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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: PBEPBE/6-311G*

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 PBEPBE/6-311G*
 hartrees
Energy at 0K-251.607610
Energy at 298.15K-251.621809
Nuclear repulsion energy258.143151
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 PBEPBE/6-311G*
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' 3425 3390 2.94      
2 A' 3012 2980 86.55      
3 A' 2999 2968 9.93      
4 A' 2995 2964 69.69      
5 A' 2962 2931 19.07      
6 A' 2943 2913 31.26      
7 A' 2813 2784 185.48      
8 A' 1465 1450 3.01      
9 A' 1452 1437 9.03      
10 A' 1445 1430 11.53      
11 A' 1381 1367 0.97      
12 A' 1338 1324 0.39      
13 A' 1284 1270 0.50      
14 A' 1259 1246 2.67      
15 A' 1130 1119 5.29      
16 A' 1044 1033 6.89      
17 A' 1028 1017 6.68      
18 A' 897 888 1.43      
19 A' 848 839 15.83      
20 A' 813 805 1.06      
21 A' 753 745 87.99      
22 A' 529 524 19.61      
23 A' 424 420 7.50      
24 A' 389 385 1.19      
25 A' 244 241 1.30      
26 A" 3007 2975 22.67      
27 A" 2996 2965 90.47      
28 A" 2963 2932 28.02      
29 A" 2805 2776 37.21      
30 A" 1457 1442 0.73      
31 A" 1449 1434 1.08      
32 A" 1433 1418 5.21      
33 A" 1339 1325 0.00      
34 A" 1321 1307 10.14      
35 A" 1306 1292 18.58      
36 A" 1265 1252 3.01      
37 A" 1157 1145 6.75      
38 A" 1139 1127 4.92      
39 A" 1111 1099 14.86      
40 A" 1045 1034 3.08      
41 A" 955 945 0.81      
42 A" 869 860 0.54      
43 A" 796 787 0.46      
44 A" 439 435 0.86      
45 A" 242 239 0.44      

Unscaled Zero Point Vibrational Energy (zpe) 33980.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 33627.4 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 PBEPBE/6-311G*
ABC
0.15029 0.14717 0.08434

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.634 1.334 0.000
H2 0.567 2.435 0.000
H3 1.713 1.087 0.000
C4 -0.013 0.750 1.265
C5 -0.013 0.750 -1.265
C6 -0.013 -0.781 -1.212
C7 -0.013 -0.781 1.212
N8 -0.706 -1.230 0.000
H9 -0.767 -2.251 0.000
H10 0.516 1.095 2.169
H11 0.516 1.095 -2.169
H12 -1.058 1.097 1.343
H13 -1.058 1.097 -1.343
H14 1.044 -1.141 -1.257
H15 1.044 -1.141 1.257
H16 -0.536 -1.196 -2.089
H17 -0.536 -1.196 2.089

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.10311.10671.53611.53612.52202.52202.89323.84922.18562.18562.17392.17392.80582.80583.48363.4836
H21.10311.76932.18492.18493.48513.48513.87964.87212.55002.55002.49662.49663.82033.82034.33184.3318
H31.10671.76932.16662.16662.81782.81783.35034.15922.47782.47783.08003.08002.64452.64453.82623.8262
C41.53612.18492.16662.52972.91181.53212.44993.34311.10343.49181.10412.83133.32482.16673.91302.1774
C51.53612.18492.16662.52971.53212.91182.44993.34313.49181.10342.83131.10412.16673.32482.17743.9130
C62.52203.48512.81782.91181.53212.42381.46652.04913.90302.17203.33932.15371.11792.70981.10263.3680
C72.52203.48512.81781.53212.91182.42381.46652.04912.17203.90302.15373.33932.70981.11793.36801.1026
N82.89323.87963.35032.44992.44991.46651.46651.02283.40713.40712.71062.71062.15672.15672.09642.0964
H93.84924.87214.15923.34313.34312.04912.04911.02284.18964.18963.61993.61992.46852.46852.35192.3519
H102.18562.55002.47781.10343.49183.90302.17203.40714.18964.33871.77793.84954.12552.47244.94912.5228
H112.18562.55002.47783.49181.10342.17203.90303.40714.18964.33873.84951.77792.47244.12552.52284.9491
H122.17392.49663.08001.10412.83133.33932.15372.71063.61991.77793.84952.68694.02413.07234.16132.4676
H132.17392.49663.08002.83131.10412.15373.33932.71063.61993.84951.77792.68693.07234.02412.46764.1613
H142.80583.82032.64453.32482.16671.11792.70982.15672.46854.12552.47244.02413.07232.51391.78713.7011
H152.80583.82032.64452.16673.32482.70981.11792.15672.46852.47244.12553.07234.02412.51393.70111.7871
H163.48364.33183.82623.91302.17741.10263.36802.09642.35194.94912.52284.16132.46761.78713.70114.1785
H173.48364.33183.82622.17743.91303.36801.10262.09642.35192.52284.94912.46764.16133.70111.78714.1785

