.90583.37884.18294.30293.80581.75182.44124.17002.51734.9167
H122.15602.47013.04771.08522.80833.33342.13852.71423.55761.75183.80582.65284.03283.03604.11252.4322
H132.15602.47013.04772.80831.08522.13853.33342.71423.55763.80581.75182.65283.03604.03282.43224.1125
H142.82013.80902.66753.36882.15201.09482.78312.12432.55534.17002.44124.03283.03602.65621.75413.7533
H152.82013.80902.66752.15203.36882.78311.09482.12432.55532.44124.17003.03604.03282.65623.75331.7541
H163.46284.29143.80793.89152.15881.08293.37492.07482.33664.91672.51734.11252.43221.75413.75334.1453
H173.46284.29143.80792.15883.89153.37491.08292.07482.33662.51734.91672.43224.11253.75331.75414.1453

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.768 C1 C4 H10 110.361
C1 C4 H12 109.525 C1 C5 C6 110.768
C1 C5 H11 110.361 C1 C5 H13 109.525
H2 C1 H3 106.713 H2 C1 C4 110.244
H2 C1 C5 110.244 H3 C1 C4 109.325
H3 C1 C5 109.325 C4 C1 C5 110.892
C4 C7 N8 109.494 C4 C7 H15 109.079
C4 C7 H17 110.306 C5 C6 N8 109.494
C5 C6 H14 109.079 C5 C6 H16 110.306
C6 C5 H11 109.940 C6 C5 H13 108.579
C6 N8 C7 115.566 C6 N8 H9 114.459
C7 C4 H10 109.940 C7 C4 H12 108.579
C7 N8 H9 114.459 N8 C6 H14 111.951
N8 C6 H16 108.679 N8 C7 H15 111.951
N8 C7 H17 108.679 H10 C4 H12 107.592
H11 C5 H13 107.592 H14 C6 H16 107.310
H15 C7 H17 107.310
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.314      
2 H 0.157      
3 H 0.145      
4 C -0.288      
5 C -0.288      
6 C -0.085      
7 C -0.085      
8 N -0.763      
9 H 0.323      
10 H 0.147      
11 H 0.147      
12 H 0.164      
13 H 0.164      
14 H 0.125      
15 H 0.125      
16 H 0.162      
17 H 0.162      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.705 -0.548 0.000 0.892
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.654 0.238 0.000
y 0.238 -36.852 0.000
z 0.000 0.000 -38.140
Traceless
 xyz
x -4.158 0.238 0.000
y 0.238 3.045 0.000
z 0.000 0.000 1.113
Polar
3z2-r22.225
x2-y2-4.802
xy0.238
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.456 0.321 0.000
y 0.321 8.179 0.000
z 0.000 0.000 8.664


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

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at HF/6-31G
 hartrees
Energy at 0K-250.078975
Energy at 298.15K-250.093611
Nuclear repulsion energy258.863311
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/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' 3802 3432 0.66      
2 A' 3249 2934 72.43      
3 A' 3225 2912 105.16      
4 A' 3219 2906 60.38      
5 A' 3186 2876 55.02      
6 A' 3169 2861 37.54      
7 A' 3166 2859 19.33      
8 A' 1664 1502 4.29      
9 A' 1652 1492 9.00      
10 A' 1649 1488 2.79      
11 A' 1545 1395 1.90      
12 A' 1519 1372 1.47      
13 A' 1468 1325 0.41      
14 A' 1405 1269 7.35      
15 A' 1309 1182 1.67      
16 A' 1147 1036 3.93      
17 A' 1104 997 9.31      
18 A' 969 875 5.06      
19 A' 941 850 16.07      
20 A' 869 785 3.74      
21 A' 663 599 176.81      
22 A' 608 549 25.49      
23 A' 473 427 5.00      
24 A' 398 359 16.06      
25 A' 249 225 8.88      
26 A" 3246 2931 50.61      
27 A" 3216 2904 91.39      
28 A" 3181 2872 9.73      
29 A" 3167 2859 31.85      
30 A" 1653 1493 5.13      
31 A" 1648 1488 2.46      
32 A" 1635 1476 11.09      
33 A" 1527 1379 1.22      
34 A" 1513 1366 1.04      
35 A" 1504 1358 1.84      
36 A" 1426 1287 0.44      
37 A" 1337 1207 16.90      
38 A" 1249 1128 4.07      
39 A" 1229 1110 21.32      
40 A" 1162 1049 2.27      
41 A" 1056 953 5.26      
42 A" 938 847 0.00      
43 A" 894 807 0.34      
44 A" 496 448 0.83      
45 A" 250 226 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 37486.6 cm-1
Scaled (by 0.9029) Zero Point Vibrational Energy (zpe) 33846.6 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 HF/6-31G
ABC
0.14871 0.14809 0.08425

