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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: B3PW91/STO-3G

19 10 17 12 22

States and conformations

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

Conformer 1 (NH equatorial)

Jump to S1C2
Energy calculated at B3PW91/STO-3G
 hartrees
Energy at 0K-248.789778
Energy at 298.15K-248.803820
Nuclear repulsion energy255.033401
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 B3PW91/STO-3G
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' 3579 3167 13.51      
2 A' 3483 3082 5.12      
3 A' 3467 3068 1.84      
4 A' 3430 3035 7.67      
5 A' 3366 2979 1.39      
6 A' 3359 2973 4.60      
7 A' 3282 2905 25.34      
8 A' 1683 1489 0.92      
9 A' 1670 1478 0.90      
10 A' 1661 1470 2.56      
11 A' 1555 1377 4.41      
12 A' 1519 1344 2.27      
13 A' 1400 1239 0.40      
14 A' 1373 1215 4.20      
15 A' 1255 1110 3.66      
16 A' 1164 1030 10.30      
17 A' 1125 995 7.68      
18 A' 1014 898 2.66      
19 A' 942 834 2.44      
20 A' 900 797 8.36      
21 A' 833 738 25.11      
22 A' 556 492 17.45      
23 A' 452 400 5.30      
24 A' 388 343 2.66      
25 A' 249 220 1.65      
26 A" 3478 3078 1.12      
27 A" 3428 3033 1.98      
28 A" 3366 2979 3.67      
29 A" 3284 2907 10.09      
30 A" 1672 1480 0.49      
31 A" 1657 1466 1.13      
32 A" 1595 1411 0.86      
33 A" 1527 1352 0.69      
34 A" 1486 1315 7.21      
35 A" 1456 1289 11.98      
36 A" 1393 1233 2.78      
37 A" 1262 1117 0.47      
38 A" 1234 1092 7.00      
39 A" 1229 1087 0.30      
40 A" 1156 1023 0.94      
41 A" 1055 934 0.40      
42 A" 961 851 1.59      
43 A" 884 783 0.04      
44 A" 454 402 0.55      
45 A" 236 209 1.14      

Unscaled Zero Point Vibrational Energy (zpe) 38256.6 cm-1
Scaled (by 0.885) Zero Point Vibrational Energy (zpe) 33857.1 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 B3PW91/STO-3G
ABC
0.14743 0.14245 0.08242

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.658 1.346 0.000
H2 0.577 2.446 0.000
H3 1.731 1.092 0.000
C4 -0.009 0.763 1.274
C5 -0.009 0.763 -1.274
C6 -0.009 -0.788 -1.225
C7 -0.009 -0.788 1.225
N8 -0.767 -1.250 0.000
H9 -0.667 -2.305 0.000
H10 0.527 1.105 2.175
H11 0.527 1.105 -2.175
H12 -1.050 1.117 1.342
H13 -1.050 1.117 -1.342
H14 1.042 -1.154 -1.243
H15 1.042 -1.154 1.243
H16 -0.524 -1.197 -2.113
H17 -0.524 -1.197 2.113

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.10231.10291.55141.55142.54982.54982.96103.88422.19222.19222.18352.18352.81822.81823.51153.5115
H21.10231.77882.19022.19023.50753.50753.93214.91092.55552.55552.49232.49233.83623.83624.35294.3529
H31.10291.77882.18092.18092.83922.83923.42354.15792.48582.48583.08743.08742.65742.65743.84563.8456
C41.55142.19022.18092.54802.94161.55212.49983.38671.10263.50701.10172.83773.33322.18603.94742.1936
C51.55142.19022.18092.54801.55212.94162.49983.38673.50701.10262.83771.10172.18603.33322.19363.9474
C62.54983.50752.83922.94161.55212.45071.51312.05813.92852.18473.36242.17441.11212.70681.10533.4030
C72.54983.50752.83921.55212.94162.45071.51312.05812.18473.92852.17443.36242.70681.11213.40301.1053
N82.96103.93213.42352.49982.49981.51311.51311.06023.45673.45672.73542.73542.19642.19642.12802.1280
H93.88424.91094.15793.38673.38672.05812.05811.06024.21724.21723.69573.69572.40612.40612.39062.3906
H102.19222.55552.48581.10263.50703.92852.18473.45674.21724.35001.78333.85424.12872.49734.97942.5312
H112.19222.55552.48583.50701.10262.18473.92853.45674.21724.35003.85421.78332.49734.12872.53124.9794
H122.18352.49233.08741.10172.83773.36242.17442.73543.69571.78333.85422.68394.02623.08894.19182.4953
H132.18352.49233.08742.83771.10172.17443.36242.73543.69573.85421.78332.68393.08894.02622.49534.1918
H142.81823.83622.65743.33322.18601.11212.70682.19642.40614.12872.49734.02623.08892.48511.79223.7035
H152.81823.83622.65742.18603.33322.70681.11212.19642.40612.49734.12873.08894.02622.48513.70351.7922
H163.51154.35293.84563.94742.19361.10533.40302.12802.39064.97942.53124.19182.49531.79223.70354.2269
H173.51154.35293.84562.19363.94743.40301.10532.12802.39062.53124.97942.49534.19183.70351.79224.2269

