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: MP2/6-31G(2df,p)

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 MP2/6-31G(2df,p)
 hartrees
Energy at 0K-251.230295
Energy at 298.15K-251.244737
Nuclear repulsion energy260.059707
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 MP2/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3575 3377 0.75      
2 A' 3169 2993 42.10      
3 A' 3149 2974 22.79      
4 A' 3141 2967 19.74      
5 A' 3104 2931 11.39      
6 A' 3089 2918 21.08      
7 A' 2996 2830 97.16      
8 A' 1536 1451 3.42      
9 A' 1516 1432 4.82      
10 A' 1506 1423 6.89      
11 A' 1442 1362 3.22      
12 A' 1395 1317 0.13      
13 A' 1334 1260 0.46      
14 A' 1304 1232 3.16      
15 A' 1185 1119 4.88      
16 A' 1086 1026 4.63      
17 A' 1071 1011 8.63      
18 A' 938 886 1.73      
19 A' 889 840 16.28      
20 A' 851 804 0.97      
21 A' 800 756 70.74      
22 A' 546 516 17.49      
23 A' 430 406 5.84      
24 A' 414 391 1.34      
25 A' 253 239 1.22      
26 A" 3164 2989 10.32      
27 A" 3141 2966 50.56      
28 A" 3104 2932 21.91      
29 A" 2996 2829 22.43      
30 A" 1523 1438 0.13      
31 A" 1499 1416 0.14      
32 A" 1488 1406 4.23      
33 A" 1397 1319 0.00      
34 A" 1375 1299 17.97      
35 A" 1361 1285 12.84      
36 A" 1311 1239 2.10      
37 A" 1207 1140 9.95      
38 A" 1180 1114 2.67      
39 A" 1168 1103 6.79      
40 A" 1089 1029 2.56      
41 A" 991 936 0.78      
42 A" 909 859 0.37      
43 A" 831 785 0.19      
44 A" 444 419 0.77      
45 A" 255 241 0.54      

Unscaled Zero Point Vibrational Energy (zpe) 35575.4 cm-1
Scaled (by 0.9445) Zero Point Vibrational Energy (zpe) 33601.0 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 MP2/6-31G(2df,p)
ABC
0.15256 0.14921 0.08584

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.652 1.314 0.000
H2 0.610 2.406 0.000
H3 1.712 1.036 0.000
C4 -0.014 0.748 1.254
C5 -0.014 0.748 -1.254
C6 -0.014 -0.776 -1.202
C7 -0.014 -0.776 1.202
N8 -0.719 -1.211 0.000
H9 -0.784 -2.223 0.000
H10 0.502 1.091 2.155
H11 0.502 1.091 -2.155
H12 -1.050 1.092 1.310
H13 -1.050 1.092 -1.310
H14 1.031 -1.133 -1.230
H15 1.031 -1.133 1.230
H16 -0.525 -1.189 -2.075
H17 -0.525 -1.189 2.075

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09311.09621.52861.52862.50162.50162.87343.81772.17172.17172.15902.15902.76492.76493.45803.4580
H21.09311.75842.17132.17133.45903.45903.85424.83512.52732.52732.49002.49003.77053.77054.30404.3040
H31.09621.75842.15272.15272.77612.77613.31054.10512.47202.47203.05753.05752.58442.58443.77653.7765
C41.52862.17132.15272.50832.89041.52482.43043.31541.09333.46501.09372.78703.28602.15153.88532.1649
C51.52862.17132.15272.50831.52482.89042.43043.31543.46501.09332.78701.09372.15153.28602.16493.8853
C62.50163.45902.77612.89041.52482.40371.45972.03253.87562.15893.29772.13961.10462.67061.09283.3420
C72.50163.45902.77611.52482.89042.40371.45972.03252.15893.87562.13963.29772.67061.10463.34201.0928
N82.87343.85423.31052.43042.43041.45971.45971.01423.38143.38142.67052.67052.14072.14072.08402.0840
H93.81774.83514.10513.31543.31542.03252.03251.01424.15704.15703.57493.57492.44882.44882.33262.3326
H102.17172.52732.47201.09333.46503.87562.15893.38144.15704.31001.76743.79674.08432.46584.91382.5021
H112.17172.52732.47203.46501.09332.15893.87563.38144.15704.31003.79671.76742.46584.08432.50214.9138
H122.15902.49003.05751.09372.78703.29772.13962.67053.57491.76743.79672.61973.96663.04804.11562.4631
H132.15902.49003.05752.78701.09372.13963.29772.67053.57493.79671.76742.61973.04803.96662.46314.1156
H142.76493.77052.58443.28602.15151.10462.67062.14072.44884.08432.46583.96663.04802.45961.77213.6533
H152.76493.77052.58442.15153.28602.67061.10462.14072.44882.46584.08433.04803.96662.45963.65331.7721
H163.45804.30403.77653.88532.16491.09283.34202.08402.33264.91382.50214.11562.46311.77213.65334.1497
H173.45804.30403.77652.16493.88533.34201.09282.08402.33262.50214.91382.46314.11563.65331.77214.1497

