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All results from a given calculation for C6H12 (Cyclohexane)

using model chemistry: B3LYP/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes Chair 1A1g
1 2 no twist boat 1A

Conformer 1 (Chair)

Jump to S1C2
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-234.607782
Energy at 298.15K-234.622339
Nuclear repulsion energy254.379307
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/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3077 2960 0.00      
2 A1g 3034 2919 0.00      
3 A1g 1562 1502 0.00      
4 A1g 1199 1153 0.00      
5 A1g 796 766 0.00      
6 A1g 384 369 0.00      
7 A1u 1392 1339 0.00      
8 A1u 1169 1125 0.00      
9 A1u 1073 1032 0.00      
10 A2g 1400 1347 0.00      
11 A2g 1122 1079 0.00      
12 A2u 3093 2976 126.54      
13 A2u 3035 2920 36.15      
14 A2u 1554 1495 20.37      
15 A2u 1063 1023 2.73      
16 A2u 529 509 1.06      
17 Eg 3081 2964 0.00      
17 Eg 3081 2964 0.00      
18 Eg 3035 2919 0.00      
18 Eg 3035 2919 0.00      
19 Eg 1541 1482 0.00      
19 Eg 1541 1482 0.00      
20 Eg 1396 1343 0.00      
20 Eg 1396 1343 0.00      
21 Eg 1317 1267 0.00      
21 Eg 1317 1267 0.00      
22 Eg 1042 1003 0.00      
22 Eg 1042 1003 0.00      
23 Eg 806 776 0.00      
23 Eg 806 776 0.00      
24 Eg 431 414 0.00      
24 Eg 431 414 0.00      
25 Eu 3074 2957 90.98      
25 Eu 3074 2957 90.98      
26 Eu 3032 2917 28.93      
26 Eu 3032 2917 28.93      
27 Eu 1541 1483 5.97      
27 Eu 1541 1483 5.97      
28 Eu 1415 1361 0.00      
28 Eu 1415 1361 0.00      
29 Eu 1325 1275 1.20      
29 Eu 1325 1275 1.20      
30 Eu 940 905 4.09      
30 Eu 940 905 4.09      
31 Eu 857 824 2.12      
31 Eu 857 824 2.12      
32 Eu 231 222 0.05      
32 Eu 231 222 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 37802.9 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 36366.4 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 B3LYP/3-21G*
ABC
0.14206 0.14206 0.08136

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 -1.470 0.240
C2 -1.273 0.735 0.240
C3 1.273 0.735 0.240
C4 0.000 1.470 -0.240
C5 -1.273 -0.735 -0.240
C6 1.273 -0.735 -0.240
H7 0.000 -1.508 1.338
H8 -1.306 0.754 1.338
H9 1.306 0.754 1.338
H10 0.000 1.508 -1.338
H11 -1.306 -0.754 -1.338
H12 1.306 -0.754 -1.338
H13 0.000 -2.504 -0.127
H14 -2.168 1.252 -0.127
H15 2.168 1.252 -0.127
H16 0.000 2.504 0.127
H17 -2.168 -1.252 0.127
H18 2.168 -1.252 0.127

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.54572.54572.97841.54611.54611.09912.80282.80283.36982.16982.16981.09723.49913.49913.97512.18212.1821
C22.54572.54571.54611.54612.97842.80281.09912.80282.16982.16983.36983.49911.09723.49912.18212.18213.9751
C32.54572.54571.54612.97841.54612.80282.80281.09912.16983.36982.16983.49913.49911.09722.18213.97512.1821
C42.97841.54611.54612.54572.54573.36982.16982.16981.09912.80282.80283.97512.18212.18211.09723.49913.4991
C51.54611.54612.97842.54572.54572.16982.16983.36982.80281.09912.80282.18212.18213.97513.49911.09723.4991
C61.54612.97841.54612.54572.54572.16983.36982.16982.80282.80281.09912.18213.97512.18213.49913.49911.0972
H71.09912.80282.80283.36982.16982.16982.61122.61124.03183.07203.07201.77203.80313.80314.19022.49682.4968
H82.80281.09912.80282.16982.16983.36982.61122.61123.07203.07204.03183.80311.77203.80312.49682.49684.1902
H92.80282.80281.09912.16983.36982.16982.61122.61123.07204.03183.07203.80313.80311.77202.49684.19022.4968
H103.36982.16982.16981.09912.80282.80284.03183.07203.07202.61122.61124.19022.49682.49681.77203.80313.8031
H112.16982.16983.36982.80281.09912.80283.07203.07204.03182.61122.61122.49682.49684.19023.80311.77203.8031
H122.16983.36982.16982.80282.80281.09913.07204.03183.07202.61122.61122.49684.19022.49683.80313.80311.7720
H131.09723.49913.49913.97512.18212.18211.77203.80313.80314.19022.49682.49684.33664.33665.01392.51662.5166
H143.49911.09723.49912.18212.18213.97513.80311.77203.80312.49682.49684.19024.33664.33662.51662.51665.0139
H153.49913.49911.09722.18213.97512.18213.80313.80311.77202.49684.19022.49684.33664.33662.51665.01392.5166
H163.97512.18212.18211.09723.49913.49914.19022.49682.49681.77203.80313.80315.01392.51662.51664.33664.3366
H172.18212.18213.97513.49911.09723.49912.49682.49684.19023.80311.77203.80312.51662.51665.01394.33664.3366
H182.18213.97512.18213.49913.49911.09722.49684.19022.49683.80313.80311.77202.51665.01392.51664.33664.3366