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.643 1.319 0.000
H2 0.581 2.403 0.000
H3 1.702 1.067 0.000
C4 -0.012 0.747 1.267
C5 -0.012 0.747 -1.267
C6 -0.012 -0.789 -1.229
C7 -0.012 -0.789 1.229
N8 -0.591 -1.320 0.000
H9 -1.588 -1.348 0.000
H10 0.508 1.100 2.153
H11 0.508 1.100 -2.153
H12 -1.037 1.104 1.337
H13 -1.037 1.104 -1.337
H14 1.010 -1.151 -1.303
H15 1.010 -1.151 1.303
H16 -0.553 -1.198 -2.073
H17 -0.553 -1.198 2.073

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.08531.08851.53691.53692.52622.52622.91373.47742.16862.16862.15782.15782.81662.81663.47293.4729
H21.08531.74372.16772.16773.47083.47083.90304.33282.51772.51772.46812.46813.80923.80924.30634.3063
H31.08851.74372.15522.15522.80912.80913.31024.08142.46242.46243.04813.04812.66402.66403.80933.8093
C41.53692.16772.15522.53432.93041.53602.49282.91191.08613.47761.08812.82123.35402.15553.90252.1732
C51.53692.16772.15522.53431.53602.93042.49282.91193.47761.08612.82121.08812.15553.35402.17323.9025
C62.52623.47082.80912.93041.53602.45761.45872.07543.90832.16603.34892.15521.08632.75381.08293.3706
C72.52623.47082.80911.53602.93042.45761.45872.07542.16603.90832.15523.34892.75381.08633.37061.0829
N82.91373.90303.31022.49282.49281.45871.45870.99733.42073.42072.80402.80402.07062.07062.07692.0769
H93.47744.33284.08142.91192.91192.07542.07540.99733.87583.87582.84662.84662.91262.91262.32172.3217
H102.16862.51772.46241.08613.47763.90832.16603.42073.87584.30641.74753.81664.15482.45814.92582.5319
H112.16862.51772.46243.47761.08612.16603.90833.42073.87584.30643.81661.74752.45814.15482.53194.9258
H122.15782.46813.04811.08812.82123.34892.15522.80402.84661.74753.81662.67344.03003.04554.14192.4643
H132.15782.46813.04812.82121.08812.15523.34892.80402.84663.81661.74752.67343.04554.03002.46434.1419
H142.81663.80922.66403.35402.15551.08632.75382.07062.91264.15482.45814.03003.04552.60551.74283.7201
H152.81663.80922.66402.15553.35402.75381.08632.07062.91262.45814.15483.04554.03002.60553.72011.7428
H163.47294.30633.80933.90252.17321.08293.37062.07692.32174.92582.53194.14192.46431.74283.72014.1457
H173.47294.30633.80932.17323.90253.37061.08292.07692.32172.53194.92582.46434.14193.72011.74284.1457

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.594 C1 C4 H10 110.351
C1 C4 H12 109.389 C1 C5 C6 110.594
C1 C5 H11 110.351 C1 C5 H13 109.389
H2 C1 H3 106.670 H2 C1 C4 110.329
H2 C1 C5 110.329 H3 C1 C4 109.161
H3 C1 C5 109.161 C4 C1 C5 111.076
C4 C7 N8 112.667 C4 C7 H15 109.371
C4 C7 H17 110.973 C5 C6 N8 112.667
C5 C6 H14 109.371 C5 C6 H16 110.973
C6 C5 H11 110.212 C6 C5 H13 109.246
C6 N8 C7 114.781 C6 N8 H9 114.022
C7 C4 H10 110.212 C7 C4 H12 109.246
C7 N8 H9 114.022 N8 C6 H14 108.006
N8 C6 H16 108.696 N8 C7 H15 108.006
N8 C7 H17 108.696 H10 C4 H12 106.971
H11 C5 H13 106.971 H14 C6 H16 106.923
H15 C7 H17 106.923
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.306      
2 H 0.158      
3 H 0.149      
4 C -0.309      
5 C -0.309      
6 C -0.101      
7 C -0.101      
8 N -0.735      
9 H 0.316      
10 H 0.152      
11 H 0.152      
12 H 0.143      
13 H 0.143      
14 H 0.160      
15 H 0.160      
16 H 0.164      
17 H 0.164      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.428 1.165 0.000 1.241
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.238 0.355 0.000
y 0.355 -44.291 0.000
z 0.000 0.000 -38.057
Traceless
 xyz
x 3.937 0.355 0.000
y 0.355 -6.644 0.000
z 0.000 0.000 2.707
Polar
3z2-r25.414
x2-y27.053
xy0.355
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.759 0.263 0.000
y 0.263 7.730 0.000
z 0.000 0.000 8.646


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