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All results from a given calculation for C5H11N (Piperidine)

using model chemistry: B3LYP/6-31G

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/6-31G
 hartrees
Energy at 0K-251.834847
Energy at 298.15K-251.849168
Nuclear repulsion energy257.408225
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/6-31G
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' 3546 3412 1.34      
2 A' 3095 2978 104.19      
3 A' 3085 2967 6.87      
4 A' 3073 2956 66.59      
5 A' 3040 2925 12.40      
6 A' 3018 2903 31.02      
7 A' 2897 2787 172.40      
8 A' 1550 1491 3.13      
9 A' 1536 1478 5.73      
10 A' 1533 1475 7.21      
11 A' 1446 1391 4.22      
12 A' 1407 1353 0.20      
13 A' 1332 1281 0.28      
14 A' 1313 1263 3.28      
15 A' 1189 1144 2.74      
16 A' 1074 1034 5.79      
17 A' 1070 1030 2.32      
18 A' 911 876 4.03      
19 A' 883 850 4.02      
20 A' 825 793 0.78      
21 A' 676 650 86.13      
22 A' 540 520 57.19      
23 A' 437 421 19.21      
24 A' 385 370 5.10      
25 A' 239 230 1.50      
26 A" 3088 2971 2.19      
27 A" 3082 2965 98.67      
28 A" 3041 2925 39.44      
29 A" 2889 2779 37.40      
30 A" 1538 1480 0.23      
31 A" 1525 1467 0.24      
32 A" 1518 1461 4.49      
33 A" 1405 1351 2.14      
34 A" 1397 1344 0.47      
35 A" 1376 1324 32.05      
36 A" 1317 1267 2.08      
37 A" 1217 1171 5.72      
38 A" 1199 1153 8.85      
39 A" 1142 1099 21.20      
40 A" 1089 1048 1.61      
41 A" 1006 968 0.96      
42 A" 889 855 0.18      
43 A" 841 809 0.64      
44 A" 460 442 0.98      
45 A" 245 236 0.42      

Unscaled Zero Point Vibrational Energy (zpe) 35182.1 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 33845.2 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/6-31G
ABC
0.14801 0.14718 0.08337

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.641 1.331 0.000
H2 0.580 2.427 0.000
H3 1.712 1.073 0.000
C4 -0.018 0.756 1.271
C5 -0.018 0.756 -1.271
C6 -0.018 -0.782 -1.235
C7 -0.018 -0.782 1.235
N8 -0.666 -1.244 0.000
H9 -0.875 -2.237 0.000
H10 0.508 1.107 2.169
H11 0.508 1.107 -2.169
H12 -1.057 1.103 1.336
H13 -1.057 1.103 -1.336
H14 1.031 -1.139 -1.322
H15 1.031 -1.139 1.322
H16 -0.571 -1.184 -2.091
H17 -0.571 -1.184 2.091

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09751.10111.54301.54302.53412.53412.88723.87662.18442.18442.17262.17262.82782.82783.48803.4880
H21.09751.76432.18302.18303.48943.48943.87604.88542.53992.53992.49342.49343.82893.82894.32854.3285
H31.10111.76432.16972.16972.82052.82053.31934.20062.48082.48083.07433.07432.66482.66483.83103.8310
C41.54302.18302.16972.54222.93991.53782.45623.36251.09793.49751.09772.82783.37802.16563.92072.1774
C51.54302.18302.16972.54221.53782.93992.45623.36253.49751.09792.82781.09772.16563.37802.17743.9207
C62.53413.48942.82052.93991.53782.46971.46902.09223.92782.17143.35272.15471.11112.78641.09573.3953
C72.53413.48942.82051.53782.93992.46971.46902.09222.17143.92782.15473.35272.78641.11113.39531.0957
N82.88723.87603.31932.45622.45621.46901.46901.01523.40663.40662.72852.72852.15322.15322.09382.0938
H93.87664.88544.20063.36253.36252.09222.09221.01524.21864.21863.60203.60202.56622.56622.36052.3605
H102.18442.53992.48081.09793.49753.92782.17143.40664.21864.33761.77273.83804.18332.45614.95552.5335
H112.18442.53992.48083.49751.09792.17143.92783.40664.21864.33763.83801.77272.45614.18332.53354.9555
H122.17262.49343.07431.09772.82783.35272.15472.72853.60201.77273.83802.67154.05553.06344.14852.4574
H132.17262.49343.07432.82781.09772.15473.35272.72853.60203.83801.77272.67153.06344.05552.45744.1485
H142.82783.82892.66483.37802.16561.11112.78642.15322.56624.18332.45614.05553.06342.64381.77733.7701
H152.82783.82892.66482.16563.37802.78641.11112.15322.56622.45614.18333.06344.05552.64383.77011.7773
H163.48804.32853.83103.92072.17741.09573.39532.09382.36054.95552.53354.14852.45741.77733.77014.1816
H173.48804.32853.83102.17743.92073.39531.09572.09382.36052.53354.95552.45744.14853.77011.77734.1816