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.486 C1 C4 H10 110.235
C1 C4 H12 109.606 C1 C5 C6 110.486
C1 C5 H11 110.235 C1 C5 H13 109.606
H2 C1 H3 107.532 H2 C1 C4 110.092
H2 C1 C5 110.092 H3 C1 C4 109.333
H3 C1 C5 109.333 C4 C1 C5 110.404
C4 C7 N8 109.274 C4 C7 H15 109.156
C4 C7 H17 110.144 C5 C6 N8 109.274
C5 C6 H14 109.156 C5 C6 H16 110.144
C6 C5 H11 109.603 C6 C5 H13 108.860
C6 N8 C7 108.152 C6 N8 H9 104.853
C7 C4 H10 109.603 C7 C4 H12 108.860
C7 N8 H9 104.853 N8 C6 H14 112.684
N8 C6 H16 107.709 N8 C7 H15 112.684
N8 C7 H17 107.709 H10 C4 H12 108.001
H11 C5 H13 108.001 H14 C6 H16 107.846
H15 C7 H17 107.846
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.140      
2 H 0.073      
3 H 0.068      
4 C -0.140      
5 C -0.140      
6 C -0.076      
7 C -0.076      
8 N -0.302      
9 H 0.152      
10 H 0.073      
11 H 0.073      
12 H 0.080      
13 H 0.080      
14 H 0.059      
15 H 0.059      
16 H 0.078      
17 H 0.078      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.252 -0.363 0.000 1.303
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.329 -1.191 0.000
y -1.191 -34.034 0.000
z 0.000 0.000 -35.221
Traceless
 xyz
x -3.702 -1.191 0.000
y -1.191 2.742 0.000
z 0.000 0.000 0.960
Polar
3z2-r21.921
x2-y2-4.296
xy-1.191
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.969 0.260 0.000
y 0.260 4.878 0.000
z 0.000 0.000 5.076


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

Conformer 2 (NH axial)

Jump to S1C1
Energy calculated at B3PW91/STO-3G
 hartrees
Energy at 0K-248.791891
Energy at 298.15K-248.805903
Nuclear repulsion energy254.602567
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 B3PW91/STO-3G
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' 3572 3161 12.62      
2 A' 3475 3076 6.75      
3 A' 3464 3066 2.09      
4 A' 3458 3061 0.10      
5 A' 3360 2974 3.84      
6 A' 3355 2969 3.10      
7 A' 3349 2963 5.85      
8 A' 1683 1489 0.54      
9 A' 1667 1475 3.25      
10 A' 1648 1459 1.91      
11 A' 1518 1344 0.94      
12 A' 1510 1336 3.90      
13 A' 1427 1263 3.83      
14 A' 1382 1223 5.82      
15 A' 1305 1155 5.24      
16 A' 1133 1003 0.47      
17 A' 1081 956 5.21      
18 A' 1046 926 23.96      
19 A' 928 821 16.09      
20 A' 893 790 7.31      
21 A' 833 738 37.29      
22 A' 573 507 0.29      
23 A' 459 406 1.16      
24 A' 374 331 4.52      
25 A' 241 214 4.30      
26 A" 3468 3069 0.31      
27 A" 3458 3060 1.77      
28 A" 3355 2969 3.58      
29 A" 3347 2962 6.24      
30 A" 1667 1476 0.21      
31 A" 1649 1459 1.25      
32 A" 1612 1427 2.45      
33 A" 1527 1351 0.65      
34 A" 1498 1326 2.64      
35 A" 1454 1287 2.81      
36 A" 1400 1239 1.14      
37 A" 1299 1149 3.44      
38 A" 1209 1070 4.94      
39 A" 1203 1065 0.66      
40 A" 1157 1024 1.80      
41 A" 1018 901 6.64      
42 A" 956 846 1.09      
43 A" 870 770 0.14      
44 A" 466 412 1.85      
45 A" 226 200 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 38285.8 cm-1
Scaled (by 0.885) Zero Point Vibrational Energy (zpe) 33883.0 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 B3PW91/STO-3G
ABC
0.14638 0.14086 0.08194

