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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: HSEh1PBE/cc-pVTZ

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 HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-251.707244
Energy at 298.15K-251.721622
HF Energy-251.707244
Nuclear repulsion energy260.354880
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 HSEh1PBE/cc-pVTZ
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' 3568 3429 0.16      
2 A' 3093 2973 67.52      
3 A' 3082 2962 11.08      
4 A' 3078 2958 56.96      
5 A' 3042 2924 19.35      
6 A' 3024 2906 25.58      
7 A' 2911 2798 150.33      
8 A' 1500 1442 2.81      
9 A' 1486 1428 8.49      
10 A' 1477 1419 9.10      
11 A' 1423 1368 1.34      
12 A' 1381 1328 0.58      
13 A' 1318 1267 1.17      
14 A' 1289 1239 2.94      
15 A' 1169 1124 4.95      
16 A' 1071 1029 4.61      
17 A' 1062 1021 7.70      
18 A' 921 885 2.28      
19 A' 873 839 13.37      
20 A' 839 806 0.26      
21 A' 767 737 78.25      
22 A' 540 519 20.80      
23 A' 434 418 6.44      
24 A' 394 378 1.37      
25 A' 244 235 1.14      
26 A" 3089 2969 23.14      
27 A" 3078 2959 74.90      
28 A" 3043 2925 22.74      
29 A" 2906 2793 31.21      
30 A" 1495 1437 2.13      
31 A" 1484 1427 1.66      
32 A" 1467 1410 5.07      
33 A" 1380 1326 0.35      
34 A" 1363 1310 11.70      
35 A" 1348 1295 17.49      
36 A" 1297 1246 2.40      
37 A" 1196 1150 11.88      
38 A" 1169 1123 4.37      
39 A" 1156 1111 8.13      
40 A" 1077 1035 2.51      
41 A" 979 941 0.73      
42 A" 897 862 0.50      
43 A" 820 788 0.40      
44 A" 451 434 0.76      
45 A" 245 235 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 34961.8 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 33601.7 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 HSEh1PBE/cc-pVTZ
ABC
0.15274 0.14973 0.08567

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.630 1.322 0.000
H2 0.565 2.413 0.000
H3 1.698 1.073 0.000
C4 -0.015 0.745 1.254
C5 -0.015 0.745 -1.254
C6 -0.015 -0.774 -1.204
C7 -0.015 -0.774 1.204
N8 -0.689 -1.225 0.000
H9 -0.772 -2.231 0.000
H10 0.509 1.088 2.150
H11 0.509 1.088 -2.150
H12 -1.050 1.091 1.328
H13 -1.050 1.091 -1.328
H14 1.031 -1.129 -1.255
H15 1.031 -1.129 1.255
H16 -0.537 -1.183 -2.072
H17 -0.537 -1.183 2.072

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09271.09641.52401.52402.50212.50212.86803.81992.16612.16612.15452.15452.78292.78293.45433.4543
H21.09271.75482.16572.16573.45583.45583.84724.83252.52622.52622.47362.47363.78653.78654.29384.2938
H31.09641.75482.14842.14842.79242.79243.31324.12552.45682.45683.05263.05262.62112.62113.79233.7923
C41.52402.16572.14842.50862.89021.52002.43043.31741.09303.46141.09412.80373.30242.14643.88022.1585
C51.52402.16572.14842.50861.52002.89022.43043.31743.46141.09302.80371.09412.14643.30242.15853.8802
C62.50213.45582.79242.89021.52002.40901.45192.03643.87212.15283.31142.13691.10602.69671.09233.3432
C72.50213.45582.79241.52002.89022.40901.45192.03642.15283.87212.13693.31142.69671.10603.34321.0923
N82.86803.84723.31322.43042.43041.45191.45191.01013.37703.37702.69392.69392.13182.13182.07812.0781
H93.81994.83254.12553.31743.31742.03642.03641.01014.15684.15683.58893.58892.45812.45812.33412.3341
H102.16612.52622.45681.09303.46143.87212.15283.37704.15684.30001.76303.81184.09672.44664.90692.5014
H112.16612.52622.45683.46141.09302.15283.87213.37704.15684.30003.81181.76302.44664.09672.50144.9069
H122.15452.47363.05261.09412.80373.31142.13692.69393.58891.76303.81182.65623.99223.04434.12272.4470
H132.15452.47363.05262.80371.09412.13693.31142.69393.58893.81181.76302.65623.04433.99222.44704.1227
H142.78293.78652.62113.30242.14641.10602.69672.13182.45814.09672.44663.99223.04432.51101.76943.6793
H152.78293.78652.62112.14643.30242.69671.10602.13182.45812.44664.09673.04433.99222.51103.67931.7694
H163.45434.29383.79233.88022.15851.09233.34322.07812.33414.90692.50144.12272.44701.76943.67934.1444
H173.45434.29383.79232.15853.88023.34321.09232.07812.33412.50144.90692.44704.12273.67931.76944.1444