picture of Piperidine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.685 C1 C4 H10 110.483
C1 C4 H12 109.567 C1 C5 C6 110.685
C1 C5 H11 110.483 C1 C5 H13 109.567
H2 C1 H3 106.731 H2 C1 C4 110.394
H2 C1 C5 110.394 H3 C1 C4 109.142
H3 C1 C5 109.142 C4 C1 C5 110.932
C4 C7 N8 109.526 C4 C7 H15 108.614
C4 C7 H17 110.421 C5 C6 N8 109.526
C5 C6 H14 108.614 C5 C6 H16 110.421
C6 C5 H11 109.818 C6 C5 H13 108.531
C6 N8 C7 114.411 C6 N8 H9 113.491
C7 C4 H10 109.818 C7 C4 H12 108.531
C7 N8 H9 113.491 N8 C6 H14 112.398
N8 C6 H16 108.574 N8 C7 H15 112.398
N8 C7 H17 108.574 H10 C4 H12 107.686
H11 C5 H13 107.686 H14 C6 H16 107.289
H15 C7 H17 107.289
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.250      
2 H 0.124      
3 H 0.118      
4 C -0.224      
5 C -0.224      
6 C -0.105      
7 C -0.105      
8 N -0.566      
9 H 0.274      
10 H 0.116      
11 H 0.116      
12 H 0.134      
13 H 0.134      
14 H 0.099      
15 H 0.099      
16 H 0.130      
17 H 0.130      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.611 -0.592 0.000 0.851
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.216 0.314 0.000
y 0.314 -36.190 0.000
z 0.000 0.000 -37.866
Traceless
 xyz
x -4.189 0.314 0.000
y 0.314 3.351 0.000
z 0.000 0.000 0.838
Polar
3z2-r21.675
x2-y2-5.026
xy0.314
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.817 0.374 0.000
y 0.374 8.658 0.000
z 0.000 0.000 9.199


<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/6-31G
 hartrees
Energy at 0K-251.834116
Energy at 298.15K-251.848398
Nuclear repulsion energy256.817241
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/6-31G
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' 3517 3384 1.56      
2 A' 3095 2978 60.32      
3 A' 3076 2959 79.67      
4 A' 3069 2952 57.81      
5 A' 3026 2911 68.36      
6 A' 3019 2904 19.88      
7 A' 3016 2901 16.76      
8 A' 1544 1485 3.85      
9 A' 1534 1476 8.44      
10 A' 1527 1469 3.95      
11 A' 1424 1370 2.43      
12 A' 1400 1347 0.36      
13 A' 1359 1307 0.04      
14 A' 1300 1250 6.20      
15 A' 1209 1163 1.68      
16 A' 1065 1025 2.35      
17 A' 1027 988 5.38      
18 A' 913 878 5.84      
19 A' 871 838 14.65      
20 A' 820 789 3.80      
21 A' 647 622 174.44      
22 A' 564 543 8.41      
23 A' 443 426 3.91      
24 A' 382 367 11.15      
25 A' 238 229 7.46      
26 A" 3093 2975 42.42      
27 A" 3067 2950 75.17      
28 A" 3022 2908 2.48      
29 A" 3016 2902 46.21      
30 A" 1532 1474 0.89      
31 A" 1524 1466 6.94      
32 A" 1507 1450 5.67      
33 A" 1408 1354 2.77      
34 A" 1395 1342 1.34      
35 A" 1387 1334 1.44      
36 A" 1323 1273 0.80      
37 A" 1234 1187 15.03      
38 A" 1155 1111 1.63      
39 A" 1121 1078 20.97      
40 A" 1089 1048 2.71      
41 A" 976 938 5.01      
42 A" 878 844 0.07      
43 A" 826 795 0.21      
44 A" 463 445 1.05      
45 A" 234 225 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 35167.0 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 33830.7 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 B3LYP/6-31G
ABC
0.14696 0.14543 0.08308