picture of Cyclohexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 110.828 C1 C5 H11 109.056
C1 C5 H17 110.128 C1 C6 C3 110.828
C1 C6 H12 109.056 C1 C6 H18 110.128
C2 C4 C3 110.828 C2 C4 H10 109.056
C2 C4 H16 110.128 C2 C5 H11 109.056
C2 C5 H17 110.128 C3 C4 H10 109.056
C3 C4 H16 110.128 C3 C6 H12 109.056
C3 C6 H18 110.128 C4 C2 C5 110.828
C4 C2 H8 109.056 C4 C2 H14 110.128
C4 C3 C6 110.828 C4 C3 H9 109.056
C4 C3 H15 110.128 C5 C1 C6 110.828
C5 C1 H7 109.056 C5 C1 H13 110.128
C5 C2 H8 109.056 C5 C2 H14 110.128
C6 C1 H7 109.056 C6 C1 H13 110.128
C6 C3 H9 109.056 C6 C3 H15 110.128
H7 C1 H13 107.572 H8 C2 H14 107.572
H9 C3 H15 107.572 H10 C4 H16 107.572
H11 C5 H17 107.572 H12 C6 H18 107.572
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.364      
2 C -0.364      
3 C -0.364      
4 C -0.364      
5 C -0.364      
6 C -0.364      
7 H 0.181      
8 H 0.181      
9 H 0.181      
10 H 0.181      
11 H 0.181      
12 H 0.181      
13 H 0.183      
14 H 0.183      
15 H 0.183      
16 H 0.183      
17 H 0.183      
18 H 0.183      


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


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.125 0.000 0.000
y 0.000 -40.125 0.000
z 0.000 0.000 -39.705
Traceless
 xyz
x -0.210 0.000 0.000
y 0.000 -0.210 0.000
z 0.000 0.000 0.419
Polar
3z2-r20.839
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.966 0.000 0.000
y 0.000 8.966 0.000
z 0.000 0.000 7.930


<r2> (average value of r2) Å2
<r2> 166.906
(<r2>)1/2 12.919

Conformer 2 (twist boat)

Jump to S1C1
Energy calculated at B3LYP/3-21G*
 hartrees
Energy at 0K-234.597685
Energy at 298.15K-234.611986
Nuclear repulsion energy254.648608
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/3-21G*
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 3106 2988 101.07      
2 A 3088 2971 0.00      
3 A 3071 2955 4.42      
4 A 3054 2938 0.00      
5 A 3048 2932 36.14      
6 A 3043 2927 0.00      
7 A 1573 1514 0.00      
8 A 1566 1506 14.93      
9 A 1547 1488 0.00      
10 A 1397 1344 0.00      
11 A 1396 1343 0.16      
12 A 1366 1314 0.30      
13 A 1339 1288 0.00      
14 A 1296 1247 0.00      
15 A 1291 1242 0.64      
16 A 1058 1018 0.27      
17 A 1029 990 0.00      
18 A 959 923 0.00      
19 A 925 890 0.07      
20 A 800 770 0.00      
21 A 792 762 2.95      
22 A 469 451 0.00      
23 A 435 419 0.63      
24 A 278 267 0.00      
25 A 96 92 0.01      
26 B 3096 2978 47.24      
27 B 3086 2968 49.11      
28 B 3073 2957 49.23      
29 B 3053 2937 59.34      
30 B 3041 2925 8.57      
31 B 3036 2920 20.78      
32 B 1557 1498 5.31      
33 B 1551 1492 4.26      
34 B 1548 1489 0.17      
35 B 1415 1362 0.06      
36 B 1413 1359 0.03      
37 B 1399 1346 0.65      
38 B 1351 1299 1.59      
39 B 1201 1156 0.92      
40 B 1182 1137 1.39      
41 B 1163 1119 0.18      
42 B 1069 1029 0.00      
43 B 1040 1000 2.36      
44 B 865 832 2.50      
45 B 851 819 1.49      
46 B 782 752 2.86      
47 B 570 548 0.93      
48 B 246 237 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 37803.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 36367.2 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/3-21G*
ABC
0.14526 0.13718 0.08428

