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/CEP-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 B3LYP/CEP-31G*
 hartrees
Energy at 0K-44.764929
Energy at 298.15K-44.779135
Nuclear repulsion energy143.847701
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/CEP-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' 3496 3376 3.02      
2 A' 3093 2987 152.42      
3 A' 3069 2964 11.60      
4 A' 3063 2958 74.96      
5 A' 3037 2933 20.82      
6 A' 3020 2916 38.31      
7 A' 2926 2826 179.45      
8 A' 1509 1457 2.78      
9 A' 1495 1444 5.98      
10 A' 1481 1430 9.31      
11 A' 1420 1372 3.65      
12 A' 1373 1325 0.13      
13 A' 1303 1258 0.19      
14 A' 1276 1232 2.91      
15 A' 1152 1113 5.44      
16 A' 1057 1021 13.43      
17 A' 1040 1004 7.21      
18 A' 901 870 3.05      
19 A' 858 829 18.82      
20 A' 813 785 1.30      
21 A' 781 754 63.24      
22 A' 530 512 19.80      
23 A' 423 409 5.91      
24 A' 391 378 1.18      
25 A' 242 234 1.53      
26 A" 3085 2979 9.88      
27 A" 3062 2957 132.06      
28 A" 3036 2932 45.75      
29 A" 2921 2821 36.67      
30 A" 1497 1445 0.26      
31 A" 1479 1428 0.02      
32 A" 1469 1419 4.39      
33 A" 1377 1330 0.00      
34 A" 1353 1307 27.06      
35 A" 1337 1291 5.89      
36 A" 1282 1238 2.99      
37 A" 1172 1132 4.47      
38 A" 1154 1115 3.54      
39 A" 1131 1092 14.88      
40 A" 1053 1017 2.93      
41 A" 959 926 2.41      
42 A" 874 844 0.58      
43 A" 801 773 0.06      
44 A" 436 421 0.95      
45 A" 239 231 0.66      

Unscaled Zero Point Vibrational Energy (zpe) 34732.3 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 33541.0 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/CEP-31G*
ABC
0.14831 0.14464 0.08306

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.643 1.345 0.000
H2 0.574 2.448 0.000
H3 1.720 1.090 0.000
C4 -0.021 0.761 1.273
C5 -0.021 0.761 -1.273
C6 -0.021 -0.785 -1.222
C7 -0.021 -0.785 1.222
N8 -0.724 -1.240 0.000
H9 -0.757 -2.264 0.000
H10 0.509 1.103 2.180
H11 0.509 1.103 -2.180
H12 -1.067 1.111 1.341
H13 -1.067 1.111 -1.341
H14 1.033 -1.148 -1.263
H15 1.033 -1.148 1.263
H16 -0.549 -1.195 -2.101
H17 -0.549 -1.195 2.101

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.10481.10731.55021.55022.54422.54422.92443.87122.19772.19772.18572.18572.82202.82203.50563.5056
H21.10481.77702.19582.19583.50733.50733.90994.89632.56262.56262.50602.50603.83883.83884.35304.3530
H31.10731.77702.18212.18212.83582.83583.37684.16952.49402.49403.09323.09322.65982.65983.84513.8451
C41.55022.19582.18212.54582.93481.54682.47333.36301.10533.51031.10482.83733.34432.18073.93542.1886
C51.55022.19582.18212.54581.54682.93482.47333.36303.51031.10532.83731.10482.18073.34432.18863.9354
C62.54423.50732.83582.93481.54682.44361.48102.05443.92682.18283.35542.16861.11602.72331.10433.3894
C72.54423.50732.83581.54682.93482.44361.48102.05442.18283.92682.16863.35542.72331.11603.38941.1043
N82.92443.90993.37682.47332.47331.48101.48101.02433.42973.42972.72862.72862.16572.16572.10892.1089
H93.87124.89634.16953.36303.36302.05442.05441.02434.20614.20613.64503.64502.45852.45852.36652.3665
H102.19772.56262.49401.10533.51033.92682.18283.42974.20614.36031.78533.85824.14662.48654.97292.5311
H112.19772.56262.49403.51031.10532.18283.92683.42974.20614.36033.85821.78532.48654.14662.53114.9729
H122.18572.50603.09321.10482.83733.35542.16862.72863.64501.78533.85822.68294.03673.08544.17592.4827
H132.18572.50603.09322.83731.10482.16863.35542.72863.64503.85821.78532.68293.08544.03672.48274.1759
H142.82203.83882.65983.34432.18071.11602.72332.16572.45854.14662.48654.03673.08542.52541.79113.7176
H152.82203.83882.65982.18073.34432.72331.11602.16572.45852.48654.14663.08544.03672.52543.71761.7911
H163.50564.35303.84513.93542.18861.10433.38942.10892.36654.97292.53114.17592.48271.79113.71764.2022
H173.50564.35303.84512.18863.93543.38941.10432.10892.36652.53114.97292.48274.17593.71761.79114.2022