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.019 C1 C4 H10 110.750
C1 C4 H12 109.724 C1 C5 C6 110.019
C1 C5 H11 110.750 C1 C5 H13 109.724
H2 C1 H3 106.874 H2 C1 C4 110.729
H2 C1 C5 110.729 H3 C1 C4 109.083
H3 C1 C5 109.083 C4 C1 C5 110.256
C4 C7 N8 109.023 C4 C7 H15 108.758
C4 C7 H17 110.507 C5 C6 N8 109.023
C5 C6 H14 108.758 C5 C6 H16 110.507
C6 C5 H11 109.996 C6 C5 H13 108.464
C6 N8 C7 110.837 C6 N8 H9 109.156
C7 C4 H10 109.996 C7 C4 H12 108.464
C7 N8 H9 109.156 N8 C6 H14 112.450
N8 C6 H16 108.607 N8 C7 H15 112.450
N8 C7 H17 108.607 H10 C4 H12 107.830
H11 C5 H13 107.830 H14 C6 H16 107.492
H15 C7 H17 107.492
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at MP2/6-31G(2df,p)
 hartrees
Energy at 0K-251.229308
Energy at 298.15K-251.243699
Nuclear repulsion energy259.495745
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 MP2/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3552 3354 0.08      
2 A' 3157 2982 61.44      
3 A' 3151 2976 18.66      
4 A' 3143 2968 15.93      
5 A' 3090 2918 22.61      
6 A' 3088 2917 30.13      
7 A' 3086 2915 15.13      
8 A' 1527 1442 2.33      
9 A' 1511 1427 9.06      
10 A' 1508 1424 3.58      
11 A' 1411 1333 3.30      
12 A' 1396 1319 1.76      
13 A' 1356 1281 0.04      
14 A' 1299 1227 8.93      
15 A' 1208 1141 3.44      
16 A' 1072 1013 0.62      
17 A' 1037 979 8.55      
18 A' 946 894 10.82      
19 A' 881 832 40.39      
20 A' 842 795 0.16      
21 A' 796 752 84.52      
22 A' 554 523 1.37      
23 A' 432 408 0.95      
24 A' 402 379 4.95      
25 A' 245 232 4.44      
26 A" 3154 2979 8.22      
27 A" 3144 2969 49.62      
28 A" 3087 2916 4.00      
29 A" 3084 2913 41.80      
30 A" 1510 1426 5.24      
31 A" 1506 1422 0.36      
32 A" 1486 1403 8.04      
33 A" 1395 1317 0.57      
34 A" 1385 1308 1.99      
35 A" 1360 1284 0.93      
36 A" 1315 1242 0.65      
37 A" 1236 1167 14.34      
38 A" 1162 1098 13.21      
39 A" 1130 1067 1.93      
40 A" 1087 1027 3.32      
41 A" 959 906 4.87      
42 A" 901 851 0.15      
43 A" 819 773 0.05      
44 A" 452 427 0.87      
45 A" 244 230 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 35551.0 cm-1
Scaled (by 0.9445) Zero Point Vibrational Energy (zpe) 33577.9 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 MP2/6-31G(2df,p)
ABC
0.15139 0.14744 0.08537