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.663 1.342 0.000
H2 0.585 2.441 0.000
H3 1.735 1.084 0.000
C4 -0.003 0.758 1.274
C5 -0.003 0.758 -1.274
C6 -0.003 -0.801 -1.229
C7 -0.003 -0.801 1.229
N8 -0.653 -1.396 0.000
H9 -1.638 -1.001 0.000
H10 0.532 1.101 2.175
H11 0.532 1.101 -2.175
H12 -1.042 1.121 1.347
H13 -1.042 1.121 -1.347
H14 1.039 -1.167 -1.261
H15 1.039 -1.167 1.261
H16 -0.532 -1.202 -2.113
H17 -0.532 -1.202 2.113

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.10251.10261.55151.55152.55782.55783.03753.28322.19222.19222.18412.18412.83282.83283.51563.5156
H21.10251.77872.19142.19143.51663.51664.03234.09762.55552.55552.49132.49133.84933.84934.35704.3570
H31.10261.77872.17972.17972.84332.84333.44303.96512.48562.48563.08693.08692.67272.67273.85083.8508
C41.55152.19142.17972.54832.94891.55952.58602.71841.10253.50721.10292.84263.34952.18953.94862.1966
C51.55152.19142.17972.54831.55952.94892.58602.71843.50721.10252.84261.10292.18953.34952.19663.9486
C62.55783.51662.84332.94891.55952.45801.51232.05473.93562.19013.37732.18751.10502.72381.10513.4068
C72.55783.51662.84331.55952.94892.45801.51232.05472.19013.93562.18753.37732.72381.10503.40681.1051
N83.03754.03233.44302.58602.58601.51231.51231.06123.51703.51702.88122.88122.12202.12202.12492.1249
H93.28324.09763.96512.71842.71842.05472.05471.06123.72223.72222.58272.58272.96302.96302.39272.3927
H102.19222.55552.48561.10253.50723.93562.19013.51703.72224.35011.77913.85784.14802.49734.98172.5374
H112.19222.55552.48563.50721.10252.19013.93563.51703.72224.35013.85781.77912.49734.14802.53744.9817
H122.18412.49133.08691.10292.84263.37732.18752.88122.58271.77913.85782.69364.04543.09414.19792.4983
H132.18412.49133.08692.84261.10292.18753.37732.88122.58273.85781.77912.69363.09414.04542.49834.1979
H142.83283.84932.67273.34952.18951.10502.72382.12202.96304.14802.49734.04543.09412.52161.78713.7212
H152.83283.84932.67272.18953.34952.72381.10502.12202.96302.49734.14803.09414.04542.52163.72121.7871
H163.51564.35703.85083.94862.19661.10513.40682.12492.39274.98172.53744.19792.49831.78713.72124.2250
H173.51564.35703.85082.19663.94863.40681.10512.12492.39272.53744.98172.49834.19793.72121.78714.2250

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.605 C1 C4 H10 110.234
C1 C4 H12 109.578 C1 C5 C6 110.605
C1 C5 H11 110.234 C1 C5 H13 109.578
H2 C1 H3 107.535 H2 C1 C4 110.163
H2 C1 C5 110.163 H3 C1 C4 109.256
H3 C1 C5 109.256 C4 C1 C5 110.412
C4 C7 N8 114.660 C4 C7 H15 109.324
C4 C7 H17 109.866 C5 C6 N8 114.660
C5 C6 H14 109.324 C5 C6 H16 109.866
C6 C5 H11 109.517 C6 C5 H13 109.297
C6 N8 C7 108.711 C6 N8 H9 104.587
C7 C4 H10 109.517 C7 C4 H12 109.297
C7 N8 H9 104.587 N8 C6 H14 107.314
N8 C6 H16 107.526 N8 C7 H15 107.314
N8 C7 H17 107.526 H10 C4 H12 107.549
H11 C5 H13 107.549 H14 C6 H16 107.920
H15 C7 H17 107.920
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.142      
2 H 0.073      
3 H 0.072      
4 C -0.149      
5 C -0.149      
6 C -0.079      
7 C -0.079      
8 N -0.297      
9 H 0.150      
10 H 0.076      
11 H 0.076      
12 H 0.068      
13 H 0.068      
14 H 0.078      
15 H 0.078      
16 H 0.079      
17 H 0.079      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.064 1.497 0.000 1.498
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.546 -1.023 0.000
y -1.023 -40.912 0.000
z 0.000 0.000 -35.168
Traceless
 xyz
x 3.494 -1.023 0.000
y -1.023 -6.055 0.000
z 0.000 0.000 2.561
Polar
3z2-r25.122
x2-y26.366
xy-1.023
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.471 0.148 0.000
y 0.148 4.290 0.000
z 0.000 0.000 5.116


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