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.225 -0.660 0.400
C2 0.000 1.535 -0.000
C3 1.225 -0.660 -0.400
C4 1.225 0.660 0.400
C5 -0.000 -1.535 -0.000
C6 -1.225 0.660 -0.400
H7 -1.180 -0.423 1.471
H8 -0.270 2.186 0.840
H9 2.154 -1.217 -0.227
H10 1.180 0.423 1.471
H11 0.270 -2.186 0.840
H12 -2.154 1.217 -0.227
H13 -2.154 -1.216 0.228
H14 0.272 2.185 -0.842
H15 1.181 -0.424 -1.471
H16 2.154 1.216 0.228
H17 -0.272 -2.185 -0.842
H18 -1.181 0.424 -1.471

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.54552.57642.78191.55751.54341.09783.03363.48072.84692.18142.18581.09653.44563.05693.86792.18522.1624
C22.54552.54541.55753.07091.55752.71981.09693.50162.18963.82482.18923.50171.09692.71952.18913.82372.1897
C32.57642.54541.54341.55752.78243.05623.44591.09652.16252.18533.86833.48093.03251.09782.18572.18142.8480
C42.78191.55751.54342.54552.57642.84692.18142.18581.09783.03363.48073.86792.18522.16241.09653.44563.0569
C51.55753.07091.55752.54552.54542.18963.82482.18922.71981.09693.50162.18913.82372.18973.50171.09692.7195
C61.54341.55752.78242.57642.54542.16252.18533.86833.05623.44591.09652.18572.18142.84803.48093.03251.0978
H71.09782.71983.05622.84692.18962.16252.83483.82492.50822.36862.55381.76633.77643.77283.91783.04593.0616
H83.03361.09693.44592.18143.82482.18532.83484.31212.36864.40552.37183.93621.76733.77632.68214.68323.0457
H93.48073.50161.09652.18582.18923.86833.82494.31212.55382.37184.94694.33153.93531.76632.47462.68283.9191
H102.84692.18962.16251.09782.71983.05622.50822.36862.55382.83483.82493.91783.04593.06161.76633.77643.7728
H112.18143.82482.18533.03361.09693.44592.36864.40552.37182.83484.31212.68214.68323.04573.93621.76733.7763
H122.18582.18923.86833.48073.50161.09652.55382.37184.94693.82494.31212.47462.68283.91914.33153.93531.7663
H131.09653.50173.48093.86792.18912.18571.76633.93624.33153.91782.68212.47464.31183.82614.94662.37202.5536
H143.44561.09693.03252.18523.82372.18143.77641.76733.93533.04594.68322.68284.31182.83312.37204.40282.3682
H153.05692.71951.09782.16242.18972.84803.77283.77631.76633.06163.04573.91913.82612.83312.55362.36822.5103
H163.86792.18912.18571.09653.50173.48093.91782.68212.47461.76633.93624.33154.94662.37202.55364.31183.8261
H172.18523.82372.18143.44561.09693.03253.04594.68322.68283.77641.76733.93532.37204.40282.36824.31182.8331
H182.16242.18972.84803.05692.71951.09783.06163.04573.91913.77283.77631.76632.55362.36822.51033.82612.8331

picture of Cyclohexane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C5 C2 55.803 C1 C5 H11 109.304
C1 C5 H17 109.598 C1 C6 C3 66.051
C1 C6 H12 110.645 C1 C6 H18 108.742
C2 C4 C3 110.343 C2 C4 H10 109.896
C2 C4 H16 109.935 C2 C5 H11 126.379
C2 C5 H17 126.288 C3 C4 H10 108.752
C3 C4 H16 110.639 C3 C6 H12 170.601
C3 C6 H18 82.137 C4 C2 C5 55.803
C4 C2 H8 109.304 C4 C2 H14 109.598
C4 C3 C6 66.051 C4 C3 H9 110.645
C4 C3 H15 108.742 C5 C1 C6 110.343
C5 C1 H7 109.896 C5 C1 H13 109.935
C5 C2 H8 126.379 C5 C2 H14 126.288
C6 C1 H7 108.752 C6 C1 H13 110.639
C6 C3 H9 170.601 C6 C3 H15 82.137
H7 C1 H13 107.214 H8 C2 H14 107.334
H9 C3 H15 107.210 H10 C4 H16 107.214
H11 C5 H17 107.334 H12 C6 H18 107.210
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.375      
2 C -0.359      
3 C -0.375      
4 C -0.375      
5 C -0.359      
6 C -0.375      
7 H 0.185      
8 H 0.184      
9 H 0.185      
10 H 0.185      
11 H 0.184      
12 H 0.185      
13 H 0.185      
14 H 0.184      
15 H 0.185      
16 H 0.185      
17 H 0.184      
18 H 0.185      


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


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.934 -0.000 0.000
y -0.000 -40.195 0.000
z 0.000 0.000 -39.597
Traceless
 xyz
x -0.038 -0.000 0.000
y -0.000 -0.430 0.000
z 0.000 0.000 0.467
Polar
3z2-r20.934
x2-y20.261
xy-0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.815 0.000 0.000
y 0.000 8.843 0.000
z 0.000 0.000 7.875


<r2> (average value of r2) Å2
<r2> 165.354
(<r2>)1/2 12.859