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.477 C1 C4 H10 110.588
C1 C4 H12 109.685 C1 C5 C6 110.477
C1 C5 H11 110.588 C1 C5 H13 109.685
H2 C1 H3 106.898 H2 C1 C4 110.475
H2 C1 C5 110.475 H3 C1 C4 109.261
H3 C1 C5 109.261 C4 C1 C5 110.393
C4 C7 N8 109.528 C4 C7 H15 108.889
C4 C7 H17 110.169 C5 C6 N8 109.528
C5 C6 H14 108.889 C5 C6 H16 110.169
C6 C5 H11 109.661 C6 C5 H13 108.599
C6 N8 C7 111.180 C6 N8 H9 108.806
C7 C4 H10 109.661 C7 C4 H12 108.599
C7 N8 H9 108.806 N8 C6 H14 112.244
N8 C6 H16 108.439 N8 C7 H15 112.244
N8 C7 H17 108.439 H10 C4 H12 107.766
H11 C5 H13 107.766 H14 C6 H16 107.547
H15 C7 H17 107.547
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.258      
2 H 0.169      
3 H 0.113      
4 C -0.228      
5 C -0.228      
6 C -0.359      
7 C -0.359      
8 N -0.250      
9 H 0.247      
10 H 0.157      
11 H 0.157      
12 H 0.124      
13 H 0.124      
14 H 0.108      
15 H 0.108      
16 H 0.188      
17 H 0.188      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.960 -0.417 0.000 1.047
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.552 -0.549 0.000
y -0.549 -36.049 0.000
z 0.000 0.000 -37.454
Traceless
 xyz
x -3.801 -0.549 0.000
y -0.549 2.954 0.000
z 0.000 0.000 0.847
Polar
3z2-r21.694
x2-y2-4.503
xy-0.549
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.521 0.401 0.000
y 0.401 8.984 0.000
z 0.000 0.000 9.269


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

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at B3LYP/CEP-31G*
 hartrees
Energy at 0K-44.763776
Energy at 298.15K-44.777939
Nuclear repulsion energy143.693837
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/CEP-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' 3469 3350 4.81      
2 A' 3084 2979 181.43      
3 A' 3072 2966 35.26      
4 A' 3061 2956 53.97      
5 A' 3029 2925 46.92      
6 A' 3024 2920 30.30      
7 A' 3016 2913 36.92      
8 A' 1502 1451 2.32      
9 A' 1486 1435 6.52      
10 A' 1481 1430 9.02      
11 A' 1390 1342 6.74      
12 A' 1374 1327 0.85      
13 A' 1329 1283 0.28      
14 A' 1271 1227 9.00      
15 A' 1175 1135 3.22      
16 A' 1038 1002 1.76      
17 A' 1002 968 8.78      
18 A' 913 882 25.17      
19 A' 856 826 61.79      
20 A' 806 778 4.20      
21 A' 784 757 51.81      
22 A' 538 520 1.12      
23 A' 425 410 0.98      
24 A' 383 370 5.31      
25 A' 237 229 5.18      
26 A" 3078 2972 15.97      
27 A" 3059 2954 114.67      
28 A" 3026 2922 36.35      
29 A" 3016 2912 46.14      
30 A" 1489 1438 5.69      
31 A" 1482 1431 3.90      
32 A" 1471 1420 3.91      
33 A" 1376 1329 0.25      
34 A" 1364 1317 2.27      
35 A" 1337 1292 1.39      
36 A" 1286 1242 0.78      
37 A" 1204 1162 13.00      
38 A" 1115 1077 19.29      
39 A" 1105 1067 0.81      
40 A" 1054 1018 3.79      
41 A" 930 898 7.74      
42 A" 867 837 0.41      
43 A" 788 761 0.09      
44 A" 444 429 0.89      
45 A" 225 218 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 34729.1 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 33537.9 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 B3LYP/CEP-31G*
ABC
0.14709 0.14302 0.08266