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.564 C1 C4 H10 110.727
C1 C4 H12 109.761 C1 C5 C6 110.564
C1 C5 H11 110.727 C1 C5 H13 109.761
H2 C1 H3 106.389 H2 C1 C4 110.689
H2 C1 C5 110.689 H3 C1 C4 109.047
H3 C1 C5 109.047 C4 C1 C5 110.853
C4 C7 N8 109.554 C4 C7 H15 108.690
C4 C7 H17 110.411 C5 C6 N8 109.554
C5 C6 H14 108.690 C5 C6 H16 110.411
C6 C5 H11 109.939 C6 C5 H13 108.473
C6 N8 C7 111.461 C6 N8 H9 109.509
C7 C4 H10 109.939 C7 C4 H12 108.473
C7 N8 H9 109.509 N8 C6 H14 112.431
N8 C6 H16 108.548 N8 C7 H15 112.431
N8 C7 H17 108.548 H10 C4 H12 107.294
H11 C5 H13 107.294 H14 C6 H16 107.183
H15 C7 H17 107.183
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.433      
2 H 0.214      
3 H 0.202      
4 C -0.401      
5 C -0.401      
6 C -0.306      
7 C -0.306      
8 N -0.483      
9 H 0.300      
10 H 0.207      
11 H 0.207      
12 H 0.212      
13 H 0.212      
14 H 0.178      
15 H 0.178      
16 H 0.209      
17 H 0.209      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.648 -0.558 0.000 0.855
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.858 0.039 0.000
y 0.039 -36.880 0.000
z 0.000 0.000 -38.561
Traceless
 xyz
x -4.137 0.039 0.000
y 0.039 3.329 0.000
z 0.000 0.000 0.808
Polar
3z2-r21.616
x2-y2-4.978
xy0.039
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.824 0.269 0.000
y 0.269 9.804 0.000
z 0.000 0.000 10.279


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

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-251.606700
Energy at 298.15K-251.620814
Nuclear repulsion energy257.469949
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 PBEPBE/6-311G*
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' 3384 3349 6.17      
2 A' 3002 2971 76.08      
3 A' 2995 2964 51.94      
4 A' 2987 2956 63.76      
5 A' 2944 2913 64.45      
6 A' 2941 2910 38.14      
7 A' 2937 2906 8.76      
8 A' 1461 1446 4.73      
9 A' 1446 1431 12.98      
10 A' 1442 1427 5.38      
11 A' 1354 1339 1.88      
12 A' 1342 1328 1.39      
13 A' 1305 1292 0.03      
14 A' 1250 1237 8.15      
15 A' 1156 1144 3.80      
16 A' 1024 1013 0.79      
17 A' 988 978 6.23      
18 A' 904 895 12.22      
19 A' 838 829 40.05      
20 A' 803 795 0.50      
21 A' 746 738 106.93      
22 A' 529 524 2.59      
23 A' 424 420 1.12      
24 A' 376 372 6.12      
25 A' 232 230 5.22      
26 A" 3000 2969 44.91      
27 A" 2985 2954 85.21      
28 A" 2941 2910 0.09      
29 A" 2933 2903 48.74      
30 A" 1463 1447 5.91      
31 A" 1438 1424 8.64      
32 A" 1431 1416 2.04      
33 A" 1339 1325 0.92      
34 A" 1327 1313 1.97      
35 A" 1309 1295 1.51      
36 A" 1270 1257 0.54      
37 A" 1183 1171 12.68      
38 A" 1099 1087 7.89      
39 A" 1092 1080 11.59      
40 A" 1043 1033 4.10      
41 A" 922 913 4.65      
42 A" 857 848 0.43      
43 A" 780 772 0.05      
44 A" 441 436 0.83      
45 A" 225 223 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 33943.6 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 33590.6 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 PBEPBE/6-311G*
ABC
0.14905 0.14525 0.08379