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.569 C1 C4 H10 110.654
C1 C4 H12 109.665 C1 C5 C6 110.569
C1 C5 H11 110.654 C1 C5 H13 109.665
H2 C1 H3 106.563 H2 C1 C4 110.633
H2 C1 C5 110.633 H3 C1 C4 109.057
H3 C1 C5 109.057 C4 C1 C5 110.782
C4 C7 N8 109.713 C4 C7 H15 108.619
C4 C7 H17 110.366 C5 C6 N8 109.713
C5 C6 H14 108.619 C5 C6 H16 110.366
C6 C5 H11 109.877 C6 C5 H13 108.565
C6 N8 C7 112.118 C6 N8 H9 110.325
C7 C4 H10 109.877 C7 C4 H12 108.565
C7 N8 H9 110.325 N8 C6 H14 112.195
N8 C6 H16 108.716 N8 C7 H15 112.195
N8 C7 H17 108.716 H10 C4 H12 107.434
H11 C5 H13 107.434 H14 C6 H16 107.203
H15 C7 H17 107.203
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.172      
2 H 0.092      
3 H 0.081      
4 C -0.162      
5 C -0.162      
6 C -0.093      
7 C -0.093      
8 N -0.208      
9 H 0.105      
10 H 0.087      
11 H 0.087      
12 H 0.081      
13 H 0.081      
14 H 0.055      
15 H 0.055      
16 H 0.084      
17 H 0.084      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.619 -0.474 0.000 0.780
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.199 0.008 0.000
y 0.008 -36.656 0.000
z 0.000 0.000 -38.162
Traceless
 xyz
x -3.790 0.008 0.000
y 0.008 3.025 0.000
z 0.000 0.000 0.765
Polar
3z2-r21.530
x2-y2-4.543
xy0.008
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.901 0.284 0.000
y 0.284 9.930 0.000
z 0.000 0.000 10.370


<r2> (average value of r2) Å2
<r2> 156.776
(<r2>)1/2 12.521

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-251.706040
Energy at 298.15K-251.720343
HF Energy-251.706040
Nuclear repulsion energy259.881347
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 HSEh1PBE/cc-pVTZ
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' 3531 3394 0.42      
2 A' 3084 2964 63.13      
3 A' 3078 2959 40.48      
4 A' 3073 2953 48.46      
5 A' 3026 2908 58.37      
6 A' 3020 2902 39.31      
7 A' 3017 2899 3.22      
8 A' 1494 1436 3.36      
9 A' 1478 1421 12.62      
10 A' 1477 1419 3.13      
11 A' 1397 1342 2.36      
12 A' 1378 1325 2.72      
13 A' 1341 1289 0.26      
14 A' 1282 1232 6.94      
15 A' 1191 1145 2.35      
16 A' 1058 1017 1.55      
17 A' 1025 985 8.23      
18 A' 926 890 2.59      
19 A' 866 833 36.40      
20 A' 831 799 0.18      
21 A' 753 724 102.82      
22 A' 543 522 2.69      
23 A' 436 419 1.10      
24 A' 378 363 5.94      
25 A' 233 224 5.25      
26 A" 3082 2962 37.29      
27 A" 3071 2952 74.06      
28 A" 3022 2905 2.31      
29 A" 3013 2896 38.29      
30 A" 1496 1437 8.64      
31 A" 1474 1417 4.60      
32 A" 1465 1408 4.39      
33 A" 1381 1328 0.72      
34 A" 1367 1314 1.23      
35 A" 1348 1296 1.69      
36 A" 1301 1250 0.56      
37 A" 1225 1177 16.89      
38 A" 1147 1103 16.20      
39 A" 1122 1078 0.57      
40 A" 1075 1033 3.07      
41 A" 948 912 3.91      
42 A" 889 855 0.30      
43 A" 806 775 0.14      
44 A" 456 438 0.77      
45 A" 230 221 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 34917.2 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 33558.9 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 HSEh1PBE/cc-pVTZ
ABC
0.15156 0.14825 0.08539