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.645 1.329 0.000
H2 0.585 2.425 0.000
H3 1.716 1.072 0.000
C4 -0.011 0.753 1.274
C5 -0.011 0.753 -1.274
C6 -0.011 -0.792 -1.234
C7 -0.011 -0.792 1.234
N8 -0.598 -1.345 0.000
H9 -1.614 -1.299 0.000
H10 0.514 1.108 2.171
H11 0.514 1.108 -2.171
H12 -1.049 1.112 1.347
H13 -1.049 1.112 -1.347
H14 1.026 -1.154 -1.300
H15 1.026 -1.154 1.300
H16 -0.550 -1.208 -2.092
H17 -0.550 -1.208 2.092

Atom - Atom Distances (Å)
  C1 H2 H3 C4 C5 C6 C7 N8 H9 H10 H11 H12 H13 H14 H15 H16 H17
C11.09751.10131.54421.54422.53982.53982.94813.46582.18632.18632.17452.17452.82872.82873.49843.4984
H21.09751.76322.18492.18493.49663.49663.95054.32502.54012.54012.49132.49133.83333.83334.34284.3428
H31.10131.76322.16912.16912.82442.82443.34544.08812.48182.48183.07523.07522.66872.66873.83513.8351
C41.54422.18492.16912.54772.94511.54542.52302.89921.09873.50291.10072.84133.36702.17053.93222.1916
C51.54422.18492.16912.54771.54542.94512.52302.89923.50291.09872.84131.10072.17053.36702.19163.9322
C62.53983.49662.82442.94511.54542.46711.47362.08593.93452.18333.37032.17141.09992.76151.09573.3945
C72.53983.49662.82441.54542.94512.46711.47362.08592.18333.93452.17143.37032.76151.09993.39451.0957
N82.94813.95053.34542.52302.52301.47361.47361.01763.45943.45942.83702.83702.08892.08892.09692.0969
H93.46584.32504.08812.89922.89922.08592.08591.01763.87843.87842.81872.81872.94682.94682.34872.3487
H102.18632.54012.48181.09873.50293.93452.18333.45943.87844.34241.76713.84934.17522.47784.96702.5502
H112.18632.54012.48183.50291.09872.18333.93453.45943.87844.34243.84931.76712.47784.17522.55024.9670
H122.17452.49133.07521.10072.84133.37032.17142.83702.81871.76713.84932.69314.05503.07244.17732.4865
H132.17452.49133.07522.84131.10072.17143.37032.83702.81873.84931.76712.69313.07244.05502.48654.1773
H142.82873.83332.66873.36702.17051.09992.76152.08892.94684.17522.47784.05503.07242.60061.76473.7409
H152.82873.83332.66872.17053.36702.76151.09992.08892.94682.47784.17523.07244.05502.60063.74091.7647
H163.49844.34283.83513.93222.19161.09573.39452.09692.34874.96702.55024.17732.48651.76473.74094.1837
H173.49844.34283.83512.19163.93223.39451.09572.09692.34872.55024.96702.48654.17733.74091.76474.1837

picture of Piperidine state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C4 C7 110.583 C1 C4 H10 110.496
C1 C4 H12 109.455 C1 C5 C6 110.583
C1 C5 H11 110.496 C1 C5 H13 109.455
H2 C1 H3 106.624 H2 C1 C4 110.455
H2 C1 C5 110.455 H3 C1 C4 109.007
H3 C1 C5 109.007 C4 C1 C5 111.165
C4 C7 N8 113.357 C4 C7 H15 109.108
C4 C7 H17 111.012 C5 C6 N8 113.357
C5 C6 H14 109.108 C5 C6 H16 111.012
C6 C5 H11 110.179 C6 C5 H13 109.130
C6 N8 C7 113.672 C6 N8 H9 112.423
C7 C4 H10 110.179 C7 C4 H12 109.130
C7 N8 H9 112.423 N8 C6 H14 107.637
N8 C6 H16 108.501 N8 C7 H15 107.637
N8 C7 H17 108.501 H10 C4 H12 106.914
H11 C5 H13 106.914 H14 C6 H16 106.977
H15 C7 H17 106.977
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.240      
2 H 0.124      
3 H 0.122      
4 C -0.243      
5 C -0.243      
6 C -0.126      
7 C -0.126      
8 N -0.537      
9 H 0.268      
10 H 0.119      
11 H 0.119      
12 H 0.115      
13 H 0.115      
14 H 0.135      
15 H 0.135      
16 H 0.131      
17 H 0.131      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.431 1.124 0.000 1.204
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.803 0.257 0.000
y 0.257 -43.624 0.000
z 0.000 0.000 -37.794
Traceless
 xyz
x 3.906 0.257 0.000
y 0.257 -6.326 0.000
z 0.000 0.000 2.420
Polar
3z2-r24.840
x2-y26.821
xy0.257
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.108 0.321 0.000
y 0.321 8.177 0.000
z 0.000 0.000 9.196


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