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.655 1.338 0.000
H2 0.587 2.441 0.000
H3 1.732 1.083 0.000
C4 -0.009 0.755 1.274
C5 -0.009 0.755 -1.274
C6 -0.009 -0.799 -1.225
C7 -0.009 -0.799 1.225
N8 -0.623 -1.368 0.000
H9 -1.618 -1.116 0.000
H10 0.523 1.100 2.180
H11 0.523 1.100 -2.180
H12 -1.052 1.119 1.350
H13 -1.052 1.119 -1.350
H14 1.035 -1.165 -1.271
H15 1.035 -1.165 1.271
H16 -0.536 -1.216 -2.101
H17 -0.536 -1.216 2.101

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.10501.10681.55061.55062.55132.55132.99293.34562.19732.19732.18732.18732.83312.83313.51543.5154
H21.10501.77702.19592.19593.51473.51473.99664.18532.56062.56062.50092.50093.84993.84994.36474.3647
H31.10681.77702.18202.18202.84102.84103.39864.00732.49312.49313.09413.09412.67482.67483.85253.8525
C41.55062.19592.18202.54762.94211.55442.55052.77711.10653.51201.10742.84703.35402.18513.94342.2014
C51.55062.19592.18202.54761.55442.94212.55052.77713.51201.10652.84701.10742.18513.35402.20143.9434
C62.55133.51472.84102.94211.55442.44921.48332.04683.93492.19163.37582.18701.10682.72931.10433.3927
C72.55133.51472.84101.55442.94212.44921.48332.04682.19163.93492.18703.37582.72931.10683.39271.1043
N82.99293.99663.39862.55052.55051.48331.48331.02663.48703.48702.86242.86242.09812.09812.10812.1081
H93.34564.18534.00732.77712.77712.04682.04681.02663.77513.77512.67232.67232.94152.94152.36532.3653
H102.19732.56062.49311.10653.51203.93492.19163.48703.77514.36071.78053.86584.15972.49424.98152.5482
H112.19732.56062.49313.51201.10652.19163.93493.48703.77514.36073.86581.78052.49424.15972.54824.9815
H122.18732.50093.09411.10742.84703.37582.18702.86242.67231.78053.86582.70014.05463.09484.19882.5070
H132.18732.50093.09412.84701.10742.18703.37582.86242.67233.86581.78052.70013.09484.05462.50704.1988
H142.83313.84992.67483.35402.18511.10682.72932.09812.94154.15972.49424.05463.09482.54141.77693.7196
H152.83313.84992.67482.18513.35402.72931.10682.09812.94152.49424.15973.09484.05462.54143.71961.7769
H163.51544.36473.85253.94342.20141.10433.39272.10812.36534.98152.54824.19882.50701.77693.71964.2017
H173.51544.36473.85252.20143.94343.39271.10432.10812.36532.54824.98152.50704.19883.71961.77694.2017

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.503 C1 C4 H10 110.458
C1 C4 H12 109.627 C1 C5 C6 110.503
C1 C5 H11 110.458 C1 C5 H13 109.627
H2 C1 H3 106.915 H2 C1 C4 110.436
H2 C1 C5 110.436 H3 C1 C4 109.253
H3 C1 C5 109.253 C4 C1 C5 110.468
C4 C7 N8 114.178 C4 C7 H15 109.236
C4 C7 H17 110.647 C5 C6 N8 114.178
C5 C6 H14 109.236 C5 C6 H16 110.647
C6 C5 H11 109.759 C6 C5 H13 109.351
C6 N8 C7 111.296 C6 N8 H9 107.886
C7 C4 H10 109.759 C7 C4 H12 109.351
C7 N8 H9 107.886 N8 C6 H14 107.309
N8 C6 H16 108.223 N8 C7 H15 107.309
N8 C7 H17 108.223 H10 C4 H12 107.073
H11 C5 H13 107.073 H14 C6 H16 106.955
H15 C7 H17 106.955
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.229      
2 H 0.172      
3 H 0.120      
4 C -0.249      
5 C -0.249      
6 C -0.401      
7 C -0.401      
8 N -0.188      
9 H 0.221      
10 H 0.154      
11 H 0.154      
12 H 0.114      
13 H 0.114      
14 H 0.132      
15 H 0.132      
16 H 0.201      
17 H 0.201      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.146 1.421 0.000 1.428
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.063 -0.753 0.000
y -0.753 -43.842 0.000
z 0.000 0.000 -37.311
Traceless
 xyz
x 4.513 -0.753 0.000
y -0.753 -7.155 0.000
z 0.000 0.000 2.642
Polar
3z2-r25.283
x2-y27.779
xy-0.753
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.833 0.325 0.000
y 0.325 8.556 0.000
z 0.000 0.000 9.284


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