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.639 1.316 0.000
H2 0.575 2.407 0.000
H3 1.705 1.064 0.000
C4 -0.009 0.741 1.255
C5 -0.009 0.741 -1.255
C6 -0.009 -0.785 -1.207
C7 -0.009 -0.785 1.207
N8 -0.601 -1.339 0.000
H9 -1.598 -1.165 0.000
H10 0.511 1.092 2.151
H11 0.511 1.092 -2.151
H12 -1.043 1.097 1.327
H13 -1.043 1.097 -1.327
H14 1.024 -1.144 -1.265
H15 1.024 -1.144 1.265
H16 -0.534 -1.198 -2.071
H17 -0.534 -1.198 2.071

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09251.09571.52531.52532.50842.50842.93053.34112.16692.16692.15442.15442.79332.79333.46243.4624
H21.09251.75552.16572.16573.46193.46193.92604.18102.52242.52242.46922.46923.79643.79644.30294.3029
H31.09571.75552.14952.14952.79572.79573.33063.98532.46102.46103.05283.05282.63452.63453.79773.7977
C41.52532.16572.14952.51022.89681.52692.50062.78111.09393.46371.09582.80443.31272.15053.88602.1686
C51.52532.16572.14952.51021.52692.89682.50062.78113.46371.09392.80441.09582.15053.31272.16863.8860
C62.50843.46192.79572.89681.52692.41421.45392.03103.88212.16403.32152.15021.09602.70321.09223.3457
C72.50843.46192.79571.52692.89682.41421.45392.03102.16403.88212.15023.32152.70321.09603.34571.0922
N82.93053.92603.33062.50062.50061.45391.45391.01223.43103.43102.80912.80912.06822.06822.07712.0771
H93.34114.18103.98532.78112.78112.03102.03101.01223.76413.76412.68072.68072.91122.91122.32872.3287
H102.16692.52242.46101.09393.46373.88212.16403.43103.76414.30281.75913.81024.11492.45964.91582.5180
H112.16692.52242.46103.46371.09392.16403.88213.43103.76414.30283.81021.75912.45964.11492.51804.9158
H122.15442.46923.05281.09582.80443.32152.15022.80912.68071.75913.81022.65484.00213.04994.13232.4655
H132.15442.46923.05282.80441.09582.15023.32152.80912.68073.81021.75912.65483.04994.00212.46554.1323
H142.79333.79642.63453.31272.15051.09602.70322.06822.91124.11492.45964.00213.04992.52931.75553.6823
H152.79333.79642.63452.15053.31272.70321.09602.06822.91122.45964.11493.04994.00212.52933.68231.7555
H163.46244.30293.79773.88602.16861.09223.34572.07712.32874.91582.51804.13232.46551.75553.68234.1425
H173.46244.30293.79772.16863.88603.34571.09222.07712.32872.51804.91582.46554.13233.68231.75554.1425

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.539 C1 C4 H10 110.573
C1 C4 H12 109.474 C1 C5 C6 110.539
C1 C5 H11 110.573 C1 C5 H13 109.474
H2 C1 H3 106.693 H2 C1 C4 110.559
H2 C1 C5 110.559 H3 C1 C4 109.088
H3 C1 C5 109.088 C4 C1 C5 110.747
C4 C7 N8 114.028 C4 C7 H15 109.048
C4 C7 H17 110.693 C5 C6 N8 114.028
C5 C6 H14 109.048 C5 C6 H16 110.693
C6 C5 H11 110.226 C6 C5 H13 109.035
C6 N8 C7 112.243 C6 N8 H9 109.585
C7 C4 H10 110.226 C7 C4 H12 109.035
C7 N8 H9 109.585 N8 C6 H14 107.579
N8 C6 H16 108.498 N8 C7 H15 107.579
N8 C7 H17 108.498 H10 C4 H12 106.910
H11 C5 H13 106.910 H14 C6 H16 106.696
H15 C7 H17 106.696
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.169      
2 H 0.094      
3 H 0.086      
4 C -0.179      
5 C -0.179      
6 C -0.104      
7 C -0.104      
8 N -0.198      
9 H 0.087      
10 H 0.086      
11 H 0.086      
12 H 0.077      
13 H 0.077      
14 H 0.078      
15 H 0.078      
16 H 0.091      
17 H 0.091      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.280 1.049 0.000 1.086
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.072 -0.203 0.000
y -0.203 -43.330 0.000
z 0.000 0.000 -38.143
Traceless
 xyz
x 3.665 -0.203 0.000
y -0.203 -5.723 0.000
z 0.000 0.000 2.058
Polar
3z2-r24.116
x2-y26.259
xy-0.203
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.981 0.300 0.000
y 0.300 9.618 0.000
z 0.000 0.000 10.382


<r2> (average value of r2) Å2
<r2> 157.216
(<r2>)1/2 12.539