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.639 1.331 0.000
H2 0.575 2.432 0.000
H3 1.718 1.083 0.000
C4 -0.008 0.748 1.266
C5 -0.008 0.748 -1.266
C6 -0.008 -0.791 -1.216
C7 -0.008 -0.791 1.216
N8 -0.607 -1.360 0.000
H9 -1.611 -1.147 0.000
H10 0.516 1.102 2.171
H11 0.516 1.102 -2.171
H12 -1.052 1.107 1.347
H13 -1.052 1.107 -1.347
H14 1.035 -1.156 -1.269
H15 1.035 -1.156 1.269
H16 -0.531 -1.214 -2.089
H17 -0.531 -1.214 2.089

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.10311.10681.53661.53662.52922.52922.96513.34692.18692.18692.17362.17362.81972.81973.49453.4945
H21.10311.76782.18592.18593.49323.49323.97174.19372.54692.54692.49332.49333.83343.83344.34544.3454
H31.10681.76782.16682.16682.82302.82303.37274.00702.48222.48223.08033.08032.66292.66293.83433.8343
C41.53662.18592.16682.53162.91971.53952.53052.78591.10473.49491.10692.83603.33732.17133.92182.1913
C51.53662.18592.16682.53161.53952.91972.53052.78593.49491.10472.83601.10692.17133.33732.19133.9218
C62.52923.49322.82302.91971.53952.43131.46982.04293.91532.18423.35502.16991.10672.71911.10273.3727
C72.52923.49322.82301.53952.91972.43131.46982.04292.18423.91532.16993.35502.71911.10673.37271.1027
N82.96513.97173.37272.53052.53051.46981.46981.02613.46953.46952.84542.84542.08512.08512.09572.0957
H93.34694.19374.00702.78592.78592.04292.04291.02613.78103.78102.68442.68442.93442.93442.35292.3529
H102.18692.54692.48221.10473.49493.91532.18423.46953.78104.34291.77173.85164.14782.48704.96142.5432
H112.18692.54692.48223.49491.10472.18423.91533.46953.78104.34293.85161.77172.48704.14782.54324.9614
H122.17362.49333.08031.10692.83603.35502.16992.84542.68441.77173.85162.69324.03963.07984.17922.4923
H132.17362.49333.08032.83601.10692.16993.35502.84542.68443.85161.77172.69323.07984.03962.49234.1792
H142.81973.83342.66293.33732.17131.10672.71912.08512.93444.14782.48704.03963.07982.53721.76903.7056
H152.81973.83342.66292.17133.33732.71911.10672.08512.93442.48704.14783.07984.03962.53723.70561.7690
H163.49454.34543.83433.92182.19131.10273.37272.09572.35294.96142.54324.17922.49231.76903.70564.1786
H173.49454.34543.83432.19133.92183.37271.10272.09572.35292.54324.96142.49234.17923.70561.76904.1786

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.617 C1 C4 H10 110.726
C1 C4 H12 109.551 C1 C5 C6 110.617
C1 C5 H11 110.726 C1 C5 H13 109.551
H2 C1 H3 106.252 H2 C1 C4 110.734
H2 C1 C5 110.734 H3 C1 C4 109.028
H3 C1 C5 109.028 C4 C1 C5 110.927
C4 C7 N8 114.450 C4 C7 H15 109.190
C4 C7 H17 110.984 C5 C6 N8 114.450
C5 C6 H14 109.190 C5 C6 H16 110.984
C6 C5 H11 110.310 C6 C5 H13 109.065
C6 N8 C7 111.594 C6 N8 H9 108.561
C7 C4 H10 110.310 C7 C4 H12 109.065
C7 N8 H9 108.561 N8 C6 H14 107.205
N8 C6 H16 108.258 N8 C7 H15 107.205
N8 C7 H17 108.258 H10 C4 H12 106.471
H11 C5 H13 106.471 H14 C6 H16 106.384
H15 C7 H17 106.384
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.425      
2 H 0.215      
3 H 0.206      
4 C -0.413      
5 C -0.413      
6 C -0.339      
7 C -0.339      
8 N -0.442      
9 H 0.284      
10 H 0.208      
11 H 0.208      
12 H 0.197      
13 H 0.197      
14 H 0.213      
15 H 0.213      
16 H 0.215      
17 H 0.215      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.303 1.099 0.000 1.140
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.451 -0.215 0.000
y -0.215 -44.114 0.000
z 0.000 0.000 -38.563
Traceless
 xyz
x 3.888 -0.215 0.000
y -0.215 -6.107 0.000
z 0.000 0.000 2.219
Polar
3z2-r24.439
x2-y26.663
xy-0.215
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.959 0.279 0.000
y 0.279 9.407 0.000
z 0.000 0.000 10.314


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