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.658 1.310 0.000
H2 0.621 2.402 0.000
H3 1.717 1.028 0.000
C4 -0.010 0.744 1.254
C5 -0.010 0.744 -1.254
C6 -0.010 -0.786 -1.205
C7 -0.010 -0.786 1.205
N8 -0.623 -1.342 0.000
H9 -1.609 -1.094 0.000
H10 0.499 1.094 2.157
H11 0.499 1.094 -2.157
H12 -1.045 1.100 1.309
H13 -1.045 1.100 -1.309
H14 1.025 -1.146 -1.240
H15 1.025 -1.146 1.240
H16 -0.521 -1.202 -2.077
H17 -0.521 -1.202 2.077

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09301.09611.52901.52902.50812.50812.94513.30432.17412.17412.15832.15832.77612.77613.46613.4661
H21.09301.75772.17252.17253.46623.46623.94574.14742.52612.52612.48742.48743.78083.78084.31404.3140
H31.09611.75772.15282.15282.77922.77923.33053.94532.47862.47863.05753.05752.59712.59713.78113.7811
C41.52902.17252.15282.50772.89631.53072.51012.74041.09423.46671.09612.78723.29632.15523.89142.1742
C51.52902.17252.15282.50771.53072.89632.51012.74043.46671.09422.78721.09612.15523.29632.17423.8914
C62.50813.46622.77922.89631.53072.41081.46232.02613.88592.16753.30932.15371.09632.68001.09303.3479
C72.50813.46622.77921.53072.89632.41081.46232.02612.16753.88592.15373.30932.68001.09633.34791.0930
N82.94513.94573.33052.51012.51011.46231.46231.01643.44193.44192.80292.80292.07172.07172.08402.0840
H93.30434.14743.94532.74042.74042.02612.02611.01643.72633.72632.61692.61692.91152.91152.34662.3466
H102.17412.52612.47861.09423.46673.88592.16753.44193.72634.31491.76133.79494.10382.47734.92362.5137
H112.17412.52612.47863.46671.09422.16753.88593.44193.72634.31493.79491.76132.47734.10382.51374.9236
H122.15832.48743.05751.09612.78723.30932.15372.80292.61691.76133.79492.61873.97893.05544.12792.4824
H132.15832.48743.05752.78721.09612.15373.30932.80292.61693.79491.76132.61873.05543.97892.48244.1279
H142.77613.78082.59713.29632.15521.09632.68002.07172.91154.10382.47733.97893.05542.48071.75913.6604
H152.77613.78082.59712.15523.29632.68001.09632.07172.91152.47734.10383.05543.97892.48073.66041.7591
H163.46614.31403.78113.89142.17421.09303.34792.08402.34664.92362.51374.12792.48241.75913.66044.1537
H173.46614.31403.78112.17423.89143.34791.09302.08402.34662.51374.92362.48244.12793.66041.75914.1537

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.112 C1 C4 H10 110.858
C1 C4 H12 109.498 C1 C5 C6 110.112
C1 C5 H11 110.858 C1 C5 H13 109.498
H2 C1 H3 106.826 H2 C1 C4 110.806
H2 C1 C5 110.806 H3 C1 C4 109.068
H3 C1 C5 109.068 C4 C1 C5 110.178
C4 C7 N8 113.978 C4 C7 H15 109.134
C4 C7 H17 110.820 C5 C6 N8 113.978
C5 C6 H14 109.134 C5 C6 H16 110.820
C6 C5 H11 110.223 C6 C5 H13 109.028
C6 N8 C7 111.034 C6 N8 H9 108.299
C7 C4 H10 110.223 C7 C4 H12 109.028
C7 N8 H9 108.299 N8 C6 H14 107.266
N8 C6 H16 108.419 N8 C7 H15 107.266
N8 C7 H17 108.419 H10 C4 H12 107.053
H11 C5 H13 107.053 H14 C6 H16 106.934
H15 C7 H17 106.934
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability